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authorKarl Berry <karl@freefriends.org>2006-10-15 22:37:32 +0000
committerKarl Berry <karl@freefriends.org>2006-10-15 22:37:32 +0000
commit237df1eb06d422ff243a05b9a25501ba287681c1 (patch)
tree4cc4f2032474921cb986d1ca63b3cf9a267b480a
parent15e21b5bab66eca251ac48fdc052126505428d4e (diff)
pgf/tikz 1.09 big update (13oct06)
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957 files changed, 53825 insertions, 115159 deletions
diff --git a/Master/texmf-dist/doc/generic/pgf/ChangeLog b/Master/texmf-dist/doc/generic/pgf/ChangeLog
index 7803b6d53e1..c5e607ca381 100644
--- a/Master/texmf-dist/doc/generic/pgf/ChangeLog
+++ b/Master/texmf-dist/doc/generic/pgf/ChangeLog
@@ -1,3 +1,50 @@
+2006-10-11 Till Tantau <tantau@users.sourceforge.net>
+
+ Version 1.09:
+
+ - Added \usepgflibrary and \usetikzlibrary to simplify adding
+ new libraries.
+ - Added native ConTeXt support in the form of module
+ wrappers.
+ - Added patterns.
+ - Added crosses snake.
+ - Added to and edge path operations.
+ - Added to path library. In particular, this gives decent
+ curved paths.
+ - Added tikz automata library.
+ - Added tikz er diagram library.
+ - Added tikz Petri net library.
+ - Added tikz mindmap library.
+ - Added access to nodes in other pictures (!).
+ - Added extended baseline setting.
+ - Added functionality to add new coordinate systems.
+ - Added polar xy coordinate system.
+ - Added diamond shape (!).
+ - Added plot mark phase, repeat and indices.
+ - Added text height and text depth options.
+ - Added label and pin options.
+ - Added automatic node placement (!).
+ - Added pgfsys-dvi.def for pure dvi mode. Supports only
+ black and white drawing (not documented and not really usable).
+ - Added 3d library (not documented and not really usable).
+ - Cleared up license chaos.
+ - Reorganized library documentation.
+ - Removed pgflibraryautomata, use pgflibrarytikzautomata instead.
+ - Fixed tree level option bug.
+ - Fixed missing options for coordinates.
+ - Fixed bug in TikZ parabola code.
+ - Fixed bug in TikZ snake cycle code.
+ - Fixed bug with empty list in pgffor
+ - Fixed bug in code for insertion of dvips header specials.
+ - Fixed bug in shading code (wrong bigpoint correction).
+ - Fixed bug #1472666.
+ - Fixed bug #1473255.
+ - Fixed bug #1526175.
+ - Fixed bug #1542512.
+ - Fixed bug in TikZ transformation code for nested pictures.
+ - Fixed patch #1443606.
+ - Fixed path #1526178.
+
2005-11-16 Till Tantau <tantau@users.sourceforge.net>
Version 1.01:
diff --git a/Master/texmf-dist/doc/generic/pgf/FILES b/Master/texmf-dist/doc/generic/pgf/FILES
index 80ce1001244..84f25cda2e5 100644
--- a/Master/texmf-dist/doc/generic/pgf/FILES
+++ b/Master/texmf-dist/doc/generic/pgf/FILES
@@ -1,921 +1,230 @@
-pgf-1.01/doc/generic/pgf/AUTHORS
-pgf-1.01/doc/generic/pgf/ChangeLog
-pgf-1.01/doc/generic/pgf/FILES
-pgf-1.01/doc/generic/pgf/images/pgf-apple.jpg
-pgf-1.01/doc/generic/pgf/images/pgf-apple.mask.jpg
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-pgf-1.01/doc/generic/pgf/images/pgf-tu-logo.25.jpg
-pgf-1.01/doc/generic/pgf/images/pgf-tu-logo.eps
-pgf-1.01/doc/generic/pgf/images/pgf-tu-logo.jpg
-pgf-1.01/doc/generic/pgf/images/pgf-tu-logo.mask.jpg
-pgf-1.01/doc/generic/pgf/INSTALL
-pgf-1.01/doc/generic/pgf/macros/pgfmanual-en-macros.tex
-pgf-1.01/doc/generic/pgf/README
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-actions.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-arrows.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-design.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-images.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-layers.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-nodes.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-paths.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-plots.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-points.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-quick.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-scopes.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-shadings.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-snakes.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-base-transformations.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-drivers.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-guidelines.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-installation.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-introduction.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-libraries.tex
-pgf-1.01/doc/generic/pgf/text-en/pgfmanual-en-license.tex
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diff --git a/Master/texmf-dist/doc/generic/pgf/README b/Master/texmf-dist/doc/generic/pgf/README
index 4e240013963..20ad822b1cc 100644
--- a/Master/texmf-dist/doc/generic/pgf/README
+++ b/Master/texmf-dist/doc/generic/pgf/README
@@ -1,10 +1,9 @@
pgf -- A Portable Graphic Format for TeX
-See the directory doc/generic/pgf for more information.
-See the file doc/generic/pgf/version-for-pdftex/en/pgfmanual.pdf
-or doc/generic/pgf/version-for-text4ht/html/pgfmanual.html
-for a manual. This documentation also explains the
-installation.
+See the directory doc/generic/pgf for more information. See the file
+doc/generic/pgf/version-for-pdftex/en/pgfmanual.pdf for a manual. This
+documentation also explains the installation. See the file
+doc/generic/pgf/license/LICENSE for license details.
Please go to http://sourceforge.net/projects/pgf/
to submit bug reports, request new features, etc.
diff --git a/Master/texmf-dist/doc/generic/pgf/TODO b/Master/texmf-dist/doc/generic/pgf/TODO
index c8f7d95b223..bbb47805b71 100644
--- a/Master/texmf-dist/doc/generic/pgf/TODO
+++ b/Master/texmf-dist/doc/generic/pgf/TODO
@@ -1,6 +1,7 @@
-1) option to reference nodes defined in other pictures
2) Honor \graphicspath command.
3) Allow midway placement of nodes on arcs.
4) Write TiesZ (TiesZ ist ein schoenes Zeichenprogramm), a Java-GUI for TikZ.
(Good students's project!!!)
+5) Fix shading problems in SVG/Firefox.
+6) Fix text problems in SVG.
diff --git a/Master/texmf-dist/doc/generic/pgf/images/brave-gnu-world-logo-mask.jpg b/Master/texmf-dist/doc/generic/pgf/images/brave-gnu-world-logo-mask.jpg
new file mode 100644
index 00000000000..404aee1f8b8
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/images/brave-gnu-world-logo-mask.jpg
Binary files differ
diff --git a/Master/texmf-dist/doc/generic/pgf/images/brave-gnu-world-logo.25.eps b/Master/texmf-dist/doc/generic/pgf/images/brave-gnu-world-logo.25.eps
new file mode 100644
index 00000000000..9c02410d1d2
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/images/brave-gnu-world-logo.25.eps
@@ -0,0 +1,257 @@
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new file mode 100644
index 00000000000..2eae9717367
--- /dev/null
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diff --git a/Master/texmf-dist/doc/generic/pgf/images/brave-gnu-world-logo.eps b/Master/texmf-dist/doc/generic/pgf/images/brave-gnu-world-logo.eps
new file mode 100644
index 00000000000..1c5f93cff22
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MetadataString readstring pop pop } bind def ConsumeMetadata %begin_xml_packet: 5038 <?xpacket begin='' id='W5M0MpCehiHzreSzNTczkc9d'?>
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+ <rdf:Description about='uuid:191a6b3d-5975-11db-aa93-dc897f9dfcbe'
+ xmlns:pdf='http://ns.adobe.com/pdf/1.3/'>
+ <!-- pdf:Creator is aliased -->
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+ <rdf:Description about='uuid:191a6b3d-5975-11db-aa93-dc897f9dfcbe'
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+ <xap:CreatorTool>Adobe Photoshop Elements for Macintosh, version 2.0</xap:CreatorTool>
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-%%Trailer
-end
-%%EOF
diff --git a/Master/texmf-dist/doc/generic/pgf/images/pgf-tu-logo.jpg b/Master/texmf-dist/doc/generic/pgf/images/pgf-tu-logo.jpg
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diff --git a/Master/texmf-dist/doc/generic/pgf/images/pgfmanual-mindmap-2.pdf b/Master/texmf-dist/doc/generic/pgf/images/pgfmanual-mindmap-2.pdf
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diff --git a/Master/texmf-dist/doc/generic/pgf/licenses/LICENSE b/Master/texmf-dist/doc/generic/pgf/licenses/LICENSE
new file mode 100644
index 00000000000..293753aff8b
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/licenses/LICENSE
@@ -0,0 +1,34 @@
+Licenses for the PGF package
+============================
+
+Different parts of the PGF package are distributed under
+different licenses:
+
+1. The code of the package is dual-license. This means that
+ you can decide which license you wish to use when using the
+ pgf package. The two options are:
+
+ a) You can use the GNU Public License, version 2.
+ b) You can use the LaTeX Project Public License, version 1.3c.
+
+2. The documentation of the package is also dual-license. Again,
+ you can choose between two options:
+
+ a) You can use the GNU Free Documentation License, version 1.2.
+ b) You can use the LaTeX Project Public License, version 1.3c.
+
+The ``documentation of the package'' refers to all files in the
+subdirectory doc of the pgf package. A detailed listing can be
+found in the file
+
+ doc/generic/pgf/licenses/manifest-documentation.txt
+
+All files in other directories are part of the ``code of the
+package.'' A detailed listing can be found in the file
+
+ doc/generic/pgf/licenses/manifest-code.txt
+
+You will find the licenses in the manual and also as plain text
+versions in the directory
+
+ doc/generic/pgf/licenses
diff --git a/Master/texmf-dist/doc/generic/pgf/licenses/gnu-free-documentation-license-1.2.txt b/Master/texmf-dist/doc/generic/pgf/licenses/gnu-free-documentation-license-1.2.txt
new file mode 100644
index 00000000000..4a0fe1c8dee
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/licenses/gnu-free-documentation-license-1.2.txt
@@ -0,0 +1,397 @@
+ GNU Free Documentation License
+ Version 1.2, November 2002
+
+
+ Copyright (C) 2000,2001,2002 Free Software Foundation, Inc.
+ 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+
+0. PREAMBLE
+
+The purpose of this License is to make a manual, textbook, or other
+functional and useful document "free" in the sense of freedom: to
+assure everyone the effective freedom to copy and redistribute it,
+with or without modifying it, either commercially or noncommercially.
+Secondarily, this License preserves for the author and publisher a way
+to get credit for their work, while not being considered responsible
+for modifications made by others.
+
+This License is a kind of "copyleft", which means that derivative
+works of the document must themselves be free in the same sense. It
+complements the GNU General Public License, which is a copyleft
+license designed for free software.
+
+We have designed this License in order to use it for manuals for free
+software, because free software needs free documentation: a free
+program should come with manuals providing the same freedoms that the
+software does. But this License is not limited to software manuals;
+it can be used for any textual work, regardless of subject matter or
+whether it is published as a printed book. We recommend this License
+principally for works whose purpose is instruction or reference.
+
+
+1. APPLICABILITY AND DEFINITIONS
+
+This License applies to any manual or other work, in any medium, that
+contains a notice placed by the copyright holder saying it can be
+distributed under the terms of this License. Such a notice grants a
+world-wide, royalty-free license, unlimited in duration, to use that
+work under the conditions stated herein. The "Document", below,
+refers to any such manual or work. Any member of the public is a
+licensee, and is addressed as "you". You accept the license if you
+copy, modify or distribute the work in a way requiring permission
+under copyright law.
+
+A "Modified Version" of the Document means any work containing the
+Document or a portion of it, either copied verbatim, or with
+modifications and/or translated into another language.
+
+A "Secondary Section" is a named appendix or a front-matter section of
+the Document that deals exclusively with the relationship of the
+publishers or authors of the Document to the Document's overall subject
+(or to related matters) and contains nothing that could fall directly
+within that overall subject. (Thus, if the Document is in part a
+textbook of mathematics, a Secondary Section may not explain any
+mathematics.) The relationship could be a matter of historical
+connection with the subject or with related matters, or of legal,
+commercial, philosophical, ethical or political position regarding
+them.
+
+The "Invariant Sections" are certain Secondary Sections whose titles
+are designated, as being those of Invariant Sections, in the notice
+that says that the Document is released under this License. If a
+section does not fit the above definition of Secondary then it is not
+allowed to be designated as Invariant. The Document may contain zero
+Invariant Sections. If the Document does not identify any Invariant
+Sections then there are none.
+
+The "Cover Texts" are certain short passages of text that are listed,
+as Front-Cover Texts or Back-Cover Texts, in the notice that says that
+the Document is released under this License. A Front-Cover Text may
+be at most 5 words, and a Back-Cover Text may be at most 25 words.
+
+A "Transparent" copy of the Document means a machine-readable copy,
+represented in a format whose specification is available to the
+general public, that is suitable for revising the document
+straightforwardly with generic text editors or (for images composed of
+pixels) generic paint programs or (for drawings) some widely available
+drawing editor, and that is suitable for input to text formatters or
+for automatic translation to a variety of formats suitable for input
+to text formatters. A copy made in an otherwise Transparent file
+format whose markup, or absence of markup, has been arranged to thwart
+or discourage subsequent modification by readers is not Transparent.
+An image format is not Transparent if used for any substantial amount
+of text. A copy that is not "Transparent" is called "Opaque".
+
+Examples of suitable formats for Transparent copies include plain
+ASCII without markup, Texinfo input format, LaTeX input format, SGML
+or XML using a publicly available DTD, and standard-conforming simple
+HTML, PostScript or PDF designed for human modification. Examples of
+transparent image formats include PNG, XCF and JPG. Opaque formats
+include proprietary formats that can be read and edited only by
+proprietary word processors, SGML or XML for which the DTD and/or
+processing tools are not generally available, and the
+machine-generated HTML, PostScript or PDF produced by some word
+processors for output purposes only.
+
+The "Title Page" means, for a printed book, the title page itself,
+plus such following pages as are needed to hold, legibly, the material
+this License requires to appear in the title page. For works in
+formats which do not have any title page as such, "Title Page" means
+the text near the most prominent appearance of the work's title,
+preceding the beginning of the body of the text.
+
+A section "Entitled XYZ" means a named subunit of the Document whose
+title either is precisely XYZ or contains XYZ in parentheses following
+text that translates XYZ in another language. (Here XYZ stands for a
+specific section name mentioned below, such as "Acknowledgements",
+"Dedications", "Endorsements", or "History".) To "Preserve the Title"
+of such a section when you modify the Document means that it remains a
+section "Entitled XYZ" according to this definition.
+
+The Document may include Warranty Disclaimers next to the notice which
+states that this License applies to the Document. These Warranty
+Disclaimers are considered to be included by reference in this
+License, but only as regards disclaiming warranties: any other
+implication that these Warranty Disclaimers may have is void and has
+no effect on the meaning of this License.
+
+
+2. VERBATIM COPYING
+
+You may copy and distribute the Document in any medium, either
+commercially or noncommercially, provided that this License, the
+copyright notices, and the license notice saying this License applies
+to the Document are reproduced in all copies, and that you add no other
+conditions whatsoever to those of this License. You may not use
+technical measures to obstruct or control the reading or further
+copying of the copies you make or distribute. However, you may accept
+compensation in exchange for copies. If you distribute a large enough
+number of copies you must also follow the conditions in section 3.
+
+You may also lend copies, under the same conditions stated above, and
+you may publicly display copies.
+
+
+3. COPYING IN QUANTITY
+
+If you publish printed copies (or copies in media that commonly have
+printed covers) of the Document, numbering more than 100, and the
+Document's license notice requires Cover Texts, you must enclose the
+copies in covers that carry, clearly and legibly, all these Cover
+Texts: Front-Cover Texts on the front cover, and Back-Cover Texts on
+the back cover. Both covers must also clearly and legibly identify
+you as the publisher of these copies. The front cover must present
+the full title with all words of the title equally prominent and
+visible. You may add other material on the covers in addition.
+Copying with changes limited to the covers, as long as they preserve
+the title of the Document and satisfy these conditions, can be treated
+as verbatim copying in other respects.
+
+If the required texts for either cover are too voluminous to fit
+legibly, you should put the first ones listed (as many as fit
+reasonably) on the actual cover, and continue the rest onto adjacent
+pages.
+
+If you publish or distribute Opaque copies of the Document numbering
+more than 100, you must either include a machine-readable Transparent
+copy along with each Opaque copy, or state in or with each Opaque copy
+a computer-network location from which the general network-using
+public has access to download using public-standard network protocols
+a complete Transparent copy of the Document, free of added material.
+If you use the latter option, you must take reasonably prudent steps,
+when you begin distribution of Opaque copies in quantity, to ensure
+that this Transparent copy will remain thus accessible at the stated
+location until at least one year after the last time you distribute an
+Opaque copy (directly or through your agents or retailers) of that
+edition to the public.
+
+It is requested, but not required, that you contact the authors of the
+Document well before redistributing any large number of copies, to give
+them a chance to provide you with an updated version of the Document.
+
+
+4. MODIFICATIONS
+
+You may copy and distribute a Modified Version of the Document under
+the conditions of sections 2 and 3 above, provided that you release
+the Modified Version under precisely this License, with the Modified
+Version filling the role of the Document, thus licensing distribution
+and modification of the Modified Version to whoever possesses a copy
+of it. In addition, you must do these things in the Modified Version:
+
+A. Use in the Title Page (and on the covers, if any) a title distinct
+ from that of the Document, and from those of previous versions
+ (which should, if there were any, be listed in the History section
+ of the Document). You may use the same title as a previous version
+ if the original publisher of that version gives permission.
+B. List on the Title Page, as authors, one or more persons or entities
+ responsible for authorship of the modifications in the Modified
+ Version, together with at least five of the principal authors of the
+ Document (all of its principal authors, if it has fewer than five),
+ unless they release you from this requirement.
+C. State on the Title page the name of the publisher of the
+ Modified Version, as the publisher.
+D. Preserve all the copyright notices of the Document.
+E. Add an appropriate copyright notice for your modifications
+ adjacent to the other copyright notices.
+F. Include, immediately after the copyright notices, a license notice
+ giving the public permission to use the Modified Version under the
+ terms of this License, in the form shown in the Addendum below.
+G. Preserve in that license notice the full lists of Invariant Sections
+ and required Cover Texts given in the Document's license notice.
+H. Include an unaltered copy of this License.
+I. Preserve the section Entitled "History", Preserve its Title, and add
+ to it an item stating at least the title, year, new authors, and
+ publisher of the Modified Version as given on the Title Page. If
+ there is no section Entitled "History" in the Document, create one
+ stating the title, year, authors, and publisher of the Document as
+ given on its Title Page, then add an item describing the Modified
+ Version as stated in the previous sentence.
+J. Preserve the network location, if any, given in the Document for
+ public access to a Transparent copy of the Document, and likewise
+ the network locations given in the Document for previous versions
+ it was based on. These may be placed in the "History" section.
+ You may omit a network location for a work that was published at
+ least four years before the Document itself, or if the original
+ publisher of the version it refers to gives permission.
+K. For any section Entitled "Acknowledgements" or "Dedications",
+ Preserve the Title of the section, and preserve in the section all
+ the substance and tone of each of the contributor acknowledgements
+ and/or dedications given therein.
+L. Preserve all the Invariant Sections of the Document,
+ unaltered in their text and in their titles. Section numbers
+ or the equivalent are not considered part of the section titles.
+M. Delete any section Entitled "Endorsements". Such a section
+ may not be included in the Modified Version.
+N. Do not retitle any existing section to be Entitled "Endorsements"
+ or to conflict in title with any Invariant Section.
+O. Preserve any Warranty Disclaimers.
+
+If the Modified Version includes new front-matter sections or
+appendices that qualify as Secondary Sections and contain no material
+copied from the Document, you may at your option designate some or all
+of these sections as invariant. To do this, add their titles to the
+list of Invariant Sections in the Modified Version's license notice.
+These titles must be distinct from any other section titles.
+
+You may add a section Entitled "Endorsements", provided it contains
+nothing but endorsements of your Modified Version by various
+parties--for example, statements of peer review or that the text has
+been approved by an organization as the authoritative definition of a
+standard.
+
+You may add a passage of up to five words as a Front-Cover Text, and a
+passage of up to 25 words as a Back-Cover Text, to the end of the list
+of Cover Texts in the Modified Version. Only one passage of
+Front-Cover Text and one of Back-Cover Text may be added by (or
+through arrangements made by) any one entity. If the Document already
+includes a cover text for the same cover, previously added by you or
+by arrangement made by the same entity you are acting on behalf of,
+you may not add another; but you may replace the old one, on explicit
+permission from the previous publisher that added the old one.
+
+The author(s) and publisher(s) of the Document do not by this License
+give permission to use their names for publicity for or to assert or
+imply endorsement of any Modified Version.
+
+
+5. COMBINING DOCUMENTS
+
+You may combine the Document with other documents released under this
+License, under the terms defined in section 4 above for modified
+versions, provided that you include in the combination all of the
+Invariant Sections of all of the original documents, unmodified, and
+list them all as Invariant Sections of your combined work in its
+license notice, and that you preserve all their Warranty Disclaimers.
+
+The combined work need only contain one copy of this License, and
+multiple identical Invariant Sections may be replaced with a single
+copy. If there are multiple Invariant Sections with the same name but
+different contents, make the title of each such section unique by
+adding at the end of it, in parentheses, the name of the original
+author or publisher of that section if known, or else a unique number.
+Make the same adjustment to the section titles in the list of
+Invariant Sections in the license notice of the combined work.
+
+In the combination, you must combine any sections Entitled "History"
+in the various original documents, forming one section Entitled
+"History"; likewise combine any sections Entitled "Acknowledgements",
+and any sections Entitled "Dedications". You must delete all sections
+Entitled "Endorsements".
+
+
+6. COLLECTIONS OF DOCUMENTS
+
+You may make a collection consisting of the Document and other documents
+released under this License, and replace the individual copies of this
+License in the various documents with a single copy that is included in
+the collection, provided that you follow the rules of this License for
+verbatim copying of each of the documents in all other respects.
+
+You may extract a single document from such a collection, and distribute
+it individually under this License, provided you insert a copy of this
+License into the extracted document, and follow this License in all
+other respects regarding verbatim copying of that document.
+
+
+7. AGGREGATION WITH INDEPENDENT WORKS
+
+A compilation of the Document or its derivatives with other separate
+and independent documents or works, in or on a volume of a storage or
+distribution medium, is called an "aggregate" if the copyright
+resulting from the compilation is not used to limit the legal rights
+of the compilation's users beyond what the individual works permit.
+When the Document is included in an aggregate, this License does not
+apply to the other works in the aggregate which are not themselves
+derivative works of the Document.
+
+If the Cover Text requirement of section 3 is applicable to these
+copies of the Document, then if the Document is less than one half of
+the entire aggregate, the Document's Cover Texts may be placed on
+covers that bracket the Document within the aggregate, or the
+electronic equivalent of covers if the Document is in electronic form.
+Otherwise they must appear on printed covers that bracket the whole
+aggregate.
+
+
+8. TRANSLATION
+
+Translation is considered a kind of modification, so you may
+distribute translations of the Document under the terms of section 4.
+Replacing Invariant Sections with translations requires special
+permission from their copyright holders, but you may include
+translations of some or all Invariant Sections in addition to the
+original versions of these Invariant Sections. You may include a
+translation of this License, and all the license notices in the
+Document, and any Warranty Disclaimers, provided that you also include
+the original English version of this License and the original versions
+of those notices and disclaimers. In case of a disagreement between
+the translation and the original version of this License or a notice
+or disclaimer, the original version will prevail.
+
+If a section in the Document is Entitled "Acknowledgements",
+"Dedications", or "History", the requirement (section 4) to Preserve
+its Title (section 1) will typically require changing the actual
+title.
+
+
+9. TERMINATION
+
+You may not copy, modify, sublicense, or distribute the Document except
+as expressly provided for under this License. Any other attempt to
+copy, modify, sublicense or distribute the Document is void, and will
+automatically terminate your rights under this License. However,
+parties who have received copies, or rights, from you under this
+License will not have their licenses terminated so long as such
+parties remain in full compliance.
+
+
+10. FUTURE REVISIONS OF THIS LICENSE
+
+The Free Software Foundation may publish new, revised versions
+of the GNU Free Documentation License from time to time. Such new
+versions will be similar in spirit to the present version, but may
+differ in detail to address new problems or concerns. See
+http://www.gnu.org/copyleft/.
+
+Each version of the License is given a distinguishing version number.
+If the Document specifies that a particular numbered version of this
+License "or any later version" applies to it, you have the option of
+following the terms and conditions either of that specified version or
+of any later version that has been published (not as a draft) by the
+Free Software Foundation. If the Document does not specify a version
+number of this License, you may choose any version ever published (not
+as a draft) by the Free Software Foundation.
+
+
+ADDENDUM: How to use this License for your documents
+
+To use this License in a document you have written, include a copy of
+the License in the document and put the following copyright and
+license notices just after the title page:
+
+ Copyright (c) YEAR YOUR NAME.
+ Permission is granted to copy, distribute and/or modify this document
+ under the terms of the GNU Free Documentation License, Version 1.2
+ or any later version published by the Free Software Foundation;
+ with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
+ A copy of the license is included in the section entitled "GNU
+ Free Documentation License".
+
+If you have Invariant Sections, Front-Cover Texts and Back-Cover Texts,
+replace the "with...Texts." line with this:
+
+ with the Invariant Sections being LIST THEIR TITLES, with the
+ Front-Cover Texts being LIST, and with the Back-Cover Texts being LIST.
+
+If you have Invariant Sections without Cover Texts, or some other
+combination of the three, merge those two alternatives to suit the
+situation.
+
+If your document contains nontrivial examples of program code, we
+recommend releasing these examples in parallel under your choice of
+free software license, such as the GNU General Public License,
+to permit their use in free software.
diff --git a/Master/texmf-dist/doc/generic/pgf/licenses/gnu-public-license-2.txt b/Master/texmf-dist/doc/generic/pgf/licenses/gnu-public-license-2.txt
new file mode 100644
index 00000000000..d511905c164
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/licenses/gnu-public-license-2.txt
@@ -0,0 +1,339 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.,
+ 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it. (Some other Free Software Foundation software is covered by
+the GNU Lesser General Public License instead.) You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+ To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+ For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have. You must make sure that they, too, receive or can get the
+source code. And you must show them these terms so they know their
+rights.
+
+ We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+ Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software. If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+ Finally, any free program is threatened constantly by software
+patents. We wish to avoid the danger that redistributors of a free
+program will individually obtain patent licenses, in effect making the
+program proprietary. To prevent this, we have made it clear that any
+patent must be licensed for everyone's free use or not licensed at all.
+
+ The precise terms and conditions for copying, distribution and
+modification follow.
+
+ GNU GENERAL PUBLIC LICENSE
+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+ 0. This License applies to any program or other work which contains
+a notice placed by the copyright holder saying it may be distributed
+under the terms of this General Public License. The "Program", below,
+refers to any such program or work, and a "work based on the Program"
+means either the Program or any derivative work under copyright law:
+that is to say, a work containing the Program or a portion of it,
+either verbatim or with modifications and/or translated into another
+language. (Hereinafter, translation is included without limitation in
+the term "modification".) Each licensee is addressed as "you".
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope. The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the
+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
+
+ 1. You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
+conspicuously and appropriately publish on each copy an appropriate
+copyright notice and disclaimer of warranty; keep intact all the
+notices that refer to this License and to the absence of any warranty;
+and give any other recipients of the Program a copy of this License
+along with the Program.
+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+ 2. You may modify your copy or copies of the Program or any portion
+of it, thus forming a work based on the Program, and copy and
+distribute such modifications or work under the terms of Section 1
+above, provided that you also meet all of these conditions:
+
+ a) You must cause the modified files to carry prominent notices
+ stating that you changed the files and the date of any change.
+
+ b) You must cause any work that you distribute or publish, that in
+ whole or in part contains or is derived from the Program or any
+ part thereof, to be licensed as a whole at no charge to all third
+ parties under the terms of this License.
+
+ c) If the modified program normally reads commands interactively
+ when run, you must cause it, when started running for such
+ interactive use in the most ordinary way, to print or display an
+ announcement including an appropriate copyright notice and a
+ notice that there is no warranty (or else, saying that you provide
+ a warranty) and that users may redistribute the program under
+ these conditions, and telling the user how to view a copy of this
+ License. (Exception: if the Program itself is interactive but
+ does not normally print such an announcement, your work based on
+ the Program is not required to print an announcement.)
+
+These requirements apply to the modified work as a whole. If
+identifiable sections of that work are not derived from the Program,
+and can be reasonably considered independent and separate works in
+themselves, then this License, and its terms, do not apply to those
+sections when you distribute them as separate works. But when you
+distribute the same sections as part of a whole which is a work based
+on the Program, the distribution of the whole must be on the terms of
+this License, whose permissions for other licensees extend to the
+entire whole, and thus to each and every part regardless of who wrote it.
+
+Thus, it is not the intent of this section to claim rights or contest
+your rights to work written entirely by you; rather, the intent is to
+exercise the right to control the distribution of derivative or
+collective works based on the Program.
+
+In addition, mere aggregation of another work not based on the Program
+with the Program (or with a work based on the Program) on a volume of
+a storage or distribution medium does not bring the other work under
+the scope of this License.
+
+ 3. You may copy and distribute the Program (or a work based on it,
+under Section 2) in object code or executable form under the terms of
+Sections 1 and 2 above provided that you also do one of the following:
+
+ a) Accompany it with the complete corresponding machine-readable
+ source code, which must be distributed under the terms of Sections
+ 1 and 2 above on a medium customarily used for software interchange; or,
+
+ b) Accompany it with a written offer, valid for at least three
+ years, to give any third party, for a charge no more than your
+ cost of physically performing source distribution, a complete
+ machine-readable copy of the corresponding source code, to be
+ distributed under the terms of Sections 1 and 2 above on a medium
+ customarily used for software interchange; or,
+
+ c) Accompany it with the information you received as to the offer
+ to distribute corresponding source code. (This alternative is
+ allowed only for noncommercial distribution and only if you
+ received the program in object code or executable form with such
+ an offer, in accord with Subsection b above.)
+
+The source code for a work means the preferred form of the work for
+making modifications to it. For an executable work, complete source
+code means all the source code for all modules it contains, plus any
+associated interface definition files, plus the scripts used to
+control compilation and installation of the executable. However, as a
+special exception, the source code distributed need not include
+anything that is normally distributed (in either source or binary
+form) with the major components (compiler, kernel, and so on) of the
+operating system on which the executable runs, unless that component
+itself accompanies the executable.
+
+If distribution of executable or object code is made by offering
+access to copy from a designated place, then offering equivalent
+access to copy the source code from the same place counts as
+distribution of the source code, even though third parties are not
+compelled to copy the source along with the object code.
+
+ 4. You may not copy, modify, sublicense, or distribute the Program
+except as expressly provided under this License. Any attempt
+otherwise to copy, modify, sublicense or distribute the Program is
+void, and will automatically terminate your rights under this License.
+However, parties who have received copies, or rights, from you under
+this License will not have their licenses terminated so long as such
+parties remain in full compliance.
+
+ 5. You are not required to accept this License, since you have not
+signed it. However, nothing else grants you permission to modify or
+distribute the Program or its derivative works. These actions are
+prohibited by law if you do not accept this License. Therefore, by
+modifying or distributing the Program (or any work based on the
+Program), you indicate your acceptance of this License to do so, and
+all its terms and conditions for copying, distributing or modifying
+the Program or works based on it.
+
+ 6. Each time you redistribute the Program (or any work based on the
+Program), the recipient automatically receives a license from the
+original licensor to copy, distribute or modify the Program subject to
+these terms and conditions. You may not impose any further
+restrictions on the recipients' exercise of the rights granted herein.
+You are not responsible for enforcing compliance by third parties to
+this License.
+
+ 7. If, as a consequence of a court judgment or allegation of patent
+infringement or for any other reason (not limited to patent issues),
+conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License. If you cannot
+distribute so as to satisfy simultaneously your obligations under this
+License and any other pertinent obligations, then as a consequence you
+may not distribute the Program at all. For example, if a patent
+license would not permit royalty-free redistribution of the Program by
+all those who receive copies directly or indirectly through you, then
+the only way you could satisfy both it and this License would be to
+refrain entirely from distribution of the Program.
+
+If any portion of this section is held invalid or unenforceable under
+any particular circumstance, the balance of the section is intended to
+apply and the section as a whole is intended to apply in other
+circumstances.
+
+It is not the purpose of this section to induce you to infringe any
+patents or other property right claims or to contest validity of any
+such claims; this section has the sole purpose of protecting the
+integrity of the free software distribution system, which is
+implemented by public license practices. Many people have made
+generous contributions to the wide range of software distributed
+through that system in reliance on consistent application of that
+system; it is up to the author/donor to decide if he or she is willing
+to distribute software through any other system and a licensee cannot
+impose that choice.
+
+This section is intended to make thoroughly clear what is believed to
+be a consequence of the rest of this License.
+
+ 8. If the distribution and/or use of the Program is restricted in
+certain countries either by patents or by copyrighted interfaces, the
+original copyright holder who places the Program under this License
+may add an explicit geographical distribution limitation excluding
+those countries, so that distribution is permitted only in or among
+countries not thus excluded. In such case, this License incorporates
+the limitation as if written in the body of this License.
+
+ 9. The Free Software Foundation may publish revised and/or new versions
+of the General Public License from time to time. Such new versions will
+be similar in spirit to the present version, but may differ in detail to
+address new problems or concerns.
+
+Each version is given a distinguishing version number. If the Program
+specifies a version number of this License which applies to it and "any
+later version", you have the option of following the terms and conditions
+either of that version or of any later version published by the Free
+Software Foundation. If the Program does not specify a version number of
+this License, you may choose any version ever published by the Free Software
+Foundation.
+
+ 10. If you wish to incorporate parts of the Program into other free
+programs whose distribution conditions are different, write to the author
+to ask for permission. For software which is copyrighted by the Free
+Software Foundation, write to the Free Software Foundation; we sometimes
+make exceptions for this. Our decision will be guided by the two goals
+of preserving the free status of all derivatives of our free software and
+of promoting the sharing and reuse of software generally.
+
+ NO WARRANTY
+
+ 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
+OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
+PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
+OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
+TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
+PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
+REPAIR OR CORRECTION.
+
+ 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
+INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
+OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
+TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+ <one line to give the program's name and a brief idea of what it does.>
+ Copyright (C) <year> <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License along
+ with this program; if not, write to the Free Software Foundation, Inc.,
+ 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
+
+ Gnomovision version 69, Copyright (C) year name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Lesser General
+Public License instead of this License.
diff --git a/Master/texmf-dist/doc/generic/pgf/licenses/latex-project-public-license-1.3c.txt b/Master/texmf-dist/doc/generic/pgf/licenses/latex-project-public-license-1.3c.txt
new file mode 100644
index 00000000000..90e5e3ab797
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/licenses/latex-project-public-license-1.3c.txt
@@ -0,0 +1,416 @@
+The LaTeX Project Public License
+=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
+
+LPPL Version 1.3c 2006-05-20
+
+Copyright 1999 2002-2006 LaTeX3 Project
+ Everyone is allowed to distribute verbatim copies of this
+ license document, but modification of it is not allowed.
+
+
+PREAMBLE
+========
+
+The LaTeX Project Public License (LPPL) is the primary license under
+which the the LaTeX kernel and the base LaTeX packages are distributed.
+
+You may use this license for any work of which you hold the copyright
+and which you wish to distribute. This license may be particularly
+suitable if your work is TeX-related (such as a LaTeX package), but
+it is written in such a way that you can use it even if your work is
+unrelated to TeX.
+
+The section `WHETHER AND HOW TO DISTRIBUTE WORKS UNDER THIS LICENSE',
+below, gives instructions, examples, and recommendations for authors
+who are considering distributing their works under this license.
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+This license gives conditions under which a work may be distributed
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+We, the LaTeX3 Project, believe that the conditions below give you
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+and `modguide.tex' in the base LaTeX distribution for suggestions.
+
+
+DEFINITIONS
+===========
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+In this license document the following terms are used:
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+ Any work being distributed under this License.
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+
+CONDITIONS ON DISTRIBUTION AND MODIFICATION
+===========================================
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+
+MAINTENANCE OF THE WORK
+=======================
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+If the Work is unmaintained, you can become the Current Maintainer of
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+
+ 3a. If the Current Maintainer is reachable and agrees to pass
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+ b. If the Current Maintainer is not reachable and the Copyright
+ Holder agrees that maintenance of the Work be passed to you,
+ then this takes effect immediately upon announcement.
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+ 4. If you make an `intention announcement' as described in 2b. above
+ and after three months your intention is challenged neither by
+ the Current Maintainer nor by the Copyright Holder nor by other
+ people, then you may arrange for the Work to be changed so as
+ to name you as the (new) Current Maintainer.
+
+ 5. If the previously unreachable Current Maintainer becomes
+ reachable once more within three months of a change completed
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+ become or remain the Current Maintainer upon request provided
+ they then update their communication data within one month.
+
+A change in the Current Maintainer does not, of itself, alter the fact
+that the Work is distributed under the LPPL license.
+
+If you become the Current Maintainer of the Work, you should
+immediately provide, within the Work, a prominent and unambiguous
+statement of your status as Current Maintainer. You should also
+announce your new status to the same pertinent community as
+in 2b) above.
+
+
+WHETHER AND HOW TO DISTRIBUTE WORKS UNDER THIS LICENSE
+======================================================
+
+This section contains important instructions, examples, and
+recommendations for authors who are considering distributing their
+works under this license. These authors are addressed as `you' in
+this section.
+
+Choosing This License or Another License
+----------------------------------------
+
+If for any part of your work you want or need to use *distribution*
+conditions that differ significantly from those in this license, then
+do not refer to this license anywhere in your work but, instead,
+distribute your work under a different license. You may use the text
+of this license as a model for your own license, but your license
+should not refer to the LPPL or otherwise give the impression that
+your work is distributed under the LPPL.
+
+The document `modguide.tex' in the base LaTeX distribution explains
+the motivation behind the conditions of this license. It explains,
+for example, why distributing LaTeX under the GNU General Public
+License (GPL) was considered inappropriate. Even if your work is
+unrelated to LaTeX, the discussion in `modguide.tex' may still be
+relevant, and authors intending to distribute their works under any
+license are encouraged to read it.
+
+A Recommendation on Modification Without Distribution
+-----------------------------------------------------
+
+It is wise never to modify a component of the Work, even for your own
+personal use, without also meeting the above conditions for
+distributing the modified component. While you might intend that such
+modifications will never be distributed, often this will happen by
+accident -- you may forget that you have modified that component; or
+it may not occur to you when allowing others to access the modified
+version that you are thus distributing it and violating the conditions
+of this license in ways that could have legal implications and, worse,
+cause problems for the community. It is therefore usually in your
+best interest to keep your copy of the Work identical with the public
+one. Many works provide ways to control the behavior of that work
+without altering any of its licensed components.
+
+How to Use This License
+-----------------------
+
+To use this license, place in each of the components of your work both
+an explicit copyright notice including your name and the year the work
+was authored and/or last substantially modified. Include also a
+statement that the distribution and/or modification of that
+component is constrained by the conditions in this license.
+
+Here is an example of such a notice and statement:
+
+ %% pig.dtx
+ %% Copyright 2005 M. Y. Name
+ %
+ % This work may be distributed and/or modified under the
+ % conditions of the LaTeX Project Public License, either version 1.3
+ % of this license or (at your option) any later version.
+ % The latest version of this license is in
+ % http://www.latex-project.org/lppl.txt
+ % and version 1.3 or later is part of all distributions of LaTeX
+ % version 2005/12/01 or later.
+ %
+ % This work has the LPPL maintenance status `maintained'.
+ %
+ % The Current Maintainer of this work is M. Y. Name.
+ %
+ % This work consists of the files pig.dtx and pig.ins
+ % and the derived file pig.sty.
+
+Given such a notice and statement in a file, the conditions
+given in this license document would apply, with the `Work' referring
+to the three files `pig.dtx', `pig.ins', and `pig.sty' (the last being
+generated from `pig.dtx' using `pig.ins'), the `Base Interpreter'
+referring to any `LaTeX-Format', and both `Copyright Holder' and
+`Current Maintainer' referring to the person `M. Y. Name'.
+
+If you do not want the Maintenance section of LPPL to apply to your
+Work, change `maintained' above into `author-maintained'.
+However, we recommend that you use `maintained', as the Maintenance
+section was added in order to ensure that your Work remains useful to
+the community even when you can no longer maintain and support it
+yourself.
+
+Derived Works That Are Not Replacements
+---------------------------------------
+
+Several clauses of the LPPL specify means to provide reliability and
+stability for the user community. They therefore concern themselves
+with the case that a Derived Work is intended to be used as a
+(compatible or incompatible) replacement of the original Work. If
+this is not the case (e.g., if a few lines of code are reused for a
+completely different task), then clauses 6b and 6d shall not apply.
+
+
+Important Recommendations
+-------------------------
+
+ Defining What Constitutes the Work
+
+ The LPPL requires that distributions of the Work contain all the
+ files of the Work. It is therefore important that you provide a
+ way for the licensee to determine which files constitute the Work.
+ This could, for example, be achieved by explicitly listing all the
+ files of the Work near the copyright notice of each file or by
+ using a line such as:
+
+ % This work consists of all files listed in manifest.txt.
+
+ in that place. In the absence of an unequivocal list it might be
+ impossible for the licensee to determine what is considered by you
+ to comprise the Work and, in such a case, the licensee would be
+ entitled to make reasonable conjectures as to which files comprise
+ the Work.
+
diff --git a/Master/texmf-dist/doc/generic/pgf/licenses/manifest-code.txt b/Master/texmf-dist/doc/generic/pgf/licenses/manifest-code.txt
new file mode 100644
index 00000000000..8302e5722fb
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/licenses/manifest-code.txt
@@ -0,0 +1,113 @@
+pgf-1.09/context/pgf/basiclayer/t-pgf.tex
+pgf-1.09/context/pgf/basiclayer/t-pgfbim.tex
+pgf-1.09/context/pgf/basiclayer/t-pgfbla.tex
+pgf-1.09/context/pgf/basiclayer/t-pgfbpl.tex
+pgf-1.09/context/pgf/basiclayer/t-pgfbpt.tex
+pgf-1.09/context/pgf/basiclayer/t-pgfbsh.tex
+pgf-1.09/context/pgf/basiclayer/t-pgfbsn.tex
+pgf-1.09/context/pgf/basiclayer/t-pgfcor.tex
+pgf-1.09/context/pgf/frontendlayer/t-tikz.tex
+pgf-1.09/context/pgf/systemlayer/t-pgfsys.tex
+pgf-1.09/context/pgf/utilities/t-pgffor.tex
+pgf-1.09/context/pgf/utilities/t-pgfmod.tex
+pgf-1.09/context/pgf/utilities/t-pgfrcs.tex
+pgf-1.09/generic/pgf/basiclayer/pgfbaseimage.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfbaselayers.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfbasepatterns.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfbaseplot.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfbaseshapes.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfbasesnakes.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcore.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcorearrows.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcoremath.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcoreobjects.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcorepathusage.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcorepoints.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcorequick.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcorescopes.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcoreshade.code.tex
+pgf-1.09/generic/pgf/basiclayer/pgfcoretransformations.code.tex
+pgf-1.09/generic/pgf/frontendlayer/tikz.code.tex
+pgf-1.09/generic/pgf/libraries/pgflibraryarrows.code.tex
+pgf-1.09/generic/pgf/libraries/pgflibrarypatterns.code.tex
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+pgf-1.09/generic/pgf/systemlayer/pgfsys.code.tex
+pgf-1.09/generic/pgf/systemlayer/pgfsysprotocol.code.tex
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+pgf-1.09/generic/pgf/utilities/pgffor.code.tex
+pgf-1.09/generic/pgf/utilities/pgfrcs.code.tex
+pgf-1.09/latex/pgf/basiclayer/pgf.sty
+pgf-1.09/latex/pgf/basiclayer/pgfbaseimage.sty
+pgf-1.09/latex/pgf/basiclayer/pgfbaselayers.sty
+pgf-1.09/latex/pgf/basiclayer/pgfbasepatterns.sty
+pgf-1.09/latex/pgf/basiclayer/pgfbaseplot.sty
+pgf-1.09/latex/pgf/basiclayer/pgfbaseshapes.sty
+pgf-1.09/latex/pgf/basiclayer/pgfbasesnakes.sty
+pgf-1.09/latex/pgf/basiclayer/pgfcore.sty
+pgf-1.09/latex/pgf/compatibility/pgflibraryautomata.sty
+pgf-1.09/latex/pgf/compatibility/pgflibraryarrows.sty
+pgf-1.09/latex/pgf/compatibility/pgflibraryplothandlers.sty
+pgf-1.09/latex/pgf/compatibility/pgflibraryplotmarks.sty
+pgf-1.09/latex/pgf/compatibility/pgflibraryshapes.sty
+pgf-1.09/latex/pgf/compatibility/pgflibrarysnakes.sty
+pgf-1.09/latex/pgf/compatibility/pgflibrarytikzbackgrounds.sty
+pgf-1.09/latex/pgf/compatibility/pgflibrarytikztrees.sty
+pgf-1.09/latex/pgf/compatibility/pgfarrows.sty
+pgf-1.09/latex/pgf/compatibility/pgfautomata.sty
+pgf-1.09/latex/pgf/compatibility/pgfcomp-version-0-65.sty
+pgf-1.09/latex/pgf/compatibility/pgfheaps.sty
+pgf-1.09/latex/pgf/compatibility/pgfnodes.sty
+pgf-1.09/latex/pgf/compatibility/pgfshade.sty
+pgf-1.09/latex/pgf/frontendlayer/pgfpict2e.sty
+pgf-1.09/latex/pgf/frontendlayer/tikz.sty
+pgf-1.09/latex/pgf/systemlayer/pgfsys.sty
+pgf-1.09/latex/pgf/utilities/pgffor.sty
+pgf-1.09/latex/pgf/utilities/pgfpages.sty
+pgf-1.09/latex/pgf/utilities/pgfrcs.sty
+pgf-1.09/latex/pgf/utilities/pgfreadexternal.sty
+pgf-1.09/latex/pgf/utilities/pgfwriteexternal.sty
+pgf-1.09/latex/pgf/utilities/xxcolor.sty
+pgf-1.09/plain/pgf/basiclayer/pgf.tex
+pgf-1.09/plain/pgf/basiclayer/pgfbaseimage.tex
+pgf-1.09/plain/pgf/basiclayer/pgfbaselayers.tex
+pgf-1.09/plain/pgf/basiclayer/pgfbasepatterns.tex
+pgf-1.09/plain/pgf/basiclayer/pgfbaseplot.tex
+pgf-1.09/plain/pgf/basiclayer/pgfbaseshapes.tex
+pgf-1.09/plain/pgf/basiclayer/pgfbasesnakes.tex
+pgf-1.09/plain/pgf/basiclayer/pgfcore.tex
+pgf-1.09/plain/pgf/frontendlayer/tikz.tex
+pgf-1.09/plain/pgf/systemlayer/pgfsys.tex
+pgf-1.09/plain/pgf/utilities/pgffor.tex
+pgf-1.09/README
diff --git a/Master/texmf-dist/doc/generic/pgf/licenses/manifest-documentation.txt b/Master/texmf-dist/doc/generic/pgf/licenses/manifest-documentation.txt
new file mode 100644
index 00000000000..57850002bc9
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/licenses/manifest-documentation.txt
@@ -0,0 +1,117 @@
+pgf-1.09/doc/generic/pgf/AUTHORS
+pgf-1.09/doc/generic/pgf/ChangeLog
+pgf-1.09/doc/generic/pgf/FILES
+pgf-1.09/doc/generic/pgf/images/brave-gnu-world-logo-mask.jpg
+pgf-1.09/doc/generic/pgf/images/brave-gnu-world-logo.25.eps
+pgf-1.09/doc/generic/pgf/images/brave-gnu-world-logo.25.jpg
+pgf-1.09/doc/generic/pgf/images/brave-gnu-world-logo.eps
+pgf-1.09/doc/generic/pgf/images/brave-gnu-world-logo.jpg
+pgf-1.09/doc/generic/pgf/images/pgfmanual-mindmap-1.pdf
+pgf-1.09/doc/generic/pgf/images/pgfmanual-mindmap-2.pdf
+pgf-1.09/doc/generic/pgf/INSTALL
+pgf-1.09/doc/generic/pgf/licenses/gnu-free-documentation-license-1.2.txt
+pgf-1.09/doc/generic/pgf/licenses/gnu-public-license-2.txt
+pgf-1.09/doc/generic/pgf/licenses/latex-project-public-license-1.3c.txt
+pgf-1.09/doc/generic/pgf/licenses/manifest-documentation.txt
+pgf-1.09/doc/generic/pgf/licenses/manifest-code.txt
+pgf-1.09/doc/generic/pgf/licenses/LICENSE
+pgf-1.09/doc/generic/pgf/macros/pgfmanual-en-macros.tex
+pgf-1.09/doc/generic/pgf/README
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-actions.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-arrows.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-design.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-images.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-layers.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-nodes.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-paths.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-patterns.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-plots.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-points.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-quick.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-scopes.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-shadings.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-snakes.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-base-transformations.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-drivers.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-guidelines.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-installation.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-introduction.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-3d.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-arrows.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-automata.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-backgrounds.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-edges.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-er.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-mindmaps.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-patterns.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-petri.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-plot-handlers.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-plot-marks.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-shapes.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-snakes.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-library-trees.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-license.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-main.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-pages.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-pgffor.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-commands.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-overview.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-paths.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-protocol.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-tikz-actions.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-tikz-coordinates.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-tikz-design.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-tikz-paths.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-tikz-scopes.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-tikz-shapes.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-tikz-transformations.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-tikz-trees.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-tutorial-nodes.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-tutorial.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-en-xxcolor.tex
+pgf-1.09/doc/generic/pgf/text-en/pgfmanual-main.tex
+pgf-1.09/doc/generic/pgf/text-en/plots/pgf-asymptotic-example.gnuplot
+pgf-1.09/doc/generic/pgf/text-en/plots/pgf-asymptotic-example.table
+pgf-1.09/doc/generic/pgf/text-en/plots/pgf-exp.gnuplot
+pgf-1.09/doc/generic/pgf/text-en/plots/pgf-exp.table
+pgf-1.09/doc/generic/pgf/text-en/plots/pgf-parametric-example.gnuplot
+pgf-1.09/doc/generic/pgf/text-en/plots/pgf-parametric-example.table
+pgf-1.09/doc/generic/pgf/text-en/plots/pgf-sin.gnuplot
+pgf-1.09/doc/generic/pgf/text-en/plots/pgf-sin.table
+pgf-1.09/doc/generic/pgf/text-en/plots/pgf-x.gnuplot
+pgf-1.09/doc/generic/pgf/text-en/plots/pgf-x.table
+pgf-1.09/doc/generic/pgf/text-en/plots/pgfmanual-sine.gnuplot
+pgf-1.09/doc/generic/pgf/text-en/plots/pgfmanual-sine.table
+pgf-1.09/doc/generic/pgf/text-en/plots/pgfplotgnuplot-example.gnuplot
+pgf-1.09/doc/generic/pgf/text-en/plots/pgfplotgnuplot-example.table
+pgf-1.09/doc/generic/pgf/TODO
+pgf-1.09/doc/generic/pgf/version-for-dvipdfm/en/Makefile
+pgf-1.09/doc/generic/pgf/version-for-dvipdfm/en/pgfmanual.tex
+pgf-1.09/doc/generic/pgf/version-for-dvipdfm/pgfmanual-dvipdfm.cfg
+pgf-1.09/doc/generic/pgf/version-for-dvips/en/Makefile
+pgf-1.09/doc/generic/pgf/version-for-dvips/en/pgfmanual.tex
+pgf-1.09/doc/generic/pgf/version-for-dvips/pgfmanual-dvips.cfg
+pgf-1.09/doc/generic/pgf/version-for-pdftex/en/Makefile
+pgf-1.09/doc/generic/pgf/version-for-pdftex/en/pgfmanual.pdf
+pgf-1.09/doc/generic/pgf/version-for-pdftex/en/pgfmanual.tex
+pgf-1.09/doc/generic/pgf/version-for-pdftex/pgfmanual-pdftex.cfg
+pgf-1.09/doc/generic/pgf/version-for-tex4ht/en/Makefile
+pgf-1.09/doc/generic/pgf/version-for-tex4ht/en/pgfmanual.tex
+pgf-1.09/doc/generic/pgf/version-for-tex4ht/pgfmanual-tex4ht.cfg
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/Makefile
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/pgfmanual.tex
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgf-asymptotic-example.gnuplot
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgf-asymptotic-example.table
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgf-exp.gnuplot
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgf-exp.table
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgf-parametric-example.gnuplot
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgf-parametric-example.table
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgf-sin.gnuplot
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgf-sin.table
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgf-x.gnuplot
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgf-x.table
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgfmanual-sine.gnuplot
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgfmanual-sine.table
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgfplotgnuplot-example.gnuplot
+pgf-1.09/doc/generic/pgf/version-for-vtex/en/plots/pgfplotgnuplot-example.table
+pgf-1.09/doc/generic/pgf/version-for-vtex/pgfmanual-vtex.cfg
diff --git a/Master/texmf-dist/doc/generic/pgf/macros/pgfmanual-en-macros.tex b/Master/texmf-dist/doc/generic/pgf/macros/pgfmanual-en-macros.tex
index 578043af199..06a5d4e31d5 100644
--- a/Master/texmf-dist/doc/generic/pgf/macros/pgfmanual-en-macros.tex
+++ b/Master/texmf-dist/doc/generic/pgf/macros/pgfmanual-en-macros.tex
@@ -1,10 +1,13 @@
-% $Header: /cvsroot/pgf/pgf/doc/generic/pgf/macros/pgfmanual-en-macros.tex,v 1.1 2005/11/14 17:37:50 tantau Exp $
-
-% Copyright 2003, 2004 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+% $Header: /cvsroot/pgf/pgf/doc/generic/pgf/macros/pgfmanual-en-macros.tex,v 1.8 2006/10/11 15:00:27 tantau Exp $
\providecommand\href[2]{\texttt{#1}}
@@ -79,6 +82,23 @@
\index{Environments!#1@\protect\texttt{#1}}}
+\newenvironment{contextenvironment}[1]{
+ \begin{pgfmanualentry}
+ \extractcontextenvironement#1\@@
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+\def\extractcontextenvironement#1#2\@@{%
+ \pgfmanualentryheadline{{\ttfamily\declare{\char`\\start#1}}#2}%
+ \pgfmanualentryheadline{{\ttfamily\ \ }\meta{environment contents}}%
+ \pgfmanualentryheadline{{\ttfamily\declare{\char`\\stop#1}}}%
+ \index{#1@\protect\texttt{#1} environment}%
+ \index{Environments!#1@\protect\texttt{#1}}}
+
+
\newenvironment{shape}[1]{
\begin{pgfmanualentry}
\pgfmanualentryheadline{Shape {\ttfamily\declare{#1}}}%
@@ -90,6 +110,28 @@
\end{pgfmanualentry}
}
+\newenvironment{predefinednode}[1]{
+ \begin{pgfmanualentry}
+ \pgfmanualentryheadline{Predefined node {\ttfamily\declare{#1}}}%
+ \index{#1@\protect\texttt{#1} node}%
+ \index{Predefined node!#1@\protect\texttt{#1}}
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+\newenvironment{coordinatesystem}[1]{
+ \begin{pgfmanualentry}
+ \pgfmanualentryheadline{Coordinate system {\ttfamily\declare{#1}}}%
+ \index{#1@\protect\texttt{#1} coordinate system}%
+ \index{Coordinate systems!#1@\protect\texttt{#1}}
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
\newenvironment{snake}[1]{
\begin{pgfmanualentry}
\pgfmanualentryheadline{Snake {\ttfamily\declare{#1}}}%
@@ -132,7 +174,37 @@
\index{#1@\protect\texttt{#1} package}%
\index{Packages and files!#1@\protect\texttt{#1}}%
\pgfmanualentryheadline{{\ttfamily\char`\\input \declare{#1}.tex\space\space\space \char`\%\space\space plain \TeX}}
- \pgfmanualentryheadline{{\ttfamily\char`\\input \declare{#1}.tex\space\space\space \char`\%\space\space Con\TeX t}}
+ \pgfmanualentryheadline{{\ttfamily\char`\\usemodule[\declare{#1}]\space\space \char`\%\space\space Con\TeX t}}
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+
+\newenvironment{pgflibrary}[1]{
+ \begin{pgfmanualentry}
+ \pgfmanualentryheadline{{\ttfamily\char`\\usepgflibrary\char`\{\declare{#1}\char`\}\space\space\space
+ \char`\%\space\space \LaTeX\space and plain \TeX\space and pure pgf}}
+ \index{#1@\protect\texttt{#1} library}%
+ \index{Libraries!#1@\protect\texttt{#1}}%
+ \pgfmanualentryheadline{{\ttfamily\char`\\usepgflibrary[\declare{#1}]\space\space \char`\%\space\space Con\TeX t\space and pure pgf}}
+ \pgfmanualentryheadline{{\ttfamily\char`\\usetikzlibrary\char`\{\declare{#1}\char`\}\space\space
+ \char`\%\space\space \LaTeX\space and plain \TeX\space when using \tikzname}}
+ \pgfmanualentryheadline{{\ttfamily\char`\\usetikzlibrary[\declare{#1}]\space
+ \char`\%\space\space Con\TeX t\space when using \tikzname}}
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+\newenvironment{tikzlibrary}[1]{
+ \begin{pgfmanualentry}
+ \pgfmanualentryheadline{{\ttfamily\char`\\usetikzlibrary\char`\{\declare{#1}\char`\}\space\space \char`\%\space\space \LaTeX\space and plain \TeX}}
+ \index{#1@\protect\texttt{#1} library}%
+ \index{Libraries!#1@\protect\texttt{#1}}%
+ \pgfmanualentryheadline{{\ttfamily\char`\\usetikzlibrary[\declare{#1}]\space \char`\%\space\space Con\TeX t}}
\pgfmanualbody
}
{
@@ -271,6 +343,17 @@
\def\noindexing{\let\index=\@gobble}
+\newcommand\patternindex[1]{
+ \index{#1@\protect\texttt{#1} pattern}%
+ \index{Patterns!#1@\protect\texttt{#1}}
+ \texttt{#1}&
+ \begin{tikzpicture}
+ \path[draw=black!50,very thin,pattern=#1,rounded corners]
+ (0pt,0pt) rectangle (1cm,1.5em);
+ \end{tikzpicture}
+}
+
+
\newcommand\symarrow[1]{
\index{#1@\protect\texttt{#1} arrow tip}%
\index{Arrow tips!#1@\protect\texttt{#1}}
@@ -362,6 +445,11 @@
\define@key{codeexample}{code}{\colorlet{codebackground}{#1}}
\define@key{codeexample}{execute code}{\csname code@execute#1\endcsname}
\define@key{codeexample}{code only}[]{\code@executefalse}
+\define@key{codeexample}{pre}{\def\code@pre{#1}}
+\define@key{codeexample}{post}{\def\code@post{#1}}
+
+\def\code@pre{}
+\def\code@post{}
\newdimen\codeexamplewidth
\newif\ifcode@execute
@@ -392,7 +480,7 @@
\xdef\code@temp{#1}% removes returns and comments
}%
\colorbox{graphicbackground}{\color{black}\ignorespaces%
- \expandafter\scantokens\expandafter{\code@temp\ignorespaces}\ignorespaces}%
+ \code@pre\expandafter\scantokens\expandafter{\code@temp\ignorespaces}\code@post\ignorespaces}%
}%
}%
\ifdim\wd\codeexamplebox>\codeexamplewidth%
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-actions.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-actions.tex
index f0e0f45c061..57da67015f5 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-actions.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-actions.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Using Paths}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-arrows.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-arrows.tex
index 078a929d4e3..f47e5d09558 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-arrows.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-arrows.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Arrow Tips}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-design.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-design.tex
index 1318c780235..ef4315b9172 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-design.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-design.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Design Principles}
@@ -47,6 +50,9 @@ The following optional packages are provided by the basic layer:
|pgfbaseshapes| provides commands for drawing shapes and
nodes.
\item
+ |pgfbasepatterns| provides commands for declaring and using tiling
+ patterns.
+\item
|pgfbaseimage| provides commands for including external
images. The |graphicx| package does a much better job at this than
the |pgfbaseimage| package does, so you should normally use
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-images.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-images.tex
index ebadb54e5ff..f4c81db9c75 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-images.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-images.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Declaring and Using Images}
@@ -111,9 +114,9 @@ option:
\end{itemize}
\begin{codeexample}[code only]
-\pgfdeclareimage[interpolate=true,height=1cm]{image1}{pgf-tu-logo}
-\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]{image2}{pgf-tu-logo}
-\pgfdeclareimage[interpolate=true,height=1cm]{image3}{pgf-tu-logo}
+\pgfdeclareimage[interpolate=true,height=1cm]{image1}{brave-gnu-world-logo}
+\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]{image2}{brave-gnu-world-logo}
+\pgfdeclareimage[interpolate=true,height=1cm]{image3}{brave-gnu-world-logo}
\end{codeexample}
\end{command}
@@ -150,9 +153,10 @@ option:
color mixin.
\begin{codeexample}[]
-\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]{image1}{pgf-tu-logo}
-\pgfdeclareimage[interpolate=true,width=1cm]{image2}{pgf-tu-logo}
-\pgfdeclareimage[interpolate=true,height=1cm]{image3}{pgf-tu-logo}
+\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]
+ {image1}{brave-gnu-world-logo}
+\pgfdeclareimage[interpolate=true,width=1cm]{image2}{brave-gnu-world-logo}
+\pgfdeclareimage[interpolate=true,height=1cm]{image3}{brave-gnu-world-logo}
\begin{pgfpicture}
\pgftext[at=\pgfpoint{1cm}{5cm},left,base]{\pgfuseimage{image1}}
\pgftext[at=\pgfpoint{1cm}{3cm},left,base]{\pgfuseimage{image2}}
@@ -170,11 +174,11 @@ option:
\begin{codeexample}[]
\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]
- {image1.!25!white}{pgf-tu-logo.25}
+ {image1.!25!white}{brave-gnu-world-logo.25}
\pgfdeclareimage[interpolate=true,width=1cm]
- {image2.25!white}{pgf-tu-logo.25}
+ {image2.25!white}{brave-gnu-world-logo.25}
\pgfdeclareimage[interpolate=true,height=1cm]
- {image3.white}{pgf-tu-logo.25}
+ {image3.white}{brave-gnu-world-logo.25}
\begin{colormixin}{25!white}
\begin{pgfpicture}
\pgftext[at=\pgfpoint{1cm}{5cm},left,base]{\pgfuseimage{image1}}
@@ -207,11 +211,11 @@ option:
\begin{colormixin}{25!white}
\begin{pgfpicture}
\pgftext[at=\pgfpoint{1cm}{5cm},left,base]
- {\pgfimage[interpolate=true,width=1cm,height=1cm]{pgf-tu-logo}}
+ {\pgfimage[interpolate=true,width=1cm,height=1cm]{brave-gnu-world-logo}}
\pgftext[at=\pgfpoint{1cm}{3cm},left,base]
- {\pgfimage[interpolate=true,width=1cm]{pgf-tu-logo}}
+ {\pgfimage[interpolate=true,width=1cm]{brave-gnu-world-logo}}
\pgftext[at=\pgfpoint{1cm}{1cm},left,base]
- {\pgfimage[interpolate=true,height=1cm]{pgf-tu-logo}}
+ {\pgfimage[interpolate=true,height=1cm]{brave-gnu-world-logo}}
\pgfpathrectangle{\pgfpoint{1cm}{5cm}}{\pgfpoint{1cm}{1cm}}
\pgfpathrectangle{\pgfpoint{1cm}{3cm}}{\pgfpoint{1cm}{1cm}}
@@ -265,10 +269,10 @@ color(2cm)=(green); color(4cm)=(blue); color(6cm)=(red);
color(8cm)=(green); color(10cm)=(blue); color(12cm)=(red);
color(14cm)=(green)}
\hbox{\pgfuseshading{colorful}\hskip-14cm\hskip1cm
-\pgfimage[height=4cm]{pgf-apple}\hskip1cm
-\pgfimage[height=4cm]{pgf-apple.mask}\hskip1cm
-\pgfdeclaremask{mymask}{pgf-apple.mask}
-\pgfimage[mask=mymask,height=4cm,interpolate=true]{pgf-apple}}
+\pgfimage[height=4cm]{brave-gnu-world-logo}\hskip1cm
+\pgfimage[height=4cm]{brave-gnu-world-logo-mask}\hskip1cm
+\pgfdeclaremask{mymask}{brave-gnu-world-logo-mask}
+\pgfimage[mask=mymask,height=4cm,interpolate=true]{brave-gnu-world-logo}}
\end{codeexample}
\end{command}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-layers.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-layers.tex
index db8136e87de..fc242cc809b 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-layers.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-layers.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Layered Graphics}
@@ -132,6 +135,11 @@ the given layer.
This is the plain \TeX\ version of the environment.
\end{plainenvironment}
+\begin{contextenvironment}{{pgfonlayer}\marg{layer name}}
+ This is the Con\TeX t version of the environment.
+\end{contextenvironment}
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-nodes.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-nodes.tex
index c2231219113..891cfeef345 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-nodes.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-nodes.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Nodes and Shapes}
@@ -218,19 +221,19 @@ You create a node using on of the following commands:
When this command is called, for each node part of the node you must
have setup one \TeX-box. Suppose the shape has two parts: The |text|
- part and the |output| part. Then, prior to calling
+ part and the |lower| part. Then, prior to calling
|\pgfmultipartnode|, you must have setup the boxes
- |\pgfnodeparttextbox| and |\pgfnodepartoutputbox|. These boxes may
+ |\pgfnodeparttextbox| and |\pgfnodepartlowerbox|. These boxes may
contain any \TeX-text. The shape code will then compute the
positions of the shape's anchors based on the sizes of the these
shapes. Finally, when the node is drawn, the boxes are placed at the
- anchor positions |text| and |output|.
+ anchor positions |text| and |lower|.
\begin{codeexample}[]
\setbox\pgfnodeparttextbox=\hbox{$q_1$}
-\setbox\pgfnodepartoutputbox=\hbox{01}
+\setbox\pgfnodepartlowerbox=\hbox{01}
\begin{pgfpicture}
- \pgfmultipartnode{state with output}{center}{my state}{\pgfusepath{stroke}}
+ \pgfmultipartnode{circle split}{center}{my state}{\pgfusepath{stroke}}
\end{pgfpicture}
\end{codeexample}
@@ -245,12 +248,12 @@ You create a node using on of the following commands:
part name. Although you need a different box for each part of a
single shape, two different shapes may very well use the same box
even when the names of the parts are different. Suppose you have a
- |state with output| shape that has an |output| part and you have a
+ |circle split| shape that has an |lower| part and you have a
|uml class| shape that has a |methods| part. Then, in order to avoid
exhausting \TeX's limited number of box registers, you can say
\begin{codeexample}[code only]
-\newbox\pgfnodepartoutputbox
-\let\pgfnodepartmethodsbox=\pgfnodepartoutputbox
+\newbox\pgfnodepartlowerbox
+\let\pgfnodepartmethodsbox=\pgfnodepartlowerbox
\end{codeexample}
Also, when you have a node part name with spaces like |class name|,
it may be useful to create an alias:
@@ -342,6 +345,13 @@ node. These parameters can be changed using the following commands:
Works like |\pgfsetshapeouterysep|.
\end{command}
+\begin{command}{\pgfsetshapeaspect\marg{value}}
+ This command sets the macro \declare{|\pgfshapeaspect|} to
+ \meta{value}. Furthermore, \declare{|\pgfshapeaspectinverse|} is set
+ to the reciprocal of \meta{value}. The aspect is a recommendation
+ for the quotient of the width and the height of a shape.
+\end{command}
+
\subsection{Using Anchors}
@@ -355,6 +365,9 @@ One has to look up the set of anchors of each shape, there is no
should always be present. Also, most shapes will declare anchors like
|north| or |east|, but this is not guaranteed.
+
+\subsubsection{Referencing Anchors of Nodes in the Same Picture}
+
Once a node has been defined, you can refer to its anchors using the
following commands:
@@ -411,6 +424,20 @@ following commands:
\pgfusepath{fill}
\end{pgfpicture}
\end{codeexample}
+
+ A special situation arises when the \meta{node} lies in a picture
+ different from the current picture. In this case, if you have not
+ told \pgfname\ that the picture should be ``remembered,'' the
+ \meta{node} will be treated as if it lied in the current
+ picture. For example, if the \meta{node} was at position $(3,2)$ in
+ the original picture, it is treated as if it lied at position
+ $(3,2)$ in the current picture. However, if you have told \pgfname\
+ to remember the picture position of the node's picture and also of
+ the current picture,
+ then |\pgfpointanchor| will return a coordinate that corresponds to
+ the position of the node's anchor on the page, transformed into the
+ current coordinate system. For examples and more details see
+ Section~\ref{section-cross-pictures-pgf}.
\end{command}
\begin{command}{\pgfpointshapeborder\marg{node}\marg{point}}
@@ -436,6 +463,110 @@ following commands:
\end{command}
+\subsubsection{Referencing Anchors of Nodes in Different Pictures}
+\label{section-cross-pictures-pgf}
+
+As a picture is typeset, \pgfname\ keeps track of the positions of all
+nodes inside the picture. What \pgfname\ does not remember is the
+position of the picture \emph{itself} on the page. Thus, if you define
+a node in one picture and then try to reference this node while
+another picture is typeset, \pgfname\ will only know the position of
+the nodes that you try to typeset inside the original picture, but it
+will not know where this picture lies. What is missing is the relative
+positioning of the two pictures.
+
+To overcome this problem, you need to tell \pgfname\ that it should
+remember the position of pictures on a page. If these positions are
+remembered, then \pgfname\ can compute the offset between the pictures
+and make nodes in different pictures accessible.
+
+Determining the positions of pictures on the page is, alas,
+not-so-easy. Because of this, \pgfname\ does not do so
+automatically. Rather, you have to proceed as follows:
+\begin{enumerate}
+\item You have to use a backend driver that supports position
+ tracking. pdf\TeX\ is one such drivers, |dvips| currently is not.
+\item You have to say |\pgfrememberpicturepositiononpagetrue|
+ somewhere before or inside every picture
+ \begin{itemize}
+ \item in which you wish to reference a node and
+ \item from which you wish to reference a node in another picture.
+ \end{itemize}
+ The second item is important since \pgfname\ does not only need to
+ know the position of the picture in which the node you wish to
+ reference lies, but it also needs to know where the current picture
+ lies.
+\item You typically have to run \TeX\ twice (depending on the backend
+ driver) since the position information typically gets written into
+ an external file on the first run and is available only on the
+ second run.
+\item You have to switch off automatic bounding bound
+ computations. The reason is that the node in the other picture
+ should not influence the size of the bouding box of the current
+ picture. You should say |\pgfusepath{use as bounding box}| before
+ using a coordinate in another picture.
+\end{enumerate}
+
+
+
+\subsection{Predefined Nodes}
+
+There are several special nodes that are always defined and which you
+should not attempt to redefine.
+
+\begin{predefinednode}{current bounding box}
+ This node is of shape |rectangle|. Unlike normal nodes, its size
+ changes constantly and always reflects the size of the bounding box
+ of the current picture. This means that, for instance, that
+\begin{codeexample}[code only]
+\pgfpointanchor{current bounding box}{south east}
+\end{codeexample}
+ returns the lower left corner of the bounding box of the current
+ picture.
+\end{predefinednode}
+
+\begin{predefinednode}{current path bounding box}
+ This node is also of shape |rectangle|. Its size is the size of the
+ bounding box of the current path.
+\end{predefinednode}
+
+\begin{predefinednode}{current page}
+ This node is inside a virtual remembered picture. The size of this
+ node is the size of the current page. This means that if you create
+ a remembered picture and inside this picture you reference an anchor
+ of this node, you reference an absolute position on the page. To
+ demonstrate the effect, the following code puts some text in the
+ lower left corner of the current page. Note that this works only if
+ the backend driver supports it, otherwise the text is inserted right
+ here.%
+{%
+\pgfrememberpicturepositiononpagetrue%
+\begin{pgfpicture}
+ \pgfusepath{use as bounding box}
+ \pgftransformshift{\pgfpointanchor{current page}{south west}}
+ \pgftransformshift{\pgfpoint{1cm}{1cm}}
+ \pgftext[left,base]{
+ \textcolor{red}{
+ Text absolutely positioned in
+ the lower left corner.}
+ }
+\end{pgfpicture}
+}%
+\begin{codeexample}[code only]
+\pgfrememberpicturepositiononpagetrue
+\begin{pgfpicture}
+ \pgfusepath{use as bounding box}
+ \pgftransformshift{\pgfpointanchor{current page}{south west}}
+ \pgftransformshift{\pgfpoint{1cm}{1cm}}
+ \pgftext[left,base]{
+ \textcolor{red}{
+ Text absolutely positioned in
+ the lower left corner.}
+ }
+\end{pgfpicture}
+\end{codeexample}
+\end{predefinednode}
+
\subsection{Declaring New Shapes}
@@ -557,11 +688,10 @@ The following command declares a new shape:
By default, a shape has just one node part called |text|. However,
there can be several node parts. For example, the
- |state with output| shape has two parts: the |text| part, which
- shows that state's name, and an |output| part, which shows the
- output produced when the state is reached. For the
- |state with output| shape the |\nodeparts| command was called with
- the argument |{text,output}|.
+ |circle split| shape has two parts: the |text| part, which
+ shows that upper text, and a |lower| part, which shows the
+ lower text. For the |circle split| shape the |\nodeparts| command
+ was called with the argument |{text,lower}|.
When a multipart node is created, the text labels are drawn in the
sequences listed in the \meta{list of node parts}. For each node
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-paths.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-paths.tex
index 4117a63eff7..15ba36946b9 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-paths.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-paths.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Constructing Paths}
@@ -202,7 +205,7 @@ In the following, the commands for adding (parts of) (transformed)
circles to a path are described.
\begin{command}{\pgfpatharc\marg{start angle}\marg{end
- angle}\marg{radius}}
+ angle}{\ttfamily\char`\{}\meta{radius}\opt{|/|\meta{y-radius}}{\ttfamily\char`\}}}
This command appends a part of a circle (or an ellipse) to the current
path. Imaging the curve between \meta{start angle} and \meta{end
angle} on a circle of radius \meta{radius} (if $\meta{start angle}
@@ -228,11 +231,9 @@ circles to a path are described.
circle. The ``nearly'' refers to the fact that the circle will not
be closed. You can close it using |\pgfpathclose|.
- The \meta{radius} need not always be a single \TeX\
- dimension. Instead, it can also contain a slash, in which case it
- must consist of two dimensions separated by this slash. In this
- case the first dimension is the $x$-radius and the second the
- $y$-radius of the ellipse from which the curve is taken:
+ If the optional \meta{y-radius} is given, the \meta{radius} is the
+ $x$-radius and the \meta{y-radius} the $y$-radius of the ellipse
+ from which the curve is taken:
\begin{codeexample}[]
\begin{tikzpicture}
@@ -263,6 +264,30 @@ circles to a path are described.
are applied, the bounding box will be tight.
\end{command}
+\begin{command}{\pgfpatharcaxes\marg{start angle}\marg{end
+ angle}\marg{first axis}\marg{second axis}}
+ This command is similar to |\pgfpatharc|. The main difference is how
+ the ellipse or circle is specified from which the arc is taken. The
+ two parameters \meta{first axis} and \meta{second axis} are the
+ $0^\circ$-axis and the $90^\circ$-axis of the ellipse from which the
+ path is taken. Thus, |\pgfpatharc{0}{90}{1cm/2cm}| has the same effect
+ as
+\begin{verbatim}
+\pgfpatharcaxes{0}{90}{\pgfpoint{1cm}{0cm}}{\pgfpoint{0cm}{2cm}}
+\end{verbatim}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (2cm,5mm) (0,0) -- (0cm,1cm);
+
+ \pgfpathmoveto{\pgfpoint{2cm}{5mm}}
+ \pgfpatharcaxes{0}{90}{\pgfpoint{2cm}{5mm}}{\pgfpoint{0cm}{1cm}}
+ \pgfusepath{draw}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
\begin{command}{\pgfpathellipse\marg{center}\marg{first
axis}\marg{second axis}}
The effect of this command is to append an ellipse to the current
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-patterns.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-patterns.tex
new file mode 100644
index 00000000000..93d04c31039
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-patterns.tex
@@ -0,0 +1,188 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Patterns}
+
+\label{section-patterns}
+
+\begin{package}{pgfbasepattterns}
+ This package provides commands for declaring and using patterns. The
+ package is loaded automatically by
+ |pgf|, but you can load it manually if you have only included
+ |pgfcore|.
+\end{package}
+
+
+
+\subsection{Overview}
+
+There are many ways of filling a path. First, you can fill it using a
+solid color and this is also the fasted method. Second, you can also
+fill it using a shading, which means that the color changes smoothly
+between two (or more) different colors. Third, you can fill it using a
+tiling pattern and it is explained in the following how this is done.
+
+A tiling pattern can be imagined as a rectangular tile (hence the
+name) on which a small picture is painted. There is not a single tile,
+but (conceptually) an infinite number of tiles, all showing the same
+picture, and these tiles are arranged horizontally and vertically to
+fill the plane. When you use a tiling pattern to fill a path, what
+happens is that the path clips out a ``window'' through which we see
+part of this infinite plane.
+
+Patterns come in two versions: \emph{inherently colored patterns} and
+\emph{form-only patterns}. (These are often called ``color patterns''
+and ``uncolored patterns,'' but these names are misleading since
+uncolored patterns do have a color and the color changes. As I said,
+the name is misleading\dots) An inherently colored pattern is just a
+colored tile like, say, a red star with a black outline. A form-only
+pattern can be imagined as a tile that is a kind of rubber stamp. When
+this pattern is used, the stamp is used to print copies of the stamp
+picture onto the plane, but we can use a different stamp color each
+time we use a form-only pattern.
+
+\pgfname\ provides a special support for patterns. You can declare a
+pattern and then use it very much like a fill color. \pgfname\
+directly maps patterns to the pattern facilities of the underlying
+graphic languages (PostScript, \textsc{pdf}, and \textsc{svg}). This
+means that filling a path using a pattern will be nearly as fast as if
+you used a uniform color.
+
+There are a number of pitfalls and restrictions when using
+patterns. First, once a pattern has been declared, you cannot change
+it anymore. In particular, it is not possible to enlarge it or change
+the line width. Such flexibility would require that the repeating of
+the pattern were not done by the graphic language, but on the
+\pgfname\ level. This would make patterns orders of magnitude slower
+to produce and to render.
+
+Second, the phase of patterns is not well-defined, that is, it is not
+clear where origin of the ``first'' tile is. To be more precise,
+PostScript and \textsc{pdf} on the one hand and \textsc{svg} on the
+other hand define the origin differently. PostScript and \textsc{pdf}
+define a fixed origin that is independent of where the path lies. This
+has the highly desirable effect that if you use the same pattern to
+fill multiple paths, this has the same effect as if you used the
+pattern to will a single path that is the union of all the paths. By
+comparison, \textsc{svg} uses the upper-left (?) corner of the path to
+be filled as the origin. However, the \textsc{svg} specification is a
+bit vague on this question.
+
+
+\subsection{Declaring a Pattern}
+
+Before a pattern can be used, it must be declared. The following
+command is used for this:
+
+\begin{command}{\pgfdeclarepatternformonly%
+ \marg{name}%
+ \marg{lower left}%
+ \marg{upper right}%
+ \marg{tile size}%
+ \marg{code}}
+ This command declares a new form-only pattern. The \marg{name} is a
+ name for later reference. The two parameters \marg{lower left} and
+ \marg{upper right} must describe a bounding box that is large enough
+ to encompass the complete tile.
+
+ The size of a tile is given by \meta{tile size}, that is, a tile is
+ a rectangle whose lower left corner is the origin and whose upper
+ right corner is given by \meta{tile size}. This might make you
+ wonder why the second and third parameters are needed. First, the
+ bounding box might be smaller than the tile size if the tile is
+ larger than the picture on the tile. Second, the bounding box might
+ be bigger, in which case the picture will ``bleed'' over the tile.
+
+ The \meta{code} should be \pgfname\ code than can be protocolled. It
+ should not contain any color code.
+
+
+\begin{codeexample}[]
+\pgfdeclarepatternformonly{stars}
+{\pgfpointorigin}{\pgfpoint{1cm}{1cm}}
+{\pgfpoint{1cm}{1cm}}
+{
+ \pgftransformshift{\pgfpoint{.5cm}{.5cm}}
+ \pgfpathmoveto{\pgfpointpolar{0}{4mm}}
+ \pgfpathlineto{\pgfpointpolar{144}{4mm}}
+ \pgfpathlineto{\pgfpointpolar{288}{4mm}}
+ \pgfpathlineto{\pgfpointpolar{72}{4mm}}
+ \pgfpathlineto{\pgfpointpolar{216}{4mm}}
+ \pgfpathclose%
+ \pgfusepath{fill}
+}
+\begin{tikzpicture}
+ \filldraw[pattern=stars] (0,0) rectangle (1.5,2);
+ \filldraw[pattern=stars,pattern color=red]
+ (1.5,0) rectangle (3,2);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfdeclarepatterninherentlycolored
+ \marg{name}
+ \marg{lower left}
+ \marg{upper right}
+ \marg{tile size}
+ \marg{code}}
+ This command works like |\pgfdeclarepatternuncolored|, only the
+ pattern will have an inherent color. To set the color, you should
+ use \pgfname's color commands, not the |\color| command, since this
+ fill not be protocolled.
+
+\begin{codeexample}[]
+\pgfdeclarepatterninherentlycolored{green stars}
+{\pgfpointorigin}{\pgfpoint{1cm}{1cm}}
+{\pgfpoint{1cm}{1cm}}
+{
+ \pgfsetfillcolor{green!50!black}
+ \pgftransformshift{\pgfpoint{.5cm}{.5cm}}
+ \pgfpathmoveto{\pgfpointpolar{0}{4mm}}
+ \pgfpathlineto{\pgfpointpolar{144}{4mm}}
+ \pgfpathlineto{\pgfpointpolar{288}{4mm}}
+ \pgfpathlineto{\pgfpointpolar{72}{4mm}}
+ \pgfpathlineto{\pgfpointpolar{216}{4mm}}
+ \pgfpathclose%
+ \pgfusepath{stroke,fill}
+}
+\begin{tikzpicture}
+ \filldraw[pattern=green stars] (0,0) rectangle (3,2);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\subsection{Setting a Pattern}
+
+Once a pattern has been declared, it can be used.
+
+\begin{command}{\pgfsetfillpattern\marg{name}\marg{color}}
+ This command specifies that paths that are filled should be filled
+ with the ``color'' by the pattern \meta{name}. For an inherently
+ colored pattern, the \meta{color} parameter is ignored. For
+ form-only patterns, the \meta{color} parameter specified the color
+ to be used for the pattern.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \pgfsetfillpattern{stars}{red}
+ \filldraw (0,0) rectangle (1.5,2);
+
+ \pgfsetfillpattern{green stars}{red}
+ \filldraw (1.5,0) rectangle (3,2);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-plots.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-plots.tex
index 5c5a1738bc8..95b59642c19 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-plots.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-plots.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Creating Plots}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-points.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-points.tex
index 9c1a821e26c..c8a38014dba 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-points.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-points.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Specifying Coordinates}
@@ -18,6 +21,7 @@ never refer to an absolute position on the page, but to a position
inside the current |{pgfpicture}| environment. To specify a coordinate
you can use commands that start with |\pgfpoint|.
+
\subsection{Basic Coordinate Commands}
The following commands are the most basic for specifying a
@@ -42,9 +46,13 @@ coordinate.
Yields the origin. Same as |\pgfpoint{0pt}{0pt}|.
\end{command}
-\begin{command}{\pgfpointpolar\marg{degree}\marg{radius}}
+\begin{command}{\pgfpointpolar\marg{degree}{\ttfamily\char`\{}\meta{radius}\opt{|/|\meta{y-radius}}{\ttfamily\char`\}}}
Yields a point location given in polar coordinates. You can specify
the angle only in degrees, radians are not supported, currently.
+
+ If the optional \meta{y-radius} is given, the polar coordinate is
+ actually a coordinate on an ellipse whose $x$-radius is given by
+ \meta{radius} and whose $y$-radius is given by \meta{y-radius}.
\begin{codeexample}[]
\begin{tikzpicture}
\draw[help lines] (0,0) grid (3,2);
@@ -52,13 +60,22 @@ coordinate.
\foreach \angle in {0,10,...,90}
{\pgfpathcircle{\pgfpointpolar{\angle}{1cm}}{2pt}}
\pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+
+ \foreach \angle in {0,10,...,90}
+ {\pgfpathcircle{\pgfpointpolar{\angle}{1cm/2cm}}{2pt}}
+ \pgfusepath{fill}
\end{tikzpicture}
\end{codeexample}
\end{command}
-\subsection{Coordinates in the Xy- and Xyz-Coordinate Systems}
+\subsection{Coordinates in the XY-Coordinate System}
Coordinates can also be specified as multiples of an $x$-vector and a
$y$-vector. Normally, the $x$-vector points one centimeter in the
@@ -68,10 +85,6 @@ $y$-direction, but using the commands |\pgfsetxvec| and
$y$-vector do not necessarily point ``horizontally'' and
``vertically.''
-It is also possible to specify a point as a multiple of three vectors,
-the $x$-, $y$-, and $z$-vector. This is useful for creating simple
-three dimensional graphics.
-
\begin{command}{\pgfpointxy\marg{$s_x$}\marg{$s_y$}}
Yields a point that is situated at $s_x$ times the
$x$-vector plus $s_y$ times the $y$-vector.
@@ -85,27 +98,6 @@ three dimensional graphics.
\end{codeexample}
\end{command}
-\begin{command}{\pgfpointxyz\marg{$s_x$}\marg{$s_y$}\marg{$s_z$}}
- Yields a point that is situated at $s_x$ times the
- $x$-vector plus $s_y$ times the $y$-vector plus $s_z$ times the
- $z$-vector.
-\begin{codeexample}[]
-\begin{pgfpicture}
- \pgfsetarrowsend{to}
-
- \pgfpathmoveto{\pgfpointorigin}
- \pgfpathlineto{\pgfpointxyz{0}{0}{1}}
- \pgfusepath{stroke}
- \pgfpathmoveto{\pgfpointorigin}
- \pgfpathlineto{\pgfpointxyz{0}{1}{0}}
- \pgfusepath{stroke}
- \pgfpathmoveto{\pgfpointorigin}
- \pgfpathlineto{\pgfpointxyz{1}{0}{0}}
- \pgfusepath{stroke}
-\end{pgfpicture}
-\end{codeexample}
-\end{command}
-
\begin{command}{\pgfsetxvec\marg{point}}
Sets that current $x$-vector for usage in the $xyz$-coordinate
@@ -132,10 +124,108 @@ three dimensional graphics.
Works like |\pgfsetyvec|.
\end{command}
+
+
+\begin{command}{\pgfpointpolarxy\marg{degree}{\ttfamily\char`\{}\meta{radius}\opt{|/|\meta{y-radius}}{\ttfamily\char`\}}}
+ This command is similar to the |\pgfpointpolar| command, but the
+ \meta{radius} is now a factor to be interpreted in the
+ $xy$-coordinate system. This means that a degree of |0| is the same
+ as the $x$-vector of the $xy$-coordinate system times \meta{radius}
+ and a degree of |90| is the $y$-vecotr times \meta{radius}. As for
+ |\pgfpointpolar|, a \meta{radius} can also be a pair separated by a
+ slash. In this case, the $x$- and $y$-vectors are multiplied by
+ different factors.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+
+ \begin{scope}[x={(1cm,-5mm)},y=1.5cm]
+ \foreach \angle in {0,10,...,90}
+ {\pgfpathcircle{\pgfpointpolarxy{\angle}{1}}{2pt}}
+ \pgfusepath{fill}
+ \end{scope}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+
+\subsection{Three Dimensional Coordinates}
+
+It is also possible to specify a point as a multiple of three vectors,
+the $x$-, $y$-, and $z$-vector. This is useful for creating simple
+three dimensional graphics.
+
+\begin{command}{\pgfpointxyz\marg{$s_x$}\marg{$s_y$}\marg{$s_z$}}
+ Yields a point that is situated at $s_x$ times the
+ $x$-vector plus $s_y$ times the $y$-vector plus $s_z$ times the
+ $z$-vector.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfsetarrowsend{to}
+
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpointxyz{0}{0}{1}}
+ \pgfusepath{stroke}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpointxyz{0}{1}{0}}
+ \pgfusepath{stroke}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpointxyz{1}{0}{0}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
\begin{command}{\pgfsetzvec\marg{point}}
Works like |\pgfsetzvec|.
\end{command}
+Inside the $xyz$-coordinate system, you can also specify points
+using spherical and cylindrical coordinates.
+
+
+\begin{command}{\pgfpointcylindrical\marg{degree}\marg{radius}\marg{height}}
+ This command yields the same as
+\begin{verbatim}
+\pgfpointadd{\pgfpointpolarxy{degree}{radius}}{\pgfpointxyz{0}{0}{height}}
+\end{verbatim}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw [->] (0,0) -- (1,0,0) node [right] {$x$};
+ \draw [->] (0,0) -- (0,1,0) node [above] {$y$};
+ \draw [->] (0,0) -- (0,0,1) node [below left] {$z$};
+
+ \pgfpathcircle{\pgfpointcylindrical{80}{1}{.5}}{2pt}
+ \pgfusepath{fill}
+
+ \draw[red] (0,0) -- (0,0,.5) -- +(80:1);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfpointspherical\marg{longitude}\marg{latitude}\marg{radius}}
+ This command yields a point ``on the surface of the earth''
+ specified by the \meta{longitude} and the \marg{latitude}. The
+ radius of the earth is given by \meta{radius}. The equator lies in
+ the $xy$-plane.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw [->] (0,0) -- (1,0,0) node [right] {$x$};
+ \draw [->] (0,0) -- (0,1,0) node [above] {$y$};
+ \draw [->] (0,0) -- (0,0,1) node [below left] {$z$};
+
+ \foreach \angle in {0,10,...,90}
+ {\pgfpathcircle{\pgfpointspherical{\angle}{0}{1}}{2pt}}
+ \pgfusepath{fill}
+
+ \pgfsetcolor{red}
+ \foreach \angle in {0,10,...,90}
+ {\pgfpathcircle{\pgfpointspherical{80}{\angle}{1}}{2pt}}
+ \pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-quick.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-quick.tex
index 8f773b5df24..fbc3bdae870 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-quick.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-quick.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Quick Commands}
@@ -14,6 +17,13 @@ only if you either have a very large number of commands that need to
be processed or if you expect your commands to be executed very often.
+\subsection{Quick Coordiante Commands}
+
+\begin{command}{\pgfqpoint\marg{x}\marg{y}}
+ This command does the same as |\pgfpoint|, but \meta{x} and \meta{y}
+ must be simple dimensions like |1pt| or |1cm|. Things like |2ex| or
+ |2cm+1pt| are not allowed.
+\end{command}
\subsection{Quick Path Construction Commands}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-scopes.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-scopes.tex
index c527b42415e..d6841908568 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-scopes.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-scopes.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section[Hierarchical Structures: Package, Environments, Scopes, and Text]
@@ -244,6 +247,29 @@ core):
+\subsubsection{The Library Packages}
+
+There is a special command for loading library packages.
+
+\begin{command}{\usepgflibrary\marg{list of libraries}}
+ Use this command to load further libraries. The list of libraries
+ should contain the names of libraries separated by commas. Instead
+ of curly braces, you can also use square brackets. If you try to
+ load a library a second time, nothing will happen.
+
+ \example |\usepgflibrary{arrows}|
+
+ This command causes the the file
+ |pgflibrary|\meta{library}|.code.tex| to be loaded for each \meta{library} in
+ the \meta{list of libraries}. This means that in order to write your
+ own library file, place a file of the appropriate name somewhere
+ where \TeX\ can find it. \LaTeX, plain \TeX, and Con\TeX t
+ users can then use your library.
+
+ You should also consider adding a \tikzname\ library that simply
+ includes your \pgfname\ library.
+\end{command}
+
\subsection{The Hierarchical Structure of the Graphics}
@@ -335,6 +361,33 @@ Rectangles \begin{pgfpicture}
cases, you need to place the text inside a |\pgftext| command. This
will ``escape back'' to normal \TeX\ mode, see
Section~\ref{section-text-command} for details.
+
+ \medskip
+ \textbf{Remembering a picture position for later reference.}
+ After a picture has been typset, its position on the page is
+ normally forgotten by \pgfname\ and also by \TeX. This means that is
+ not possible to reference a node in this picture later on. In
+ particular, it is normally impossible to draw lines between nodes in
+ different pictures automatically.
+
+ In order to make \pgfname\ ``remember'' a picture, the \TeX-\if
+ |\||ifpgfrememberpicturepositiononpage| should be set to |true|. It
+ is only important that this \TeX-if is |true| at the end of the
+ |{pgfpicture}|-environment, so you can switch it on inside the
+ environment. However, you can also just switch it on globally, then
+ the positions of all pictures are remembered.
+
+ There are several reasons why the remembering is not switched on by
+ default. First, it does not work for all backend drivers (currently, it
+ works only for pdf\TeX). Second, it requires two passes of \TeX\
+ over the file; on the first pass all positions will be wrong. Third,
+ for every remembered picture a line is added to the |.aux|-file,
+ which may result in a large number of extra lines.
+
+ Despite all these ``problems,'' for documents that are processed
+ with pdf\TeX\ and in which there is only a small number of pictures
+ (less than a hundred or so), you can switch on this option globally,
+ it will not cause any significant slowing of \TeX.
\end{environment}
\begin{plainenvironment}{{pgfpicture}}
@@ -342,6 +395,28 @@ Rectangles \begin{pgfpicture}
version, also, a \TeX\ group is created around the environment.
\end{plainenvironment}
+\begin{contextenvironment}{{pgfpicture}}
+ This is the Con\TeX t version of the environment.
+\end{contextenvironment}
+
+
+{\let\ifpgfrememberpicturepositiononpage=\relax
+\begin{command}{\ifpgfrememberpicturepositiononpage}
+ Determines whether the position of pictures on the page should be
+ recorded. The value of this \TeX-if at the end of a |{pgfpicture}|
+ environment is important, not the value at the beginning.
+
+ If this option is set to true of a picture, \pgfname\ will attempt
+ to record the position of the picture on the page. (This attempt
+ will fail with most drivers and when it works it typically requires
+ two runs of \TeX.) The position is not directly accessible. Rather,
+ the nodes mechanism will use this position if you access a node from
+ another picture. See Sections~\ref{section-cross-pictures-pgf}
+ and~\ref{section-cross-picture-tikz} for more details.
+\end{command}
+}
+
+
\makeatletter
\begin{command}{\pgfsetbaseline\marg{dimension}}
This command specifies a $y$-coordinate of the picture that should
@@ -362,6 +437,29 @@ Text \tikz{\pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}},
\end{codeexample}
\end{command}
+\begin{command}{\pgfsetbaselinepointnow\marg{point}}
+ This command specifies the baseline indirectly, namely as the
+ $y$-coordinate that the given \meta{point} has when the command is
+ called.
+\end{command}
+
+\begin{command}{\pgfsetbaselinepointlater\marg{point}}
+ This command also specifies the baseline indirectly, but the
+ $y$-coordinate of the given \meta{point} is only computed at the end
+ of the picture.
+
+\begin{codeexample}[]
+Hello
+\tikz{
+ \pgfsetbaselinepointlater{\pgfpointanchor{X}{base}}
+ % Note: no shape X, yet
+ \node [cross out,draw] (X) {world.};
+}
+\end{codeexample}
+\end{command}
+
+
+
\subsubsection{Graphic Scope Environments}
Inside a |{pgfpicture}| environment you can substructure your picture
@@ -437,6 +535,10 @@ using the following environment:
Plain \TeX\ version of the |{pgfscope}| environment.
\end{plainenvironment}
+\begin{contextenvironment}{{pgfscope}}
+ This is the Con\TeX t version of the environment.
+\end{contextenvironment}
+
The following scopes also encapsulate certain properties of the
graphic state. However, they are typically not used directly by the
@@ -463,6 +565,15 @@ user.
indeed, be dangerous in the middle of a path construction.
\end{environment}
+\begin{plainenvironment}{{pgfinterruptpath}}
+ Plain \TeX\ version of the environment.
+\end{plainenvironment}
+
+\begin{contextenvironment}{{pgfinterruptpath}}
+ Con\TeX t version of the environment.
+\end{contextenvironment}
+
+
\begin{environment}{{pgfinterruptpicture}}
This environment can be used to temporarily interrupt a
|{pgfpicture}|. However, the environment is intended only to be used
@@ -490,6 +601,14 @@ user.
\end{codeexample}
\end{environment}
+\begin{plainenvironment}{{pgfinterruptpicture}}
+ Plain \TeX\ version of the environment.
+\end{plainenvironment}
+
+\begin{contextenvironment}{{pgfinterruptpicture}}
+ Con\TeX t version of the environment.
+\end{contextenvironment}
+
\subsubsection{Inserting Text and Images}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-shadings.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-shadings.tex
index 873d9a823ff..74b555a40e9 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-shadings.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-shadings.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Declaring and Using Shadings}
@@ -181,8 +184,10 @@ in increasing order.
The center of the shading is translated (moved) such that it lies on
the center of the bounding box of the path. The low-level coordinate
system is also scaled such that the shading ``covers'' the shading (the
- details are a bit more complex, see below). Finally, the coordinate
- system is rotated by \meta{angle}.
+ details are a bit more complex, see below). Then, the coordinate
+ system is rotated by \meta{angle}. Finally, if the macro
+ |\pgfsetadditionalshadetransform| has been used, an additional
+ transformation is applied.
After everything has been set up, the shading is inserted. Due to
the transformations and clippings, the effect will be that the
@@ -320,6 +325,13 @@ in increasing order.
applications.
\end{command}
+\begin{command}{\pgfsetadditionalshadetransform\marg{transformation}}
+ This command allows you to specify an additional transformation
+ that should be applied to shadings when the |\pgfshadepath|
+ command is used. The \meta{transformation} should be
+ transformation code like |\pgftransformrotate{20}|.
+\end{command}
+
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "pgfmanual"
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-snakes.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-snakes.tex
index 6c23140fbe7..64f70f8a687 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-snakes.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-snakes.tex
@@ -1,8 +1,12 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\section{Snakes}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-transformations.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-transformations.tex
index 991c7edfc45..738158f2348 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-transformations.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-transformations.tex
@@ -1,9 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Coordinate and Canvas Transformations}
@@ -198,6 +200,26 @@ coordinate transformations.
\end{command}
+
+\begin{command}{\pgftransformtriangle\marg{a}\marg{b}\marg{c}}
+ This command transforms the coordinate system in such a way that the
+ triangle given by the points \meta{a}, \meta{b} and \meta{c} lies at
+ the coordinates $(0,0)$, $(1\mathrm{pt},0\mathrm{pt})$ and
+ $(0\mathrm{pt},1\mathrm{pt})$.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgftransformtriangle
+ {\pgfpoint{1cm}{0cm}}
+ {\pgfpoint{0cm}{2cm}}
+ {\pgfpoint{3cm}{1cm}}
+
+ \draw (0,0) -- (1pt,0pt) -- (0pt,1pt) -- cycle;
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
\begin{command}{\pgftransformcm\marg{a}\marg{b}\marg{c}\marg{d}\marg{point}}
Applies the transformation matrix given by $a$, $b$, $c$, and $d$
and the shift \meta{point} to coordinates (in addition to any
@@ -253,6 +275,10 @@ coordinate transformations.
\pgftext{Hi!}
\end{tikzpicture}
\end{codeexample}
+ If |\ifpgfslopedattime| is true, another \TeX\ |\if| is important:
+ |\ifpgfallowupsidedowattime|. If this is false, \pgfname\ will
+ ensure that the rotation is done in such a way that text is never
+ ``upside down.''
There is another \TeX\ if that influences this command. If you set
|\ifpgfresetnontranslationattime| to true, then, between
@@ -290,7 +316,8 @@ coordinate transformations.
time, see Section~\ref{section-pointsattime} once more.
As for the line-at-time transformation command, |\ifpgfslopedattime|
- decides whether an additional rotation should be applied.
+ decides whether an additional rotation should be applied. Again, the
+ value of |\ifpgfallowupsidedowattime| is also considered.
\begin{codeexample}[]
\begin{tikzpicture}
\draw[help lines] (0,0) grid (3,2);
@@ -322,6 +349,14 @@ coordinate transformations.
\end{textoken}
}
{
+ \let\ifpgfallowupsidedowattime=\relax
+ \begin{textoken}{\ifpgfallowupsidedowattime}
+ Decides whether the ``at time'' transformation commands should
+ allow the rotation be down in such a way that ``upside-down text''
+ can result.
+ \end{textoken}
+}
+{
\let\ifpgfresetnontranslationsattime=\relax
\begin{textoken}{\ifpgfresetnontranslationsattime}
Decides whether the ``at time'' transformation commands should
@@ -529,6 +564,15 @@ a coordinate transformation, see the previous section).
\end{environment}
+\begin{plainenvironment}{{pgflowlevelscope}\marg{transformation code}}
+ Plain \TeX\ version of the environment.
+\end{plainenvironment}
+
+\begin{contextenvironment}{{pgflowlevelscope}\marg{transformation code}}
+ Con\TeX t version of the environment.
+\end{contextenvironment}
+
+
%%% Local Variables:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-drivers.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-drivers.tex
index e4d12ab2392..15201b087aa 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-drivers.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-drivers.tex
@@ -1,8 +1,11 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Input and Output Formats}
@@ -65,8 +68,8 @@ The files in the |generic/pgf| directory do the actual work.
\subsubsection{Using the Plain \TeX\ Format}
When using the plain \TeX\ format, you say |\input{pgf.tex}| or
-|\input{tikz.tex}|. Instead of |\begin{pgfpicture}| and
- |\end{pgfpicture}| you use |\pgfpicture| and |\endpicture|.
+|\input{tikz.tex}|. Then, instead of |\begin{pgfpicture}| and
+ |\end{pgfpicture}| you use |\pgfpicture| and |\endpgfpicture|.
Unlike for the \LaTeX\ format, \pgfname\ is not as good at discerning
the appropriate configuration for the plain \TeX\ format. In
@@ -86,10 +89,27 @@ also just include the correct |tikz.code.tex| file.
\subsubsection{Using the Con\TeX t Format}
-Currently, there is no special support for the Con\TeX t
-format. Rather, you have to use \pgfname\ and \tikzname\ as if you
-were using the plain \TeX\ format when using Con\TeX t. This may
-change in the future.
+When using the Con\TeX t format, you say |\usemodule[pgf]| or
+|\usemodule[tikz]|. As for the plain \TeX\ format you also have
+to replace the start- and end-of-environment tags as follows: Instead
+of |\begin{pgfpicture}| and |\end{pgfpicture}| you use
+|\startpgfpicture| and |\stoppgfpicture|; similarly, instead of
+|\begin{tikzpicture}| and |\end{tikzpicture}| you use must now use
+|\starttikzpicture| and |\stoptikzpicture|; and so on for other
+environments.
+
+The Con\TeX t support is very similar to the plain \TeX\ support, so
+the same restrictions apply: You may have to set the output
+format directly and graphics inclusion may be a problem.
+
+In addition to |pgf| and |tikz| there also exist modules like
+|pgfcore|, |pgfbaseimage|, |pgflibrarysnakes| and so on. To
+use them, you may need to include the module |pgfmod| first (the
+modules |pgf| and |tikz| both include |pgfmod| for you, so typically
+you can skip this). This special module is necessary since Con\TeX t
+satanically restricts the length of module names to 6 characters
+and \pgfname's long names are mapped
+to cryptic 6-letter-names for you by the module |pgfmod|.
@@ -130,7 +150,7 @@ the intermediate |.dvi|-stage. However, from the programmer's point of
view they behave exactly as if there where an intermediate stage.
Normally, \TeX\ only produces letter--coordinate pairs as its
-``output.'' This obviously makes is difficult tho draw, say, a
+``output.'' This obviously makes is difficult to draw, say, a
curve. For this, ``special'' commands can be used. Unfortunately,
these special commands are not the same for the different programs
that process the |.dvi|-file. Indeed, every program that takes a
@@ -195,12 +215,15 @@ exactly the same.
inclusion and does not support masking.
\item
In plain \TeX\ mode it does not support image inclusion.
+ \item
+ Remembering of pictures (inter-picture connections) is not
+ supported.
\end{enumerate}
\end{filedescription}
\begin{filedescription}{pgfsys-vtex.def}
This is the driver file for use with the commercial \textsc{vtex}
- program. Even though is will produce \textsc{pdf} output, it
+ program. Even though it produces \textsc{pdf} output, it
includes |pgfsys-common-postscript.def|. Note that the
\textsc{vtex} program can produce \emph{both} Postscript and
\textsc{pdf} output, depending on the command line
@@ -220,7 +243,10 @@ exactly the same.
Shading is fully implemented, but yields the same quality as the
implementation for |dvips|.
\item
- Opacity is not implemented at all.
+ Opacity is not supported.
+ \item
+ Remembering of pictures (inter-picture connections) is not
+ supported.
\end{enumerate}
\end{filedescription}
@@ -249,6 +275,9 @@ conversion program like |ps2pdf| or the Acrobat Distiller.
\item
Opacity works only in conjunction with newer versions of
GhostScript.
+ \item
+ Remembering of pictures (inter-picture connections) is not
+ supported.
\end{enumerate}
\end{filedescription}
@@ -286,6 +315,9 @@ graphic in your text.
\item
In plain \TeX\ mode it does not support image inclusion.
\item
+ Remembering of pictures (inter-picture connections) is not
+ supported.
+ \item
Text inside |pgfpicture|s is not supported very well. The reason
is that the \textsc{svg} specification currently does not support
text very well and it is also not possible to correctly ``escape
@@ -311,7 +343,7 @@ graphic in your text.
output of |tex4ht| to a new file called |\jobname-xxx.svg|, where
|xxx| is a number that is increased for each graphic. Then, till the
end of the picture, each (system layer) graphic command creates a
- specials that insert appropriate \textsc{svg} literal text into the
+ special that inserts appropriate \textsc{svg} literal text into the
output file. The exact details are a bit complicated since the
imaging model and the processing model of PostScript/\pdf\ and
\textsc{svg} are not quite the same; but they are ``close enough''
@@ -319,3 +351,32 @@ graphic in your text.
\end{filedescription}
+\subsubsection{Producing Perfectly Portable DVI Output}
+
+\begin{filedescription}{pgfsys-dvi.def}
+ This is a driver file that can be used with any output driver,
+ except for |tex4ht|.
+
+ The driver will produce perfectly portable |.dvi| files by composing
+ all pictures entirely of black rectangles, the basic and only graphic
+ shape supported by the \TeX\ core. Even straight, but slanted lines
+ are tricky to get right in this model (they need to be composed of
+ lots of little squares).
+
+ Naturally, \emph{very little} is possible with this driver. In fact,
+ so little is possible that it is easier to list what is possible:
+ \begin{itemize}
+ \item Text boxes can be placed in the normal way.
+ \item Lines and curves can be drawn (stroked). If they are not
+ horizontal or vertical, they are composed of hundred of small
+ rectangles.
+ \item Lines of different width are supported.
+ \item Transformations are supported.
+ \end{itemize}
+ Note that, say, even filling is not supported! (Let alone color or
+ anything fancy.)
+
+ This driver has only one real applications: It might be useful when
+ you only need horizontal or vertical lines in a picture. Then, the
+ results are quite satisfactory.
+\end{filedescription}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-guidelines.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-guidelines.tex
index 667603494c6..1b032e95779 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-guidelines.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-guidelines.tex
@@ -1,10 +1,11 @@
-% $Header: /cvsroot/pgf/pgf/doc/generic/pgf/text-en/pgfmanual-en-guidelines.tex,v 1.1 2005/11/14 17:37:50 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Guidelines on Graphics}
@@ -23,11 +24,6 @@ by Edward Tufte. While I do not agree with everything written in these
books, many of Tufte's arguments are so convincing that I decided to
repeat them in the following guidelines.
-
-
-
-\subsection{Should You Follow Guidelines?}
-
The first thing you should ask yourself when someone presents a bunch of
guidelines is: Should I really follow these guidelines? This is an
important questions, because there are good reasons not to follow
@@ -53,22 +49,6 @@ general guidelines.
When you are aware of a rule and when you decide that breaking the
rule has a desirable effect, break the rule.
-\item
- Some guidelines are simply \emph{wrong}, but everyone follows them
- out of tradition or is forced to do so. My favorite example is a
- guideline a software company I used to work for has set in a big
- project: All programmers had to declare the parameters of functions
- in \emph{increasing order of size}. So, one-byte
- parameters should come first, then two-byte parameters, and so on.
-
- This guideline is total nonsense. An (arguably) sensible guideline
- is ``parameters must be declared alphabetically'' so that parameters
- are easier to find. Another (arguably) sensible guideline is
- ``parameters must be declared in decreasing order of size'' so that
- less byte-alignment cache misses occur when the stack is
- accessed. The guideline the company used maximized cache misses and
- resulted in a more or less random ordering so that programmers
- constantly had to look up the parameter ordering.
\end{itemize}
So, before you apply a guideline or choose not to apply it, ask
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-installation.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-installation.tex
index dee300f358f..f54eb47ea26 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-installation.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-installation.tex
@@ -1,16 +1,18 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Installation}
There are different ways of installing \pgfname, depending
on your system and needs, and you may need to install other
packages as well as, see below. Before installing, you may wish to
-review the \textsc{gpl} license under which the package is
+review the licenses under which the package is
distributed, see Section~\ref{section-license}.
Typically, the package will already be installed on your
@@ -58,7 +60,8 @@ Currently, \pgfname\ supports the following formats:
|plain| with complete functionality, except for graphics inclusion,
which works only for pdf\TeX.
\item
- |context| should work as |plain|, but I have not tried it.
+ |context| with complete functionality, except for graphics inclusion,
+ which works only for pdf\TeX.
\end{itemize}
For more details, see Section~\ref{section-formats}.
@@ -180,5 +183,3 @@ changes in the syntax of certain command from version to version. If
things no longer work that used to work, you may wish to have a look
at the release notes and at the change log.
-
-\input{pgfmanual-en-license}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-introduction.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-introduction.tex
index fd67dafc38c..826648cb9ec 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-introduction.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-introduction.tex
@@ -1,9 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Introduction}
@@ -11,15 +13,15 @@
The \pgfname\ package, where ``\pgfname'' is supposed to mean ``portable
graphics format'' (or ``pretty, good, functional'' if you
prefer\dots), is a package for creating graphics in an ``inline''
-manner. The package defines a number of \TeX\ commands that draw
+manner. It defines a number of \TeX\ commands that draw
graphics. For example, the code |\tikz \draw (0pt,0pt) -- (20pt,6pt);|
yields the line \tikz \draw (0pt,0pt) -- (20pt,6pt); and the code
|\tikz \fill[orange] (1ex,1ex) circle (1ex);| yields \tikz
\fill[orange] (1ex,1ex) circle (1ex);.
-In a sense, when using \pgfname\ you ``program'' your graphics, just as you
-``program'' your document when using \TeX. This means that you get
-the advantages of the ``\TeX-approach to typesetting'' also for your
+In a sense, when you use \pgfname\ you ``program'' your graphics, just
+as you ``program'' your document when you use \TeX. You get all
+the advantages of the ``\TeX-approach to typesetting'' for your
graphics: quick creation of simple graphics, precise positioning, the
use of macros, often superior typography. You also inherit all the
disadvantages: steep learning curve, no \textsc{wysiwyg}, small
@@ -47,21 +49,14 @@ The \pgfname\ system consists of different layers:
|{pgfpicture}|. Depending on whether |dvips|,
|dvipdfm|, or |pdftex| is used to process the document, the system
command will be converted to different |\special| commands.
-
The system layer is as ``minimalistic'' as possible since each
additional command makes it more work to port \pgfname\ to a new
- driver. Currently, only drivers that produce PostScript or
- \textsc{pdf} output are supported and only few of these (hence the
- name \emph{portable} graphics format is currently a bit
- boastful). However, in principle, the system layer could be ported
- to many different drivers quite easily. It should even be possible
- to produce, say, \textsc{svg} output in conjunction with
- \textsc{tex4ht}.
+ driver.
As a user, you will not use the system layer directly.
\item[Basic layer:]
The basic layer provides a set of basic commands that allow
- you to produce complex graphics in a much easier way than by using
+ you to produce complex graphics in a much easier manner than by using
the system layer directly. For example, the system layer provides
no commands for creating circles since circles can be composed from
the more basic Bézier curves (well, almost). However, as a user you
@@ -130,26 +125,60 @@ layer, and finally the system layer.
\subsection{Comparison with Other Graphics Packages}
-There were two main motivations for creating \pgfname:
+\pgfname\ is not the only graphics package for \TeX. In the following,
+I try to give a reasonably fair comparison of the \pgfname-system and
+other packages.
\begin{enumerate}
\item
- The standard \LaTeX\ |{picture}| environment is not powerful enough to
- create anything but really simple graphics. This is certainly not
+ The standard \LaTeX\ |{picture}| environment allows you to create
+ simple graphics, but little more. This is certainly not
due to a lack of knowledge or imagination on the part of
\LaTeX's designer(s). Rather, this is the price paid for the
|{picture}| environment's portability: It works together with all
backend drivers.
\item
- The |{pstricks}| package is certainly powerful enough to create
+ The |pstricks| package is certainly powerful enough to create
any conceivable kind of graphic, but it is not portable at all. Most
importantly, it does not work with |pdftex| nor with any other
driver that produces anything but PostScript code.
+
+ Compared to \pgfname, |pstricks| has a broader support base. There
+ are many nice extra packages for special purpose sitations that have
+ been contributed by users over the last decade.
+
+ The \tikzname\ syntax is more consistent than the |pstricks| syntax
+ as \tikzname\ was developed ``in a more centralized manner'' and
+ also ``with the shortcomings on |pstricks| in mind.''
+
+ Note that a number of neat tricks that |pstricks| can do are
+ impossible in \pgfname. In particular, |pstricks| has access to the
+ powerful PostScript programming language, which allows trickery
+ such as inline function plotting.
+\item
+ The |xypic| package is an older package for creating
+ graphics. However, it is more difficult to use and to learn because
+ the syntax and the documentation are a bit cryptic.
+\item
+ The |dratex| package is a small graphic package for creating a
+ graphics. Compared to the other package, including \pgfname, it is
+ very small, which may or may not be an advantage.
+\item
+ The |metapost| program is a very powerful alternative to
+ \pgfname. However, it is an external program, which entails a whole
+ bunch on problems. The time needed both to create a small graphics
+ and also to compile it is much greater than in \pgfname.
+ The main problem with |metapost|, however, is the inclusion of
+ labels. This is \emph{much} easier to achieve using \pgfname.
+\item
+ The |xfig| program is an important alternative to \tikzname\ for
+ users who do not wish to ``program'' their graphics as is necessary
+ with \tikzname\ and the other packages above. Their is a conversion
+ program that will convert |xfig| graphics to both \tikzname\ and
+ for \pgfname, but it is still under construction.
\end{enumerate}
-The \pgfname\ package is a trade-off between portability and expressive
-power. It is not as portable as |{picture}| and perhaps not quite as
-powerful as |{pspicture}|. However, it is more powerful than
-|{picture}| and more portable than |{pspicture}|.
+
+
\subsection{Utilities: Page Management}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-libraries.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-libraries.tex
deleted file mode 100644
index 3d9b4564c5d..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-libraries.tex
+++ /dev/null
@@ -1,1094 +0,0 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
-
-\section{Libraries}
-
-\subsection{Arrow Tip Library}
-\label{section-library-arrows}
-
-\begin{package}{pgflibraryarrows}
- The package defines additional arrow tips, which are described
- below. See page~\pageref{standard-arrows} for the arrows tips that
- are defined by default. Note that neither the standard packages nor
- this package defines an arrow name containing |>| or |<|. These are
- left for the user to defined as he or she sees fit.
-\end{package}
-
-\subsubsection{Triangular Arrow Tips}
-
-\begin{tabular}{ll}
- \symarrow{latex'} \\
- \symarrow{latex' reversed} \\
- \symarrow{stealth'} \\
- \symarrow{stealth' reversed}\\
- \symarrow{triangle 90} \\
- \symarrow{triangle 90 reversed} \\
- \symarrow{triangle 60} \\
- \symarrow{triangle 60 reversed} \\
- \symarrow{triangle 45} \\
- \symarrow{triangle 45 reversed} \\
- \symarrow{open triangle 90} \\
- \symarrow{open triangle 90 reversed} \\
- \symarrow{open triangle 60} \\
- \symarrow{open triangle 60 reversed} \\
- \symarrow{open triangle 45} \\
- \symarrow{open triangle 45 reversed} \\
-\end{tabular}
-
-\subsubsection{Barbed Arrow Tips}
-
-\begin{tabular}{ll}
- \symarrow{angle 90} \\
- \symarrow{angle 90 reversed} \\
- \symarrow{angle 60} \\
- \symarrow{angle 60 reversed} \\
- \symarrow{angle 45} \\
- \symarrow{angle 45 reversed} \\
- \symarrow{hooks} \\
- \symarrow{hooks reversed} \\
-\end{tabular}
-
-
-\subsubsection{Bracket-Like Arrow Tips}
-
-\begin{tabular}{ll}
- \sarrow{[}{]} \\
- \sarrow{]}{[} \\
- \sarrow{(}{)} \\
- \sarrow{)}{(}
-\end{tabular}
-
-\subsubsection{Circle and Diamond Arrow Tips}
-
-
-\begin{tabular}{ll}
- \symarrow{o} \\
- \symarrow{*} \\
- \symarrow{diamond} \\
- \symarrow{open diamond} \\
-\end{tabular}
-
-
-\subsubsection{Partial Arrow Tips}
-
-\begin{tabular}{ll}
- \symarrow{left to} \\
- \symarrow{left to reversed} \\
- \symarrow{right to} \\
- \symarrow{right to reversed} \\
- \symarrow{left hook} \\
- \symarrow{left hook reversed} \\
- \symarrow{right hook} \\
- \symarrow{right hook reversed}
-\end{tabular}
-
-
-\subsubsection{Line Caps}
-
-\begin{tabular}{ll}
- \carrow{round cap} \\
- \carrow{butt cap} \\
- \carrow{triangle 90 cap} \\
- \carrow{triangle 90 cap reversed} \\
- \carrow{fast cap} \\
- \carrow{fast cap reversed} \\
-\end{tabular}
-
-
-\subsection{Snake Library}
-
-\label{section-library-snakes}
-
-\begin{package}{pgflibrarysnakes}
- This library package defines basic
- snakes. Section~\ref{section-tikz-snakes} explains how snakes are
- used in \tikzname, Section~\ref{section-base-snakes} explains how
- new snakes can be defined.
-
- The snakes are influenced by the current values of parameters like
- |\pgfsnakesegmentamplitude|. Only this parameter and
- |\pgfsnakesegmentlength| are proper \TeX\ dimensions, all other
- parameters are \TeX\ macros.
-
- In \tikzname, each parameter can be set using an option having the
- parameters name minus the |\pgfsnake| part.
-\end{package}
-
-
-\begin{snake}{border}
- This snake adds straight lines the path that are at a specific angle
- to the line toward the target. The idea is to add these little lines
- to indicate the ``border'' or an area. The following parameters
- influence the snake:
- \begin{itemize}
- \item |\pgfsnakesegmentlength|
- determines the distance between consecutive ticks.
- \item |\pgfsnakesegmentamplitude|
- determines the length of the ticks.
- \item |\pgfsnakesegmentangle|
- determines the angle between the ticks and the line toward the
- target.
- \end{itemize}
-\begin{codeexample}[]
-\tikz{\draw (0,0) rectangle (3,1)
- [snake=border,segment angle=-45] (0,0) rectangle (3,1);}
-\end{codeexample}
-\end{snake}
-
-
-\begin{snake}{brace}
- This snake adds a long brace to the path. The left and right end of
- the brace will be exactly on the start and endpoint of the
- snake. The following parameters influence the snake:
- \begin{itemize}
- \item |\pgfsnakesegmentamplitude|
- determines how much the brace rises above the path.
- \item |\pgfsnakesegmentaspect|
- determines the fraction of the total length where the ``middle
- part'' of the brace will be.
- \end{itemize}
-\begin{codeexample}[]
-\tikz{\draw[snake=brace,segment aspect=0.25] (0,0) -- (3,0);}
-\end{codeexample}
-\end{snake}
-
-\begin{snake}{bumps}
- This snake consists of little half ellipses. The following parameters
- influence the snake:
- \begin{itemize}
- \item |\pgfsnakesegmentamplitude|
- determines the height of the half ellipse.
- \item |\pgfsnakesegmentlength|
- determines the width of the half ellipse.
- \end{itemize}
-\begin{codeexample}[]
-\tikz{\draw[snake=bumps] (0,0) -- (3,0);}
-\end{codeexample}
-\end{snake}
-
-
-\begin{snake}{coil}
- This snake adds a coil to the path. To understand how this works,
- imagine a three-dimensional spring. The spring's axis points along
- the line toward the target. Then, we ``view'' the spring from a
- certain angle. If we look ``straight from the side'' we will see a
- perfect sine curve, if we look ``more from the front'' we will see a
- coil. The following parameters influence the snake:
- \begin{itemize}
- \item |\pgfsnakesegmentamplitude|
- determines how much the coil rises above the path and falls below
- it. Thus, this is the radius of the coil.
- \item |\pgfsnakesegmentlength|
- determines the distance between two consecutive ``curls.'' Thus,
- when the spring is see ``from the side'' this will be the wave
- length of the sine curve.
- \item |\pgfsnakesegmentaspect|
- determines the ``viewing direction.'' A value of |0| means
- ``looking from the side'' and a value of |0.5|, which is the
- default, means ``look more from the front.''
- \end{itemize}
-\begin{codeexample}[]
-\begin{tikzpicture}[segment amplitude=10pt]
- \draw[snake=coil] (0,1) -- (3,1);
- \draw[snake=coil,segment aspect=0] (0,0) -- (3,0);
-\end{tikzpicture}
-\end{codeexample}
-\end{snake}
-
-
-\begin{snake}{expanding waves}
- This snake adds arcs to the path that get bigger along the line
- towards the target. The following parameters influence the snake:
- \begin{itemize}
- \item |\pgfsnakesegmentlength|
- determines the distance between consecutive arcs.
- \item |\pgfsnakesegmentangle|
- determines the opening angle below and above the path. Thus, the
- total opening angle is twice this angle.
- \end{itemize}
-\begin{codeexample}[]
-\tikz{\draw[snake=expanding waves] (0,0) -- (3,0);}
-\end{codeexample}
-\end{snake}
-
-
-\begin{snake}{saw}
- This snake looks like the blade of a saw. The following parameters
- influence the snake:
- \begin{itemize}
- \item |\pgfsnakesegmentamplitude|
- determines how much each spike raises above the straight line.
- \item |\pgfsnakesegmentlength|
- determines the length each spike.
- \end{itemize}
-\begin{codeexample}[]
-\tikz{\draw[snake=saw] (0,0) -- (3,0);}
-\end{codeexample}
-\end{snake}
-
-
-\begin{snake}{snake}
- This snake is the ``architypical'' snake: It looks like a snake seen
- from above. More precisely, the snake is a sine wave with a
- ``softened'' start and ending. The following parameters influence
- the snake:
- \begin{itemize}
- \item |\pgfsnakesegmentamplitude|
- determines the sine wave's amplitude.
- \item |\pgfsnakesegmentlength|
- determines the sine wave's wave length.
- \end{itemize}
-\begin{codeexample}[]
-\tikz{\draw[snake=snake] (0,0) -- (3,0);}
-\end{codeexample}
-\end{snake}
-
-
-\begin{snake}{ticks}
- This snake adds straight lines the path that are orthogonal to the
- line toward the target. The following parameters influence the snake:
- \begin{itemize}
- \item |\pgfsnakesegmentlength|
- determines the distance between consecutive ticks.
- \item |\pgfsnakesegmentamplitude|
- determines half the length of the ticks.
- \end{itemize}
-\begin{codeexample}[]
-\tikz{\draw[snake=ticks] (0,0) -- (3,0);}
-\end{codeexample}
-\end{snake}
-\begin{snake}{triangles}
- This snake adds triangles to the path that point toward the
- target. The following parameters influence the snake:
- \begin{itemize}
- \item |\pgfsnakesegmentlength|
- determines the distance between consecutive triangles.
- \item |\pgfsnakesegmentamplitude|
- determines half the length of the triangle side that is orthogonal
- to the path.
- \item |\pgfsnakesegmentobjectlength|
- determines the height of the triangle.
- \end{itemize}
-\begin{codeexample}[]
-\tikz{\draw[snake=triangles] (0,0) -- (3,0);}
-\end{codeexample}
-\end{snake}
-
-
-\begin{snake}{waves}
- This snake adds arcs to the path that have a constant size. The
- following parameters influence the snake:
- \begin{itemize}
- \item |\pgfsnakesegmentlength|
- determines the distance between consecutive arcs.
- \item |\pgfsnakesegmentangle|
- determines the opening angle below and above the path. Thus, the
- total opening angle is twice this angle.
- \item |\pgfsnakesegmentamplitude|
- determines the radius of each arc.
- \end{itemize}
-\begin{codeexample}[]
-\tikz{\draw[snake=waves] (0,0) -- (3,0);}
-\end{codeexample}
-\end{snake}
-
-
-\begin{snake}{zigzag}
- This snake looks like a zig-zag line. The following parameters
- influence the snake:
- \begin{itemize}
- \item |\pgfsnakesegmentamplitude|
- determines how much the zig-zag lines raises above and falls below
- a straight line to the target point.
- \item |\pgfsnakesegmentlength|
- determines the length of a complete ``up-down'' cycle.
- \end{itemize}
-\begin{codeexample}[]
-\tikz{\draw[snake=zigzag] (0,0) -- (3,0);}
-\end{codeexample}
-\end{snake}
-
-
-
-\subsection{Plot Handler Library}
-\label{section-library-plothandlers}
-
-\begin{package}{pgflibraryplothandlers}
- This library packages defines additional plot handlers, see
- Section~\ref{section-plot-handlers} for an introduction to plot
- handlers. The additional handlers are described in the following.
-\end{package}
-
-
-\subsubsection{Curve Plot Handlers}
-
-\begin{command}{\pgfplothandlercurveto}
- This handler will issue a |\pgfpathcurveto| command for each point of
- the plot, \emph{except} possibly for the first. As for the line-to
- handler, what happens with the first point can be specified using
- |\pgfsetmovetofirstplotpoint| or |\pgfsetlinetofirstplotpoint|.
-
- Obviously, the |\pgfpathcurveto| command needs, in addition to the
- points on the path, some control points. These are generated
- automatically using a somewhat ``dumb'' algorithm: Suppose you have
- three points $x$, $y$, and $z$ on the curve such that $y$ is between
- $x$ and $z$:
-\begin{codeexample}[]
-\begin{tikzpicture}
- \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
- \pgfplothandlercurveto
- \pgfplotstreamstart
- \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
- \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
- \pgfplotstreampoint{\pgfpoint{2cm}{.5cm}}
- \pgfplotstreamend
- \pgfusepath{stroke}
-\end{tikzpicture}
-\end{codeexample}
-
- In order to determine the control points of the curve at the point
- $y$, the handler computes the vector $z-x$ and scales it by the
- tension factor (see below). Let us call the resulting vector
- $s$. Then $y+s$ and $y-s$ will be the control points around $y$. The
- first control point at the beginning of the curve will be the
- beginning itself, once more; likewise the last control point is the
- end itself.
-\end{command}
-
-\begin{command}{\pgfsetplottension\marg{value}}
- Sets the factor used by the curve plot handlers to determine the
- distance of the control points from the points they control. The
- higher the curvature of the curve points, the higher this value
- should be. A value of $1$ will cause four points at quarter
- positions of a circle to be connected using a circle. The default is
- $0.5$.
-
-\begin{codeexample}[]
-\begin{tikzpicture}
- \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
- \pgfsetplottension{0.75}
- \pgfplothandlercurveto
- \pgfplotstreamstart
- \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
- \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
- \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
- \pgfplotstreamend
- \pgfusepath{stroke}
-\end{tikzpicture}
-\end{codeexample}
-\end{command}
-
-
-\begin{command}{\pgfplothandlerclosedcurve}
- This handler works like the curve-to plot handler, only it will
- add a new part to the current path that is a closed curve through
- the plot points.
-\begin{codeexample}[]
-\begin{tikzpicture}
- \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
- \pgfplothandlerclosedcurve
- \pgfplotstreamstart
- \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
- \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
- \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
- \pgfplotstreamend
- \pgfusepath{stroke}
-\end{tikzpicture}
-\end{codeexample}
-\end{command}
-
-
-\subsubsection{Comb Plot Handlers}
-
-There are three ``comb'' plot handlers. There name stems from the fact
-that the plots they produce look like ``combs'' (more or less).
-
-\begin{command}{\pgfplothandlerxcomb}
- This handler converts each point in the plot stream into a line from
- the $y$-axis to the point's coordinate, resulting in a ``horizontal
- comb.''
-
-
-\begin{codeexample}[]
-\begin{tikzpicture}
- \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
- \pgfplothandlerxcomb
- \pgfplotstreamstart
- \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
- \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
- \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
- \pgfplotstreamend
- \pgfusepath{stroke}
-\end{tikzpicture}
-\end{codeexample}
-\end{command}
-
-
-\begin{command}{\pgfplothandlerycomb}
- This handler converts each point in the plot stream into a line from
- the $x$-axis to the point's coordinate, resulting in a ``vertical
- comb.''
-
- This handler is useful for creating ``bar diagrams.''
-\begin{codeexample}[]
-\begin{tikzpicture}
- \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
- \pgfplothandlerycomb
- \pgfplotstreamstart
- \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
- \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
- \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
- \pgfplotstreamend
- \pgfusepath{stroke}
-\end{tikzpicture}
-\end{codeexample}
-\end{command}
-
-\begin{command}{\pgfplothandlerpolarcomb}
- This handler converts each point in the plot stream into a line from
- the origin to the point's coordinate.
-
-\begin{codeexample}[]
-\begin{tikzpicture}
- \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
- \pgfplothandlerpolarcomb
- \pgfplotstreamstart
- \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
- \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
- \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
- \pgfplotstreamend
- \pgfusepath{stroke}
-\end{tikzpicture}
-\end{codeexample}
-\end{command}
-
-\subsubsection{Mark Plot Handler}
-
-\label{section-plot-marks}
-
-\begin{command}{\pgfplothandlermark\marg{mark code}}
- This command will execute the \meta{mark code} for each point of the
- plot, but each time the coordinate transformation matrix will be
- setup such that the origin is at the position of the point to be
- plotted. This way, if the \meta{mark code} draws a little circle
- around the origin, little circles will be drawn at each point of the
- plot.
-
-\begin{codeexample}[]
-\begin{tikzpicture}
- \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
- \pgfplothandlermark{\pgfpathcircle{\pgfpointorigin}{4pt}\pgfusepath{stroke}}
- \pgfplotstreamstart
- \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
- \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
- \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
- \pgfplotstreamend
- \pgfusepath{stroke}
-\end{tikzpicture}
-\end{codeexample}
-
- Typically, the \meta{code} will be |\pgfuseplotmark{|\meta{plot mark
- name}|}|, where \meta{plot mark name} is the name of a
- predefined plot mark.
-\end{command}
-
-\begin{command}{\pgfuseplotmark\marg{plot mark name}}
- Draws the given \meta{plot mark name} at the origin. The \meta{plot
- mark name} must previously have been declared using
- |\pgfdeclareplotmark|.
-
-\begin{codeexample}[]
-\begin{tikzpicture}
- \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
- \pgfplothandlermark{\pgfuseplotmark{pentagon}}
- \pgfplotstreamstart
- \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
- \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
- \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
- \pgfplotstreamend
- \pgfusepath{stroke}
-\end{tikzpicture}
-\end{codeexample}
-\end{command}
-
-\begin{command}{\pgfdeclareplotmark\marg{plot mark name}\marg{code}}
- Declares a plot mark for later used with the |\pgfuseplotmark|
- command.
-
-\begin{codeexample}[]
-\pgfdeclareplotmark{my plot mark}
- {\pgfpathcircle{\pgfpoint{0cm}{1ex}}{1ex}\pgfusepathqstroke}
-\begin{tikzpicture}
- \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
- \pgfplothandlermark{\pgfuseplotmark{my plot mark}}
- \pgfplotstreamstart
- \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
- \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
- \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
- \pgfplotstreamend
- \pgfusepath{stroke}
-\end{tikzpicture}
-\end{codeexample}
-\end{command}
-
-
-\begin{command}{\pgfsetplotmarksize\marg{dimension}}
- This command sets the \TeX\ dimension |\pgfplotmarksize| to
- \meta{dimension}. This dimension is a ``recommendation'' for plot
- mark code at which size the plot mark should be drawn; plot mark
- code may choose to ignore this \meta{dimension} altogether. For
- circles, \meta{dimension} should be the radius, for other shapes it
- should be about half the width/height.
-
- The predefined plot marks all take this dimension into account.
-
-\begin{codeexample}[]
-\begin{tikzpicture}
- \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
- \pgfsetplotmarksize{1ex}
- \pgfplothandlermark{\pgfuseplotmark{*}}
- \pgfplotstreamstart
- \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
- \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
- \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
- \pgfplotstreamend
- \pgfusepath{stroke}
-\end{tikzpicture}
-\end{codeexample}
-\end{command}
-
-\begin{textoken}{\pgfplotmarksize}
- A \TeX\ dimension that is a ``recommendation'' for the size of plot
- marks.
-\end{textoken}
-
-The following plot marks are predefined (the filling color has been
-set to yellow):
-
-\medskip
-\begin{tabular}{lc}
- \plotmarkentry{*}
- \plotmarkentry{x}
- \plotmarkentry{+}
-\end{tabular}
-
-
-\subsection{Plot Mark Library}
-
-\begin{package}{pgflibraryplotmarks}
- When this package is loaded, the following plot marks are defined in
- addition to |*|, |x|, and |+| (the filling color has been set to a
- dark yellow):
-
- \catcode`\|=12
- \medskip
- \begin{tabular}{lc}
- \plotmarkentry{-}
- \index{*vbar@\protect\texttt{\protect\myvbar} plot mark}%
- \index{Plot marks!*vbar@\protect\texttt{\protect\myvbar}}
- \texttt{\char`\\pgfuseplotmark\char`\{\declare{|}\char`\}} &
- \tikz\draw[color=black!25] plot[mark=|,mark options={fill=yellow,draw=black}]
- coordinates {(0,0) (.5,0.2) (1,0) (1.5,0.2)};\\
- \plotmarkentry{o}
- \plotmarkentry{asterisk}
- \plotmarkentry{star}
- \plotmarkentry{oplus}
- \plotmarkentry{oplus*}
- \plotmarkentry{otimes}
- \plotmarkentry{otimes*}
- \plotmarkentry{square}
- \plotmarkentry{square*}
- \plotmarkentry{triangle}
- \plotmarkentry{triangle*}
- \plotmarkentry{diamond}
- \plotmarkentry{diamond*}
- \plotmarkentry{pentagon}
- \plotmarkentry{pentagon*}
- \end{tabular}
-\end{package}
-
-
-
-\subsection{Shape Library}
-
-\begin{package}{pgflibraryshapes}
- This library packages defines additional shapes, which are
- described in the following.
-\end{package}
-
-\begin{shape}{cross out}
- This shape ``crosses out'' the node. Its foreground path are simply
- two diagonal lines that between the corners of the node's bounding
- box. Here is an example:
-
-\begin{codeexample}[]
-\begin{tikzpicture}
- \draw[help lines] (0,0) grid (3,2);
- \node [cross out,draw=red] at (1.5,1) {cross out};
-\end{tikzpicture}
-\end{codeexample}
-
- A useful application is inside text as in the following example:
-\begin{codeexample}[]
-Cross \tikz[baseline] \node [cross out,draw,anchor=text] {me}; out!
-\end{codeexample}
-
- This shape inherits all anchors from the |rectangle| shape, see also
- the following figure:
-\begin{codeexample}[]
-\Huge
-\begin{tikzpicture}
- \node[name=s,shape=cross out,style=shape example] {cross out\vrule width 1pt height 2cm};
- \foreach \anchor/\placement in
- {north west/above left, north/above, north east/above right,
- west/left, center/above, east/right,
- mid west/right, mid/above, mid east/left,
- base west/left, base/below, base east/right,
- south west/below left, south/below, south east/below right,
- text/left, 10/right, 130/above}
- \draw[shift=(s.\anchor)] plot[mark=x] coordinates{(0,0)}
- node[\placement] {\scriptsize\texttt{(s.\anchor)}};
-\end{tikzpicture}
-\end{codeexample}
-\end{shape}
-
-\begin{shape}{ellipse}
- This shape is an ellipse tightly fitting the text box, if no inner
- separation is given. The following figure shows the anchors this
- shape defines; the anchors |10| and |130| are example of border anchors.
-\begin{codeexample}[]
-\Huge
-\begin{tikzpicture}
- \node[name=s,shape=ellipse,style=shape example] {Ellipse\vrule width 1pt height 2cm};
- \foreach \anchor/\placement in
- {north west/above left, north/above, north east/above right,
- west/left, center/above, east/right,
- mid west/right, mid/above, mid east/left,
- base west/left, base/below, base east/right,
- south west/below left, south/below, south east/below right,
- text/left, 10/right, 130/above}
- \draw[shift=(s.\anchor)] plot[mark=x] coordinates{(0,0)}
- node[\placement] {\scriptsize\texttt{(s.\anchor)}};
-\end{tikzpicture}
-\end{codeexample}
-\end{shape}
-
-\begin{shape}{forbidden sign}
- This shape places the node inside a circle with a diagonal from the
- lower left to the upper right added. The circle is part of the
- background, the diagonal line part of the foreground path; thus, the
- diagonal line is on top of the text.
-
-\begin{codeexample}[]
-\begin{tikzpicture}
- \node [forbidden sign,line width=1ex,draw=red,fill=white] {Smoking};
-\end{tikzpicture}
-\end{codeexample}
-
- The shape inherits all anchors from the |circle| shape, see also the
- following figure:
-\begin{codeexample}[]
-\Huge
-\begin{tikzpicture}
- \node[name=s,shape=forbidden sign,style=shape example] {Forbidden\vrule width 1pt height 2cm};
- \foreach \anchor/\placement in
- {north west/above left, north/above, north east/above right,
- west/left, center/above, east/right,
- mid west/right, mid/above, mid east/left,
- base west/left, base/below, base east/right,
- south west/below left, south/below, south east/below right,
- text/left, 10/right, 130/above}
- \draw[shift=(s.\anchor)] plot[mark=x] coordinates{(0,0)}
- node[\placement] {\scriptsize\texttt{(s.\anchor)}};
-\end{tikzpicture}
-\end{codeexample}
-\end{shape}
-
-
-\begin{shape}{strike out}
- This shape is idential to the |cross out| shape, only its foreground
- path consists of a single line from the lower left to the upper
- right.
-
-\begin{codeexample}[]
-Strike \tikz[baseline] \node [strike out,draw,anchor=text] {me}; out!
-\end{codeexample}
-
- See the |cross out| shape for the anchors.
-\end{shape}
-
-
-
-\subsection{Tree Library}
-
-\label{section-tree-library}
-
-
-\begin{package}{pgflibrarytikztrees}
- This packages defines styles to be used when drawing trees.
-\end{package}
-
-\subsubsection{Growth Functions}
-
-The package |pgflibrarytikztrees| defines two new growth
-functions. They are installed using the following options:
-
-\begin{itemize}
- \itemoption{grow via three points}|=one child at (|\meta{x}%
- |) and two children at (|\meta{y}|) and (|\meta{z}|)|
- This option installs a growth function that works as follows: If a
- parent node has just one child, this child is placed at \meta{x}. If
- the parent node has two children, these are placed at \meta{y} and
- \meta{z}. If the parent node has more than two children, the
- children are placed at points that are linearly extrapolated from
- the three points \meta{x}, \meta{y}, and \meta{z}. In detail, the
- position is $x + \frac{n-1}{2}(y-x) + (c-1)(z-y)$, where $n$ is the
- number of children and $c$ is the number of the current child
- (starting with~$1$).
-
- The net effect of all this is that if you have a certain ``linear
- arrangement'' in mind and use this option to specify the placement
- of a single child and of two children, then any number of children
- will be placed correctly.
-
- Here are some arrangements based on this growth function. We start
- with a simple ``above'' arrangement:
-\begin{codeexample}[]
-\begin{tikzpicture}[grow via three points={%
- one child at (0,1) and two children at (-.5,1) and (.5,1)}]
- \node at (0,0) {one} child;
- \node at (0,-1.5) {two} child child;
- \node at (0,-3) {three} child child child;
- \node at (0,-4.5) {four} child child child child;
-\end{tikzpicture}
-\end{codeexample}
-
- The next arrangement places children above, but ``grows only to the
- right.''
-\begin{codeexample}[]
-\begin{tikzpicture}[grow via three points={%
- one child at (0,1) and two children at (0,1) and (1,1)}]
- \node at (0,0) {one} child;
- \node at (0,-1.5) {two} child child;
- \node at (0,-3) {three} child child child;
- \node at (0,-4.5) {four} child child child child;
-\end{tikzpicture}
-\end{codeexample}
-
- In the final arrangement, the children are placed along a line going
- down and right.
-\begin{codeexample}[]
-\begin{tikzpicture}[grow via three points={%
- one child at (-1,-.5) and two children at (-1,-.5) and (0,-.75)}]
- \node at (0,0) {one} child;
- \node at (0,-1.5) {two} child child;
- \node at (0,-3) {three} child child child;
- \node at (0,-4.5) {four} child child child child;
-\end{tikzpicture}
-\end{codeexample}
-
- These examples should make it clear how you can create new styles to
- arrange your children along a line.
-
- \itemstyle{grow cyclic}
- This style causes the children to be arranged ``on a circle.'' For
- this, the children are placed at distance |\tikzleveldistance| from
- the parent node, but not on a straight line, but points on a
- circle. Instead of a sibling distance, there is a |sibling angle|
- that denotes the angle between two given children.
- \begin{itemize}
- \itemoption{sibling angle}|=|\meta{angle}
- Sets the angle between siblings in the |grow cyclic| style.
- \end{itemize}
- Note that this function will rotate the coordinate system of the
- children to ensure that the grandchildren will grow in the right
- direction.
-\begin{codeexample}[]
-\begin{tikzpicture}[grow cyclic]
- \tikzstyle{level 1}=[level distance=8mm,sibling angle=60]
- \tikzstyle{level 2}=[level distance=4mm,sibling angle=45]
- \tikzstyle{level 3}=[level distance=2mm,sibling angle=30]
- \coordinate [rotate=-90] % going down
- child foreach \x in {1,2,3}
- {child foreach \x in {1,2,3}
- {child foreach \x in {1,2,3}}};
-\end{tikzpicture}
-\end{codeexample}
-\end{itemize}
-
-\subsubsection{Edges From Parent}
-
-The following styles can be used to modify how the edges from parents
-are drawn:
-
-\begin{itemize}
- \itemstyle{edge from parent fork down}
- This style will draw a line from the parent downwards (for half the
- level distance) and then on to the child using only horizontal and
- vertical lines.
-\begin{codeexample}[]
-\begin{tikzpicture}
- \node {root}
- [edge from parent fork down]
- child {node {left}}
- child {node {right}
- child[child anchor=north east] {node {child}}
- child {node {child}}
- };
-\end{tikzpicture}
-\end{codeexample}
- \itemstyle{edge from parent fork right}
- This style behaves similarly, only it will first draw its edge to
- the right.
-\begin{codeexample}[]
-\begin{tikzpicture}
- \node {root}
- [edge from parent fork right,grow=right]
- child {node {left}}
- child {node {right}
- child {node {child}}
- child {node {child}}
- };
-\end{tikzpicture}
-\end{codeexample}
- \itemstyle{edge from parent fork left}
- behaves similary.
- \itemstyle{edge from parent fork up}
- behaves similary.
-\end{itemize}
-
-
-
-\subsection{Background Library}
-
-\label{section-tikz-backgrounds}
-
-\begin{package}{pgflibrarytikzbackgrounds}
- This packages defines ``backgrounds'' for pictures. This does not
- refer to background pictures, but rather to frames drawn around and
- behind pictures. For example, this package allows you to just add
- the |framed| option to a picture to get a rectangular box around
- your picture or |gridded| to put a grid behind your picture.
-\end{package}
-
-When this package is loaded, the following styles become available:
-\begin{itemize}
- \itemstyle{show background rectangle}
- This style causes a rectangle to be drawn behind your graphic. This
- style option must be given to the |{tikzpicture}| environment or to
- the |\tikz| command.
-\begin{codeexample}[]
-\begin{tikzpicture}[show background rectangle]
- \draw (0,0) ellipse (10mm and 5mm);
-\end{tikzpicture}
-\end{codeexample}
- The size of the background rectangle is determined as follows:
- We start with the bounding box of the picture. Then, a certain
- separator distance is added on the sides. This distance can be
- different for the $x$- and $y$-directions and can be set using the
- following options:
- \begin{itemize}
- \itemoption{inner frame xsep}|=|\meta{dimension}
- Sets the additional horizontal separator distance for the
- background rectangle. The default is |1ex|.
- \itemoption{inner frame ysep}|=|\meta{dimension}
- Same for the vertical separator distance.
- \itemoption{inner frame sep}|=|\meta{dimension}
- sets the horizontal and vertical separator distances
- simultaneously.
- \end{itemize}
- The following two styles make setting the inner separator a bit
- easier to remember:
- \begin{itemize}
- \itemstyle{tight background} Sets the inner frame separator to
- 0pt. The background rectangle will have the size of the bounding
- box.
- \itemstyle{loose background} Sets the inner frame separator to 2ex.
- \end{itemize}
-
- You can influence how the background rectangle is rendered by setting
- the following style:
- \begin{itemize}
- \itemstyle{background rectangle}
- This style dictates how the background rectangle is drawn or
- filled. By default this style is set to |draw|, which causes the
- path of the background rectangle to be drawn in the usual
- way. Setting this style to, say, |fill=blue!20| causes a light
- blue background to be added to the picture. You can also use more
- fancy settings as shown in the following example:
-\begin{codeexample}[]
-\tikzstyle{background rectangle}=
- [double,ultra thick,draw=red,top color=blue,rounded corners]
-\begin{tikzpicture}[show background rectangle]
- \draw (0,0) ellipse (10mm and 5mm);
-\end{tikzpicture}
-\end{codeexample}
- Naturally, no one in their right mind would use the above, but
- here is a nice background:
-\begin{codeexample}[]
-\tikzstyle{background rectangle}=
- [draw=blue!50,fill=blue!20,rounded corners=1ex]
-\begin{tikzpicture}[show background rectangle]
- \draw (0,0) ellipse (10mm and 5mm);
-\end{tikzpicture}
-\end{codeexample}
-\end{itemize}
- \itemstyle{framed}
- This is a shorthand for |show background rectangle|.
- \itemstyle{show background grid}
- This style behaves similarly to the |show background rectangle|
- style, but it will not use a rectangle path, but a grid. The lower
- left and upper right corner of the grid is computed in the same way
- as for the background rectangle:
-\begin{codeexample}[]
-\begin{tikzpicture}[show background grid]
- \draw (0,0) ellipse (10mm and 5mm);
-\end{tikzpicture}
-\end{codeexample}
- You can influence the background grid by setting
- the following style:
- \begin{itemize}
- \itemstyle{background grid}
- This style dictates how the background grid path is drawn. The
- default is |draw,help lines|.
-\begin{codeexample}[]
-\tikzstyle{background grid}=[thick,draw=red,step=.5cm]
-\begin{tikzpicture}[show background grid]
- \draw (0,0) ellipse (10mm and 5mm);
-\end{tikzpicture}
-\end{codeexample}
- This option can be combined with the |framed| option (use the
- |framed| option first):
-\begin{codeexample}[]
-\tikzstyle{background grid}=[thick,draw=red,step=.5cm]
-\tikzstyle{background rectangle}=[rounded corners,fill=yellow]
-\begin{tikzpicture}[framed,gridded]
- \draw (0,0) ellipse (10mm and 5mm);
-\end{tikzpicture}
-\end{codeexample}
- \itemstyle{gridded}
- This is a shorthand for |show background grid|.
- \end{itemize}
- \itemstyle{show background top}
- This style causes a single line to be drawn at the top of the
- background rectangle. Normally, the line coincides exactly with the
- top line of the background rectangle:
-\begin{codeexample}[]
-\tikzstyle{background rectangle}=[fill=yellow]
-\begin{tikzpicture}[framed,show background top]
- \draw (0,0) ellipse (10mm and 5mm);
-\end{tikzpicture}
-\end{codeexample}
- The following option allows you to lengthen (or shorten) the line:
- \begin{itemize}
- \itemoption{outer frame xsep}|=|\meta{dimension}
- The \meta{dimension} is added at the left and right side of the
- line.
-\begin{codeexample}[]
-\tikzstyle{background rectangle}=[fill=yellow]
-\begin{tikzpicture}
- [framed,show background top,outer frame xsep=1ex]
- \draw (0,0) ellipse (10mm and 5mm);
-\end{tikzpicture}
-\end{codeexample}
- \itemoption{outer frame ysep}|=|\meta{dimension}
- This option does not apply to the top line, but to the left and
- right lines, see below.
- \itemoption{outer frame sep}|=|\meta{dimension}
- Sets both the $x$- and $y$-separation.
-\begin{codeexample}[]
-\tikzstyle{background rectangle}=[fill=blue!20]
-\begin{tikzpicture}
- [outer frame sep=1ex,%
- show background top,%
- show background bottom,%
- show background left,%
- show background right]
- \draw (0,0) ellipse (10mm and 5mm);
-\end{tikzpicture}
-\end{codeexample}
- \end{itemize}
- You can influence how the line is drawn grid by setting
- the following style:
- \begin{itemize}
- \itemstyle{background top}
- Default is |draw|.
-\begin{codeexample}[]
-\tikzstyle{background rectangle}=[fill=blue!20]
-\tikzstyle{background top}=[draw=blue!50,line width=1ex]
-\begin{tikzpicture}[framed,show background top]
- \draw (0,0) ellipse (10mm and 5mm);
-\end{tikzpicture}
-\end{codeexample}
- \end{itemize}
- \itemstyle{show background bottom}
- works like the style for the top line.
- \itemstyle{show background left}
- works like the style for the top line.
- \itemstyle{show background right}
- works like the style for the top line.
-\end{itemize}
-
-
-\subsection{Automata Drawing Library}
-
-\begin{package}{pgflibraryautomata}
- This packages, which is still under construction, provides shapes
- and styles for drawing automata.
-\end{package}
-
-
-\begin{shape}{state}
- This shape is currently just an alias for the |circle|
- shape. However, it is useful to have another shape |state| since one
- can then say, for example, the the style |every state shape| should
- be set to some special value.
-\end{shape}
-
-\begin{shape}{state with output}
- This shape is a multi-part shape. The main part (the text part) is
- the name of the state as in the |state| shape. The second part is
- called |output|. This node part is drawn in the lower part of the
- node, separated from the upper part by a line.
-
-\begin{codeexample}[]
-\begin{tikzpicture}
- \node [state with output,draw,double,fill=red!20]
- {
- $q_1$
- \nodepart{output}
- $00$
- };
-\end{tikzpicture}
-\end{codeexample}
-
- The shape inherits all anchors from the |circle| shape and defines
- the |output| anchor in addition. See also the
- following figure:
-\begin{codeexample}[]
-\Huge
-\begin{tikzpicture}
- \node[name=s,shape=state with output,style=shape example] {state name\nodepart{output}output};
- \foreach \anchor/\placement in
- {north west/above left, north/above, north east/above right,
- west/left, center/below, east/right,
- mid west/right, mid/above, mid east/left,
- base west/left, base/below, base east/right,
- south west/below left, south/below, south east/below right,
- text/left, output/left, 130/above}
- \draw[shift=(s.\anchor)] plot[mark=x] coordinates{(0,0)}
- node[\placement] {\scriptsize\texttt{(s.\anchor)}};
-\end{tikzpicture}
-\end{codeexample}
-\end{shape}
-
-
-
-%%% Local Variables:
-%%% mode: latex
-%%% TeX-master: "pgfmanual-pdftex-version"
-%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-3d.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-3d.tex
new file mode 100644
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+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Three Dimensional Drawing Library}
+
+\begin{tikzlibrary}{3d}
+ This packages, which is still under construction, provides some
+ styles and options for drawing three dimensional shapes.
+
+ \textbf{This package is not officially released and commands may
+ change or disappear without backward compatibility support.}
+\end{tikzlibrary}
+
+This package is not yet documented. Here is, at least, an example of
+where this whole thing is supposed to head.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[z={(10:10mm)},x={(-45:5mm)}]
+ \def\wave{
+ \draw[fill,thick,fill opacity=.2]
+ (0,0) sin (1,1) cos (2,0) sin (3,-1) cos (4,0)
+ sin (5,1) cos (6,0) sin (7,-1) cos (8,0)
+ sin (9,1) cos (10,0)sin (11,-1)cos (12,0);
+ \foreach \shift in {0,4,8}
+ {
+ \begin{scope}[xshift=\shift cm,thin]
+ \draw (.5,0) -- (0.5,0 |- 45:1cm);
+ \draw (1,0) -- (1,1);
+ \draw (1.5,0) -- (1.5,0 |- 45:1cm);
+ \draw (2.5,0) -- (2.5,0 |- -45:1cm);
+ \draw (3,0) -- (3,-1);
+ \draw (3.5,0) -- (3.5,0 |- -45:1cm);
+ \end{scope}
+ }
+ }
+ \begin{scope}[canvas is zy plane at x=0,fill=blue]
+ \wave
+ \node at (6,-1.5) [transform shape] {magnetic field};
+ \end{scope}
+ \begin{scope}[canvas is zx plane at y=0,fill=red]
+ \draw[help lines] (0,-2) grid (12,2);
+ \wave
+ \node at (6,1.5) [rotate=180,xscale=-1,transform shape] {electric field};
+ \end{scope}
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \begin{scope}[canvas is zy plane at x=0]
+ \draw (0,0) circle (1cm);
+ \draw (-1,0) -- (1,0) (0,-1) -- (0,1);
+ \end{scope}
+
+ \begin{scope}[canvas is zx plane at y=0]
+ \draw (0,0) circle (1cm);
+ \draw (-1,0) -- (1,0) (0,-1) -- (0,1);
+ \end{scope}
+
+ \begin{scope}[canvas is xy plane at z=0]
+ \draw (0,0) circle (1cm);
+ \draw (-1,0) -- (1,0) (0,-1) -- (0,1);
+ \end{scope}
+\end{tikzpicture}
+\end{codeexample}
+
+
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-arrows.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-arrows.tex
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+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Arrow Tip Library}
+\label{section-library-arrows}
+
+\begin{pgflibrary}{arrows}
+ The package defines additional arrow tips, which are described
+ below. See page~\pageref{standard-arrows} for the arrows tips that
+ are defined by default. Note that neither the standard packages nor
+ this package defines an arrow name containing |>| or |<|. These are
+ left for the user to defined as he or she sees fit.
+\end{pgflibrary}
+
+\subsection{Triangular Arrow Tips}
+
+\begin{tabular}{ll}
+ \symarrow{latex'} \\
+ \symarrow{latex' reversed} \\
+ \symarrow{stealth'} \\
+ \symarrow{stealth' reversed}\\
+ \symarrow{triangle 90} \\
+ \symarrow{triangle 90 reversed} \\
+ \symarrow{triangle 60} \\
+ \symarrow{triangle 60 reversed} \\
+ \symarrow{triangle 45} \\
+ \symarrow{triangle 45 reversed} \\
+ \symarrow{open triangle 90} \\
+ \symarrow{open triangle 90 reversed} \\
+ \symarrow{open triangle 60} \\
+ \symarrow{open triangle 60 reversed} \\
+ \symarrow{open triangle 45} \\
+ \symarrow{open triangle 45 reversed} \\
+\end{tabular}
+
+\subsection{Barbed Arrow Tips}
+
+\begin{tabular}{ll}
+ \symarrow{angle 90} \\
+ \symarrow{angle 90 reversed} \\
+ \symarrow{angle 60} \\
+ \symarrow{angle 60 reversed} \\
+ \symarrow{angle 45} \\
+ \symarrow{angle 45 reversed} \\
+ \symarrow{hooks} \\
+ \symarrow{hooks reversed} \\
+\end{tabular}
+
+
+\subsection{Bracket-Like Arrow Tips}
+
+\begin{tabular}{ll}
+ \sarrow{[}{]} \\
+ \sarrow{]}{[} \\
+ \sarrow{(}{)} \\
+ \sarrow{)}{(}
+\end{tabular}
+
+\subsection{Circle and Diamond Arrow Tips}
+
+
+\begin{tabular}{ll}
+ \symarrow{o} \\
+ \symarrow{*} \\
+ \symarrow{diamond} \\
+ \symarrow{open diamond} \\
+\end{tabular}
+
+
+
+\subsection{Serif-Like Arrow Tips}
+
+\begin{tabular}{ll}
+ \symarrow{serif cm}
+\end{tabular}
+
+
+\subsection{Partial Arrow Tips}
+
+\begin{tabular}{ll}
+ \symarrow{left to} \\
+ \symarrow{left to reversed} \\
+ \symarrow{right to} \\
+ \symarrow{right to reversed} \\
+ \symarrow{left hook} \\
+ \symarrow{left hook reversed} \\
+ \symarrow{right hook} \\
+ \symarrow{right hook reversed}
+\end{tabular}
+
+
+
+\subsection{Line Caps}
+
+\begin{tabular}{ll}
+ \carrow{round cap} \\
+ \carrow{butt cap} \\
+ \carrow{triangle 90 cap} \\
+ \carrow{triangle 90 cap reversed} \\
+ \carrow{fast cap} \\
+ \carrow{fast cap reversed} \\
+\end{tabular}
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-automata.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-automata.tex
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+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Automata Drawing Library}
+
+\begin{tikzlibrary}{automata}
+ This packages provides shapes and styles for drawing finite state
+ automata and Turing machines.
+\end{tikzlibrary}
+
+
+\subsection{Drawing Automata}
+
+The automata drawing library is intended to make it easy to draw
+finite automata and Turing machines. It does not cover every
+situation imaginable, but most finite automata and Turing machines
+found in text books can be drawn in a nice and convenient fashion
+using this library.
+
+To draw an automaton, proceed as follows:
+\begin{enumerate}
+\item For each state of the automaton, there should be one node with
+ the option |state|.
+\item To place the states, you can either use absolute positions or
+ relative positions, using options like |above of| or |right of|.
+\item Give a unique name to each state node.
+\item Accepting and initial states are indicated by adding the
+ options |accepting| and |initial|, respectively, to the state
+ nodes.
+\item Once the states are fixed, the edges can be added. For this, the
+ |edge| operation is most useful. It is, however, also possible to
+ add edges after each node has been placed.
+\item For loops, use the |edge [loop]| operation.
+\end{enumerate}
+
+Let us now see how this works for a real example. Let us consider a
+nondeterminsitic four state automaton that checks whether an contains
+the sequence $0^*1$ or the sequence $1^*0$.
+\begin{codeexample}[]
+\begin{tikzpicture}[shorten >=1pt,node distance=2cm,auto]
+ \draw[help lines] (0,0) grid (3,2);
+
+ \node[state,initial] (q_0) {$q_0$};
+ \node[state] (q_1) [above right of=q_0] {$q_1$};
+ \node[state] (q_2) [below right of=q_0] {$q_2$};
+ \node[state,accepting](q_3) [below right of=q_1] {$q_3$};
+
+ \path[->] (q_0) edge node {0} (q_1)
+ edge node [swap] {1} (q_2)
+ (q_1) edge node {1} (q_3)
+ edge [loop above] node {0} ()
+ (q_2) edge node [swap] {0} (q_3)
+ edge [loop below] node {1} ();
+\end{tikzpicture}
+\end{codeexample}
+
+
+\subsection{States With and Without Output}
+
+The |state| style actually just ``selects'' a default underlying
+style. Thus, you can define multiple new complicated state style and
+then simply set the |state| style to your given style to get the
+desired kind of styles.
+
+By default, the following state styles are defined:
+\begin{itemize}
+ \itemstyle{state without output}
+ This node style causes nodes to be drawn circles. Also, this style
+ calls |every state|.
+ \itemstyle{state with output}
+ This node style causes nodes to be drawn as split circles, that is,
+ using the |circle split| shape. In the upper part of the shape you
+ have the name of the style, in the lower part the output is
+ placed. To specify the output, use the command |\nodepart{lower}|
+ inside the node. This style also calls |every state|.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+
+ \node[state without output] {$q_0$};
+
+ \node[state with output] at (2,0) {$q_1$ \nodepart{lower} $00$};
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemstyle{state}
+ This style is set to |state without output| by default. You should
+ redefine it to something else, if you wish to use states of a
+ different nature.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{state}=[state with output]
+ \node[state] {$q_0$ \nodepart{lower} $11$};
+ \node[state] at (2,0) {$q_1$ \nodepart{lower} $00$};
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemstyle{every state}
+ This style is used by |state with output| and also by
+ |state without output|. By default, it does nothing, but you can use
+ it to make your state look more fancy:
+\begin{codeexample}[]
+\begin{tikzpicture}[shorten >=1pt,node distance=2cm,>=stealth']
+ \tikzstyle{every state}=[draw=blue!50,very thick,fill=blue!20]
+
+ \node[state,initial] (q_0) {$q_0$};
+ \node[state] (q_1) [above right of=q_0] {$q_1$};
+ \node[state] (q_2) [below right of=q_0] {$q_2$};
+
+ \path[->] (q_0) edge node [above left] {0} (q_1)
+ edge node [below left] {1} (q_2)
+ (q_1) edge [loop above] node {0} ()
+ (q_2) edge [loop below] node {1} ();
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+\subsection{Initial and Accepting States}
+
+The styles |initial| and |accepting| are similar to the |state| style
+as they also just select an ``underlying'' style, which installs the
+actual settings for initial and accepting states.
+
+For initial states, there is only one predefined way of drawing them,
+so the two-stage mechanism is not really necessary, but, perhaps,
+I will find another way of drawing them in the literature some time.
+
+Let us start with the initial states.
+\begin{itemize}
+ \itemstyle{initial}
+ This style simply selects |initial by arrow|.
+ \itemstyle{initial by arrow}
+ This style causes an arrow and, possibly, some text to be added to
+ the node. The arrow points from the text to the node. The node text
+ and the direction and the distance can be set using the following
+ options:
+ \begin{itemize}
+ \itemoption{initial text}|=|\meta{text} sets the text to be
+ used. Use an empty text to suppress all text. The default is
+ |start|.
+ \itemoption{initial where}|=|\meta{direction} set the place where
+ the text should be shown. Allowed values are |above|, |below|,
+ |left|, and |right|.
+ \itemoption{intial distance}|=|\meta{distance} is the length of the
+ arrow leading from the text to the state node.
+ \end{itemize}
+ \itemstyle{every initial by arrow}
+ This style is executed at the beginning of every path that contains
+ the arrow and the text. You can use it to, say, make the text red or
+ whatever.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every initial by arrow}=[text=red,->>]
+ \node[state,initial,initial distance=2cm] {$q_0$};
+\end{tikzpicture}
+\end{codeexample}
+ \itemstyle{initial above} is a shorthand for
+ |initial by arrow,initial where=above|
+ \itemstyle{initial below} works similarly to the previous option.
+ \itemstyle{initial left} works similarly to the previous option.
+ \itemstyle{initial right} works similarly to the previous option.
+\end{itemize}
+
+For the accepting states, the sitation is similar: There is also an
+|accepting| style that selects the way accepting states are
+rendered. However, there are now two options: First,
+|accepting by arrow|, which works the same way as |initial by arrow|,
+only with the direction of arrow reversed, and |accepting by double|,
+where accepting states get a double line around them.
+
+\begin{itemize}
+ \itemstyle{accepting}
+ This style selects |accepting by double| by default. You can replace
+ this by the style |accepting by arrow| to get accepting states with
+ an arrow leaving them.
+ \itemstyle{accepting by double}
+ Specifies that the node should get a double line around it.
+ \itemstyle{accepting by arrow}
+ This style causes an arrow and, possibly, some text to be added to
+ the node. The arrow points to the text from the node.
+ \begin{itemize}
+ \itemoption{accepting text}|=|\meta{text} sets the text to be
+ used. Use an empty text to suppress all text. This is the default.
+ \itemoption{accepting where}|=|\meta{direction} set the place where
+ the text should be shown. Allowed values are |above|, |below|,
+ |left|, and |right|.
+ \itemoption{intial distance}|=|\meta{distance} is the length of the
+ arrow.
+ \end{itemize}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ [shorten >=1pt,node distance=2cm,>=stealth',initial text=]
+
+ \tikzstyle{every state}=[draw=blue!50,very thick,fill=blue!20]
+ \tikzstyle{accepting}=[accepting by arrow]
+
+ \node[state,initial] (q_0) {$q_0$};
+ \node[state] (q_1) [above right of=q_0] {$q_1$};
+ \node[state] (q_2) [below right of=q_0] {$q_2$};
+ \node[state,accepting](q_3) [below right of=q_1] {$q_3$};
+
+ \path[->] (q_0) edge node [above left] {0} (q_1)
+ edge node [below left] {1} (q_2)
+ (q_1) edge node [above right] {1} (q_3)
+ edge [loop above] node {0} ()
+ (q_2) edge node [below right] {0} (q_3)
+ edge [loop below] node {1} ();
+\end{tikzpicture}
+\end{codeexample}
+ \itemstyle{every accepting by arrow}
+ This style is executed at the beginning of every path that contains
+ the arrow and the text.
+ \itemstyle{accepting above} is a shorthand for
+ |accepting by arrow,accepting where=above|
+ \itemstyle{accepting below} works similarly to the previous option.
+ \itemstyle{accepting left} works similarly to the previous option.
+ \itemstyle{accepting right} works similarly to the previous option.
+\end{itemize}
+
+
+
+\subsection{Examples}
+
+In the following example, we once more typeset the automaton presented
+in the previous sections. This time, we use the following rule for
+accepting/initial state: Initial states are red, accepting states are
+green, and normal states are orange. Then, we must find a path from a
+red state to a green state.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[shorten >=1pt,node distance=2cm,>=stealth',thick]
+ \tikzstyle{every state}=[fill,draw=none,orange,text=white]
+ \tikzstyle{accepting}=[green!50!black,text=white]
+ \tikzstyle{initial}= [red,text=white]
+
+ \node[state,initial] (q_0) {$q_0$};
+ \node[state] (q_1) [above right of=q_0] {$q_1$};
+ \node[state] (q_2) [below right of=q_0] {$q_2$};
+ \node[state,accepting](q_3) [below right of=q_1] {$q_3$};
+
+ \path[->] (q_0) edge node [above left] {0} (q_1)
+ edge node [below left] {1} (q_2)
+ (q_1) edge node [above right] {1} (q_3)
+ edge [loop above] node {0} ()
+ (q_2) edge node [below right] {0} (q_3)
+ edge [loop below] node {1} ();
+\end{tikzpicture}
+\end{codeexample}
+
+The next example is the current candidate for the five-state busiest
+beaver:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[->,>=stealth',shorten >=1pt,%
+ auto,node distance=2cm,semithick,
+ inner sep=2pt,bend angle=45]
+ \node[initial,state] (A) {$q_a$};
+ \node[state] (B) [above right of=A] {$q_b$};
+ \node[state] (D) [below right of=A] {$q_d$};
+ \node[state] (C) [below right of=B] {$q_c$};
+ \node[state] (E) [below of=D] {$q_e$};
+
+ \tikzstyle{every node}=[font=\footnotesize]
+
+ \path (A) edge node {0,1,L} (B)
+ edge node {1,1,R} (C)
+ (B) edge [loop above] node {1,1,L} (B)
+ edge node {0,1,L} (C)
+ (C) edge node {0,1,L} (D)
+ edge [bend left] node {1,0,R} (E)
+ (D) edge [loop below] node {1,1,R} (D)
+ edge node {0,1,R} (A)
+ (E) edge [bend left] node {1,0,R} (A);
+\end{tikzpicture}
+\end{codeexample}
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-backgrounds.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-backgrounds.tex
new file mode 100644
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--- /dev/null
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+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+
+\section{Background Library}
+
+\label{section-tikz-backgrounds}
+
+\begin{tikzlibrary}{backgrounds}
+ This library defines ``backgrounds'' for pictures. This does not
+ refer to background pictures, but rather to frames drawn around and
+ behind pictures. For example, this package allows you to just add
+ the |framed| option to a picture to get a rectangular box around
+ your picture or |gridded| to put a grid behind your picture.
+\end{tikzlibrary}
+
+When this package is loaded, the following styles become available:
+\begin{itemize}
+ \itemstyle{show background rectangle}
+ This style causes a rectangle to be drawn behind your graphic. This
+ style option must be given to the |{tikzpicture}| environment or to
+ the |\tikz| command.
+\begin{codeexample}[]
+\begin{tikzpicture}[show background rectangle]
+ \draw (0,0) ellipse (10mm and 5mm);
+\end{tikzpicture}
+\end{codeexample}
+ The size of the background rectangle is determined as follows:
+ We start with the bounding box of the picture. Then, a certain
+ separator distance is added on the sides. This distance can be
+ different for the $x$- and $y$-directions and can be set using the
+ following options:
+ \begin{itemize}
+ \itemoption{inner frame xsep}|=|\meta{dimension}
+ Sets the additional horizontal separator distance for the
+ background rectangle. The default is |1ex|.
+ \itemoption{inner frame ysep}|=|\meta{dimension}
+ Same for the vertical separator distance.
+ \itemoption{inner frame sep}|=|\meta{dimension}
+ sets the horizontal and vertical separator distances
+ simultaneously.
+ \end{itemize}
+ The following two styles make setting the inner separator a bit
+ easier to remember:
+ \begin{itemize}
+ \itemstyle{tight background} Sets the inner frame separator to
+ 0pt. The background rectangle will have the size of the bounding
+ box.
+ \itemstyle{loose background} Sets the inner frame separator to 2ex.
+ \end{itemize}
+
+ You can influence how the background rectangle is rendered by setting
+ the following style:
+ \begin{itemize}
+ \itemstyle{background rectangle}
+ This style dictates how the background rectangle is drawn or
+ filled. By default this style is set to |draw|, which causes the
+ path of the background rectangle to be drawn in the usual
+ way. Setting this style to, say, |fill=blue!20| causes a light
+ blue background to be added to the picture. You can also use more
+ fancy settings as shown in the following example:
+\begin{codeexample}[]
+\tikzstyle{background rectangle}=
+ [double,ultra thick,draw=red,top color=blue,rounded corners]
+\begin{tikzpicture}[show background rectangle]
+ \draw (0,0) ellipse (10mm and 5mm);
+\end{tikzpicture}
+\end{codeexample}
+ Naturally, no one in their right mind would use the above, but
+ here is a nice background:
+\begin{codeexample}[]
+\tikzstyle{background rectangle}=
+ [draw=blue!50,fill=blue!20,rounded corners=1ex]
+\begin{tikzpicture}[show background rectangle]
+ \draw (0,0) ellipse (10mm and 5mm);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+ \itemstyle{framed}
+ This is a shorthand for |show background rectangle|.
+ \itemstyle{show background grid}
+ This style behaves similarly to the |show background rectangle|
+ style, but it will not use a rectangle path, but a grid. The lower
+ left and upper right corner of the grid is computed in the same way
+ as for the background rectangle:
+\begin{codeexample}[]
+\begin{tikzpicture}[show background grid]
+ \draw (0,0) ellipse (10mm and 5mm);
+\end{tikzpicture}
+\end{codeexample}
+ You can influence the background grid by setting
+ the following style:
+ \begin{itemize}
+ \itemstyle{background grid}
+ This style dictates how the background grid path is drawn. The
+ default is |draw,help lines|.
+\begin{codeexample}[]
+\tikzstyle{background grid}=[thick,draw=red,step=.5cm]
+\begin{tikzpicture}[show background grid]
+ \draw (0,0) ellipse (10mm and 5mm);
+\end{tikzpicture}
+\end{codeexample}
+ This option can be combined with the |framed| option (use the
+ |framed| option first):
+\begin{codeexample}[]
+\tikzstyle{background grid}=[thick,draw=red,step=.5cm]
+\tikzstyle{background rectangle}=[rounded corners,fill=yellow]
+\begin{tikzpicture}[framed,gridded]
+ \draw (0,0) ellipse (10mm and 5mm);
+\end{tikzpicture}
+\end{codeexample}
+ \itemstyle{gridded}
+ This is a shorthand for |show background grid|.
+ \end{itemize}
+ \itemstyle{show background top}
+ This style causes a single line to be drawn at the top of the
+ background rectangle. Normally, the line coincides exactly with the
+ top line of the background rectangle:
+\begin{codeexample}[]
+\tikzstyle{background rectangle}=[fill=yellow]
+\begin{tikzpicture}[framed,show background top]
+ \draw (0,0) ellipse (10mm and 5mm);
+\end{tikzpicture}
+\end{codeexample}
+ The following option allows you to lengthen (or shorten) the line:
+ \begin{itemize}
+ \itemoption{outer frame xsep}|=|\meta{dimension}
+ The \meta{dimension} is added at the left and right side of the
+ line.
+\begin{codeexample}[]
+\tikzstyle{background rectangle}=[fill=yellow]
+\begin{tikzpicture}
+ [framed,show background top,outer frame xsep=1ex]
+ \draw (0,0) ellipse (10mm and 5mm);
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{outer frame ysep}|=|\meta{dimension}
+ This option does not apply to the top line, but to the left and
+ right lines, see below.
+ \itemoption{outer frame sep}|=|\meta{dimension}
+ Sets both the $x$- and $y$-separation.
+\begin{codeexample}[]
+\tikzstyle{background rectangle}=[fill=blue!20]
+\begin{tikzpicture}
+ [outer frame sep=1ex,%
+ show background top,%
+ show background bottom,%
+ show background left,%
+ show background right]
+ \draw (0,0) ellipse (10mm and 5mm);
+\end{tikzpicture}
+\end{codeexample}
+ \end{itemize}
+ You can influence how the line is drawn grid by setting
+ the following style:
+ \begin{itemize}
+ \itemstyle{background top}
+ Default is |draw|.
+\begin{codeexample}[]
+\tikzstyle{background rectangle}=[fill=blue!20]
+\tikzstyle{background top}=[draw=blue!50,line width=1ex]
+\begin{tikzpicture}[framed,show background top]
+ \draw (0,0) ellipse (10mm and 5mm);
+\end{tikzpicture}
+\end{codeexample}
+ \end{itemize}
+ \itemstyle{show background bottom}
+ works like the style for the top line.
+ \itemstyle{show background left}
+ works like the style for the top line.
+ \itemstyle{show background right}
+ works like the style for the top line.
+\end{itemize}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-edges.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-edges.tex
new file mode 100644
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--- /dev/null
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@@ -0,0 +1,260 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\section{To Path Library}
+
+\label{library-to-paths}
+
+\begin{tikzlibrary}{topaths}
+ This library provides predefined to paths for use with the |to|
+ path operation. After loading this package, you can say for instance
+ |to [loop]| to add a loop to a node.
+
+ This library is loaded automatically by \tikzname, so you do not
+ need to load it yourself.
+\end{tikzlibrary}
+
+
+\subsection{Straight Lines}
+
+The following style installs a to path that is simply a straight line
+from the start coordinate to the target coordinate.
+
+\begin{itemize}
+ \itemstyle{line to}
+ causes a straight line to be added to the path upon a |to| or an
+ |edge| operation.
+\begin{codeexample}[]
+\tikz {\draw (0,0) to[line to] (1,0);}
+\end{codeexample}
+\end{itemize}
+
+
+\subsection{Curves}
+
+The |curve to| style causes the to path to be set to a curve. The
+exact way this curve looks can be influenced via a number of options.
+
+\begin{itemize}
+ \itemstyle{curve to}
+ Specifies that the |to path| should be a curve. This curve will
+ leave the start coordinate at a certain angle, which can be
+ specified using the |out| option. It reaches the target coordinate
+ also at a certain angle, which is specified using the |in|
+ option. The control points of the curve are at a certain distance
+ that is computed in different ways, depending on which options are
+ set.
+
+ All of the following options implictly cause the |curve to| style to
+ be installed.
+ \itemoption{out}|=|\meta{angle}
+ The angle at which the curve leaves the start coordinate. If the
+ start coordinate is a node, the start coordinate is the point on the
+ border of the node at the given \meta{angle}. The control point
+ will, thus, lie at a certain distance in the direction \meta{angle}
+ from the start coordinate.
+\begin{codeexample}[]
+\begin{tikzpicture}[out=45,in=135]
+ \draw (0,0) to (1,0)
+ (0,0) to (2,0)
+ (0,0) to (3,0);
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{in}|=|\meta{angle}
+ The angle at which the curve reaches the target coordinate.
+
+ \itemoption{relative}\opt{|=|\meta{true or false}}
+ This option tells \tikzname\ whether the |in| and |out| angles
+ should be considered absolute or relative. Absolute means that an
+ |out| angle of 30$^\circ$ means that the curve leaves the start
+ coordinate at an angle of 30$^\circ$ relative to the paper (unless,
+ of course, further transformations have been installed). A
+ \emph{relative} angle is, by comparison, measured relative to a
+ straight line from the start coordinate to the target
+ coordinate. Thus, a relative angle of 30$^\circ$ means that the
+ curve will bend to the left from the line going straight from the
+ start to the target. For the target, the relative coordinate is
+ measured in the same manner, namely relative to the line going from
+ the start to the target. Thus, an angle of 150$^\circ$ means that
+ the curve will reach target coming slightly from the left.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[out=45,in=135,relative]
+ \draw (0,0) to (1,0)
+ to (2,1)
+ to (2,2);
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}[out=90,in=90,relative]
+ \node [circle,draw] (a) at (0,0) {a};
+ \node [circle,draw] (b) at (1,1) {b};
+ \node [circle,draw] (c) at (2,2) {c};
+
+ \path (a) edge (b)
+ edge (c);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{bend left}\opt{|=|\meta{angle}}
+ This option sets |out=|\meta{angle}|,in=|$180-\meta{angle}$|,relative|. If no
+ \meta{angle} is given, the last given |bend left| or |bend right|
+ angle is used.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[shorten >=1pt,node distance=2cm]
+ \node[state,initial] (q_0) {$q_0$};
+ \node[state] (q_1) [right of=q_0] {$q_1$};
+ \node[state,accepting](q_2) [right of=q_1] {$q_2$};
+
+ \path[->] (q_0) edge node [above] {0} (q_1)
+ edge [loop above] node {1} ()
+ edge [bend left] node [above] {1} (q_2)
+ edge [bend right] node [below] {0} (q_2)
+ (q_1) edge node [above] {1} (q_2);
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \foreach \angle in {0,45,...,315}
+ \node[rectangle,draw=black!50] (\angle) at (\angle:2) {\angle};
+
+ \foreach \from/\to in {0/45,45/90,90/135,135/180,
+ 180/225,225/270,270/315,315/0}
+ \path (\from) edge [->,bend right=22,looseness=0.8] (\to)
+ edge [<-,bend left=22,looseness=0.8] (\to);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{bend right}\opt{|=|\meta{angle}}
+ Works like the |bend left| option, only the bend is to the other side.
+
+ \itemoption{bend angle}|=|\meta{angle}
+ Sets the angle to be used by the |bend left| or |bend right|, but
+ without actually selecting the |curve to| or the |relative|
+ option. This is useful for globally specifying a |bend angle| for a
+ whole picture.
+
+ \itemoption{looseness}|=|\meta{number}
+ This number specifies how ``loose'' the curve will be. In detail,
+ the following happens: \tikzname\ computes the distance between the
+ start and the target coordinate (if the start and/or target
+ coordinate are nodes, the distance is computed between the points on
+ their border). This distance is then multiplied by a fixed factor
+ and also by the factor \meta{number}. The resulting distance, let us
+ call it $d$, is then used as the distance of the control points from
+ the start and target coordinates.
+
+ The fixed factor has been chosen in such a way that if \meta{number}
+ is |1|, which is the default, if the |in| and |out| angles differ by
+ 90$\circ$, then a quarter circle results:
+ \begin{codeexample}[]
+\tikz \draw (0,0) to [out=0,in=-90] (1,1);
+\tikz \draw (0,0) to [out=0,in=-90,looseness=0.5] (1,1);
+ \end{codeexample}
+
+ \itemoption{out looseness}|=|\meta{number}
+ specifies the looseness factor for the out distance only.
+ \itemoption{in looseness}|=|\meta{number}
+ specifies the looseness factor for the in distance only.
+ \itemoption{min distance}|=|\meta{distance}
+ If the computed distance for the start and target coordinates are
+ below \meta{distance}, then \meta{distance} is used instead.
+ \itemoption{max distance}|=|\meta{distance}
+ If the computed distance for the start and target coordinates are
+ above \meta{distance}, then \meta{distance} is used instead.
+ \itemoption{out min distance}|=|\meta{distance}
+ The min distance set only for the start coordinate.
+ \itemoption{out max distance}|=|\meta{distance}
+ The max distance set only for the start coordinate.
+ \itemoption{in min distance}|=|\meta{distance}
+ The min distance set only for the target coordinate.
+ \itemoption{in max distance}|=|\meta{distance}
+ The max distance set only for the target coordinate.
+ \itemoption{distance}|=|\meta{distance}
+ Set the min and max distance to the same value \meta{distance}. Note
+ that this causes any computed distance $d$ to be ignored and
+ \meta{distance} to be used instead.
+\begin{codeexample}[]
+\begin{tikzpicture}[out=45,in=135,distance=1cm]
+ \draw (0,0) to (1,0)
+ (0,0) to (2,0)
+ (0,0) to (3,0);
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{out distance}|=|\meta{distance}
+ sets the min and max out distance.
+ \itemoption{in distance}|=|\meta{distance}
+ sets the min and max in distance.
+ \itemoption{out control}|=|\meta{coordinate}
+ This option causes the \meta{coordinate} to be used as the start
+ control point. All computations of $d$ are ignored. You can use a
+ coordinate like |+(1,0)| to specify a point relative to the start
+ coordinate.
+ \itemoption{in control}|=|\meta{coordinate}
+ This option causes the \meta{coordinate} to be used as the target
+ control point.
+ \itemoption{controls}|=|\meta{coordinate}| and |\meta{coordinate}
+ This option causes the \meta{coordinate}s to be used as control
+ points.
+\begin{codeexample}[]
+\tikz \draw (0,0) to [controls=+(90:1) and +(90:1)] (3,0);
+\end{codeexample}
+\end{itemize}
+
+
+\subsection{Loops}
+
+\begin{itemize}
+ \itemstyle{loop}
+ This style is similar to the |curve to| style, but differs in the
+ following ways: First, the actual target coordinate is ignored and the
+ start coordiante is used as the target coordinate. Thus, it is
+ allowed not to provide any target coordinate, which can be useful
+ with unnamed nodes. Second, the |looseness| is set to |8| and the
+ |min distance| to |5mm|. These settings result in rather nice loops
+ when the opening angle (difference between |in| and |out|) is
+ 30$^\circ$.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node [circle,draw] {a} edge [in=30,out=60,loop] ();
+\end{tikzpicture}
+\end{codeexample}
+ \itemstyle{loop above}
+ Sets the |loop| style and sets in and out angles such that
+ loop is above the node. Furthermore, the |above| option is set,
+ which causes a node label to be placed at the correct position.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node [circle,draw] {a} edge [loop above] node {x} ();
+\end{tikzpicture}
+\end{codeexample}
+ \itemstyle{loop below} works like the previous option.
+ \itemstyle{loop left} works like the previous option.
+ \itemstyle{loop right} works like the previous option.
+ \itemstyle{every loop} This style is installed at the beginning of
+ every loop. By default, it is set to |->,shorten >=1pt|, but feel
+ free to change this.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every loop}=[]
+ \draw (0,0) to [loop above] () to [loop right] ()
+ to [loop below] () to [loop left] ();
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-er.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-er.tex
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+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Entity-Relationship Diagram Drawing Library}
+
+\begin{tikzlibrary}{er}
+ This packages provides styles for drawing entity-relationship
+ diagrams.
+\end{tikzlibrary}
+
+This library is intended to help you in creating E/R-diagrams. It defines
+only very little new styles, but using these style |entity| instead of
+saying |rectangle,draw| makes the code more expressive.
+
+
+\subsection{Entities}
+
+The package defines a simple style for drawing entities:
+
+\begin{itemize}
+ \itemstyle{entity}
+ This style is to be used with nodes that represent entity types. It
+ causes the node's shape to be set to a rectangle that is drawn and
+ whose minimum size and width are set to sensible values.
+
+ Note that this style is called |entity| despite the fact that it is
+ to be used for nodes representing entity \emph{types} (the
+ difference between an entity and an entity type is the same as the
+ difference between an object and a class in object-oriented
+ programming). If this bothers you, feel free to define a style
+ |entity type| instead.
+\begin{codeexample}[]
+\begin{tikzpicture}[node distance=2cm]
+ \node[entity] (sheep) {Sheep};
+ \node[entity] (genome) [right of=sheep] {Genome};
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemstyle{every entity}
+ This stype is envoked by the style |entity|. To change the
+ appearance of entities, you can change this style.
+\begin{codeexample}[]
+\begin{tikzpicture}[node distance=2cm]
+ \tikzstyle{every entity}=[draw=blue!50,fill=blue!20,thick]
+ \node[entity] (sheep) {Sheep};
+ \node[entity] (genome) [right of=sheep] {Genome};
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+
+\subsection{Relationships}
+
+Relationships are drawn using styles that are very similar to the
+styles for entities.
+
+\begin{itemize}
+ \itemstyle{relationship}
+ This style works like |entity|, only it is to be used for
+ relationships. Again, |relationship|s are actually relationship types.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[entity] (sheep) at (0,0) {Sheep};
+ \node[entity] (genome) at (2,0) {Genome};
+ \node[relationship] at (1,1.5) {has}
+ edge (sheep)
+ edge (genome);
+\end{tikzpicture}
+\end{codeexample}
+ \itemstyle{every relationship}
+ works like |every entity|
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every entity}=[fill=blue!20,draw=blue,thick]
+ \tikzstyle{every relationship}=[fill=orange!20,draw=orange,thick,aspect=1.5]
+ \node[entity] (sheep) at (0,0) {Sheep};
+ \node[entity] (genome) at (2,0) {Genome};
+ \node[relationship] at (1,1.5) {has}
+ edge (sheep)
+ edge (genome);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+
+\subsection{Attributes}
+
+\begin{itemize}
+ \itemstyle{attribuate}
+ This style is used to indicate that a node is an attribute. To
+ connect an attribute to its entity, you can use, for example, the
+ |child| command or the |pin| option.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[entity] (sheep) {Sheep}
+ child {node[attribute] {name}}
+ child {node[attribute] {color}};
+\end{tikzpicture}
+\end{codeexample}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every pin edge}=[draw]
+ \node[entity,pin={[attribute]60:name},pin={[attribute]120:color}] {Sheep};
+\end{tikzpicture}
+\end{codeexample}
+ \itemstyle{key attribute}
+ This style is intended for key attributes. By default, the will
+ cause the attribute to be typeset in italics. Typcially, underlining
+ is used instead, but that looks ugly and it is difficult to
+ implement in \TeX.
+ \itemstyle{every attribute}
+ This style is used with every (key) attribute.
+\begin{codeexample}[]
+\begin{tikzpicture}[text depth=1pt]
+ \tikzstyle{every attribute}=[fill=black!20,draw=black]
+ \tikzstyle{every entity}=[fill=blue!20,draw=blue,thick]
+ \tikzstyle{every relationship}=[fill=orange!20,draw=orange,thick,aspect=1.5]
+ \node[entity] (sheep) at (0,0) {Sheep}
+ child {node [key attribute] {name}};
+ \node[entity] (genome) at (2,0) {Genome};
+ \node[relationship] at (1,1.5) {has}
+ edge (sheep)
+ edge (genome);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-mindmaps.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-mindmaps.tex
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+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\section{Mindmap Drawing Library}
+
+\begin{tikzlibrary}{mindmap}
+ This packages provides styles for drawing mindmap diagrams.
+\end{tikzlibrary}
+
+\subsection{Overview}
+
+This library is intended to make the creation of mindmaps easier. A
+\emph{mindmap} is a graphical representation of a concept together
+with related concepts and annotations. Mindmaps are, essentially,
+trees, possibly with a few extra edges added, but they are usually
+drawn in a special way: The root concept is placed in the middle of
+the page and is drawn as a huge circle, ellipse, or cloud. The related
+concepts then ``leave'' this root concept in branch-like tendrils.
+
+The mindmap library of \tikzname\ produces mindmaps that look a bit
+different from the standard mindmaps: While the big root concept is
+still a circle, related concepts are also depicted as (smaller)
+circles. The related concepts are linked to the root concept via
+organic-looking connections. The overall effect is visually rather
+pleasing, but readers may not immediately think of a mindmap when they
+see a picture created with this library.
+
+Although it is not strictly necessary, you will usually create
+mindmaps using \tikzname's tree mechanism and some of the styles and
+macros of the package work best when used inside trees. However, it is
+still possible and sometimes necessary to treat parts of a mindmap as
+a graph with arbitrary edges and this is also possible.
+
+
+\subsection{The Mindmap Style}
+
+Every mindmap should be put in a scope or a picture where the
+|mindmap| style is used. This style installs some internal settings.
+
+\begin{itemize}
+ \itemstyle{mindmap}
+ Use this style with all pictures or at least scopes that contain a
+ mindmap. It installs a whole bunch of settings that are useful for
+ drawing mindmaps.
+\begin{codeexample}[]
+\tikz[mindmap,concept color=red!50]
+ \node [concept] {Root concept}
+ child[grow=right] {node[concept] {Child concept}};
+\end{codeexample}
+ The sizes of concepts are predefined in such a way that a
+ medium-size mindmap will fit on an A4 page (more or less).
+ \itemstyle{every mindmap}
+ This style is included by the |mindmap| style. Change this style to
+ add special settings to your mindmaps.
+\begin{codeexample}[]
+\tikz[large mindmap,concept color=red!50]
+ \node [concept] {Root concept}
+ child[grow=right] {node[concept] {Child concept}};
+\end{codeexample}
+ \itemstyle{large mindmap}
+ This style includes the |mindmap| style, but additionally changes
+ the default size of concepts and of distances so that a medium-sized
+ mindmap will fit on an A3 page (A3 pages are twice as large as A4
+ pages).
+ \itemstyle{huge mindmap}
+ This style causes conepts to be even bigger and it is best used with
+ A2 paper and above.
+\end{itemize}
+
+\subsection{Concepts Nodes}
+
+The basic entities of mindmaps are called \emph{concepts} in
+\tikzname. A concept is a node of style |concept| and it must be
+circular for some of the connection macros to work.
+
+
+\subsubsection{Isolated Concepts}
+
+The following styles influence how isolated concepts are rendered:
+
+\begin{itemize}
+ \itemstyle{concept}
+ This style should be used with all nodes that are concepts, although
+ some styles like |extra concept| install this style automatically.
+
+ Bascially, this style makes the concept node circular and installs a
+ uniform color called |concept color|, see below. Additionally, the
+ style |every concept| is called.
+\begin{codeexample}[]
+\tikz[mindmap,concept color=red!50] \node [concept] {Some concept};
+\end{codeexample}
+ \itemstyle{every concept}
+ In order to change the appearance of concept nodes, you should
+ change this style. Note, however, that the color of a concept should
+ be uniform for some of the connection bar stuff to work, so you
+ should not change the color or the draw/fill state of concepts using
+ this option. It is mostly useful for changing the text color and
+ font.
+ \itemoption{concept color}|=|\meta{color}
+ This option tells \tikzname\ which color should be used for filling
+ and stroking concepts. The difference between this option and just
+ setting |every concept| to the desired color is that this option
+ allows \tikzname\ to keep track of the colors used for
+ concepts. This is important when you \emph{change} the color between
+ two connected concepts. In this case, \tikzname\ can automatically
+ create a shading that provides a smooth transition between the old
+ and the new concept color; we will come back to this in the next
+ section.
+ \itemstyle{extra concept}
+ This style is intended for concepts that are not part of the
+ ``mindmap tree,'' but stand beside it. Typically, they will have a
+ subdued color are be smaller. In order to have these concepts appear
+ in a uniform way and in order to indicate in the code that these
+ concepts are extra, you can use this style.
+\begin{codeexample}[]
+\begin{tikzpicture}[mindmap,concept color=blue!80]
+ \node [concept] {Root concept};
+ \node [extra concept] at (10,0) {extra concept};
+\end{tikzpicture}
+\end{codeexample}
+ \itemstyle{every extra concept}
+ Change this style to change the appearance of extra concepts.
+\end{itemize}
+
+
+\subsubsection{Concepts in Trees}
+
+As pointed out earlier, \tikzname\ assumes that your mindmap is build
+using the |child| facilities of \tikzname. There are numerous options
+that influence how concepts are rendered at the different levels of a
+tree.
+
+\begin{itemize}
+ \itemstyle{root concept}
+ This style is used for the roots of mindmap trees. More precisely,
+ this style is included by the |mindmap| style. Thus, by adding
+ something to this, you can change how the root of a mindmap will be
+ rendered.
+\begin{codeexample}[]
+\tikzstyle{root concept}+=[concept color=blue!80,minimum size=3.5cm]
+\tikz[mindmap] \node [concept] {Root concept};
+\end{codeexample}
+
+ Note that styles like |large mindmap| redefine these styles, so you
+ should add something to this style only inside the picture.
+ \itemstyle{level 1 concept}
+ The |mindmap| style adds this style to the |level 1| style. This
+ means that the first level children of a mindmap tree will use this
+ style.
+\begin{codeexample}[]
+\tikzstyle{root concept}+=[concept color=blue!80]
+\tikzstyle{level 1 concept}+=[concept color=red!50]
+\tikz[mindmap]
+ \node [concept] {Root concept}
+ child[grow=30] {node[concept] {child}}
+ child[grow=0 ] {node[concept] {child}};
+\end{codeexample}
+ \itemstyle{level 2 concept}
+ works like |level 1 concept|, only for second level children.
+ \itemstyle{level 3 concept}
+ works like |level 1 concept|.
+ \itemstyle{level 4 concept}
+ works like |level 1 concept|. Note that there are not fifth and
+ higher level styles, you need to modify |level 5| directly in such
+ cases.
+
+ \itemoption{concept color}|=|\meta{color}
+ We saw already that this option is used to change the color of
+ concepts. We now have a look at its effect when used on child nodes
+ of a concept. Normally, this option simply changes the color of the
+ children. However, when the option is given as an option to the
+ |child| operation (and not to the |node| operation and also not as
+ an option to all children via the |level 1| style), \tikzname\ will
+ smoothly change the concept color from the parent's color to the
+ color of the child concept.
+
+ Here is an example:
+\begin{codeexample}[]
+\tikz[mindmap,concept color=blue!80]
+ \node [concept] {Root concept}
+ child[concept color=red,grow=30] {node[concept] {Child concept}}
+ child[concept color=orange,grow=0] {node[concept] {Child concept}};
+\end{codeexample}
+
+ In order to have all children of a certain level have a different
+ concept color, a tiny bit of magic is needed:
+\begin{codeexample}[]
+\tikzstyle{root concept}+=[concept color=blue]
+\tikzstyle{level 1 concept}+=[set style={{every child}=[concept color=blue!50]}]
+\tikz[mindmap,text=white]
+ \node [concept] {Root concept}
+ child[grow=30] {node[concept] {child}}
+ child[grow=0 ] {node[concept] {child}};
+\end{codeexample}
+\end{itemize}
+
+\subsection{Connecting Concepts}
+
+\subsubsection{Simple Connections}
+
+The easiest way to connect two concepts is to draw a line between
+them. In order to give such lines a consistent appearance, it is
+recommendable to use the following style when drawing such lines:
+
+\begin{itemize}
+ \itemstyle{concept connection}
+ This style can be used for lines between two concepts. Feel free to
+ redefine this style.
+\end{itemize}
+
+A problem arises when you need to connect concepts after the main
+mindmap has been drawn. In this case you will want the connection
+lines to lie \emph{behind} the main mindmap. However, you can draw the
+lines only after the coordinates of the concepts have been
+determined. In this case you should place the connecting lines on a
+background layer as in the following example:
+
+\begin{codeexample}[]
+\tikzstyle{root concept}+=[concept color=blue!20,minimum size=2cm]
+\tikzstyle{level 1 concept}+=[sibling angle=45]
+\begin{tikzpicture}[mindmap]
+ \node [concept] {Root concept}
+ [clockwise from=45]
+ child { node[concept] (c1) {child}}
+ child { node[concept] (c2) {child}}
+ child { node[concept] (c3) {child}};
+ \begin{pgfonlayer}{background}
+ \draw [concept connection] (c1) edge (c2)
+ edge (c3)
+ (c2) edge (c3);
+ \end{pgfonlayer}
+\end{tikzpicture}
+\end{codeexample}
+
+
+\subsubsection{The Circle Connection Bar Snake}
+
+Instead of a simple line between two concepts, you can also add a bar
+between the two nodes that has slightly organic ends. These bars are
+also used by default as the edges from parents in the mindmap tree.
+
+For the drawing of the bars a special snake is used, which is defined
+in the mindmap library:
+
+\begin{snake}{circle connection bar}
+ This snake can be used to connect two circles. The start of the
+ snake should lie on the border of the first circle, the end should
+ lie on the border of the second circle. The following two macros should be
+ initialized with the sizes of the circles:
+ \begin{itemize}
+ \item |\pgfsnakecirclestartradius|
+ \item |\pgfsnakecircleendradius|
+ \end{itemize}
+ Furthermore, the following two macros influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentamplitude|
+ \item |\pgfsnakesegmentangle|
+ \end{itemize}
+ The snake itself will be a path that starts on the border of the
+ first circle at the specified angle relative to the line connecting
+ the centers of the circles. The path then changes into a rectangle
+ whose thickness is given by the amplitude. Finally, the path ends
+ with the same angles on the second circle.
+
+ Here is an example that should make this clearer:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \fill[blue!20] (0,0) circle (1cm);
+ \fill[red!20] (2.5,0) circle (.5cm);
+
+ \def\pgfsnakecirclestartradius{1cm}
+ \def\pgfsnakecircleendradius{.5cm}
+ \def\pgfsnakesegmentamplitude{2mm}
+ \def\pgfsnakesegmentangle{30}
+
+ \filldraw [draw=red,fill=black,snake=circle connection bar] (1,0) -- (2,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ As can be seen, the snake consists of three parts and is not really
+ useful for drawing. However, if you fill the snake only and if you
+ use the same color as for the circles, the result is better.
+\begin{codeexample}[]
+\begin{tikzpicture}[blue!50]
+ \fill (0,0) circle (1cm);
+ \fill (2.5,0) circle (.5cm);
+
+ \def\pgfsnakecirclestartradius{1cm}
+ \def\pgfsnakecircleendradius{.5cm}
+ \def\pgfsnakesegmentamplitude{2mm}
+ \def\pgfsnakesegmentangle{30}
+
+ \fill [snake=circle connection bar] (1,0) -- (2,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ In the above example you may notice the small white line between the
+ circles and the snake. This is due to rounding
+ errors. Unfortunately, for larger distances, there errors can
+ accumulate quite strongly, especially since \tikzname\ and \TeX\ are
+ not very good at computing square roots. For this reason, it is a
+ good idea to make the circles slightly larger to cover up such
+ problems. When using nodes of shape |circle|, you can just add the
+ |draw| option with a |line width| or one or two points (for very
+ large distances you may need line width up to 4pt).
+\begin{codeexample}[]
+\begin{tikzpicture}[blue!50]
+ \fill (0,0) circle (1cm+1pt);
+ \fill (2.4,0) circle (.5cm+1pt);
+
+ \def\pgfsnakecirclestartradius{1cm}
+ \def\pgfsnakecircleendradius{.5cm}
+ \def\pgfsnakesegmentamplitude{2mm}
+ \def\pgfsnakesegmentangle{30}
+
+ \fill [snake=circle connection bar] (1,0) -- (1.9,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ Note the slightly strange |outer sep=0pt|. This is needed so that
+ the snakes being on the border of the filled circle, not on the
+ border of the stroked circle (which is slightly larger and this
+ slightly larger size is exactly what we wish to use to cover up the
+ rounding errors).
+\end{snake}
+
+
+
+\subsubsection{The Circle Connection Bar To-Path}
+
+The circle connection bar snake is a bit complicated to
+use. Especially specifying the radii is quite bothersome (the
+amplitude and the angle can be set once and for all). For this reason,
+the mindmap library defines a special to-path, that performs the
+necessary computations for you.
+
+\begin{itemize}
+ \itemstyle{circle connection bar}
+ This style installs a rather involved to-path. Unlike normal
+ to-paths, this path requires that the start and the target of the
+ to-path are named nodes of shape |circle| -- if this is not the case,
+ this path will produce errors.
+
+ Assuming that the start and the target are circles, the to-path will
+ first compute the radii of these circles (by measuring the distance
+ from the |center| anchor to some anchor on the border) and will set
+ the |\pgfsnakecirlce...| macros accordingly. Next, the |fill| option
+ is set to the |concept color| while |draw=none| is set. The snake is
+ set to |circle conncetion bar|. Finally, the following style is
+ included:
+ \begin{itemize}
+ \itemstyle{every circle connection bar}
+ Redefine this sytle to change the appearance of circle connection
+ bar to-paths.
+ \end{itemize}
+\begin{codeexample}[]
+\begin{tikzpicture}[concept color=blue!50,blue!50,outer sep=0pt]
+ \node (n1) at (0,0) [circle,minimum size=2cm,fill,draw,thick] {};
+ \node (n2) at (2.5,0) [circle,minimum size=1cm,fill,draw,thick] {};
+
+ \path (n1) to[circle connection bar] (n2);
+\end{tikzpicture}
+\end{codeexample}
+ Note that it is not a good idea to have more than one |to| operation
+ together this the option |circle connection bar| in a single
+ |\path|. Use the |edge| operation, instead, for creating multiple
+ connections and this operation creates a new scope for each edge.
+\end{itemize}
+
+In a mindmap we sometimes want colors to change from one concept color
+to another. Then, the connection bar should, ideally, consist of a
+smooth transition between these two colors. Getting this right using
+shadings is a bit tricky if you try this ``by hand,'' so the mindmap
+library provides a special option for facilitating this procedure.
+
+\begin{itemize}
+ \itemoption{circle connection bar switch color}|=from (|\meta{first
+ color}|) to (|\meta{second color}|)|
+ This style works similarly to the |circle connection bar|. The only
+ difference is that instead of filling the path with a single color a
+ shading is used.
+\begin{codeexample}[]
+\begin{tikzpicture}[outer sep=0pt]
+ \node (n1) at (0,0) [circle,minimum size=2cm,fill,draw,thick,red] {};
+ \node (n2) at (30:2.5) [circle,minimum size=1cm,fill,draw,thick,blue] {};
+
+ \path (n1) to[circle connection bar switch color=from (red) to (blue)] (n2);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+\subsubsection{Tree Edges}
+
+Most of the time, concepts in a mindmap are connected automatically
+when the mindmap is build as a tree. The reason is that the |mindmap|
+installs a |circle connection bar| path as the edge from parent
+path. Also, the |mindmap| option takes care of things like setting the
+correct |draw| and |outer sep| settings and some other stuff.
+
+In detail, the |mindmap| option sets the |edge from parent path| to a
+path that uses the to-path |circle connection bar| to connect the parent node
+and the child node. The |concept color| option (locally) changes this
+by using |circle connection bar switch color| instead with the
+from-color set to the old (parent's) concept color and the to-color
+set to the new (child's) concept color. This menas that when you
+provide the |concept color| option to a |child| command, the color
+will change from the parent's concept color to the specified color.
+
+Here is an example of a tree build in this way:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \path[mindmap,concept color=black,text=white]
+ node[concept] {Computer Science}
+ [clockwise from=0]
+ child[concept color=green!50!black] {
+ node[concept] {practical}
+ [clockwise from=90]
+ child { node[concept] {algorithms} }
+ child { node[concept] {data structures} }
+ child { node[concept] {pro\-gramming languages} }
+ child { node[concept] {software engineer\-ing} }
+ }
+ child[concept color=blue] {
+ node[concept] {applied}
+ [clockwise from=-30]
+ child { node[concept] {databases} }
+ child { node[concept] {WWW} }
+ }
+ child[concept color=red] { node[concept] {technical} }
+ child[concept color=orange] { node[concept] {theoretical} };
+\end{tikzpicture}
+\end{codeexample}
+
+
+
+\subsection{Adding Annotations}
+
+An \emph{annotation} is some text outside a mindmap that, unlike an
+extra concept, simply explains something in the mindmap. The following
+style is mainly intended to help readers of the code see that a node
+in an annotation node.
+
+\begin{itemize}
+ \itemstyle{annotation}
+ This style indicates that a node is an annotation node. It includes
+ the style |every annotation|, which allows you to change this style
+ in a convenient fashion.
+\begin{codeexample}[]
+\tikzstyle{every annotation}=[fill=red!20]
+\begin{tikzpicture}[mindmap,concept color=blue!80]
+ \node [concept] (root) {Root concept};
+
+ \node [annotation,right] at (root.east)
+ {The root concept is, in general, the most important concept.};
+\end{tikzpicture}
+\end{codeexample}
+ \itemstyle{every annotation}
+ This style is included by |annotation|.
+\end{itemize}
+
+
+\subsection{Examples}
+
+The following pictures show examples of more complicated mindmaps that
+have been created using the mindmap library. Note that these mindmaps
+should be printed on A1 paper.
+
+\medskip
+\noindent
+\pgfimage[width=\textwidth]{pgfmanual-mindmap-1}
+
+\medskip
+\noindent
+\pgfimage[width=\textwidth]{pgfmanual-mindmap-2}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-patterns.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-patterns.tex
new file mode 100644
index 00000000000..2f1d4eb16de
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-patterns.tex
@@ -0,0 +1,38 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Pattern Library}
+\label{section-library-patterns}
+
+\begin{pgflibrary}{patterns}
+ The package defines patterns for filling areas.
+\end{pgflibrary}
+
+\begin{tabular}{ll}
+ \emph{Pattern name} & \emph{Example} \\
+ \patternindex{horizontal lines} \\
+ \patternindex{vertical lines} \\
+ \patternindex{north east lines} \\
+ \patternindex{north west lines} \\
+ \patternindex{grid} \\
+ \patternindex{crosshatch} \\
+ \patternindex{dots} \\
+ \patternindex{crosshatch dots} \\
+ \patternindex{fivepointed stars} \\
+ \patternindex{sixpointed stars} \\
+ \patternindex{bricks}
+\end{tabular}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-petri.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-petri.tex
new file mode 100644
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--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-petri.tex
@@ -0,0 +1,264 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Petri-Net Drawing Library}
+
+\begin{tikzlibrary}{petri}
+ This packages provides shapes and styles for drawing Petri nets.
+\end{tikzlibrary}
+
+
+
+\subsection{Places}
+
+The package defines a style for drawing places of Petri nets.
+
+\begin{itemize}
+ \itemstyle{place}
+ This style indicates that a node is a place of a Petri net. Usually,
+ the text of the node should be empty since places do not contain any
+ text. You should use the |label| option to add text outside the node
+ like its name or its capacity. You should use the |tokens| options,
+ explained in Section~\ref{section-tokens}, to add tokens inside the
+ place.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place,label=above:$p_1$,tokens=2] (p1) {};
+ \node[place,label=below:$p_2\ge1$,right of=p1] (p2) {};
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemstyle{every place}
+ This stype is envoked by the style |place|. To change the
+ appearance of places, you can change this style.
+\begin{codeexample}[]
+\tikzstyle{every place}=[draw=blue,fill=blue!20,thick,minimum size=9mm]
+\begin{tikzpicture}
+ \node[place,tokens=7,label=above:$p_1$] (p1) {};
+ \node[place,structured tokens={3,2,9},
+ label=below:$p_2\ge1$,right of=p1] (p2) {};
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+
+\subsection{Transitions}
+
+Transitions are also nodes. They should be drawn using the following
+style:
+
+\begin{itemize}
+ \itemstyle{transition}
+ This style indicates that a node is a transition. As for places, the
+ text of a transition should be empty and the |label| option should
+ be used for adding labels.
+
+ To connect a transition to places, you can use the |edge| command as
+ in the following example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[node distance=2cm]
+ \node[place,tokens=2,label=above:$p_1$] (p1) {};
+ \node[place,label=above:$p_2\ge1$,right of=p1] (p2) {};
+
+ \node[transition,below right of=p1,label=below:$t_1$] {}
+ edge[pre] (p1)
+ edge[post] node[auto] {2} (p2);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemstyle{every transition}
+ This style is envoked by the style |transition|.
+
+ \itemstyle{pre}
+ This style can be used with paths leading \emph{from} a transition
+ \emph{to} a place to indicate that the place is in the pre-set of
+ the transition. By default, this style is |<-,shorten <=1pt|, but
+ feel free to redefine it.
+
+ \itemstyle{post}
+ This style is also used with paths leading \emph{from} a transition
+ \emph{to} a place, but this time the place is in the post-set of
+ the transition. Again, feel free to redefine it.
+
+ \itemstyle{pre and post}
+ This style is to be used to indicate that a place is both in the
+ pre- and post-set of a transition.
+\end{itemize}
+
+
+\subsection{Tokens}
+\label{section-tokens}
+
+Interestingly, the most complicated aspect of drawing Petri nets in
+\tikzname\ turns out to be the placement of tokens.
+
+Let us start with a single token. They are also nodes and there is a
+simple style for typesetting them.
+
+
+\begin{itemize}
+ \itemstyle{token}
+ This style indicates that a node is a token. By default, this causes
+ the node to be a small black circle. Unlike places and transitions,
+ it \emph{does} make sense to provide text for the token node. Such
+ text will be typeset in a tiny font and in white on black
+ (naturally, you can easily change this by setting the style
+ |every token|).
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place,label=above:$p_1$] (p1) {};
+ \node[token] at (p1) {};
+
+ \node[place,label=above:$p_2$,right of=p1] (p2) {};
+ \node[token] at (p2) {$y$};
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+In the above example, it is bothersome that we need an extra command
+for the token node. Worse, when we have \emph{two} tokens on a node,
+it is difficult to place both nodes inside the node without overlap.
+
+The Petri net library offers a solution to this problem: The
+|children are tokens| style.
+
+
+\begin{itemize}
+ \itemstyle{children are tokens}
+ The idea behind this style is to use trees mechanism for placing
+ tokens. Every token lying on a place is treated as a child of the
+ node. Normally this would have the effect that the tokens are placed
+ below the place and they would be connected to the place by an
+ edge. The |children are tokens| style, however, redefines the growth
+ function of trees such that it places the children next to each
+ other inside (or, rather, on top) of the place node. Additionally,
+ the edge from the parent node is not drawn.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place,label=above:$p_1$] {}
+ [children are tokens]
+ child {node [token] {1}}
+ child {node [token] {2}}
+ child {node [token] {3}};
+\end{tikzpicture}
+\end{codeexample}
+
+ In detail, what happens is the following: Tree growth functions tell
+ \tikzname\ where it should place the children of nodes. These
+ functions get passed the number of children that a node has an the
+ number of the child that should be placed. The special tree growth
+ function for tokens has a special mapping for each possible number
+ of children up to nine children. This mapping decides for each child
+ where it should be placed on top of the place. For example, a single
+ child is placed directly on top of the place. Two children are
+ placed next to each other, separated by the |token distance|. Three
+ children are placed in a triangle whose side lengths are
+ |token distance|; and so on up to nine tokens. If you wish to place
+ more than nice tokens on a place, you will have to write your own
+ placement code.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place,label=above:$p_2$] {}
+ [children are tokens]
+ child {node [token] {1}}
+ child {node [token,fill=red] {2}}
+ child {node [token,fill=red] {2}}
+ child {node [token] {1}};
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{token distance}|=|\meta{distance}
+ This specifies the distance between the centers of the tokens in the
+ arrangements of the option |children are tokens|.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place,label=above:$p_3$] {}
+ [children are tokens,token distance=1.1ex]
+ child {node [token] {}}
+ child {node [token,red] {}}
+ child {node [token,blue] {}}
+ child {node [token] {}};
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+The |children are tokens| options gives you a lot of flexibility, but
+it is a bit cumbersome to use. For this reason there are some options
+that help in standard situations. They all use |children are tokens|
+internally, so any change to, say, the |every tokens| style will
+affect how these options depict tokens.
+
+\begin{itemize}
+ \itemoption{tokens}|=|\meta{number}
+ This option is given to a |place| node, not to a |token| node. The
+ effect of this option is to add \meta{number} many child nodes to
+ the place, each having the style |token|. Thus, the following two
+ pieces of codes have the same effect:
+\begin{codeexample}[]
+\tikz
+ \node[place] {}
+ [children are tokens]
+ child {node [token] {}}
+ child {node [token] {}}
+ child {node [token] {}};
+\tikz
+ \node[place,tokens=3] {};
+\end{codeexample}
+ It is legal to say |tokens=0|, no tokens are drawn in this
+ case. This option does not handle ten or more tokens correctly. If
+ you need this many tokens, you will have to program your own code.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every place}=[minimum size=9mm]
+
+ \foreach \x/\y/\tokennumber in {0/2/1,1/2/2,2/2/3,
+ 0/1/4,1/1/5,2/1/6,
+ 0/0/7,1/0/8,2/0/9}
+ \node [place,tokens=\tokennumber] at (\x,\y) {};
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{colored tokens}|=|\meta{color list}
+ This option, which must also be given when a place node is being
+ created, gets a list of colors as parameter. It will then add as
+ many tokens to the place are in this list, each colored with the
+ corresponding color in the list.
+\begin{codeexample}[]
+\tikz \node[place,colored tokens={black,black,red,blue}] {};
+\end{codeexample}
+ \itemoption{structured tokens}|=|\meta{token texts}
+ This option, which must again be passed to a place, gets a list
+ texts for tokens. For each text, another token will be added to the place.
+\begin{codeexample}[]
+\tikz \node[place,structured tokens={$x$,$y$,$z$}] {};
+\end{codeexample}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every place}=[minimum size=9mm]
+
+ \foreach \x/\y/\tokennumber in {0/2/1,1/2/2,2/2/3,
+ 0/1/4,1/1/5,2/1/6,
+ 0/0/7,1/0/8,2/0/9}
+ \node [place,structured tokens={1,...,\tokennumber}] at (\x,\y) {};
+\end{tikzpicture}
+\end{codeexample}
+ If you use lots of structured tokens, consider redefining the
+ |every token| style so that the tokens are larger.
+\end{itemize}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-plot-handlers.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-plot-handlers.tex
new file mode 100644
index 00000000000..efe70ab6975
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-plot-handlers.tex
@@ -0,0 +1,319 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Plot Handler Library}
+\label{section-library-plothandlers}
+
+\begin{pgflibrary}{plothandlers}
+ This library packages defines additional plot handlers, see
+ Section~\ref{section-plot-handlers} for an introduction to plot
+ handlers. The additional handlers are described in the following.
+
+ This library is loaded automatically by \tikzname.
+\end{pgflibrary}
+
+
+\subsection{Curve Plot Handlers}
+
+\begin{command}{\pgfplothandlercurveto}
+ This handler will issue a |\pgfpathcurveto| command for each point of
+ the plot, \emph{except} possibly for the first. As for the line-to
+ handler, what happens with the first point can be specified using
+ |\pgfsetmovetofirstplotpoint| or |\pgfsetlinetofirstplotpoint|.
+
+ Obviously, the |\pgfpathcurveto| command needs, in addition to the
+ points on the path, some control points. These are generated
+ automatically using a somewhat ``dumb'' algorithm: Suppose you have
+ three points $x$, $y$, and $z$ on the curve such that $y$ is between
+ $x$ and $z$:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
+ \pgfplothandlercurveto
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{.5cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+
+ In order to determine the control points of the curve at the point
+ $y$, the handler computes the vector $z-x$ and scales it by the
+ tension factor (see below). Let us call the resulting vector
+ $s$. Then $y+s$ and $y-s$ will be the control points around $y$. The
+ first control point at the beginning of the curve will be the
+ beginning itself, once more; likewise the last control point is the
+ end itself.
+\end{command}
+
+\begin{command}{\pgfsetplottension\marg{value}}
+ Sets the factor used by the curve plot handlers to determine the
+ distance of the control points from the points they control. The
+ higher the curvature of the curve points, the higher this value
+ should be. A value of $1$ will cause four points at quarter
+ positions of a circle to be connected using a circle. The default is
+ $0.5$.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
+ \pgfsetplottension{0.75}
+ \pgfplothandlercurveto
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgfplothandlerclosedcurve}
+ This handler works like the curve-to plot handler, only it will
+ add a new part to the current path that is a closed curve through
+ the plot points.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
+ \pgfplothandlerclosedcurve
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\subsection{Comb Plot Handlers}
+
+There are three ``comb'' plot handlers. There name stems from the fact
+that the plots they produce look like ``combs'' (more or less).
+
+\begin{command}{\pgfplothandlerxcomb}
+ This handler converts each point in the plot stream into a line from
+ the $y$-axis to the point's coordinate, resulting in a ``horizontal
+ comb.''
+
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
+ \pgfplothandlerxcomb
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgfplothandlerycomb}
+ This handler converts each point in the plot stream into a line from
+ the $x$-axis to the point's coordinate, resulting in a ``vertical
+ comb.''
+
+ This handler is useful for creating ``bar diagrams.''
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
+ \pgfplothandlerycomb
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfplothandlerpolarcomb}
+ This handler converts each point in the plot stream into a line from
+ the origin to the point's coordinate.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
+ \pgfplothandlerpolarcomb
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\subsection{Mark Plot Handler}
+
+\label{section-plot-marks}
+
+\begin{command}{\pgfplothandlermark\marg{mark code}}
+ This command will execute the \meta{mark code} for some points of the
+ plot, but each time the coordinate transformation matrix will be
+ setup such that the origin is at the position of the point to be
+ plotted. This way, if the \meta{mark code} draws a little circle
+ around the origin, little circles will be drawn at some point of the
+ plot.
+
+ By default, a mark is drawn at all points of the plot. However, two
+ parameters $r$ and $p$ influence this. First, only every $r$th mark
+ is drawn. Second, the first mark drawn is the $p$th. These
+ parameters can be influenced using the commands below.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
+ \pgfplothandlermark{\pgfpathcircle{\pgfpointorigin}{4pt}\pgfusepath{stroke}}
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+
+ Typically, the \meta{code} will be |\pgfuseplotmark{|\meta{plot mark
+ name}|}|, where \meta{plot mark name} is the name of a
+ predefined plot mark.
+\end{command}
+
+\begin{command}{\pgfsetplotmarkrepeat\marg{repeat}}
+ Sets the $r$ parameter to \meta{repeat}, that is, only every $r$th
+ mark will be drawn.
+\end{command}
+
+\begin{command}{\pgfsetplotmarkphase\marg{phase}}
+ Sets the $p$ parameter to \meta{phase}, that is, the first mark to
+ be drawn is the $p$th, followed by the $(p+r)$th, then the
+ $(p+2r)$th, and so on.
+\end{command}
+
+\begin{command}{\pgfplothandlermarklisted\marg{mark code}\marg{index list}}
+ This command works similar to the previous one. However, marks will
+ only be placed at those indices in the given \meta{index list}. The
+ syntax for the list is the same as for the |\foreach| statement. For
+ example, if you provide the list |1,3,...,25|, a mark will be placed
+ only at every second point. Similarly, |1,2,4,8,16,32| yields marks
+ only at those points that are powers of two.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
+ \pgfplothandlermarklisted
+ {\pgfpathcircle{\pgfpointorigin}{4pt}\pgfusepath{stroke}}
+ {1,3}
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfuseplotmark\marg{plot mark name}}
+ Draws the given \meta{plot mark name} at the origin. The \meta{plot
+ mark name} must previously have been declared using
+ |\pgfdeclareplotmark|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
+ \pgfplothandlermark{\pgfuseplotmark{pentagon}}
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfdeclareplotmark\marg{plot mark name}\marg{code}}
+ Declares a plot mark for later used with the |\pgfuseplotmark|
+ command.
+
+\begin{codeexample}[]
+\pgfdeclareplotmark{my plot mark}
+ {\pgfpathcircle{\pgfpoint{0cm}{1ex}}{1ex}\pgfusepathqstroke}
+\begin{tikzpicture}
+ \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
+ \pgfplothandlermark{\pgfuseplotmark{my plot mark}}
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgfsetplotmarksize\marg{dimension}}
+ This command sets the \TeX\ dimension |\pgfplotmarksize| to
+ \meta{dimension}. This dimension is a ``recommendation'' for plot
+ mark code at which size the plot mark should be drawn; plot mark
+ code may choose to ignore this \meta{dimension} altogether. For
+ circles, \meta{dimension} should be the radius, for other shapes it
+ should be about half the width/height.
+
+ The predefined plot marks all take this dimension into account.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[gray] (0,0) node {x} (1,1) node {y} (2,.5) node {z};
+ \pgfsetplotmarksize{1ex}
+ \pgfplothandlermark{\pgfuseplotmark{*}}
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{0cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{textoken}{\pgfplotmarksize}
+ A \TeX\ dimension that is a ``recommendation'' for the size of plot
+ marks.
+\end{textoken}
+
+The following plot marks are predefined (the filling color has been
+set to yellow):
+
+\medskip
+\begin{tabular}{lc}
+ \plotmarkentry{*}
+ \plotmarkentry{x}
+ \plotmarkentry{+}
+\end{tabular}
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-plot-marks.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-plot-marks.tex
new file mode 100644
index 00000000000..19db2308f44
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-plot-marks.tex
@@ -0,0 +1,53 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Plot Mark Library}
+
+\begin{pgflibrary}{plotmarks}
+ This library defines a number of plot marks.
+\end{pgflibrary}
+
+This library defines the following plot marks in
+addition to |*|, |x|, and |+| (the filling color has been set to a
+dark yellow):
+
+{
+\catcode`\|=12
+\medskip
+\begin{tabular}{lc}
+ \plotmarkentry{-}
+ \index{*vbar@\protect\texttt{\protect\myvbar} plot mark}%
+ \index{Plot marks!*vbar@\protect\texttt{\protect\myvbar}}
+ \texttt{\char`\\pgfuseplotmark\char`\{\declare{|}\char`\}} &
+ \tikz\draw[color=black!25] plot[mark=|,mark options={fill=yellow,draw=black}]
+ coordinates {(0,0) (.5,0.2) (1,0) (1.5,0.2)};\\
+ \plotmarkentry{o}
+ \plotmarkentry{asterisk}
+ \plotmarkentry{star}
+ \plotmarkentry{oplus}
+ \plotmarkentry{oplus*}
+ \plotmarkentry{otimes}
+ \plotmarkentry{otimes*}
+ \plotmarkentry{square}
+ \plotmarkentry{square*}
+ \plotmarkentry{triangle}
+ \plotmarkentry{triangle*}
+ \plotmarkentry{diamond}
+ \plotmarkentry{diamond*}
+ \plotmarkentry{pentagon}
+ \plotmarkentry{pentagon*}
+\end{tabular}
+}
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-shapes.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-shapes.tex
new file mode 100644
index 00000000000..91b717f13ac
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-shapes.tex
@@ -0,0 +1,185 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Shape Library}
+
+\begin{pgflibrary}{shapes}
+ This library packages defines additional shapes, which are
+ described in the following.
+\end{pgflibrary}
+
+
+\begin{shape}{circle split}
+ This shape is a multi-part shape consisting of a circle with a line
+ in the middle. The upper part is the main part (the |text| part),
+ the lower part is the |lower| part.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node [circle split,draw,double,fill=red!20]
+ {
+ $q_1$
+ \nodepart{lower}
+ $00$
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+ The shape inherits all anchors from the |circle| shape and defines
+ the |lower| anchor in addition. See also the
+ following figure:
+\begin{codeexample}[]
+\Huge
+\begin{tikzpicture}
+ \node[name=s,shape=circle split,style=shape example] {text\nodepart{lower}lower};
+ \foreach \anchor/\placement in
+ {north west/above left, north/above, north east/above right,
+ west/left, center/below, east/right,
+ mid west/right, mid/above, mid east/left,
+ base west/left, base/below, base east/right,
+ south west/below left, south/below, south east/below right,
+ text/left, lower/left, 130/above}
+ \draw[shift=(s.\anchor)] plot[mark=x] coordinates{(0,0)}
+ node[\placement] {\scriptsize\texttt{(s.\anchor)}};
+\end{tikzpicture}
+\end{codeexample}
+\end{shape}
+
+\begin{shape}{cross out}
+ This shape ``crosses out'' the node. Its foreground path are simply
+ two diagonal lines that between the corners of the node's bounding
+ box. Here is an example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \node [cross out,draw=red] at (1.5,1) {cross out};
+\end{tikzpicture}
+\end{codeexample}
+
+ A useful application is inside text as in the following example:
+\begin{codeexample}[]
+Cross \tikz[baseline] \node [cross out,draw,anchor=text] {me}; out!
+\end{codeexample}
+
+ This shape inherits all anchors from the |rectangle| shape, see also
+ the following figure:
+\begin{codeexample}[]
+\Huge
+\begin{tikzpicture}
+ \node[name=s,shape=cross out,style=shape example] {cross out\vrule width 1pt height 2cm};
+ \foreach \anchor/\placement in
+ {north west/above left, north/above, north east/above right,
+ west/left, center/above, east/right,
+ mid west/right, mid/above, mid east/left,
+ base west/left, base/below, base east/right,
+ south west/below left, south/below, south east/below right,
+ text/left, 10/right, 130/above}
+ \draw[shift=(s.\anchor)] plot[mark=x] coordinates{(0,0)}
+ node[\placement] {\scriptsize\texttt{(s.\anchor)}};
+\end{tikzpicture}
+\end{codeexample}
+\end{shape}
+
+
+\begin{shape}{diamond}
+ This shape is a diamond tightly fitting the text box. The ratio
+ between width and height is 1 by default, but can be changed by
+ setting the shape aspect ratio (using the |aspect| option of
+ \tikzname). The following figure shows the anchors this
+ shape defines; the anchors |10| and |130| are example of border anchors.
+\begin{codeexample}[]
+\Huge
+\begin{tikzpicture}
+ \node[name=s,shape=diamond,style=shape example] {Diamond\vrule width 1pt height 2cm};
+ \foreach \anchor/\placement in
+ {north west/above left, north/above, north east/above right,
+ west/left, center/above, east/right,
+ mid/above,
+ base/below,
+ south west/below left, south/below, south east/below right,
+ text/left, 10/right, 130/above}
+ \draw[shift=(s.\anchor)] plot[mark=x] coordinates{(0,0)}
+ node[\placement] {\scriptsize\texttt{(s.\anchor)}};
+\end{tikzpicture}
+\end{codeexample}
+\end{shape}
+
+\begin{shape}{ellipse}
+ This shape is an ellipse tightly fitting the text box, if no inner
+ separation is given. The following figure shows the anchors this
+ shape defines; the anchors |10| and |130| are example of border anchors.
+\begin{codeexample}[]
+\Huge
+\begin{tikzpicture}
+ \node[name=s,shape=ellipse,style=shape example] {Ellipse\vrule width 1pt height 2cm};
+ \foreach \anchor/\placement in
+ {north west/above left, north/above, north east/above right,
+ west/left, center/above, east/right,
+ mid west/right, mid/above, mid east/left,
+ base west/left, base/below, base east/right,
+ south west/below left, south/below, south east/below right,
+ text/left, 10/right, 130/above}
+ \draw[shift=(s.\anchor)] plot[mark=x] coordinates{(0,0)}
+ node[\placement] {\scriptsize\texttt{(s.\anchor)}};
+\end{tikzpicture}
+\end{codeexample}
+\end{shape}
+
+\begin{shape}{forbidden sign}
+ This shape places the node inside a circle with a diagonal from the
+ lower left to the upper right added. The circle is part of the
+ background, the diagonal line part of the foreground path; thus, the
+ diagonal line is on top of the text.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node [forbidden sign,line width=1ex,draw=red,fill=white] {Smoking};
+\end{tikzpicture}
+\end{codeexample}
+
+ The shape inherits all anchors from the |circle| shape, see also the
+ following figure:
+\begin{codeexample}[]
+\Huge
+\begin{tikzpicture}
+ \node[name=s,shape=forbidden sign,style=shape example] {Forbidden\vrule width 1pt height 2cm};
+ \foreach \anchor/\placement in
+ {north west/above left, north/above, north east/above right,
+ west/left, center/above, east/right,
+ mid west/right, mid/above, mid east/left,
+ base west/left, base/below, base east/right,
+ south west/below left, south/below, south east/below right,
+ text/left, 10/right, 130/above}
+ \draw[shift=(s.\anchor)] plot[mark=x] coordinates{(0,0)}
+ node[\placement] {\scriptsize\texttt{(s.\anchor)}};
+\end{tikzpicture}
+\end{codeexample}
+\end{shape}
+
+
+\begin{shape}{strike out}
+ This shape is idential to the |cross out| shape, only its foreground
+ path consists of a single line from the lower left to the upper
+ right.
+
+\begin{codeexample}[]
+Strike \tikz[baseline] \node [strike out,draw,anchor=text] {me}; out!
+\end{codeexample}
+
+ See the |cross out| shape for the anchors.
+\end{shape}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-snakes.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-snakes.tex
new file mode 100644
index 00000000000..57876001bff
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-snakes.tex
@@ -0,0 +1,270 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Snake Library}
+
+\label{section-library-snakes}
+
+\begin{pgflibrary}{snakes}
+ This library package defines basic
+ snakes. Section~\ref{section-tikz-snakes} explains how snakes are
+ used in \tikzname, Section~\ref{section-base-snakes} explains how
+ new snakes can be defined.
+
+ The snakes are influenced by the current values of parameters like
+ |\pgfsnakesegmentamplitude|. Only this parameter and
+ |\pgfsnakesegmentlength| are proper \TeX\ dimensions, all other
+ parameters are \TeX\ macros.
+
+ In \tikzname, each parameter can be set using an option having the
+ parameters name minus the |\pgfsnake| part.
+\end{pgflibrary}
+
+
+\begin{snake}{bent}
+ This snake adds a slightly bent line from the start to the
+ target. The amplitude of the bent is given by the segement amplitude
+ (and amplitude of zero gives a straight line).
+ \begin{itemize}
+ \item |\pgfsnakesegmentamplitude|
+ determines the amplitude of the bent.
+ \item |\pgfsnakesegmentaspect|
+ determines how tight the bent is. A good value is around |0.3|.
+ \end{itemize}
+\begin{codeexample}[]
+\begin{tikzpicture}[segment aspect=.3]
+ \node[circle,draw] (A) at (.5,.5) {A};
+ \node[circle,draw] (B) at (3,1.5) {B};
+ \draw[->,snake=bent,raise snake=2pt] (A) -- (B);
+ \draw[->,snake=bent,raise snake=2pt] (B) -- (A);
+
+ \draw [snake=bent,mirror snake] (0,0) rectangle (3.5,2);
+\end{tikzpicture}
+\end{codeexample}
+\end{snake}
+
+
+
+\begin{snake}{border}
+ This snake adds straight lines the path that are at a specific angle
+ to the line toward the target. The idea is to add these little lines
+ to indicate the ``border'' or an area. The following parameters
+ influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentlength|
+ determines the distance between consecutive ticks.
+ \item |\pgfsnakesegmentamplitude|
+ determines the length of the ticks.
+ \item |\pgfsnakesegmentangle|
+ determines the angle between the ticks and the line toward the
+ target.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz{\draw (0,0) rectangle (3,1)
+ [snake=border,segment angle=-45] (0,0) rectangle (3,1);}
+\end{codeexample}
+\end{snake}
+
+
+\begin{snake}{brace}
+ This snake adds a long brace to the path. The left and right end of
+ the brace will be exactly on the start and endpoint of the
+ snake. The following parameters influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentamplitude|
+ determines how much the brace rises above the path.
+ \item |\pgfsnakesegmentaspect|
+ determines the fraction of the total length where the ``middle
+ part'' of the brace will be.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz{\draw[snake=brace,segment aspect=0.25] (0,0) -- (3,0);}
+\end{codeexample}
+\end{snake}
+
+\begin{snake}{bumps}
+ This snake consists of little half ellipses. The following parameters
+ influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentamplitude|
+ determines the height of the half ellipse.
+ \item |\pgfsnakesegmentlength|
+ determines the width of the half ellipse.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz{\draw[snake=bumps] (0,0) -- (3,0);}
+\end{codeexample}
+\end{snake}
+
+
+\begin{snake}{coil}
+ This snake adds a coil to the path. To understand how this works,
+ imagine a three-dimensional spring. The spring's axis points along
+ the line toward the target. Then, we ``view'' the spring from a
+ certain angle. If we look ``straight from the side'' we will see a
+ perfect sine curve, if we look ``more from the front'' we will see a
+ coil. The following parameters influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentamplitude|
+ determines how much the coil rises above the path and falls below
+ it. Thus, this is the radius of the coil.
+ \item |\pgfsnakesegmentlength|
+ determines the distance between two consecutive ``curls.'' Thus,
+ when the spring is see ``from the side'' this will be the wave
+ length of the sine curve.
+ \item |\pgfsnakesegmentaspect|
+ determines the ``viewing direction.'' A value of |0| means
+ ``looking from the side'' and a value of |0.5|, which is the
+ default, means ``look more from the front.''
+ \end{itemize}
+\begin{codeexample}[]
+\begin{tikzpicture}[segment amplitude=10pt]
+ \draw[snake=coil] (0,1) -- (3,1);
+ \draw[snake=coil,segment aspect=0] (0,0) -- (3,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{snake}
+
+
+\begin{snake}{expanding waves}
+ This snake adds arcs to the path that get bigger along the line
+ towards the target. The following parameters influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentlength|
+ determines the distance between consecutive arcs.
+ \item |\pgfsnakesegmentangle|
+ determines the opening angle below and above the path. Thus, the
+ total opening angle is twice this angle.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz{\draw[snake=expanding waves] (0,0) -- (3,0);}
+\end{codeexample}
+\end{snake}
+
+
+\begin{snake}{saw}
+ This snake looks like the blade of a saw. The following parameters
+ influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentamplitude|
+ determines how much each spike raises above the straight line.
+ \item |\pgfsnakesegmentlength|
+ determines the length each spike.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz{\draw[snake=saw] (0,0) -- (3,0);}
+\end{codeexample}
+\end{snake}
+
+
+\begin{snake}{snake}
+ This snake is the ``architypical'' snake: It looks like a snake seen
+ from above. More precisely, the snake is a sine wave with a
+ ``softened'' start and ending. The following parameters influence
+ the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentamplitude|
+ determines the sine wave's amplitude.
+ \item |\pgfsnakesegmentlength|
+ determines the sine wave's wave length.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz{\draw[snake=snake] (0,0) -- (3,0);}
+\end{codeexample}
+\end{snake}
+
+
+\begin{snake}{ticks}
+ This snake adds straight lines the path that are orthogonal to the
+ line toward the target. The following parameters influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentlength|
+ determines the distance between consecutive ticks.
+ \item |\pgfsnakesegmentamplitude|
+ determines half the length of the ticks.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz{\draw[snake=ticks] (0,0) -- (3,0);}
+\end{codeexample}
+\end{snake}
+
+\begin{snake}{triangles}
+ This snake adds triangles to the path that point toward the
+ target. The following parameters influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentlength|
+ determines the distance between consecutive triangles.
+ \item |\pgfsnakesegmentamplitude|
+ determines half the length of the triangle side that is orthogonal
+ to the path.
+ \item |\pgfsnakesegmentobjectlength|
+ determines the height of the triangle.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz{\draw[snake=triangles] (0,0) -- (3,0);}
+\end{codeexample}
+\end{snake}
+
+\begin{snake}{crosses}
+ This snake adds (diagonal) crosses to the path. The following
+ parameters influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentlength|
+ determines the distance between consecutive crosses.
+ \item |\pgfsnakesegmentamplitude|
+ determines half the hieght of each cross.
+ \item |\pgfsnakesegmentobjectlength|
+ determines width of each cross.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz{\draw[snake=crosses] (0,0) -- (3,0);}
+\end{codeexample}
+\end{snake}
+
+
+\begin{snake}{waves}
+ This snake adds arcs to the path that have a constant size. The
+ following parameters influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentlength|
+ determines the distance between consecutive arcs.
+ \item |\pgfsnakesegmentangle|
+ determines the opening angle below and above the path. Thus, the
+ total opening angle is twice this angle.
+ \item |\pgfsnakesegmentamplitude|
+ determines the radius of each arc.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz{\draw[snake=waves] (0,0) -- (3,0);}
+\end{codeexample}
+\end{snake}
+
+
+\begin{snake}{zigzag}
+ This snake looks like a zig-zag line. The following parameters
+ influence the snake:
+ \begin{itemize}
+ \item |\pgfsnakesegmentamplitude|
+ determines how much the zig-zag lines raises above and falls below
+ a straight line to the target point.
+ \item |\pgfsnakesegmentlength|
+ determines the length of a complete ``up-down'' cycle.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz{\draw[snake=zigzag] (0,0) -- (3,0);}
+\end{codeexample}
+\end{snake}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-trees.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-trees.tex
new file mode 100644
index 00000000000..f4e6f591c1c
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-library-trees.tex
@@ -0,0 +1,179 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\section{Tree Library}
+
+\label{section-tree-library}
+
+
+\begin{tikzlibrary}{trees}
+ This packages defines styles to be used when drawing trees.
+\end{tikzlibrary}
+
+\subsection{Growth Functions}
+
+The package |pgflibrarytikztrees| defines two new growth
+functions. They are installed using the following options:
+
+\begin{itemize}
+ \itemoption{grow via three points}|=one child at (|\meta{x}%
+ |) and two children at (|\meta{y}|) and (|\meta{z}|)|
+ This option installs a growth function that works as follows: If a
+ parent node has just one child, this child is placed at \meta{x}. If
+ the parent node has two children, these are placed at \meta{y} and
+ \meta{z}. If the parent node has more than two children, the
+ children are placed at points that are linearly extrapolated from
+ the three points \meta{x}, \meta{y}, and \meta{z}. In detail, the
+ position is $x + \frac{n-1}{2}(y-x) + (c-1)(z-y)$, where $n$ is the
+ number of children and $c$ is the number of the current child
+ (starting with~$1$).
+
+ The net effect of all this is that if you have a certain ``linear
+ arrangement'' in mind and use this option to specify the placement
+ of a single child and of two children, then any number of children
+ will be placed correctly.
+
+ Here are some arrangements based on this growth function. We start
+ with a simple ``above'' arrangement:
+\begin{codeexample}[]
+\begin{tikzpicture}[grow via three points={%
+ one child at (0,1) and two children at (-.5,1) and (.5,1)}]
+ \node at (0,0) {one} child;
+ \node at (0,-1.5) {two} child child;
+ \node at (0,-3) {three} child child child;
+ \node at (0,-4.5) {four} child child child child;
+\end{tikzpicture}
+\end{codeexample}
+
+ The next arrangement places children above, but ``grows only to the
+ right.''
+\begin{codeexample}[]
+\begin{tikzpicture}[grow via three points={%
+ one child at (0,1) and two children at (0,1) and (1,1)}]
+ \node at (0,0) {one} child;
+ \node at (0,-1.5) {two} child child;
+ \node at (0,-3) {three} child child child;
+ \node at (0,-4.5) {four} child child child child;
+\end{tikzpicture}
+\end{codeexample}
+
+ In the final arrangement, the children are placed along a line going
+ down and right.
+\begin{codeexample}[]
+\begin{tikzpicture}[grow via three points={%
+ one child at (-1,-.5) and two children at (-1,-.5) and (0,-.75)}]
+ \node at (0,0) {one} child;
+ \node at (0,-1.5) {two} child child;
+ \node at (0,-3) {three} child child child;
+ \node at (0,-4.5) {four} child child child child;
+\end{tikzpicture}
+\end{codeexample}
+
+ These examples should make it clear how you can create new styles to
+ arrange your children along a line.
+
+ \itemstyle{grow cyclic}
+ This style causes the children to be arranged ``on a circle.'' For
+ this, the children are placed at distance |\tikzleveldistance| from
+ the parent node, but not on a straight line, but points on a
+ circle. Instead of a sibling distance, there is a |sibling angle|
+ that denotes the angle between two given children.
+ \begin{itemize}
+ \itemoption{sibling angle}|=|\meta{angle}
+ Sets the angle between siblings in the |grow cyclic| style.
+ \end{itemize}
+ Note that this function will rotate the coordinate system of the
+ children to ensure that the grandchildren will grow in the right
+ direction.
+\begin{codeexample}[]
+\begin{tikzpicture}[grow cyclic]
+ \tikzstyle{level 1}=[level distance=8mm,sibling angle=60]
+ \tikzstyle{level 2}=[level distance=4mm,sibling angle=45]
+ \tikzstyle{level 3}=[level distance=2mm,sibling angle=30]
+ \coordinate [rotate=-90] % going down
+ child foreach \x in {1,2,3}
+ {child foreach \x in {1,2,3}
+ {child foreach \x in {1,2,3}}};
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{clockwise from}|=|\meta{angle}
+ This option also cuases children to be arranged on a
+ circle. However, the rule for placing children is simpler thatn with
+ the |grow cyclic| style: The first child is placed at
+ \meta{angle} at a distance of |\tikzleveldistance|. The second child
+ is placed at the same distance from the parent, but at angle
+ \meta{angle}${}-{}$|\tikzsiblingangle|. The third child is displaced
+ by another |\tikzsiblingangle| in a clockwise fashion, and so on.
+
+ Note that this function will not rotate the coordinate system.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node {root}
+ [clockwise from=30,sibling angle=30]
+ child {node {$30$}}
+ child {node {$0$}}
+ child {node {$-30$}}
+ child {node {$-60$}};
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{counterclockwise from}|=|\meta{angle}
+ Works the same way as |clockwise from|, but sibling angles are added
+ instead of subtracted.
+\end{itemize}
+
+\subsection{Edges From Parent}
+
+The following styles can be used to modify how the edges from parents
+are drawn:
+
+\begin{itemize}
+ \itemstyle{edge from parent fork down}
+ This style will draw a line from the parent downwards (for half the
+ level distance) and then on to the child using only horizontal and
+ vertical lines.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node {root}
+ [edge from parent fork down]
+ child {node {left}}
+ child {node {right}
+ child[child anchor=north east] {node {child}}
+ child {node {child}}
+ };
+\end{tikzpicture}
+\end{codeexample}
+ \itemstyle{edge from parent fork right}
+ This style behaves similarly, only it will first draw its edge to
+ the right.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node {root}
+ [edge from parent fork right,grow=right]
+ child {node {left}}
+ child {node {right}
+ child {node {child}}
+ child {node {child}}
+ };
+\end{tikzpicture}
+\end{codeexample}
+ \itemstyle{edge from parent fork left}
+ behaves similary.
+ \itemstyle{edge from parent fork up}
+ behaves similary.
+\end{itemize}
+
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-license.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-license.tex
index f90c0e34b8b..61c2ea6e288 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-license.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-license.tex
@@ -1,17 +1,58 @@
-% $Header: /cvsroot/pgf/pgf/doc/generic/pgf/text-en/pgfmanual-en-license.tex,v 1.1 2005/11/14 17:37:50 tantau Exp $
-
-% Copyright 2003, 2004 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
-\subsection{License: The GNU Public License, Version 2}
+\section{Licenses and Copyright}
\label{section-license}
-The \pgfname\ package is distributed under the \textsc{gnu} public
-license, version 2. In detail, this means the following (the following
-text is copyrighted by the Free Software Foundation):
+
+\subsection{Which License Applies?}
+
+Different parts of the \pgfname\ package are distributed under
+different licenses:
+
+\begin{enumerate}
+\item The \emph{code} of the package is dual-license. This means that
+ you can decide which license you wish to use when using the
+ \pgfname\ package. The two options are:
+ \begin{enumerate}
+ \item You can use the \textsc{gnu} Public License, version 2.
+ \item You can use the \LaTeX\ Project Public License, version 1.3c.
+ \end{enumerate}
+\item The \emph{documentation} of the package is also dual-license. Again,
+ you can choose between two options:
+ \begin{enumerate}
+ \item You can use the \textsc{gnu} Free Documentation License, version 1.2.
+ \item You can use the \LaTeX\ Project Public License, version 1.3c.
+ \end{enumerate}
+\end{enumerate}
+
+The ``documentation of the package'' refers to all files in the
+subdirectory |doc| of the |pgf| package. A detailed listing can be
+found in the file |doc/generic/pgf/licenses/manifest-documentation.txt|.
+All files in other directories are part of the ``code of the
+package.'' A detailed listing can be found in the file
+|doc/generic/pgf/licenses/manifest-code.txt|.
+
+In the resest of this section, the licenses are presented. The
+following text is copyrighted, see the plain text versions of these
+licenses in the directory |doc/generic/pgf/licenses| for details.
+
+The example picture used in this manual, the Brave \textsc{gnu} World
+logo, is taken from the Brave \textsc{gnu} World homepage, where it is
+copyrighted as follows: ``Copyright (C) 1999, 2000, 2001, 2002, 2003,
+2004 Georg C.~F.\ Greve. Permission is granted to make and distribute
+verbatim copies of this transcript as long as the copyright and this
+permission notice appear.''
+
+
+\subsection{The GNU Public License, Version 2}
\subsubsection{Preamble}
@@ -21,8 +62,8 @@ intended to guarantee your freedom to share and change free software---to
make sure the software is free for all its users. This General Public
License applies to most of the Free Software Foundation's software and to
any other program whose authors commit to using it. (Some other Free
-Software Foundation software is covered by the \textsc{gnu} Library General Public
-License instead.) You can apply it to your programs, too.
+Software Foundation software is covered by the \textsc{gnu} Library
+General Public License instead.) You can apply it to your programs, too.
When we speak of free software, we are referring to freedom, not price.
Our General Public Licenses are designed to make sure that you have the
@@ -320,6 +361,964 @@ programs), even if such holder or other party has been advised of the
possibility of such damages.
\end{enumerate}
+
+\providecommand{\LPPLsection}{\subsection}
+\providecommand{\LPPLsubsection}{\subsubsection}
+\providecommand{\LPPLsubsubsection}{\subsubsection}
+\providecommand{\LPPLparagraph}{\paragraph}
+
+
+% The file lppl.tex, some minor typographic changes:
+
+%
+% $Id: pgfmanual-en-license.tex,v 1.4 2006/10/11 15:00:28 tantau Exp $
+%
+% Copyright 1999 2002-2006 LaTeX3 Project
+% Everyone is allowed to distribute verbatim copies of this
+% license document, but modification of it is not allowed.
+%
+%
+% If you wish to load it as part of a ``doc'' source, you have to
+% ensure that a) % is a comment character and b) that short verb
+% characters are being turned off, i.e.,
+%
+% \DeleteShortVerb{\'} % or whatever was made a shorthand
+% \MakePercentComment
+% \input{lppl}
+% \MakePercentIgnore
+% \MakeShortVerb{\'} % turn it on again if necessary
+%
+%
+% By default the license is produced with \section* as the highest
+% heading level. If this is not appropriate for the document in which
+% it is included define the commands listed below before loading this
+% document, e.g., for inclusion as a separate chapter define:
+%
+% \providecommand{\LPPLsection}{\chapter*}
+% \providecommand{\LPPLsubsection}{\section*}
+% \providecommand{\LPPLsubsubsection}{\subsection*}
+% \providecommand{\LPPLparagraph}{\subsubsection*}
+%
+%
+% To allow cross-referencing the headings \label's have been attached
+% to them, all starting with ``LPPL:''. As by default headings without
+% numbers are produced, this will only allow page references.
+% However, you can use the titleref package to produce textual
+% references or you change the definitions of \LPPLsection, and
+% friends to generated numbered headings.
+%
+%
+% We want it to be possible that this file can be processed by
+% (pdf)LaTeX on its own, or that this file can be included in another
+% LaTeX document without any modification whatsoever.
+% Hence the little test below.
+%
+%
+\makeatletter
+\ifx\@preamblecmds\@notprerr
+ % In this case the preamble has already been processed so this file
+ % is loaded as part of another document; just enclose everything in
+ % a group
+ \let\LPPLicense\bgroup
+ \let\endLPPLicense\egroup
+\else
+ % In this case the preamble has not been processed yet so this file
+ % is processed by itself.
+ \documentclass{article}
+ \let\LPPLicense\document
+ \let\endLPPLicense\enddocument
+\fi
+\makeatother
+
+
+\begin{LPPLicense}
+ \providecommand{\LPPLsection}{\section*}
+ \providecommand{\LPPLsubsection}{\subsection*}
+ \providecommand{\LPPLsubsubsection}{\subsubsection*}
+ \providecommand{\LPPLparagraph}{\paragraph*}
+ \providecommand*{\LPPLfile}[1]{\texttt{#1}}
+ \providecommand*{\LPPLdocfile}[1]{`\LPPLfile{#1.tex}'}
+ \providecommand*{\LPPL}{\textsc{lppl}}
+
+ \LPPLsection{The \LaTeX\ Project Public License, Version 1.3c 2006-05-20}
+ \label{LPPL:LPPL}
+
+% \textbf{Copyright 1999, 2002--2006 \LaTeX3 Project}
+% \begin{quotation}
+% Everyone is allowed to distribute verbatim copies of this
+% license document, but modification of it is not allowed.
+% \end{quotation}
+
+ \LPPLsubsection{Preamble}
+ \label{LPPL:Preamble}
+
+ The \LaTeX\ Project Public License (\LPPL) is the primary license
+ under which the the \LaTeX\ kernel and the base \LaTeX\ packages are
+ distributed.
+
+ You may use this license for any work of which you hold the
+ copyright and which you wish to distribute. This license may be
+ particularly suitable if your work is \TeX-related (such as a
+ \LaTeX\ package), but it is written in such a way that you can use
+ it even if your work is unrelated to \TeX.
+
+ The section `\textsc{wheter and how to distribute works under this
+ license}', below, gives instructions, examples, and
+ recommendations
+ for authors who are considering distributing their works under this
+ license.
+
+ This license gives conditions under which a work may be distributed
+ and modified, as well as conditions under which modified versions of
+ that work may be distributed.
+
+ We, the \LaTeX3 Project, believe that the conditions below give you
+ the freedom to make and distribute modified versions of your work
+ that conform with whatever technical specifications you wish while
+ maintaining the availability, integrity, and reliability of that
+ work. If you do not see how to achieve your goal while meeting
+ these conditions, then read the document \LPPLdocfile{cfgguide} and
+ \LPPLdocfile{modguide} in the base \LaTeX\ distribution for suggestions.
+
+
+ \LPPLsubsection{Definitions}
+ \label{LPPL:Definitions}
+
+ In this license document the following terms are used:
+
+ \begin{description}
+ \item[Work] Any work being distributed under this License.
+
+ \item[Derived Work] Any work that under any applicable law is
+ derived from the Work.
+
+ \item[Modification] Any procedure that produces a Derived Work under
+ any applicable law -- for example, the production of a file
+ containing an original file associated with the Work or a
+ significant portion of such a file, either verbatim or with
+ modifications and/or translated into another language.
+
+ \item[Modify] To apply any procedure that produces a Derived Work
+ under any applicable law.
+
+ \item[Distribution] Making copies of the Work available from one
+ person to another, in whole or in part. Distribution includes
+ (but is not limited to) making any electronic components of the
+ Work accessible by file transfer protocols such as \textsc{ftp} or
+ \textsc{http} or by shared file systems such as Sun's Network File
+ System (\textsc{nfs}).
+
+ \item[Compiled Work] A version of the Work that has been processed
+ into a form where it is directly usable on a computer system.
+ This processing may include using installation facilities provided
+ by the Work, transformations of the Work, copying of components of
+ the Work, or other activities. Note that modification of any
+ installation facilities provided by the Work constitutes
+ modification of the Work.
+
+ \item[Current Maintainer] A person or persons nominated as such
+ within the Work. If there is no such explicit nomination then it
+ is the `Copyright Holder' under any applicable law.
+
+ \item[Base Interpreter] A program or process that is normally needed
+ for running or interpreting a part or the whole of the Work.
+
+ A Base Interpreter may depend on external components but these are
+ not considered part of the Base Interpreter provided that each
+ external component clearly identifies itself whenever it is used
+ interactively. Unless explicitly specified when applying the
+ license to the Work, the only applicable Base Interpreter is a
+ `\LaTeX-Format' or in the case of files belonging to the
+ `\LaTeX-format' a program implementing the `\TeX{} language'.
+ \end{description}
+
+ \LPPLsubsection{Conditions on Distribution and Modification}
+ \label{LPPL:Conditions}
+
+ \begin{enumerate}
+ \item Activities other than distribution and/or modification of the
+ Work are not covered by this license; they are outside its scope.
+ In particular, the act of running the Work is not restricted and
+ no requirements are made concerning any offers of support for the
+ Work.
+
+ \item\label{LPPL:item:distribute} You may distribute a complete, unmodified
+ copy of the Work as you received it. Distribution of only part of
+ the Work is considered modification of the Work, and no right to
+ distribute such a Derived Work may be assumed under the terms of
+ this clause.
+
+ \item You may distribute a Compiled Work that has been generated
+ from a complete, unmodified copy of the Work as distributed under
+ Clause~\ref{LPPL:item:distribute} above, as long as that Compiled Work is
+ distributed in such a way that the recipients may install the
+ Compiled Work on their system exactly as it would have been
+ installed if they generated a Compiled Work directly from the
+ Work.
+
+ \item\label{LPPL:item:currmaint} If you are the Current Maintainer of the
+ Work, you may, without restriction, modify the Work, thus creating
+ a Derived Work. You may also distribute the Derived Work without
+ restriction, including Compiled Works generated from the Derived
+ Work. Derived Works distributed in this manner by the Current
+ Maintainer are considered to be updated versions of the Work.
+
+ \item If you are not the Current Maintainer of the Work, you may
+ modify your copy of the Work, thus creating a Derived Work based
+ on the Work, and compile this Derived Work, thus creating a
+ Compiled Work based on the Derived Work.
+
+ \item\label{LPPL:item:conditions} If you are not the Current Maintainer of the
+ Work, you may distribute a Derived Work provided the following
+ conditions are met for every component of the Work unless that
+ component clearly states in the copyright notice that it is exempt
+ from that condition. Only the Current Maintainer is allowed to
+ add such statements of exemption to a component of the Work.
+ \begin{enumerate}
+ \item If a component of this Derived Work can be a direct
+ replacement for a component of the Work when that component is
+ used with the Base Interpreter, then, wherever this component of
+ the Work identifies itself to the user when used interactively
+ with that Base Interpreter, the replacement component of this
+ Derived Work clearly and unambiguously identifies itself as a
+ modified version of this component to the user when used
+ interactively with that Base Interpreter.
+
+ \item Every component of the Derived Work contains prominent
+ notices detailing the nature of the changes to that component,
+ or a prominent reference to another file that is distributed as
+ part of the Derived Work and that contains a complete and
+ accurate log of the changes.
+
+ \item No information in the Derived Work implies that any persons,
+ including (but not limited to) the authors of the original
+ version of the Work, provide any support, including (but not
+ limited to) the reporting and handling of errors, to recipients
+ of the Derived Work unless those persons have stated explicitly
+ that they do provide such support for the Derived Work.
+
+ \item You distribute at least one of the following with the Derived Work:
+ \begin{enumerate}
+ \item A complete, unmodified copy of the Work; if your
+ distribution of a modified component is made by offering
+ access to copy the modified component from a designated place,
+ then offering equivalent access to copy the Work from the same
+ or some similar place meets this condition, even though third
+ parties are not compelled to copy the Work along with the
+ modified component;
+
+ \item Information that is sufficient to obtain a complete,
+ unmodified copy of the Work.
+ \end{enumerate}
+ \end{enumerate}
+ \item If you are not the Current Maintainer of the Work, you may
+ distribute a Compiled Work generated from a Derived Work, as long
+ as the Derived Work is distributed to all recipients of the
+ Compiled Work, and as long as the conditions of
+ Clause~\ref{LPPL:item:conditions}, above, are met with regard to the Derived
+ Work.
+
+ \item The conditions above are not intended to prohibit, and hence
+ do not apply to, the modification, by any method, of any component
+ so that it becomes identical to an updated version of that
+ component of the Work as it is distributed by the Current
+ Maintainer under Clause~\ref{LPPL:item:currmaint}, above.
+
+ \item Distribution of the Work or any Derived Work in an alternative
+ format, where the Work or that Derived Work (in whole or in part)
+ is then produced by applying some process to that format, does not
+ relax or nullify any sections of this license as they pertain to
+ the results of applying that process.
+
+ \item \null
+ \begin{enumerate}
+ \item A Derived Work may be distributed under a different license
+ provided that license itself honors the conditions listed in
+ Clause~\ref{LPPL:item:conditions} above, in regard to the Work, though it
+ does not have to honor the rest of the conditions in this
+ license.
+
+ \item If a Derived Work is distributed under a different license,
+ that Derived Work must provide sufficient documentation as part
+ of itself to allow each recipient of that Derived Work to honor
+ the restrictions in Clause~\ref{LPPL:item:conditions} above, concerning
+ changes from the Work.
+ \end{enumerate}
+ \item This license places no restrictions on works that are
+ unrelated to the Work, nor does this license place any
+ restrictions on aggregating such works with the Work by any means.
+
+ \item Nothing in this license is intended to, or may be used to,
+ prevent complete compliance by all parties with all applicable
+ laws.
+ \end{enumerate}
+
+ \LPPLsubsection{No Warranty}
+ \label{LPPL:Warranty}
+
+ There is no warranty for the Work. Except when otherwise stated in
+ writing, the Copyright Holder provides the Work `as is', without
+ warranty of any kind, either expressed or implied, including, but
+ not limited to, the implied warranties of merchantability and
+ fitness for a particular purpose. The entire risk as to the quality
+ and performance of the Work is with you. Should the Work prove
+ defective, you assume the cost of all necessary servicing, repair,
+ or correction.
+
+ In no event unless required by applicable law or agreed to in
+ writing will The Copyright Holder, or any author named in the
+ components of the Work, or any other party who may distribute and/or
+ modify the Work as permitted above, be liable to you for damages,
+ including any general, special, incidental or consequential damages
+ arising out of any use of the Work or out of inability to use the
+ Work (including, but not limited to, loss of data, data being
+ rendered inaccurate, or losses sustained by anyone as a result of
+ any failure of the Work to operate with any other programs), even if
+ the Copyright Holder or said author or said other party has been
+ advised of the possibility of such damages.
+
+ \LPPLsubsection{Maintenance of The Work}
+ \label{LPPL:Maintenance}
+
+ The Work has the status `author-maintained' if the Copyright Holder
+ explicitly and prominently states near the primary copyright notice
+ in the Work that the Work can only be maintained by the Copyright
+ Holder or simply that it is `author-maintained'.
+
+ The Work has the status `maintained' if there is a Current
+ Maintainer who has indicated in the Work that they are willing to
+ receive error reports for the Work (for example, by supplying a
+ valid e-mail address). It is not required for the Current Maintainer
+ to acknowledge or act upon these error reports.
+
+ The Work changes from status `maintained' to `unmaintained' if there
+ is no Current Maintainer, or the person stated to be Current
+ Maintainer of the work cannot be reached through the indicated means
+ of communication for a period of six months, and there are no other
+ significant signs of active maintenance.
+
+ You can become the Current Maintainer of the Work by agreement with
+ any existing Current Maintainer to take over this role.
+
+ If the Work is unmaintained, you can become the Current Maintainer
+ of the Work through the following steps:
+ \begin{enumerate}
+ \item Make a reasonable attempt to trace the Current Maintainer (and
+ the Copyright Holder, if the two differ) through the means of an
+ Internet or similar search.
+ \item If this search is successful, then enquire whether the Work is
+ still maintained.
+ \begin{enumerate}
+ \item If it is being maintained, then ask the Current Maintainer
+ to update their communication data within one month.
+
+ \item\label{LPPL:item:intention} If the search is unsuccessful or
+ no action to resume active maintenance is taken by the Current
+ Maintainer, then announce within the pertinent community your
+ intention to take over maintenance. (If the Work is a \LaTeX{}
+ work, this could be done, for example, by posting to
+ \texttt{comp.text.tex}.)
+ \end{enumerate}
+ \item {}
+ \begin{enumerate}
+ \item If the Current Maintainer is reachable and agrees to pass
+ maintenance of the Work to you, then this takes effect
+ immediately upon announcement.
+
+ \item\label{LPPL:item:announce} If the Current Maintainer is not
+ reachable and the Copyright Holder agrees that maintenance of
+ the Work be passed to you, then this takes effect immediately
+ upon announcement.
+ \end{enumerate}
+ \item\label{LPPL:item:change} If you make an `intention
+ announcement' as described in~\ref{LPPL:item:intention} above and
+ after three months your intention is challenged neither by the
+ Current Maintainer nor by the Copyright Holder nor by other
+ people, then you may arrange for the Work to be changed so as to
+ name you as the (new) Current Maintainer.
+
+ \item If the previously unreachable Current Maintainer becomes
+ reachable once more within three months of a change completed
+ under the terms of~\ref{LPPL:item:announce}
+ or~\ref{LPPL:item:change}, then that Current Maintainer must
+ become or remain the Current Maintainer upon request provided they
+ then update their communication data within one month.
+ \end{enumerate}
+ A change in the Current Maintainer does not, of itself, alter the
+ fact that the Work is distributed under the \LPPL\ license.
+
+ If you become the Current Maintainer of the Work, you should
+ immediately provide, within the Work, a prominent and unambiguous
+ statement of your status as Current Maintainer. You should also
+ announce your new status to the same pertinent community as
+ in~\ref{LPPL:item:intention} above.
+
+ \LPPLsubsection{Whether and How to Distribute Works under This License}
+ \label{LPPL:Distribute}
+
+ This section contains important instructions, examples, and
+ recommendations for authors who are considering distributing their
+ works under this license. These authors are addressed as `you' in
+ this section.
+
+ \LPPLsubsubsection{Choosing This License or Another License}
+ \label{LPPL:Choosing}
+
+ If for any part of your work you want or need to use
+ \emph{distribution} conditions that differ significantly from those
+ in this license, then do not refer to this license anywhere in your
+ work but, instead, distribute your work under a different license.
+ You may use the text of this license as a model for your own
+ license, but your license should not refer to the \LPPL\ or
+ otherwise give the impression that your work is distributed under
+ the \LPPL.
+
+ The document \LPPLdocfile{modguide} in the base \LaTeX\ distribution
+ explains the motivation behind the conditions of this license. It
+ explains, for example, why distributing \LaTeX\ under the
+ \textsc{gnu} General Public License (\textsc{gpl}) was considered
+ inappropriate. Even if your work is unrelated to \LaTeX, the
+ discussion in \LPPLdocfile{modguide} may still be relevant, and authors
+ intending to distribute their works under any license are encouraged
+ to read it.
+
+ \LPPLsubsubsection{A Recommendation on Modification Without Distribution}
+ \label{LPPL:WithoutDistribution}
+
+ It is wise never to modify a component of the Work, even for your
+ own personal use, without also meeting the above conditions for
+ distributing the modified component. While you might intend that
+ such modifications will never be distributed, often this will happen
+ by accident -- you may forget that you have modified that component;
+ or it may not occur to you when allowing others to access the
+ modified version that you are thus distributing it and violating the
+ conditions of this license in ways that could have legal
+ implications and, worse, cause problems for the community. It is
+ therefore usually in your best interest to keep your copy of the
+ Work identical with the public one. Many works provide ways to
+ control the behavior of that work without altering any of its
+ licensed components.
+
+ \LPPLsubsubsection{How to Use This License}
+ \label{LPPL:HowTo}
+
+ To use this license, place in each of the components of your work
+ both an explicit copyright notice including your name and the year
+ the work was authored and/or last substantially modified. Include
+ also a statement that the distribution and/or modification of that
+ component is constrained by the conditions in this license.
+
+ Here is an example of such a notice and statement:
+\begin{verbatim}
+ %% pig.dtx
+ %% Copyright 2005 M. Y. Name
+ %
+ % This work may be distributed and/or modified under the
+ % conditions of the LaTeX Project Public License, either version 1.3
+ % of this license or (at your option) any later version.
+ % The latest version of this license is in
+ % http://www.latex-project.org/lppl.txt
+ % and version 1.3 or later is part of all distributions of LaTeX
+ % version 2005/12/01 or later.
+ %
+ % This work has the LPPL maintenance status `maintained'.
+ %
+ % The Current Maintainer of this work is M. Y. Name.
+ %
+ % This work consists of the files pig.dtx and pig.ins
+ % and the derived file pig.sty.
+\end{verbatim}
+
+ Given such a notice and statement in a file, the conditions given in
+ this license document would apply, with the `Work' referring to the
+ three files `\LPPLfile{pig.dtx}', `\LPPLfile{pig.ins}', and
+ `\LPPLfile{pig.sty}' (the last being generated from
+ `\LPPLfile{pig.dtx}' using `\LPPLfile{pig.ins}'), the `Base
+ Interpreter' referring to any `\LaTeX-Format', and both `Copyright
+ Holder' and `Current Maintainer' referring to the person `M. Y.
+ Name'.
+
+ If you do not want the Maintenance section of \LPPL\ to apply to
+ your Work, change `maintained' above into `author-maintained'.
+ However, we recommend that you use `maintained' as the Maintenance
+ section was added in order to ensure that your Work remains useful
+ to the community even when you can no longer maintain and support it
+ yourself.
+
+ \LPPLsubsubsection{Derived Works That Are Not Replacements}
+ \label{LPPL:NotReplacements}
+
+ Several clauses of the \LPPL\ specify means to provide reliability
+ and stability for the user community. They therefore concern
+ themselves with the case that a Derived Work is intended to be used
+ as a (compatible or incompatible) replacement of the original
+ Work. If this is not the case (e.g., if a few lines of code are
+ reused for a completely different task), then clauses 6b and 6d
+ shall not apply.
+
+ \LPPLsubsubsection{Important Recommendations}
+ \label{LPPL:Recommendations}
+
+ \LPPLparagraph{Defining What Constitutes the Work}
+
+ The \LPPL\ requires that distributions of the Work contain all the
+ files of the Work. It is therefore important that you provide a way
+ for the licensee to determine which files constitute the Work. This
+ could, for example, be achieved by explicitly listing all the files
+ of the Work near the copyright notice of each file or by using a
+ line such as:
+\begin{verbatim}
+ % This work consists of all files listed in manifest.txt.
+\end{verbatim}
+ in that place. In the absence of an unequivocal list it might be
+ impossible for the licensee to determine what is considered by you
+ to comprise the Work and, in such a case, the licensee would be
+ entitled to make reasonable conjectures as to which files comprise
+ the Work.
+
+\end{LPPLicense}
+
+
+
+
+\subsection{GNU Free Documentation License, Version 1.2, November 2002}
+\label{label_fdl}
+
+
+% \textbf{Copyright 2000,2001,2002 Free Software Foundation, Inc.}\par
+% 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
+% \begin{quotation}
+% Everyone is allowed to distribute verbatim copies of this
+% license document, but modification of it is not allowed.
+% \end{quotation}
+
+\subsubsection{Preamble}
+
+The purpose of this License is to make a manual, textbook, or other
+functional and useful document ``free'' in the sense of freedom: to
+assure everyone the effective freedom to copy and redistribute it,
+with or without modifying it, either commercially or noncommercially.
+Secondarily, this License preserves for the author and publisher a way
+to get credit for their work, while not being considered responsible
+for modifications made by others.
+
+This License is a kind of ``copyleft'', which means that derivative
+works of the document must themselves be free in the same sense. It
+complements the GNU General Public License, which is a copyleft
+license designed for free software.
+
+We have designed this License in order to use it for manuals for free
+software, because free software needs free documentation: a free
+program should come with manuals providing the same freedoms that the
+software does. But this License is not limited to software manuals;
+it can be used for any textual work, regardless of subject matter or
+whether it is published as a printed book. We recommend this License
+principally for works whose purpose is instruction or reference.
+
+\subsubsection{Applicability and definitions}
+
+This License applies to any manual or other work, in any medium, that
+contains a notice placed by the copyright holder saying it can be
+distributed under the terms of this License. Such a notice grants a
+world-wide, royalty-free license, unlimited in duration, to use that
+work under the conditions stated herein. The \textbf{``Document''}, below,
+refers to any such manual or work. Any member of the public is a
+licensee, and is addressed as \textbf{``you''}. You accept the license if you
+copy, modify or distribute the work in a way requiring permission
+under copyright law.
+
+A \textbf{``Modified Version''} of the Document means any work containing the
+Document or a portion of it, either copied verbatim, or with
+modifications and/or translated into another language.
+
+A \textbf{``Secondary Section''} is a named appendix or a front-matter section of
+the Document that deals exclusively with the relationship of the
+publishers or authors of the Document to the Document's overall subject
+(or to related matters) and contains nothing that could fall directly
+within that overall subject. (Thus, if the Document is in part a
+textbook of mathematics, a Secondary Section may not explain any
+mathematics.) The relationship could be a matter of historical
+connection with the subject or with related matters, or of legal,
+commercial, philosophical, ethical or political position regarding
+them.
+
+The \textbf{``Invariant Sections''} are certain Secondary Sections whose titles
+are designated, as being those of Invariant Sections, in the notice
+that says that the Document is released under this License. If a
+section does not fit the above definition of Secondary then it is not
+allowed to be designated as Invariant. The Document may contain zero
+Invariant Sections. If the Document does not identify any Invariant
+Sections then there are none.
+
+The \textbf{``Cover Texts''} are certain short passages of text that are listed,
+as Front-Cover Texts or Back-Cover Texts, in the notice that says that
+the Document is released under this License. A Front-Cover Text may
+be at most 5 words, and a Back-Cover Text may be at most 25 words.
+
+A \textbf{``Transparent''} copy of the Document means a machine-readable copy,
+represented in a format whose specification is available to the
+general public, that is suitable for revising the document
+straightforwardly with generic text editors or (for images composed of
+pixels) generic paint programs or (for drawings) some widely available
+drawing editor, and that is suitable for input to text formatters or
+for automatic translation to a variety of formats suitable for input
+to text formatters. A copy made in an otherwise Transparent file
+format whose markup, or absence of markup, has been arranged to thwart
+or discourage subsequent modification by readers is not Transparent.
+An image format is not Transparent if used for any substantial amount
+of text. A copy that is not ``Transparent'' is called \textbf{``Opaque''}.
+
+Examples of suitable formats for Transparent copies include plain
+ASCII without markup, Texinfo input format, LaTeX input format, SGML
+or XML using a publicly available DTD, and standard-conforming simple
+HTML, PostScript or PDF designed for human modification. Examples of
+transparent image formats include PNG, XCF and JPG. Opaque formats
+include proprietary formats that can be read and edited only by
+proprietary word processors, SGML or XML for which the DTD and/or
+processing tools are not generally available, and the
+machine-generated HTML, PostScript or PDF produced by some word
+processors for output purposes only.
+
+The \textbf{``Title Page''} means, for a printed book, the title page itself,
+plus such following pages as are needed to hold, legibly, the material
+this License requires to appear in the title page. For works in
+formats which do not have any title page as such, ``Title Page'' means
+the text near the most prominent appearance of the work's title,
+preceding the beginning of the body of the text.
+
+A section \textbf{``Entitled XYZ''} means a named subunit of the Document whose
+title either is precisely XYZ or contains XYZ in parentheses following
+text that translates XYZ in another language. (Here XYZ stands for a
+specific section name mentioned below, such as \textbf{``Acknowledgements''},
+\textbf{``Dedications''}, \textbf{``Endorsements''}, or \textbf{``History''}.)
+To \textbf{``Preserve the Title''}
+of such a section when you modify the Document means that it remains a
+section ``Entitled XYZ'' according to this definition.
+
+The Document may include Warranty Disclaimers next to the notice which
+states that this License applies to the Document. These Warranty
+Disclaimers are considered to be included by reference in this
+License, but only as regards disclaiming warranties: any other
+implication that these Warranty Disclaimers may have is void and has
+no effect on the meaning of this License.
+
+\subsubsection{Verbatim Copying}
+
+You may copy and distribute the Document in any medium, either
+commercially or noncommercially, provided that this License, the
+copyright notices, and the license notice saying this License applies
+to the Document are reproduced in all copies, and that you add no other
+conditions whatsoever to those of this License. You may not use
+technical measures to obstruct or control the reading or further
+copying of the copies you make or distribute. However, you may accept
+compensation in exchange for copies. If you distribute a large enough
+number of copies you must also follow the conditions in section 3.
+
+You may also lend copies, under the same conditions stated above, and
+you may publicly display copies.
+
+\subsubsection{Copying in Quantity}
+
+If you publish printed copies (or copies in media that commonly have
+printed covers) of the Document, numbering more than 100, and the
+Document's license notice requires Cover Texts, you must enclose the
+copies in covers that carry, clearly and legibly, all these Cover
+Texts: Front-Cover Texts on the front cover, and Back-Cover Texts on
+the back cover. Both covers must also clearly and legibly identify
+you as the publisher of these copies. The front cover must present
+the full title with all words of the title equally prominent and
+visible. You may add other material on the covers in addition.
+Copying with changes limited to the covers, as long as they preserve
+the title of the Document and satisfy these conditions, can be treated
+as verbatim copying in other respects.
+
+If the required texts for either cover are too voluminous to fit
+legibly, you should put the first ones listed (as many as fit
+reasonably) on the actual cover, and continue the rest onto adjacent
+pages.
+
+If you publish or distribute Opaque copies of the Document numbering
+more than 100, you must either include a machine-readable Transparent
+copy along with each Opaque copy, or state in or with each Opaque copy
+a computer-network location from which the general network-using
+public has access to download using public-standard network protocols
+a complete Transparent copy of the Document, free of added material.
+If you use the latter option, you must take reasonably prudent steps,
+when you begin distribution of Opaque copies in quantity, to ensure
+that this Transparent copy will remain thus accessible at the stated
+location until at least one year after the last time you distribute an
+Opaque copy (directly or through your agents or retailers) of that
+edition to the public.
+
+It is requested, but not required, that you contact the authors of the
+Document well before redistributing any large number of copies, to give
+them a chance to provide you with an updated version of the Document.
+
+\subsubsection{Modifications}
+
+You may copy and distribute a Modified Version of the Document under
+the conditions of sections 2 and 3 above, provided that you release
+the Modified Version under precisely this License, with the Modified
+Version filling the role of the Document, thus licensing distribution
+and modification of the Modified Version to whoever possesses a copy
+of it. In addition, you must do these things in the Modified Version:
+
+\begin{itemize}
+\item[A.]
+ Use in the Title Page (and on the covers, if any) a title distinct
+ from that of the Document, and from those of previous versions
+ (which should, if there were any, be listed in the History section
+ of the Document). You may use the same title as a previous version
+ if the original publisher of that version gives permission.
+
+\item[B.]
+ List on the Title Page, as authors, one or more persons or entities
+ responsible for authorship of the modifications in the Modified
+ Version, together with at least five of the principal authors of the
+ Document (all of its principal authors, if it has fewer than five),
+ unless they release you from this requirement.
+
+\item[C.]
+ State on the Title page the name of the publisher of the
+ Modified Version, as the publisher.
+
+\item[D.]
+ Preserve all the copyright notices of the Document.
+
+\item[E.]
+ Add an appropriate copyright notice for your modifications
+ adjacent to the other copyright notices.
+
+\item[F.]
+ Include, immediately after the copyright notices, a license notice
+ giving the public permission to use the Modified Version under the
+ terms of this License, in the form shown in the Addendum below.
+
+\item[G.]
+ Preserve in that license notice the full lists of Invariant Sections
+ and required Cover Texts given in the Document's license notice.
+
+\item[H.]
+ Include an unaltered copy of this License.
+
+\item[I.]
+ Preserve the section Entitled ``History'', Preserve its Title, and add
+ to it an item stating at least the title, year, new authors, and
+ publisher of the Modified Version as given on the Title Page. If
+ there is no section Entitled ``History'' in the Document, create one
+ stating the title, year, authors, and publisher of the Document as
+ given on its Title Page, then add an item describing the Modified
+ Version as stated in the previous sentence.
+
+\item[J.]
+ Preserve the network location, if any, given in the Document for
+ public access to a Transparent copy of the Document, and likewise
+ the network locations given in the Document for previous versions
+ it was based on. These may be placed in the ``History'' section.
+ You may omit a network location for a work that was published at
+ least four years before the Document itself, or if the original
+ publisher of the version it refers to gives permission.
+
+\item[K.]
+ For any section Entitled ``Acknowledgements'' or ``Dedications'',
+ Preserve the Title of the section, and preserve in the section all
+ the substance and tone of each of the contributor acknowledgements
+ and/or dedications given therein.
+
+\item[L.]
+ Preserve all the Invariant Sections of the Document,
+ unaltered in their text and in their titles. Section numbers
+ or the equivalent are not considered part of the section titles.
+
+\item[M.]
+ Delete any section Entitled ``Endorsements''. Such a section
+ may not be included in the Modified Version.
+
+\item[N.]
+ Do not retitle any existing section to be Entitled ``Endorsements''
+ or to conflict in title with any Invariant Section.
+
+\item[O.]
+ Preserve any Warranty Disclaimers.
+\end{itemize}
+
+If the Modified Version includes new front-matter sections or
+appendices that qualify as Secondary Sections and contain no material
+copied from the Document, you may at your option designate some or all
+of these sections as invariant. To do this, add their titles to the
+list of Invariant Sections in the Modified Version's license notice.
+These titles must be distinct from any other section titles.
+
+You may add a section Entitled ``Endorsements'', provided it contains
+nothing but endorsements of your Modified Version by various
+parties--for example, statements of peer review or that the text has
+been approved by an organization as the authoritative definition of a
+standard.
+
+You may add a passage of up to five words as a Front-Cover Text, and a
+passage of up to 25 words as a Back-Cover Text, to the end of the list
+of Cover Texts in the Modified Version. Only one passage of
+Front-Cover Text and one of Back-Cover Text may be added by (or
+through arrangements made by) any one entity. If the Document already
+includes a cover text for the same cover, previously added by you or
+by arrangement made by the same entity you are acting on behalf of,
+you may not add another; but you may replace the old one, on explicit
+permission from the previous publisher that added the old one.
+
+The author(s) and publisher(s) of the Document do not by this License
+give permission to use their names for publicity for or to assert or
+imply endorsement of any Modified Version.
+
+\subsubsection{Combining Documents}
+
+You may combine the Document with other documents released under this
+License, under the terms defined in section 4 above for modified
+versions, provided that you include in the combination all of the
+Invariant Sections of all of the original documents, unmodified, and
+list them all as Invariant Sections of your combined work in its
+license notice, and that you preserve all their Warranty Disclaimers.
+
+The combined work need only contain one copy of this License, and
+multiple identical Invariant Sections may be replaced with a single
+copy. If there are multiple Invariant Sections with the same name but
+different contents, make the title of each such section unique by
+adding at the end of it, in parentheses, the name of the original
+author or publisher of that section if known, or else a unique number.
+Make the same adjustment to the section titles in the list of
+Invariant Sections in the license notice of the combined work.
+
+In the combination, you must combine any sections Entitled ``History''
+in the various original documents, forming one section Entitled
+``History''; likewise combine any sections Entitled ``Acknowledgements'',
+and any sections Entitled ``Dedications''. You must delete all sections
+Entitled ``Endorsements''.
+
+
+\subsubsection{Collection of Documents}
+
+You may make a collection consisting of the Document and other documents
+released under this License, and replace the individual copies of this
+License in the various documents with a single copy that is included in
+the collection, provided that you follow the rules of this License for
+verbatim copying of each of the documents in all other respects.
+
+You may extract a single document from such a collection, and distribute
+it individually under this License, provided you insert a copy of this
+License into the extracted document, and follow this License in all
+other respects regarding verbatim copying of that document.
+
+
+\subsubsection{Aggregating with independent Works}
+
+A compilation of the Document or its derivatives with other separate
+and independent documents or works, in or on a volume of a storage or
+distribution medium, is called an ``aggregate'' if the copyright
+resulting from the compilation is not used to limit the legal rights
+of the compilation's users beyond what the individual works permit.
+When the Document is included in an aggregate, this License does not
+apply to the other works in the aggregate which are not themselves
+derivative works of the Document.
+
+If the Cover Text requirement of section 3 is applicable to these
+copies of the Document, then if the Document is less than one half of
+the entire aggregate, the Document's Cover Texts may be placed on
+covers that bracket the Document within the aggregate, or the
+electronic equivalent of covers if the Document is in electronic form.
+Otherwise they must appear on printed covers that bracket the whole
+aggregate.
+
+
+
+\subsubsection{Translation}
+
+Translation is considered a kind of modification, so you may
+distribute translations of the Document under the terms of section 4.
+Replacing Invariant Sections with translations requires special
+permission from their copyright holders, but you may include
+translations of some or all Invariant Sections in addition to the
+original versions of these Invariant Sections. You may include a
+translation of this License, and all the license notices in the
+Document, and any Warranty Disclaimers, provided that you also include
+the original English version of this License and the original versions
+of those notices and disclaimers. In case of a disagreement between
+the translation and the original version of this License or a notice
+or disclaimer, the original version will prevail.
+
+If a section in the Document is Entitled ``Acknowledgements'',
+``Dedications'', or ``History'', the requirement (section 4) to Preserve
+its Title (section 1) will typically require changing the actual
+title.
+
+
+\subsubsection{Termination}
+
+You may not copy, modify, sublicense, or distribute the Document except
+as expressly provided for under this License. Any other attempt to
+copy, modify, sublicense or distribute the Document is void, and will
+automatically terminate your rights under this License. However,
+parties who have received copies, or rights, from you under this
+License will not have their licenses terminated so long as such
+parties remain in full compliance.
+
+
+\subsubsection{Future Revisions of this License}
+
+The Free Software Foundation may publish new, revised versions
+of the GNU Free Documentation License from time to time. Such new
+versions will be similar in spirit to the present version, but may
+differ in detail to address new problems or concerns. See
+http://www.gnu.org/copyleft/.
+
+Each version of the License is given a distinguishing version number.
+If the Document specifies that a particular numbered version of this
+License ``or any later version'' applies to it, you have the option of
+following the terms and conditions either of that specified version or
+of any later version that has been published (not as a draft) by the
+Free Software Foundation. If the Document does not specify a version
+number of this License, you may choose any version ever published (not
+as a draft) by the Free Software Foundation.
+
+
+\subsubsection{Addendum: How to use this License for your documents}
+
+To use this License in a document you have written, include a copy of
+the License in the document and put the following copyright and
+license notices just after the title page:
+
+\bigskip
+\begin{quote}
+ Copyright \copyright \textsc{year your name}.
+ Permission is granted to copy, distribute and/or modify this document
+ under the terms of the GNU Free Documentation License, Version 1.2
+ or any later version published by the Free Software Foundation;
+ with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
+ A copy of the license is included in the section entitled ``GNU
+ Free Documentation License''.
+\end{quote}
+\bigskip
+
+If you have Invariant Sections, Front-Cover Texts and Back-Cover Texts,
+replace the ``with \dots\ Texts.'' line with this:
+
+\bigskip
+\begin{quote}
+ with the Invariant Sections being \textsc{list their titles}, with the
+ Front-Cover Texts being \textsc{list}, and with the Back-Cover
+ Texts being \textsc{list}.
+\end{quote}
+\bigskip
+
+If you have Invariant Sections without Cover Texts, or some other
+combination of the three, merge those two alternatives to suit the
+situation.
+
+If your document contains nontrivial examples of program code, we
+recommend releasing these examples in parallel under your choice of
+free software license, such as the GNU General Public License,
+to permit their use in free software.
+
+
+
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "beameruserguide"
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-main.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-main.tex
index 992375bc778..e0e49b657d9 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-main.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-main.tex
@@ -1,8 +1,12 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
% pgf version is defined in \pgfversion in file
% generic/pgf/utilities/pgfrcs.code.tex
@@ -12,13 +16,9 @@
\usepackage[version=0.96]{pgf}
\usepackage{tikz}
-\usepackage{pgflibraryarrows}
-\usepackage{pgflibraryshapes}
-\usepackage{pgflibrarysnakes}
-\usepackage{pgflibraryautomata}
-\usepackage{pgflibraryplotmarks}
-\usepackage{pgflibrarytikzbackgrounds}
-\usepackage{pgflibrarytikztrees}
+
+\usetikzlibrary{arrows,patterns,plotmarks,shapes,snakes,er,3d,automata,backgrounds,topaths,trees,petri,mindmap}
+
\usepackage[left=2.25cm,right=2.25cm,top=2.5cm,bottom=2.5cm,nohead]{geometry}
\usepackage{amsmath,amssymb}
\usepackage{xxcolor}
@@ -36,7 +36,7 @@
\renewcommand*\l@subsubsection{\@dottedtocline{3}{4.3em}{3.2em}}
\makeatother
-%\includeonly{pgfmanual-en-tikz-shapes}
+%\includeonly{pgfmanual-en-tutorial-nodes}
% Global styles:
\tikzstyle{every plot}=[prefix=plots/pgf-]
@@ -46,9 +46,13 @@
\index{Options for packages|see{Package options}}
\index{File|see{Packages and files}}
\index{Layout|see{Page layout}}
+\index{Node|see{Predefined node}}
\begin{document}
+%\include{pgfmanual-en-license}
+%\end{document}
+
{
\parindent0pt
\vbox{}
@@ -57,7 +61,7 @@
\tikzname\ and \pgfname
\Large
-Manual for Version \pgfversion
+Manual for version \pgfversion
\vskip 3cm
@@ -86,16 +90,43 @@ Manual for Version \pgfversion
\vskip0pt plus 1fill
Für meinen Vater, damit er noch viele schöne \TeX-Graphiken erschaffen kann.
\vskip0pt plus 3fill
+
+ \parindent=0pt
+ Copyright 2006 by Till Tantau
+
+ \medskip
+ Permission is granted to copy, distribute and/or modify \emph{the documentation}
+ under the terms of the \textsc{gnu} Free Documentation License, Version 1.2
+ or any later version published by the Free Software Foundation;
+ with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
+ A copy of the license is included in the section entitled \textsc{gnu}
+ Free Documentation License.
+
+ \medskip
+ Permission is granted to copy, distribute and/or modify \emph{the
+ code of the package} under the terms of the \textsc{gnu} Public License, Version 2
+ or any later version published by the Free Software Foundation.
+ A copy of the license is included in the section entitled \textsc{gnu}
+ Public License.
+
+ \medskip
+ Permission is also granted to distribute and/or modify \emph{both
+ the documentation and the code} under the conditions of the LaTeX
+ Project Public License, either version 1.3 of this license or (at
+ your option) any later version. A copy of the license is included in
+ the section entitled \LaTeX\ Project Public License.
+
\vbox{}
\clearpage
}
-\title{The \tikzname\ and \pgfname\ Packages\\
- Manual for Version \pgfversion\\[1mm]
+\title{\bfseries The \tikzname\ and {\Large PGF} Packages\\
+ \large Manual for version \pgfversion\\[1mm]
\large\href{http://sourceforge.net/projects/pgf}{\texttt{http://sourceforge.net/projects/pgf}}}
\author{Till Tantau\\
- \href{mailto:tantau@users.sourceforge.net}{\texttt{tantau@users.sourceforge.net}}}
+ \normalsize Institut f\"ur Theoretische Informatik\\[-1mm]
+ \normalsize Universit\"at zu L\"ubeck}
\maketitle
@@ -103,17 +134,18 @@ Manual for Version \pgfversion
\clearpage
-\part{Getting Started}
-This part is intended to help you get started with the \pgfname\
-package. First, the installation process is explained; however, the
-system will typically be already installed on your system, so this can
-often be skipped. Next, a short tutorial is given that explains the
-most often used commands and concepts of \tikzname, without going into
-any of the glorious details. At the end of this section you will find
-some, hopefully useful, hints on how to create ``good'' graphics in
-general. The information in this section is not specific to
-\pgfname.
+\include{pgfmanual-en-introduction}
+
+
+\part{Tutorials and Guidelines}
+
+To help you get started with \tikzname, instead of a long installation
+and configuration section, this manual starts with tutorials. They
+explain all the basic and some of the more advanced features of the
+system, without going into all the details. This part also contains
+some guidelines on how you should proceed when creating graphics using
+\tikzname.
\vskip3cm
@@ -122,10 +154,46 @@ general. The information in this section is not specific to
(0,0) -- (0,2) -- (1,3.25) -- (2,2) -- (2,0) -- (0,2) -- (2,2) -- (0,0) -- (2,0);
\end{codeexample}
-\include{pgfmanual-en-introduction}
-\include{pgfmanual-en-installation}
\include{pgfmanual-en-tutorial}
+\include{pgfmanual-en-tutorial-nodes}
\include{pgfmanual-en-guidelines}
+
+
+
+\part{Installation and Configuration}
+
+This part explains how the system is installed. Typically, someone has
+already done so for your system, so this part can be skipped; but if
+this is not the case and you are the poor fellow who has to do the
+installation, read the present part.
+
+
+\vskip2cm
+
+\begin{codeexample}[graphic=white]
+\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node distance=2.8cm,semithick]
+ \tikzstyle{every state}=[fill=red,draw=none,text=white]
+
+ \node[initial,state] (A) {$q_a$};
+ \node[state] (B) [above right of=A] {$q_b$};
+ \node[state] (D) [below right of=A] {$q_d$};
+ \node[state] (C) [below right of=B] {$q_c$};
+ \node[state] (E) [below of=D] {$q_e$};
+
+ \path (A) edge node {0,1,L} (B)
+ edge node {1,1,R} (C)
+ (B) edge [loop above] node {1,1,L} (B)
+ edge node {0,1,L} (C)
+ (C) edge node {0,1,L} (D)
+ edge [bend left] node {1,0,R} (E)
+ (D) edge [loop below] node {1,1,R} (D)
+ edge node {0,1,R} (A)
+ (E) edge [bend left] node {1,0,R} (A);
+\end{tikzpicture}
+\end{codeexample}
+
+\include{pgfmanual-en-installation}
+\include{pgfmanual-en-license}
\include{pgfmanual-en-drivers}
@@ -178,18 +246,107 @@ general. The information in this section is not specific to
-\part{Libraries and Utilities}
+\part{Libraries}
\label{part-libraries}
-In this part the library and utility packages are documented. The
-library packages provide additional predefined graphic objects like
-new arrow heads, or new plot marks. These are not loaded by default
-since many users will not need them.
+In this part the library packages are documented. They
+provide additional predefined graphic objects like new arrow heads or
+new plot marks. These are not loaded by default since many users will
+not need them.
+
+\medskip
+\noindent
+\begin{codeexample}[graphic=white]
+\tikzstyle{level 1}=
+ [level distance=4.5mm, trunk, line width=1ex ,sibling angle=60]
+\tikzstyle{level 2}=
+ [level distance=3.5mm, trunk!80!leaf a,line width=.8ex,sibling angle=56]
+\tikzstyle{level 3}=
+ [level distance=2.75mm,trunk!60!leaf a,line width=.6ex,sibling angle=52]
+\tikzstyle{level 4}=
+ [level distance=2mm, trunk!40!leaf a,line width=.4ex,sibling angle=48]
+\tikzstyle{level 5}=
+ [level distance=1mm, trunk!20!leaf a,line width=.3ex,sibling angle=44]
+\tikzstyle{level 6}=
+ [level distance=1.75mm,leaf a, line width=.2ex,sibling angle=40]
+
+\pgfarrowsdeclare{leaf}{leaf}
+{\pgfarrowsleftextend{-2pt} \pgfarrowsrightextend{1pt}}
+{
+ \pgfpathmoveto{\pgfpoint{-2pt}{0pt}}
+ \pgfpatharc{150}{30}{1.8pt}
+ \pgfpatharc{-30}{-150}{1.8pt}
+ \pgfusepathqfill
+}
+
+
+\newcommand{\tcslogo}[5]
+{
+ \colorlet{border}{#1}
+ \colorlet{trunk}{#2}
+ \colorlet{leaf a}{#3}
+ \colorlet{leaf b}{#4}
+ \begin{tikzpicture}
+ \scriptsize\scshape
+ \draw[border,line width=1ex,yshift=.3cm,
+ yscale=1.45,xscale=1.05,looseness=1.42]
+ (1,0) to [out=90, in=0] (0,1) to [out=180,in=90] (-1,0)
+ to [out=-90,in=-180] (0,-1) to [out=0, in=-90] (1,0) -- cycle;
+
+ \coordinate (root) [grow cyclic,rotate=90]
+ child {
+ child [cap=round] foreach \a in {0,1} {
+ child foreach \b in {0,1} {
+ child foreach \c in {0,1} {
+ child foreach \d in {0,1} {
+ child foreach \leafcolor in {leaf a,leaf b}
+ { edge from parent [color=\leafcolor,-#5] }
+ }
+ }
+ }
+ } edge from parent [shorten >=-1pt,serif cm-,cap=butt]
+ };
+
+ \node [text centered,text width=2cm,below] at (0pt,-.5ex)
+ { \textcolor{border}{T}heoretical \\
+ \textcolor{border}{C}omputer \\
+ \textcolor{border}{S}cience };
+ \end{tikzpicture}
+}
+\begin{minipage}{3cm}
+ \tcslogo{green!80!black}{green!25!black}{green}{green!80}{leaf}\\
+ \tcslogo{green!50!black}{black}{green!80!black}{red!80!green}{leaf}\\
+ \tcslogo{red!75!black}{red!25!black}{red!75!black}{orange}{leaf}\\
+ \tcslogo{black!50}{black}{black!50}{black!25}{}
+\end{minipage}
+\end{codeexample}
+
+\include{pgfmanual-en-library-arrows}
+\include{pgfmanual-en-library-automata}
+\include{pgfmanual-en-library-backgrounds}
+\include{pgfmanual-en-library-er}
+\include{pgfmanual-en-library-mindmaps}
+\include{pgfmanual-en-library-patterns}
+\include{pgfmanual-en-library-petri}
+\include{pgfmanual-en-library-plot-handlers}
+\include{pgfmanual-en-library-plot-marks}
+\include{pgfmanual-en-library-shapes}
+\include{pgfmanual-en-library-snakes}
+%\include{pgfmanual-en-library-3d}
+\include{pgfmanual-en-library-edges}
+\include{pgfmanual-en-library-trees}
+
+
+
+
+\part{Utilities}
+\label{part-utilities}
The utility packages are not directly involved in creating graphics,
but you may find them useful nonetheless. All of them either directly
depend on \pgfname\ or they are designed to work well together with
\pgfname\ even though they can be used in a stand-alone way.
+
\vskip2cm
\medskip
\noindent
@@ -214,7 +371,6 @@ depend on \pgfname\ or they are designed to work well together with
\end{tikzpicture}
\end{codeexample}
-\include{pgfmanual-en-libraries}
\include{pgfmanual-en-pgffor}
\include{pgfmanual-en-pages}
\include{pgfmanual-en-xxcolor}
@@ -261,6 +417,7 @@ depend on \pgfname\ or they are designed to work well together with
\include{pgfmanual-en-base-arrows}
\include{pgfmanual-en-base-nodes}
\include{pgfmanual-en-base-transformations}
+\include{pgfmanual-en-base-patterns}
\include{pgfmanual-en-base-images}
\include{pgfmanual-en-base-shadings}
\include{pgfmanual-en-base-plots}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pages.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pages.tex
index 3b6480b4f8e..f6097340d54 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pages.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pages.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Page Management}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgffor.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgffor.tex
index 566464c5ea0..a2be81b9d7d 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgffor.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgffor.tex
@@ -1,8 +1,12 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\section{Repeating Things: The Foreach Statement}
\label{section-foreach}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-commands.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-commands.tex
index 743e357485c..fb302c207b6 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-commands.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-commands.tex
@@ -1,8 +1,12 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\section{Commands of the System Layer}
@@ -612,6 +616,52 @@ whenever a stroking or a filling operation is done.
\end{command}
+
+
+\subsection{Pattern System Commands}
+
+
+\begin{command}{\pgfsys@declarepattern
+ \marg{name}\marg{$x_1$}\marg{$y_1$}\marg{$x_2$}\marg{$y_2$}
+ \marg{$x$ step}\marg{$y$ step}\marg{code}\marg{flag}}
+ This command declares a new colored or uncolored pattern, depending
+ on whether \meta{flag} is |0|, which means uncolored, or |1|, which
+ means colored. Uncolored patterns have no inherent color, the color
+ is provided when they are set. Colored patters have an inherent
+ color.
+
+ The \meta{name} is a name for later use when the pattern is to be
+ shown. The pairs $(x_1,y_1)$ and $(x_2,y_2)$ must describe a
+ bounding box of the pattern \meta{code}.
+
+ The tiling step of the pattern is given by \meta{$x$ step} and
+ \meta{$y$ step}.
+
+ \example
+\begin{codeexample}[code only]
+\pgfsys@declarepattern{hori}{-.5pt}{0pt}{.5pt}{3pt}{3pt}{3pt}
+{\pgfsys@moveto{0pt}{0pt}\pgfsys@lineto{0pt}{3pt}\pgfsys@stroke}
+{0}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsys@setpatternuncolored\marg{name}\marg{red}\marg{green}\marg{blue}}
+ Sets the fill color to the pattern named \meta{name}. This pattern
+ must previously have been declared with \meta{flag} set to |0|. The
+ color of the pattern is given in the parameters \meta{red},
+ \meta{green}, and \meta{blue} in the usual way.
+
+ The fill color ``pattern'' will persist till the next color command
+ that modifies the fill color.
+\end{command}
+
+\begin{command}{\pgfsys@setpatterncolored\marg{name}}
+ Sets the fill color to the pattern named \meta{name}. This pattern
+ must have been declared with the |1| flag.
+\end{command}
+
+
+
\subsection{Scoping System Commands}
The scoping commands are used to keep changes of the graphics state
@@ -837,6 +887,81 @@ commands do not open a graphics scope and can be opened and closed
\end{command}
+\subsection{Position Tracking Commands}
+
+The following commands are used to determine the position of text on a
+page. This is a rather complicated process in general since at the
+moment when the text is read by \TeX\ the final position cannot be
+determined, yet. For example, the text might be put in a box which is
+later put in the headline or perhaps in the footline or perhaps even
+on a different page.
+
+For these reasons, position tracking is typically a two-stage
+process. In a first stage you indicate that a certain position is of
+interest by \emph{marking} it. This will (depending on the details of
+the backend driver) cause page coordinates or this position to be
+written to a |.aux| file when the page is shipped. Possibly, the
+position might also be determined at an even later stage. Then, on a
+second run of \TeX, the position is read from the |.aux| file and can
+be used.
+
+\begin{command}{\pgfsys@markposition\marg{name}}
+ Marks a position on the page. This command should be given while
+ normal typesetting is done such as in
+\begin{codeexample}[code only]
+The value of $x$ is \pgfsys@markposition{here}important.
+\end{codeexample}
+ It causes the position |here| to be saved when the page is shipped
+ out.
+\end{command}
+
+\begin{command}{\pgfsys@getposition\marg{name}\marg{macro}}
+ This command retrieves a position that has been marked on an earlier
+ run of \TeX\ on the current file. The \meta{macro} must be a macro
+ name such as |\mymarco|. It will redefined such that it is
+ \begin{itemize}
+ \item either just |\relax| or
+ \item a |\pgfpoint...| command.
+ \end{itemize}
+ The first case will happen when the position has not been marked at
+ all or when the file is typeset for the first time, when the
+ coordinates are not yet available.
+
+ In the second case, executing \meta{macro} yields the position on
+ the page that is to be interpreted as follows: A coordinate like
+ |\pgfpoint{2cm}{3cm}| means ``2cm to the right and 3cm up from the
+ origin of the page.'' The position of the origin of the page is not
+ guaranteed to be at the lower left corner, it is only guaranteed
+ that all pictures on a page use the same origin.
+
+ To determine the lower left corner of a page, you can call
+ |\pgfsys@getposition| with \meta{name} set to the special name
+ |pgfpageorigin|. By shifting all positions by the amount returned by
+ this call you can position things absolutely on a page.
+
+ \example Referencing a point or the page:
+\begin{codeexample}[code only]
+The value of $x$ is \pgfsys@markposition{here}important.
+
+Lots of text.
+
+\hbox{\pgfsys@markposition{myorigin}%
+\begin{pgfpicture}
+ % Switch of size protocol
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfusepath{use as bounding box}
+
+ \pgfsys@getposition{here}{\hereposition}
+ \pgfsys@getposition{myorigin}{\thispictureposition}
+
+ \pgftransformshift{\pgfpointscale{-1}{\thispictureposition}}
+ \pgftransformshift{\hereposition}
+
+ \pgfpathcircle{\pgfpointorigin}{1cm}
+ \pgfusepath{draw}
+\end{pgfpicture}}
+\end{codeexample}
+\end{command}
\subsection{Internal Conversion Commands}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-overview.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-overview.tex
index 091afdc9e80..e2ec6f4e8ef 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-overview.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-overview.tex
@@ -1,8 +1,13 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
\section{Design of the System Layer}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-paths.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-paths.tex
index 0b87a7d108b..8cf776ca3dd 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-paths.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-paths.tex
@@ -1,8 +1,13 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
\section{The Soft Path Subsystem}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-protocol.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-protocol.tex
index 53e78421957..b02713dc849 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-protocol.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-protocol.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{The Protocol Subsystem}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-actions.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-actions.tex
index 4539f7be0fb..33bca9f97ac 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-actions.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-actions.tex
@@ -1,9 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Actions on Paths}
@@ -68,6 +70,10 @@ abbreviations:
Inside |{tikzpicture}| this is an abbreviation for |\path[fill,draw]|.
\end{command}
+\begin{command}{\pattern}
+ Inside |{tikzpicture}| this is an abbreviation for |\path[pattern]|.
+\end{command}
+
\begin{command}{\shade}
Inside |{tikzpicture}| this is an abbreviation for |\path[shade]|.
\end{command}
@@ -682,6 +688,73 @@ To fill a path, use the following option:
\end{itemize}
+
+\subsubsection{Graphic Parameters: Fill Pattern}
+
+\label{section-fill-pattern}
+Instead of filling a path with a single solid color, it is also
+possible to fill it with a \emph{tiling pattern}. Imagine a small tile
+that contains a simple picture like a star. Then these tiles are
+(conceptually) repeated infinitely in all directions, but clipped
+against the path.
+
+Tiling patterns come in two variants: \emph{inherently
+ colored patterns} and \emph{form-only patterns}. An inherently colored
+pattern is, say, a red star with a black border and will always look
+like this. A form-only pattern may have a different color each time
+it is used, only the form of the pattern will stay the same. As such,
+form-only patterhns do not have any colors of their own, but when it
+is used the current \emph{pattern color} is used as its color.
+
+Patterns are not overly flexible. In particular, it is not possible to
+change the size or orientation of a pattern without declaring a new
+pattern. For complicated case, it may be easier to use two nested
+|\foreach| statements to simulate a pattern, but patterns are rendered
+\emph{much} more quickly than simulated ones.
+
+\begin{itemize}
+ \itemoption{pattern}\opt{|=|\meta{name}}
+ This option causes the path to be filled with a pattern. If the
+ \meta{name} is given, this pattern is used, otherwise the pattern
+ set in the enclosing scope is used. As for the |draw| and |fill|
+ options, setting \meta{name} to |none| disables filling locally.
+
+ The pattern works like a fill color. In particular, setting a new
+ fill color will fill the path with a solid color once more.
+
+ Strangely, no \meta{name}s are permissible by default. You neet to
+ load for instance |pgflibrarypatterns|, see
+ Section~\ref{section-library-patterns}, to install predefined
+ patterns.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[pattern=dots] (0,0) circle (1cm);
+ \draw[pattern=fivepointed stars] (0,0) rectangle (3,1);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{pattern color}|=|\meta{color}
+ This option is used to set the color to be used for form-only
+ patterns. This option has no effect on inherently colored patterns.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[pattern color=red,pattern=fivepointed stars] (0,0) circle (1cm);
+ \draw[pattern color=blue,pattern=fivepointed stars] (0,0) rectangle (3,1);
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \def\mypath{(0,0) -- +(0,1) arc (180:0:1.5cm) -- +(0,-1)}
+ \fill [red] \mypath;
+ \pattern[pattern color=white,pattern=bricks] \mypath;
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
\subsubsection{Graphic Parameters: Interior Rules}
The following two options can be used to decide how interior points
@@ -708,8 +781,8 @@ should be determined:
% Counter-clockwise rectangle
(0.25,0.25) -- (0.75,0.25) -- (0.75,0.75) -- (0.25,0.75) -- cycle;
- \draw[->] (0,1) (.4,1);
- \draw[->] (0.75,0.75) (0.3,.75);
+ \draw[->] (0,1) -- (.4,1);
+ \draw[->] (0.75,0.75) -- (0.3,.75);
\draw[->] (0.5,0.5) -- +(0,1) node[above] {crossings: $-1+1 = 0$};
@@ -720,8 +793,8 @@ should be determined:
% Clockwise rectangle
(0.25,0.25) -- (0.25,0.75) -- (0.75,0.75) -- (0.75,0.25) -- cycle;
- \draw[->] (0,1) (.4,1);
- \draw[->] (0.25,0.75) (0.4,.75);
+ \draw[->] (0,1) -- (.4,1);
+ \draw[->] (0.25,0.75) -- (0.4,.75);
\draw[->] (0.5,0.5) -- +(0,1) node[above] {crossings: $1+1 = 2$};
\end{scope}
@@ -1033,9 +1106,12 @@ right of picture.
There is a node that allows you to get the size of the current
bounding box. The |current bounding box| node has the |rectangle|
-shape |rectangle| shape and its size is always the size of the current
+shape and its size is always the size of the current
bounding box.
+Similarly, the |current path bounding box| node has the |rectangle|
+hape and the size of the bounding box of the current path.
+
\begin{codeexample}[]
\begin{tikzpicture}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-coordinates.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-coordinates.tex
index 6ce31747a18..c10e98f39d5 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-coordinates.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-coordinates.tex
@@ -1,20 +1,63 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Specifying Coordinates}
-\subsection{Coordinates and Coordinate Options}
+\subsection{Overview}
-A \emph{coordinate} is a position in a picture. \tikzname\ uses a
-special syntax for specifying coordinates. Coordinates are always put
-in round brackets. The general syntax is
+A \emph{coordinate} is a position on the canvas on which your picture
+is drawn. \tikzname\ uses a special syntax for specifying
+coordinates. Coordinates are always put in round brackets. The general
+syntax is
\declare{|(|\opt{|[|\meta{options}|]|}\meta{coordinate specification}|)|}.
+The \meta{coordinate specification} specified coordinates using one of
+many different possible \emph{coordinate systems}. Examples are the
+Cartesian coordinate system or polar coordinates or spherical
+coordinates. No matter which coordinate system is used, in the end, a
+specific point on the canvas is represented by the coordinate.
+
+There are two ways of specifying which coordinate system should be used:
+\begin{description}
+\item[Explicitly] You can specify the coordinate system explicitly. To
+ do so, you give the name of the coordinate system at the beginning,
+ followed by |cs:|, which stands for ``coordinate system,'' followed
+ by a specification of the coordinate using the key-value
+ syntax. Thus, the general syntax for \meta{coordinate specification}
+ in the explicit case is |(|\meta{coordinate system}| cs:|\meta{list
+ of key-value pairs specific to the coordinate system}|)|.
+\item[Implicitly] The explicit specification is often too verbose when
+ numerous coordinates should be given. Because of this, for the
+ coordinate systems that you are likely to use often a special syntax
+ is provided. \tikzname\ will notice when you use a coordinate
+ specified in a special syntax and will choose the correct coordinate
+ system automatically.
+\end{description}
+
+Here is an example in which explicit the coordinate systems are
+specified explicitly:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (canvas cs:x=0cm,y=2mm)
+ -- (canvas polar cs:radius=2cm,angle=30);
+\end{tikzpicture}
+\end{codeexample}
+In the next example, the coordinate systems are implicit:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0cm,2mm) -- (30:2cm);
+\end{tikzpicture}
+\end{codeexample}
+
It is possible to give options that apply only to a single
coordinate, although this makes sense for transformation options
only. To give transformation options for a single coordinate, give
@@ -29,82 +72,205 @@ these options at the beginning in brackets:
\end{tikzpicture}
\end{codeexample}
-\subsection{Simple Coordinates}
-The simplest way to specify coordinates is as a comma-separated pair
-of \TeX\ dimensions as in |(1cm,2pt)| or |(2cm,\textheight)|. As can
-be seen, different units can be mixed. The coordinate specified in
-this way means ``1cm to the right and 2pt up from the origin of the
-picture.'' You can also write things like |(1cm+2pt,2pt)| since the
-|calc| package is used.
+\subsection{Coordinate Systems}
+\subsubsection{Canvas, XYZ, and Polar Coordinate Systems}
-\subsection{Polar Coordinates}
+Let us start with the basic coordinate systems.
-You can also specify coordinates in polar coordinates. In this case,
-you specify an angle and a distance, separated by a colon as in
-|(30:1cm)|. The angle must always be given in degrees and should be
-between $-360$ and $720$.
+\begin{coordinatesystem}{canvas}
+ The simplest way of specifying a coordinate is to use the |canvas|
+ coordinate system. You provide a dimension $d_x$ using the |x=|
+ option and another dimension $d_y$ using the |y=| option. The position on
+ the canvas is located at the position that is $d_x$ to the right and
+ $d_y$ above the origin.
+ \begin{itemize}
+ \itemoption{x}|=|\meta{dimension} Distance by which the coordinate
+ is to the right of the origin. You can also write things like
+ |1cm+2pt| since the |calc| package is used.
+ \itemoption{y}|=|\meta{dimension} Distance by which the coordinate
+ is above the origin.
+ \end{itemize}
\begin{codeexample}[]
-\tikz \draw (0cm,0cm) -- (30:1cm) -- (60:1cm) -- (90:1cm)
- -- (120:1cm) -- (150:1cm) -- (180:1cm);
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+
+ \fill (canvas cs:x=1cm,y=1.5cm) circle (2pt);
+ \fill (canvas cs:x=2cm,y=-5mm+2pt) circle (2pt);
+\end{tikzpicture}
\end{codeexample}
-Instead of an angle given as a number you can also use certain
-words. For example, |up| is the same as |90|, so that you can write
-|\tikz \draw (0,0) -- (2ex,0pt) -- +(up:1ex);|
-and get \tikz \draw (0,0) -- (2ex,0pt) -- +(up:1ex);. Apart from |up|
-you can use |down|, |left|, |right|, |north|, |south|, |west|, |east|,
-|north east|, |north west|, |south east|, |south west|, all of which
-have their natural meaning.
+ To specify a coordinate in the coordinate system implicitly, you use
+ two dimensions that are seperated by a comma as in |(0cm,3pt)| or
+ |(2cm,\textheight)|.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \fill (1cm,1.5cm) circle (2pt);
+ \fill (2cm,-5mm+2pt) circle (2pt);
+\end{tikzpicture}
+\end{codeexample}
+\end{coordinatesystem}
+
+
+\begin{coordinatesystem}{xyz}
+ The |xyz| coordinate system allows you to specify a point as a
+ multiple of three vectors called the $x$-, $y$-, and
+ $z$-vectors. By default, the $x$-vector points 1cm to the right,
+ the $y$-vector points 1cm upwards, but this can be changed
+ arbitrarily as explained in Section~\ref{section-xyz}. The default
+ $z$-vector points to $\bigl(-\frac{1}{\sqrt2}
+ \textrm{cm},-\frac{1}{\sqrt2}\textrm{cm}\bigr)$.
+
+ To specify the factors by which the vectors should be multiplied
+ before being added, you use the following three options:
+ \begin{itemize}
+ \itemoption{x}|=|\meta{factor} Factor by which the $x$-vector is
+ multiplied. If this option is not given, |0| is used.
+ \itemoption{y}|=|\meta{factor} Works like |x|.
+ \itemoption{z}|=|\meta{factor} Works like |x|.
+ \end{itemize}
+\begin{codeexample}[]
+\begin{tikzpicture}[->]
+ \draw (0,0) -- (xyz cs:x=1);
+ \draw (0,0) -- (xyz cs:y=1);
+ \draw (0,0) -- (xyz cs:z=1);
+\end{tikzpicture}
+\end{codeexample}
+ This coordinate system can also be selected implicitly. To do so,
+ you just provide two or three comma-seperated factors (not
+ dimensions).
+\begin{codeexample}[]
+\begin{tikzpicture}[->]
+ \draw (0,0) -- (1,0);
+ \draw (0,0) -- (0,1,0);
+ \draw (0,0) -- (0,0,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{coordinatesystem}
+
+
+\begin{coordinatesystem}{canvas polar}
+ The |canvas polar| coordinate system allows you to specify
+ polar coordinates. You provide an angle using the |angle=| option
+ and a radius using the |radius=| option. This yields the point on
+ the canvas that is at the given radius distance from the origin at
+ the given degree. A degree of zero points to the right, a degree of
+ 90 upward.
+ \begin{itemize}
+ \itemoption{angle}|=|\meta{degrees} The angle of the coordinate.
+ The angle must always be given in degrees and should be between
+ $-360$ and $720$.
+ \itemoption{radius}|=|\meta{dimension} The distance from the origin.
+ \itemoption{x radius}|=|\meta{dimension} A polar coordinate is,
+ after all, just a point on a circle of the given \meta{radius}. When
+ you provide an $x$-radius and also a $y$-radius, you specify an
+ ellipse instead of a circle. The |radius| option has the same effect
+ as specifiying identical |x radius| and |y radius| options.
+ \itemoption{y radius}|=|\meta{dimension} Works like |x radius|.
+ \end{itemize}
+\begin{codeexample}[]
+\tikz \draw (0,0) -- (canvas polar cs:angle=30,radius=1cm);
+\end{codeexample}
-\subsection{Xy- and Xyz-Coordinates}
+ The implicit form for canvas polar coodinates is the following:
+ you specify the angle and the distance, separated by a colon as in
+ |(30:1cm)|.
-You can specify coordinates in \pgfname's $xy$-coordinate system. In
-this case, you provide two unit-free numbers, separated by a comma as
-in |(2,-3)|. This means ``add twice the current \pgfname\ $x$-vector and
-subtract three times the $y$-vector.'' By default, the $x$-vector
-points 1cm to the right, the $y$-vector points 1cm upwards, but this
-can be changed arbitrarily using the |x| and~|y| graphic options.
+\begin{codeexample}[]
+\tikz \draw (0cm,0cm) -- (30:1cm) -- (60:1cm) -- (90:1cm)
+ -- (120:1cm) -- (150:1cm) -- (180:1cm);
+\end{codeexample}
-Similarly, you can specify coordinates in the $xyz$-coordinate
-system. The only difference to the $xy$-coordinates is that you
-specify three numbers separated by commas as in |(1,2,3)|. This is
-interpreted as ``once the $x$-vector plus twice the $y$-vector plus
-three times the $z$-vector.'' The default $z$-vector points to
-$\bigl(-\frac{1}{\sqrt2}
-\textrm{cm},-\frac{1}{\sqrt2}\textrm{cm}\bigr)$. Consider the
-following example:
+ Two different radii are specified by writing |(30:1cm and 2cm)|.
+
+ For the implicit form, instead of an angle given as a number you can
+ also use certain words. For example, |up| is the same as |90|, so
+ that you can write |\tikz \draw (0,0) -- (2ex,0pt) -- +(up:1ex);|
+ and get \tikz \draw (0,0) -- (2ex,0pt) -- +(up:1ex);. Apart from |up|
+ you can use |down|, |left|, |right|, |north|, |south|, |west|, |east|,
+ |north east|, |north west|, |south east|, |south west|, all of which
+ have their natural meaning.
+\end{coordinatesystem}
+
+\begin{coordinatesystem}{xyz polar}
+ This coordinate system work similarly to the |canvas polar|
+ system. However, the radius and the angle are interpreted in the
+ $xy$-coordinate system, not in the canvas system. More detailedly,
+ consider the circle or ellipse whose half axes are given by the
+ current $x$-vector and the current $y$-vector. Then, consider the
+ point that lies at a given angle on this ellipse, where an angle of
+ zero is the same as the $x$-vector and an angle of 90 is the
+ $y$-vector. Finally, multiply the resulting vector by the given
+ radius factor. Voilà.
+ \begin{itemize}
+ \itemoption{angle}|=|\meta{degrees} The angle of the coordinate
+ interpreted in the ellipse whose axes are the $x$-vector and the
+ $y$-vector.
+ \itemoption{radius}|=|\meta{factor} A factor by which the $x$-vector
+ and $y$-vector are multiplied prior to forming the ellipse.
+ \itemoption{x radius}|=|\meta{dimension} A specific factor by which
+ only the $x$-vector is multiplied.
+ \itemoption{y radius}|=|\meta{dimension} works like |x radius|.
+ \end{itemize}
+\begin{codeexample}[]
+\begin{tikzpicture}[x=1.5cm,y=1cm]
+ \draw[help lines] (0cm,0cm) grid (3cm,2cm);
+
+ \draw (0,0) -- (xyz polar cs:angle=0,radius=1);
+ \draw (0,0) -- (xyz polar cs:angle=30,radius=1);
+ \draw (0,0) -- (xyz polar cs:angle=60,radius=1);
+ \draw (0,0) -- (xyz polar cs:angle=90,radius=1);
+
+ \draw (xyz polar cs:angle=0,radius=2)
+ -- (xyz polar cs:angle=30,radius=2)
+ -- (xyz polar cs:angle=60,radius=2)
+ -- (xyz polar cs:angle=90,radius=2);
+ \end{tikzpicture}
+\end{codeexample}
+
+ The implicit version of this option is the same as the implicit
+ version of |canvas polar|, only you do not provide a unit.
\begin{codeexample}[]
-\begin{tikzpicture}[->]
- \draw (0,0,0) -- (1,0,0);
- \draw (0,0,0) -- (0,1,0);
- \draw (0,0,0) -- (0,0,1);
-\end{tikzpicture}
+\tikz[x={(0cm,1cm)},y={(-1cm,0cm)}]
+ \draw (0,0) -- (30:1) -- (60:1) -- (90:1)
+ -- (120:1) -- (150:1) -- (180:1);
\end{codeexample}
+\end{coordinatesystem}
+
+\begin{coordinatesystem}{xy polar}
+ This is just an alias for |xyz polar|, which some people might
+ prefer as there is no x-coordinate involved in the |xyz polar|
+ coordinates.
+\end{coordinatesystem}
-\subsection{Node Coordinates}
+\subsubsection{Node Coordinate System}
\label{section-node-coordinates}
In \pgfname\ and in \tikzname\ it is quite easy to define a node that you
wish to reference at a later point. Once you have defined a node,
-there are different ways of referencing points of the node.
-
-
-\subsubsection{Named Anchor Coordinates}
-
-An \emph{anchor coordinate} is a point in a node that you have
-previously defined using the node operation. The syntax is
-|(|\meta{node name}|.|\meta{anchor}|)|, where \meta{node name} is
-the name that was previously used to name the node using the
-|name=|\meta{node name} option or the special node name syntax. Here is
-an example:
-
+there are different ways of referencing points of the node. To do so,
+you use the following coordinate system:
+
+\begin{coordinatesystem}{node}
+ This coordinate system is used to reference a specific point inside
+ or on the border of a previously defined node. It can be used in
+ different ways, so let us go over them one by one.
+
+ You can use three options to specify which coordinate you mean:
+ \begin{itemize}
+ \itemoption{name}|=|\meta{node name} specifies the node in which you
+ which to specify a coordinate. The \meta{node name} is
+ the name that was previously used to name the node using the
+ |name=|\meta{node name} option or the special node name syntax.
+ \itemoption{anchor}|=|\meta{anchor} specifies an anchor of the
+ node. Here is an example:
\begin{codeexample}[]
\begin{tikzpicture}
\node (shape) at (0,2) [draw] {|class Shape|};
@@ -112,77 +278,64 @@ an example:
\node (circle) at (2,0) [draw] {|class Circle|};
\node (ellipse) at (6,0) [draw] {|class Ellipse|};
- \draw (circle.north) |- (0,1);
- \draw (ellipse.north) |- (0,1);
- \draw[-open triangle 90] (rect.north) |- (0,1) -| (shape.south);
+ \draw (node cs:name=circle,anchor=north) |- (0,1);
+ \draw (node cs:name=ellipse,anchor=north) |- (0,1);
+ \draw[-open triangle 90] (node cs:name=rect,anchor=north)
+ |- (0,1) -| (node cs:name=shape,anchor=south);
\end{tikzpicture}
\end{codeexample}
-
-Section~\ref{section-the-shapes} explain which anchors are available
-for the basic shapes.
-
-
-
-
-\subsubsection{Angle Anchor Coordinates}
-
-In addition to the named anchors, it is possible to use the syntax
-\meta{node name}|.|\meta{angle} to name a point of the node's
-border. This point is the coordinate where a ray shot from the center
-in the given angle hits the border. Here is an example:
-
+ \itemoption{angle}|=|\meta{degrees}
+ It is also possible to provide an angle \emph{instead} of an
+ anchor. This coordinate refers to a point of the node's
+ border where a ray shot from the center
+ in the given angle hits the border. Here is an example:
\begin{codeexample}[]
\begin{tikzpicture}
\node (start) [draw,shape=ellipse] {start};
\foreach \angle in {-90, -80, ..., 90}
- \draw (start.\angle) .. controls +(\angle:1cm) and +(-1,0) .. (2.5,0);
+ \draw (node cs:name=start,angle=\angle)
+ .. controls +(\angle:1cm) and +(-1,0) .. (2.5,0);
\end{tikzpicture}
\end{codeexample}
+ \end{itemize}
-
-\subsubsection{Anchor-Free Node Coordinates}
-
-It is also possible to just ``leave out'' the anchor and have \tikzname\
-calculate an appropriate border position for you. Here is an example:
+ It is possible to provide \emph{neither} the |anchor=| option nor
+ the |angle=| option. In this case, \tikzname\ will calculate an
+ appropriate border position for you. Here is an example:
\begin{codeexample}[]
-\begin{tikzpicture}[fill=blue!20]
- \draw[style=help lines] (-1,-2) grid (6,3);
- \path (0,0) node(a) [ellipse,rotate=10,draw,fill] {An ellipse}
- (3,-1) node(b) [circle,draw,fill] {A circle}
- (2,2) node(c) [rectangle,rotate=20,draw,fill] {A rectangle}
- (5,2) node(d) [rectangle,rotate=-30,draw,fill] {Another rectangle};
- \draw[thick] (a) -- (b) -- (c) -- (d);
- \draw[thick,red,->] (a) |- +(1,3) -| (c) |- (b);
- \draw[thick,blue,<->] (b) .. controls +(right:2cm) and +(down:1cm) .. (d);
+\begin{tikzpicture}
+ \path (0,0) node(a) [ellipse,rotate=10,draw] {An ellipse}
+ (3,-1) node(b) [circle,draw] {A circle};
+ \draw[thick] (node cs:name=a) -- (node cs:name=b);
\end{tikzpicture}
\end{codeexample}
-\tikzname\ will be reasonably clever at determining the border points that
-you ``mean,'' but, naturally, this may fail in some situations. If
-\tikzname\ fails to determine an appropriate border point, the center will
-be used instead.
-
-Automatic computation of anchors works only with the line-to operations
-|--|, the vertical/horizontal versions \verb!|-! and \verb!-|!, and
-with the curve-to operation |..|. For other path commands, such as
-|parabola| or |plot|, the center will be used. If this is not desired,
-you should give a named anchor or an angle anchor.
-
-Note that if you use an automatic coordinate for both the start and
-the end of a line-to, as in |--(b)--|, then \emph{two} border
-coordinates are computed with a move-to between them. This is usually
-exactly what you want.
-
-If you use relative coordinates together with automatic anchor
-coordinates, the relative coordinates are always computed relative to
-the node's center, not relative to the border point. Here is an
-example:
+ \tikzname\ will be reasonably clever at determining the border points that
+ you ``mean,'' but, naturally, this may fail in some situations. If
+ \tikzname\ fails to determine an appropriate border point, the center will
+ be used instead.
+
+ Automatic computation of anchors works only with the line-to operations
+ |--|, the vertical/horizontal versions \verb!|-! and \verb!-|!, and
+ with the curve-to operation |..|. For other path commands, such as
+ |parabola| or |plot|, the center will be used. If this is not desired,
+ you should give a named anchor or an angle anchor.
+
+ Note that if you use an automatic coordinate for both the start and
+ the end of a line-to, as in |--(node cs:name=b)--|, then \emph{two}
+ border coordinates are computed with a move-to between them. This
+ is usually exactly what you want.
+
+ If you use relative coordinates together with automatic anchor
+ coordinates, the relative coordinates are computed relative to
+ the node's center, not relative to the border point. Here is an
+ example:
\begin{codeexample}[]
\tikz \draw (0,0) node(x) [draw] {Text}
rectangle (1,1)
- (x) -- +(1,1);
+ (node cs:name=x) -- +(1,1);
\end{codeexample}
Similarly, in the following examples both control points are $(1,1)$:
@@ -190,23 +343,52 @@ Similarly, in the following examples both control points are $(1,1)$:
\begin{codeexample}[]
\tikz \draw (0,0) node(x) [draw] {X}
(2,0) node(y) {Y}
- (x) .. controls +(1,1) and +(-1,1) .. (y);
+ (node cs:name=x) .. controls +(1,1) and +(-1,1) ..
+ (node cs:name=y);
\end{codeexample}
-
-\subsection{Intersection Coordinates}
+ The implicit way of specifying the node coordinate system is to
+ simply use the name of the node in parentheses as in |(a)| or to
+ specify a name together with an anchor or an angle separated by a
+ dot as in |(a.north)| or |(a.10)|.
+
+ Here is a more complete example:
+\begin{codeexample}[]
+\begin{tikzpicture}[fill=blue!20]
+ \draw[style=help lines] (-1,-2) grid (6,3);
+ \path (0,0) node(a) [ellipse,rotate=10,draw,fill] {An ellipse}
+ (3,-1) node(b) [circle,draw,fill] {A circle}
+ (2,2) node(c) [rectangle,rotate=20,draw,fill] {A rectangle}
+ (5,2) node(d) [rectangle,rotate=-30,draw,fill] {Another rectangle};
+ \draw[thick] (a.south) -- (b) -- (c) -- (d);
+ \draw[thick,red,->] (a) |- +(1,3) -| (c) |- (b);
+ \draw[thick,blue,<->] (b) .. controls +(right:2cm) and +(down:1cm) .. (d);
+\end{tikzpicture}
+\end{codeexample}
+\end{coordinatesystem}
-\subsubsection{Intersection of Two Lines}
+
+\subsubsection{Intersection Coordinate Systems}
Often you wish to specify a point that is on the
-intersection of two lines. The first way to specify such an
-intersection is the following: You can use the special syntax
-\declare{|(intersection of |\meta{$p_1$}|--|\meta{$p_2$}%
- | and |\meta{$q_1$}|--|\meta{$q_2$}|)|}. This will yield the
-intersection point of the line going through $p_1$ and $p_2$ and the
-line through $q_1$ and $q_2$. If the lines do not meet or if they are
-identical and arithmetical overflow error will result.
+intersection of two lines. For this, the following coordinate system
+is useful:
+
+\begin{coordinatesystem}{intersection}
+ To specify the intersection of two line, you provide two lines using
+ the following two options:
+ \begin{itemize}
+ \itemoption{first line}|=(|\meta{first coordinate}|)--(|\meta{second coordinate}|)|
+ \itemoption{second line}|=(|\meta{first coordinate}|)--(|\meta{second coordinate}|)|
+ \end{itemize}
+ Note that you have to write |--| between the coordinate, but this
+ does not mean that anything is added to the path. This is simply a
+ special syntax.
+
+ The coordinate specified in this way is the intersection of the two
+ lines. If the lines do not meet or if they are
+ identical and arithmetical overflow error will result.
\begin{codeexample}[]
\begin{tikzpicture}
@@ -214,25 +396,46 @@ identical and arithmetical overflow error will result.
\draw (0,0) coordinate (A) -- (3,2) coordinate (B)
(1,2) -- (3,0);
- \fill[red] (intersection of A--B and 1,2--3,0) circle (2pt);
+ \fill[red] (intersection cs:
+ first line={(A)--(B)},
+ second line={(1,2)--(3,0)}) circle (2pt);
\end{tikzpicture}
\end{codeexample}
-\subsubsection{Intersection of Horizontal and Vertical Lines}
+ The implicit way of specifying this coordinate system is to write
+ \declare{|(intersection of |\meta{$p_1$}|--|\meta{$p_2$
+ }| and |\meta{$q_1$}|--|\meta{$q_2$}|)|}. Note that there are \emph{no}
+ parentheses around the $p_i$ and $q_i$. Thus, you would write
+ |(intersection of A--B and 1,2--3,0)|.
+\end{coordinatesystem}
A frequent special case of intersections is the intersection of a
vertical line going through a point $p$ and a horizontal line going
-through some other point $q$. For this situation there is a special,
-shorter, syntax: You can say either
-\declare{|(|\meta{p}\verb! |- !\meta{q}|)|} or
-\declare{|(|\meta{q}\verb! -| !\meta{p}|)|}.
+through some other point $q$. For this situation there is another
+coordinate system.
+
+\begin{coordinatesystem}{perpendicular}
+ This coordinate system works the same way as |intersection|, only
+ the lines are specified differently:
+
+ \begin{itemize}
+ \itemoption{horizontal line through}|=(|\meta{coordinate}|)|
+ Specifies that one line is a horizontal line that goes through the
+ given coordinate.
+ \itemoption{vertical line through}|=(|\meta{coordinate}|)|
+ Specifies that the other line is vertical and goes through the
+ given coordinate.
+ \end{itemize}
-For example, \verb!(2,1 |- 3,4)! and \verb!(3,4 -| 2,1)! both yield
-the same as \verb!(2,4)! (provided the $xy$-coordinate system has not
-been modified).
+ The implicit syntax is to write \declare{|(|\meta{p}\verb! |- !\meta{q}|)|} or
+ \declare{|(|\meta{q}\verb! -| !\meta{p}|)|}.
-The most useful application of the syntax is to draw a line up to some
-point on a vertical or horizontal line. Here is an example:
+ For example, \verb!(2,1 |- 3,4)! and \verb!(3,4 -| 2,1)! both yield
+ the same as \verb!(2,4)! (provided the $xy$-coordinate system has not
+ been modified).
+
+ The most useful application of the syntax is to draw a line up to some
+ point on a vertical or horizontal line. Here is an example:
\begin{codeexample}[]
\begin{tikzpicture}
@@ -247,6 +450,56 @@ point on a vertical or horizontal line. Here is an example:
\draw[->] (p2) -- (p2 -| yline);
\end{tikzpicture}
\end{codeexample}
+\end{coordinatesystem}
+
+
+\subsubsection{Defining New Coordinate Systems}
+
+While the set of coordinate systems that \tikzname\ can parse via
+their special syntax is fixed, it is possible and quite easy to define
+new explicitly named coordinate systems. For this, the following
+commands are used:
+
+\begin{command}{\tikzdeclarecoordinatesystem\marg{name}\marg{code}}
+ This command declares a new coordinate system named \meta{name} that
+ can later on be used by writing
+ |(|\meta{name}| cs:|\meta{arguments}|)|. When \tikzname\ encounters a coordinate
+ specified in this way, the \meta{arguments} are passed to
+ \meta{code} as argument |#1|.
+
+ It is now the job of \meta{code} to make sense of the
+ \meta{arguments}. At the end of \meta{code}, the two \TeX\ dimensions
+ |\pgf@x| and |\pgf@y| should be have the $x$- and $y$-canvas
+ coordinate of the coordinate.
+
+ It is not necessary, but customary, to parse \meta{arguments} using
+ the key-value syntax. However, you can also parse it in any way you
+ like.
+
+ In the following example, a coordinate system |cylindrical| is
+ defined.
+\begin{codeexample}[]
+\makeatletter
+\define@key{cylindricalkeys}{angle}{\def\myangle{#1}}
+\define@key{cylindricalkeys}{radius}{\def\myradius{#1}}
+\define@key{cylindricalkeys}{z}{\def\myz{#1}}
+\tikzdeclarecoordinatesystem{cylindrical}%
+{%
+ \setkeys{cylindricalkeys}{#1}%
+ \pgfpointadd{\pgfpointxyz{0}{0}{\myz}}{\pgfpointpolarxy{\myangle}{\myradius}}
+}
+\begin{tikzpicture}[z=0.2pt]
+ \draw [->] (0,0,0) -- (0,0,350);
+ \foreach \num in {0,10,...,350}
+ \fill (cylindrical cs:angle=\num,radius=1,z=\num) circle (1pt);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\tikzaliascoordinatesystem\marg{new name}\marg{old name}}
+ Creates an alias of \meta{old name}.
+\end{command}
+
@@ -299,3 +552,5 @@ the following example, the curve ``leaves'' at $30^\circ$ and
\draw[gray,<-] (3,-1) -- +(60:1cm);
\end{tikzpicture}
\end{codeexample}
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-design.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-design.tex
index 1207f029c38..5f8060625dc 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-design.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-design.tex
@@ -1,9 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Design Principles}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-paths.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-paths.tex
index 9eaffdcd086..37c0be02ec6 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-paths.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-paths.tex
@@ -1,9 +1,11 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Syntax for Path Specifications}
@@ -628,7 +630,7 @@ current path.
The \emph{arc operation} allows you to add an arc to the current
path.
\begin{pathoperation}{arc}{|(|\meta{start angle}|:|\meta{end
- angle}|:|\meta{radius}\opt{|/|\meta{half height}}|)|}
+ angle}|:|\meta{radius}\opt{| and |\meta{half height}}|)|}
The arc operation adds a part of a circle of the given radius
between the given angles. The arc will start at the current point
and will end at the end of the arc.
@@ -637,7 +639,7 @@ path.
\begin{tikzpicture}
\draw (0,0) arc (180:90:1cm) -- (2,.5) arc (90:0:1cm);
\draw (4,0) -- +(30:1cm) arc (30:60:1cm) -- cycle;
- \draw (8,0) arc (0:270:1cm/.5cm) -- cycle;
+ \draw (8,0) arc (0:270:1cm and .5cm) -- cycle;
\end{tikzpicture}
\end{codeexample}
@@ -664,20 +666,54 @@ operation.
are given by \meta{corner} and by the previous coordinate. Thus, the
typical way in which a grid is drawn is |\draw (1,1) grid (3,3);|,
which yields a grid filling the rectangle whose corners are at
- $(1,1)$ and $(3,3)$. All coordinate transformations apply to the grid.
+ $(1,1)$ and $(3,3)$. All coordinate transformations apply to the
+ grid.
\begin{codeexample}[]
\tikz[rotate=30] \draw[step=1mm] (0,0) grid (2,2);
\end{codeexample}
- The stepping of the grid is governed by the following options:
+ The \meta{options}, which are local to the |grid| operation, can be
+ used to influence the appearance of the grid. The stepping of the
+ grid is governed by the following options:
\begin{itemize}
- \itemoption{step}|=|\meta{dimension} sets the stepping in both the
- $x$ and $y$-direction.
- \itemoption{xstep}|=|\meta{dimension} sets the stepping in the
+ \itemoption{step}|=|\meta{number or dimension or coordinate} sets the stepping in both the
+ $x$ and $y$-direction. If a dimension is provided, this is used
+ directly. If a number is provided, this number is interpreted in the
+ $xy$-coordinate system. For example, if you provide the number |2|,
+ then the $x$-step is twice the $x$-vector and the $y$-step is twice
+ the $y$-vector set by the |x=| and |y=| options. Finally, if you
+ provide a coordinate, then the $x$-part of this coordinate will be
+ used as the $x$-step and the $y$-part will be used as the
+ $y$-coordinate.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[x=.5cm]
+ \draw[thick] (0,0) grid [step=1] (3,2);
+ \draw[red] (0,0) grid [step=.75cm] (3,2);
+\end{tikzpicture}
+\begin{tikzpicture}
+ \draw (0,0) circle (1);
+ \draw[blue] (0,0) grid [step=(45:1)] (3,2);
+\end{tikzpicture}
+\end{codeexample}
+
+ A complication arises when the $x$- and/or $y$-vector do not point
+ along the axes. Because of this, the actual rule for computing the
+ $x$-step and the $y$-step is the following: As the $x$- and
+ $y$-steps we use the $x$- and $y$-components or the following two
+ vectors: The first vector is either $(\meta{x-grid-step-number},0)$
+ or $(\meta{x-grid-step-dimension},0\mathrm{pt})$, the second vector
+ is $(0,\meta{y-grid-step-number})$ or
+ $(0\mathrm{pt},\meta{x-grid-step-dimension})$.
+
+ \itemoption{xstep}|=|\meta{dimension or number} sets the stepping in the
$x$-direction.
- \itemoption{ystep}|=|\meta{dimension} sets the stepping in the
+\begin{codeexample}[]
+\tikz \draw (0,0) grid [xstep=.5,ystep=.75] (3,2);
+\end{codeexample}
+\itemoption{ystep}|=|\meta{dimension or number} sets the stepping in the
$y$-direction.
\end{itemize}
@@ -1109,13 +1145,40 @@ In detail, the following options govern how marks are drawn:
One plot mark is special: the |ball| plot mark is available only
it \tikzname. The |ball color| determines the balls's color. Do not use
- this option with large number of marks since it will take very long
+ this option with a large number of marks since it will take very long
to render in PostScript.
\begin{tabular}{lc}
Option & Effect \\\hline \vrule height14pt width0pt
\plotmarkentrytikz{ball}
\end{tabular}
+
+ \itemoption{mark repeat}|=|\meta{r}
+ This option tells \tikzname\ that only every $r$th mark should be
+ drawn.
+
+\begin{codeexample}[]
+\tikz \draw plot[mark=x,mark repeat=3,smooth] file {plots/pgfmanual-sine.table};
+\end{codeexample}
+
+ \itemoption{mark phase}|=|\meta{p}
+ This option tells \tikzname\ that the first mark to be draw should
+ be the $p$th, followed by the $(p+r)$th, then the $(p+2r)$th, and so
+ on.
+
+\begin{codeexample}[]
+\tikz \draw plot[mark=x,mark repeat=3,mark phase=6,smooth] file {plots/pgfmanual-sine.table};
+\end{codeexample}
+
+ \itemoption{mark indices}|=|\meta{list}
+ This option allows you to specify explicitly the indices at which a
+ mark should be placed. Counting starts with 1. You can use the
+ |\foreach| syntax, that is, |...| can be used.
+
+\begin{codeexample}[]
+\tikz \draw plot[mark=x,mark indices={1,4,...,10,11,12,...,16,20},smooth]
+ file {plots/pgfmanual-sine.table};
+\end{codeexample}
\itemoption{mark size}|=|\meta{dimension}
Sets the size of the plot marks. For circular plot marks,
@@ -1244,6 +1307,193 @@ use options to change the behavior of |plot|.
+\subsection{The To Path Operation}
+
+The |to| operation is used to add a user-defined path
+from the previous coordinate to the following coordinate. When you
+write |(a) to (b)|, a straight line is added from |a|
+to |b|, exactly as if you had written |(a) -- (b)|. However, if you
+write |(a) to [out=135,in=45] (b)| a curve is added to the path,
+which leaves at an angle of 135$^\circ$ at |a| and arrives at an angle
+of 45$^\circ$ at |b|. This is because the options |in| and |out|
+trigger a special path to be used instead of the straight line.
+
+\begin{pathoperation}{to}{\opt{|[|\meta{options}|]|}
+ \opt{\meta{nodes}} |(|\meta{coordinate}|)|}
+
+ This path operation inserts the path current set via the |to path|
+ option at the current position. The \meta{options} can be used to
+ modify (perhaps implicitly) the |to path| and to setup how the path
+ will be rendered.
+
+ Before the |to path| is inserted, a number of macros are setup that
+ can ``help'' the |to path|. These are |\tikztostart|,
+ |\tikztotarget|, and |\tikztonodes|; they are explained in the
+ following.
+
+ \medskip
+ \textbf{Start and Target Coordinates.}\ \
+ The |to| operation is always followed by a \meta{coordinate}, called
+ the target coordinate. The macro |\tikztotarget| is set to this
+ coordinate (without the parantheses). There is also a \emph{start
+ coordinate}, which is the coordinate preceding the |to|
+ operation. This coordinate can be accessed via the macro
+ |\tikztostart|. In the following example, for the first |to|, the
+ macro |\tikztostart| is |0pt,0pt| and the |\tikztotarget| is
+ |0,2|. For the second |to|, the macro |\tikztostart| is |10pt,10pt|
+ and |\tikztotarget| is |a|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+
+ \draw (0,0) to (0,2);
+ \node (a) at (2,2) {a};
+ \draw[red] (10pt,10pt) to (a);
+\end{tikzpicture}
+\end{codeexample}
+
+
+ \medskip
+ \textbf{Nodes on tos.}\ \
+ It is possible to add nodes to the paths constructed by a |to|
+ operation. To do so, you specify the nodes between the |to|
+ keyword and the coordinate (if there are options to the |to|
+ operation, these come first). The effect of |(a) to node {x} (b)|
+ (typically) is the same as if you had written
+ |(a) -- node {x} (b)|, namely that the node is placed on the
+ to. This can be used to add labels to tos:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) to node [sloped,above] {x} (3,2);
+
+ \draw (0,0) to[out=90,in=180] node [sloped,above] {x} (3,2);
+\end{tikzpicture}
+\end{codeexample}
+
+ \medskip
+ \textbf{Styles for nodes.}\ \
+ In addition to the \meta{options} given after the |to| operation,
+ the following style is also set at the beginning of the to path:
+ \begin{itemize}
+ \itemstyle{every to}
+ This style is installed at the beginning of every to. By
+ default, it is set to |draw|.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every to}=[draw,dashed]
+ \path (0,0) to (3,2);
+\end{tikzpicture}
+\end{codeexample}
+ \end{itemize}
+
+ \medskip
+ \textbf{Options.}\ \
+ The \meta{options} given with the |to| allow you to influence the
+ appearance of the |to path|. Mostly, these options are used to
+ change the |to path|. This can be used to change the path from a
+ straight line to, say, a curve.
+
+ The path used is set using the following option:
+ \begin{itemize}
+ \itemoption{to path}|=|\meta{path}
+ Whenever an |to| operation is used, the \meta{path} is
+ inserted. More precisely, the following path is added:
+
+ \begin{quote}
+ |[every to,|\meta{options}|] |\meta{path}
+ \end{quote}
+
+ The \meta{options} are the options given to the |to| operation,
+ the \meta{path} is the path set by this option |to path|.
+
+ Inside the \meta{path}, different macros are used to reference the
+ from- and to-coordinates. In detail, these are:
+ \begin{itemize}
+ \item \declare{|\tikztostart|} will expand to the from-coordinate
+ (without the parantheses).
+ \item \declare{|\tikztotarget|} will expand to the to-coordinate.
+ \item \declare{|\tikztonodes|} will expand to the nodes between
+ the |to| operation and the coordinate. Furthermore, these
+ nodes will have the |pos| option set implicitly.
+ \end{itemize}
+
+ Let us have a look at a simple example. The standard straight line
+ for an to is achieved by the following \meta{path}:
+ \begin{quote}
+ |-- (\tikztotarget) \tikztonodes|
+ \end{quote}
+
+ Indeed, this is the default setting for the path. When we write
+ |(a) to (b)|, the \meta{path} will expand to |(a) -- (b)|, when
+ we write
+ \begin{quote}
+ |(a) to[red] node {x} (b)|
+ \end{quote}
+ the \meta{path} will expand to
+ \begin{quote}
+ |(a) -- (b) node[pos] {x}|
+ \end{quote}
+
+ It is not possible to specify the path
+ \begin{quote}
+ |-- \tikztonodes (\tikztotarget)|
+ \end{quote}
+ since \tikzname\ does not allow one to have a macro after |--|
+ that expands to a node.
+
+ Now let us have a look at how we can modify the \meta{path}
+ sensibly. The simplest way is to use a curve.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[to path={
+ .. controls +(1,0) and +(1,0) .. (\tikztotarget) \tikztonodes}]
+
+ \node (a) at (0,0) {a};
+ \node (b) at (2,1) {b};
+ \node (c) at (1,2) {c};
+
+ \draw (a) to node {x} (b)
+ (a) to (c);
+\end{tikzpicture}
+\end{codeexample}
+
+ Here is another example:
+
+\begin{codeexample}[]
+\tikzstyle{my loop}=[->,to path={
+ .. controls +(80:1) and +(100:1) .. (\tikztotarget) \tikztonodes}]
+\tikzstyle{my state}= [circle,draw]
+
+\begin{tikzpicture}[shorten >=2pt]
+ \node [my state] (a) at (210:1) {$q_a$};
+ \node [my state] (b) at (330:1) {$q_b$};
+
+ \draw (a) to node[below] {1} (b)
+ to [my loop] node[above right] {0} (b);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{execute at begin to}|=|\meta{code}
+ The \meta{code} is executed prior to the to. This can be used to
+ draw one or more additional paths or to do additional
+ computations.
+
+ \itemoption{executed at end to}|=|\meta{code}
+ Works like the previous option, only this code is executed after
+ the to path has been added.
+
+ \itemstyle{every to}
+ This style is installed at the beginning of every to. It is empty
+ by default.
+ \end{itemize}
+\end{pathoperation}
+
+There are a number of predefined |to path|s, see
+Section~\ref{library-to-paths} for a reference.
+
+
\subsection{The Scoping Operation}
@@ -1260,7 +1510,61 @@ a whole.
\subsection{The Node Operation}
-You can add nodes to a path using the |node| operation. Since this
-operation is quite complex and since the nodes are not really part of
-the path itself, there is a separate section dealing with nodes, see
-Section~\ref{section-nodes}.
+There are teo more operations that can be found in paths:
+|node| and |edge|. The first is used to add a so-called node to a
+path. This operation is special in the following sense: It does not
+change the current path in any way. In other words, this operation
+is not really a path operation, but has an effect that is
+``external'' to the path. The |edge| operation has similar effect in
+that it adds something \emph{after} the main parth has been
+drawn. However, it works like the |to| operation, that is, it adds a
+|to| path to the picture after the main path has been drawn.
+
+Since these operations are quite complex, they are described in the
+separate Section~\ref{section-nodes}.
+
+
+
+\subsection{The PGF-Extra Operation}
+
+In some cases you may need to ``do some calculations or some other
+stuff'' while a path is constructed. For this, you would like to
+suspend the construction of the path and suspend \tikzname's parsing
+of the path, you would then like to have some \TeX\ code executed, and
+would then like to resume the parsing of the path. This effect can be
+achieved using the following path operation |\pgfextra|. Note that
+this operation should only be used by real experts and should only be
+used deep inside clever macros, not on normal paths.
+
+\begin{command}{\pgfextra\marg{code}}
+ This command may only be used inside a \tikzname\ path. There it is
+ used like a normal path operation. The construction of the path is
+ temporarily suspended and the \meta{code} is executed. Then, the
+ path construction is resumed.
+
+\begin{codeexample}[]
+\newdimen\mydim
+\begin{tikzpicture}
+ \mydim=1cm
+ \draw (0pt,\mydim) \pgfextra{\mydim=2cm} -- (0pt,\mydim);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfextra \meta{code} \texttt{\char`\\endpgfextra}}
+ This is an alternative syntax for the |\pgfextra| command. If the
+ code following |\pgfextra| does not start with a brace, the
+ \meta{code} is executed until |\endpgfextra| is encountered. What
+ actually happens is that |\pgfextra| that is not followed by a brace
+ completely shuts down the \tikzname\ parse and |\endpgfextra| is a
+ normal macro that restarts the parser.
+
+\begin{codeexample}[]
+\newdimen\mydim
+\begin{tikzpicture}
+ \mydim=1cm
+ \draw (0pt,\mydim)
+ \pgfextra \mydim=2cm \endpgfextra -- (0pt,\mydim);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-scopes.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-scopes.tex
index 5339e802d4a..0b0b5735c9f 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-scopes.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-scopes.tex
@@ -1,9 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section[Hierarchical Structures: Package, Environments, Scopes, and Styles]
{Hierarchical Structures:\\
@@ -20,12 +22,12 @@ apply to everything within the environment.
-\subsection{Loading the Package}
+\subsection{Loading the Package and the Libraries}
\begin{package}{tikz}
This package does not have any options.
- This will automatically load the \pgfname\ package and several other
+ This will automatically load the \pgfname\ package and some other
stuff that \tikzname\ needs (like the |xkeyval| package).
\pgfname\ needs to know what \TeX\ driver you are intending to use. In
@@ -38,6 +40,28 @@ apply to everything within the environment.
\end{package}
+\begin{command}{\usetikzlibrary\marg{list of libraries}}
+ Once \tikzname\ has been loaded, you can use this command to load
+ further libraries. The list of libraries should contain the names of
+ libraries separated by commas. Instead of curly braces, you can also
+ use square brackets, which is something Con\TeX t users will
+ like. If you try to load a library a second time, nothing will
+ happen.
+
+ \example |\usetikzlibrary{arrows}|
+
+ The above command will load a whole bunch of extra arrow tip
+ definitions.
+
+ What this command does is to load the file
+ |pgflibrarytikz|\meta{library}|.code.tex| for each \meta{library} in
+ the \meta{list of libraries}. Thus, to write your own library file,
+ all you need to do is to place a file of the appropriate name
+ somewhere where \TeX\ can find it. \LaTeX, plain \TeX, and Con\TeX t
+ users can then use your library.
+\end{command}
+
+
\subsection{Creating a Picture}
@@ -95,7 +119,7 @@ options are local to the |{tikzpicture}| to which they apply.
The following option influences the baseline of the resulting
picture:
\begin{itemize}
- \itemoption{baseline}\opt{|=|\meta{dimension}}
+ \itemoption{baseline}\opt{|=|\meta{dimension or coordinate}}
Normally, the lower end of the picture is put on the baseline of
the surrounding text. For example, when you give the code
|\tikz\draw(0,0)circle(.5ex);|, \pgfname\ will find out that the
@@ -115,6 +139,25 @@ options are local to the |{tikzpicture}| to which they apply.
$A \mathbin{\tikz[baseline] \draw[->>] (0pt,.5ex) -- (3ex,.5ex);} B$
\end{codeexample}
+ Instead of a \meta{dimension} you can also provide a coordinate in
+ parantheses. Then the effect is to put the baseline on the
+ $y$-coordinate that the give \meta{coordinate} has \emph{at the
+ end of the picture}. This means that, at the end of the picture,
+ the \meta{coordinate} is evaluated and then the baseline is set
+ to the $y$-coordinate of the resulting point. This makes it easy
+ to reference the $y$-coordinate of, say, the base line of nodes.
+\begin{codeexample}[]
+Hello
+\tikz[baseline=(X.base)]
+ \node [cross out,draw] (X) {world.};
+\end{codeexample}
+
+\begin{codeexample}[]
+Top align:
+\tikz[baseline=(current bounding box.north)]
+ \draw (0,0) rectangle (1cm,1ex);
+\end{codeexample}
+
\itemoption{execute at begin picture}|=|\meta{code}
This option can be used to install some code that will be executed
at the beginning of the picture. This option must be
@@ -157,11 +200,16 @@ $A \mathbin{\tikz[baseline] \draw[->>] (0pt,.5ex) -- (3ex,.5ex);} B$
\end{itemize}
\end{environment}
-In plain \TeX, you should use instead the following commands:
+In other \TeX\ format, you should use instead the following commands:
\begin{plainenvironment}{{tikzpicture}\opt{\oarg{options}}}
+ This is the plain \TeX\ version of the environment.
\end{plainenvironment}
+\begin{contextenvironment}{{tikzpicture}\opt{\oarg{options}}}
+ This is the Con\TeX t version of the environment.
+\end{contextenvironment}
+
\subsubsection{Creating a Picture Using a Command}
@@ -259,12 +307,14 @@ chance of doing anything wrong.
\end{itemize}
\end{environment}
-
-In plain \TeX, you use the following commands instead:
-
\begin{plainenvironment}{{scope}\opt{\oarg{options}}}
+ Plain \TeX\ version of the environment.
\end{plainenvironment}
+\begin{contextenvironment}{{scope}\opt{\oarg{options}}}
+ Con\TeX t version of the environment.
+\end{contextenvironment}
+
\subsection{Using Scopes Inside Paths}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-shapes.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-shapes.tex
index 4655e63c9a9..6fa844a8875 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-shapes.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-shapes.tex
@@ -1,24 +1,60 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
-\section{Nodes}
+\section{Nodes and Edges}
\label{section-nodes}
+\subsection{Overview}
+
+In the present section, the usage of \emph{nodes} in
+\tikzname\ is explained. A node is typically a rectangle or circle or
+another simple shape with some text on it.
+
+Nodes are added to paths using the special path
+operation |node|. Nodes \emph{are not part of the path
+ itself}. Rather, they are added to the picture after the path has
+been drawn.
+
+In Section~\ref{section-nodes-basic} the basic syntax of the node
+operation is explained, followed in Section~\ref{section-nodes-multi}
+by the syntax for multi-part nodes, which are nodes that contain
+several different text parts. After this, the different options for
+the text in nodes are explained. In
+Section~\ref{section-nodes-anchors} the concept of \emph{anchors} is
+introduced along with their usage. In
+Section~\ref{section-nodes-transformations} the different ways
+transformations affect nodes are
+studied. Sections~\ref{section-nodes-placing-1}
+and~\ref{section-nodes-placing-2} are about placing nodes on or next
+to straight lines and curves. In
+Section~\ref{section-nodes-connecting} it is explained how a node can
+be used as a ``pseudo-coordinate.'' Section~\ref{section-nodes-edges}
+introduces the |edge| operation, which
+works similar to the |to| operation and also similar to the |node|
+operation. Section~\ref{section-nodes-predefined} lists the predefined
+shapes. Finally, Section~\ref{section-nodes-executing} explains the
+special |after node path| options.
+
+
\subsection{Nodes and Their Shapes}
-\tikzname\ offers an easy way of adding so-called \emph{nodes} to your
-pictures. In the simplest case, a node is just some text that is
+\label{section-nodes-basic}
+
+In the simplest case, a node is just some text that is
placed at some coordinate. However, a node can also have a border
drawn around it or have a more complex background and
foreground. Indeed, some nodes do not have a text at all, but consist
solely of the background. You can name nodes so that you can reference
-their coordinates later in the picture. However, \emph{nodes cannot be
- referenced across different pictures}.
+their coordinates later in the same picture or, if certain precautions
+are taken as explained in Section~\ref{section-cross-picture-tikz},
+also in different pictures.
There are no special \TeX\ commands for adding a node to a picture; rather,
there is path operation called |node| for this. Nodes are created
@@ -66,6 +102,9 @@ The syntax for specifying nodes is the following:
|y_1|. Your node name should \emph{not} contain any punctuation like
a dot, a comma, or a colon since these are used to detect what kind
of coordinate you mean when you reference a node.
+
+ \itemoption{at}|=|\meta{coordinate}
+ is another way of specifying ath |at| coordinate.
\end{itemize}
The \meta{options} is an optional list of options that \emph{apply
@@ -99,10 +138,9 @@ The syntax for specifying nodes is the following:
\end{codeexample}
In the future, there might be much more complicated shapes available
- such as, say, a shape for a resistor or a shape for a state of a
- finite automaton or a shape for a \textsc{uml} class. Unfortunately,
- creating new shapes is a bit tricky and makes it necessary to use the
- basic layer directly. Life is hard.
+ such as, say, a shape for a resistor or a shape for a \textsc{uml}
+ class. Unfortunately, creating new shapes is a bit tricky and makes
+ it necessary to use the basic layer directly. Life is hard.
To select the shape of a node, the following option is used:
\begin{itemize}
@@ -163,6 +201,8 @@ The is a special syntax for specifying ``light-weighed'' nodes:
\subsection{Multi-Part Nodes}
+\label{section-nodes-multi}
+
Most nodes just have a single simple text label. However, nodes of a
more complicated shapes might be made up from several \emph{node
parts}. For example, in automata theory a so-called Moore state has
@@ -188,12 +228,12 @@ different node parts by using the following command:
\begin{codeexample}[]
\begin{tikzpicture}
- \node [state with output,draw,double,fill=red!20]
+ \node [circle split,draw,double,fill=red!20]
{
% No \nodepart has been used, yet. So, the following is put in the
% ``text'' node part by default.
$q_1$
- \nodepart{output} % Ok, end ``text'' part, start ``output'' part
+ \nodepart{lower} % Ok, end ``text'' part, start ``output'' part
$00$
}; % output part ended.
\end{tikzpicture}
@@ -207,8 +247,8 @@ different node parts by using the following command:
This style is installed at the beginning of every node part named
\meta{part name}.
\begin{codeexample}[]
-\tikzstyle{every output node part}=[red]
-\tikz \node [state with output,draw] {$q_1$ \nodepart{output} $00$};
+\tikzstyle{every lower node part}=[red]
+\tikz \node [circle split,draw] {$q_1$ \nodepart{lower} $00$};
\end{codeexample}
\end{itemize}
\end{command}
@@ -217,6 +257,8 @@ different node parts by using the following command:
\subsection{Options for the Text in Nodes}
+\label{section-nodes-options}
+
The simplest option for the text in nodes is its color. Normally, this
color is just the last color installed using |color=|, possibly
inherited from another scope. However, it is possible to specificly
@@ -266,9 +308,8 @@ following option for this:
\begin{codeexample}[]
\tikzstyle{every text node part}=[font=\itshape]
-\tikzstyle{every output node part}=[font=\footnotesize]
-\tikzstyle{every state with output node}=[draw]
-\tikz \node [state with output] {state \nodepart{output} output};
+\tikzstyle{every lower node part}=[font=\footnotesize]
+\tikz \node [circle split,draw] {state \nodepart{lower} output};
\end{codeexample}
\end{itemize}
@@ -343,10 +384,46 @@ height).
\end{codeexample}
\end{itemize}
+In addition to changing the width of nodes, you can also change the
+height of nodes. This can be done in two ways: First, you can use the
+option |minimum height|, which ensures that the height of the whole
+node is at least the given height (this option is described in more
+detail later). Second, you can use the option |text height|, which
+sets the height of the text itself, more precisely, of the \TeX\ text
+box of the text. Note that the |text height| typically is not the
+height of the shape's box: In addition to the |text height|, an
+internal |inner sep| is added as extra space and the text depth is
+also taken into account.
+
+I recommend using |minimum size| instead of |text height| except for
+special situations.
+
+\begin{itemize}
+ \itemoption{text height}|=|\meta{dimension}
+ Sets the height of the text boxes in shapes. Thus, when you write
+ something like |node {text}|, the |text| is first typeset, resulting
+ in some box of a certain height. This height is then replaced by the
+ height |text height|. The resulting box is then used to determine
+ the size of the shape, which will typically be larger. When you
+ write |text height=| without specifying anything, the ``natural''
+ size of the text box remains unchanged.
+\begin{codeexample}[]
+\tikz \node[draw] {y};
+\tikz \node[draw,text height=10pt] {y};
+\end{codeexample}
+ \itemoption{text depth}|=|\meta{dimension}
+ This option works like |text height|, only for the depth of the text
+ box. This option is mostly useful when you need to ensure a uniform
+ depth of text boxes that need to be aligned.
+\end{itemize}
+
+
\subsection{Placing Nodes Using Anchors}
+\label{section-nodes-anchors}
+
When you place a node at some coordinate, the node is centered on this
coordinate by default. This is often undesirable and it would be
better to have the node to the right or above the actual coordinate.
@@ -461,9 +538,48 @@ more intuitively:
does the same as |anchor=north west|.
\end{itemize}
+A second set of options behaves similarly, namely the |above of|,
+|below of|, and so on options. They cause the same anchors to be set
+as the options without |of|, however, their parameter is different:
+You must provide the name of another node. The current node will then
+be placed, say, above this specified node at a distance given by the
+option |node distance|.
+\begin{itemize}
+ \itemoption{above of}\opt{|=|\meta{node}}
+ This option causes the node to be placed at the distance
+ |node distance| above of \meta{node}. The anchor is |center|.
+\begin{codeexample}[]
+\begin{tikzpicture}[node distance=1cm]
+ \draw[help lines] (0,0) grid (3,2);
+ \node (a) {a};
+ \node (b) [above of=a] {b};
+ \node (c) [above of=b] {c};
+ \node (d) [right of=c] {d};
+ \node (e) [below right of=d] {e};
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{above left of}\opt{|=|\meta{node}}
+ Works like |above of|, only the node is now put above and left. The
+ |node distance| is the Euclidean distance between the two nodes, not
+ the $L_1$-distance.
+ \itemoption{above right of}\opt{|=|\meta{node}} works similarly.
+ \itemoption{left of}\opt{|=|\meta{node}} works similarly.
+ \itemoption{right of}\opt{|=|\meta{node}} works similarly.
+ \itemoption{below of}\opt{|=|\meta{node}} works similarly.
+ \itemoption{below left of}\opt{|=|\meta{node}} works similarly.
+ \itemoption{below right of}\opt{|=|\meta{node}} works similarly.
+ \itemoption{node distance}\opt{|=|\meta{dimension}} sets the
+ distance between nodes that are placed using the |... of|
+ options. Note that this distance is the distance between the
+ centers of the nodes, not the distance between their borders.
+\end{itemize}
+
\subsection{Transformations}
+\label{section-nodes-transformations}
+
+
It is possible to transform nodes, but, by default, transformations do
not apply to nodes. The reason is that you usually do \emph{not} want
your text to be scaled or rotated even if the main graphic is
@@ -502,7 +618,10 @@ example, it certainly sometimes makes sense to rotate a node by
-\subsection{Placing Nodes on a Line or Curve}
+
+\subsection{Placing Nodes on a Line or Curve Explicitly}
+
+\label{section-nodes-placing-1}
Until now, we always placed node on a coordinate that is mentioned in
the path. Often, however, we wish to place nodes on ``the middle'' of
@@ -513,10 +632,6 @@ specifying this: Either explicitly by using the |pos| option or
implicitly by placing the node ``inside'' a path operation. These two
ways are described in the following.
-
-
-\subsubsection{Explicit Use of the Position Option}
-
\label{section-pos-option}
\begin{itemize}
@@ -572,11 +687,78 @@ ways are described in the following.
For all other path construction operations, \emph{the position
placement does not work}, currently. This will hopefully change in
the future (especially for the arc operation).
+
+ \itemoption{auto}\opt{|=|\meta{direction}}
+ This option causes an anchor positions to be calculated
+ automatically according to the following rule. Consider a line
+ between to points. If the \meta{direction} is |left|, then the
+ anchor is chosen such that the node is to the left of this line. If
+ the \meta{direction} is |right|, then the node is to the right of
+ this line. Leaving out \meta{direction} causes automatic placement
+ to be enabled with the last value of |left| or |right| used. A
+ \meta{direction} of |false| disables automatic placement. This
+ happens also whenever an anchor is given explicitly by the
+ |anchor| option or by one of the |above|, |below|, etc.\ options.
+
+ This option only has an effect for nodes that are placed on lines or
+ curves.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=.8,auto=left]
+ \tikzstyle{every node}=[circle,fill=blue!20]
+ \node (a) at (-1,-2) {a};
+ \node (b) at ( 1,-2) {b};
+ \node (c) at ( 2,-1) {c};
+ \node (d) at ( 2, 1) {d};
+ \node (e) at ( 1, 2) {e};
+ \node (f) at (-1, 2) {f};
+ \node (g) at (-2, 1) {g};
+ \node (h) at (-2,-1) {h};
+
+ \tikzstyle{every node}=[fill=red!20]
+ \foreach \from/\to in {a/b,b/c,c/d,d/e,e/f,f/g,g/h,h/a}
+ \draw [->] (\from) -- (\to) node[midway] {\from--\to};
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{swap}
+ This option exchanges the roles of |left| and |right| in automatic
+ placement. That is, if |left| is the current |auto| placement,
+ |right| is set instead and the other way round.
+\begin{codeexample}[]
+\begin{tikzpicture}[auto]
+ \draw[help lines,use as bounding box] (0,-.5) grid (4,5);
+
+ \draw (0.5,0) .. controls (9,6) and (-5,6) .. (3.5,0)
+ \foreach \pos in {0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1}
+ {node [pos=\pos,swap,fill=red!20] {\pos}}
+ \foreach \pos in {0.025,0.2,0.4,0.6,0.8,0.975}
+ {node [pos=\pos,fill=blue!20] {\pos}};
+\end{tikzpicture}
+\end{codeexample}
+\begin{codeexample}[]
+\begin{tikzpicture}[shorten >=1pt,node distance=2cm,auto]
+ \draw[help lines] (0,0) grid (3,2);
+
+ \node[state] (q_0) {$q_0$};
+ \node[state] (q_1) [above right of=q_0] {$q_1$};
+ \node[state] (q_2) [below right of=q_0] {$q_2$};
+ \node[state] (q_3) [below right of=q_1] {$q_3$};
+
+ \path[->] (q_0) edge node {0} (q_1)
+ edge node [swap] {1} (q_2)
+ (q_1) edge node {1} (q_3)
+ edge [loop above] node {0} ()
+ (q_2) edge node [swap] {0} (q_3)
+ edge [loop below] node {1} ();
+\end{tikzpicture}
+\end{codeexample}
+
\itemoption{sloped}
This option causes the node to be rotated such that a horizontal
- line becomes a tangent to the curve. The rotation will always be
- done in such a way that text is never ``upside down.'' If you really
- need upside down text, use |[rotate=180]|.
+ line becomes a tangent to the curve. The rotation is normally
+ done in such a way that text is never ``upside down.'' To get
+ upside-down text, use can use |[rotate=180]| or
+ |[allow upside down]|, see below.
\begin{codeexample}[]
\tikz \draw (0,0) .. controls +(up:2cm) and +(left:2cm) .. (1,3)
\foreach \p in {0,0.25,...,1} {node[sloped,above,pos=\p]{\p}};
@@ -587,6 +769,19 @@ ways are described in the following.
\draw (2,-.5) -- (0,0) node[midway,sloped,below] {$y$};
\end{tikzpicture}
\end{codeexample}
+ \itemoption{allow upside down}\opt{|=|\meta{true or false}}
+ If set to |true|, \tikzname\ will not ``righten'' upside down text.
+\begin{codeexample}[]
+\tikz [allow upside down]
+ \draw (0,0) .. controls +(up:2cm) and +(left:2cm) .. (1,3)
+ \foreach \p in {0,0.25,...,1} {node[sloped,above,pos=\p]{\p}};
+\end{codeexample}
+\begin{codeexample}[]
+\begin{tikzpicture}[->,allow upside down]
+ \draw (0,0) -- (2,0.5) node[midway,sloped,above] {$x$};
+ \draw (2,-.5) -- (0,0) node[midway,sloped,below] {$y$};
+\end{tikzpicture}
+\end{codeexample}
\end{itemize}
@@ -619,7 +814,9 @@ There exist styles for specifying positions a bit less ``technically'':
\end{itemize}
-\subsubsection{Implicit Use of the Position Option}
+\subsection{Placing Nodes on a Line or Curve Implicitly}
+
+\label{section-nodes-placing-2}
When you wish to place a node on the line |(0,0) -- (1,1)|,
it is natural to specify the node not following the |(1,1)|, but
@@ -668,7 +865,127 @@ the |--| operation, these will be collected and then reinserted after
the operation with the |pos| option set.
-\subsection{Connecting Nodes}
+\subsection{The Label and Pin Options}
+
+In addition to the |node| path operation, nodes can also be added
+using the |label| and the |pin| option. This is mostly useful
+for simple nodes.
+
+\begin{itemize}
+ \itemoption{label}|=|\opt{|[|\meta{options}|]|}\meta{angle}|:|\meta{text}
+ When this option is given to a |node| operation, it causes
+ \emph{another} node to be added to the path after the current node
+ has been finished. This extra node will have the text
+ \meta{text}. It is placed according to the following rule: Suppose
+ the |node| currently under construction is called |main node| and let us
+ call the label node |label node|. Then the anchor of |label node| is
+ placed at |main node.|\meta{angle}. The anchor that is chosen
+ depends on the \meta{angle}. If the \meta{angle} lies between
+ $-3^\circ$ and $+3^\circ$, then the anchor |west| is chosen, which
+ causes |label node| to be placed right of the right end
+ |main node|. If \meta{angle} lies between $4^\circ$ and $86^\circ$,
+ the anchor |south west| is chosen, causing the |label node| to be
+ placed above and right of the |main node|; and so on.
+\begin{codeexample}[]
+\tikz
+ \node [circle,draw,label=60:$60^\circ$,label=below:$-90^\circ$] {my circle};
+\end{codeexample}
+
+ As can be seen in the above example, instead of specifying
+ \meta{angle} as a number, it is also possible to use |left|,
+ |right|, |above|, |above left|, and so on.
+
+ You can pass \meta{options} to the node |label node|. For this, you
+ provide the options in square brackets before the \meta{angle}. If you
+ do so, you need to add braces around the whole argument of the
+ |label| option and this is also the case if you have brackets or
+ commas or semicolons or anything special in the \meta{text}.
+\begin{codeexample}[]
+\tikz \node [circle,draw,label={[red]above:X}] {my circle};
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node [circle,draw,label={[name=label node]above left:$a,b$}] {};
+ \draw (label node) -- +(1,1);
+\end{tikzpicture}
+\end{codeexample}
+
+ If you provide multiple |label| options, then multiple extra label
+ nodes are added in the order they are given.
+
+ The following styles influence how labels are drawn:
+ \begin{itemize}
+ \itemoption{label distance}|=|\meta{distance}
+ The \meta{distance} is additionally inserted between the main node
+ and the label node. The default is |0pt|.
+\begin{codeexample}[]
+\tikz[label distance=5mm]
+ \node [circle,draw,label=right:X,
+ label=above right:Y,
+ label=above:Z] {my circle};
+\end{codeexample}
+ \itemstyle{every label}
+ This style is used in every node created by the |label|
+ option. The default is |draw=none,fill=none|.
+ \end{itemize}
+ \itemoption{pin}|=|\opt{|[|\meta{options}|]|}\meta{angle}|:|\meta{text}
+ This is option is quite similar to the |label| option, but there is
+ one difference: In addition to adding a extra node to the picture,
+ it also adds an edge from this node to the main node. This causes
+ the node to look like a pin that has been added to the main node:
+\begin{codeexample}[]
+\tikz \node [circle,fill=blue!50,minimum size=1cm,pin=60:$q_0$] {};
+\end{codeexample}
+
+ The meaning of the \meta{options} and the \meta{angle} and the
+ \meta{text} is exactly the same as for the |node| option. Only, the
+ options and styles the influence the way pins look are different:
+ \begin{itemize}
+ \itemoption{pin distance}|=|\meta{distance}
+ This \meta{distance} is used instead of the |label distance| for
+ the distance between the main node and the label node. The default
+ is |3ex|.
+\begin{codeexample}[]
+\tikz[pin distance=1cm]
+ \node [circle,draw,pin=right:X,
+ pin=above right:Y,
+ pin=above:Z] {my circle};
+\end{codeexample}
+ \itemstyle{every pin}
+ This style is used in every node created by the |pin|
+ option. The default is |draw=none,fill=none|.
+ \itemstyle{every pin edge}
+ This style is used in every edge created by the |pin| optins. The
+ default is |help lines|.
+\begin{codeexample}[]
+\tikzstyle{every pin edge}=[<-,shorten <=1pt,snake=snake,line before snake=4pt]
+\tikz[pin distance=15mm]
+ \node [circle,draw,pin=right:X,
+ pin=above right:Y,
+ pin=above:Z] {my circle};
+\end{codeexample}
+ \itemoption{pin edge}|=|\meta{options}
+ This option can be used to set the options that are to be used
+ in the edge created by the |pin| option. The default is empty.
+\begin{codeexample}[]
+\tikz[pin distance=10mm]
+ \node [circle,draw,pin={[pin edge={blue,thick}]right:X},
+ pin=above:Z] {my circle};
+\end{codeexample}
+\begin{codeexample}[]
+\tikzstyle{every pin edge}=[]
+\tikzstyle{initial}=[pin={[pin distance=5mm,
+ pin edge={<-,shorten <=1pt}]left:start}]
+\tikz \node [circle,draw,initial] {my circle};
+\end{codeexample}
+ \end{itemize}
+\end{itemize}
+
+
+\subsection{Connecting Nodes: Using Nodes as Coordinates}
+
+\label{section-nodes-connecting}
Once you have defined a node and given it a name, you can use this
name to reference it. This can be done in two ways, see also
@@ -716,8 +1033,262 @@ Section~\ref{section-node-coordinates}. Suppose you have said
+\subsection{Connecting Nodes: Using the Edge Operation}
+
+\label{section-nodes-edges}
+
+The |edge| operation works like a |to| operation that is added after
+the main path has been drawn, much like a node is added after the main
+path has been drawn. This allows you to have each |edge| to have a
+different appearance. As the |node| operation, an |edge| temporarily
+suspends the construction of the current path and a new path $p$ is
+constructed. This new path $p$ will be drawn after the main path has
+been drawn. Note that $p$ can be totally different from the main
+path with respect to its options. Also note that if there are
+several |to| and/or |node| operations in the main path, each
+creates its own path(s) and they are drawn in the order that they
+are encountered on the path.
+
+\begin{pathoperation}{edge}{\opt{|[|\meta{options}|]|}
+ \opt{\meta{nodes}} |(|\meta{coordinate}|)|}
+ The effect of the |edge| operation is that after the main path the
+ following path is added to the picture:
+ \begin{quote}
+ |\path[every edge,|\meta{options}|] (\tikztostart) |\meta{path}|;|
+ \end{quote}
+ Here, \meta{path} is the |to path|. Note that, unlike the path added
+ by the |to| operation, the |(\tikztostart)| is added before the
+ \meta{path} (which is unnecessary for the |to| operation, since this
+ coordinate is already part of the main path).
+
+ The |\tikztostart| is the last coordinate on the path just before
+ the |edge| operation, just as for the |node| or |to| operations.
+ However, there is one exception to this rule: If the |edge|
+ operation is directly preceded by a |node| operation, then this
+ just-declared node is the start coordinate (and not, as would
+ normally be the case, the coordinate where this just-declared node
+ is placed -- a small, but subtle difference). In this regard, |edge|
+ differs from both |node| and |to|.
+
+ If there are several |edge| operations in a row, the start coordinate
+ is the same for all of them as their target coordiantes are not,
+ after all, part of the main path. The start coordinate is, thus, the
+ coordinate preceding the first |edge| operation. This is
+ similar to nodes insofar as the |edge| operation does not modify the
+ current path at all. In particular, it does not change the last
+ coordinate visited, see the following example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node (a) at (0:1) {$a$};
+ \node (b) at (90:1) {$b$} edge [->] (a);
+ \node (c) at (180:1) {$c$} edge [->] (a)
+ edge [<-] (b);
+ \node (d) at (270:1) {$d$} edge [->] (a)
+ edge [dotted] (b)
+ edge [<-] (c);
+\end{tikzpicture}
+\end{codeexample}
+
+ A different way of specifying the above graph using the |edge|
+ operation is the following:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \foreach \name/\angle in {a/0,b/90,c/180,d/270}
+ \node (\name) at (\angle:1) {$\name$};
+
+ \path[->] (b) edge (a)
+ edge (c)
+ edge [-,dotted] (d)
+ (c) edge (a)
+ edge (d)
+ (d) edge (a);
+\end{tikzpicture}
+\end{codeexample}
+
+ As can be seen, the path of the |edge| operation inherits the
+ options from the main path, but you can locally overrule them.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \foreach \name/\angle in {a/0,b/90,c/180,d/270}
+ \node (\name) at (\angle:1.5) {$\name$};
+
+ \path[->] (b) edge node[above right] {$5$} (a)
+ edge (c)
+ edge [-,dotted] node[below,sloped] {missing} (d)
+ (c) edge (a)
+ edge (d)
+ (d) edge [red] node[above,sloped] {very}
+ node[below,sloped] {bad} (a);
+\end{tikzpicture}
+\end{codeexample}
+
+ Instead of |every to|, the style |every edge| is installed at the
+ beginning of the main path.
+ \begin{itemize}
+ \itemstyle{every edge} this is is |draw| by default.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every to}=[draw,dashed]
+ \path (0,0) to (3,2);
+\end{tikzpicture}
+\end{codeexample}
+ \end{itemize}
+\end{pathoperation}
+
+
+\subsection{Referencing Nodes Outside the Current Pictures}
+
+\label{section-cross-picture-tikz}
+
+\subsubsection{Referencing a Node in a Different Picture}
+
+It is possible (but not quite trivial) to reference nodes in pictures
+other than the current one. This means that you can create a picture
+and a node therein and, later, you can draw a line from some other
+position to this node.
+
+To reference nodes in different pictures, proceed as follows:
+\begin{enumerate}
+\item You need to add the |remember picture| option to all pictures
+ that contain nodes that you wish to reference and also to all
+ pictures from which you wish to reference a node in another
+ picture.
+\item You need to add the |overlay| option to paths or to whole
+ pictures that contain references to nodes in different
+ pictures. (This option switches the computation of the
+ bounding box off.)
+\item You need to use a driver that supports picture remembering
+ (currently, this is only pdf\TeX). With the pdf\TeX\ driver you also
+ need to run \TeX\ twice.
+\end{enumerate}
+(For more details on what is going on behind the scenes, see
+Section~\ref{section-cross-pictures-pgf}.)
+
+Let us have a look at the effect of these options.
+\begin{itemize}
+ \itemoption{remember picture}\opt{|=|\meta{true or false}} This option
+ tells \tikzname\ that it should attempt to remember the position of
+ the current picture on the page. This attempt may fail depending on
+ which backend driver is used. Also, even if remembering works, the
+ position may only be available on a second run of \TeX.
+
+ Provided that remebering works, you may consider saying
+\begin{codeexample}[code only]
+\tikzsytle{every picture}+=[remember picture]
+\end{codeexample}
+ to make \tikzname\ remember all pictures. This will add one line in
+ the |.aux| file for each picture in your document -- which typically
+ is not very much. Then, you do not have to worry about remembered
+ pictures at all.
+ \itemoption{overlay}
+ This option is mainly intended for use when nodes in other pictures
+ are referenced, but you can also use it in other situations. The
+ effect of this option is that everything within the current scope is
+ not taken into consideration when the bounding box of the current
+ picture is computed.
+
+ You need to specify this option on all paths (or at least on all
+ parts of paths) that contain a reference to a node in another
+ picture. The reason is that, otherwise, \tikzname\ will attempt to
+ make the current picture large enough to encompass \emph{the node in
+ the other picture}. However, on a second run of \TeX\ this will
+ create an even bigger picture, leading to larger and larger
+ pictures. Unless you know what you are doing, I suggest specifying
+ the |overlay| option with all pictures that contain references to
+ other pictures.
+\end{itemize}
+
+Let us now have a look at a few examples. These examples work only if
+this document is processed with a driver that supports picture
+remembering.
+
+\noindent\begin{minipage}{\textwidth}
+Inside the current text we place two pictures, containing nodes named
+|n1| and |n2|, using
+\begin{codeexample}[code only]
+\tikz[remember picture] \node[circle,fill=red!50] (n1) {};
+\end{codeexample}
+which yields \tikz[remember picture] \node[circle,fill=red!50] (n1)
+{};, and
+\begin{codeexample}[code only]
+\tikz[remember picture] \node[fill=blue!50] (n2) {};
+\end{codeexample}
+yielding the node \tikz[remember picture] \node[fill=blue!50] (n2)
+{};. To connect these nodes, we create another picture using the
+|overlay| option and also the |remember picture| option.
+\begin{codeexample}[]
+\begin{tikzpicture}[remember picture,overlay]
+ \draw[->,very thick] (n1) -- (n2);
+\end{tikzpicture}
+\end{codeexample}
+Note that the last picture is seemingly empty. What happens is that it
+has zero size and contains an arrow that lies well outside its bounds.
+As a last example, we connect a node in another picture to the first
+two nodes. Here, we provide the |overlay| option only with the line
+that we do not wish to count as part of the picture.
+\begin{codeexample}[]
+\begin{tikzpicture}[remember picture]
+ \node (c) [circle,draw] {Big circle};
+
+ \draw [overlay,->,very thick,red,opacity=.5]
+ (c) to[bend left] (n1) (n1) -| (n2);
+\end{tikzpicture}
+\end{codeexample}
+\end{minipage}
+
+
+\subsubsection{Referencing the Current Page Node -- Absolute Positioning}
+
+There is a special node called |current page| that can be used to
+access the current page. It is a node of shape rectangle whose
+|south west| anchor is the lower left corner of the page and whose
+|north east| anchor is the upper right corner of the page. While this
+node is handled in a special way internally, you can reference it as
+if it were defined in some remembered picture other than the current
+one. Thus, by giving the |remembered picture| and the |overlay|
+options to a picture, you can position nodes \emph{absolutely} on a
+page.
+
+The first example places some text in the lower left corner of the
+current page:
+\begin{codeexample}[]
+\begin{tikzpicture}[remember picture,overlay]
+ \node [xshift=1cm,yshift=1cm] at (current page.south west)
+ [text width=7cm,fill=red!20,rounded corners,above right]
+ {
+ This is an absolutely positioned text in the
+ lower left corner. No shipout-hackery is used.
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+The next example adds a circle in the middle of the page.
+\begin{codeexample}[]
+\begin{tikzpicture}[remember picture,overlay]
+ \draw [line width=1mm,opacity=.25]
+ (current page.center) circle (3cm);
+\end{tikzpicture}
+\end{codeexample}
+
+The final example overlays some text over the page (depending on where
+this example is found on the page, the text may also be behind the
+page).
+\begin{codeexample}[]
+\begin{tikzpicture}[remember picture,overlay]
+ \node [rotate=60,scale=10,text opacity=0.2]
+ at (current page.center) {Example};
+\end{tikzpicture}
+\end{codeexample}
+
+
\subsection{Predefined Shapes}
+
+\label{section-nodes-predefined}
+
\label{section-the-shapes}
\pgfname\ and \tikzname\ define three shapes, by default:
@@ -729,12 +1300,8 @@ Section~\ref{section-node-coordinates}. Suppose you have said
\item
|coordinate|.
\end{itemize}
-By loading library packages, you can define more shapes. Currently,
-the package |pgflibraryshapes| defines
-\begin{itemize}
-\item
- |ellipse|.
-\end{itemize}
+By loading library packages, you can define more shapes like ellipses
+or diamonds; see the library section for the complete list of shapes.
The exact behaviour of these shapes differs, shapes defined for more
special purposes (like a, say, transistor shape) will have even more
@@ -817,6 +1384,16 @@ shapes:
\draw (0,-2) node[minimum size=2cm,draw,circle] {circle};
\end{tikzpicture}
\end{codeexample}
+
+ \itemoption{aspect}|=|\meta{aspect ratio}
+ sets a desired aspect ratio for the shape. For the |diamond| shape,
+ this option sets the ratio between width and height of the shape.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) node[aspect=1,diamond,draw] {aspect 1};
+ \draw (0,-2) node[aspect=2,diamond,draw] {aspect 2};
+\end{tikzpicture}
+\end{codeexample}
\end{itemize}
\label{section-tikz-coordinate-shape}
@@ -843,6 +1420,43 @@ demonstrates the difference:
\end{codeexample}
+\subsection{Executing Code After Nodes}
+
+\label{section-nodes-executing}
+
+It is possible to add a path right after a node using the option
+|after node path|. The idea is that a style might use this option to
+add some additional stuff to the node that has just been typeset.
+
+\begin{itemize}
+ \itemoption{after node path}|=|\meta{path}
+ The \meta{path} is added to the main path right after the node, as
+ if you had given the path thereafter. This option can only be given
+ inside the option list of a node and multiple calls of this option
+ accumulate.
+
+ Inside the \meta{path} you have access to the node that has just
+ been created via the macro \declare{|\tikzlastnode|}.
+\begin{codeexample}[]
+\tikz
+ \draw node [draw,after node path={(\tikzlastnode) circle (2cm)}]
+ {hello};
+\end{codeexample}
+
+ Note that in the above example, if we had written |\path| instead of
+ |\draw|, the circle would not have been drawn since the circle is
+ part of the main path, not part of the node itself.
+\end{itemize}
+
+\begin{command}{\tikzaddafternodepathoption\marg{code}}
+ This command allows you to specify that the \meta{code} should be
+ executed at the beginning of the |after node path| of the current
+ node. The code will also be executed immediately, but also again at
+ the beginning of an |after node path|.
+\end{command}
+
+
+
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "pgfmanual"
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-transformations.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-transformations.tex
index 874d1682df9..82a99bbd4b1 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-transformations.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-transformations.tex
@@ -1,9 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Transformations}
@@ -61,7 +63,8 @@ coordinates and shapes, anchors, and bounding box computations will no
longer work.
-\subsection{The Xy- and Xyz-Coordinate Systems}
+\subsection{The XY- and XYZ-Coordinate Systems}
+\label{section-xyz}
The first and easiest coordinate systems are \pgfname's $xy$- and
$xyz$-coordinate systems. The idea is very simple: Whenever you
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-trees.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-trees.tex
index fb53ead11d1..3aa66b26e79 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-trees.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-trees.tex
@@ -1,9 +1,11 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\section{Making Trees Grow}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tutorial-nodes.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tutorial-nodes.tex
new file mode 100644
index 00000000000..ea6765f29e9
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tutorial-nodes.tex
@@ -0,0 +1,1084 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\section{Tutorial: A Petri-Net for Hagen}
+
+In this second tutorial we explore the node mechanism of
+\tikzname\ and \pgfname.
+
+Hagen must give a talk tomorrow about his favorite formalism for
+distributed systems: Petri nets! Hagen used to give his talks using a
+blackboard and everyone seemed to be perfectly concent with
+this. Unfortunately, his audience has been spoiled recently with fancy
+projector-based presentations and there seems to be a certain amount
+of peer pressure that this Petri nets should also be drawn using a
+graphic program. One of the professors at his institutes recommends
+\tikzname\ for this and Hagen decides to give it a try.
+
+
+\subsection{Problem Statement}
+
+For his talk, Hagen wishes to create a graphic that demonstrates how a
+net with place capacities can be simulated by a net without
+capacities. The graphic should look like this, ideally:
+
+\begin{quote}
+\begin{tikzpicture}[node distance=1.3cm,>=stealth',bend angle=45,auto]
+
+ \tikzstyle{place}=[circle,thick,draw=blue!75,fill=blue!20,minimum size=6mm]
+ \tikzstyle{red place}=[place,draw=red!75,fill=red!20]
+ \tikzstyle{transition}=[rectangle,thick,draw=black!75,fill=black!20,minimum size=4mm]
+
+ \tikzstyle{every label}=[red]
+
+ \begin{scope}
+ % First net
+ \node [place,tokens=1] (w1) {};
+ \node [place] (c1) [below of=w1] {};
+ \node [place] (s) [below of=c1,label=above:$s\le 3$] {};
+ \node [place] (c2) [below of=s] {};
+ \node [place,tokens=1] (w2) [below of=c2] {};
+
+ \node [transition] (e1) [left of=c1] {}
+ edge [pre,bend left] (w1)
+ edge [post,bend right] (s)
+ edge [post] (c1);
+
+ \node [transition] (e2) [left of=c2] {}
+ edge [pre,bend right] (w2)
+ edge [post,bend left] (s)
+ edge [post] (c2);
+
+ \node [transition] (l1) [right of=c1] {}
+ edge [pre] (c1)
+ edge [pre,bend left] (s)
+ edge [post,bend right] node[swap] {2} (w1);
+
+ \node [transition] (l2) [right of=c2] {}
+ edge [pre] (c2)
+ edge [pre,bend right] (s)
+ edge [post,bend left] node {2} (w2);
+ \end{scope}
+
+ \begin{scope}[xshift=6cm]
+ % Second net
+ \node [place,tokens=1]
+ (w1') {};
+ \node [place] (c1') [below of=w1'] {};
+ \node [red place] (s1') [below of=c1',xshift=-5mm,label=left:$s$] {};
+ \node [red place,tokens=3]
+ (s2') [below of=c1',xshift=5mm,label=right:$\bar s$] {};
+ \node [place] (c2') [below of=s1',xshift=5mm] {};
+ \node [place,tokens=1]
+ (w2') [below of=c2'] {};
+
+ \node [transition] (e1') [left of=c1'] {}
+ edge [pre,bend left] (w1')
+ edge [post] (s1')
+ edge [pre] (s2')
+ edge [post] (c1');
+
+ \node [transition] (e2') [left of=c2'] {}
+ edge [pre,bend right] (w2')
+ edge [post] (s1')
+ edge [pre] (s2')
+ edge [post] (c2');
+
+ \node [transition] (l1') [right of=c1'] {}
+ edge [pre] (c1')
+ edge [pre] (s1')
+ edge [post] (s2')
+ edge [post,bend right] node[swap] {2} (w1');
+
+ \node [transition] (l2') [right of=c2'] {}
+ edge [pre] (c2')
+ edge [pre] (s1')
+ edge [post] (s2')
+ edge [post,bend left] node {2} (w2');
+ \end{scope}
+
+ \draw [-to,thick,snake=snake,segment amplitude=.4mm,segment length=2mm,line after snake=1mm]
+ ([xshift=5mm]s -| l1) -- ([xshift=-5mm]s1' -| e1')
+ node [above=1mm,midway,text width=3cm,text centered]
+ {replacement of the \textcolor{red}{capacity} by \textcolor{red}{two places}};
+
+ \begin{pgfonlayer}{background}
+ \filldraw [line width=4mm,join=round,black!10]
+ (w1.north -| l1.east) rectangle (w2.south -| e1.west)
+ (w1'.north -| l1'.east) rectangle (w2'.south -| e1'.west);
+ \end{pgfonlayer}
+\end{tikzpicture}
+\end{quote}
+
+
+\subsection{Setting up the Environment}
+
+For the picture Hagen will need to load the \tikzname\ package as did
+Karl in the previous tutorial. However, Hagen will also need to load
+some additional \emph{library packages} that Karl did not need. These
+library packages contain additional definitions like extra arrow tips
+that are typically not needed in a picture and that need to be
+loaded explicitly.
+
+Hagen will need to load three libraries: The arrow tip library for the
+special arrow tip used in the graphic, the snake library with the
+``snaking line'' in the middle, and the background library for the two
+rectangular areas that are behind the two main parts of the picture.
+
+
+\subsubsection{Setting up the Environment in \LaTeX}
+
+When using \LaTeX\ use:
+
+\begin{codeexample}[code only]
+\documentclass{article} % say
+
+\usepackage{tikz}
+\usetikzlibrary{arrows,snakes,backgrounds}
+
+\begin{document}
+\begin{tikzpicture}
+ \draw (0,0) -- (1,1);
+\end{tikzpicture}
+\end{document}
+\end{codeexample}
+
+
+\subsubsection{Setting up the Environment in Plain \TeX}
+
+When using plain \TeX\ use:
+
+\begin{codeexample}[code only]
+%% Plain TeX file
+\input tikz.tex
+\usetikzlibrary{arrows,snakes,backgrounds}
+\baselineskip=12pt
+\hsize=6.3truein
+\vsize=8.7truein
+\tikzpicture
+ \draw (0,0) -- (1,1);
+\endtikzpicture
+\bye
+\end{codeexample}
+
+
+\subsubsection{Setting up the Environment in Con\TeX t}
+
+When using Con\TeX\ use:
+\begin{codeexample}[code only]
+%% ConTeXt file
+\usemodule[tikz]
+\usetikzlibrary[arrows,snakes,backgrounds]
+
+\starttext
+ \starttikzpicture
+ \draw (0,0) -- (1,1);
+ \stoptikzpicture
+\startext
+\end{codeexample}
+
+
+
+\subsection{Introduction to Nodes}
+
+In principle, we already know how to create the graphics that Hagen
+desires (except perhaps for the snaked line, we will come to that): We
+start with big light gray rectangle and then add lots of circles and
+small rectangle, plus some arrows.
+
+However, this approach has numerous disadvantages: First, it is hard
+to change anything at a later stage. For example, if we decide to add
+more places to the Petri nets (the circles are called places in Petri
+net theory), all of the coordinates change and we need to recalculate
+everything. Second, it is hard to read the code for the Petri net as
+it just a long and complicated list of coordinates and drawing
+commands -- the underlying structure of the Petri net is lost.
+
+Fortunately, \tikzname\ offers a powerful mechanism for avoiding the
+above problems: nodes. We already came across nodes in the previous
+tutorial, where we used them to add labels to Karl's graphic. In the
+present tutorial we will see that nodes are much more powerful.
+
+A node is a small part of a picture. When a node is created, you
+provide a position where the node should be drawn and a
+\emph{shape}. A node of shape |circle| will be drawn as a circle, a
+node of shape |rectangle| as a rectangle, and so on. A node may also
+contain same text, which is why Karl used nodes to show text. Finally,
+a node can get a \emph{name} for later reference.
+
+In Hagen's picture we will use nodes for the places and for the
+transitions of the Petri net (the places are the circles, the
+transitions are the rectangles). Let us start with the upper half of
+the left Petir net. In this upper half we have three places and two
+transitions. Instead of drawing three circles and two rectangles, we
+use three nodes of shape |circle| and two nodes of shape
+|rectangle|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \path ( 0,2) node [shape=circle,draw] {}
+ ( 0,1) node [shape=circle,draw] {}
+ ( 0,0) node [shape=circle,draw] {}
+ ( 1,1) node [shape=rectangle,draw] {}
+ (-1,1) node [shape=rectangle,draw] {};
+\end{tikzpicture}
+\end{codeexample}
+
+Hagen notes that this does not quite look like the final picture, but
+it seems like a good first step.
+
+Let us have a more detailed look at the code. The whole picture
+consists of a single path. Ignoring the |node| operations there is not
+much going on in this path: It is just a sequence of coordinates with
+nothing ``happening'' between them. Indeed, even if something were to
+happen like a line-to or a curve-to, the |\path| command would not
+``do'' anything with the resulting path. So, all the magic must be in
+the |node| commands.
+
+In the previous tutorial we learned that a |node| will add a piece of
+text at the last coordinate. Thus, each of the five nodes is added at
+a different position. In the above code, this text is empty
+(because of the empty |{}|). So, why do we see anything at all? The
+answer is the |draw| option for the |node| operation: It causes the
+``shape around the text'' to be drawn.
+
+So, the code |(0,2) node [shape=circle,draw] {}| means the following:
+``In the main path, add a move-to to the coordinate |(0,2)|. Then,
+temporarily suspend the construction of the main path while the node
+is build. This node will be a |circle| around an empty text. This
+circle is to be |draw|n, but not filled or otherwise used. Once this
+whole node is constructed, it is saved until after the
+main path is finished. Then, it is drawn.'' Then following
+|(0,1) node [shape=circle,draw] {}| then has the following effect:
+``Continue the main path with a move-to to |(0,1)|. Then construct a
+node at this position also. This node is also shown after the main
+path is finished.'' And so on.
+
+
+
+\subsection{Placing Nodes Using the At Syntax}
+
+Hagen now understands how the |node| operation adds nodes to the path,
+but it seems a bit silly to create a path using the |\path| operation,
+consisting of numerous superfluous move-to operations, only to place
+nodes. He is pleased to learn that there are ways to add nodes in a
+more sensible manner.
+
+First, the |node| operation allows one to add
+|at (|\meta{coordinate}|)| in order to directly specify where the node
+should be placed, sidestepping the rule that nodes are placed on the
+last coordinate. Hagen can then write the following:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \path node at ( 0,2) [shape=circle,draw] {}
+ node at ( 0,1) [shape=circle,draw] {}
+ node at ( 0,0) [shape=circle,draw] {}
+ node at ( 1,1) [shape=rectangle,draw] {}
+ node at (-1,1) [shape=rectangle,draw] {};
+\end{tikzpicture}
+\end{codeexample}
+
+Now Hagen is still left with a single empty path, but at least the
+path no longer contains strange move-tos. It turns out that this can
+be improved further: The |\node| command is an abbreviation for
+|\path node|, which allows Hagen to write:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node at ( 0,2) [circle,draw] {};
+ \node at ( 0,1) [circle,draw] {};
+ \node at ( 0,0) [circle,draw] {};
+ \node at ( 1,1) [rectangle,draw] {};
+ \node at (-1,1) [rectangle,draw] {};
+\end{tikzpicture}
+\end{codeexample}
+
+Hagen likes this syntax much better than the previous one. Note that
+Hagen has also omitted the |shape=| since, like |color=|, \tikzname\
+allows you to omit the |shape=| if there is no confusion.
+
+
+
+\subsection{Using Styles}
+
+Feeling adventurous, Hagen tries to make the nodes look nicer. In the
+final picture, the circles and rectangle should be filled with
+different colors, resulting in the following code:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[thick]
+ \node at ( 0,2) [circle,draw=blue!50,fill=blue!20] {};
+ \node at ( 0,1) [circle,draw=blue!50,fill=blue!20] {};
+ \node at ( 0,0) [circle,draw=blue!50,fill=blue!20] {};
+ \node at ( 1,1) [rectangle,draw=black!50,fill=black!20] {};
+ \node at (-1,1) [rectangle,draw=black!50,fill=black!20] {};
+\end{tikzpicture}
+\end{codeexample}
+
+While this looks nicer in the picture, the code starts to get a bit
+ugly. Ideally, we would like our code to transport the message ``there
+are three places and two transitions'' and not so much which
+filling colors should be used.
+
+To solve this problem, Hagen uses styles. He defines a style for
+places and another style for transitions:
+
+\begin{codeexample}[]
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick]
+\begin{tikzpicture}
+ \node at ( 0,2) [place] {};
+ \node at ( 0,1) [place] {};
+ \node at ( 0,0) [place] {};
+ \node at ( 1,1) [transition] {};
+ \node at (-1,1) [transition] {};
+\end{tikzpicture}
+\end{codeexample}
+
+
+\subsection{Node Size}
+
+Before Hagen starts naming and connecting the nodes, let us first
+make sure that the nodes get their final appearance. They are still
+too small. Indeed, Hagen wonders why they have any size at all, after
+all, the text is empty. The reason is than \tikzname\ automatically
+adds some space around the text. The amount is set using the option
+|inner sep|. So, to increase the size of the nodes, Hagen could write:
+
+\begin{codeexample}[]
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick]
+\begin{tikzpicture}[inner sep=2mm]
+ \node at ( 0,2) [place] {};
+ \node at ( 0,1) [place] {};
+ \node at ( 0,0) [place] {};
+ \node at ( 1,1) [transition] {};
+ \node at (-1,1) [transition] {};
+\end{tikzpicture}
+\end{codeexample}
+
+However, this is not really the best way to achieve the desired
+effect. It is much better to use the |minimum size| option
+instead. This option allows Hagen to specify a minimum size that the
+node should have. If the nodes actually needs to be bigger because of
+a longer text, it will be larger, but if the text is empty, then the
+node will have |minimum size|. This option is also useful to ensure
+that several nodes containing different amounts of text have the same
+size. The options |minimum height| and |minimum width| allow you to
+specify the minimum height and width independently.
+
+So, what Hagen needs to do is to provide |minimum size| for the
+nodes. To be on the safe side, he also sets |inner sep=0pt|. This
+ensures that the nodes will really have size |minimum size| and not,
+for very small minimum sizes, the minimal size necessary to encompass
+the automatically added space.
+
+\begin{codeexample}[]
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{tikzpicture}
+ \node at ( 0,2) [place] {};
+ \node at ( 0,1) [place] {};
+ \node at ( 0,0) [place] {};
+ \node at ( 1,1) [transition] {};
+ \node at (-1,1) [transition] {};
+\end{tikzpicture}
+\end{codeexample}
+
+
+
+
+\subsection{Naming Nodes}
+
+Hagen's next aim is to connect the nodes using arrows. This seems like
+a tricky business since the arrows should not start in the middle of
+the nodes, but somewhere on the border and Hagen would very much like
+to avoid computing these positions by hand.
+
+Fortunately, \pgfname\ will perform all the necessary calculations for
+him. However, he first has to assign names to the nodes so that he can
+reference them later on.
+
+There are two ways to name a node. The first is the use the |name=|
+option. The second method is to write the desired name in parentheses
+after the |node| operation. Hagen thinks that this second method seems
+strange, but he will soon change his opinion.
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+% ... setup styles
+\begin{tikzpicture}
+ \node (waiting 1) at ( 0,2) [place] {};
+ \node (critical 1) at ( 0,1) [place] {};
+ \node (semaphore) at ( 0,0) [place] {};
+ \node (leave critical) at ( 1,1) [transition] {};
+ \node (enter critical) at (-1,1) [transition] {};
+\end{tikzpicture}
+\end{codeexample}
+}
+
+Hagen is pleased to note that the names help in understanding the
+code. Names for nodes can be pretty arbitrary, but they should not
+contain commas, periods, parentheses, colons, and some other special
+characters. However, they can contain underscores and hyphens.
+
+The syntax for the |node| operation is quite liberal with respect to
+the order in which node names, the |at| specifier, and the options
+must come. Indeed, you can even have multiple option blocks between
+the |node| and the text in curly braces, they accumulate. You can
+rearrange them arbitrarily and perhaps the following might be preferable:
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place] (waiting 1) at ( 0,2) {};
+ \node[place] (critical 1) at ( 0,1) {};
+ \node[place] (semaphore) at ( 0,0) {};
+ \node[transition] (leave critical) at ( 1,1) {};
+ \node[transition] (enter critical) at (-1,1) {};
+\end{tikzpicture}
+\end{codeexample}
+}
+
+
+
+\subsection{Placing Nodes Using Relative Placement}
+
+Although Hagen still wishes to connect the nodes, he first wishes to
+address another problem again: The placement of the nodes. Although he
+likes the |at| syntax, in this particular case he would prefer placing
+the nodes ``relative to each other.'' So, Hagen would like to say that
+the |critical 1| node should be below the |waiting 1| node, wherever
+the |waiting 1| node might be. There are different ways of achieving
+this, but the nicest one in Hagen's case is the |below of| option:
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical] {};
+ \node[transition] (leave critical) [right of=critical] {};
+ \node[transition] (enter critical) [left of=critical] {};
+\end{tikzpicture}
+\end{codeexample}
+}
+
+The |below of| and similar options setup the position of the node in
+such a manner that it is placed at the distance |node distance| in the
+specified direction of the given direction. The |node distance| is the
+distance between the centers of the nodes, not between the borders.
+
+Even though the above code has the same effect the earlier code, Hagen
+can pass it to his colleagues how will be able to just read and
+understand it, perhaps without even having to see the picture.
+
+
+
+\subsection{Adding Labels Next to Nodes}
+
+Before we have a look at how Hagen can connect the nodes, let us add
+the capacity ``$s \le 3$'' to the bottom node. For this, two
+approaches are possible:
+\begin{enumerate}
+\item Hagen can just add a new node above the |north| anchor of the
+ |semaphore| node.
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical] {};
+ \node[transition] (leave critical) [right of=critical] {};
+ \node[transition] (enter critical) [left of=critical] {};
+
+ \node [red,above] at (semaphore.north) {$s\le 3$};
+\end{tikzpicture}
+\end{codeexample}
+}
+This is a general approach that will ``always work.''
+
+\item Hagen can use the special |label| option. This option is given
+ to a |node| and it causes \emph{another} node to be added next to
+ the node where the option is given. Here is the idea: When we
+ construct the |semaphore| node, we wish to indicate that we want
+ another node with the capacity above it. For this, we use the option
+ |label=above:$s\le 3$|. This option is interpreted as follows: We
+ want a node above the |semaphore| node and this node should read
+ ``$s \le 3$.'' Instead of |above| we could also use things like
+ |below left| before the colon or a number like |60|.
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical,
+ label=above:$s\le3$] {};
+ \node[transition] (leave critical) [right of=critical] {};
+ \node[transition] (enter critical) [left of=critical] {};
+\end{tikzpicture}
+\end{codeexample}
+}
+ It is also possible to give multiple |label| options, this causes
+ multiple labels to be drawn.
+\begin{codeexample}[]
+\tikz
+ \node [circle,draw,label=60:$60^\circ$,label=below:$-90^\circ$] {my circle};
+\end{codeexample}
+ Hagen is not fully satisfied with the |label| option since the label
+ is not red. To achieve this, has has two options: First, he can
+ redefine the |every label| style. Second, he can add options to the
+ label's node. These options are given following the |label=|, so he
+ would write |label=[red]above:$s\le3$|. However, this does not quite
+ work since \TeX\ thinks that the |]| closes the whole option list of
+ the |semaphore| node. So, Hagen has to add braces and writes
+ |label={[red]above:$s\le3$}|. Since this looks a bit ugly, Hagen
+ decides to redefine the |every label| style.
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every label}=[red]
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical,
+ label=above:$s\le3$] {};
+ \node[transition] (leave critical) [right of=critical] {};
+ \node[transition] (enter critical) [left of=critical] {};
+\end{tikzpicture}
+\end{codeexample}
+}
+\end{enumerate}
+
+
+
+\subsection{Connecting Nodes}
+
+It is now high time to connect the nodes. Let us start with something
+simple, namely with the straight line from |enter critical| to
+|critical|. We want this line to start at the right side of
+|enter critical| and to end at the left side of |critical|. For
+this, we can use the \emph{anchors} of the nodes. Every node defines a
+whole bunch of anchors that lie on its border or inside it. For
+example, the |center| anchor is at the center of the node, the |west|
+anchor is on the left of the node, and so on. To access the coordinate
+of a node, we use a coordinate that contains the node's name followed
+by a dot, followed by the anchor's name:
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical] {};
+ \node[transition] (leave critical) [right of=critical] {};
+ \node[transition] (enter critical) [left of=critical] {};
+ \draw [->] (critical.west) -- (enter critical.east);
+\end{tikzpicture}
+\end{codeexample}
+}
+
+Next, let us tackle the curve from |waiting| to |enter critical|. This
+can be specified using curves and controls:
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical] {};
+ \node[transition] (leave critical) [right of=critical] {};
+ \node[transition] (enter critical) [left of=critical] {};
+ \draw [->] (enter critical.east) -- (critical.west);
+ \draw [->] (waiting.west) .. controls +(left:5mm) and +(up:5mm)
+ .. (enter critical.north);
+\end{tikzpicture}
+\end{codeexample}
+}
+
+Hagen sees how he can now add all his edges, but the whole process
+seems a but awkward and not very flexible. Again, the code seems to
+obscure the structure of the graphic rather than showing it.
+
+So, let us start improving the code for the edges. First, Hagen can
+leave out the anchors:
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical] {};
+ \node[transition] (leave critical) [right of=critical] {};
+ \node[transition] (enter critical) [left of=critical] {};
+ \draw [->] (enter critical) -- (critical);
+ \draw [->] (waiting) .. controls +(left:8mm) and +(up:8mm)
+ .. (enter critical);
+\end{tikzpicture}
+\end{codeexample}
+}
+
+Hagen is a bit surprised that this works. After all, how did
+\tikzname\ know that the line from |enter critical| to |critical|
+should actually start on the borders? Whenever \tikzname\ encounters a
+whole node name as a ``coordinate,'' it tries to ``be smart'' about
+the anchor that it should choose for this node. Depending on what
+happens next, \tikzname\ will choose an anchor that lies on the border
+of the node on a line to the next coordinate or control point. The
+exact rules are a bit complex, but the chosen point will usually be
+correct -- and when it is not, Hagen can still specify the desired
+anchor by hand.
+
+Hagen would now like to simplify the curve operation somehow. It turns
+out that this can be accomplished using a special path operation: the
+|to| operation. This operation takes many options (you can even define
+new ones yourself). One pair of option is useful for Hagen: The pair
+|in| and |out|. These options take angles at which a curve should
+leave or reach the start or target coordinates. Without these options,
+a straight line is drawn:
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical] {};
+ \node[transition] (leave critical) [right of=critical] {};
+ \node[transition] (enter critical) [left of=critical] {};
+ \draw [->] (enter critical) to (critical);
+ \draw [->] (waiting) to [out=180,in=90] (enter critical);
+\end{tikzpicture}
+\end{codeexample}
+}
+
+There is another option for the |to| operation, that is even better
+suited to Hagen's problem: The |bend right| option. This option also
+takes an angle, but this angle only specifies the angle by which the
+curve is bend to the right:
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical] {};
+ \node[transition] (leave critical) [right of=critical] {};
+ \node[transition] (enter critical) [left of=critical] {};
+ \draw [->] (enter critical) to (critical);
+ \draw [->] (waiting) to [bend right=45] (enter critical);
+ \draw [->] (enter critical) to [bend right=45] (semaphore);
+\end{tikzpicture}
+\end{codeexample}
+}
+
+It is now time for Hagen to learn about yet another way of specifying
+edges: Using the |edge| path operation. This operation is very similar
+to the |to| operation, but there is one important difference: Like a
+node the edge generated by the |edge| operation is not part of the
+main path, but is added only later. This may not seem very important,
+but is has some nice consequences. For example, every edge can have
+its own arrow tips and its own color and so one and, still, all the
+edges can be given on the same path. This allows Hagen to write the
+following:
+
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical] {};
+ \node[transition] (leave critical) [right of=critical] {};
+ \node[transition] (enter critical) [left of=critical] {}
+ edge [->] (critical)
+ edge [<-,bend left=45] (waiting)
+ edge [->,bend right=45] (semaphore);
+\end{tikzpicture}
+\end{codeexample}
+}
+
+Each |edge| caused a new path to be constructed, consisting of a |to|
+between the node |enter critical| and the node following the |edge|
+command.
+
+The finishing touch is to introduce two styles |pre| and |post| and to
+use the |bend angle=45| option to set the bend angle once and for all:
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\begin{codeexample}[]
+% Styles place and transition as before
+\tikzstyle{pre}=[<-,shorten <=1pt,>=stealth',semithick]
+\tikzstyle{post}=[->,shorten >=1pt,>=stealth',semithick]
+\begin{tikzpicture}[bend angle=45]
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical] {};
+
+ \node[transition] (leave critical) [right of=critical] {}
+ edge [pre] (critical)
+ edge [post,bend right] (waiting)
+ edge [pre, bend left] (semaphore);
+ \node[transition] (enter critical) [left of=critical] {}
+ edge [post] (critical)
+ edge [pre, bend left] (waiting)
+ edge [post,bend right] (semaphore);
+\end{tikzpicture}
+\end{codeexample}
+}
+
+
+
+
+\subsection{Adding Labels Next to Lines}
+
+The next thing that Hagen needs to add is the ``$2$'' at the arcs. For
+this Hagen can use \tikzname's automatic node placement: By adding the
+option |auto|, \tikzname\ will position nodes on curves and lines in
+such a way that they are not on the curve but next to it. Adding
+|swap| will mirror the label with respect to the line. Here is a
+general example:
+
+{
+\begin{codeexample}[]
+\begin{tikzpicture}[auto,bend right]
+ \node (a) at (0:1) {$0^\circ$};
+ \node (b) at (120:1) {$120^\circ$};
+ \node (c) at (240:1) {$240^\circ$};
+
+ \draw (a) to node {1} node [swap] {1'} (b)
+ (b) to node {2} node [swap] {2'} (c)
+ (c) to node {3} node [swap] {3'} (a);
+\end{tikzpicture}
+\end{codeexample}
+}
+
+What is happening here? The nodes are given somehow inside the |to|
+operation! When this is done, the node is placed on the middle of the
+curve or line created by the |to| operation. The |auto| option then
+causes the node to be moved in such a way that it does not lie on the
+curve, but next to it. In the example we provide even two nodes on
+each |to| operation.
+
+For Hagen that |auto| option is not really necessary since the two
+``2'' labels could also easily be placed ``by hand.'' However, in a
+complicated plot with numerous edges automatic placement can be a
+blessing.
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\tikzstyle{pre}=[<-,shorten <=1pt,>=stealth',semithick]
+\tikzstyle{post}=[->,shorten >=1pt,>=stealth',semithick]
+\begin{codeexample}[]
+% Styles as before
+\begin{tikzpicture}[bend angle=45]
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical] {};
+
+ \node[transition] (leave critical) [right of=critical] {}
+ edge [pre] (critical)
+ edge [post,bend right] node[auto,swap] {2} (waiting)
+ edge [pre, bend left] (semaphore);
+ \node[transition] (enter critical) [left of=critical] {}
+ edge [post] (critical)
+ edge [pre, bend left] (waiting)
+ edge [post,bend right] (semaphore);
+\end{tikzpicture}
+\end{codeexample}
+}
+
+
+
+\subsection{Adding the Snaked Line and Multi-Line Text}
+
+With the node mechanism Hagen can now easily create the two Petri
+nets. What he is unsure of is how he can create the snaked line
+between the nets.
+
+For this he can use a \emph{snake}. Snakes a called thus since the
+most basic form of a snake looks exactly like a snake. However, and
+repeating pattern can be used as a snake like bumps or a saw or even
+much more complicated stuff.
+
+To draw the snake, Hagen only needs to set the |snake=snake| option on
+the path. This causes all straight lines of the path to be replaced by
+snakes. It is also possible to use snakes only in certain parts of a
+path, but Hagen will not need this.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw [->,snake=snake] (0,0) -- (2,0);
+\end{tikzpicture}
+\end{codeexample}
+
+Well, that does not look quite right, yet. The problem is that the
+snake happens to end exactly at the position where the arrow
+begins. Fortunately, there is an option that helps here. Also, the
+snake should be a bit smaller, which can be influenced by even more
+options.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw [->,snake=snake,
+ segment amplitude=.4mm,
+ segment length=2mm,
+ line after snake=1mm] (0,0) -- (3,0);
+\end{tikzpicture}
+\end{codeexample}
+
+Now Hagen needs to add the text above the snake. This text is a bit
+challenging since it is a multi-line text. To typeset such text, Hagen
+needs to specify a width for the text and he needs to specify that the
+text should be centered.
+
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw [->,snake=snake,
+ segment amplitude=.4mm,
+ segment length=2mm,
+ line after snake=1mm] (0,0) -- (3,0)
+ node [above,text width=3cm,text centered,midway]
+ {
+ replacement of the \textcolor{red}{capacity} by
+ \textcolor{red}{two places}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+
+
+\subsection{Using Layers: The Background Rectangles}
+
+Hagen still needs to add the background rectangles. These are a bit
+tricky: Hagen would like to draw the rectangles \emph{after} the Petri
+nets are finished. The reason is that only then can he conveniently
+refer to the coordinates that make up the corners of the
+rectangle. If Hagen draws the rectangle first, then he needs to know
+the exact size of the Petri net -- which he does not.
+
+The solution is to use \emph{layers}. When the background library is
+loaded, Hagen can put parts of his picture inside a |{pgfonlayer}|
+environment. Then this part of the picture becomes part of the layer
+that is given as an argument to this environment. When the
+|{tikzpicture}| environment ends, the layers are put on top of each
+other, starting with the background layer. This causes everything
+drawn on the background layer to be behind the main text.
+
+
+{
+\tikzstyle{place}=[circle,draw=blue!50,fill=blue!20,thick,
+ inner sep=0pt,minimum size=6mm]
+\tikzstyle{transition}=[rectangle,draw=black!50,fill=black!20,thick,
+ inner sep=0pt,minimum size=4mm]
+\tikzstyle{pre}=[<-,shorten <=1pt,>=stealth',semithick]
+\tikzstyle{post}=[->,shorten >=1pt,>=stealth',semithick]
+\begin{codeexample}[]
+% Styles as before
+\begin{tikzpicture}[bend angle=45]
+ \node[place] (waiting) {};
+ \node[place] (critical) [below of=waiting] {};
+ \node[place] (semaphore) [below of=critical] {};
+
+ \node[transition] (leave critical) [right of=critical] {}
+ edge [pre] (critical)
+ edge [post,bend right] node[auto,swap] {2} (waiting)
+ edge [pre, bend left] (semaphore);
+ \node[transition] (enter critical) [left of=critical] {}
+ edge [post] (critical)
+ edge [pre, bend left] (waiting)
+ edge [post,bend right] (semaphore);
+
+ \begin{pgfonlayer}{background}
+ \filldraw [fill=black!30,draw=red]
+ (semaphore.south -| enter critical.west)
+ rectangle (waiting.north -| leave critical.east);
+ \end{pgfonlayer}
+\end{tikzpicture}
+\end{codeexample}
+}
+
+
+
+
+\subsection{The Complete Code}
+
+Hagen has now finally put everything together. Only then does he learn
+that there is already a library for drawing Petri nets! It turns out
+that this library mainly provides the same definitions as Hagen
+did. For example, it defines a |place| style in a similar way as Hagen
+did. Adjusting the code so that it uses the library shortens Hagen
+code a bit, as shown in the following.
+
+First, Hagen needs less style definitions, but he still needs to
+specify the colors of places and transitions.
+
+\begin{codeexample}[code only]
+\tikzstyle{every place}= [minimum size=6mm,thick,draw=blue!75,fill=blue!20]
+\tikzstyle{every transition}=[thick,draw=black!75,fill=black!20]
+
+\tikzstyle{red place}= [place,draw=red!75,fill=red!20]
+
+\tikzstyle{every label}= [red]
+\begin{tikzpicture}[node distance=1.3cm,>=stealth',bend angle=45,auto]
+\end{codeexample}
+
+Now comes the code for the nets:
+
+{
+\tikzstyle{every place}=[minimum size=6mm,thick,draw=blue!75,fill=blue!20]
+\tikzstyle{every transition}=[thick,draw=black!75,fill=black!20]
+
+\tikzstyle{red place}= [place,draw=red!75,fill=red!20]
+
+\tikzstyle{every label}=[red]
+
+\tikzstyle{every picture}=[node distance=1.3cm,>=stealth',bend angle=45,auto]
+\begin{codeexample}[pre=\begin{tikzpicture},post=\end{tikzpicture}]
+ \node [place,tokens=1] (w1) {};
+ \node [place] (c1) [below of=w1] {};
+ \node [place] (s) [below of=c1,label=above:$s\le 3$] {};
+ \node [place] (c2) [below of=s] {};
+ \node [place,tokens=1] (w2) [below of=c2] {};
+
+ \node [transition] (e1) [left of=c1] {}
+ edge [pre,bend left] (w1)
+ edge [post,bend right] (s)
+ edge [post] (c1);
+ \node [transition] (e2) [left of=c2] {}
+ edge [pre,bend right] (w2)
+ edge [post,bend left] (s)
+ edge [post] (c2);
+ \node [transition] (l1) [right of=c1] {}
+ edge [pre] (c1)
+ edge [pre,bend left] (s)
+ edge [post,bend right] node[swap] {2} (w1);
+ \node [transition] (l2) [right of=c2] {}
+ edge [pre] (c2)
+ edge [pre,bend right] (s)
+ edge [post,bend left] node {2} (w2);
+\end{codeexample}
+}
+
+{
+\tikzstyle{every place}= [minimum size=6mm,thick,draw=blue!75,fill=blue!20]
+\tikzstyle{every transition}=[thick,draw=black!75,fill=black!20]
+
+\tikzstyle{red place}= [place,draw=red!75,fill=red!20]
+
+\tikzstyle{every label}=[red]
+
+\tikzstyle{every picture}=[node distance=1.3cm,>=stealth',bend angle=45,auto]
+\begin{codeexample}[pre=\begin{tikzpicture},post=\end{tikzpicture}]
+ \begin{scope}[xshift=6cm]
+ \node [place,tokens=1] (w1') {};
+ \node [place] (c1') [below of=w1'] {};
+ \node [red place] (s1') [below of=c1',xshift=-5mm]
+ [label=left:$s$] {};
+ \node [red place,tokens=3] (s2') [below of=c1',xshift=5mm]
+ [label=right:$\bar s$] {};
+ \node [place] (c2') [below of=s1',xshift=5mm] {};
+ \node [place,tokens=1] (w2') [below of=c2'] {};
+
+ \node [transition] (e1') [left of=c1'] {}
+ edge [pre,bend left] (w1')
+ edge [post] (s1')
+ edge [pre] (s2')
+ edge [post] (c1');
+ \node [transition] (e2') [left of=c2'] {}
+ edge [pre,bend right] (w2')
+ edge [post] (s1')
+ edge [pre] (s2')
+ edge [post] (c2');
+ \node [transition] (l1') [right of=c1'] {}
+ edge [pre] (c1')
+ edge [pre] (s1')
+ edge [post] (s2')
+ edge [post,bend right] node[swap] {2} (w1');
+ \node [transition] (l2') [right of=c2'] {}
+ edge [pre] (c2')
+ edge [pre] (s1')
+ edge [post] (s2')
+ edge [post,bend left] node {2} (w2');
+ \end{scope}
+\end{codeexample}
+}
+
+The code for the background and the snake is the following:
+
+\begin{codeexample}[code only]
+ \draw [-to,thick,snake=snake,segment amplitude=.4mm,segment length=2mm,line after snake=1mm]
+ ([xshift=5mm]s -| l1) -- ([xshift=-5mm]s1' -| e1')
+ node [above=1mm,midway,text width=3cm,text centered]
+ {replacement of the \textcolor{red}{capacity} by \textcolor{red}{two places}};
+
+ \begin{pgfonlayer}{background}
+ \filldraw [line width=4mm,join=round,black!10]
+ (w1.north -| l1.east) rectangle (w2.south -| e1.west)
+ (w1'.north -| l1'.east) rectangle (w2'.south -| e1'.west);
+ \end{pgfonlayer}
+\end{tikzpicture}
+\end{codeexample}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tutorial.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tutorial.tex
index fb8d072b7ba..2fba592ad7e 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tutorial.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tutorial.tex
@@ -1,3 +1,12 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\section{Tutorial: A Picture for Karl's Students}
This tutorial is intended for new users of \pgfname\ and \tikzname. It
@@ -49,9 +58,9 @@ cosine. What he would like to have is something that looks like this
\colorlet{coscolor}{blue}
% Styles
- \tikzstyle axes=[]
- \tikzstyle important line=[very thick]
- \tikzstyle information text=[rounded corners,fill=red!10,inner sep=1ex]
+ \tikzstyle{axes}=[]
+ \tikzstyle{important line}=[very thick]
+ \tikzstyle{information text}=[rounded corners,fill=red!10,inner sep=1ex]
% The graphic
\draw[style=help lines,step=0.5cm] (-1.4,-1.4) grid (1.4,1.4);
@@ -203,6 +212,31 @@ inputs |tikz.tex| or |pgf.tex|.
+\subsubsection{Setting up the Environment in Con\TeX t}
+
+Karl's uncle Hans uses Con\TeX t. Like Gerda, Hans can also use
+\tikzname. Instead of |\usepackage{tikz}| he says
+|\usemodule[tikz]|. Instead of |\begin{tikzpicture}| he writes
+ |\starttikzpicture| and instead of |\end{tikzpicture}| he writes
+|\stoptikzpicture|.
+
+His version of the example looks like this:
+\begin{codeexample}[code only]
+%% ConTeXt file
+\usemodule[tikz]
+
+\starttext
+ We are working on
+ \starttikzpicture
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \stoptikzpicture.
+\stoptext
+\end{codeexample}
+
+Hans will now typeset this file in the usual way using |texexec|.
+
+
\subsection{Straight Path Construction}
@@ -937,11 +971,12 @@ be drawn ``normally.''
If Karl wishes to set a certain graphic option for the whole picture,
he can simply pass this option to the |\tikz| command or to the
|{tikzpicture}| environment (Gerda would pass the options to
-|\tikzpicture|). However, if Karl wants to apply graphic options to a
-local group, he put these commands inside a |{scope}| environment
-(Gerda uses |\scope| and |\endscope|). This environment takes graphic
-options as an optional argument and these options apply to everything
-inside the scope, but not to anything outside.
+|\tikzpicture| and Hans passes them to |\starttikzpicture|). However,
+if Karl wants to apply graphic options to a local group, he put these
+commands inside a |{scope}| environment (Gerda uses |\scope| and
+|\endscope|, Hans uses |\startscope| and |\stopscope|). This
+environment takes graphic options as an optional argument and these
+options apply to everything inside the scope, but not to anything outside.
Here is an example:
@@ -1354,64 +1389,3 @@ desired effect. So, here is the full code:
\end{tikzpicture}
\end{codeexample}
-
-\subsection{Nodes}
-
-Placing text at a given position is just a special case of a more
-general underlying mechanism. When you say |\draw (0,0) node{text};|,
-what actually happens is that a rectangular node, anchored at its center, is
-put at position $(0,0)$. On top of the rectangular node the text
-|text| is drawn. Since no action is specified for the rectangle (like
-|draw| or |fill|), the rectangle is actually discarded and only the
-text is shown. However, by adding |fill| or |draw|, we can make the
-underlying shape visible. Furthermore, we can \emph{change} the
-shape using for example |shape=circle| or just |circle|. If we include
-the package |pgflibraryshapes| we also get |ellipse|:
-
-
-\begin{codeexample}[]
-\begin{tikzpicture}
- \path (0,0) node[ellipse,fill=examplefill,draw]
- (h1) {hello world}
- (0.5,2) node[circle,shade,ball color=examplefill]
- (h2) {hello world};
- \draw [->,shorten >=2pt] (h1.north) -- (h2.south);
-\end{tikzpicture}
-\end{codeexample}
-
-As the above example shows, we can add the a name to a node by
-putting it in parentheses between |node| and the |{|\meta{text}|}|
-(you can also use the |name=| option). This will make \tikzname\ remember your node and all
-its anchors. You can then refer to these anchors when specifying
-coordinates. The syntax is |(|\meta{node
- name}|.|\meta{anchor}|)|. Currently, and also in the near future,
-\emph{this will not work across pictures since \tikzname\ looses track
- of the positions when it returns control to \TeX.} Magic hackery is
-possible for certain drivers, but a portable implementation seems
-impossible (just think of a possible \textsc{svg} driver).
-
-The option |shorten >| causes lines to be shortened by 2pt at the
-end. Similarly, |shorten <| can be used to shorten (or even lengthen)
-lines at the beginning. This is possible even if no arrow is drawn.
-
-It is not always necessary to specify the anchor. If you do not give
-an anchor, \tikzname\ will try to determine a reasonable border anchor by
-itself (if \tikzname\ fails to find anything useful, it will use the
-center instead). Here is a typical example:
-
-\begin{codeexample}[]
-\begin{tikzpicture}
- \begin{scope}[shape=circle,minimum size=1cm,fill=examplefill]
- \tikzstyle{every node}=[draw,fill]
- \node (q_A) at (0,0) {$q_A$};
- \node (q_E) at (6,0) {$q_E$};
- \node (q_1) at (2,0) {$q_1$};
- \node (q_2) at (4,2) {$q_2$};
- \end{scope}
- \draw (q_A) -- (q_1) -- (q_2) -| (q_E);
- \draw[->,shorten >=2pt] (q_A) .. controls +(75:1.4cm) and +(105:1.4cm) .. node[above] {$x$} (q_A);
-\end{tikzpicture}
-\end{codeexample}
-
-In the example, we used the |\node| command, which is an abbreviation
-for |\path node|.
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-xxcolor.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-xxcolor.tex
index 3e093a58174..dd51284cef0 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-xxcolor.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-xxcolor.tex
@@ -1,8 +1,12 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\section{Extended Color Support}
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-main.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-main.tex
index d2ea9300f71..0b4b89b6dea 100644
--- a/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-main.tex
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-main.tex
@@ -1,8 +1,11 @@
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
% pgf version is defined in \pgfversion in file
% generic/pgf/utilities/pgfrcs.code.tex
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/en/pgfmanual.tex b/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/en/pgfmanual.tex
index 3041815f062..3d7c150d486 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/en/pgfmanual.tex
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/en/pgfmanual.tex
@@ -1,10 +1,13 @@
-\documentclass{ltxdoc}
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\documentclass{ltxdoc}
% pgf version is defined in \pgfversion in file
% generic/pgf/utilities/pgfrcs.code.tex
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/pgfmanual-dvipdfm.cfg b/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/pgfmanual-dvipdfm.cfg
index c200ff058db..a944f48f124 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/pgfmanual-dvipdfm.cfg
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/pgfmanual-dvipdfm.cfg
@@ -1,8 +1,12 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
% Nothing to be done...
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-dvips/en/pgfmanual.tex b/Master/texmf-dist/doc/generic/pgf/version-for-dvips/en/pgfmanual.tex
index 1dce39ba66e..496aefaeb75 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-dvips/en/pgfmanual.tex
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-dvips/en/pgfmanual.tex
@@ -1,10 +1,14 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\documentclass{ltxdoc}
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
% pgf version is defined in \pgfversion in file
% generic/pgf/utilities/pgfrcs.code.tex
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-dvips/pgfmanual-dvips.cfg b/Master/texmf-dist/doc/generic/pgf/version-for-dvips/pgfmanual-dvips.cfg
index de20c4135aa..9051b2b3bfd 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-dvips/pgfmanual-dvips.cfg
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-dvips/pgfmanual-dvips.cfg
@@ -1,8 +1,12 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\usepackage[dvips]{graphics}
\usepackage{hyperref}
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/Makefile b/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/Makefile
index 98958da176a..477c9e37103 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/Makefile
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/Makefile
@@ -1,6 +1,6 @@
rerun = "(There were undefined references|Rerun to get (cross-references|the bars) right)"
doc = pgfmanual
-latex = pdflatex
+latex = pdfelatex
all: $(doc).pdf
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/pgfmanual.pdf b/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/pgfmanual.pdf
index e43a7518a92..7c78d7b0887 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/pgfmanual.pdf
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/pgfmanual.pdf
@@ -1,5554 +1,6536 @@
%PDF-1.4
%ÐÔÅØ
5 0 obj
-<< /S /GoTo /D (part.1) >>
+<< /S /GoTo /D (section.1) >>
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8 0 obj
-(I Getting Started)
+(Introduction)
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-(Structure of the System)
+(Comparison with Other Graphics Packages)
endobj
17 0 obj
-<< /S /GoTo /D (subsection.1.2) >>
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20 0 obj
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+(Getting Help)
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29 0 obj
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/pgfmanual.tex b/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/pgfmanual.tex
index 489a510bf91..1febe3c06a5 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/pgfmanual.tex
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/pgfmanual.tex
@@ -1,10 +1,13 @@
-\documentclass{ltxdoc}
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\documentclass{ltxdoc}
% pgf version is defined in \pgfversion in file
% generic/pgf/utilities/pgfrcs.code.tex
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/pgfmanual-pdftex.cfg b/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/pgfmanual-pdftex.cfg
index 339f4e108de..25c46a965a9 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/pgfmanual-pdftex.cfg
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/pgfmanual-pdftex.cfg
@@ -1,8 +1,11 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\usepackage[pdfborder={0 0 0}]{hyperref}
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deleted file mode 100644
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deleted file mode 100644
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-<tspan font-family="cmmi" font-size="10">x</tspan></text>
-</g>
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- <g>
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- <text style="stroke:none" transform="scale(1,-1) translate(2.6308,0)" text-anchor="middle" font-size="10">
-<tspan font-family="cmmi" font-size="10">y</tspan></text>
-</g>
- </g>
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- <path d=" M -97.30228 -17.14372 h 23.88809 v 13.94373 h -23.88809 Z " style="stroke:none"/>
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- <text style="stroke:none" transform="scale(1,-1) translate(8.61107,0)" text-anchor="middle" font-size="10">
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- <text style="stroke:none" transform="scale(1,-1) translate(9.30412,0)" text-anchor="middle" font-size="10">
- <tspan font-family="cmsy" font-size="10">-</tspan> <img
-src="pgfmanual0x.gif" alt="12" class="frac" align="middle"></text>
-</g>
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- </g>
- </g>
- </g>
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- <g fill="rgb(100.0%,100.0%,100.0%)">
- <g>
- <g fill="rgb(100.0%,100.0%,100.0%)">
- <path d=" M 79.52525 -16.31038 h 11.66595 v 13.11038 h -11.66595 Z " style="stroke:none"/>
- </g>
- </g>
- <g>
- <g transform="matrix(1.0,0.0,0.0,1.0,82.85823,-12.9774)">
- <g fill="rgb(0.0%,0.0%,0.0%)">
- <text style="stroke:none" transform="scale(1,-1) translate(2.5,0)" text-anchor="middle" font-size="10">
-1</text>
-</g>
- </g>
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- <path d=" M 3.0 -85.35823 L -3.0 -85.35823 " style="fill:none"/>
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- <text style="stroke:none" transform="scale(1,-1) translate(8.61107,0)" text-anchor="middle" font-size="10">
- <tspan font-family="cmsy" font-size="10">- </tspan>1</text>
-</g>
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- <text style="stroke:none" transform="scale(1,-1) translate(9.30412,0)" text-anchor="middle" font-size="10">
- <tspan font-family="cmsy" font-size="10">-</tspan> <img
-src="pgfmanual1x.gif" alt="12" class="frac" align="middle"></text>
-</g>
- </g>
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-<img
-src="pgfmanual2x.gif" alt="12" class="frac" align="middle"></text>
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- </g>
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- <path d=" M 16.48993 4.41843 " style="fill:none"/>
- <g>
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- <g>
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- <text style="stroke:none" transform="scale(1,-1) translate(3.21701,0)" text-anchor="middle" font-size="10">
-<tspan font-family="cmmi" font-size="10"><img
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- </g>
- </g>
- <g>
- <g transform="matrix(1.0,0.0,0.0,1.0,46.94452,18.00027)">
- <g fill="rgb(100.0%,0.0%,0.0%)">
- <text style="stroke:none" transform="scale(1,-1) translate(11.02254,0)" text-anchor="middle" font-size="10">
- sin<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan></text>
-</g>
- </g>
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- <g>
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- <g stroke="rgb(0.0%,0.0%,100.0%)">
- <g fill="rgb(0.0%,0.0%,100.0%)">
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- <g>
- <g fill="rgb(100.0%,100.0%,100.0%)">
- <g>
- <g fill="rgb(100.0%,100.0%,100.0%)">
- <path d=" M 22.05019 -13.57149 h 29.82214 v 10.9715 h -29.82214 Z " style="stroke:none"/>
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- <g fill="rgb(0.0%,0.0%,100.0%)">
- <text style="stroke:none" transform="scale(1,-1) translate(11.5781,0)" text-anchor="middle" font-size="10">
- cos <tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan></text>
-</g>
- </g>
- </g>
- </g>
- </g>
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- </g>
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- <g>
- <g stroke-width="1.2pt">
- <g stroke="rgb(80.0003%,39.99939%,0.0%)">
- <g fill="rgb(80.0003%,39.99939%,0.0%)">
- <path d=" M 85.35823 0.0 L 85.37032 49.28746 " style="fill:none"/>
- <g>
- <g fill="rgb(100.0%,100.0%,100.0%)">
- <g>
- <g fill="rgb(100.0%,100.0%,100.0%)">
- <path d=" M 86.96426 11.15915 h 68.1005 v 26.96912 h -68.1005 Z " style="stroke:none"/>
- </g>
- </g>
- <g>
- <g transform="matrix(1.0,0.0,0.0,1.0,90.29724,21.35162)">
- <g fill="rgb(80.0003%,39.99939%,0.0%)">
- <text style="stroke:none" transform="scale(1,-1) translate(30.71727,0)" text-anchor="middle" font-size="10">
- tan <tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> = <img
-src="pgfmanual3x.gif" alt="sin a
-cosa-" class="frac" align="middle"></text>
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- </g>
- </g>
- </g>
- <g>
- </g>
- </g>
- </g>
- </g>
- </g>
- <path d=" M 0.0 0.0 L 85.36116 49.28215 " style="fill:none"/>
- <path d=" " style="fill:none"/>
- <g>
- <g fill="rgb(100.0%,89.99939%,89.99939%)">
- <g>
- <g fill="rgb(100.0%,89.99939%,89.99939%)">
- <path d=" M 333.44092 63.50197 L 162.11331 63.50197 C 159.89334 63.50197 158.11331 61.72194 158.11331 59.50197 L 158.11331 -59.50197 C 158.11331 -61.72194 159.89334 -63.50197 162.11331 -63.50197 L 333.44092 -63.50197 C 335.66089 -63.50197 337.44092 -61.72194 337.44092 -59.50197 L 337.44092 59.50197 C 337.44092 61.72194 335.66089 63.50197 333.44092 63.50197 Z M 158.11331 54.89088 " style="stroke:none"/>
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- <g>
- <g transform="matrix(1.0,0.0,0.0,1.0,162.41885,59.19643)">
- <g fill="rgb(0.0%,0.0%,0.0%)">
- <text style="stroke:none" transform="scale(1,-1) translate(85.35826,0)" text-anchor="middle" font-size="10">
-<!--l. 92--><p class="noindent">The angle <tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> is 30<tspan baseline-shift="sub"><tspan font-family="cmsy" font-size="7"><span class="htf-cmbx">o</span></tspan>
- </tspan> in the example
-(<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</tspan>6 in radians). The sine of <tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan>,
-which is the height of the red line,
-is sin<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> = 1<tspan font-family="cmmi" font-size="10">/</tspan>2<tspan font-family="cmmi" font-size="10">. </tspan>By the Theorem of
-Pythagoras we have cos<tspan baseline-shift="sub"><tspan font-family="cmr" font-size="7">2</tspan></tspan><tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan>+sin<tspan baseline-shift="sub"><tspan font-family="cmr" font-size="7">2</tspan></tspan><tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> = 1.
-Thus the length of the blue line,
-which is the cosine of <tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan>, must be
-cos<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> = <img
-src="pgfmanual4x.gif" alt=" V~ 1---1/4-" class="sqrt" > = <img
-src="pgfmanual5x.gif" alt="1
-2" class="frac" align="middle"><img
-src="pgfmanual6x.gif" alt=" V~ 3" class="sqrt" ><tspan font-family="cmmi" font-size="10">.</tspan>This shows
-that tan<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan>, which is the height of the
-orange line, is tan<tspan font-family="cmmi" font-size="10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></tspan> = <img
-src="pgfmanual7x.gif" alt="sina-
-cosa" class="frac" align="middle"> = 1<tspan font-family="cmmi" font-size="10">/</tspan><img
-src="pgfmanual8x.gif" alt=" V~ 3" class="sqrt" ><tspan font-family="cmmi" font-size="10">.</tspan></text>
-</g>
- </g>
- </g>
- </g>
- </g>
- </g>
- </g>
- </g>
- </g>
- </g>
- </g>
-
- </g>
-</svg>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-50.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-50.svg
deleted file mode 100644
index dc30385ed07..00000000000
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-500.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-500.svg
deleted file mode 100644
index e7b678f4b40..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-500.svg
+++ /dev/null
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-class="cmtt-8">\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;3}=[sibling</span><span
-class="cmtt-8">&nbsp;angle=30]</span>
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[fill]</span>
-<br><span
-class="cmtt-8">\tikzstyle{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent}=[snake=expanding</span><span
-class="cmtt-8">&nbsp;waves,segment</span><span
-class="cmtt-8">&nbsp;length=1mm,segment</span><span
-class="cmtt-8">&nbsp;angle=10,draw]</span>
-<br>
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;[grow</span><span
-class="cmtt-8">&nbsp;cyclic,shape=circle,very</span><span
-class="cmtt-8">&nbsp;thick,level</span><span
-class="cmtt-8">&nbsp;distance=13mm,cap=round]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;[color=\A]</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\A</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{red,green,blue}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;[color=\A!50!\B]</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\B</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{red,green,blue}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;[color=\A!50!\B!50!\C]</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\C</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{black,gray,white}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-<!--l. 87--><p class="indent"> F&uuml;r meinen Vater, damit er noch viele sch&ouml;ne <span class="TEX">T<span
-class="E">E</span>X</span>-Graphiken erschaffen kann.
-
-
-<!--l. 100--><p class="indent">
-
-
-<!--l. 100--><p class="indent">
-
-
-<div class="center"
->
-<!--l. 100--><p class="noindent">
-<span
-class="cmr-17">The Ti</span><span
-class="cmti-12x-x-144">k</span><span
-class="cmr-17">Z</span><span
-class="cmr-17">&nbsp;and </span><span
-class="cmcsc-10x-x-172"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span><span
-class="cmr-17">&nbsp;Packages</span><br>
-<span
-class="cmr-17">Manual for Version 1.01</span><br>
-<span
-class="cmtt-12">http://sourceforge.net/projects/pgf</span>
-<div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-2-" ><colgroup id="TBL-2-1g"><col
-id="TBL-2-1"></colgroup><tr
- valign="baseline" id="TBL-2-1-"><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-2-1-1"
-class="td11"> <span
-class="cmr-12">Till Tantau </span></td>
-</tr><tr
- valign="baseline" id="TBL-2-2-"><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-2-2-1"
-class="td11"> <span
-class="cmtt-12">mailto:tantau@users.sourceforge.net </span></td>
-</tr></table>
-</div>
-<!--l. 100--><p class="noindent"><span
-class="cmr-12">November 15, 2005</span></div>
- <h3 class="likesectionHead"><a
- id="x1-1000"></a>Contents</h3>
- <div class="tableofcontents">
- <span class="partToc">I&nbsp;&nbsp;<a
-href="#x1-2000I" id="QQ2-1-2">Getting Started</a></span>
-<br> <span class="sectionToc">1 <a
-href="pgfmanualse1.html#x2-30001" id="QQ2-2-3">Introduction</a></span>
-<br> &nbsp;<span class="subsectionToc">1.1 <a
-href="pgfmanualse1.html#x2-40001.1" id="QQ2-2-4">Structure of the System</a></span>
-<br> &nbsp;<span class="subsectionToc">1.2 <a
-href="pgfmanualse1.html#x2-50001.2" id="QQ2-2-5">Comparison with Other Graphics Packages</a></span>
-<br> &nbsp;<span class="subsectionToc">1.3 <a
-href="pgfmanualse1.html#x2-60001.3" id="QQ2-2-6">Utilities: Page Management</a></span>
-<br> &nbsp;<span class="subsectionToc">1.4 <a
-href="pgfmanualse1.html#x2-70001.4" id="QQ2-2-7">How to Read This Manual</a></span>
-<br> &nbsp;<span class="subsectionToc">1.5 <a
-href="pgfmanualse1.html#x2-80001.5" id="QQ2-2-8">Getting Help</a></span>
-<br> <span class="sectionToc">2 <a
-href="pgfmanualse2.html#x3-90002" id="QQ2-3-9">Installation</a></span>
-<br> &nbsp;<span class="subsectionToc">2.1 <a
-href="pgfmanualse2.html#x3-100002.1" id="QQ2-3-10">Package and Driver Versions</a></span>
-<br> &nbsp;<span class="subsectionToc">2.2 <a
-href="pgfmanualse2.html#x3-110002.2" id="QQ2-3-11">Installing Prebundled Packages</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.2.1 <a
-href="pgfmanualse2.html#x3-120002.2.1" id="QQ2-3-12">Debian</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.2.2 <a
-href="pgfmanualse2.html#x3-130002.2.2" id="QQ2-3-13">MiKTeX</a></span>
-<br> &nbsp;<span class="subsectionToc">2.3 <a
-href="pgfmanualse2.html#x3-140002.3" id="QQ2-3-14">Installation in a texmf Tree</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.3.1 <a
-href="pgfmanualse2.html#x3-150002.3.1" id="QQ2-3-15">Installation that Keeps Everything Together</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.3.2 <a
-href="pgfmanualse2.html#x3-160002.3.2" id="QQ2-3-16">Installation that is TDS-Compliant</a></span>
-<br> &nbsp;<span class="subsectionToc">2.4 <a
-href="pgfmanualse2.html#x3-170002.4" id="QQ2-3-17">Updating the Installation</a></span>
-<br> &nbsp;<span class="subsectionToc">2.5 <a
-href="pgfmanualse2.html#x3-180002.5" id="QQ2-3-18">License: The GNU Public License, Version 2</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.5.1 <a
-href="pgfmanualse2.html#x3-190002.5.1" id="QQ2-3-19">Preamble</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.5.2 <a
-href="pgfmanualse2.html#x3-200002.5.2" id="QQ2-3-20">Terms and Conditions For Copying, Distribution and Modification</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">2.5.3 <a
-href="pgfmanualse2.html#x3-210002.5.3" id="QQ2-3-21">No Warranty</a></span>
-<br> <span class="sectionToc">3 <a
-href="pgfmanualse3.html#x4-220003" id="QQ2-4-22">Tutorial: A Picture for Karl&#8217;s Students</a></span>
-<br> &nbsp;<span class="subsectionToc">3.1 <a
-href="pgfmanualse3.html#x4-230003.1" id="QQ2-4-23">Problem Statement</a></span>
-<br> &nbsp;<span class="subsectionToc">3.2 <a
-href="pgfmanualse3.html#x4-240003.2" id="QQ2-4-24">Setting up the Environment</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">3.2.1 <a
-href="pgfmanualse3.html#x4-250003.2.1" id="QQ2-4-25">Setting up the Environment in <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span></a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">3.2.2 <a
-href="pgfmanualse3.html#x4-260003.2.2" id="QQ2-4-26">Setting up the Environment in Plain TEX</a></span>
-<br> &nbsp;<span class="subsectionToc">3.3 <a
-href="pgfmanualse3.html#x4-270003.3" id="QQ2-4-27">Straight Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.4 <a
-href="pgfmanualse3.html#x4-280003.4" id="QQ2-4-28">Curved Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.5 <a
-href="pgfmanualse3.html#x4-290003.5" id="QQ2-4-29">Circle Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.6 <a
-href="pgfmanualse3.html#x4-300003.6" id="QQ2-4-30">Rectangle Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.7 <a
-href="pgfmanualse3.html#x4-310003.7" id="QQ2-4-31">Grid Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.8 <a
-href="pgfmanualse3.html#x4-320003.8" id="QQ2-4-32">Adding a Touch of Style</a></span>
-<br> &nbsp;<span class="subsectionToc">3.9 <a
-href="pgfmanualse3.html#x4-330003.9" id="QQ2-4-33">Drawing Options</a></span>
-<br> &nbsp;<span class="subsectionToc">3.10 <a
-href="pgfmanualse3.html#x4-340003.10" id="QQ2-4-34">Arc Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.11 <a
-href="pgfmanualse3.html#x4-350003.11" id="QQ2-4-35">Clipping a Path</a></span>
-<br> &nbsp;<span class="subsectionToc">3.12 <a
-href="pgfmanualse3.html#x4-360003.12" id="QQ2-4-36">Parabola and Sine Path Construction</a></span>
-<br> &nbsp;<span class="subsectionToc">3.13 <a
-href="pgfmanualse3.html#x4-370003.13" id="QQ2-4-37">Filling and Drawing</a></span>
-
-
-<br> &nbsp;<span class="subsectionToc">3.14 <a
-href="pgfmanualse3.html#x4-380003.14" id="QQ2-4-38">Shading</a></span>
-<br> &nbsp;<span class="subsectionToc">3.15 <a
-href="pgfmanualse3.html#x4-390003.15" id="QQ2-4-39">Specifying Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">3.16 <a
-href="pgfmanualse3.html#x4-400003.16" id="QQ2-4-40">Adding Arrow Tips</a></span>
-<br> &nbsp;<span class="subsectionToc">3.17 <a
-href="pgfmanualse3.html#x4-410003.17" id="QQ2-4-41">Scoping</a></span>
-<br> &nbsp;<span class="subsectionToc">3.18 <a
-href="pgfmanualse3.html#x4-420003.18" id="QQ2-4-42">Transformations</a></span>
-<br> &nbsp;<span class="subsectionToc">3.19 <a
-href="pgfmanualse3.html#x4-430003.19" id="QQ2-4-43">Repeating Things: For-Loops</a></span>
-<br> &nbsp;<span class="subsectionToc">3.20 <a
-href="pgfmanualse3.html#x4-440003.20" id="QQ2-4-44">Adding Text</a></span>
-<br> &nbsp;<span class="subsectionToc">3.21 <a
-href="pgfmanualse3.html#x4-450003.21" id="QQ2-4-45">Nodes</a></span>
-<br> <span class="sectionToc">4 <a
-href="pgfmanualse4.html#x5-460004" id="QQ2-5-46">Guidelines on Graphics</a></span>
-<br> &nbsp;<span class="subsectionToc">4.1 <a
-href="pgfmanualse4.html#x5-470004.1" id="QQ2-5-47">Should You Follow Guidelines?</a></span>
-<br> &nbsp;<span class="subsectionToc">4.2 <a
-href="pgfmanualse4.html#x5-480004.2" id="QQ2-5-48">Planning the Time Needed for the Creation of Graphics</a></span>
-<br> &nbsp;<span class="subsectionToc">4.3 <a
-href="pgfmanualse4.html#x5-490004.3" id="QQ2-5-49">Workflow for Creating a Graphic</a></span>
-<br> &nbsp;<span class="subsectionToc">4.4 <a
-href="pgfmanualse4.html#x5-500004.4" id="QQ2-5-50">Linking Graphics With the Main Text</a></span>
-<br> &nbsp;<span class="subsectionToc">4.5 <a
-href="pgfmanualse4.html#x5-510004.5" id="QQ2-5-51">Consistency Between Graphics and Text</a></span>
-<br> &nbsp;<span class="subsectionToc">4.6 <a
-href="pgfmanualse4.html#x5-520004.6" id="QQ2-5-52">Labels in Graphics</a></span>
-<br> &nbsp;<span class="subsectionToc">4.7 <a
-href="pgfmanualse4.html#x5-530004.7" id="QQ2-5-53">Plots and Charts</a></span>
-<br> &nbsp;<span class="subsectionToc">4.8 <a
-href="pgfmanualse4.html#x5-540004.8" id="QQ2-5-54">Attention and Distraction</a></span>
-<br> <span class="sectionToc">5 <a
-href="pgfmanualse5.html#x6-550005" id="QQ2-6-55">Input and Output Formats</a></span>
-<br> &nbsp;<span class="subsectionToc">5.1 <a
-href="pgfmanualse5.html#x6-560005.1" id="QQ2-6-56">Supported Input Formats</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.1.1 <a
-href="pgfmanualse5.html#x6-570005.1.1" id="QQ2-6-57">Using the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>Format</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.1.2 <a
-href="pgfmanualse5.html#x6-580005.1.2" id="QQ2-6-58">Using the Plain TEX Format</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.1.3 <a
-href="pgfmanualse5.html#x6-590005.1.3" id="QQ2-6-59">Using the ConTEXt Format</a></span>
-<br> &nbsp;<span class="subsectionToc">5.2 <a
-href="pgfmanualse5.html#x6-600005.2" id="QQ2-6-60">Supported Output Formats</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.2.1 <a
-href="pgfmanualse5.html#x6-610005.2.1" id="QQ2-6-61">Selecting the Backend Driver</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.2.2 <a
-href="pgfmanualse5.html#x6-620005.2.2" id="QQ2-6-62">Producing PDF Output</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.2.3 <a
-href="pgfmanualse5.html#x6-630005.2.3" id="QQ2-6-63">Producing PostScript Output</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">5.2.4 <a
-href="pgfmanualse5.html#x6-640005.2.4" id="QQ2-6-64">Producing HTML / SVG Output</a></span>
-<br> <span class="partToc">II&nbsp;&nbsp;<a
-href="#x1-65000II" id="QQ2-1-65">Ti<span
-class="cmti-10">k</span>Z ist <span
-class="cmti-10">kein </span>Zeichenprogramm</a></span>
-<br> <span class="sectionToc">6 <a
-href="pgfmanualse6.html#x7-660006" id="QQ2-7-66">Design Principles</a></span>
-<br> &nbsp;<span class="subsectionToc">6.1 <a
-href="pgfmanualse6.html#x7-670006.1" id="QQ2-7-67">Special Syntax For Specifying Points</a></span>
-<br> &nbsp;<span class="subsectionToc">6.2 <a
-href="pgfmanualse6.html#x7-680006.2" id="QQ2-7-68">Special Syntax For Path Specifications</a></span>
-<br> &nbsp;<span class="subsectionToc">6.3 <a
-href="pgfmanualse6.html#x7-690006.3" id="QQ2-7-69">Actions on Paths</a></span>
-<br> &nbsp;<span class="subsectionToc">6.4 <a
-href="pgfmanualse6.html#x7-700006.4" id="QQ2-7-70">Key-Value Syntax for Graphic Parameters</a></span>
-<br> &nbsp;<span class="subsectionToc">6.5 <a
-href="pgfmanualse6.html#x7-710006.5" id="QQ2-7-71">Special Syntax for Specifying Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">6.6 <a
-href="pgfmanualse6.html#x7-720006.6" id="QQ2-7-72">Special Syntax for Specifying Trees</a></span>
-<br> &nbsp;<span class="subsectionToc">6.7 <a
-href="pgfmanualse6.html#x7-730006.7" id="QQ2-7-73">Grouping of Graphic Parameters</a></span>
-<br> &nbsp;<span class="subsectionToc">6.8 <a
-href="pgfmanualse6.html#x7-740006.8" id="QQ2-7-74">Coordinate Transformation System</a></span>
-<br> <span class="sectionToc">7 <a
-href="pgfmanualse7.html#x8-750007" id="QQ2-8-75">Hierarchical Structures: Package, Environments, Scopes, and Styles</a></span>
-<br> &nbsp;<span class="subsectionToc">7.1 <a
-href="pgfmanualse7.html#x8-760007.1" id="QQ2-8-76">Loading the Package</a></span>
-<br> &nbsp;<span class="subsectionToc">7.2 <a
-href="pgfmanualse7.html#x8-770007.2" id="QQ2-8-77">Creating a Picture</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">7.2.1 <a
-href="pgfmanualse7.html#x8-780007.2.1" id="QQ2-8-78">Creating a Picture Using an Environment</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">7.2.2 <a
-href="pgfmanualse7.html#x8-790007.2.2" id="QQ2-8-79">Creating a Picture Using a Command</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">7.2.3 <a
-href="pgfmanualse7.html#x8-800007.2.3" id="QQ2-8-80">Adding a Background</a></span>
-<br> &nbsp;<span class="subsectionToc">7.3 <a
-href="pgfmanualse7.html#x8-810007.3" id="QQ2-8-81">Using Scopes to Structure a Picture</a></span>
-<br> &nbsp;<span class="subsectionToc">7.4 <a
-href="pgfmanualse7.html#x8-820007.4" id="QQ2-8-82">Using Scopes Inside Paths</a></span>
-<br> &nbsp;<span class="subsectionToc">7.5 <a
-href="pgfmanualse7.html#x8-830007.5" id="QQ2-8-83">Using Styles to Manage How Pictures Look</a></span>
-<br> <span class="sectionToc">8 <a
-href="pgfmanualse8.html#x9-840008" id="QQ2-9-84">Specifying Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">8.1 <a
-href="pgfmanualse8.html#x9-850008.1" id="QQ2-9-85">Coordinates and Coordinate Options</a></span>
-<br> &nbsp;<span class="subsectionToc">8.2 <a
-href="pgfmanualse8.html#x9-860008.2" id="QQ2-9-86">Simple Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">8.3 <a
-href="pgfmanualse8.html#x9-870008.3" id="QQ2-9-87">Polar Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">8.4 <a
-href="pgfmanualse8.html#x9-880008.4" id="QQ2-9-88">Xy- and Xyz-Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">8.5 <a
-href="pgfmanualse8.html#x9-890008.5" id="QQ2-9-89">Node Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">8.5.1 <a
-href="pgfmanualse8.html#x9-900008.5.1" id="QQ2-9-90">Named Anchor Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">8.5.2 <a
-href="pgfmanualse8.html#x9-910008.5.2" id="QQ2-9-91">Angle Anchor Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">8.5.3 <a
-href="pgfmanualse8.html#x9-920008.5.3" id="QQ2-9-92">Anchor-Free Node Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">8.6 <a
-href="pgfmanualse8.html#x9-930008.6" id="QQ2-9-93">Intersection Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">8.6.1 <a
-href="pgfmanualse8.html#x9-940008.6.1" id="QQ2-9-94">Intersection of Two Lines</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">8.6.2 <a
-href="pgfmanualse8.html#x9-950008.6.2" id="QQ2-9-95">Intersection of Horizontal and Vertical Lines</a></span>
-
-
-<br> &nbsp;<span class="subsectionToc">8.7 <a
-href="pgfmanualse8.html#x9-960008.7" id="QQ2-9-96">Relative and Incremental Coordinates</a></span>
-<br> <span class="sectionToc">9 <a
-href="pgfmanualse9.html#x10-970009" id="QQ2-10-97">Syntax for Path Specifications</a></span>
-<br> &nbsp;<span class="subsectionToc">9.1 <a
-href="pgfmanualse9.html#x10-980009.1" id="QQ2-10-98">The Move-To Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.2 <a
-href="pgfmanualse9.html#x10-990009.2" id="QQ2-10-99">The Line-To Operation</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.2.1 <a
-href="pgfmanualse9.html#x10-1000009.2.1" id="QQ2-10-100">Straight Lines</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.2.2 <a
-href="pgfmanualse9.html#x10-1010009.2.2" id="QQ2-10-101">Horizontal and Vertical Lines</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.2.3 <a
-href="pgfmanualse9.html#x10-1020009.2.3" id="QQ2-10-102">Snaked Lines</a></span>
-<br> &nbsp;<span class="subsectionToc">9.3 <a
-href="pgfmanualse9.html#x10-1030009.3" id="QQ2-10-103">The Curve-To Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.4 <a
-href="pgfmanualse9.html#x10-1040009.4" id="QQ2-10-104">The Cycle Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.5 <a
-href="pgfmanualse9.html#x10-1050009.5" id="QQ2-10-105">The Rectangle Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.6 <a
-href="pgfmanualse9.html#x10-1060009.6" id="QQ2-10-106">Rounding Corners</a></span>
-<br> &nbsp;<span class="subsectionToc">9.7 <a
-href="pgfmanualse9.html#x10-1070009.7" id="QQ2-10-107">The Circle and Ellipse Operations</a></span>
-<br> &nbsp;<span class="subsectionToc">9.8 <a
-href="pgfmanualse9.html#x10-1080009.8" id="QQ2-10-108">The Arc Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.9 <a
-href="pgfmanualse9.html#x10-1090009.9" id="QQ2-10-109">The Grid Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.10 <a
-href="pgfmanualse9.html#x10-1100009.10" id="QQ2-10-110">The Parabola Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.11 <a
-href="pgfmanualse9.html#x10-1110009.11" id="QQ2-10-111">The Sine and Cosine Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.12 <a
-href="pgfmanualse9.html#x10-1120009.12" id="QQ2-10-112">The Plot Operation</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.12.1 <a
-href="pgfmanualse9.html#x10-1130009.12.1" id="QQ2-10-113">Plotting Points Given Inline</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.12.2 <a
-href="pgfmanualse9.html#x10-1140009.12.2" id="QQ2-10-114">Plotting Points Read From an External File</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.12.3 <a
-href="pgfmanualse9.html#x10-1150009.12.3" id="QQ2-10-115">Plotting a Function</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.12.4 <a
-href="pgfmanualse9.html#x10-1160009.12.4" id="QQ2-10-116">Placing Marks on the Plot</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">9.12.5 <a
-href="pgfmanualse9.html#x10-1170009.12.5" id="QQ2-10-117">Smooth Plots, Sharp Plots, and Comb Plots</a></span>
-<br> &nbsp;<span class="subsectionToc">9.13 <a
-href="pgfmanualse9.html#x10-1180009.13" id="QQ2-10-118">The Scoping Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">9.14 <a
-href="pgfmanualse9.html#x10-1190009.14" id="QQ2-10-119">The Node Operation</a></span>
-<br> <span class="sectionToc">10 <a
-href="pgfmanualse10.html#x11-12000010" id="QQ2-11-120">Actions on Paths</a></span>
-<br> &nbsp;<span class="subsectionToc">10.1 <a
-href="pgfmanualse10.html#x11-12100010.1" id="QQ2-11-121">Specifying a Color</a></span>
-<br> &nbsp;<span class="subsectionToc">10.2 <a
-href="pgfmanualse10.html#x11-12200010.2" id="QQ2-11-122">Drawing a Path</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.2.1 <a
-href="pgfmanualse10.html#x11-12300010.2.1" id="QQ2-11-123">Graphic Parameters: Line Width, Line Cap, and Line Join</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.2.2 <a
-href="pgfmanualse10.html#x11-12400010.2.2" id="QQ2-11-124">Graphic Parameters: Dash Pattern</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.2.3 <a
-href="pgfmanualse10.html#x11-12500010.2.3" id="QQ2-11-125">Graphic Parameters: Draw Opacity</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.2.4 <a
-href="pgfmanualse10.html#x11-12600010.2.4" id="QQ2-11-126">Graphic Parameters: Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.2.5 <a
-href="pgfmanualse10.html#x11-12700010.2.5" id="QQ2-11-127">Graphic Parameters: Double Lines and Bordered Lines</a></span>
-<br> &nbsp;<span class="subsectionToc">10.3 <a
-href="pgfmanualse10.html#x11-12800010.3" id="QQ2-11-128">Filling a Path</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.3.1 <a
-href="pgfmanualse10.html#x11-12900010.3.1" id="QQ2-11-129">Graphic Parameters: Interior Rules</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.3.2 <a
-href="pgfmanualse10.html#x11-13000010.3.2" id="QQ2-11-130">Graphic Parameters: Fill Opacity</a></span>
-<br> &nbsp;<span class="subsectionToc">10.4 <a
-href="pgfmanualse10.html#x11-13100010.4" id="QQ2-11-131">Shading a Path</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.4.1 <a
-href="pgfmanualse10.html#x11-13200010.4.1" id="QQ2-11-132">Choosing a Shading Type</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">10.4.2 <a
-href="pgfmanualse10.html#x11-13300010.4.2" id="QQ2-11-133">Choosing a Shading Color</a></span>
-<br> &nbsp;<span class="subsectionToc">10.5 <a
-href="pgfmanualse10.html#x11-13400010.5" id="QQ2-11-134">Establishing a Bounding Box</a></span>
-<br> &nbsp;<span class="subsectionToc">10.6 <a
-href="pgfmanualse10.html#x11-13500010.6" id="QQ2-11-135">Using a Path For Clipping</a></span>
-<br> <span class="sectionToc">11 <a
-href="pgfmanualse11.html#x12-13600011" id="QQ2-12-136">Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">11.1 <a
-href="pgfmanualse11.html#x12-13700011.1" id="QQ2-12-137">Nodes and Their Shapes</a></span>
-<br> &nbsp;<span class="subsectionToc">11.2 <a
-href="pgfmanualse11.html#x12-13800011.2" id="QQ2-12-138">Multi-Part Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">11.3 <a
-href="pgfmanualse11.html#x12-13900011.3" id="QQ2-12-139">Options for the Text in Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">11.4 <a
-href="pgfmanualse11.html#x12-14000011.4" id="QQ2-12-140">Placing Nodes Using Anchors</a></span>
-<br> &nbsp;<span class="subsectionToc">11.5 <a
-href="pgfmanualse11.html#x12-14100011.5" id="QQ2-12-141">Transformations</a></span>
-<br> &nbsp;<span class="subsectionToc">11.6 <a
-href="pgfmanualse11.html#x12-14200011.6" id="QQ2-12-142">Placing Nodes on a Line or Curve</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">11.6.1 <a
-href="pgfmanualse11.html#x12-14300011.6.1" id="QQ2-12-143">Explicit Use of the Position Option</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">11.6.2 <a
-href="pgfmanualse11.html#x12-14400011.6.2" id="QQ2-12-144">Implicit Use of the Position Option</a></span>
-<br> &nbsp;<span class="subsectionToc">11.7 <a
-href="pgfmanualse11.html#x12-14500011.7" id="QQ2-12-145">Connecting Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">11.8 <a
-href="pgfmanualse11.html#x12-14600011.8" id="QQ2-12-146">Predefined Shapes</a></span>
-<br> <span class="sectionToc">12 <a
-href="pgfmanualse12.html#x13-14700012" id="QQ2-13-147">Making Trees Grow</a></span>
-<br> &nbsp;<span class="subsectionToc">12.1 <a
-href="pgfmanualse12.html#x13-14800012.1" id="QQ2-13-148">Introduction to the Child Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">12.2 <a
-href="pgfmanualse12.html#x13-14900012.2" id="QQ2-13-149">Child Paths and the Child Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">12.3 <a
-href="pgfmanualse12.html#x13-15000012.3" id="QQ2-13-150">Naming Child Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">12.4 <a
-href="pgfmanualse12.html#x13-15100012.4" id="QQ2-13-151">Specifying Options for Trees and Children</a></span>
-<br> &nbsp;<span class="subsectionToc">12.5 <a
-href="pgfmanualse12.html#x13-15200012.5" id="QQ2-13-152">Placing Child Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">12.6 <a
-href="pgfmanualse12.html#x13-15300012.6" id="QQ2-13-153">Edges From the Parent Node</a></span>
-
-
-<br> <span class="sectionToc">13 <a
-href="pgfmanualse13.html#x14-15400013" id="QQ2-14-154">Transformations</a></span>
-<br> &nbsp;<span class="subsectionToc">13.1 <a
-href="pgfmanualse13.html#x14-15500013.1" id="QQ2-14-155">The Different Coordinate Systems</a></span>
-<br> &nbsp;<span class="subsectionToc">13.2 <a
-href="pgfmanualse13.html#x14-15600013.2" id="QQ2-14-156">The Xy- and Xyz-Coordinate Systems</a></span>
-<br> &nbsp;<span class="subsectionToc">13.3 <a
-href="pgfmanualse13.html#x14-15700013.3" id="QQ2-14-157">Coordinate Transformations</a></span>
-<br> <span class="partToc">III&nbsp;&nbsp;<a
-href="#x1-158000III" id="QQ2-1-158">Libraries and Utilities</a></span>
-<br> <span class="sectionToc">14 <a
-href="pgfmanualse14.html#x15-15900014" id="QQ2-15-159">Libraries</a></span>
-<br> &nbsp;<span class="subsectionToc">14.1 <a
-href="pgfmanualse14.html#x15-16000014.1" id="QQ2-15-160">Arrow Tip Library</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.1 <a
-href="pgfmanualse14.html#x15-16100014.1.1" id="QQ2-15-161">Triangular Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.2 <a
-href="pgfmanualse14.html#x15-16200014.1.2" id="QQ2-15-162">Barbed Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.3 <a
-href="pgfmanualse14.html#x15-16300014.1.3" id="QQ2-15-163">Bracket-Like Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.4 <a
-href="pgfmanualse14.html#x15-16400014.1.4" id="QQ2-15-164">Circle and Diamond Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.5 <a
-href="pgfmanualse14.html#x15-16500014.1.5" id="QQ2-15-165">Partial Arrow Tips</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.1.6 <a
-href="pgfmanualse14.html#x15-16600014.1.6" id="QQ2-15-166">Line Caps</a></span>
-<br> &nbsp;<span class="subsectionToc">14.2 <a
-href="pgfmanualse14.html#x15-16700014.2" id="QQ2-15-167">Snake Library</a></span>
-<br> &nbsp;<span class="subsectionToc">14.3 <a
-href="pgfmanualse14.html#x15-16800014.3" id="QQ2-15-168">Plot Handler Library</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.3.1 <a
-href="pgfmanualse14.html#x15-16900014.3.1" id="QQ2-15-169">Curve Plot Handlers</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.3.2 <a
-href="pgfmanualse14.html#x15-17000014.3.2" id="QQ2-15-170">Comb Plot Handlers</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.3.3 <a
-href="pgfmanualse14.html#x15-17100014.3.3" id="QQ2-15-171">Mark Plot Handler</a></span>
-<br> &nbsp;<span class="subsectionToc">14.4 <a
-href="pgfmanualse14.html#x15-17200014.4" id="QQ2-15-172">Plot Mark Library</a></span>
-<br> &nbsp;<span class="subsectionToc">14.5 <a
-href="pgfmanualse14.html#x15-17300014.5" id="QQ2-15-173">Shape Library</a></span>
-<br> &nbsp;<span class="subsectionToc">14.6 <a
-href="pgfmanualse14.html#x15-17400014.6" id="QQ2-15-174">Tree Library</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.6.1 <a
-href="pgfmanualse14.html#x15-17500014.6.1" id="QQ2-15-175">Growth Functions</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">14.6.2 <a
-href="pgfmanualse14.html#x15-17600014.6.2" id="QQ2-15-176">Edges From Parent</a></span>
-<br> &nbsp;<span class="subsectionToc">14.7 <a
-href="pgfmanualse14.html#x15-17700014.7" id="QQ2-15-177">Background Library</a></span>
-<br> &nbsp;<span class="subsectionToc">14.8 <a
-href="pgfmanualse14.html#x15-17800014.8" id="QQ2-15-178">Automata Drawing Library</a></span>
-<br> <span class="sectionToc">15 <a
-href="pgfmanualse15.html#x16-17900015" id="QQ2-16-179">Repeating Things: The Foreach Statement</a></span>
-<br> <span class="sectionToc">16 <a
-href="pgfmanualse16.html#x17-18000016" id="QQ2-17-180">Page Management</a></span>
-<br> &nbsp;<span class="subsectionToc">16.1 <a
-href="pgfmanualse16.html#x17-18100016.1" id="QQ2-17-181">Basic Usage</a></span>
-<br> &nbsp;<span class="subsectionToc">16.2 <a
-href="pgfmanualse16.html#x17-18200016.2" id="QQ2-17-182">The Predefined Layouts</a></span>
-<br> &nbsp;<span class="subsectionToc">16.3 <a
-href="pgfmanualse16.html#x17-18300016.3" id="QQ2-17-183">Defining a Layout</a></span>
-<br> &nbsp;<span class="subsectionToc">16.4 <a
-href="pgfmanualse16.html#x17-18400016.4" id="QQ2-17-184">Creating Logical Pages</a></span>
-<br> <span class="sectionToc">17 <a
-href="pgfmanualse17.html#x18-18500017" id="QQ2-18-185">Extended Color Support</a></span>
-<br> <span class="partToc">IV&nbsp;&nbsp;<a
-href="#x1-186000IV" id="QQ2-1-186">The Basic Layer</a></span>
-<br> <span class="sectionToc">18 <a
-href="pgfmanualse18.html#x19-18700018" id="QQ2-19-187">Design Principles</a></span>
-<br> &nbsp;<span class="subsectionToc">18.1 <a
-href="pgfmanualse18.html#x19-18800018.1" id="QQ2-19-188">Core and Optional Packages</a></span>
-<br> &nbsp;<span class="subsectionToc">18.2 <a
-href="pgfmanualse18.html#x19-18900018.2" id="QQ2-19-189">Communicating with the Basic Layer via Macros</a></span>
-<br> &nbsp;<span class="subsectionToc">18.3 <a
-href="pgfmanualse18.html#x19-19000018.3" id="QQ2-19-190">Path-Centered Approach</a></span>
-<br> &nbsp;<span class="subsectionToc">18.4 <a
-href="pgfmanualse18.html#x19-19100018.4" id="QQ2-19-191">Coordinate Versus Canvas Transformations</a></span>
-<br> <span class="sectionToc">19 <a
-href="pgfmanualse19.html#x20-19200019" id="QQ2-20-192">Hierarchical Structures: Package, Environments, Scopes, and Text</a></span>
-<br> &nbsp;<span class="subsectionToc">19.1 <a
-href="pgfmanualse19.html#x20-19300019.1" id="QQ2-20-193">Overview</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.1.1 <a
-href="pgfmanualse19.html#x20-19400019.1.1" id="QQ2-20-194">The Hierarchical Structure of the Package</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.1.2 <a
-href="pgfmanualse19.html#x20-19500019.1.2" id="QQ2-20-195">The Hierarchical Structure of Graphics</a></span>
-<br> &nbsp;<span class="subsectionToc">19.2 <a
-href="pgfmanualse19.html#x20-19600019.2" id="QQ2-20-196">The Hierarchical Structure of the Package</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.2.1 <a
-href="pgfmanualse19.html#x20-19700019.2.1" id="QQ2-20-197">The Main Package</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.2.2 <a
-href="pgfmanualse19.html#x20-19800019.2.2" id="QQ2-20-198">The Core Package</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.2.3 <a
-href="pgfmanualse19.html#x20-19900019.2.3" id="QQ2-20-199">The Optional Basic Layer Packages</a></span>
-<br> &nbsp;<span class="subsectionToc">19.3 <a
-href="pgfmanualse19.html#x20-20000019.3" id="QQ2-20-200">The Hierarchical Structure of the Graphics</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.3.1 <a
-href="pgfmanualse19.html#x20-20100019.3.1" id="QQ2-20-201">The Main Environment</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.3.2 <a
-href="pgfmanualse19.html#x20-20200019.3.2" id="QQ2-20-202">Graphic Scope Environments</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">19.3.3 <a
-href="pgfmanualse19.html#x20-20300019.3.3" id="QQ2-20-203">Inserting Text and Images</a></span>
-<br> <span class="sectionToc">20 <a
-href="pgfmanualse20.html#x21-20400020" id="QQ2-21-204">Specifying Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">20.1 <a
-href="pgfmanualse20.html#x21-20500020.1" id="QQ2-21-205">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">20.2 <a
-href="pgfmanualse20.html#x21-20600020.2" id="QQ2-21-206">Basic Coordinate Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">20.3 <a
-href="pgfmanualse20.html#x21-20700020.3" id="QQ2-21-207">Coordinates in the Xy- and Xyz-Coordinate Systems</a></span>
-<br> &nbsp;<span class="subsectionToc">20.4 <a
-href="pgfmanualse20.html#x21-20800020.4" id="QQ2-21-208">Building Coordinates From Other Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">20.4.1 <a
-href="pgfmanualse20.html#x21-20900020.4.1" id="QQ2-21-209">Basic Manipulations of Coordinates</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">20.4.2 <a
-href="pgfmanualse20.html#x21-21000020.4.2" id="QQ2-21-210">Points Traveling along Lines and Curves</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">20.4.3 <a
-href="pgfmanualse20.html#x21-21100020.4.3" id="QQ2-21-211">Points on Borders of Objects</a></span>
-
-
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">20.4.4 <a
-href="pgfmanualse20.html#x21-21200020.4.4" id="QQ2-21-212">Points on the Intersection of Lines</a></span>
-<br> &nbsp;<span class="subsectionToc">20.5 <a
-href="pgfmanualse20.html#x21-21300020.5" id="QQ2-21-213">Extracting Coordinates</a></span>
-<br> &nbsp;<span class="subsectionToc">20.6 <a
-href="pgfmanualse20.html#x21-21400020.6" id="QQ2-21-214">Internals of How Point Commands Work</a></span>
-<br> <span class="sectionToc">21 <a
-href="pgfmanualse21.html#x22-21500021" id="QQ2-22-215">Constructing Paths</a></span>
-<br> &nbsp;<span class="subsectionToc">21.1 <a
-href="pgfmanualse21.html#x22-21600021.1" id="QQ2-22-216">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">21.2 <a
-href="pgfmanualse21.html#x22-21700021.2" id="QQ2-22-217">The Move-To Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.3 <a
-href="pgfmanualse21.html#x22-21800021.3" id="QQ2-22-218">The Line-To Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.4 <a
-href="pgfmanualse21.html#x22-21900021.4" id="QQ2-22-219">The Curve-To Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.5 <a
-href="pgfmanualse21.html#x22-22000021.5" id="QQ2-22-220">The Close Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.6 <a
-href="pgfmanualse21.html#x22-22100021.6" id="QQ2-22-221">Arc, Ellipse and Circle Path Operations</a></span>
-<br> &nbsp;<span class="subsectionToc">21.7 <a
-href="pgfmanualse21.html#x22-22200021.7" id="QQ2-22-222">Rectangle Path Operations</a></span>
-<br> &nbsp;<span class="subsectionToc">21.8 <a
-href="pgfmanualse21.html#x22-22300021.8" id="QQ2-22-223">The Grid Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.9 <a
-href="pgfmanualse21.html#x22-22400021.9" id="QQ2-22-224">The Parabola Path Operation</a></span>
-<br> &nbsp;<span class="subsectionToc">21.10 <a
-href="pgfmanualse21.html#x22-22500021.10" id="QQ2-22-225">Sine and Cosine Path Operations</a></span>
-<br> &nbsp;<span class="subsectionToc">21.11 <a
-href="pgfmanualse21.html#x22-22600021.11" id="QQ2-22-226">Plot Path Operations</a></span>
-<br> &nbsp;<span class="subsectionToc">21.12 <a
-href="pgfmanualse21.html#x22-22700021.12" id="QQ2-22-227">Rounded Corners</a></span>
-<br> &nbsp;<span class="subsectionToc">21.13 <a
-href="pgfmanualse21.html#x22-22800021.13" id="QQ2-22-228">Internal Tracking of Bounding Boxes for Paths and Pictures</a></span>
-<br> <span class="sectionToc">22 <a
-href="pgfmanualse22.html#x23-22900022" id="QQ2-23-229">Snakes</a></span>
-<br> &nbsp;<span class="subsectionToc">22.1 <a
-href="pgfmanualse22.html#x23-23000022.1" id="QQ2-23-230">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">22.2 <a
-href="pgfmanualse22.html#x23-23100022.2" id="QQ2-23-231">Declaring a Snake</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">22.2.1 <a
-href="pgfmanualse22.html#x23-23200022.2.1" id="QQ2-23-232">Segments</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">22.2.2 <a
-href="pgfmanualse22.html#x23-23300022.2.2" id="QQ2-23-233">Snake Automata</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">22.2.3 <a
-href="pgfmanualse22.html#x23-23400022.2.3" id="QQ2-23-234">The Snake Declaration Command</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">22.2.4 <a
-href="pgfmanualse22.html#x23-23500022.2.4" id="QQ2-23-235">Predefined Snakes</a></span>
-<br> &nbsp;<span class="subsectionToc">22.3 <a
-href="pgfmanualse22.html#x23-23600022.3" id="QQ2-23-236">Using Snakes</a></span>
-<br> <span class="sectionToc">23 <a
-href="pgfmanualse23.html#x24-23700023" id="QQ2-24-237">Using Paths</a></span>
-<br> &nbsp;<span class="subsectionToc">23.1 <a
-href="pgfmanualse23.html#x24-23800023.1" id="QQ2-24-238">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">23.2 <a
-href="pgfmanualse23.html#x24-23900023.2" id="QQ2-24-239">Stroking a Path</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.1 <a
-href="pgfmanualse23.html#x24-24000023.2.1" id="QQ2-24-240">Graphic Parameter: Line Width</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.2 <a
-href="pgfmanualse23.html#x24-24100023.2.2" id="QQ2-24-241">Graphic Parameter: Caps and Joins</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.3 <a
-href="pgfmanualse23.html#x24-24200023.2.3" id="QQ2-24-242">Graphic Parameter: Dashing</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.4 <a
-href="pgfmanualse23.html#x24-24300023.2.4" id="QQ2-24-243">Graphic Parameter: Stroke Color</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.5 <a
-href="pgfmanualse23.html#x24-24400023.2.5" id="QQ2-24-244">Graphic Parameter: Stroke Opacity</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.2.6 <a
-href="pgfmanualse23.html#x24-24500023.2.6" id="QQ2-24-245">Graphic Parameter: Arrows</a></span>
-<br> &nbsp;<span class="subsectionToc">23.3 <a
-href="pgfmanualse23.html#x24-24600023.3" id="QQ2-24-246">Filling a Path</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.3.1 <a
-href="pgfmanualse23.html#x24-24700023.3.1" id="QQ2-24-247">Graphic Parameter: Interior Rule</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.3.2 <a
-href="pgfmanualse23.html#x24-24800023.3.2" id="QQ2-24-248">Graphic Parameter: Filling Color</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">23.3.3 <a
-href="pgfmanualse23.html#x24-24900023.3.3" id="QQ2-24-249">Graphic Parameter: Fill Opacity</a></span>
-<br> &nbsp;<span class="subsectionToc">23.4 <a
-href="pgfmanualse23.html#x24-25000023.4" id="QQ2-24-250">Clipping a Path</a></span>
-<br> &nbsp;<span class="subsectionToc">23.5 <a
-href="pgfmanualse23.html#x24-25100023.5" id="QQ2-24-251">Using a Path as a Bounding Box</a></span>
-<br> <span class="sectionToc">24 <a
-href="pgfmanualse24.html#x25-25200024" id="QQ2-25-252">Arrow Tips</a></span>
-<br> &nbsp;<span class="subsectionToc">24.1 <a
-href="pgfmanualse24.html#x25-25300024.1" id="QQ2-25-253">Overview</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">24.1.1 <a
-href="pgfmanualse24.html#x25-25400024.1.1" id="QQ2-25-254">When Does PGF Draw Arrow Tips?</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">24.1.2 <a
-href="pgfmanualse24.html#x25-25500024.1.2" id="QQ2-25-255">Meta-Arrow Tips</a></span>
-<br> &nbsp;<span class="subsectionToc">24.2 <a
-href="pgfmanualse24.html#x25-25600024.2" id="QQ2-25-256">Declaring an Arrow Tip Kind</a></span>
-<br> &nbsp;<span class="subsectionToc">24.3 <a
-href="pgfmanualse24.html#x25-25700024.3" id="QQ2-25-257">Declaring a Derived Arrow Tip Kind</a></span>
-<br> &nbsp;<span class="subsectionToc">24.4 <a
-href="pgfmanualse24.html#x25-25800024.4" id="QQ2-25-258">Using an Arrow Tip Kind</a></span>
-<br> &nbsp;<span class="subsectionToc">24.5 <a
-href="pgfmanualse24.html#x25-25900024.5" id="QQ2-25-259">Predefined Arrow Tip Kinds</a></span>
-<br> <span class="sectionToc">25 <a
-href="pgfmanualse25.html#x26-26000025" id="QQ2-26-260">Nodes and Shapes</a></span>
-<br> &nbsp;<span class="subsectionToc">25.1 <a
-href="pgfmanualse25.html#x26-26100025.1" id="QQ2-26-261">Overview</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.1.1 <a
-href="pgfmanualse25.html#x26-26200025.1.1" id="QQ2-26-262">Creating and Referencing Nodes</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.1.2 <a
-href="pgfmanualse25.html#x26-26300025.1.2" id="QQ2-26-263">Anchors</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.1.3 <a
-href="pgfmanualse25.html#x26-26400025.1.3" id="QQ2-26-264">Layers of a Shape</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.1.4 <a
-href="pgfmanualse25.html#x26-26500025.1.4" id="QQ2-26-265">Node Parts</a></span>
-<br> &nbsp;<span class="subsectionToc">25.2 <a
-href="pgfmanualse25.html#x26-26600025.2" id="QQ2-26-266">Creating Nodes</a></span>
-<br> &nbsp;<span class="subsectionToc">25.3 <a
-href="pgfmanualse25.html#x26-26700025.3" id="QQ2-26-267">Using Anchors</a></span>
-<br> &nbsp;<span class="subsectionToc">25.4 <a
-href="pgfmanualse25.html#x26-26800025.4" id="QQ2-26-268">Declaring New Shapes</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.4.1 <a
-href="pgfmanualse25.html#x26-26900025.4.1" id="QQ2-26-269">What Must Be Defined For a Shape?</a></span>
-
-
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.4.2 <a
-href="pgfmanualse25.html#x26-27000025.4.2" id="QQ2-26-270">Normal Anchors Versus Saved Anchors</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">25.4.3 <a
-href="pgfmanualse25.html#x26-27100025.4.3" id="QQ2-26-271">Command for Declaring New Shapes</a></span>
-<br> &nbsp;<span class="subsectionToc">25.5 <a
-href="pgfmanualse25.html#x26-27200025.5" id="QQ2-26-272">Predefined Shapes</a></span>
-<br> <span class="sectionToc">26 <a
-href="pgfmanualse26.html#x27-27300026" id="QQ2-27-273">Coordinate and Canvas Transformations</a></span>
-<br> &nbsp;<span class="subsectionToc">26.1 <a
-href="pgfmanualse26.html#x27-27400026.1" id="QQ2-27-274">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">26.2 <a
-href="pgfmanualse26.html#x27-27500026.2" id="QQ2-27-275">Coordinate Transformations</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">26.2.1 <a
-href="pgfmanualse26.html#x27-27600026.2.1" id="QQ2-27-276">How PGF Keeps Track of the Coordinate Transformation Matrix</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">26.2.2 <a
-href="pgfmanualse26.html#x27-27700026.2.2" id="QQ2-27-277">Commands for Relative Coordinate Transformations</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">26.2.3 <a
-href="pgfmanualse26.html#x27-27800026.2.3" id="QQ2-27-278">Commands for Absolute Coordinate Transformations</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">26.2.4 <a
-href="pgfmanualse26.html#x27-27900026.2.4" id="QQ2-27-279">Saving and Restoring the Coordinate Transformation Matrix</a></span>
-<br> &nbsp;<span class="subsectionToc">26.3 <a
-href="pgfmanualse26.html#x27-28000026.3" id="QQ2-27-280">Canvas Transformations</a></span>
-<br> <span class="sectionToc">27 <a
-href="pgfmanualse27.html#x28-28100027" id="QQ2-28-281">Declaring and Using Images</a></span>
-<br> &nbsp;<span class="subsectionToc">27.1 <a
-href="pgfmanualse27.html#x28-28200027.1" id="QQ2-28-282">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">27.2 <a
-href="pgfmanualse27.html#x28-28300027.2" id="QQ2-28-283">Declaring an Image</a></span>
-<br> &nbsp;<span class="subsectionToc">27.3 <a
-href="pgfmanualse27.html#x28-28400027.3" id="QQ2-28-284">Using an Image</a></span>
-<br> &nbsp;<span class="subsectionToc">27.4 <a
-href="pgfmanualse27.html#x28-28500027.4" id="QQ2-28-285">Masking an Image</a></span>
-<br> <span class="sectionToc">28 <a
-href="pgfmanualse28.html#x29-28600028" id="QQ2-29-286">Declaring and Using Shadings</a></span>
-<br> &nbsp;<span class="subsectionToc">28.1 <a
-href="pgfmanualse28.html#x29-28700028.1" id="QQ2-29-287">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">28.2 <a
-href="pgfmanualse28.html#x29-28800028.2" id="QQ2-29-288">Declaring Shadings</a></span>
-<br> &nbsp;<span class="subsectionToc">28.3 <a
-href="pgfmanualse28.html#x29-28900028.3" id="QQ2-29-289">Using Shadings</a></span>
-<br> <span class="sectionToc">29 <a
-href="pgfmanualse29.html#x30-29000029" id="QQ2-30-290">Creating Plots</a></span>
-<br> &nbsp;<span class="subsectionToc">29.1 <a
-href="pgfmanualse29.html#x30-29100029.1" id="QQ2-30-291">Overview</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">29.1.1 <a
-href="pgfmanualse29.html#x30-29200029.1.1" id="QQ2-30-292">When Should One Use PGF for Generating Plots? </a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">29.1.2 <a
-href="pgfmanualse29.html#x30-29300029.1.2" id="QQ2-30-293">How PGF Handles Plots</a></span>
-<br> &nbsp;<span class="subsectionToc">29.2 <a
-href="pgfmanualse29.html#x30-29400029.2" id="QQ2-30-294">Generating Plot Streams</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">29.2.1 <a
-href="pgfmanualse29.html#x30-29500029.2.1" id="QQ2-30-295">Basic Building Blocks of Plot Streams</a></span>
-<br> &nbsp;&nbsp;<span class="subsubsectionToc">29.2.2 <a
-href="pgfmanualse29.html#x30-29600029.2.2" id="QQ2-30-296">Commands That Generate Plot Streams</a></span>
-<br> &nbsp;<span class="subsectionToc">29.3 <a
-href="pgfmanualse29.html#x30-29700029.3" id="QQ2-30-297">Plot Handlers</a></span>
-<br> <span class="sectionToc">30 <a
-href="pgfmanualse30.html#x31-29800030" id="QQ2-31-298">Layered Graphics</a></span>
-<br> &nbsp;<span class="subsectionToc">30.1 <a
-href="pgfmanualse30.html#x31-29900030.1" id="QQ2-31-299">Overview</a></span>
-<br> &nbsp;<span class="subsectionToc">30.2 <a
-href="pgfmanualse30.html#x31-30000030.2" id="QQ2-31-300">Declaring Layers</a></span>
-<br> &nbsp;<span class="subsectionToc">30.3 <a
-href="pgfmanualse30.html#x31-30100030.3" id="QQ2-31-301">Using Layers</a></span>
-<br> <span class="sectionToc">31 <a
-href="pgfmanualse31.html#x32-30200031" id="QQ2-32-302">Quick Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">31.1 <a
-href="pgfmanualse31.html#x32-30300031.1" id="QQ2-32-303">Quick Path Construction Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">31.2 <a
-href="pgfmanualse31.html#x32-30400031.2" id="QQ2-32-304">Quick Path Usage Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">31.3 <a
-href="pgfmanualse31.html#x32-30500031.3" id="QQ2-32-305">Quick Text Box Commands</a></span>
-<br> <span class="partToc">V&nbsp;&nbsp;<a
-href="#x1-306000V" id="QQ2-1-306">The System Layer</a></span>
-<br> <span class="sectionToc">32 <a
-href="pgfmanualse32.html#x33-30700032" id="QQ2-33-307">Design of the System Layer</a></span>
-<br> &nbsp;<span class="subsectionToc">32.1 <a
-href="pgfmanualse32.html#x33-30800032.1" id="QQ2-33-308">Driver Files</a></span>
-<br> &nbsp;<span class="subsectionToc">32.2 <a
-href="pgfmanualse32.html#x33-30900032.2" id="QQ2-33-309">Common Definition Files</a></span>
-<br> <span class="sectionToc">33 <a
-href="pgfmanualse33.html#x34-31000033" id="QQ2-34-310">Commands of the System Layer</a></span>
-<br> &nbsp;<span class="subsectionToc">33.1 <a
-href="pgfmanualse33.html#x34-31100033.1" id="QQ2-34-311">Beginning and Ending a Stream of System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.2 <a
-href="pgfmanualse33.html#x34-31200033.2" id="QQ2-34-312">Path Construction System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.3 <a
-href="pgfmanualse33.html#x34-31300033.3" id="QQ2-34-313">Canvas Transformation System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.4 <a
-href="pgfmanualse33.html#x34-31400033.4" id="QQ2-34-314">Stroking, Filling, and Clipping System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.5 <a
-href="pgfmanualse33.html#x34-31500033.5" id="QQ2-34-315">Graphic State Option System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.6 <a
-href="pgfmanualse33.html#x34-31600033.6" id="QQ2-34-316">Color System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.7 <a
-href="pgfmanualse33.html#x34-31700033.7" id="QQ2-34-317">Scoping System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.8 <a
-href="pgfmanualse33.html#x34-31800033.8" id="QQ2-34-318">Image System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.9 <a
-href="pgfmanualse33.html#x34-31900033.9" id="QQ2-34-319">Shading System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.10 <a
-href="pgfmanualse33.html#x34-32000033.10" id="QQ2-34-320">Reusable Objects System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.11 <a
-href="pgfmanualse33.html#x34-32100033.11" id="QQ2-34-321">Invisibility System Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">33.12 <a
-href="pgfmanualse33.html#x34-32200033.12" id="QQ2-34-322">Internal Conversion Commands</a></span>
-<br> <span class="sectionToc">34 <a
-href="pgfmanualse34.html#x35-32300034" id="QQ2-35-323">The Soft Path Subsystem</a></span>
-<br> &nbsp;<span class="subsectionToc">34.1 <a
-href="pgfmanualse34.html#x35-32400034.1" id="QQ2-35-324">Path Creation Process</a></span>
-<br> &nbsp;<span class="subsectionToc">34.2 <a
-href="pgfmanualse34.html#x35-32500034.2" id="QQ2-35-325">Starting and Ending a Soft Path</a></span>
-<br> &nbsp;<span class="subsectionToc">34.3 <a
-href="pgfmanualse34.html#x35-32600034.3" id="QQ2-35-326">Soft Path Creation Commands</a></span>
-<br> &nbsp;<span class="subsectionToc">34.4 <a
-href="pgfmanualse34.html#x35-32700034.4" id="QQ2-35-327">The Soft Path Data Structure</a></span>
-
-
-<br> <span class="sectionToc">35 <a
-href="pgfmanualse35.html#x36-32800035" id="QQ2-36-328">The Protocol Subsystem</a></span>
-<br> <span class="partToc">VI&nbsp;&nbsp;<a
-href="#x1-329000VI" id="QQ2-1-329">References and Index</a></span>
- </div>
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;I<br></span><a
- id="x1-2000I"></a>Getting Started</h1>
-<!--l. 108--><p class="noindent">This part is intended to help you get started with the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package. First, the installation process is explained;
-however, the system will typically be already installed on your system, so this can often be skipped. Next, a
-short tutorial is given that explains the most often used commands and concepts of Ti<span
-class="cmti-10">k</span>Z, without
-going into any of the glorious details. At the end of this section you will find some, hopefully useful,
-hints on how to create &#8220;good&#8221; graphics in general. The information in this section is not specific to
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>.
-<!--l. 120--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-2.svg" width="77.94034 " height="125.36137 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-3-" ><colgroup id="TBL-3-1g"><col
-id="TBL-3-1"></colgroup><tr
- valign="baseline" id="TBL-3-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-3-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[thick,rounded</span><span
-class="cmtt-8">&nbsp;corners=8pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,3.25)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0);</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-
-
-
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;II<br></span><a
- id="x1-65000II"></a>Ti<span
-class="cmti-10">k</span>Z ist <span
-class="cmti-10">kein </span>Zeichenprogramm</h1>
-<!--l. 136--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-64.svg" width="507.12994 " height="150.41641 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-65-" ><colgroup id="TBL-65-1g"><col
-id="TBL-65-1"></colgroup><tr
- valign="baseline" id="TBL-65-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-65-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[fill=yellow]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(60:.75cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(60:180:.75cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw(120:0.4cm)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{$\alpha$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[fill=green!30]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(right:.75cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:60:.75cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw(30:0.5cm)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{$\beta$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[shift={(60:2cm)}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[fill=green!30]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(180:.75cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:240:.75cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(30:-0.5cm)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{$\gamma$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[fill=yellow]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(240:.75cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(240:360:.75cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-60:0.4cm)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{$\delta$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(60:-1cm)</span><span
-class="cmtt-8">&nbsp;node[fill=white]</span><span
-class="cmtt-8">&nbsp;{$E$}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(60:3cm)</span><span
-class="cmtt-8">&nbsp;node[fill=white]</span><span
-class="cmtt-8">&nbsp;{$F$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{$A$}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;node[right]{$B$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[blue,shift={(60:2cm)}]</span><span
-class="cmtt-8">&nbsp;(-3,0)</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{$C$}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node[right]{$D$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift={(60:1cm)},xshift=4cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;[right,text</span><span
-class="cmtt-8">&nbsp;width=6cm,rounded</span><span
-class="cmtt-8">&nbsp;corners,fill=red!20,inner</span><span
-class="cmtt-8">&nbsp;sep=1ex]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;When</span><span
-class="cmtt-8">&nbsp;we</span><span
-class="cmtt-8">&nbsp;assume</span><span
-class="cmtt-8">&nbsp;that</span><span
-class="cmtt-8">&nbsp;$\color{red}AB$</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;$\color{blue}CD$</span><span
-class="cmtt-8">&nbsp;are</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;parallel,</span><span
-class="cmtt-8">&nbsp;i.\,e.,</span><span
-class="cmtt-8">&nbsp;${\color{red}AB}</span><span
-class="cmtt-8">&nbsp;\mathbin{\|}</span><span
-class="cmtt-8">&nbsp;\color{blue}CD$,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;then</span><span
-class="cmtt-8">&nbsp;$\alpha</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;\delta$</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;$\beta</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;\gamma$.</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-
-
-
-
-
-
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;III<br></span><a
- id="x1-158000III"></a>Libraries and Utilities</h1>
-<!--l. 184--><p class="noindent">In this part the library and utility packages are documented. The library packages provide additional predefined
-graphic objects like new arrow heads, or new plot marks. These are not loaded by default since many users will not
-need them.
-<!--l. 189--><p class="indent"> The utility packages are not directly involved in creating graphics, but you may find them useful nonetheless. All
-of them either directly depend on <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;or they are designed to work well together with <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;even though they can
-be used in a stand-alone way.
-<!--l. 195--><p class="noindent">
-<!--l. 196--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-305.svg" width="359.47316 " height="357.33286 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-312-" ><colgroup id="TBL-312-1g"><col
-id="TBL-312-1"></colgroup><tr
- valign="baseline" id="TBL-312-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=2]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[top</span><span
-class="cmtt-8">&nbsp;color=blue,bottom</span><span
-class="cmtt-8">&nbsp;color=gray!50]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola</span><span
-class="cmtt-8">&nbsp;(1.5,2.25)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1.05cm,2pt)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$\displaystyle\int_0^{3/2}</span><span
-class="cmtt-8">&nbsp;\!\!x^2\mathrm{d}x$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3.9,3.9)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[step=0.25cm]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,2)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(1,1);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-0.2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-0.2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,4)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$f(x)$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x/\xtext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1/1,</span><span
-class="cmtt-8">&nbsp;1.5/1\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;2/2,</span><span
-class="cmtt-8">&nbsp;3/3}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift={(\x,0)}]</span><span
-class="cmtt-8">&nbsp;(0pt,2pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,-2pt)</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{$\xtext$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y/\ytext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1/1,</span><span
-class="cmtt-8">&nbsp;2/2,</span><span
-class="cmtt-8">&nbsp;2.25/2\frac{1}{4},</span><span
-class="cmtt-8">&nbsp;3/3}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift={(0,\y)}]</span><span
-class="cmtt-8">&nbsp;(2pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-2pt,0pt)</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{$\ytext$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-.5,.25)</span><span
-class="cmtt-8">&nbsp;parabola</span><span
-class="cmtt-8">&nbsp;bend</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;(2,4)</span><span
-class="cmtt-8">&nbsp;node[below</span><span
-class="cmtt-8">&nbsp;right]</span><span
-class="cmtt-8">&nbsp;{$x^2$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-
-
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;IV<br></span><a
- id="x1-186000IV"></a>The Basic Layer</h1>
-<!--l. 227--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-469.svg" width="295.38785 " height="255.1695 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-396-" ><colgroup id="TBL-396-1g"><col
-id="TBL-396-1"></colgroup><tr
- valign="baseline" id="TBL-396-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-396-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.9,-1.9)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2.9,3.9)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[step=0.25cm]</span><span
-class="cmtt-8">&nbsp;(-1,-1)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[blue]</span><span
-class="cmtt-8">&nbsp;(1,-2.1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,4.1);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;asymptote</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$x(t)$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,4)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$y(t)$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\pos</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,2}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift={(\pos,0)}]</span><span
-class="cmtt-8">&nbsp;(0pt,2pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,-2pt)</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{$\pos$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\pos</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,1,2,3}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift={(0,\pos)}]</span><span
-class="cmtt-8">&nbsp;(2pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-2pt,0pt)</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{$\pos$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.064cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick,parametric,domain=0.4:1.5,samples=200]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;The</span><span
-class="cmsltt-10x-x-80">&nbsp;plot</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;reparameterised</span><span
-class="cmsltt-10x-x-80">&nbsp;such</span><span
-class="cmsltt-10x-x-80">&nbsp;that</span><span
-class="cmsltt-10x-x-80">&nbsp;there</span><span
-class="cmsltt-10x-x-80">&nbsp;are</span><span
-class="cmsltt-10x-x-80">&nbsp;more</span><span
-class="cmsltt-10x-x-80">&nbsp;samples</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;near</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;center.</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[id=asymptotic-example]</span><span
-class="cmtt-8">&nbsp;function{(t*t*t)*sin(1/(t*t*t)),(t*t*t)*cos(1/(t*t*t))}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$\bigl(x(t),y(t)\bigr)</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;(t\sin</span><span
-class="cmtt-8">&nbsp;\frac{1}{t},</span><span
-class="cmtt-8">&nbsp;t\cos</span><span
-class="cmtt-8">&nbsp;\frac{1}{t})$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red]</span><span
-class="cmtt-8">&nbsp;(0.63662,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;[below</span><span
-class="cmtt-8">&nbsp;right,fill=white,yshift=-4pt]</span><span
-class="cmtt-8">&nbsp;{$(\frac{2}{\pi},0)$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;V<br></span><a
- id="x1-306000V"></a>The System Layer</h1>
-<!--l. 276--><p class="noindent">This part describes the low-level interface of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, called the <span
-class="cmti-10">system layer</span>. This interface provides a complete
-abstraction of the internals of the underlying drivers.
-<!--l. 280--><p class="indent"> Unless you intend to port <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to another driver or unless you intend to write your own optimized frontend, you
-need not read this part.
-<!--l. 283--><p class="indent"> In the following it is assumed that you are familiar with the basic workings of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphics</span></span></span> package and that
-you know what <span class="TEX">T<span
-class="E">E</span>X</span>-drivers are and how they work.
-<!--l. 288--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-651.svg" width="592.71927 " height="107.44205 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-573-" ><colgroup id="TBL-573-1g"><col
-id="TBL-573-1"></colgroup><tr
- valign="baseline" id="TBL-573-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-573-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[shorten</span><span
-class="cmtt-8">&nbsp;&gt;=1pt,-&gt;]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{vertex}=[circle,fill=black!25,minimum</span><span
-class="cmtt-8">&nbsp;size=17pt,inner</span><span
-class="cmtt-8">&nbsp;sep=0pt]</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\name/\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{s/1,</span><span
-class="cmtt-8">&nbsp;2/2,</span><span
-class="cmtt-8">&nbsp;3/3,</span><span
-class="cmtt-8">&nbsp;4/4,</span><span
-class="cmtt-8">&nbsp;15/11,</span><span
-class="cmtt-8">&nbsp;16/12,</span><span
-class="cmtt-8">&nbsp;17/13,</span><span
-class="cmtt-8">&nbsp;18/14,</span><span
-class="cmtt-8">&nbsp;19/15,</span><span
-class="cmtt-8">&nbsp;t/16}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[vertex]</span><span
-class="cmtt-8">&nbsp;(G-\name)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(\x,0)</span><span
-class="cmtt-8">&nbsp;{$\name$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\name/\angle/\text</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{P-1/234/5,</span><span
-class="cmtt-8">&nbsp;P-2/162/6,</span><span
-class="cmtt-8">&nbsp;P-3/90/7,</span><span
-class="cmtt-8">&nbsp;P-4/18/8,</span><span
-class="cmtt-8">&nbsp;P-5/-54/9}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[vertex,xshift=6cm,yshift=.5cm]</span><span
-class="cmtt-8">&nbsp;(\name)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(\angle:1cm)</span><span
-class="cmtt-8">&nbsp;{$\text$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\name/\angle/\text</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{Q-1/234/10,</span><span
-class="cmtt-8">&nbsp;Q-2/162/11,</span><span
-class="cmtt-8">&nbsp;Q-3/90/12,</span><span
-class="cmtt-8">&nbsp;Q-4/18/13,</span><span
-class="cmtt-8">&nbsp;Q-5/-54/14}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[vertex,xshift=9cm,yshift=.5cm]</span><span
-class="cmtt-8">&nbsp;(\name)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(\angle:1cm)</span><span
-class="cmtt-8">&nbsp;{$\text$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\from/\to</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{s/2,2/3,3/4,3/4,15/16,16/17,17/18,18/19,19/t}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(G-\from)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(G-\to);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\from/\to</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1/2,2/3,3/4,4/5,5/1,1/3,2/4,3/5,4/1,5/2}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(P-\from)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(P-\to);</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(Q-\from)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(Q-\to);</span><span
-class="cmtt-8">&nbsp;}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(G-3)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(-30:2cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-150:1cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(Q-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(Q-5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(G-15);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-
-
-
-
-
-
- <h1 class="partHead"><span class="titlemark">Part&nbsp;VI<br></span><a
- id="x1-329000VI"></a>References and Index</h1>
-<!--l. 322--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-652.svg" width="304.76138 " height="380.63509 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-585-" ><colgroup id="TBL-585-1g"><col
-id="TBL-585-1"></colgroup><tr
- valign="baseline" id="TBL-585-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-585-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=0.3cm,color=red!30,cap=round,join=round]</span><span
-class="cmtt-8">&nbsp;(0,0)--(2,0)--(2,5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-2.5,-2.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(5.5,7.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(1,-1)--(-1,-1)--(-1,1)--(0,1)--(0,0)--</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,0)--(1,-1)--(3,-1)--(3,2)--(2,2)--(2,3)--(3,3)--</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(3,5)--(1,5)--(1,4)--(0,4)--(0,6)--(1,6)--(1,5)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(3,3)--(4,3)--(4,5)--(3,5)--(3,6)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(3,-1)--(4,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[below</span><span
-class="cmtt-8">&nbsp;left]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node(s){$s$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[below</span><span
-class="cmtt-8">&nbsp;left]</span><span
-class="cmtt-8">&nbsp;(2,5)</span><span
-class="cmtt-8">&nbsp;node(t){$t$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.06cm)</span><span
-class="cmtt-8">&nbsp;(2,5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.06cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;,rounded</span><span
-class="cmtt-8">&nbsp;corners=0.2cm,shorten</span><span
-class="cmtt-8">&nbsp;&gt;=2pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1.5,0.5)--</span><span
-class="cmtt-8">&nbsp;++(0,-1)--</span><span
-class="cmtt-8">&nbsp;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,2)--</span><span
-class="cmtt-8">&nbsp;++(-1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,2)--</span><span
-class="cmtt-8">&nbsp;++(1,0)--</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;++(0,1)--</span><span
-class="cmtt-8">&nbsp;++(-1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-1)--</span><span
-class="cmtt-8">&nbsp;++(-2,0)--</span><span
-class="cmtt-8">&nbsp;++(0,3)--</span><span
-class="cmtt-8">&nbsp;++(2,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-1)--</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,1)--</span><span
-class="cmtt-8">&nbsp;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-1)--</span><span
-class="cmtt-8">&nbsp;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-3)--</span><span
-class="cmtt-8">&nbsp;++(-2,0)--</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-3)--</span><span
-class="cmtt-8">&nbsp;++(1,0)--</span><span
-class="cmtt-8">&nbsp;++(0,-1)--</span><span
-class="cmtt-8">&nbsp;++(-6,0)--</span><span
-class="cmtt-8">&nbsp;++(0,3)--</span><span
-class="cmtt-8">&nbsp;++(2,0)--</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;++(0,-1)--</span><span
-class="cmtt-8">&nbsp;++(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
- <h3 class="likesectionHead"><a
- id="x1-330000VI"></a>Index</h3>
- <div class="theindex"><span
-class="cmtt-10">( </span>arrow tip, 177
-<br><span
-class="cmtt-10">) </span>arrow tip, 177
-<br><span
-class="cmtt-10">* </span>arrow tip, 177
-<br><span
-class="cmtt-10">* </span>plot mark, 187
-<br><span
-class="cmtt-10">| </span>arrow tip, 295
-<br><span
-class="cmtt-10">| </span>plot mark, 187
-<br><span
-class="cmtt-10">+ </span>plot mark, 187
-<br><span
-class="cmtt-10">- </span>plot mark, 187
-<br><span
-class="cmtt-10">-- </span>path operation, 93
-<br><span
-class="cmtt-10">-| </span>path operation, 93
-<br><span
-class="cmtt-10">|- </span>path operation, 94
-<br><span
-class="cmtt-10">--cycle </span>path operation, 99
-<br><span
-class="cmtt-10">--plot </span>path operation, 105
-<br><span
-class="cmtt-10">.. </span>path operation, 99
-
-
-<br><span
-class="cmtt-10">&gt; </span>option, 123
-<br><span
-class="cmtt-10">[ </span>arrow tip, 177
-<br><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">shape name</span><span
-class="cmsy-10">&gt; </span>option, 136
-<br><span
-class="cmtt-10">] </span>arrow tip, 177
-<br><span
-class="cmtt-10">16 on 1 </span>layout, 211
-<br><span
-class="cmtt-10">2 on 1 </span>layout, 211
-<br><span
-class="cmtt-10">4 on 1 </span>layout, 211
-<br><span
-class="cmtt-10">8 on 1 </span>layout, 211
-<br><p class="theindex">
- <span
-class="cmtt-10">above </span>option, 142
-<br><span
-class="cmtt-10">above left </span>option, 142
-<br><span
-class="cmtt-10">above right </span>option, 142
-<br><span
-class="cmtt-10">\anchor</span>, 308
-<br><span
-class="cmtt-10">anchor </span>option, 141
-<br><span
-class="cmtt-10">\anchorborder</span>, 309
-<br><span
-class="cmtt-10">angle 45 </span>arrow tip, 176
-<br><span
-class="cmtt-10">angle 45 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">angle 60 </span>arrow tip, 176
-<br><span
-class="cmtt-10">angle 60 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">angle 90 </span>arrow tip, 176
-<br><span
-class="cmtt-10">angle 90 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">arc </span>path operation, 101
-<br>Arrow tips
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">(</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">)</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">*</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">|</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">[</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">]</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 45</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 45 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 60</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 60 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 90</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">angle 90 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">butt cap</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">diamond</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">fast cap</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">fast cap reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">hooks</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">hooks reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">latex</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">latex reversed</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">latex'</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">latex' reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left hook</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left hook reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left to</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left to reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">o</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open diamond</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 45</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 45 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 60</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 60 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 90</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">open triangle 90 reversed</span>, 176
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right hook</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right hook reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right to</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right to reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">round cap</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stealth</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stealth reversed</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stealth'</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stealth' reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">to</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">to reversed</span>, 295
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 45</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 45 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 60</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 60 reversed</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 90</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 90 cap</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 90 cap reversed</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle 90 reversed</span>, 176
-<br><span
-class="cmtt-10">arrows </span>option, 122
-<br><span
-class="cmtt-10">asterisk </span>plot mark, 187
-<br><span
-class="cmtt-10">at </span>option, 238
-<br><span
-class="cmtt-10">at end </span>style, 146
-<br><span
-class="cmtt-10">at start </span>style, 146
-<br></p><p class="theindex">
- <span
-class="cmtt-10">background grid </span>style, 195
-<br><span
-class="cmtt-10">background rectangle </span>style, 195
-<br><span
-class="cmtt-10">background top </span>style, 196
-<br><span
-class="cmtt-10">\backgroundpath</span>, 310
-<br><span
-class="cmtt-10">ball </span>plot mark, 109
-<br><span
-class="cmtt-10">ball color </span>option, 130
-<br><span
-class="cmtt-10">base </span>option, 238
-<br><span
-class="cmtt-10">baseline </span>option, 76
-<br><span
-class="cmtt-10">\beforebackgroundpath</span>, 310
-<br><span
-class="cmtt-10">\beforeforegroundpath</span>, 311
-<br><span
-class="cmtt-10">\behindbackgroundpath</span>, 310
-<br><span
-class="cmtt-10">\behindforegroundpath</span>, 310
-<br><span
-class="cmtt-10">below </span>option, 143
-<br><span
-class="cmtt-10">below left </span>option, 143
-<br><span
-class="cmtt-10">below right </span>option, 143
-<br><span
-class="cmtt-10">bend </span>option, 103
-<br><span
-class="cmtt-10">bend at end </span>style, 104
-<br><span
-class="cmtt-10">bend at start </span>style, 104
-<br><span
-class="cmtt-10">bend pos </span>option, 104
-<br><span
-class="cmtt-10">border </span>snake, 178
-<br><span
-class="cmtt-10">bottom </span>option, 237
-<br><span
-class="cmtt-10">bottom color </span>option, 129
-<br><span
-class="cmtt-10">brace </span>snake, 178
-<br><span
-class="cmtt-10">\breakforeach</span>, 205
-<br><span
-class="cmtt-10">bumps </span>snake, 178
-<br><span
-class="cmtt-10">butt cap </span>arrow tip, 177
-<br></p><p class="theindex">
- <span
-class="cmtt-10">cap </span>option, 119
-<br><span
-class="cmtt-10">child </span>path operation, 152
-<br><span
-class="cmtt-10">child anchor </span>option, 163
-<br><span
-class="cmtt-10">circle </span>path operation, 101
-
-
-<br><span
-class="cmtt-10">circle </span>shape, 313
-<br><span
-class="cmtt-10">\clip</span>, 116
-<br><span
-class="cmtt-10">clip </span>option, 131
-<br><span
-class="cmtt-10">cm </span>option, 173
-<br><span
-class="cmtt-10">coil </span>snake, 179
-<br><span
-class="cmtt-10">color </span>option, 116
-<br><span
-class="cmtt-10">color option </span>option, 116
-<br><span
-class="cmtt-10">\colorcurrentmixin</span>, 221
-<br><span
-class="cmtt-10">colormixin </span>environment, 220
-<br><span
-class="cmtt-10">\coordinate</span>, 116
-<br><span
-class="cmtt-10">coordinate </span>path operation, 137
-<br><span
-class="cmtt-10">coordinate </span>shape, 313
-<br><span
-class="cmtt-10">cos </span>path operation, 105
-<br><span
-class="cmtt-10">cross out </span>shape, 188
-<br></p><p class="theindex">
- <span
-class="cmtt-10">dash pattern </span>option, 119
-<br><span
-class="cmtt-10">dash phase </span>option, 120
-<br><span
-class="cmtt-10">dashed </span>style, 120
-<br><span
-class="cmtt-10">densely dashed </span>style, 120
-<br><span
-class="cmtt-10">densely dotted </span>style, 120
-<br><span
-class="cmtt-10">diamond </span>arrow tip, 177
-<br><span
-class="cmtt-10">diamond </span>plot mark, 187
-<br><span
-class="cmtt-10">diamond* </span>plot mark, 187
-<br><span
-class="cmtt-10">domain </span>option, 108
-<br><span
-class="cmtt-10">dotted </span>style, 120
-<br><span
-class="cmtt-10">double </span>option, 124
-<br><span
-class="cmtt-10">double distance </span>option, 124
-<br><span
-class="cmtt-10">draft </span>package option, 231, 330
-<br><span
-class="cmtt-10">\draw</span>, 115
-<br><span
-class="cmtt-10">draw </span>option, 117
-<br><span
-class="cmtt-10">draw opacity </span>option, 121
-<br></p><p class="theindex">
- <span
-class="cmtt-10">edge from parent </span>path operation, 162
-<br><span
-class="cmtt-10">edge from parent </span>style, 163
-<br><span
-class="cmtt-10">edge from parent fork down </span>style, 193
-<br><span
-class="cmtt-10">edge from parent fork left </span>style, 194
-<br><span
-class="cmtt-10">edge from parent fork right </span>style, 193
-<br><span
-class="cmtt-10">edge from parent fork up </span>style, 194
-<br><span
-class="cmtt-10">edge from parent path </span>option, 162
-<br><span
-class="cmtt-10">ellipse </span>path operation, 101
-<br><span
-class="cmtt-10">ellipse </span>shape, 189
-<br><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">empty</span><span
-class="cmsy-10">&gt; </span>path operation, 92
-<br>Environments
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">colormixin</span>, 220
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfinterruptpath</span>, 236
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfinterruptpicture</span>, 236
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflowlevelscope</span>, 327
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfonlayer</span>, 354, 355
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfpicture</span>, 233, 234
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfscope</span>, 234, 235
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">scope</span>, 78, 79
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">tikzpicture</span>, 76, 77
-<br><span
-class="cmtt-10">even odd rule </span>option, 126
-<br><span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">part name</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node part </span>style, 138
-<br><span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">shape</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node </span>style, 137
-<br><span
-class="cmtt-10">every child </span>style, 156
-
-
-<br><span
-class="cmtt-10">every child node </span>style, 156
-<br><span
-class="cmtt-10">every node </span>style, 136
-<br><span
-class="cmtt-10">every path </span>style, 92
-<br><span
-class="cmtt-10">every picture </span>style, 77
-<br><span
-class="cmtt-10">every plot </span>style, 109
-<br><span
-class="cmtt-10">every scope </span>style, 78
-<br><span
-class="cmtt-10">execute at begin picture </span>option, 76
-<br><span
-class="cmtt-10">execute at begin scope </span>option, 79
-<br><span
-class="cmtt-10">execute at end picture </span>option, 76
-<br><span
-class="cmtt-10">execute at end scope </span>option, 79
-<br><span
-class="cmtt-10">expanding waves </span>snake, 179
-<br></p><p class="theindex">
- <span
-class="cmtt-10">fast cap </span>arrow tip, 177
-<br><span
-class="cmtt-10">fast cap reversed </span>arrow tip, 177
-<br>File, <span
-class="cmti-10">see </span>Packages and files
-<br><span
-class="cmtt-10">\fill</span>, 115
-<br><span
-class="cmtt-10">fill </span>option, 125
-<br><span
-class="cmtt-10">fill opacity </span>option, 127
-<br><span
-class="cmtt-10">\filldraw</span>, 115
-<br><span
-class="cmtt-10">font </span>option, 139
-<br><span
-class="cmtt-10">forbidden sign </span>shape, 189
-<br><span
-class="cmtt-10">\foreach</span>, 201
-<br><span
-class="cmtt-10">\foregroundpath</span>, 310
-<br><span
-class="cmtt-10">framed </span>style, 195
-<br></p><p class="theindex">
- <span
-class="cmtt-10">gap after snake </span>option, 95
-<br><span
-class="cmtt-10">gap around snake </span>option, 95
-<br><span
-class="cmtt-10">gap before snakes </span>option, 95
-<br>Graphic options
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">&gt;</span>, 123
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">shape name</span><span
-class="cmsy-10">&gt;</span>, 136
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">above</span>, 142
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">above left</span>, 142
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">above right</span>, 142
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">anchor</span>, 141
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">arrows</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">at</span>, 238
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ball color</span>, 130
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">base</span>, 238
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">baseline</span>, 76
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">below</span>, 143
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">below left</span>, 143
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">below right</span>, 143
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bend</span>, 103
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bend pos</span>, 104
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bottom</span>, 237
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bottom color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">cap</span>, 119
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">child anchor</span>, 163
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">clip</span>, 131
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">cm</span>, 173
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">color</span>, 116
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">color option</span>, 116
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">dash pattern</span>, 119
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">dash phase</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">domain</span>, 108
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">double</span>, 124
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">double distance</span>, 124
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">draw</span>, 117
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">draw opacity</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent path</span>, 162
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">even odd rule</span>, 126
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">execute at begin picture</span>, 76
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">execute at begin scope</span>, 79
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">execute at end picture</span>, 76
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">execute at end scope</span>, 79
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">fill</span>, 125
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">fill opacity</span>, 127
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">font</span>, 139
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">gap after snake</span>, 95
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">gap around snake</span>, 95
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">gap before snakes</span>, 95
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">grow</span>, 160
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">grow via three points</span>, 191
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">grow'</span>, 161
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">growth function</span>, 161
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">id</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner frame sep</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner frame xsep</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner frame ysep</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner sep</span>, 147
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner xsep</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">inner ysep</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">join</span>, 119
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left</span>, 142, 237
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">left color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">level distance</span>, 158
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">line after snake</span>, 96
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">line around snake</span>, 96
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">line before snake</span>, 95
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">line width</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">mark</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">mark options</span>, 110
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">mark size</span>, 110
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">middle color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">minimum height</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">minimum size</span>, 149
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">minimum width</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">mirror snake</span>, 96
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">miter limit</span>, 119
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">name</span>, 135
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">next state</span>, 269
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">nonzero rule</span>, 125
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">only marks</span>, 112
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">opacity</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer color</span>, 130
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer frame sep</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer frame xsep</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer frame ysep</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer sep</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer xsep</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">outer ysep</span>, 148
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">parabola height</span>, 104
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">parametric</span>, 108
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">parent anchor</span>, 163
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">polar comb</span>, 112
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pos</span>, 144
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">prefix</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">raise snake</span>, 96
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">raw gnuplot</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">reset cm</span>, 173
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right</span>, 143, 237
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">right color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rotate</span>, 172, 238
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rotate around</span>, 173
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rounded corners</span>, 100
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">samples</span>, 108
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">scale</span>, 171
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">segment amplitude</span>, 96
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">segment angle</span>, 97
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">segment aspect</span>, 98
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">segment length</span>, 97
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">segment object length</span>, 97
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">set style</span>, 80
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shade</span>, 127
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shading</span>, 128
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shading angle</span>, 128
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shape</span>, 136
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sharp corners</span>, 101
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sharp plot</span>, 110
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shift</span>, 171
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shorten &lt;</span>, 124
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">shorten &gt;</span>, 123
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sibling angle</span>, 192
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sibling distance</span>, 159
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sloped</span>, 145
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">smooth</span>, 110
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">smooth cycle</span>, 111
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">snake</span>, 95
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">step</span>, 102, 259
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stepx</span>, 259
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">stepy</span>, 259
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">style</span>, 79
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">switch if less than</span>, 269
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">tension</span>, 110
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text</span>, 138
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text badly centered</span>, 141
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text badly ragged</span>, 140
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text centered</span>, 140
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text justified</span>, 140
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text opacity</span>, 138
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text ragged</span>, 140
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">text width</span>, 139
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">top</span>, 237
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">top color</span>, 129
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">transform shape</span>, 143
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">use as bounding box</span>, 130
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">width</span>, 269
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">x</span>, 169, 238
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">xcomb</span>, 111
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">xscale</span>, 171
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">xshift</span>, 171
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">xslant</span>, 172
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">xstep</span>, 102
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">y</span>, 169, 238
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ycomb</span>, 111
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">yscale</span>, 172
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">yshift</span>, 171
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">yslant</span>, 172
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ystep</span>, 102
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">z</span>, 169
-<br><span
-class="cmtt-10">grid </span>path operation, 102
-<br><span
-class="cmtt-10">gridded </span>style, 196
-<br><span
-class="cmtt-10">grow </span>option, 160
-<br><span
-class="cmtt-10">grow cyclic </span>style, 192
-<br><span
-class="cmtt-10">grow via three points </span>option, 191
-<br><span
-class="cmtt-10">grow' </span>option, 161
-<br><span
-class="cmtt-10">growth function </span>option, 161
-<br></p><p class="theindex">
- <span
-class="cmtt-10">help lines </span>style, 103
-<br><span
-class="cmtt-10">hooks </span>arrow tip, 176
-<br><span
-class="cmtt-10">hooks reversed </span>arrow tip, 176
-<br></p><p class="theindex">
- <span
-class="cmtt-10">id </span>option, 109
-<br><span
-class="cmtt-10">\ifpgfresetnontranslationsattime</span>, 323
-<br><span
-class="cmtt-10">\ifpgfslopedattime</span>, 323
-<br><span
-class="cmtt-10">\ifpgfsys@eorule</span>, 374
-<br><span
-class="cmtt-10">\inheritanchor</span>, 312
-<br><span
-class="cmtt-10">\inheritanchorborder</span>, 312
-<br><span
-class="cmtt-10">\inheritbackgroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritbeforebackgroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritbeforeforegroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritbehindbackgroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritbehindforegroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritforegroundpath</span>, 311
-<br><span
-class="cmtt-10">\inheritsavedanchors</span>, 311
-<br><span
-class="cmtt-10">inner color </span>option, 129
-<br><span
-class="cmtt-10">inner frame sep </span>option, 194
-<br><span
-class="cmtt-10">inner frame xsep </span>option, 194
-<br><span
-class="cmtt-10">inner frame ysep </span>option, 194
-<br><span
-class="cmtt-10">inner sep </span>option, 147
-<br><span
-class="cmtt-10">inner xsep </span>option, 148
-<br><span
-class="cmtt-10">inner ysep </span>option, 148
-<br></p><p class="theindex">
- <span
-class="cmtt-10">join </span>option, 119
-<br></p><p class="theindex">
- <span
-class="cmtt-10">latex </span>arrow tip, 295
-<br><span
-class="cmtt-10">latex reversed </span>arrow tip, 295
-<br><span
-class="cmtt-10">latex' </span>arrow tip, 176
-<br><span
-class="cmtt-10">latex' reversed </span>arrow tip, 176
-<br>Layout, <span
-class="cmti-10">see </span>Page layout
-<br><span
-class="cmtt-10">left </span>option, 142, 237
-<br><span
-class="cmtt-10">left color </span>option, 129
-<br><span
-class="cmtt-10">left hook </span>arrow tip, 177
-<br><span
-class="cmtt-10">left hook reversed </span>arrow tip, 177
-
-
-<br><span
-class="cmtt-10">left to </span>arrow tip, 177
-<br><span
-class="cmtt-10">left to reversed </span>arrow tip, 177
-<br><span
-class="cmtt-10">level </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">number</span><span
-class="cmsy-10">&gt; </span>style, 156
-<br><span
-class="cmtt-10">level distance </span>option, 158
-<br><span
-class="cmtt-10">line after snake </span>option, 96
-<br><span
-class="cmtt-10">line around snake </span>option, 96
-<br><span
-class="cmtt-10">line before snake </span>option, 95
-<br><span
-class="cmtt-10">line width </span>option, 118
-<br><span
-class="cmtt-10">lineto </span>snake, 272
-<br><span
-class="cmtt-10">loose background </span>style, 194
-<br><span
-class="cmtt-10">loosely dashed </span>style, 120
-<br><span
-class="cmtt-10">loosely dotted </span>style, 120
-<br></p><p class="theindex">
- <span
-class="cmtt-10">mark </span>option, 109
-<br><span
-class="cmtt-10">mark options </span>option, 110
-<br><span
-class="cmtt-10">mark size </span>option, 110
-<br><span
-class="cmtt-10">middle color </span>option, 129
-<br><span
-class="cmtt-10">midway </span>style, 145
-<br><span
-class="cmtt-10">minimum height </span>option, 148
-<br><span
-class="cmtt-10">minimum size </span>option, 149
-<br><span
-class="cmtt-10">minimum width </span>option, 148
-<br><span
-class="cmtt-10">mirror snake </span>option, 96
-<br><span
-class="cmtt-10">miter limit </span>option, 119
-<br><span
-class="cmtt-10">moveto </span>snake, 272
-<br></p><p class="theindex">
- <span
-class="cmtt-10">name </span>option, 135
-<br><span
-class="cmtt-10">near end </span>style, 146
-<br><span
-class="cmtt-10">near start </span>style, 146
-<br><span
-class="cmtt-10">nearly opaque </span>style, 122
-<br><span
-class="cmtt-10">nearly transparent </span>style, 121
-<br><span
-class="cmtt-10">next state </span>option, 269
-<br><span
-class="cmtt-10">\node</span>, 116
-<br><span
-class="cmtt-10">node </span>path operation, 135
-<br><span
-class="cmtt-10">\nodepart</span>, 137
-<br><span
-class="cmtt-10">\nodeparts</span>, 306
-<br><span
-class="cmtt-10">nonzero rule </span>option, 125
-<br></p><p class="theindex">
- <span
-class="cmtt-10">o </span>arrow tip, 177
-<br><span
-class="cmtt-10">o </span>plot mark, 187
-<br><span
-class="cmtt-10">only marks </span>option, 112
-<br><span
-class="cmtt-10">opacity </span>option, 121
-<br><span
-class="cmtt-10">opaque </span>style, 122
-<br><span
-class="cmtt-10">open diamond </span>arrow tip, 177
-<br><span
-class="cmtt-10">open triangle 45 </span>arrow tip, 176
-<br><span
-class="cmtt-10">open triangle 45 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">open triangle 60 </span>arrow tip, 176
-<br><span
-class="cmtt-10">open triangle 60 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">open triangle 90 </span>arrow tip, 176
-<br><span
-class="cmtt-10">open triangle 90 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">oplus </span>plot mark, 187
-<br><span
-class="cmtt-10">oplus* </span>plot mark, 187
-<br>Options for graphics, <span
-class="cmti-10">see </span>Graphic options
-<br>Options for packages, <span
-class="cmti-10">see </span>Package options
-<br><span
-class="cmtt-10">otimes </span>plot mark, 187
-<br><span
-class="cmtt-10">otimes* </span>plot mark, 187
-
-
-<br><span
-class="cmtt-10">outer color </span>option, 130
-<br><span
-class="cmtt-10">outer frame sep </span>option, 196
-<br><span
-class="cmtt-10">outer frame xsep </span>option, 196
-<br><span
-class="cmtt-10">outer frame ysep </span>option, 196
-<br><span
-class="cmtt-10">outer sep </span>option, 148
-<br><span
-class="cmtt-10">outer xsep </span>option, 148
-<br><span
-class="cmtt-10">outer ysep </span>option, 148
-<br></p><p class="theindex">
- Package options for <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">draft</span>, 231, 330
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">version=</span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">version</span><span
-class="cmsy-10">&gt;</span>, 231
-<br>Packages and files
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgf</span>, 231
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgf.cfg</span>, 363
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfbaseimage</span>, 330
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfbaselayers</span>, 353
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfbaseplot</span>, 345
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfbaseshapes</span>, 298
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfcore</span>, 232
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibraryarrows</span>, 176
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibraryautomata</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibraryplothandlers</span>, 182
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibraryplotmarks</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibraryshapes</span>, 188
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibrarysnakes</span>, 177
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibrarytikzbackgrounds</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgflibrarytikztrees</span>, 190
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys</span>, 363
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-common-pdf</span>, 364
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-common-postscript</span>, 364
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-dvipdfm.def</span>, 64
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-dvips.def</span>, 65
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-pdftex.def</span>, 64
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-tex4ht.def</span>, 65
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-textures.def</span>, 65
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pgfsys-vtex.def</span>, 64
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">tikz</span>, 75
-<br>Page layouts
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">16 on 1</span>, 211
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">2 on 1</span>, 211
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">4 on 1</span>, 211
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">8 on 1</span>, 211
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">resize to</span>, 210
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rounded corners</span>, 211
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">two screens with lagging second</span>, 212
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">two screens with optional second</span>, 212
-<br><span
-class="cmtt-10">parabola </span>path operation, 103
-<br><span
-class="cmtt-10">parabola height </span>option, 104
-<br><span
-class="cmtt-10">parametric </span>option, 108
-<br><span
-class="cmtt-10">parent anchor </span>option, 163
-<br><span
-class="cmtt-10">\path</span>, 91
-<br>Path operations
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">--</span>, 93
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">-|</span>, 93
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">|-</span>, 94
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">--cycle</span>, 99
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">--plot</span>, 105
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">..</span>, 99
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">arc</span>, 101
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">child</span>, 152
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">circle</span>, 101
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">coordinate</span>, 137
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">cos</span>, 105
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent</span>, 162
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ellipse</span>, 101
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">empty</span><span
-class="cmsy-10">&gt;</span>, 92
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">grid</span>, 102
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">node</span>, 135
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">parabola</span>, 103
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">plot</span>, 106
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rectangle</span>, 100
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">sin</span>, 105
-<br><span
-class="cmtt-10">pentagon </span>plot mark, 187
-<br><span
-class="cmtt-10">pentagon* </span>plot mark, 187
-<br><span
-class="cmtt-10">pgf </span>package, 231
-<br><span
-class="cmtt-10">pgf.cfg </span>file, 363
-<br><span
-class="cmtt-10">\pgf@pathmaxx</span>, 263
-<br><span
-class="cmtt-10">\pgf@pathmaxy</span>, 263
-<br><span
-class="cmtt-10">\pgf@pathminx</span>, 263
-<br><span
-class="cmtt-10">\pgf@pathminy</span>, 263
-<br><span
-class="cmtt-10">\pgf@picmaxx</span>, 263
-<br><span
-class="cmtt-10">\pgf@picmaxy</span>, 264
-<br><span
-class="cmtt-10">\pgf@picminx</span>, 263
-<br><span
-class="cmtt-10">\pgf@picminy</span>, 263
-<br><span
-class="cmtt-10">\pgf@process</span>, 249
-<br><span
-class="cmtt-10">\pgf@protocolsizes</span>, 264
-<br><span
-class="cmtt-10">\pgf@relevantforpicturesizefalse</span>, 264
-<br><span
-class="cmtt-10">\pgf@relevantforpicturesizetrue</span>, 264
-<br><span
-class="cmtt-10">\pgf@sys@bp</span>, 380
-<br><span
-class="cmtt-10">\pgfaliasimage</span>, 331
-<br><span
-class="cmtt-10">\pgfalternateextension</span>, 333
-<br><span
-class="cmtt-10">\pgfarrowsdeclare</span>, 288
-<br><span
-class="cmtt-10">\pgfarrowsdeclarealias</span>, 292
-<br><span
-class="cmtt-10">\pgfarrowsdeclarecombine</span>, 292
-<br><span
-class="cmtt-10">\pgfarrowsdeclaredouble</span>, 293
-<br><span
-class="cmtt-10">\pgfarrowsdeclarereversed</span>, 292
-<br><span
-class="cmtt-10">\pgfarrowsdeclaretriple</span>, 294
-<br><span
-class="cmtt-10">pgfbaseimage </span>package, 330
-<br><span
-class="cmtt-10">pgfbaselayers </span>package, 353
-<br><span
-class="cmtt-10">pgfbaseplot </span>package, 345
-<br><span
-class="cmtt-10">pgfbaseshapes </span>package, 298
-<br><span
-class="cmtt-10">pgfcore </span>package, 232
-<br><span
-class="cmtt-10">\pgfdeclarehorizontalshading</span>, 338
-<br><span
-class="cmtt-10">\pgfdeclareimage</span>, 331
-<br><span
-class="cmtt-10">\pgfdeclarelayer</span>, 353
-<br><span
-class="cmtt-10">\pgfdeclaremask</span>, 334
-<br><span
-class="cmtt-10">\pgfdeclareplotmark</span>, 186
-<br><span
-class="cmtt-10">\pgfdeclareradialshading</span>, 339
-<br><span
-class="cmtt-10">\pgfdeclareshape</span>, 306
-<br><span
-class="cmtt-10">\pgfdeclaresnake</span>, 268
-<br><span
-class="cmtt-10">\pgfdeclareverticalshading</span>, 339
-<br><span
-class="cmtt-10">\pgfextractx</span>, 249
-<br><span
-class="cmtt-10">\pgfextracty</span>, 249
-<br><span
-class="cmtt-10">\pgfgettransform</span>, 325
-<br><span
-class="cmtt-10">\pgfimage</span>, 333
-
-
-<br><span
-class="cmtt-10">pgfinterruptpath </span>environment, 236
-<br><span
-class="cmtt-10">pgfinterruptpicture </span>environment, 236
-<br><span
-class="cmtt-10">pgflibraryarrows </span>package, 176
-<br><span
-class="cmtt-10">pgflibraryautomata </span>package, 197
-<br><span
-class="cmtt-10">pgflibraryplothandlers </span>package, 182
-<br><span
-class="cmtt-10">pgflibraryplotmarks </span>package, 187
-<br><span
-class="cmtt-10">pgflibraryshapes </span>package, 188
-<br><span
-class="cmtt-10">pgflibrarysnakes </span>package, 177
-<br><span
-class="cmtt-10">pgflibrarytikzbackgrounds </span>package, 194
-<br><span
-class="cmtt-10">pgflibrarytikztrees </span>package, 190
-<br><span
-class="cmtt-10">\pgflinewidth</span>, 278
-<br><span
-class="cmtt-10">\pgflowlevel</span>, 326
-<br><span
-class="cmtt-10">\pgflowlevelobj</span>, 326
-<br><span
-class="cmtt-10">pgflowlevelscope </span>environment, 327
-<br><span
-class="cmtt-10">\pgflowlevelsynccm</span>, 326
-<br><span
-class="cmtt-10">\pgfmultipartnode</span>, 301
-<br><span
-class="cmtt-10">\pgfnode</span>, 300
-<br><span
-class="cmtt-10">pgfonlayer </span>environment, 354, 355
-<br><span
-class="cmtt-10">\pgfpagescurrentpagewillbelogicalpage</span>, 217
-<br><span
-class="cmtt-10">\pgfpagesdeclarelayout</span>, 212
-<br><span
-class="cmtt-10">\pgfpageslogicalpageoptions</span>, 214
-<br><span
-class="cmtt-10">\pgfpagesphysicalpageoptions</span>, 213
-<br><span
-class="cmtt-10">\pgfpagesshipoutlogicalpage</span>, 216
-<br><span
-class="cmtt-10">\pgfpagesuselayout</span>, 210
-<br><span
-class="cmtt-10">\pgfpatharc</span>, 256
-<br><span
-class="cmtt-10">\pgfpathcirlce</span>, 258
-<br><span
-class="cmtt-10">\pgfpathclose</span>, 255
-<br><span
-class="cmtt-10">\pgfpathcosine</span>, 261
-<br><span
-class="cmtt-10">\pgfpathcurveto</span>, 255
-<br><span
-class="cmtt-10">\pgfpathellipse</span>, 257
-<br><span
-class="cmtt-10">\pgfpathgrid</span>, 259
-<br><span
-class="cmtt-10">\pgfpathlineto</span>, 254
-<br><span
-class="cmtt-10">\pgfpathmoveto</span>, 254
-<br><span
-class="cmtt-10">\pgfpathparabola</span>, 260
-<br><span
-class="cmtt-10">\pgfpathqcircle</span>, 359
-<br><span
-class="cmtt-10">\pgfpathqcurveto</span>, 359
-<br><span
-class="cmtt-10">\pgfpathqlineto</span>, 358
-<br><span
-class="cmtt-10">\pgfpathqmoveto</span>, 358
-<br><span
-class="cmtt-10">\pgfpathrectangle</span>, 258
-<br><span
-class="cmtt-10">\pgfpathrectanglecorners</span>, 258
-<br><span
-class="cmtt-10">\pgfpathsine</span>, 260
-<br><span
-class="cmtt-10">\pgfpathsnakealongvector</span>, 272
-<br><span
-class="cmtt-10">\pgfpathsnakesto</span>, 272
-<br><span
-class="cmtt-10">\pgfpathsnaketo</span>, 273
-<br><span
-class="cmtt-10">pgfpicture </span>environment, 233, 234
-<br><span
-class="cmtt-10">\pgfplotgnuplot</span>, 348
-<br><span
-class="cmtt-10">\pgfplothandlerclosedcurve</span>, 183
-<br><span
-class="cmtt-10">\pgfplothandlercurveto</span>, 182
-<br><span
-class="cmtt-10">\pgfplothandlerdiscard</span>, 350
-<br><span
-class="cmtt-10">\pgfplothandlerlineto</span>, 349
-<br><span
-class="cmtt-10">\pgfplothandlermark</span>, 185
-<br><span
-class="cmtt-10">\pgfplothandlerpolarcomb</span>, 184
-<br><span
-class="cmtt-10">\pgfplothandlerrecord</span>, 350
-<br><span
-class="cmtt-10">\pgfplothandlerxcomb</span>, 184
-<br><span
-class="cmtt-10">\pgfplothandlerycomb</span>, 184
-<br><span
-class="cmtt-10">\pgfplotmarksize</span>, 187
-<br><span
-class="cmtt-10">\pgfplotstreamend</span>, 347
-<br><span
-class="cmtt-10">\pgfplotstreampoint</span>, 347
-
-
-<br><span
-class="cmtt-10">\pgfplotstreamstart</span>, 347
-<br><span
-class="cmtt-10">\pgfplotxyfile</span>, 347
-<br><span
-class="cmtt-10">\pgfplotxyzfile</span>, 348
-<br><span
-class="cmtt-10">\pgfpoint</span>, 241
-<br><span
-class="cmtt-10">\pgfpointadd</span>, 244
-<br><span
-class="cmtt-10">\pgfpointanchor</span>, 303
-<br><span
-class="cmtt-10">\pgfpointborderellipse</span>, 248
-<br><span
-class="cmtt-10">\pgfpointborderrectangle</span>, 247
-<br><span
-class="cmtt-10">\pgfpointcurveattime</span>, 246
-<br><span
-class="cmtt-10">\pgfpointdiff</span>, 244
-<br><span
-class="cmtt-10">\pgfpointintersectionoflines</span>, 248
-<br><span
-class="cmtt-10">\pgfpointlineatdistance</span>, 246
-<br><span
-class="cmtt-10">\pgfpointlineattime</span>, 245
-<br><span
-class="cmtt-10">\pgfpointnormalised</span>, 245
-<br><span
-class="cmtt-10">\pgfpointorigin</span>, 241
-<br><span
-class="cmtt-10">\pgfpointpolar</span>, 241
-<br><span
-class="cmtt-10">\pgfpointscale</span>, 244
-<br><span
-class="cmtt-10">\pgfpointshapeborder</span>, 304
-<br><span
-class="cmtt-10">\pgfpointxy</span>, 242
-<br><span
-class="cmtt-10">\pgfpointxyz</span>, 242
-<br><span
-class="cmtt-10">\pgfqbox</span>, 360
-<br><span
-class="cmtt-10">\pgfqboxsynced</span>, 360
-<br><span
-class="cmtt-10">pgfscope </span>environment, 234, 235
-<br><span
-class="cmtt-10">\pgfsetarrows</span>, 281, 295
-<br><span
-class="cmtt-10">\pgfsetarrowsend</span>, 281, 294
-<br><span
-class="cmtt-10">\pgfsetarrowsstart</span>, 281, 294
-<br><span
-class="cmtt-10">\pgfsetbaseline</span>, 234
-<br><span
-class="cmtt-10">\pgfsetbeveljoin</span>, 278
-<br><span
-class="cmtt-10">\pgfsetbuttcap</span>, 278
-<br><span
-class="cmtt-10">\pgfsetcolor</span>, 280
-<br><span
-class="cmtt-10">\pgfsetcornersarced</span>, 262
-<br><span
-class="cmtt-10">\pgfsetdash</span>, 279
-<br><span
-class="cmtt-10">\pgfseteorule</span>, 282
-<br><span
-class="cmtt-10">\pgfsetfillcolor</span>, 283
-<br><span
-class="cmtt-10">\pgfsetfillopacity</span>, 283
-<br><span
-class="cmtt-10">\pgfsetlayers</span>, 354
-<br><span
-class="cmtt-10">\pgfsetlinetofirstplotpoint</span>, 349
-<br><span
-class="cmtt-10">\pgfsetlinewidth</span>, 277
-<br><span
-class="cmtt-10">\pgfsetmiterjoin</span>, 279
-<br><span
-class="cmtt-10">\pgfsetmiterlimit</span>, 279
-<br><span
-class="cmtt-10">\pgfsetmovetofirstplotpoint</span>, 349
-<br><span
-class="cmtt-10">\pgfsetnonzerorule</span>, 282
-<br><span
-class="cmtt-10">\pgfsetplotmarksize</span>, 186
-<br><span
-class="cmtt-10">\pgfsetplottension</span>, 183
-<br><span
-class="cmtt-10">\pgfsetrectcap</span>, 278
-<br><span
-class="cmtt-10">\pgfsetroundcap</span>, 278
-<br><span
-class="cmtt-10">\pgfsetroundjoin</span>, 278
-<br><span
-class="cmtt-10">\pgfsetshapeinnerxsep</span>, 302
-<br><span
-class="cmtt-10">\pgfsetshapeinnerysep</span>, 303
-<br><span
-class="cmtt-10">\pgfsetshapeminheight</span>, 302
-<br><span
-class="cmtt-10">\pgfsetshapeminwidth</span>, 302
-<br><span
-class="cmtt-10">\pgfsetshapeouterxsep</span>, 303
-<br><span
-class="cmtt-10">\pgfsetshapeouterysep</span>, 303
-<br><span
-class="cmtt-10">\pgfsetshortenend</span>, 282
-<br><span
-class="cmtt-10">\pgfsetshortenstart</span>, 281
-<br><span
-class="cmtt-10">\pgfsetsnakesegmenttransformation</span>, 273
-<br><span
-class="cmtt-10">\pgfsetstrokecolor</span>, 279
-<br><span
-class="cmtt-10">\pgfsetstrokeopacity</span>, 280
-
-
-<br><span
-class="cmtt-10">\pgfsettransform</span>, 325
-<br><span
-class="cmtt-10">\pgfsetxvec</span>, 243
-<br><span
-class="cmtt-10">\pgfsetyvec</span>, 243
-<br><span
-class="cmtt-10">\pgfsetzvec</span>, 243
-<br><span
-class="cmtt-10">\pgfshadepath</span>, 340
-<br><span
-class="cmtt-10">\pgfsnakecompleteddistance</span>, 270
-<br><span
-class="cmtt-10">\pgfsnakeremainingdistance</span>, 270
-<br><span
-class="cmtt-10">pgfsys </span>package, 363
-<br><span
-class="cmtt-10">pgfsys-common-pdf </span>file, 364
-<br><span
-class="cmtt-10">pgfsys-common-postscript </span>file, 364
-<br><span
-class="cmtt-10">pgfsys-dvipdfm.def </span>file, 64
-<br><span
-class="cmtt-10">pgfsys-dvips.def </span>file, 65
-<br><span
-class="cmtt-10">pgfsys-pdftex.def </span>file, 64
-<br><span
-class="cmtt-10">pgfsys-tex4ht.def </span>file, 65
-<br><span
-class="cmtt-10">pgfsys-textures.def </span>file, 65
-<br><span
-class="cmtt-10">pgfsys-vtex.def </span>file, 64
-<br><span
-class="cmtt-10">\pgfsys@begininvisible</span>, 380
-<br><span
-class="cmtt-10">\pgfsys@beginpicture</span>, 367
-<br><span
-class="cmtt-10">\pgfsys@beginpurepicture</span>, 367
-<br><span
-class="cmtt-10">\pgfsys@beginscope</span>, 377
-<br><span
-class="cmtt-10">\pgfsys@beveljoin</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@buttcap</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@clipnext</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@closepath</span>, 369
-<br><span
-class="cmtt-10">\pgfsys@closestroke</span>, 371
-<br><span
-class="cmtt-10">\pgfsys@color@cmy</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@cmy@fill</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@cmy@stroke</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@cmyk</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@cmyk@fill</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@cmyk@stroke</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@gray</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@gray@fill</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@gray@stroke</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@reset</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@reset@inorderfalse</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@reset@inordertrue</span>, 376
-<br><span
-class="cmtt-10">\pgfsys@color@rgb</span>, 374
-<br><span
-class="cmtt-10">\pgfsys@color@rgb@fill</span>, 375
-<br><span
-class="cmtt-10">\pgfsys@color@rgb@stroke</span>, 374
-<br><span
-class="cmtt-10">\pgfsys@color@unstacked</span>, 377
-<br><span
-class="cmtt-10">\pgfsys@curveto</span>, 369
-<br><span
-class="cmtt-10">\pgfsys@defineimage</span>, 377
-<br><span
-class="cmtt-10">\pgfsys@definemask</span>, 378
-<br><span
-class="cmtt-10">\pgfsys@defobject</span>, 379
-<br><span
-class="cmtt-10">\pgfsys@discardpath</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@endinvisible</span>, 380
-<br><span
-class="cmtt-10">\pgfsys@endpicture</span>, 367
-<br><span
-class="cmtt-10">\pgfsys@endpurepicture</span>, 368
-<br><span
-class="cmtt-10">\pgfsys@endscope</span>, 377
-<br><span
-class="cmtt-10">\pgfsys@fill</span>, 371
-<br><span
-class="cmtt-10">\pgfsys@fill@opacity</span>, 374
-<br><span
-class="cmtt-10">\pgfsys@fillstroke</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@hbox</span>, 368
-<br><span
-class="cmtt-10">\pgfsys@hboxsynced</span>, 368
-<br><span
-class="cmtt-10">\pgfsys@horishading</span>, 378
-<br><span
-class="cmtt-10">\pgfsys@imagesuffixlist</span>, 377
-<br><span
-class="cmtt-10">\pgfsys@invoke</span>, 379
-
-
-<br><span
-class="cmtt-10">\pgfsys@lineto</span>, 368
-<br><span
-class="cmtt-10">\pgfsys@miterjoin</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@moveto</span>, 368
-<br><span
-class="cmtt-10">\pgfsys@radialshading</span>, 379
-<br><span
-class="cmtt-10">\pgfsys@rect</span>, 369
-<br><span
-class="cmtt-10">\pgfsys@rectcap</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@roundcap</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@roundjoin</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@setdash</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@setlinewidth</span>, 372
-<br><span
-class="cmtt-10">\pgfsys@setmiterlimit</span>, 373
-<br><span
-class="cmtt-10">\pgfsys@stroke</span>, 370
-<br><span
-class="cmtt-10">\pgfsys@stroke@opacity</span>, 374
-<br><span
-class="cmtt-10">\pgfsys@transformcm</span>, 370
-<br><span
-class="cmtt-10">\pgfsys@transformshift</span>, 370
-<br><span
-class="cmtt-10">\pgfsys@transformxyscale</span>, 370
-<br><span
-class="cmtt-10">\pgfsys@typesetpicturebox</span>, 367
-<br><span
-class="cmtt-10">\pgfsys@useobject</span>, 379
-<br><span
-class="cmtt-10">\pgfsys@vertshading</span>, 379
-<br><span
-class="cmtt-10">\pgfsysdriver</span>, 363
-<br><span
-class="cmtt-10">\pgfsysprotocol@bufferedfalse</span>, 389
-<br><span
-class="cmtt-10">\pgfsysprotocol@bufferedtrue</span>, 389
-<br><span
-class="cmtt-10">\pgfsysprotocol@flushcurrentprotocol</span>, 390
-<br><span
-class="cmtt-10">\pgfsysprotocol@getcurrentprotocol</span>, 390
-<br><span
-class="cmtt-10">\pgfsysprotocol@invokecurrentprotocol</span>, 390
-<br><span
-class="cmtt-10">\pgfsysprotocol@literal</span>, 389
-<br><span
-class="cmtt-10">\pgfsysprotocol@literalbuffered</span>, 389
-<br><span
-class="cmtt-10">\pgfsysprotocol@setcurrentprotocol</span>, 390
-<br><span
-class="cmtt-10">\pgfsyssoftpath@closepath</span>, 385
-<br><span
-class="cmtt-10">\pgfsyssoftpath@curveto</span>, 385
-<br><span
-class="cmtt-10">\pgfsyssoftpath@flushcurrentpath</span>, 384
-<br><span
-class="cmtt-10">\pgfsyssoftpath@getcurrentpath</span>, 384
-<br><span
-class="cmtt-10">\pgfsyssoftpath@invokecurrentpath</span>, 384
-<br><span
-class="cmtt-10">\pgfsyssoftpath@lineto</span>, 385
-<br><span
-class="cmtt-10">\pgfsyssoftpath@moveto</span>, 384
-<br><span
-class="cmtt-10">\pgfsyssoftpath@rect</span>, 385
-<br><span
-class="cmtt-10">\pgfsyssoftpath@setcurrentpath</span>, 384
-<br><span
-class="cmtt-10">\pgftext</span>, 237
-<br><span
-class="cmtt-10">\pgftransformarrow</span>, 321
-<br><span
-class="cmtt-10">\pgftransformcm</span>, 320
-<br><span
-class="cmtt-10">\pgftransformcurveattime</span>, 322
-<br><span
-class="cmtt-10">\pgftransforminvert</span>, 324
-<br><span
-class="cmtt-10">\pgftransformlineattime</span>, 321
-<br><span
-class="cmtt-10">\pgftransformreset</span>, 323
-<br><span
-class="cmtt-10">\pgftransformresetnontranslations</span>, 324
-<br><span
-class="cmtt-10">\pgftransformrotate</span>, 320
-<br><span
-class="cmtt-10">\pgftransformscale</span>, 319
-<br><span
-class="cmtt-10">\pgftransformshift</span>, 318
-<br><span
-class="cmtt-10">\pgftransformxscale</span>, 319
-<br><span
-class="cmtt-10">\pgftransformxshift</span>, 318
-<br><span
-class="cmtt-10">\pgftransformxslant</span>, 319
-<br><span
-class="cmtt-10">\pgftransformyscale</span>, 319
-<br><span
-class="cmtt-10">\pgftransformyshift</span>, 318
-<br><span
-class="cmtt-10">\pgftransformyslant</span>, 320
-<br><span
-class="cmtt-10">\pgfuseimage</span>, 332
-<br><span
-class="cmtt-10">\pgfusepath</span>, 276
-<br><span
-class="cmtt-10">\pgfusepathqclip</span>, 360
-<br><span
-class="cmtt-10">\pgfusepathqfill</span>, 360
-
-
-<br><span
-class="cmtt-10">\pgfusepathqfillstroke</span>, 360
-<br><span
-class="cmtt-10">\pgfusepathqstroke</span>, 360
-<br><span
-class="cmtt-10">\pgfuseplotmark</span>, 185
-<br><span
-class="cmtt-10">\pgfuseshading</span>, 340
-<br><span
-class="cmtt-10">plot </span>path operation, 106
-<br>Plot marks
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">|</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">+</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">-</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">asterisk</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ball</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">diamond</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">diamond*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">o</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">oplus</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">oplus*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">otimes</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">otimes*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pentagon</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">pentagon*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">square</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">square*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">star</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangle*</span>, 187
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">x</span>, 187
-<br><span
-class="cmtt-10">polar comb </span>option, 112
-<br><span
-class="cmtt-10">pos </span>option, 144
-<br><span
-class="cmtt-10">prefix </span>option, 109
-<br></p><p class="theindex">
- <span
-class="cmtt-10">raise snake </span>option, 96
-<br><span
-class="cmtt-10">raw gnuplot </span>option, 109
-<br><span
-class="cmtt-10">rectangle </span>path operation, 100
-<br><span
-class="cmtt-10">rectangle </span>shape, 313
-<br><span
-class="cmtt-10">reset cm </span>option, 173
-<br><span
-class="cmtt-10">resize to </span>layout, 210
-<br><span
-class="cmtt-10">right </span>option, 143, 237
-<br><span
-class="cmtt-10">right color </span>option, 129
-<br><span
-class="cmtt-10">right hook </span>arrow tip, 177
-<br><span
-class="cmtt-10">right hook reversed </span>arrow tip, 177
-<br><span
-class="cmtt-10">right to </span>arrow tip, 177
-<br><span
-class="cmtt-10">right to reversed </span>arrow tip, 177
-<br><span
-class="cmtt-10">rotate </span>option, 172, 238
-<br><span
-class="cmtt-10">rotate around </span>option, 173
-<br><span
-class="cmtt-10">round cap </span>arrow tip, 177
-<br><span
-class="cmtt-10">rounded corners </span>layout, 211
-<br><span
-class="cmtt-10">rounded corners </span>option, 100
-<br></p><p class="theindex">
- <span
-class="cmtt-10">samples </span>option, 108
-<br><span
-class="cmtt-10">\savedanchor</span>, 307
-<br><span
-class="cmtt-10">\saveddimen</span>, 308
-<br><span
-class="cmtt-10">saw </span>snake, 180
-<br><span
-class="cmtt-10">scale </span>option, 171
-<br><span
-class="cmtt-10">scope </span>environment, 78, 79
-<br><span
-class="cmtt-10">segment amplitude </span>option, 96
-
-
-<br><span
-class="cmtt-10">segment angle </span>option, 97
-<br><span
-class="cmtt-10">segment aspect </span>option, 98
-<br><span
-class="cmtt-10">segment length </span>option, 97
-<br><span
-class="cmtt-10">segment object length </span>option, 97
-<br><span
-class="cmtt-10">semithick </span>style, 118
-<br><span
-class="cmtt-10">semitransparent </span>style, 122
-<br><span
-class="cmtt-10">set style </span>option, 80
-<br><span
-class="cmtt-10">\shade</span>, 116
-<br><span
-class="cmtt-10">shade </span>option, 127
-<br><span
-class="cmtt-10">\shadedraw</span>, 116
-<br><span
-class="cmtt-10">shading </span>option, 128
-<br><span
-class="cmtt-10">shading angle </span>option, 128
-<br><span
-class="cmtt-10">shape </span>option, 136
-<br>Shapes
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">circle</span>, 313
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">coordinate</span>, 313
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">cross out</span>, 188
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ellipse</span>, 189
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">forbidden sign</span>, 189
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">rectangle</span>, 313
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">state</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">state with output</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">strike out</span>, 190
-<br><span
-class="cmtt-10">sharp corners </span>option, 101
-<br><span
-class="cmtt-10">sharp plot </span>option, 110
-<br><span
-class="cmtt-10">shift </span>option, 171
-<br><span
-class="cmtt-10">shorten &lt; </span>option, 124
-<br><span
-class="cmtt-10">shorten &gt; </span>option, 123
-<br><span
-class="cmtt-10">show background bottom </span>style, 197
-<br><span
-class="cmtt-10">show background grid </span>style, 195
-<br><span
-class="cmtt-10">show background left </span>style, 197
-<br><span
-class="cmtt-10">show background rectangle </span>style, 194
-<br><span
-class="cmtt-10">show background right </span>style, 197
-<br><span
-class="cmtt-10">show background top </span>style, 196
-<br><span
-class="cmtt-10">sibling angle </span>option, 192
-<br><span
-class="cmtt-10">sibling distance </span>option, 159
-<br><span
-class="cmtt-10">sin </span>path operation, 105
-<br><span
-class="cmtt-10">sloped </span>option, 145
-<br><span
-class="cmtt-10">smooth </span>option, 110
-<br><span
-class="cmtt-10">smooth cycle </span>option, 111
-<br><span
-class="cmtt-10">snake </span>option, 95
-<br><span
-class="cmtt-10">snake </span>snake, 180
-<br><span
-class="cmtt-10">snake triangles 45 </span>style, 98
-<br><span
-class="cmtt-10">snake triangles 60 </span>style, 98
-<br><span
-class="cmtt-10">snake triangles 90 </span>style, 98
-<br>Snakes
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">border</span>, 178
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">brace</span>, 178
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bumps</span>, 178
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">coil</span>, 179
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">expanding waves</span>, 179
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">lineto</span>, 272
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">moveto</span>, 272
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">saw</span>, 180
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">snake</span>, 180
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ticks</span>, 180
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">triangles</span>, 181
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">waves</span>, 181
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">zigzag</span>, 181
-<br><span
-class="cmtt-10">solid </span>style, 120
-<br><span
-class="cmtt-10">square </span>plot mark, 187
-<br><span
-class="cmtt-10">square* </span>plot mark, 187
-<br><span
-class="cmtt-10">star </span>plot mark, 187
-<br><span
-class="cmtt-10">\state</span>, 269
-<br><span
-class="cmtt-10">state </span>shape, 197
-<br><span
-class="cmtt-10">state with output </span>shape, 197
-<br><span
-class="cmtt-10">stealth </span>arrow tip, 295
-<br><span
-class="cmtt-10">stealth reversed </span>arrow tip, 295
-<br><span
-class="cmtt-10">stealth' </span>arrow tip, 176
-<br><span
-class="cmtt-10">stealth' reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">step </span>option, 102, 259
-<br><span
-class="cmtt-10">stepx </span>option, 259
-<br><span
-class="cmtt-10">stepy </span>option, 259
-<br><span
-class="cmtt-10">strike out </span>shape, 190
-<br><span
-class="cmtt-10">style </span>option, 79
-<br>Styles
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">at end</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">at start</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">background grid</span>, 195
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">background rectangle</span>, 195
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">background top</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bend at end</span>, 104
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">bend at start</span>, 104
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">dashed</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">densely dashed</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">densely dotted</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">dotted</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent</span>, 163
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent fork down</span>, 193
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent fork left</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent fork right</span>, 193
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">edge from parent fork up</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">part name</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node part</span>, 138
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">shape</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node</span>, 137
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every child</span>, 156
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every child node</span>, 156
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every node</span>, 136
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every path</span>, 92
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every picture</span>, 77
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every plot</span>, 109
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">every scope</span>, 78
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">framed</span>, 195
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">gridded</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">grow cyclic</span>, 192
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">help lines</span>, 103
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">level </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">number</span><span
-class="cmsy-10">&gt;</span>, 156
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">loose background</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">loosely dashed</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">loosely dotted</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">midway</span>, 145
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">near end</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">near start</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">nearly opaque</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">nearly transparent</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">opaque</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">semithick</span>, 118
-
-
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">semitransparent</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background bottom</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background grid</span>, 195
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background left</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background rectangle</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background right</span>, 197
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">show background top</span>, 196
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">snake triangles 45</span>, 98
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">snake triangles 60</span>, 98
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">snake triangles 90</span>, 98
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">solid</span>, 120
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">thick</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">thin</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">tight background</span>, 194
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">transparent</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ultra nearly opaque</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ultra nearly transparent</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ultra thick</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">ultra thin</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very near end</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very near start</span>, 146
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very nearly opaque</span>, 122
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very nearly transparent</span>, 121
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very thick</span>, 118
-<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
-class="cmtt-10">very thin</span>, 118
-<br><span
-class="cmtt-10">switch if less than </span>option, 269
-<br></p><p class="theindex">
- <span
-class="cmtt-10">tension </span>option, 110
-<br><span
-class="cmtt-10">text </span>option, 138
-<br><span
-class="cmtt-10">text badly centered </span>option, 141
-<br><span
-class="cmtt-10">text badly ragged </span>option, 140
-<br><span
-class="cmtt-10">text centered </span>option, 140
-<br><span
-class="cmtt-10">text justified </span>option, 140
-<br><span
-class="cmtt-10">text opacity </span>option, 138
-<br><span
-class="cmtt-10">text ragged </span>option, 140
-<br><span
-class="cmtt-10">text width </span>option, 139
-<br><span
-class="cmtt-10">thick </span>style, 118
-<br><span
-class="cmtt-10">thin </span>style, 118
-<br><span
-class="cmtt-10">ticks </span>snake, 180
-<br><span
-class="cmtt-10">tight background </span>style, 194
-<br><span
-class="cmtt-10">\tikz</span>, 77, 78
-<br><span
-class="cmtt-10">tikz </span>package, 75
-<br><span
-class="cmtt-10">tikzpicture </span>environment, 76, 77
-<br><span
-class="cmtt-10">\tikzstyle</span>, 80
-<br><span
-class="cmtt-10">to </span>arrow tip, 295
-<br><span
-class="cmtt-10">to reversed </span>arrow tip, 295
-<br><span
-class="cmtt-10">top </span>option, 237
-<br><span
-class="cmtt-10">top color </span>option, 129
-<br><span
-class="cmtt-10">transform shape </span>option, 143
-<br><span
-class="cmtt-10">transparent </span>style, 121
-<br><span
-class="cmtt-10">triangle </span>plot mark, 187
-<br><span
-class="cmtt-10">triangle 45 </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle 45 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle 60 </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle 60 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle 90 </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle 90 cap </span>arrow tip, 177
-
-
-<br><span
-class="cmtt-10">triangle 90 cap reversed </span>arrow tip, 177
-<br><span
-class="cmtt-10">triangle 90 reversed </span>arrow tip, 176
-<br><span
-class="cmtt-10">triangle* </span>plot mark, 187
-<br><span
-class="cmtt-10">triangles </span>snake, 181
-<br><span
-class="cmtt-10">two screens with lagging second </span>layout, 212
-<br><span
-class="cmtt-10">two screens with optional second </span>layout, 212
-<br></p><p class="theindex">
- <span
-class="cmtt-10">ultra nearly opaque </span>style, 122
-<br><span
-class="cmtt-10">ultra nearly transparent </span>style, 121
-<br><span
-class="cmtt-10">ultra thick </span>style, 118
-<br><span
-class="cmtt-10">ultra thin </span>style, 118
-<br><span
-class="cmtt-10">use as bounding box </span>option, 130
-<br><span
-class="cmtt-10">\useasboundingbox</span>, 116
-<br></p><p class="theindex">
- <span
-class="cmtt-10">version=</span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">version</span><span
-class="cmsy-10">&gt; </span>package option, 231
-<br><span
-class="cmtt-10">very near end </span>style, 146
-<br><span
-class="cmtt-10">very near start </span>style, 146
-<br><span
-class="cmtt-10">very nearly opaque </span>style, 122
-<br><span
-class="cmtt-10">very nearly transparent </span>style, 121
-<br><span
-class="cmtt-10">very thick </span>style, 118
-<br><span
-class="cmtt-10">very thin </span>style, 118
-<br></p><p class="theindex">
- <span
-class="cmtt-10">waves </span>snake, 181
-<br><span
-class="cmtt-10">width </span>option, 269
-<br></p><p class="theindex">
- <span
-class="cmtt-10">x </span>option, 169, 238
-<br><span
-class="cmtt-10">x </span>plot mark, 187
-<br><span
-class="cmtt-10">xcomb </span>option, 111
-<br><span
-class="cmtt-10">xscale </span>option, 171
-<br><span
-class="cmtt-10">xshift </span>option, 171
-<br><span
-class="cmtt-10">xslant </span>option, 172
-<br><span
-class="cmtt-10">xstep </span>option, 102
-<br></p><p class="theindex">
- <span
-class="cmtt-10">y </span>option, 169, 238
-<br><span
-class="cmtt-10">ycomb </span>option, 111
-<br><span
-class="cmtt-10">yscale </span>option, 172
-<br><span
-class="cmtt-10">yshift </span>option, 171
-<br><span
-class="cmtt-10">yslant </span>option, 172
-<br><span
-class="cmtt-10">ystep </span>option, 102
-<br></p><p class="theindex">
- <span
-class="cmtt-10">z </span>option, 169
-<br><span
-class="cmtt-10">zigzag </span>snake, 181
-<br></p></div>
-
-</body></html>
-
-
-
-
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual.tex b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual.tex
index 7d8c454a8e5..4bc4b274f71 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual.tex
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual.tex
@@ -1,10 +1,13 @@
-\documentclass{ltxdoc}
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\documentclass{ltxdoc}
% pgf version is defined in \pgfversion in file
% generic/pgf/utilities/pgfrcs.code.tex
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>1 Introduction</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse2.html" >next</a>] [<a
-href="#tailpgfmanualse1.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse1.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">1 </span> <a
- id="x2-30001"></a>Introduction</h3>
-<!--l. 11--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package, where &#8220;<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8221; is supposed to mean &#8220;portable graphics format&#8221; (or &#8220;pretty, good, functional&#8221; if
-you prefer...), is a package for creating graphics in an &#8220;inline&#8221; manner. The package defines a number of
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;commands that draw graphics. For example, the code <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\draw</span><span
-class="cmtt-10">&nbsp;(0pt,0pt)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(20pt,6pt);</span></span></span> yields the
-line <object data="pgfmanual-3.svg" width="28.19987 " height="9.53328 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and the code <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\fill[orange]</span><span
-class="cmtt-10">&nbsp;(1ex,1ex)</span><span
-class="cmtt-10">&nbsp;circle</span><span
-class="cmtt-10">&nbsp;(1ex);</span></span></span> yields <object data="pgfmanual-4.svg" width="12.4814 " height="12.4814 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.
-<!--l. 20--><p class="indent"> In a sense, when using <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;you &#8220;program&#8221; your graphics, just as you &#8220;program&#8221; your document
-when using <span class="TEX">T<span
-class="E">E</span>X</span>. This means that you get the advantages of the &#8220;<span class="TEX">T<span
-class="E">E</span>X</span>-approach to typesetting&#8221;
-also for your graphics: quick creation of simple graphics, precise positioning, the use of macros, often
-superior typography. You also inherit all the disadvantages: steep learning curve, no <span
-class="cmcsc-10"><small
-class="small-caps">W</small><small
-class="small-caps">Y</small><small
-class="small-caps">S</small><small
-class="small-caps">I</small><small
-class="small-caps">W</small><small
-class="small-caps">Y</small><small
-class="small-caps">G</small></span>, small
-changes require a long recompilation time, and the code does not really &#8220;show&#8221; how things will look
-like.
-<!--l. 31--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">1.1 </span> <a
- id="x2-40001.1"></a>Structure of the System</h4>
-<!--l. 33--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system consists of different layers:
-<!--l. 35--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="cmbx-10">System layer:</span> </dt><dd
-class="description">This layer provides a complete abstraction of what is going on &#8220;in the driver.&#8221; The driver
- is a program like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span> that takes a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file as input and generates a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span> or a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> file.
- (The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> program also counts as a driver, even though it does not take a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file as input. Never
- mind.) Each driver has its own syntax for the generation of graphics, causing headaches to everyone
- who wants to create graphics in a portable way. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s system layer &#8220;abstracts away&#8221; these differences.
- For example, the system command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@lineto{10pt}{10pt}</span></span></span> extends the current path to the
- coordinate (10pt<span
-class="cmmi-10">,</span>10pt) of the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. Depending on whether <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span>, or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> is used to process the document, the system command will be converted to different <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span>
- commands.
- <!--l. 51--><p class="noindent">The system layer is as &#8220;minimalistic&#8221; as possible since each additional command makes it more work to
- port <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to a new driver. Currently, only drivers that produce PostScript or <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>output are supported
- and only few of these (hence the name <span
-class="cmti-10">portable </span>graphics format is currently a bit boastful). However,
- in principle, the system layer could be ported to many different drivers quite easily. It should even be
- possible to produce, say, <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>output in conjunction with <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">E</small><small
-class="small-caps">X</small>4<small
-class="small-caps">H</small><small
-class="small-caps">T</small></span>.
- <!--l. 61--><p class="noindent">As a user, you will not use the system layer directly.
- </dd><dt class="description">
-<span
-class="cmbx-10">Basic layer:</span> </dt><dd
-class="description">The basic layer provides a set of basic commands that allow you to produce complex graphics
- in a much easier way than by using the system layer directly. For example, the system layer provides no
- commands for creating circles since circles can be composed from the more basic B&eacute;zier curves (well,
- almost). However, as a user you will want to have a simple command to create circles (at least I do)
- instead of having to write down half a page of B&eacute;zier curve support coordinates. Thus, the basic layer
- provides a command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathcircle</span></span></span> that generates the necessary curve coordinates for you.
- <!--l. 74--><p class="noindent">The basic layer is consists of a <span
-class="cmti-10">core</span>, which consists of several interdependent packages that can only be
- loaded <span
-class="cmti-10">en bloc, </span>and additional packages that extend the core by more special-purpose commands like
- node management or a plotting interface. For instance, the <span
-class="cmcsc-10"><small
-class="small-caps">B</small><small
-class="small-caps">E</small><small
-class="small-caps">A</small><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">R</small> </span>package uses the core, but not all
- of the additional packages of the basic layer.
- </dd><dt class="description">
-<span
-class="cmbx-10">Frontend layer:</span> </dt><dd
-class="description">A frontend (of which there can be several) is a set of commands or a special syntax that makes
- using the basic layer easier. A problem with directly using the basic layer is that code written for this layer is
- often too &#8220;verbose.&#8221; For example, to draw a simple triangle, you may need as many as five commands when
- using the basic layer: One for beginning a path at the first corner of the triangle, one for extending the path to
- the second corner, one for going to the third, one for closing the path, and one for actually painting the
- triangle (as opposed to filling it). With the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz</span></span></span> frontend all this boils down to a single simple <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small></span>-like
- command:
-
-
- <table width="100%"
-class="verbatim"><tr class="verbatim"><td
-class="verbatim"><div class="verbatim">
- \draw&nbsp;(0,0)&nbsp;--&nbsp;(1,0)&nbsp;--&nbsp;(1,1)&nbsp;--&nbsp;cycle;
-</div>
- </td></tr></table>
- <!--l. 94--><p class="nopar">
- <!--l. 96--><p class="noindent">There are different frontends:
- <ul class="itemize1">
- <li class="itemize">The Ti<span
-class="cmti-10">k</span>Z&nbsp;frontend is the &#8220;natural&#8221; frontend for <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. It gives you access to all features of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>,
- but it is intended to be easy to use. The syntax is a mixture of <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small> </span>and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small> </span>and
- some ideas of myself. This frontend is <span
-class="cmti-10">neither </span>a complete <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small> </span>compatibility layer nor a
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small> </span>compatibility layer and it is not intended to become either.
- </li>
- <li class="itemize">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpict2e</span></span></span> frontend reimplements the standard <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> environment and
- commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\line</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\vector</span></span></span> using the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;basic layer. This layer is not really &#8220;necessary&#8221;
- since the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pict2e.sty</span></span></span> package does at least as good a job at reimplementing the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span>
- environment. Rather, the idea behind this package is to have a simple demonstration of how a
- frontend can be implemented.</li></ul>
- <!--l. 116--><p class="noindent">It would be possible to implement a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgftricks</span></span></span> frontend that maps <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small> </span>commands to <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;commands.
- However, I have not done this and even if fully implemented, many things that work in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>&nbsp;will not
- work, namely whenever some <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>&nbsp;command relies too heavily on PostScript trickery. Nevertheless, such
- a package might be useful in some situations.</dd></dl>
-<!--l. 124--><p class="indent"> As a user of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;you will use the commands of a frontend plus perhaps some commands of the basic layer.
-For this reason, this manual explains the frontends first, then the basic layer, and finally the system
-layer.
-<!--l. 131--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">1.2 </span> <a
- id="x2-50001.2"></a>Comparison with Other Graphics Packages</h4>
-<!--l. 133--><p class="noindent">There were two main motivations for creating <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x2-5002x1"></a>The standard <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> environment is not powerful enough to create anything but really
- simple graphics. This is certainly not due to a lack of knowledge or imagination on the part of <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#8217;s
- designer(s). Rather, this is the price paid for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> environment&#8217;s portability: It works together
- with all backend drivers.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x2-5004x2"></a>The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pstricks}</span></span></span> package is certainly powerful enough to create any conceivable kind of graphic, but it
- is not portable at all. Most importantly, it does not work with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> nor with any other driver that
- produces anything but PostScript code.</li></ol>
-<!--l. 149--><p class="indent"> The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package is a trade-off between portability and expressive power. It is not as portable as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> and
-perhaps not quite as powerful as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pspicture}</span></span></span>. However, it is more powerful than <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> and more portable
-than <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pspicture}</span></span></span>.
-<!--l. 154--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">1.3 </span> <a
- id="x2-60001.3"></a>Utilities: Page Management</h4>
-<!--l. 156--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package include a special subpackage called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span>, which is used to assemble several pages into a single
-page. This package is not really about creating graphics, but it is part of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;nevertheless, mostly because its
-implementation uses <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;heavily.
-
-
-<!--l. 161--><p class="indent"> The subpackage <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> provides commands for assembling several &#8220;virtual pages&#8221; into a single &#8220;physical
-page.&#8221; The idea is that whenever <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;has a page ready for &#8220;shipout,&#8221; <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> interrupts this shipout and
-instead stores the page to be shipped out in a special box. When enough &#8220;virtual pages&#8221; have been accumulated in
-this way, they are scaled down and arranged on a &#8220;physical page,&#8221; which then <span
-class="cmti-10">really </span>shipped out. This mechanism
-allows you to create &#8220;two page on one page&#8221; versions of a document directly inside <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;without the use of any
-external programs.
-<!--l. 171--><p class="indent"> However, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> can do quite a lot more than that. You can use it to put logos and watermark on pages, print
-up to 16 pages on one page, add borders to pages, and more.
-<!--l. 178--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">1.4 </span> <a
- id="x2-70001.4"></a>How to Read This Manual</h4>
-<!--l. 180--><p class="noindent">This manual describes both the design of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system and its usage. The organization is very roughly according
-to &#8220;user-friendliness.&#8221; The commands and subpackages that are easiest and most frequently used are described first,
-more low-level and esoteric features are discussed later.
-<!--l. 186--><p class="indent"> If you have not yet installed <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, please read the installation first. Second, it might be a good idea to read the
-tutorial. Finally, you might wish to skim through the description of Ti<span
-class="cmti-10">k</span>Z. Typically, you will not need to read the
-sections on the basic layer. You will only need to read the part on the system layer if you intend to write your own
-frontend or if you wish to port <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to a new driver.
-<!--l. 193--><p class="indent"> The &#8220;public&#8221; commands and environments provided by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span> package are described throughout the text. In
-each such description, the described command, environment or option is printed in red. Text shown in green is
-optional and can be left out.
-<!--l. 200--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">1.5 </span> <a
- id="x2-80001.5"></a>Getting Help</h4>
-<!--l. 202--><p class="noindent">When you need help with <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z, please do the following:
-<!--l. 205--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x2-8002x1"></a>Read the manual, at least the part that has to do with your problem.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x2-8004x2"></a>If that does not solve the problem, try having a look at the sourceforge development page for <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and
- Ti<span
-class="cmti-10">k</span>Z&nbsp;(see the title of this document). Perhaps someone has already reported a similar problem and
- someone has found a solution.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x2-8006x3"></a>On the website you will find numerous forums for getting help. There, you can write to help forums,
- file bug reports, join mailing lists, and so on.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x2-8008x4"></a>Before you file a bug report, especially a bug report concerning the installation, make sure that this
- is really a bug. In particular, have a look at the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.log</span></span></span> file that results when you <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;your files. This
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.log</span></span></span> file should show that all the right files are loaded from the right directories. Nearly all installation
- problems can be resolved by looking at the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.log</span></span></span> file.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x2-8010x5"></a><span
-class="cmti-10">As a last resort </span>you can try to email me (the author). I do not mind getting emails, I simply get
- way too many of them. Because of this, I cannot guarantee that your emails will be answered timely
- or even at all. Your chances that your problem will be fixed are somewhat higher if you mail to the
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;mailing list (naturally, I read this list and answer questions when I have the time).
- </li>
- <li class="enumerate" value="6"
-><a
- id="x2-8012x6"></a>Please, do not phone me in my office. If you need a hotline, buy a commercial product.</li></ol>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse2.html" >next</a>] [<a
-href="pgfmanualse1.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse1.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse1.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse10.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse10.html
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@@ -1,3518 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>10 Actions on Paths</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse11.html" >next</a>] [<a
-href="pgfmanualse9.html" >prev</a>] [<a
-href="pgfmanualse9.html#tailpgfmanualse9.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse10.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse10.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">10 </span> <a
- id="x11-12000010"></a>Actions on Paths</h3>
-<!--l. 10--><p class="noindent">Once a path has been constructed, different things can be done with it. It can be drawn (or stroked) with
-a &#8220;pen,&#8221; it can be filled with a color or shading, it can be used for clipping subsequent drawing, it
-can be used to specify the extend of the picture--or any combination of these actions at the same
-time.
-<!--l. 16--><p class="indent"> To decide what is to be done with a path, two methods can be used. First, you can use a special-purpose
-command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> to indicate that the path should be drawn. However, commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\fill</span></span></span> are
-just abbreviations for special cases of the more general method: Here, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> command is used
-to specify the path. Then, options encountered on the path indicate what should be done with the
-path.
-<!--l. 24--><p class="indent"> For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;circle</span><span
-class="cmtt-10">&nbsp;(1cm);</span></span></span> means &#8220;This is a path consisting of a circle around the origin. Do
-not do anything with it (throw it away).&#8221; However, if the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> is encountered anywhere on the path, the
-circle will be drawn. &#8220;Anywhere&#8221; is any point on the path where an option can be given, which is everywhere where
-a path command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span><span
-class="cmtt-10">&nbsp;(1cm)</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span><span
-class="cmtt-10">&nbsp;(1,1)</span></span></span> or even just <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span> would also be allowed. Thus, the
-following commands all draw the same circle:
-<!--l. 32--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-156-" ><colgroup id="TBL-156-1g"><col
-id="TBL-156-1"></colgroup><tr
- valign="baseline" id="TBL-156-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-156-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm)</span><span
-class="cmtt-8">&nbsp;[draw];</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 37--><p class="indent"> Finally, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;circle</span><span
-class="cmtt-10">&nbsp;(1cm);</span></span></span> also draws a path, because <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;[draw]</span></span></span>
-and thus the command expands to the first line of the above example.
-<!--l. 41--><p class="indent"> Similarly, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\fill</span></span></span> is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill]</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\filldraw</span></span></span> is an abbreviation for the
-command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill,draw]</span></span></span>. Since options accumulate, the following commands all have the same
-effect:
-<!--l. 45--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-157-" ><colgroup id="TBL-157-1g"><col
-id="TBL-157-1"></colgroup><tr
- valign="baseline" id="TBL-157-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-157-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;[draw,fill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;[fill]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\path</span><span
-class="cmtt-8">&nbsp;[fill]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm)</span><span
-class="cmtt-8">&nbsp;[draw];</span>
-<br><span
-class="cmtt-8">\draw</span><span
-class="cmtt-8">&nbsp;[fill]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\filldraw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 54--><p class="indent"> In the following subsection the different actions are explained that can be performed on a path. The following
-commands are abbreviations for certain sets of actions, but for many useful combinations there are no
-abbreviations:
-<!--l. 59--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox74"><span
-class="cmtt-10">\draw</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120001"></a>
- <!--l. 60--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw]</span></span></span>. </dd></dl>
-<!--l. 63--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox75"><span
-class="cmtt-10">\fill</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120002"></a>
- <!--l. 64--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill]</span></span></span>. </dd></dl>
-<!--l. 67--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox76"><span
-class="cmtt-10">\filldraw</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120003"></a>
- <!--l. 68--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill,draw]</span></span></span>. </dd></dl>
-
-
-<!--l. 71--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox77"><span
-class="cmtt-10">\shade</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120004"></a>
- <!--l. 72--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[shade]</span></span></span>. </dd></dl>
-<!--l. 75--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox78"><span
-class="cmtt-10">\shadedraw</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120005"></a>
- <!--l. 76--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[shade,draw]</span></span></span>. </dd></dl>
-<!--l. 79--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox79"><span
-class="cmtt-10">\clip</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120006"></a>
- <!--l. 80--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[clip]</span></span></span>. </dd></dl>
-<!--l. 83--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox80"><span
-class="cmtt-10">\useasboundingbox</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120007"></a>
- <!--l. 84--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box]</span></span></span>. </dd></dl>
-<!--l. 87--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox81"><span
-class="cmtt-10">\node</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120008"></a>
- <!--l. 88--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;node</span></span></span>. Note that, for once, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> is not an
- option but a path operation. </dd></dl>
-<!--l. 92--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox82"><span
-class="cmtt-10">\coordinate</span></span> </dt><dd
-class="description">
-<a
- id="dx11-120009"></a>
- <!--l. 93--><p class="noindent">Inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> this is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;coordinate</span></span></span>. </dd></dl>
-<!--l. 98--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.1 </span> <a
- id="x11-12100010.1"></a>Specifying a Color</h4>
-<!--l. 100--><p class="noindent">The most unspecific option for setting colors is the following:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">color</span><a
- id="dx11-121001"></a><a
- id="dx11-121002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color name</span><span
-class="cmsy-10">&gt;</span><a
- id="dx11-121003"></a><a
- id="dx11-121004"></a>This option sets the color that is used for fill, drawing, and text inside the current
- scope. Any special settings for filling colors or drawing colors are immediately &#8220;overruled&#8221; by this
- option.
- <!--l. 109--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color name</span><span
-class="cmsy-10">&gt; </span>is the name of a previously defined color. For <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;users, this is just a normal
- &#8220;<span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>-color&#8221; and the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> extensions are allows. Here is an example:
- <!--l. 113--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-158-" ><colgroup id="TBL-158-1g"><col
-id="TBL-158-1"><col
-id="TBL-158-2"></colgroup><tr
- valign="baseline" id="TBL-158-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-158-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-156.svg" width="12.4814 " height="12.4814 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-158-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[color=red!20]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 117--><p class="noindent">It is possible to &#8220;leave out&#8221; the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> part and you can also write:
-
-
- <!--l. 119--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-159-" ><colgroup id="TBL-159-1g"><col
-id="TBL-159-1"><col
-id="TBL-159-2"></colgroup><tr
- valign="baseline" id="TBL-159-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-159-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-157.svg" width="12.4814 " height="12.4814 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-159-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[red!20]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 122--><p class="noindent">What happens is that every option that Ti<span
-class="cmti-10">k</span>Z&nbsp;does not know, like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">red!20</span></span></span>, gets a &#8220;second chance&#8221; as a color
- name.
- <!--l. 125--><p class="noindent">For plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;users, it is not so easy to specify colors since plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;has no &#8220;standardized&#8221; color naming
- mechanism. Because of this, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;emulates the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> package, though the emulation is <span
-class="cmti-10">extremely basic </span>(more
- precisely, what I could hack together in two hours or so). The emulation allows you to do the
- following:
- <ul class="itemize2">
- <li class="itemize">Specify a new color using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\definecolor</span></span></span>. Only the two color models <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gray</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rgb</span></span></span> are supported.
- <!--l. 134--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\definecolor{orange}{rgb}{1,0.5,0}</span></span></span>
- </li>
- <li class="itemize">Use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\colorlet</span></span></span> to define a new color based on an old one. Here, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span> mechanism is supported,
- though only &#8220;once&#8221; (use multiple <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\colorlet</span></span></span> for more fancy colors).
- <!--l. 138--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\colorlet{lightgray}{black!25}</span></span></span>
- </li>
- <li class="itemize">Use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>to set the color in the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group. <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\aftergroup</span></span></span>-hackery is
- used to restore the color after the group.</li></ul>
- </li></ul>
-<!--l. 145--><p class="indent"> As pointed out above, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option applies to &#8220;everything&#8221; (except to shadings), which is not always what
-you want. Because of this, there are several more specialized color options. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw=</span></span></span> option sets the
-color used for drawing, but does not modify the color used for filling. These color options are documented where the
-path action they influence is described.
-<!--l. 153--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.2 </span> <a
- id="x11-12200010.2"></a>Drawing a Path</h4>
-<!--l. 155--><p class="noindent">You can draw a path using the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">draw</span><a
- id="dx11-122001"></a><a
- id="dx11-122002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span> Causes the path to be drawn. &#8220;Drawing&#8221; (also known as &#8220;stroking&#8221;) can be thought of
- as picking up a pen and moving it along the path, thereby leaving &#8220;ink&#8221; on the canvas.
- <!--l. 162--><p class="noindent">There are numerous parameters that influence how a line is drawn, like the thickness or the dash
- pattern. These options are explained below.
- <!--l. 166--><p class="noindent">If the optional <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>argument is given, drawing is done using the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span>. This color can be
- different from the current filling color, which allows you to draw and fill a path with different colors.
- If no <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>argument is given, the last usage of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option is used.
- <!--l. 172--><p class="noindent">If the special color name <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">none</span></span></span> is given, this option causes drawing to be &#8220;switched off.&#8221; This is useful
- if a style has previously switched on drawing and you locally wish to undo this effect.
- <!--l. 177--><p class="noindent">Although this option is normally used on paths to indicate that the path should be drawn, it also
- makes sense to use the option with a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment. However, this will <span
-class="cmti-10">not</span>
- cause all path to drawn. Instead, this just sets the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>to be used for drawing paths inside the
- environment.
- <!--l. 183--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-160-" ><colgroup id="TBL-160-1g"><col
-id="TBL-160-1"><col
-id="TBL-160-2"></colgroup><tr
- valign="baseline" id="TBL-160-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-160-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-158.svg" width="90.7403 " height="52.80345 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-160-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path[draw=red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(10pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 190--><p class="indent"> The following subsections list the different options that influence how a path is drawn. All of these options only
-have an effect if the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> options is given (directly or indirectly).
-
-
-<!--l. 194--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.2.1 </span> <a
- id="x11-12300010.2.1"></a>Graphic Parameters: Line Width, Line Cap, and Line Join</h5>
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">line width</span><a
- id="dx11-123001"></a><a
- id="dx11-123002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Specifies the line width. Note the space. Default: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.4pt</span></span></span>.
- <!--l. 202--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-161-" ><colgroup id="TBL-161-1g"><col
-id="TBL-161-1"><col
-id="TBL-161-2"></colgroup><tr
- valign="baseline" id="TBL-161-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-161-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-159.svg" width="45.60349 " height="16.27768 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-161-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=5pt]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 207--><p class="noindent">There are a number of predefined styles that provide more &#8220;natural&#8221; ways of setting the line width. You can also
-redefine these styles. Remember that you can leave out the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=</span></span></span> when setting a style.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">ultra thin</span><a
- id="dx11-123003"></a><a
- id="dx11-123004"></a> Sets the line width to 0.1pt.
- <!--l. 215--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-162-" ><colgroup id="TBL-162-1g"><col
-id="TBL-162-1"><col
-id="TBL-162-2"></colgroup><tr
- valign="baseline" id="TBL-162-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-162-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-160.svg" width="39.07018 " height="9.74438 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-162-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[ultra</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very thin</span><a
- id="dx11-123005"></a><a
- id="dx11-123006"></a> Sets the line width to 0.2pt.
- <!--l. 221--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-163-" ><colgroup id="TBL-163-1g"><col
-id="TBL-163-1"><col
-id="TBL-163-2"></colgroup><tr
- valign="baseline" id="TBL-163-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-163-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-161.svg" width="39.20348 " height="9.87769 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-163-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">thin</span><a
- id="dx11-123007"></a><a
- id="dx11-123008"></a> Sets the line width to 0.4pt.
- <!--l. 227--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-164-" ><colgroup id="TBL-164-1g"><col
-id="TBL-164-1"><col
-id="TBL-164-2"></colgroup><tr
- valign="baseline" id="TBL-164-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-164-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-162.svg" width="39.47017 " height="10.14436 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-164-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[thin]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">semithick</span><a
- id="dx11-123009"></a><a
- id="dx11-123010"></a> Sets the line width to 0.6pt.
- <!--l. 233--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-165-" ><colgroup id="TBL-165-1g"><col
-id="TBL-165-1"><col
-id="TBL-165-2"></colgroup><tr
- valign="baseline" id="TBL-165-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-165-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-163.svg" width="39.73685 " height="10.41104 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-165-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[semithick]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">thick</span><a
- id="dx11-123011"></a><a
- id="dx11-123012"></a> Sets the line width to 0.8pt.
- <!--l. 239--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-166-" ><colgroup id="TBL-166-1g"><col
-id="TBL-166-1"><col
-id="TBL-166-2"></colgroup><tr
- valign="baseline" id="TBL-166-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-166-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-164.svg" width="40.00348 " height="10.67769 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-166-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[thick]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very thick</span><a
- id="dx11-123013"></a><a
- id="dx11-123014"></a> Sets the line width to 1.2pt.
- <!--l. 245--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-167-" ><colgroup id="TBL-167-1g"><col
-id="TBL-167-1"><col
-id="TBL-167-2"></colgroup><tr
- valign="baseline" id="TBL-167-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-167-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-165.svg" width="40.5368 " height="11.21101 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-167-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">ultra thick</span><a
- id="dx11-123015"></a><a
- id="dx11-123016"></a> Sets the line width to 1.6pt.
- <!--l. 251--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-168-" ><colgroup id="TBL-168-1g"><col
-id="TBL-168-1"><col
-id="TBL-168-2"></colgroup><tr
- valign="baseline" id="TBL-168-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-168-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-166.svg" width="41.07018 " height="11.74437 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-168-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[ultra</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1.5ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-
-
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">cap</span><a
- id="dx11-123017"></a><a
- id="dx11-123018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">type</span><span
-class="cmsy-10">&gt; </span>Specifies how lines &#8220;end.&#8221; Permissible <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">type</span><span
-class="cmsy-10">&gt; </span>are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">round</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rect</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">butt</span></span></span> (default). They
- have the following effects:
- <!--l. 261--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-169-" ><colgroup id="TBL-169-1g"><col
-id="TBL-169-1"><col
-id="TBL-169-2"></colgroup><tr
- valign="baseline" id="TBL-169-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-169-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-167.svg" width="52.27013 " height="52.27013 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-169-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[line</span><span
-class="cmtt-8">&nbsp;width=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[cap=rect]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0</span><span
-class="cmtt-8">&nbsp;)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[cap=butt]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[cap=round]</span><span
-class="cmtt-8">&nbsp;(0,1</span><span
-class="cmtt-8">&nbsp;)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[white,line</span><span
-class="cmtt-8">&nbsp;width=1pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0</span><span
-class="cmtt-8">&nbsp;)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;(0,.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,.5)</span><span
-class="cmtt-8">&nbsp;(0,1</span><span
-class="cmtt-8">&nbsp;)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">join</span><a
- id="dx11-123019"></a><a
- id="dx11-123020"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">type</span><span
-class="cmsy-10">&gt; </span>Specifies how lines &#8220;join.&#8221; Permissible <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">type</span><span
-class="cmsy-10">&gt; </span>are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">round</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bevel</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">miter</span></span></span> (default). They have
- the following effects:
- <!--l. 277--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-170-" ><colgroup id="TBL-170-1g"><col
-id="TBL-170-1"><col
-id="TBL-170-2"></colgroup><tr
- valign="baseline" id="TBL-170-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-170-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-168.svg" width="147.11221 " height="64.5719 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-170-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[line</span><span
-class="cmtt-8">&nbsp;width=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[join=round]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[join=bevel]</span><span
-class="cmtt-8">&nbsp;(1.25,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[join=miter]</span><span
-class="cmtt-8">&nbsp;(2.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(.5,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;bigger</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">miter limit</span><a
- id="dx11-123021"></a><a
- id="dx11-123022"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>When you use the miter join and there is a very sharp corner (a small angle), the miter
- join may protrude very far over the actual joining point. In this case, if it were to protrude by more
- than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>times the line width, the miter join is replaced by a bevel join. Default value is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">10</span></span></span>.
- <!--l. 293--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-169.svg" width="535.44917 " height="45.60345 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-171-" ><colgroup id="TBL-171-1g"><col
-id="TBL-171-1"></colgroup><tr
- valign="baseline" id="TBL-171-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-171-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[line</span><span
-class="cmtt-8">&nbsp;width=5pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(5,.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-5,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[miter</span><span
-class="cmtt-8">&nbsp;limit=25]</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(5,.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-5,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(14,0);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;bigger</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-<!--l. 302--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.2.2 </span> <a
- id="x11-12400010.2.2"></a>Graphic Parameters: Dash Pattern</h5>
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">dash pattern</span><a
- id="dx11-124001"></a><a
- id="dx11-124002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dash pattern</span><span
-class="cmsy-10">&gt; </span>Sets the dashing pattern. The syntax is the same as in <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small></span>. For
- example <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">on</span><span
-class="cmtt-10">&nbsp;2pt</span><span
-class="cmtt-10">&nbsp;off</span><span
-class="cmtt-10">&nbsp;3pt</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;4pt</span><span
-class="cmtt-10">&nbsp;off</span><span
-class="cmtt-10">&nbsp;4pt</span></span></span> means &#8220;draw 2pt, then leave out 3pt, then draw 4pt once
- more, then leave out 4pt again, repeat&#8221;.
- <!--l. 311--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-172-" ><colgroup id="TBL-172-1g"><col
-id="TBL-172-1"><col
-id="TBL-172-2"></colgroup><tr
- valign="baseline" id="TBL-172-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-172-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-170.svg" width="134.31233 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-172-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[dash</span><span
-class="cmtt-8">&nbsp;pattern=on</span><span
-class="cmtt-8">&nbsp;2pt</span><span
-class="cmtt-8">&nbsp;off</span><span
-class="cmtt-8">&nbsp;3pt</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;4pt</span><span
-class="cmtt-8">&nbsp;off</span><span
-class="cmtt-8">&nbsp;4pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3.5cm,0pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">dash phase</span><a
- id="dx11-124003"></a><a
- id="dx11-124004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dash phase</span><span
-class="cmsy-10">&gt; </span>Shifts the start of the dash pattern by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">phase</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 320--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-173-" ><colgroup id="TBL-173-1g"><col
-id="TBL-173-1"><col
-id="TBL-173-2"></colgroup><tr
- valign="baseline" id="TBL-173-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-173-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-171.svg" width="134.31233 " height="5.5333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-173-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[dash</span><span
-class="cmtt-8">&nbsp;pattern=on</span><span
-class="cmtt-8">&nbsp;20pt</span><span
-class="cmtt-8">&nbsp;off</span><span
-class="cmtt-8">&nbsp;10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[dash</span><span
-class="cmtt-8">&nbsp;phase=0pt]</span><span
-class="cmtt-8">&nbsp;(0pt,3pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3.5cm,3pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[dash</span><span
-class="cmtt-8">&nbsp;phase=10pt]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3.5cm,0pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 328--><p class="noindent">As for the line thickness, some predefined styles allow you to set the dashing conveniently.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">solid</span><a
- id="dx11-124005"></a><a
- id="dx11-124006"></a> Shorthand for setting a solid line as &#8220;dash pattern.&#8221; This is the default.
- <!--l. 335--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-174-" ><colgroup id="TBL-174-1g"><col
-id="TBL-174-1"><col
-id="TBL-174-2"></colgroup><tr
- valign="baseline" id="TBL-174-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-174-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-172.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-174-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[solid]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">dotted</span><a
- id="dx11-124007"></a><a
- id="dx11-124008"></a> Shorthand for setting a dotted dash pattern.
- <!--l. 342--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-175-" ><colgroup id="TBL-175-1g"><col
-id="TBL-175-1"><col
-id="TBL-175-2"></colgroup><tr
- valign="baseline" id="TBL-175-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-175-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-173.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-175-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[dotted]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">densely dotted</span><a
- id="dx11-124009"></a><a
- id="dx11-124010"></a> Shorthand for setting a densely dotted dash pattern.
- <!--l. 349--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-176-" ><colgroup id="TBL-176-1g"><col
-id="TBL-176-1"><col
-id="TBL-176-2"></colgroup><tr
- valign="baseline" id="TBL-176-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-176-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-174.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-176-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[densely</span><span
-class="cmtt-8">&nbsp;dotted]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">loosely dotted</span><a
- id="dx11-124011"></a><a
- id="dx11-124012"></a> Shorthand for setting a loosely dotted dash pattern.
- <!--l. 356--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-177-" ><colgroup id="TBL-177-1g"><col
-id="TBL-177-1"><col
-id="TBL-177-2"></colgroup><tr
- valign="baseline" id="TBL-177-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-177-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-175.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-177-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[loosely</span><span
-class="cmtt-8">&nbsp;dotted]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">dashed</span><a
- id="dx11-124013"></a><a
- id="dx11-124014"></a> Shorthand for setting a dashed dash pattern.
- <!--l. 363--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-178-" ><colgroup id="TBL-178-1g"><col
-id="TBL-178-1"><col
-id="TBL-178-2"></colgroup><tr
- valign="baseline" id="TBL-178-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-178-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-176.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-178-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[dashed]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">densely dashed</span><a
- id="dx11-124015"></a><a
- id="dx11-124016"></a> Shorthand for setting a densely dashed dash pattern.
- <!--l. 370--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-179-" ><colgroup id="TBL-179-1g"><col
-id="TBL-179-1"><col
-id="TBL-179-2"></colgroup><tr
- valign="baseline" id="TBL-179-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-179-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-177.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-179-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[densely</span><span
-class="cmtt-8">&nbsp;dashed]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">loosely dashed</span><a
- id="dx11-124017"></a><a
- id="dx11-124018"></a> Shorthand for setting a loosely dashed dash pattern.
- <!--l. 377--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-180-" ><colgroup id="TBL-180-1g"><col
-id="TBL-180-1"><col
-id="TBL-180-2"></colgroup><tr
- valign="baseline" id="TBL-180-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-180-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-178.svg" width="68.19972 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-180-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[loosely</span><span
-class="cmtt-8">&nbsp;dashed]</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50pt,0pt);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-
-
-<!--l. 383--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.2.3 </span> <a
- id="x11-12500010.2.3"></a>Graphic Parameters: Draw Opacity</h5>
-<!--l. 385--><p class="noindent">When a line is drawn, it will normally &#8220;obscure&#8221; everything behind it as if you has used perfectly opaque ink. It is
-also possible to ask Ti<span
-class="cmti-10">k</span>Z&nbsp;to use an ink that is a little bit (or a big bit) transparent. To do so, use the following
-option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">draw opacity</span><a
- id="dx11-125001"></a><a
- id="dx11-125002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>This option sets &#8220;how transparent&#8221; lines should be. A value of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span> means &#8220;fully
- opaque&#8221; or &#8220;not transparent at all,&#8221; a value of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0</span></span></span> means &#8220;fully transparent&#8221; or &#8220;invisible.&#8221; A value of
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> yields lines that are semitransparent.
- <!--l. 397--><p class="noindent">Note that when you use PostScript as your output format, this option works only with recent versions
- of GhostScript.
- <!--l. 400--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-181-" ><colgroup id="TBL-181-1g"><col
-id="TBL-181-1"><col
-id="TBL-181-2"></colgroup><tr
- valign="baseline" id="TBL-181-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-181-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-179.svg" width="120.55124 " height="44.67754 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-181-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[line</span><span
-class="cmtt-8">&nbsp;width=1ex]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw</span><span
-class="cmtt-8">&nbsp;[fill=examplefill,draw</span><span
-class="cmtt-8">&nbsp;opacity=0.5]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 408--><p class="indent"> Note that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span><span
-class="cmtt-10">&nbsp;opacity</span></span></span> options only sets the opacity of drawn lines. The opacity of fillings is set using
-the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span><span
-class="cmtt-10">&nbsp;opacity</span></span></span> (documented in Section&nbsp;<a
-href="#x11-13000010.3.2">10.3.2<!--tex4ht:ref: section-fill-opacity --></a>. The option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">opacity</span></span></span> sets both at the same
-time.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">opacity</span><a
- id="dx11-125003"></a><a
- id="dx11-125004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>Sets both the drawing and filling opacity to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 417--><p class="noindent">The following predefined styles make it easier to use this option:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">transparent</span><a
- id="dx11-125005"></a><a
- id="dx11-125006"></a> Makes everything totally transparent and, hence, invisible.
- <!--l. 422--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-182-" ><colgroup id="TBL-182-1g"><col
-id="TBL-182-1"><col
-id="TBL-182-2"></colgroup><tr
- valign="baseline" id="TBL-182-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-182-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-180.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-182-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[transparent,red]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">ultra nearly transparent</span><a
- id="dx11-125007"></a><a
- id="dx11-125008"></a> Makes everything, well, ultra nearly transparent.
- <!--l. 429--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-183-" ><colgroup id="TBL-183-1g"><col
-id="TBL-183-1"><col
-id="TBL-183-2"></colgroup><tr
- valign="baseline" id="TBL-183-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-183-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-181.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-183-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[ultra</span><span
-class="cmtt-8">&nbsp;nearly</span><span
-class="cmtt-8">&nbsp;transparent]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very nearly transparent</span><a
- id="dx11-125009"></a><a
- id="dx11-125010"></a>
- <!--l. 434--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-184-" ><colgroup id="TBL-184-1g"><col
-id="TBL-184-1"><col
-id="TBL-184-2"></colgroup><tr
- valign="baseline" id="TBL-184-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-184-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-182.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-184-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[very</span><span
-class="cmtt-8">&nbsp;nearly</span><span
-class="cmtt-8">&nbsp;transparent]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">nearly transparent</span><a
- id="dx11-125011"></a><a
- id="dx11-125012"></a>
- <!--l. 439--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-185-" ><colgroup id="TBL-185-1g"><col
-id="TBL-185-1"><col
-id="TBL-185-2"></colgroup><tr
- valign="baseline" id="TBL-185-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-185-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-183.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-185-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[nearly</span><span
-class="cmtt-8">&nbsp;transparent]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">semitransparent</span><a
- id="dx11-125013"></a><a
- id="dx11-125014"></a>
- <!--l. 444--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-186-" ><colgroup id="TBL-186-1g"><col
-id="TBL-186-1"><col
-id="TBL-186-2"></colgroup><tr
- valign="baseline" id="TBL-186-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-186-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-184.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-186-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[semitransparent]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">nearly opaque</span><a
- id="dx11-125015"></a><a
- id="dx11-125016"></a>
- <!--l. 449--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-187-" ><colgroup id="TBL-187-1g"><col
-id="TBL-187-1"><col
-id="TBL-187-2"></colgroup><tr
- valign="baseline" id="TBL-187-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-187-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-185.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-187-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[nearly</span><span
-class="cmtt-8">&nbsp;opaque]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very nearly opaque</span><a
- id="dx11-125017"></a><a
- id="dx11-125018"></a>
- <!--l. 454--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-188-" ><colgroup id="TBL-188-1g"><col
-id="TBL-188-1"><col
-id="TBL-188-2"></colgroup><tr
- valign="baseline" id="TBL-188-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-188-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-186.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-188-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[very</span><span
-class="cmtt-8">&nbsp;nearly</span><span
-class="cmtt-8">&nbsp;opaque]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">ultra nearly opaque</span><a
- id="dx11-125019"></a><a
- id="dx11-125020"></a>
- <!--l. 459--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-189-" ><colgroup id="TBL-189-1g"><col
-id="TBL-189-1"><col
-id="TBL-189-2"></colgroup><tr
- valign="baseline" id="TBL-189-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-189-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-187.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-189-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[ultra</span><span
-class="cmtt-8">&nbsp;nearly</span><span
-class="cmtt-8">&nbsp;opaque]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">opaque</span><a
- id="dx11-125021"></a><a
- id="dx11-125022"></a> This yields completely opaque drawings, which is the default.
- <!--l. 465--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-190-" ><colgroup id="TBL-190-1g"><col
-id="TBL-190-1"><col
-id="TBL-190-2"></colgroup><tr
- valign="baseline" id="TBL-190-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-190-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-188.svg" width="57.90526 " height="19.9684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-190-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[opaque]</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.5,0.25);</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </li></ul>
-<!--l. 475--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.2.4 </span> <a
- id="x11-12600010.2.4"></a>Graphic Parameters: Arrow Tips</h5>
-<!--l. 477--><p class="noindent">When you draw a line, you can add arrow tips at the ends. It is only possible to add one arrow tip at the start and
-one at the end. If the path consists of several segments, only the last segment gets arrow tips. The behavior for
-paths that are closed is not specified and may change in the future.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">arrows</span><a
- id="dx11-126001"></a><a
- id="dx11-126002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start arrow kind</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end arrow kind</span><span
-class="cmsy-10">&gt;</span> This option sets the start and end arrow tips (an empty
- value as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-&gt;</span></span></span> indicates that no arrow tip should be drawn at the start).<a
- id="dx11-126003"></a><a
- id="dx11-126004"></a>
- <!--l. 490--><p class="noindent"><span
-class="cmti-10">Note: Since the arrow option is so often used, you can leave out the text </span><span class="obeylines-h"><span class="verb"><span
-class="cmitt-10">arrows=</span></span></span><span
-class="cmti-10">. </span>What happens is
- that every option that contains a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-</span></span></span> is interpreted as an arrow specification.
- <!--l. 493--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-191-" ><colgroup id="TBL-191-1g"><col
-id="TBL-191-1"><col
-id="TBL-191-2"></colgroup><tr
- valign="baseline" id="TBL-191-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-191-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-189.svg" width="39.47017 " height="12.91447 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-191-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[o-stealth]</span><span
-class="cmtt-8">&nbsp;(0,0.3)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0.3);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 500--><p class="noindent">The permissible values are all predefined arrow tips, though you can also define new arrow tip kinds as
- explained in Section&nbsp;<a
-href="pgfmanualse24.html#x25-25200024">24<!--tex4ht:ref: section-arrows --></a>. This is often necessary to obtain &#8220;double&#8221; arrow tips and arrow tips that have a fixed
- size. Since <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryarrows</span></span></span> is loaded by default, all arrow tips described in Section&nbsp;<a
-href="pgfmanualse14.html#x15-16000014.1">14.1<!--tex4ht:ref: section-library-arrows --></a> are
- available.
-
-
- <!--l. 507--><p class="noindent">One arrow tip kind is special: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span> (and all arrow tip kinds containing the arrow tip kind such as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;&lt;</span></span></span>
- or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;|</span></span></span>). This arrow tip type is not fixed. Rather, you can redefine it using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=</span></span></span> option, see
- below.
- <!--l. 512--><p class="noindent"><span
-class="cmti-10">Example: </span>You can also combine arrow tip types as in
- <!--l. 513--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-192-" ><colgroup id="TBL-192-1g"><col
-id="TBL-192-1"><col
-id="TBL-192-2"></colgroup><tr
- valign="baseline" id="TBL-192-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-192-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-190.svg" width="138.10619 " height="46.52466 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-192-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[to</span><span
-class="cmtt-8">&nbsp;reversed-to]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(.5,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-.5,-.5)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;+(1.5,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[[-latex</span><span
-class="cmtt-8">&nbsp;reversed]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(.5,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-.5,-.5)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;+(1.5,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[latex-)]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(.5,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-.5,-.5)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;+(1.5,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-.1,-.1)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.1,1.1);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;bigger</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">&gt;</span><a
- id="dx11-126005"></a><a
- id="dx11-126006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end arrow kind</span><span
-class="cmsy-10">&gt; </span>This option can be used to redefine the &#8220;standard&#8221; arrow tip <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span>. The idea is that different
- people have different ideas what arrow tip kind should normally be used. I prefer the arrow tip of <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\to</span></span></span>
- command (which is used in things like <span
-class="cmmi-10">f</span> : <span
-class="cmmi-10">A </span><span
-class="cmsy-10"><img
-src="cmsy10-21.png" alt="--&gt;" class="10x-x-21" /> </span><span
-class="cmmi-10">B</span>). Other people will prefer <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#8217;s standard arrow tip,
- which looks like this: <object data="pgfmanual-191.svg" width="14.8666 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. Since the arrow tip kind <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span> is certainly the most &#8220;natural&#8221; one to use, it is kept free
- of any predefined meaning. Instead, you can change it by saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=to</span></span></span> to set the &#8220;standard&#8221; arrow tip kind to
- <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s arrow tip, whereas <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=latex</span></span></span> will set it to <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#8217;s arrow tip and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=stealth</span></span></span> will use a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>-like
- arrow tip.
- <!--l. 535--><p class="noindent">Apart from redefining the arrow tip kind <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span> (and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;</span></span></span> for the start), this option also redefines the following arrow
- tip kinds: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;</span></span></span> as the swapped version of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end arrow kind</span><span
-class="cmsy-10">&gt;</span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;&lt;</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;&gt;</span></span></span> as doubled versions,
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;&gt;</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;&lt;</span></span></span> as swapped doubled versions, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">|&lt;</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;|</span></span></span> as arrow tips ending with a vertical
- bar.
- <!--l. 541--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-193-" ><colgroup id="TBL-193-1g"><col
-id="TBL-193-1"><col
-id="TBL-193-2"></colgroup><tr
- valign="baseline" id="TBL-193-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-193-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-192.svg" width="77.40701 " height="70.42172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-193-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=2]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[&gt;=latex]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0pt,6ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,6ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[&gt;-&gt;&gt;]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0pt,5ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,5ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[|&lt;-&gt;|]</span><span
-class="cmtt-8">&nbsp;(0pt,4ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,4ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[&gt;=diamond]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0pt,2ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,2ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[&gt;-&gt;&gt;]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0pt,1ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,1ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[|&lt;-&gt;|]</span><span
-class="cmtt-8">&nbsp;(0pt,0ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1cm,0ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">shorten &gt;</span><a
- id="dx11-126007"></a><a
- id="dx11-126008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option will shorten the end of lines by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. If you specify an
- arrow tip, lines are already shortened a bit such that the arrow tip touches the specified endpoint and does not
- &#8220;protrude over&#8221; this point. Here is an example:
- <!--l. 562--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-194-" ><colgroup id="TBL-194-1g"><col
-id="TBL-194-1"><col
-id="TBL-194-2"></colgroup><tr
- valign="baseline" id="TBL-194-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-194-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-193.svg" width="133.77895 " height="114.81052 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-194-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[line</span><span
-class="cmtt-8">&nbsp;width=20pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.5,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray,-&gt;]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 570--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shorten</span><span
-class="cmtt-10">&nbsp;&gt;</span></span></span> option allows you to shorten the end on the line <span
-class="cmti-10">additionally </span>by the given distance. This
- option can also be useful if you have not specified an arrow tip at all.
- <!--l. 574--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-195-" ><colgroup id="TBL-195-1g"><col
-id="TBL-195-1"><col
-id="TBL-195-2"></colgroup><tr
- valign="baseline" id="TBL-195-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-195-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-194.svg" width="133.77895 " height="114.81052 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-195-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[line</span><span
-class="cmtt-8">&nbsp;width=20pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.5,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-to,shorten</span><span
-class="cmtt-8">&nbsp;&gt;=10pt,gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">shorten &lt;</span><a
- id="dx11-126009"></a><a
- id="dx11-126010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shorten</span><span
-class="cmtt-10">&nbsp;&gt;</span></span></span>, but for the start.</li></ul>
-<!--l. 588--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.2.5 </span> <a
- id="x11-12700010.2.5"></a>Graphic Parameters: Double Lines and Bordered Lines</h5>
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">double</span><a
- id="dx11-127001"></a><a
- id="dx11-127002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">core color</span><span
-class="cmsy-10">&gt;</span> This option causes &#8220;two&#8221; lines to be drawn instead of a single one. However, this
- is not what really happens. In reality, the path is drawn twice. First, with the normal drawing color,
- secondly with the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">core color</span><span
-class="cmsy-10">&gt;</span>, which is normally <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">white</span></span></span>. Upon the second drawing, the line width is
- reduced. The net effect is that it appears as if two lines had been drawn and this works well even with
- complicated, curved paths:
- <!--l. 600--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-196-" ><colgroup id="TBL-196-1g"><col
-id="TBL-196-1"><col
-id="TBL-196-2"></colgroup><tr
- valign="baseline" id="TBL-196-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-196-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-195.svg" width="51.3308 " height="40.8035 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-196-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[double]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[smooth</span><span
-class="cmtt-8">&nbsp;cycle]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;(0,1)};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 605--><p class="noindent">You can also use the doubling option to create an effect in which a line seems to have a certain
- &#8220;border&#8221;:
- <!--l. 608--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-197-" ><colgroup id="TBL-197-1g"><col
-id="TBL-197-1"><col
-id="TBL-197-2"></colgroup><tr
- valign="baseline" id="TBL-197-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-197-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-196.svg" width="42.93683 " height="42.93683 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-197-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[draw=white,double=red,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">double distance</span><a
- id="dx11-127003"></a><a
- id="dx11-127004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the distance the &#8220;two&#8221; lines are spaced apart (default is 0.6pt). In reality,
- this is the thickness of the line that is used to draw the path for the second time. The thickness of the <span
-class="cmti-10">first</span>
- time the path is drawn is twice the normal line width plus the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. As a side-effect, this option
- &#8220;selects&#8221; the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">double</span></span></span> option.
- <!--l. 623--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-198-" ><colgroup id="TBL-198-1g"><col
-id="TBL-198-1"><col
-id="TBL-198-2"></colgroup><tr
- valign="baseline" id="TBL-198-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-198-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-197.svg" width="118.67717 " height="44.80348 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-198-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick,double]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:90:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick,double</span><span
-class="cmtt-8">&nbsp;distance=2pt]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:90:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thin,double</span><span
-class="cmtt-8">&nbsp;distance=2pt]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:90:1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-
-
-<!--l. 638--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.3 </span> <a
- id="x11-12800010.3"></a>Filling a Path</h4>
-<!--l. 640--><p class="noindent">To fill a path, use the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">fill</span><a
- id="dx11-128001"></a><a
- id="dx11-128002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span> This option causes the path to be filled. All unclosed parts of the path are first closed,
- if necessary. Then, the area enclosed by the path is filled with the current filling color, which is either
- the last color set using the general <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option or the optional color <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span>. For self-intersection
- paths and for paths consisting of several closed areas, the &#8220;enclosed area&#8221; is somewhat complicated to
- define and two different definitions exist, namely the nonzero winding number rule and the even odd
- rule, see the explanation of these options, below.
- <!--l. 653--><p class="noindent">Just as for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option, setting <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">none</span></span></span> disables filling locally.
- <!--l. 656--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-198.svg" width="399.33687 " height="57.90526 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-199-" ><colgroup id="TBL-199-1g"><col
-id="TBL-199-1"></colgroup><tr
- valign="baseline" id="TBL-199-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-199-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(4.5,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[even</span><span
-class="cmtt-8">&nbsp;odd</span><span
-class="cmtt-8">&nbsp;rule]</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(6.5,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(8,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(9,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 665--><p class="noindent">If the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> option is used together with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option (either because both are given as options or because a
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\filldraw</span></span></span> command is used), the path is filled <span
-class="cmti-10">first</span>, then the path is drawn <span
-class="cmti-10">second</span>. This is especially useful if
- different colors are selected for drawing and for filling. Even if the same color is used, there is a difference
- between this command and a plain <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span>: A &#8220;filldrawn&#8221; area will be slightly larger than a filled area because of
- the thickness of the &#8220;pen.&#8221;
- <!--l. 674--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-199.svg" width="406.00351 " height="64.5719 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-200-" ><colgroup id="TBL-200-1g"><col
-id="TBL-200-1"></colgroup><tr
- valign="baseline" id="TBL-200-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-200-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[fill=examplefill,line</span><span
-class="cmtt-8">&nbsp;width=5pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(4.5,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[even</span><span
-class="cmtt-8">&nbsp;odd</span><span
-class="cmtt-8">&nbsp;rule]</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(6.5,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw</span><span
-class="cmtt-8">&nbsp;(8,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(9,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-<!--l. 685--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.3.1 </span> <a
- id="x11-12900010.3.1"></a>Graphic Parameters: Interior Rules</h5>
-<!--l. 687--><p class="noindent">The following two options can be used to decide how interior points should be determined:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">nonzero rule</span><a
- id="dx11-129001"></a><a
- id="dx11-129002"></a> If this rule is used (which is the default), the following method is used to determine
- whether a given point is &#8220;inside&#8221; the path: From the point, shoot a ray in some direction towards
- infinity (the direction is chosen such that no strange borderline cases occur). Then the ray may hit
- the path. Whenever it hits the path, we increase or decrease a counter, which is initially zero. If the
- ray hits the path as the path goes &#8220;from left to right&#8221; (relative to the ray), the counter is increased,
- otherwise it is decreased. Then, at the end, we check whether the counter is nonzero (hence the name).
- If so, the point is deemed to lie &#8220;inside,&#8221; otherwise it is &#8220;outside.&#8221; Sounds complicated? It is.
-
-
- <!--l. 703--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-201-" ><colgroup id="TBL-201-1g"><col
-id="TBL-201-1"><col
-id="TBL-201-2"></colgroup><tr
- valign="baseline" id="TBL-201-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-201-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-200.svg" width="139.77603 " height="192.63437 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-201-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=examplefill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Clockwise</span><span
-class="cmsltt-10x-x-80">&nbsp;rectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Counter-clockwise</span><span
-class="cmsltt-10x-x-80">&nbsp;rectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0.25,0.25)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.75,0.25)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.75,0.75)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.25,0.75)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;(.4,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0.75,0.75)</span><span
-class="cmtt-8">&nbsp;(0.3,.75);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{crossings:</span><span
-class="cmtt-8">&nbsp;$-1+1</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;0$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[yshift=-3cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=examplefill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Clockwise</span><span
-class="cmsltt-10x-x-80">&nbsp;rectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Clockwise</span><span
-class="cmsltt-10x-x-80">&nbsp;rectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0.25,0.25)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.25,0.75)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.75,0.75)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.75,0.25)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;(.4,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0.25,0.75)</span><span
-class="cmtt-8">&nbsp;(0.4,.75);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{crossings:</span><span
-class="cmtt-8">&nbsp;$1+1</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;2$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">even odd rule</span><a
- id="dx11-129003"></a><a
- id="dx11-129004"></a> This option causes a different method to be used for determining the inside and outside of
- paths. While it is less flexible, it turns out to be more intuitive.
- <!--l. 736--><p class="noindent">With this method, we also shoot rays from the point for which we wish to determine whether it is inside or
- outside the filling area. However, this time we only count how often we &#8220;hit&#8221; the path and declare the point to
- be &#8220;inside&#8221; if the number of hits is odd.
- <!--l. 741--><p class="noindent">Using the even-odd rule, it is easy to &#8220;drill holes&#8221; into a path.
- <!--l. 743--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-202-" ><colgroup id="TBL-202-1g"><col
-id="TBL-202-1"><col
-id="TBL-202-2"></colgroup><tr
- valign="baseline" id="TBL-202-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-202-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-201.svg" width="123.47992 " height="78.82379 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-202-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=examplefill,even</span><span
-class="cmtt-8">&nbsp;odd</span><span
-class="cmtt-8">&nbsp;rule]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.4cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;[above]</span><span
-class="cmtt-8">&nbsp;node{crossings:</span><span
-class="cmtt-8">&nbsp;$1+1</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;2$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 754--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.3.2 </span> <a
- id="x11-13000010.3.2"></a>Graphic Parameters: Fill Opacity</h5>
-<!--l. 757--><p class="noindent">Analogously to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span><span
-class="cmtt-10">&nbsp;opacity</span></span></span>, you can also set the filling opacity:
-
-
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">fill opacity</span><a
- id="dx11-130001"></a><a
- id="dx11-130002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>This option sets the opacity of fillings. In addition to filling operations, this
- opacity also applies to text and images.
- <!--l. 765--><p class="noindent">Note, again, that when you use PostScript as your output format, this option works only with recent
- versions of GhostScript.
- <!--l. 768--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-203-" ><colgroup id="TBL-203-1g"><col
-id="TBL-203-1"><col
-id="TBL-203-2"></colgroup><tr
- valign="baseline" id="TBL-203-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-203-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-202.svg" width="150.02034 " height="158.82378 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-203-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick,fill</span><span
-class="cmtt-8">&nbsp;opacity=0.5]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0:1cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(12mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green]</span><span
-class="cmtt-8">&nbsp;(120:1cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(12mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(-120:1cm)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(12mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 776--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-204-" ><colgroup id="TBL-204-1g"><col
-id="TBL-204-1"><col
-id="TBL-204-2"></colgroup><tr
- valign="baseline" id="TBL-204-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-204-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-203.svg" width="142.33182 " height="104.65405 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-204-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{\huge</span><span
-class="cmtt-8">&nbsp;A};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[fill</span><span
-class="cmtt-8">&nbsp;opacity=0.5]</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(3,2)</span><span
-class="cmtt-8">&nbsp;{\huge</span><span
-class="cmtt-8">&nbsp;B};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 787--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.4 </span> <a
- id="x11-13100010.4"></a>Shading a Path</h4>
-<!--l. 789--><p class="noindent">You can shade a path using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> option. A shading is like a filling, only the shading changes its color smoothly
-from one color to another.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">shade</span><a
- id="dx11-131001"></a><a
- id="dx11-131002"></a> Causes the path to be shaded using the currently selected shading (more on this later). If this
- option is used together with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option, then the path is first shaded, then drawn.
- <!--l. 799--><p class="noindent">It is not an error to use this option together with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> option, but it makes no sense.
- <!--l. 802--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-205-" ><colgroup id="TBL-205-1g"><col
-id="TBL-205-1"><col
-id="TBL-205-2"></colgroup><tr
- valign="baseline" id="TBL-205-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-205-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-204.svg" width="12.4814 " height="12.4814 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-205-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shade</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 806--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-206-" ><colgroup id="TBL-206-1g"><col
-id="TBL-206-1"><col
-id="TBL-206-2"></colgroup><tr
- valign="baseline" id="TBL-206-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-206-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-205.svg" width="13.01471 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-206-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-<!--l. 811--><p class="indent"> For some shadings it is not really clear how they can &#8220;fill&#8221; the path. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span></span></span> shading normally
-looks like this: <object data="pgfmanual-206.svg" width="9.61104 " height="9.61104 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. How is this supposed to shade a rectangle? Or a triangle?
-
-
-<!--l. 816--><p class="indent"> To solve this problem, the predefined shadings like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">axis</span></span></span> fill a large rectangle completely in a sensible
-way. Then, when the shading is used to &#8220;shade&#8221; a path, what actually happens is that the path is temporarily used
-for clipping and then the rectangular shading is drawn, scaled and shifted such that all parts of the path are
-filled.
-<!--l. 824--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.4.1 </span> <a
- id="x11-13200010.4.1"></a>Choosing a Shading Type</h5>
-<!--l. 826--><p class="noindent">The default shading is a smooth transition from gray to white and from above to bottom. However, other shadings
-are also possible, for example a shading that will sweep a color from the center to the corners outward. To choose
-the shading, you can use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shading=</span></span></span> option, which will also automatically invoke the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> option. Note that this
-does <span
-class="cmti-10">not </span>change the shading color, only the way the colors sweep. For changing the colors, other options are needed,
-which are explained below.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">shading</span><a
- id="dx11-132001"></a><a
- id="dx11-132002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>This selects a shading named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>. The following shadings are predefined:
- <ul class="itemize2">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">axis</span></span></span> This is the default shading in which the color changes gradually between three horizontal
- lines. The top line is at the top (uppermost) point of the path, the middle is in the middle, the
- bottom line is at the bottom of the path.
- <!--l. 846--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-207-" ><colgroup id="TBL-207-1g"><col
-id="TBL-207-1"><col
-id="TBL-207-2"></colgroup><tr
- valign="baseline" id="TBL-207-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-207-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-207.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-207-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;[shading=axis]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 850--><p class="noindent">The default top color is gray, the default bottom color is white, the default middle is the &#8220;middle&#8221; of
- these two.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">radial</span></span></span> This shading fills the path with a gradual sweep from a certain color in the middle to another
- color at the border. If the path is a circle, the outer color will be reached exactly at the border. If the
- shading is not a circle, the outer color will continue a bit towards the corners. The default inner color is
- gray, the default outer color is white.
- <!--l. 860--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-208-" ><colgroup id="TBL-208-1g"><col
-id="TBL-208-1"><col
-id="TBL-208-2"></colgroup><tr
- valign="baseline" id="TBL-208-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-208-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-208.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-208-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;[shading=radial]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span></span></span> This shading fills the path with a shading that &#8220;looks like a ball.&#8221; The default &#8220;color&#8221; of the ball is
- blue (for no particular reason).
- <!--l. 868--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-209-" ><colgroup id="TBL-209-1g"><col
-id="TBL-209-1"><col
-id="TBL-209-2"></colgroup><tr
- valign="baseline" id="TBL-209-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-209-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-209.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-209-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;[shading=ball]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 872--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-210-" ><colgroup id="TBL-210-1g"><col
-id="TBL-210-1"><col
-id="TBL-210-2"></colgroup><tr
- valign="baseline" id="TBL-210-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-210-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-210.svg" width="39.47014 " height="39.47014 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-210-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;[shading=ball]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </li>
- <li class="itemize"><span
-class="cmtt-10">shading angle</span><a
- id="dx11-132003"></a><a
- id="dx11-132004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degrees</span><span
-class="cmsy-10">&gt; </span>This option rotates the shading (not the path!) by the given angle. For
- example, we can turn a top-to-bottom axis shading into a left-to-right shading by rotating it by
- 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- <!--l. 881--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-211-" ><colgroup id="TBL-211-1g"><col
-id="TBL-211-1"><col
-id="TBL-211-2"></colgroup><tr
- valign="baseline" id="TBL-211-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-211-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-211.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-211-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\shadedraw</span><span
-class="cmtt-8">&nbsp;[shading=axis,shading</span><span
-class="cmtt-8">&nbsp;angle=90]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li></ul>
-<!--l. 887--><p class="indent"> You can also define new shading types yourself. However, for this, you need to use the basic layer directly, which
-is, well, more basic and harder to use. Details on how to create a shading appropriate for filling paths are given in
-Section&nbsp;<a
-href="pgfmanualse28.html#x29-28900028.3">28.3<!--tex4ht:ref: section-shading-a-path --></a>.
-<!--l. 894--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">10.4.2 </span> <a
- id="x11-13300010.4.2"></a>Choosing a Shading Color</h5>
-<!--l. 896--><p class="noindent">The following options can be used to change the colors used for shadings. When one of these options is given, the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> option is automatically selected and also the &#8220;right&#8221; shading.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">top color</span><a
- id="dx11-133001"></a><a
- id="dx11-133002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option prescribes the color to be used at the top in an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">axis</span></span></span> shading. When this
- option is given, several things happen:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x11-133004x1"></a>The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> option is selected.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x11-133006x2"></a>The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shading=axis</span></span></span> option is selected.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x11-133008x3"></a>The middle color of the axis shading is set to the average of the given top color <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>and of
- whatever color is currently selected for the bottom.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x11-133010x4"></a>The rotation angle of the shading is set to 0.</li></ol>
- <!--l. 917--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-212-" ><colgroup id="TBL-212-1g"><col
-id="TBL-212-1"><col
-id="TBL-212-2"></colgroup><tr
- valign="baseline" id="TBL-212-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-212-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-212.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-212-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[top</span><span
-class="cmtt-8">&nbsp;color=red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">bottom color</span><a
- id="dx11-133011"></a><a
- id="dx11-133012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">top</span><span
-class="cmtt-10">&nbsp;color</span></span></span>, only for the bottom color.
- </li>
- <li class="itemize"><span
-class="cmtt-10">middle color</span><a
- id="dx11-133013"></a><a
- id="dx11-133014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option specifies the color for the middle of an axis shading. It also sets the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span>
- and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shading=axis</span></span></span> options, but it does not change the rotation angle.
- <!--l. 929--><p class="noindent"><span
-class="cmti-10">Note: </span>Since both <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">top</span><span
-class="cmtt-10">&nbsp;color</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bottom</span><span
-class="cmtt-10">&nbsp;color</span></span></span> change the middle color, this option should be given <span
-class="cmti-10">last </span>if all
- of these options need to be given:
- <!--l. 933--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-213-" ><colgroup id="TBL-213-1g"><col
-id="TBL-213-1"><col
-id="TBL-213-2"></colgroup><tr
- valign="baseline" id="TBL-213-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-213-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-213.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-213-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[top</span><span
-class="cmtt-8">&nbsp;color=white,bottom</span><span
-class="cmtt-8">&nbsp;color=black,middle</span><span
-class="cmtt-8">&nbsp;color=red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">left color</span><a
- id="dx11-133015"></a><a
- id="dx11-133016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option does exactly the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">top</span><span
-class="cmtt-10">&nbsp;color</span></span></span>, except that the shading angle is set to
- 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">right color</span><a
- id="dx11-133017"></a><a
- id="dx11-133018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">left</span><span
-class="cmtt-10">&nbsp;color</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">inner color</span><a
- id="dx11-133019"></a><a
- id="dx11-133020"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option sets the color used at the center of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">radial</span></span></span> shading. When this option is
- used, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shading=radial</span></span></span> options are set.
- <!--l. 950--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-214-" ><colgroup id="TBL-214-1g"><col
-id="TBL-214-1"><col
-id="TBL-214-2"></colgroup><tr
- valign="baseline" id="TBL-214-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-214-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-214.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-214-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[inner</span><span
-class="cmtt-8">&nbsp;color=red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer color</span><a
- id="dx11-133021"></a><a
- id="dx11-133022"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option sets the color used at the border and outside of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">radial</span></span></span>
- shading.
- <!--l. 958--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-215-" ><colgroup id="TBL-215-1g"><col
-id="TBL-215-1"><col
-id="TBL-215-2"></colgroup><tr
- valign="baseline" id="TBL-215-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-215-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-215.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-215-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[outer</span><span
-class="cmtt-8">&nbsp;color=red,inner</span><span
-class="cmtt-8">&nbsp;color=white]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">ball color</span><a
- id="dx11-133023"></a><a
- id="dx11-133024"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>This option sets the color used for the ball shading. It sets the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shading=ball</span></span></span>
- options. Note that the ball will never &#8220;completely&#8221; have the color <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span>. At its &#8220;highlight&#8221; spot a certain
- amount of white is mixed in, at the border a certain amount of black. Because of this, it also makes sense to
- say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span><span
-class="cmtt-10">&nbsp;color=white</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span><span
-class="cmtt-10">&nbsp;color=black</span></span></span>
- <!--l. 971--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-216-" ><colgroup id="TBL-216-1g"><col
-id="TBL-216-1"><col
-id="TBL-216-2"></colgroup><tr
- valign="baseline" id="TBL-216-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-216-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-216.svg" width="99.83649 " height="23.9628 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-216-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[ball</span><span
-class="cmtt-8">&nbsp;color=white]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[ball</span><span
-class="cmtt-8">&nbsp;color=red]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2ex);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[ball</span><span
-class="cmtt-8">&nbsp;color=black]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2ex);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 983--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.5 </span> <a
- id="x11-13400010.5"></a>Establishing a Bounding Box</h4>
-<!--l. 985--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;is reasonably good at keeping track of the size of your picture and reserving just the right amount of
-space for it in the main document. However, in some cases you may want to say things like &#8220;do not
-count this for the picture size&#8221; or &#8220;the picture is actually a little large.&#8221; For this you can use the
-option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box</span></span></span> or the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\useasboundingbox</span></span></span>, which is just a shorthand for
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box]</span></span></span>.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">use as bounding box</span><a
- id="dx11-134001"></a><a
- id="dx11-134002"></a> Normally, when this option is given on a path, the bounding box of the present
- path is used to determine the size of the picture and the size of all <span
-class="cmti-10">subsequent </span>paths are ignored.
- However, if there were previous path operations that have already established a larger bounding box,
- it will not be made smaller by this operation.
- <!--l. 1002--><p class="noindent">In a sense, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box</span></span></span> has the same effect as clipping all subsequent drawing against the
- current path--without actually doing the clipping, only making <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;treat everything as if it were
- clipped.
- <!--l. 1007--><p class="noindent">The first application of this option is to have a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> overlap with the main text:
- <!--l. 1010--><p class="noindent"><div class="obeylines-v"></div>Left of picture<object data="pgfmanual-217.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>right of picture.<!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-217-" ><colgroup id="TBL-217-1g"><col
-id="TBL-217-1"></colgroup><tr
- valign="baseline" id="TBL-217-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-217-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Left</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;picture\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[use</span><span
-class="cmtt-8">&nbsp;as</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,.75);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}right</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;picture.</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 1017--><p class="noindent">In a second application this option can be used to get better control over the white space around the
- picture:
- <!--l. 1020--><p class="noindent"><div class="obeylines-v"></div>Left of picture<object data="pgfmanual-218.svg" width="114.81053 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>right of picture.<!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-218-" ><colgroup id="TBL-218-1g"><col
-id="TBL-218-1"></colgroup><tr
- valign="baseline" id="TBL-218-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-218-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Left</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;picture</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(.75,.25)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span>
-<br><span
-class="cmtt-8">right</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;picture.</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
-
-
- <!--l. 1029--><p class="noindent">Note: If this option is used on a path inside a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group (scope), the effect &#8220;lasts&#8221; only till the end of the
- scope. Again, this behavior is the same as for clipping.</li></ul>
-<!--l. 1034--><p class="indent"> There is a node that allows you to get the size of the current bounding box. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">current</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box</span></span></span> node
-has the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape and its size is always the size of the current bounding
-box.
-<!--l. 1040--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-219-" ><colgroup id="TBL-219-1g"><col
-id="TBL-219-1"><col
-id="TBL-219-2"></colgroup><tr
- valign="baseline" id="TBL-219-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-219-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-219.svg" width="124.67714 " height="88.07361 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-219-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(3pt);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.south</span><span
-class="cmtt-8">&nbsp;west)</span><span
-class="cmtt-8">&nbsp;rectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.north</span><span
-class="cmtt-8">&nbsp;east);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(3,-1)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(4pt);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick]</span><span
-class="cmtt-8">&nbsp;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.south</span><span
-class="cmtt-8">&nbsp;west)</span><span
-class="cmtt-8">&nbsp;rectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.north</span><span
-class="cmtt-8">&nbsp;east);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1059--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">10.6 </span> <a
- id="x11-13500010.6"></a>Using a Path For Clipping</h4>
-<!--l. 1061--><p class="noindent">To use a path for clipping, use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> option.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">clip</span><a
- id="dx11-135001"></a><a
- id="dx11-135002"></a> This option causes all subsequent drawings to be clipped against the current path and the size of
- subsequent paths will not be important for the picture size. If you clip against a self-intersecting path,
- the even-odd rule or the nonzero winding number rule is used to determine whether a point is inside
- or outside the clipping region.
- <!--l. 1071--><p class="noindent">The clipping path is a graphic state parameter, so it will be reset at the end of the current scope.
- Multiple clippings accumulate, that is, clipping is always done against the intersection of all clipping
- areas that have been specified inside the current scopes. The only way of enlarging the clipping area
- is to end a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span>.
- <!--l. 1077--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-220-" ><colgroup id="TBL-220-1g"><col
-id="TBL-220-1"><col
-id="TBL-220-2"></colgroup><tr
- valign="baseline" id="TBL-220-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-220-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-220.svg" width="77.40701 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-220-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[clip]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 1084--><p class="noindent">It is usually a <span
-class="cmti-10">very </span>good idea to apply the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> option only to the first path command in a
- scope.
- <!--l. 1087--><p class="noindent">If you &#8220;only wish to clip&#8221; and do not wish to draw anything, you can use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> command, which is a
- shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[clip]</span></span></span>.
-
-
- <!--l. 1090--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-221-" ><colgroup id="TBL-221-1g"><col
-id="TBL-221-1"><col
-id="TBL-221-2"></colgroup><tr
- valign="baseline" id="TBL-221-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-221-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-221.svg" width="76.87369 " height="76.87369 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-221-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 1097--><p class="noindent">To keep clipping local, use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environments as in the following example:
- <!--l. 1100--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-222-" ><colgroup id="TBL-222-1g"><col
-id="TBL-222-1"><col
-id="TBL-222-2"></colgroup><tr
- valign="baseline" id="TBL-222-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-222-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-222.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-222-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(</span><span
-class="cmtt-8">&nbsp;0:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(20:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(30:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[fill=red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[clip]</span><span
-class="cmtt-8">&nbsp;(0.2,0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(0.5,0.5);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(40:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(50:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(60:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(70:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(80:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(90:1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 1119--><p class="noindent">There is a slightly annoying catch: You cannot specify certain graphic options for the command used for
- clipping. For example, in the above code we could not have moved the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill=red</span></span></span> to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\fill</span></span></span> command. The
- reasons for this have to do with the internals of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;specification. You do not want to know the details. It
- is best simply not to specify any options for these commands.</li></ul>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse11.html" >next</a>] [<a
-href="pgfmanualse9.html" >prev</a>] [<a
-href="pgfmanualse9.html#tailpgfmanualse9.html" >prev-tail</a>] [<a
-href="pgfmanualse10.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse10.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse10.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse11.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse11.html
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>11 Nodes</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse12.html" >next</a>] [<a
-href="pgfmanualse10.html" >prev</a>] [<a
-href="pgfmanualse10.html#tailpgfmanualse10.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse11.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse11.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">11 </span> <a
- id="x12-13600011"></a>Nodes</h3>
-<!--l. 12--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.1 </span> <a
- id="x12-13700011.1"></a>Nodes and Their Shapes</h4>
-<!--l. 14--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;offers an easy way of adding so-called <span
-class="cmti-10">nodes </span>to your pictures. In the simplest case, a node is just some text
-that is placed at some coordinate. However, a node can also have a border drawn around it or have a more complex
-background and foreground. Indeed, some nodes do not have a text at all, but consist solely of the background. You
-can name nodes so that you can reference their coordinates later in the picture. However, <span
-class="cmti-10">nodes cannot be referenced</span>
-<span
-class="cmti-10">across different pictures</span>.
-<!--l. 23--><p class="indent"> There are no special <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;commands for adding a node to a picture; rather, there is path operation called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span>
-for this. Nodes are created whenever Ti<span
-class="cmti-10">k</span>Z&nbsp;encounters <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> at a point on a path where it would
-expect a normal path operation (like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span><span
-class="cmtt-10">&nbsp;(1,1)</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span><span
-class="cmtt-10">&nbsp;(1,1)</span></span></span>). It is also possible to give node specifications <span
-class="cmti-10">inside</span>
-certain path operations as explained later.
-<!--l. 30--><p class="indent"> The node operation is typically followed by some options, which apply only to the node. Then, you can
-optionally <span
-class="cmti-10">name </span>the node by providing a name in round braces. Lastly, for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation you must provide
-some label text for the node in curly braces, while for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> operation you may not. The node is placed at
-the current position of the path <span
-class="cmti-10">after the path has been drawn</span>. Thus, all nodes are drawn &#8220;on top&#8221; of the path and
-retained until the path is complete. If there are several nodes on a path, they are drawn on top of the path in the
-order they are encountered.
-<!--l. 41--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-223-" ><colgroup id="TBL-223-1g"><col
-id="TBL-223-1"><col
-id="TBL-223-2"></colgroup><tr
- valign="baseline" id="TBL-223-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-223-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-223.svg" width="113.8061 " height="95.0208 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-223-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[fill=examplefill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{first</span><span
-class="cmtt-8">&nbsp;node}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{second</span><span
-class="cmtt-8">&nbsp;node}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{third</span><span
-class="cmtt-8">&nbsp;node};</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 48--><p class="indent"> The syntax for specifying nodes is the following:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox83"><span id="textcolor84"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">node</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span>&nbsp;<span id="textcolor85">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx12-137001"></a>
-<a
- id="dx12-137002"></a>
- <!--l. 51--><p class="noindent">The effect of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at</span></span></span> is to place the node at the coordinate given after <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at</span></span></span> and not, as would normally be the
- case, at the last position. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at</span></span></span> syntax is not available when a node is given inside a path operation
- (it would not make any sense, there).
- <!--l. 56--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> is a name for later reference and it is optional. You may also add the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">name=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>
- to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">option</span><span
-class="cmsy-10">&gt; </span>list; it has the same effect.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">name</span><a
- id="dx12-137003"></a><a
- id="dx12-137004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt; </span>assigns a name to the node for later reference. Since this is a &#8220;high-level&#8221; name
- (drivers never know of it), you can use spaces, number, letters, or whatever you like when naming
- a node. Thus, you can name a node just <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span> or perhaps <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">start</span><span
-class="cmtt-10">&nbsp;of</span><span
-class="cmtt-10">&nbsp;chart</span></span></span> or even <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">y_1</span></span></span>. Your node
- name should <span
-class="cmti-10">not </span>contain any punctuation like a dot, a comma, or a colon since these are used to
- detect what kind of coordinate you mean when you reference a node.</li></ul>
-
-
- <!--l. 71--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>is an optional list of options that <span
-class="cmti-10">apply only to the node </span>and have no effect outside. The other
- way round, most &#8220;outside&#8221; options also apply to the node, but not all. For example, the &#8220;outside&#8221; rotation
- does not apply to nodes (unless some special options are used, sigh). Also, the outside path action, like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span>
- or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span>, never applies to the node and must be given in the node (unless some special other options are used,
- deep sigh).
- <!--l. 79--><p class="noindent">As mentioned before, we can add a border and even a background to a node:
- <!--l. 81--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-224-" ><colgroup id="TBL-224-1g"><col
-id="TBL-224-1"><col
-id="TBL-224-2"></colgroup><tr
- valign="baseline" id="TBL-224-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-224-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-224.svg" width="115.00609 " height="95.95412 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-224-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[fill=examplefill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{first</span><span
-class="cmtt-8">&nbsp;node}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node[draw]</span><span
-class="cmtt-8">&nbsp;{second</span><span
-class="cmtt-8">&nbsp;node}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;node[fill=red!20,draw,double,rounded</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;{third</span><span
-class="cmtt-8">&nbsp;node};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 88--><p class="noindent">The &#8220;border&#8221; is actually just a special case of a much more general mechanism. Each node has a certain <span
-class="cmti-10">shape</span>
- which, by default, is a rectangle. However, we can also ask Ti<span
-class="cmti-10">k</span>Z&nbsp;to use a circle shape instead or an ellipse
- shape (you have to include <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryshapes</span></span></span> for the latter shape):
- <!--l. 94--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-225-" ><colgroup id="TBL-225-1g"><col
-id="TBL-225-1"><col
-id="TBL-225-2"></colgroup><tr
- valign="baseline" id="TBL-225-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-225-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-225.svg" width="131.56393 " height="121.94939 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-225-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[fill=examplefill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node{first</span><span
-class="cmtt-8">&nbsp;node}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node[ellipse,draw]</span><span
-class="cmtt-8">&nbsp;{second</span><span
-class="cmtt-8">&nbsp;node}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;node[circle,fill=red!20]</span><span
-class="cmtt-8">&nbsp;{third</span><span
-class="cmtt-8">&nbsp;node};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 101--><p class="noindent">In the future, there might be much more complicated shapes available such as, say, a shape for a
- resistor or a shape for a state of a finite automaton or a shape for a <span
-class="cmcsc-10"><small
-class="small-caps">U</small><small
-class="small-caps">M</small><small
-class="small-caps">L</small> </span>class. Unfortunately,
- creating new shapes is a bit tricky and makes it necessary to use the basic layer directly. Life is
- hard.
- <!--l. 107--><p class="noindent">To select the shape of a node, the following option is used:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">shape</span><a
- id="dx12-137005"></a><a
- id="dx12-137006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape name</span><span
-class="cmsy-10">&gt; </span>select the shape either of the current node or, when this option is not given
- inside a node but somewhere outside, the shape of all nodes in the current scope.<a
- id="dx12-137007"></a><a
- id="dx12-137008"></a>
- <!--l. 115--><p class="noindent">Since this option is used often, you can leave out the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shape=</span></span></span>. When Ti<span
-class="cmti-10">k</span>Z&nbsp;encounters an option
- like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span> that it does not know, it will, after everything else has failed, check whether this
- option is the name of some shape. If so, that shape is selected as if you had said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shape=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape</span>
- <span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 121--><p class="noindent">By default, the following shapes are available: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>, and, when the
- package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryshapes</span></span></span> is loaded, also <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span>. Details of these shapes, like their anchors
- and size options, are discussed in Section&nbsp;<a
-href="#x12-14600011.8">11.8<!--tex4ht:ref: section-the-shapes --></a>.</li></ul>
- <!--l. 127--><p class="noindent">The following styles influences how nodes are rendered:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every node</span><a
- id="dx12-137009"></a><a
- id="dx12-137010"></a> This style is installed at the beginning of every node.
-
-
- <!--l. 131--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-226-" ><colgroup id="TBL-226-1g"><col
-id="TBL-226-1"><col
-id="TBL-226-2"></colgroup><tr
- valign="baseline" id="TBL-226-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-226-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-226.svg" width="58.08026 " height="57.46912 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-226-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">shape</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node</span><a
- id="dx12-137011"></a><a
- id="dx12-137012"></a> These styles are installed at the beginning of a node of a given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape</span><span
-class="cmsy-10">&gt;</span>. For
- example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">every</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;node</span></span></span> is used for rectangle nodes, and so on.
- <!--l. 142--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-227-" ><colgroup id="TBL-227-1g"><col
-id="TBL-227-1"><col
-id="TBL-227-2"></colgroup><tr
- valign="baseline" id="TBL-227-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-227-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-227.svg" width="62.4033 " height="61.95885 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-227-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;node}=[draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;node}=</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[draw,double]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[rectangle]</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node[circle]</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </dd></dl>
-<!--l. 152--><p class="indent"> The is a special syntax for specifying &#8220;light-weighed&#8221; nodes:
-<!--l. 154--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox86"><span id="textcolor87"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">coordinate</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>&nbsp;<span id="textcolor88">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx12-137013"></a>
-<a
- id="dx12-137014"></a>
- <!--l. 155--><p class="noindent">This has the same effect as
- <!--l. 157--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node[shape=coordinate][</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">](</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)at(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">){}</span></span></span>,
- <!--l. 159--><p class="noindent">where the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">at</span></span></span> part might be missing. </dd></dl>
-<!--l. 164--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.2 </span> <a
- id="x12-13800011.2"></a>Multi-Part Nodes</h4>
-<!--l. 166--><p class="noindent">Most nodes just have a single simple text label. However, nodes of a more complicated shapes might be made up
-from several <span
-class="cmti-10">node parts</span>. For example, in automata theory a so-called Moore state has a state name, drawn in the
-upper part of the state circle, and an output text, drawn in the lower part of the state circle. These two parts are
-quite independent. Similarly, a <span
-class="cmcsc-10"><small
-class="small-caps">U</small><small
-class="small-caps">M</small><small
-class="small-caps">L</small> </span>class shape would have a name part, a method part, and an attributes part.
-Different molecule shape might use parts for the different atoms to be drawn at the different positions, and so
-on.
-<!--l. 176--><p class="indent"> Both <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z&nbsp;support such multipart nodes. On the lower level, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;provides a system for specifying
-that a shape consists of several parts. On the Ti<span
-class="cmti-10">k</span>Z&nbsp;level, you specify the different node parts by using the following
-command:
-<!--l. 181--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox89"><span
-class="cmtt-10">\nodepart</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">part name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx12-138001"></a>
- <!--l. 182--><p class="noindent">This command can only be used inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>argument of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> path operation. It works a little
- bit like a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\part</span></span></span> command in <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>. It will stop the typesetting of whatever node part was typeset
- until now and then start putting all following text into the node part named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">part name</span><span
-class="cmsy-10">&gt;</span>--until another
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\partname</span></span></span> is encountered or until the node <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>ends.
-
-
- <!--l. 189--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-228-" ><colgroup id="TBL-228-1g"><col
-id="TBL-228-1"><col
-id="TBL-228-2"></colgroup><tr
- valign="baseline" id="TBL-228-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-228-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-228.svg" width="44.43355 " height="44.43355 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-228-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output,draw,double,fill=red!20]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;No</span><span
-class="cmsltt-10x-x-80">&nbsp;\nodepart</span><span
-class="cmsltt-10x-x-80">&nbsp;has</span><span
-class="cmsltt-10x-x-80">&nbsp;been</span><span
-class="cmsltt-10x-x-80">&nbsp;used,</span><span
-class="cmsltt-10x-x-80">&nbsp;yet.</span><span
-class="cmsltt-10x-x-80">&nbsp;So,</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;following</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;put</span><span
-class="cmsltt-10x-x-80">&nbsp;in</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;``text''</span><span
-class="cmsltt-10x-x-80">&nbsp;node</span><span
-class="cmsltt-10x-x-80">&nbsp;part</span><span
-class="cmsltt-10x-x-80">&nbsp;by</span><span
-class="cmsltt-10x-x-80">&nbsp;default.</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;$q_1$</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\nodepart{output}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Ok,</span><span
-class="cmsltt-10x-x-80">&nbsp;end</span><span
-class="cmsltt-10x-x-80">&nbsp;``text''</span><span
-class="cmsltt-10x-x-80">&nbsp;part,</span><span
-class="cmsltt-10x-x-80">&nbsp;start</span><span
-class="cmsltt-10x-x-80">&nbsp;``output''</span><span
-class="cmsltt-10x-x-80">&nbsp;part</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;$00$</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;output</span><span
-class="cmsltt-10x-x-80">&nbsp;part</span><span
-class="cmsltt-10x-x-80">&nbsp;ended.</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 202--><p class="noindent">You will have to lookup which parts are defined by a shape.
- <!--l. 204--><p class="noindent">The following styles influences node parts:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">part name</span><span
-class="cmsy-10">&gt; </span><span
-class="cmtt-10">node part</span><a
- id="dx12-138002"></a><a
- id="dx12-138003"></a> This style is installed at the beginning of every node part named
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">part name</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 209--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-229-" ><colgroup id="TBL-229-1g"><col
-id="TBL-229-1"><col
-id="TBL-229-2"></colgroup><tr
- valign="baseline" id="TBL-229-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-229-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-229.svg" width="43.10022 " height="43.10022 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-229-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;output</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;part}=[red]</span>
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output,draw]</span><span
-class="cmtt-8">&nbsp;{$q_1$</span><span
-class="cmtt-8">&nbsp;\nodepart{output}</span><span
-class="cmtt-8">&nbsp;$00$};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </dd></dl>
-<!--l. 218--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.3 </span> <a
- id="x12-13900011.3"></a>Options for the Text in Nodes</h4>
-<!--l. 220--><p class="noindent">The simplest option for the text in nodes is its color. Normally, this color is just the last color installed using
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span>, possibly inherited from another scope. However, it is possible to specificly set the color used for text using
-the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">text</span><a
- id="dx12-139001"></a><a
- id="dx12-139002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>Sets the color to be used for text labels. A <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option will immediately override this
- option.
- <!--l. 229--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-230-" ><colgroup id="TBL-230-1g"><col
-id="TBL-230-1"><col
-id="TBL-230-2"></colgroup><tr
- valign="baseline" id="TBL-230-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-230-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-230.svg" width="128.7989 " height="57.61726 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-230-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{red};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[text=red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{red};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;node[above,red]</span><span
-class="cmtt-8">&nbsp;{red};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 238--><p class="indent"> Just like the color itself, you may also wish to set the opacity of the text only. For this, use the following
-option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">text opacity</span><a
- id="dx12-139003"></a><a
- id="dx12-139004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>Sets the opacity of text labels.
-
-
- <!--l. 243--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-231-" ><colgroup id="TBL-231-1g"><col
-id="TBL-231-1"><col
-id="TBL-231-2"></colgroup><tr
- valign="baseline" id="TBL-231-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-231-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-231.svg" width="122.39786 " height="96.85042 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-231-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=2mm,blue!50,cap=round]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[fill,draw]</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[opacity=0.5]</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(1.5,2)</span><span
-class="cmtt-8">&nbsp;{Upper</span><span
-class="cmtt-8">&nbsp;node};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[draw</span><span
-class="cmtt-8">&nbsp;opacity=0.8,fill</span><span
-class="cmtt-8">&nbsp;opacity=0.2,text</span><span
-class="cmtt-8">&nbsp;opacity=1]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;{Lower</span><span
-class="cmtt-8">&nbsp;node};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 255--><p class="indent"> Next, you may wish to adjust the font used for the text. Use the following option for this:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">font</span><a
- id="dx12-139005"></a><a
- id="dx12-139006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">font commands</span><span
-class="cmsy-10">&gt; </span>Sets the font used for text labels.
- <!--l. 260--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-232-" ><colgroup id="TBL-232-1g"><col
-id="TBL-232-1"><col
-id="TBL-232-2"></colgroup><tr
- valign="baseline" id="TBL-232-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-232-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-232.svg" width="58.12878 " height="57.61726 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-232-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[font=\itshape]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{italic};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 265--><p class="noindent">A perhaps more useful example is the following:
- <!--l. 267--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-233-" ><colgroup id="TBL-233-1g"><col
-id="TBL-233-1"><col
-id="TBL-233-2"></colgroup><tr
- valign="baseline" id="TBL-233-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-233-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-233.svg" width="56.44781 " height="56.44781 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-233-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;part}=[font=\itshape]</span>
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;output</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;part}=[font=\footnotesize]</span>
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output</span><span
-class="cmtt-8">&nbsp;node}=[draw]</span>
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output]</span><span
-class="cmtt-8">&nbsp;{state</span><span
-class="cmtt-8">&nbsp;\nodepart{output}</span><span
-class="cmtt-8">&nbsp;output};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 276--><p class="indent"> Normally, when a node is typeset, all the text you give in the braces is but in one long line (in an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\hbox</span></span></span>, to be
-precise) and the node will become as wide as necessary.
-<!--l. 280--><p class="indent"> You can change this behaviour using the following options. They allow you to limit the width of a node
-(naturally, at the expense of its height).
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">text width</span><a
- id="dx12-139007"></a><a
- id="dx12-139008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option will put the text of a node in a box of the given width (more
- precisely, in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{minipage}</span></span></span> of this width; for plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;a rudimentary &#8220;minipage emulation&#8221; is used).
- <!--l. 290--><p class="noindent">If the node text is not as wide as <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>, it will nevertheless be put in a box of this width. If it
- is larger, line breaking will be done.
- <!--l. 294--><p class="noindent">By default, when this option is given, a ragged right border will be used. This is sensible since, typically, these
- boxes are narrow and justifying the text looks ugly.
- <!--l. 297--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-234-" ><colgroup id="TBL-234-1g"><col
-id="TBL-234-1"><col
-id="TBL-234-2"></colgroup><tr
- valign="baseline" id="TBL-234-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-234-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-234.svg" width="123.69846 " height="83.14685 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-234-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">text justified</span><a
- id="dx12-139009"></a><a
- id="dx12-139010"></a> causes the text to be justified instead of (right)ragged. Use this only with pretty broad
- nodes.
- <!--l. 306--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-235-" ><colgroup id="TBL-235-1g"><col
-id="TBL-235-1"><col
-id="TBL-235-2"></colgroup><tr
- valign="baseline" id="TBL-235-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-235-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-235.svg" width="123.69846 " height="83.14685 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-235-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm,text</span><span
-class="cmtt-8">&nbsp;justified]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 311--><p class="noindent">In the above example, <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;complains (rightfully) about three very badly typeset lines. (For this
- manual I asked <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;to stop complaining by using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\hbadness=10000</span></span></span>, but this is a foul deed,
- indeed.)
- </li>
- <li class="itemize"><span
-class="cmtt-10">text ragged</span><a
- id="dx12-139011"></a><a
- id="dx12-139012"></a> causes the text to be typeset with a ragged right. This uses the original plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;definition of
- a ragged right border, in which <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;will try to balance the right border as well as possible. This is the
- default.
- <!--l. 320--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-236-" ><colgroup id="TBL-236-1g"><col
-id="TBL-236-1"><col
-id="TBL-236-2"></colgroup><tr
- valign="baseline" id="TBL-236-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-236-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-236.svg" width="123.69846 " height="83.14685 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-236-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm,text</span><span
-class="cmtt-8">&nbsp;ragged]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">text badly ragged</span><a
- id="dx12-139013"></a><a
- id="dx12-139014"></a> causes the right border to be ragged in the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>-style, in which no balancing
- occurs. This looks ugly, but it may be useful for very narrow boxes and when you wish to avoid
- hyphenations.
- <!--l. 328--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-237-" ><colgroup id="TBL-237-1g"><col
-id="TBL-237-1"><col
-id="TBL-237-2"></colgroup><tr
- valign="baseline" id="TBL-237-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-237-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-237.svg" width="123.69846 " height="179.14648 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-237-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm,text</span><span
-class="cmtt-8">&nbsp;badly</span><span
-class="cmtt-8">&nbsp;ragged]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">text centered</span><a
- id="dx12-139015"></a><a
- id="dx12-139016"></a> centers the text, but tries to balance the lines.
- <!--l. 334--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-238-" ><colgroup id="TBL-238-1g"><col
-id="TBL-238-1"><col
-id="TBL-238-2"></colgroup><tr
- valign="baseline" id="TBL-238-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-238-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-238.svg" width="123.69846 " height="85.73946 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-238-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm,text</span><span
-class="cmtt-8">&nbsp;centered]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">text badly centered</span><a
- id="dx12-139017"></a><a
- id="dx12-139018"></a> centers the text, without balancing the lines.
- <!--l. 340--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-239-" ><colgroup id="TBL-239-1g"><col
-id="TBL-239-1"><col
-id="TBL-239-2"></colgroup><tr
- valign="baseline" id="TBL-239-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-239-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-239.svg" width="123.69846 " height="179.14648 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-239-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill,text</span><span
-class="cmtt-8">&nbsp;width=3cm,text</span><span
-class="cmtt-8">&nbsp;badly</span><span
-class="cmtt-8">&nbsp;centered]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;a</span><span
-class="cmtt-8">&nbsp;demonstration</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;showing</span><span
-class="cmtt-8">&nbsp;how</span><span
-class="cmtt-8">&nbsp;line</span><span
-class="cmtt-8">&nbsp;breaking</span><span
-class="cmtt-8">&nbsp;works.};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 348--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.4 </span> <a
- id="x12-14000011.4"></a>Placing Nodes Using Anchors</h4>
-<!--l. 350--><p class="noindent">When you place a node at some coordinate, the node is centered on this coordinate by default. This is often
-undesirable and it would be better to have the node to the right or above the actual coordinate.
-<!--l. 354--><p class="indent"> <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;uses a so-called anchoring mechanism to give you a very fine control over the placement. The idea is simple:
-Imaging a node of rectangular shape of a certain size. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;defines numerous anchor positions in the shape. For
-example to upper right corner is called, well, not &#8220;upper right anchor,&#8221; but the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span> anchor of the shape.
-The center of the shape has an anchor called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span> on top of it, and so on. Here are some examples (a complete
-list is given in Section&nbsp;<a
-href="#x12-14600011.8">11.8<!--tex4ht:ref: section-the-shapes --></a>).
-<!--l. 363--><p class="noindent"><object data="pgfmanual-240.svg" width="270.10464 " height="94.44304 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-<!--l. 374--><p class="indent"> Now, when you place a node at a certain coordinate, you can ask Ti<span
-class="cmti-10">k</span>Z&nbsp;to place the node shifted around in such
-a way that a certain anchor is at the coordinate. In the following example, we ask Ti<span
-class="cmti-10">k</span>Z&nbsp;to shift the first node such
-that its <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span> anchor is at coordinate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span> and that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">west</span></span></span> anchor of the second node is at coordinate
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>.
-<!--l. 381--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-241.svg" width="183.35683 " height="66.42416 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-240-" ><colgroup id="TBL-240-1g"><col
-id="TBL-240-1"></colgroup><tr
- valign="baseline" id="TBL-240-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-240-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[anchor=north</span><span
-class="cmtt-8">&nbsp;east]</span><span
-class="cmtt-8">&nbsp;{first</span><span
-class="cmtt-8">&nbsp;node}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node[anchor=west]</span><span
-class="cmtt-8">&nbsp;{second</span><span
-class="cmtt-8">&nbsp;node};</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 386--><p class="indent"> Since the default anchor is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span>, the default behaviour is to shift the node in such a way that it is centered on
-the current position.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">anchor</span><a
- id="dx12-140001"></a><a
- id="dx12-140002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor name</span><span
-class="cmsy-10">&gt; </span>causes the node to be shifted such that it&#8217;s anchor <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor name</span><span
-class="cmsy-10">&gt; </span>lies on the
- current coordinate.
- <!--l. 395--><p class="noindent">The only anchor that is present in all shapes is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span>. However, most shapes will at least define
- anchors in all &#8220;compass directions.&#8221; Furthermore, the standard shapes also define a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">base</span></span></span> anchor, as
- well as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">base</span><span
-class="cmtt-10">&nbsp;west</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">base</span><span
-class="cmtt-10">&nbsp;east</span></span></span>, for placing things on the baseline of the text.
-
-
- <!--l. 401--><p class="noindent">The standard shapes also define a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mid</span></span></span> anchor (and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mid</span><span
-class="cmtt-10">&nbsp;west</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mid</span><span
-class="cmtt-10">&nbsp;east</span></span></span>). This anchor is half the height of
- the character &#8220;x&#8221; above the base line. This anchor is useful for vertically centering multiple nodes that have
- different heights and depth. Here is an example:
- <!--l. 406--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-242.svg" width="159.80756 " height="170.36287 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-241-" ><colgroup id="TBL-241-1g"><col
-id="TBL-241-1"></colgroup><tr
- valign="baseline" id="TBL-241-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-241-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3,transform</span><span
-class="cmtt-8">&nbsp;shape]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;First,</span><span
-class="cmsltt-10x-x-80">&nbsp;center</span><span
-class="cmsltt-10x-x-80">&nbsp;alignment</span><span
-class="cmsltt-10x-x-80">&nbsp;-&gt;</span><span
-class="cmsltt-10x-x-80">&nbsp;wobbles</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[anchor=center]</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{x}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.5,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{y}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{t};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Second,</span><span
-class="cmsltt-10x-x-80">&nbsp;base</span><span
-class="cmsltt-10x-x-80">&nbsp;alignment</span><span
-class="cmsltt-10x-x-80">&nbsp;-&gt;</span><span
-class="cmsltt-10x-x-80">&nbsp;no</span><span
-class="cmsltt-10x-x-80">&nbsp;wobble,</span><span
-class="cmsltt-10x-x-80">&nbsp;but</span><span
-class="cmsltt-10x-x-80">&nbsp;too</span><span
-class="cmsltt-10x-x-80">&nbsp;high</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[anchor=base]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,.5)</span><span
-class="cmtt-8">&nbsp;node{x}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.5,.5)</span><span
-class="cmtt-8">&nbsp;node{y}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,.5)</span><span
-class="cmtt-8">&nbsp;node{t};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Third,</span><span
-class="cmsltt-10x-x-80">&nbsp;mid</span><span
-class="cmsltt-10x-x-80">&nbsp;alignment</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[anchor=mid]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{x}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.5,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{y}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{t};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 418--><p class="indent"> Unfortunately, while perfectly logical, it is often rather counter-intuitive that in order to place a node <span
-class="cmti-10">above </span>a
-given point, you need to specify the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span> anchor. For this reason, there are some useful options that allow you to
-select the standard anchors more intuitively:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">above</span><a
- id="dx12-140003"></a><a
- id="dx12-140004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=south</span></span></span>. If the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt; </span>is specified, the node is additionally shifted
- upwards by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 428--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-242-" ><colgroup id="TBL-242-1g"><col
-id="TBL-242-1"><col
-id="TBL-242-2"></colgroup><tr
- valign="baseline" id="TBL-242-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-242-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-243.svg" width="43.22119 " height="22.08041 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-242-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br>
-<span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{above};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 431--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-243-" ><colgroup id="TBL-243-1g"><col
-id="TBL-243-1"><col
-id="TBL-243-2"></colgroup><tr
- valign="baseline" id="TBL-243-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-243-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-244.svg" width="43.22119 " height="24.74707 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-243-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[above=2pt]</span><span
-class="cmtt-8">&nbsp;{above};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">above left</span><a
- id="dx12-140005"></a><a
- id="dx12-140006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=south</span><span
-class="cmtt-10">&nbsp;east</span></span></span>. If the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt; </span>is specified, the node is additionally
- shifted upwards and right by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 438--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-244-" ><colgroup id="TBL-244-1g"><col
-id="TBL-244-1"><col
-id="TBL-244-2"></colgroup><tr
- valign="baseline" id="TBL-244-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-244-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-245.svg" width="69.4878 " height="22.08041 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-244-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br>
-<span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[above</span><span
-class="cmtt-8">&nbsp;left]</span><span
-class="cmtt-8">&nbsp;{above</span><span
-class="cmtt-8">&nbsp;left};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 441--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-245-" ><colgroup id="TBL-245-1g"><col
-id="TBL-245-1"><col
-id="TBL-245-2"></colgroup><tr
- valign="baseline" id="TBL-245-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-245-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-246.svg" width="72.15445 " height="24.74707 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-245-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[above</span><span
-class="cmtt-8">&nbsp;left=2pt]</span><span
-class="cmtt-8">&nbsp;{above</span><span
-class="cmtt-8">&nbsp;left};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">above right</span><a
- id="dx12-140007"></a><a
- id="dx12-140008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=south</span><span
-class="cmtt-10">&nbsp;west</span></span></span>.
- <!--l. 446--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-246-" ><colgroup id="TBL-246-1g"><col
-id="TBL-246-1"><col
-id="TBL-246-2"></colgroup><tr
- valign="baseline" id="TBL-246-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-246-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-247.svg" width="78.4137 " height="24.67302 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-246-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[above</span><span
-class="cmtt-8">&nbsp;right]</span><span
-class="cmtt-8">&nbsp;{above</span><span
-class="cmtt-8">&nbsp;right};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">left</span><a
- id="dx12-140009"></a><a
- id="dx12-140010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=east</span></span></span>.
- <!--l. 451--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-247-" ><colgroup id="TBL-247-1g"><col
-id="TBL-247-1"><col
-id="TBL-247-2"></colgroup><tr
- valign="baseline" id="TBL-247-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-247-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-248.svg" width="31.71005 " height="19.1471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-247-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{left};</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">right</span><a
- id="dx12-140011"></a><a
- id="dx12-140012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=west</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">below</span><a
- id="dx12-140013"></a><a
- id="dx12-140014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=north</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">below left</span><a
- id="dx12-140015"></a><a
- id="dx12-140016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=north</span><span
-class="cmtt-10">&nbsp;east</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">below right</span><a
- id="dx12-140017"></a><a
- id="dx12-140018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=north</span><span
-class="cmtt-10">&nbsp;west</span></span></span>.</li></ul>
-<!--l. 465--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.5 </span> <a
- id="x12-14100011.5"></a>Transformations</h4>
-<!--l. 467--><p class="noindent">It is possible to transform nodes, but, by default, transformations do not apply to nodes. The reason is that you
-usually do <span
-class="cmti-10">not </span>want your text to be scaled or rotated even if the main graphic is transformed. Scaling text is evil,
-rotating slightly less so.
-<!--l. 472--><p class="indent"> However, sometimes you <span
-class="cmti-10">do </span>wish to transform a node, for example, it certainly sometimes makes sense to rotate
-a node by 90 degrees. There are two ways in which you can achieve this:
-<!--l. 476--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x12-141002x1"></a>You can use the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">transform shape</span><a
- id="dx12-141003"></a><a
- id="dx12-141004"></a> causes the current &#8220;external&#8221; transformation matrix to be applied to the shape.
- For example, if you said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz[scale=3]</span></span></span> and then say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node[transform</span><span
-class="cmtt-10">&nbsp;shape]</span><span
-class="cmtt-10">&nbsp;{X}</span></span></span>, you will
- get a &#8220;huge&#8221; X in your graphic.</li></ul>
- </li>
- <li class="enumerate" value="2"
-><a
- id="x12-141006x2"></a>You can give transformation option <span
-class="cmti-10">inside </span>the option list of the node. <span
-class="cmti-10">These </span>transformations always apply to
- the node.
- <!--l. 489--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-248-" ><colgroup id="TBL-248-1g"><col
-id="TBL-248-1"><col
-id="TBL-248-2"></colgroup><tr
- valign="baseline" id="TBL-248-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-248-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-249.svg" width="115.07718 " height="99.55656 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-248-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;node{A}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node[rotate=90,scale=1.5]</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate=30]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;node{A}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node[rotate=90,scale=1.5]</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate=60]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;node[transform</span><span
-class="cmtt-8">&nbsp;shape]</span><span
-class="cmtt-8">&nbsp;{A}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node[transform</span><span
-class="cmtt-8">&nbsp;shape,rotate=90,scale=1.5]</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ol>
-<!--l. 505--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.6 </span> <a
- id="x12-14200011.6"></a>Placing Nodes on a Line or Curve</h4>
-<!--l. 507--><p class="noindent">Until now, we always placed node on a coordinate that is mentioned in the path. Often, however, we wish to place
-nodes on &#8220;the middle&#8221; of a line and we do not wish to compute these coordinates &#8220;by hand.&#8221; To facilitate such
-placements, Ti<span
-class="cmti-10">k</span>Z&nbsp;allows you to specify that a certain node should be somewhere &#8220;on&#8221; a line. There are two ways of
-specifying this: Either explicitly by using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> option or implicitly by placing the node &#8220;inside&#8221; a path operation.
-These two ways are described in the following.
-
-
-<!--l. 518--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">11.6.1 </span> <a
- id="x12-14300011.6.1"></a>Explicit Use of the Position Option</h5>
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">pos</span><a
- id="dx12-143001"></a><a
- id="dx12-143002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">fraction</span><span
-class="cmsy-10">&gt; </span>When this option is given, the node is not anchored on the last coordinate. Rather, it is
- anchored on some point on the line from the previous coordinate to the current point. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">fraction</span><span
-class="cmsy-10">&gt;</span>
- dictates how &#8220;far&#8221; on the line the point should be. A <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">fraction</span><span
-class="cmsy-10">&gt; </span>or 0 is the previous coordinate, 1 is
- the current one, everything else is in between. In particular, 0.5 is the middle.
- <!--l. 532--><p class="noindent">Now, what is &#8220;the previous line&#8221;? This depends on the previous path construction operation.
- <!--l. 535--><p class="noindent">In the simplest case, the previous path operation was a &#8220;line-to&#8221; operation, that is, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>
- operation:
- <!--l. 537--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-249-" ><colgroup id="TBL-249-1g"><col
-id="TBL-249-1"><col
-id="TBL-249-2"></colgroup><tr
- valign="baseline" id="TBL-249-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-249-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-250.svg" width="128.98334 " height="54.99373 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-249-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[pos=0]{0}</span><span
-class="cmtt-8">&nbsp;node[pos=0.5]{1/2}</span><span
-class="cmtt-8">&nbsp;node[pos=0.9]{9/10};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 542--><p class="noindent">The next case is the curve-to operation (the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span> operation). In this case, the &#8220;middle&#8221; of the
- curve, that is, the position <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> is not necessarily the point at the exact half distance on the line.
- Rather, it is some point at &#8220;time&#8221; 0.5 of a point traveling from the start of the curve, where it
- is at time 0, to the end of the curve, which it reaches at time 0.5. The &#8220;speed&#8221; of the point
- depends on the length of the support vectors (the vectors that connect the start and end points to
- the control points). The exact math is a bit complicated (depending on your point of view, of
- course); you may wish to consult a good book on computer graphics and B&eacute;zier curves if you are
- intrigued.
- <!--l. 553--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-250-" ><colgroup id="TBL-250-1g"><col
-id="TBL-250-1"><col
-id="TBL-250-2"></colgroup><tr
- valign="baseline" id="TBL-250-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-250-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-251.svg" width="141.82294 " height="132.29097 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-250-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(right:3.5cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(right:3.5cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(0,3)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\p</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,0.125,...,1}</span><span
-class="cmtt-8">&nbsp;{node[pos=\p]{\p}};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 558--><p class="noindent">Another interesting case are the horizontal/vertical line-to operations <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">|-</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-|</span></span></span>. For them, the position (or
- time) <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> is exactly the corner point.
- <!--l. 562--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-251-" ><colgroup id="TBL-251-1g"><col
-id="TBL-251-1"><col
-id="TBL-251-2"></colgroup><tr
- valign="baseline" id="TBL-251-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-251-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-252.svg" width="129.52113 " height="58.78766 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-251-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(3,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[pos=0]{0}</span><span
-class="cmtt-8">&nbsp;node[pos=0.5]{1/2}</span><span
-class="cmtt-8">&nbsp;node[pos=0.9]{9/10};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 567--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-252-" ><colgroup id="TBL-252-1g"><col
-id="TBL-252-1"><col
-id="TBL-252-2"></colgroup><tr
- valign="baseline" id="TBL-252-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-252-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-253.svg" width="140.36508 " height="53.57019 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-252-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(3,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[pos=0]{0}</span><span
-class="cmtt-8">&nbsp;node[pos=0.5]{1/2}</span><span
-class="cmtt-8">&nbsp;node[pos=0.9]{9/10};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 572--><p class="noindent">For all other path construction operations, <span
-class="cmti-10">the position placement does not work</span>, currently. This will hopefully
- change in the future (especially for the arc operation).
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">sloped</span><a
- id="dx12-143003"></a><a
- id="dx12-143004"></a> This option causes the node to be rotated such that a horizontal line becomes a tangent to the curve.
- The rotation will always be done in such a way that text is never &#8220;upside down.&#8221; If you really need upside
- down text, use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[rotate=180]</span></span></span>.
- <!--l. 580--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-253-" ><colgroup id="TBL-253-1g"><col
-id="TBL-253-1"><col
-id="TBL-253-2"></colgroup><tr
- valign="baseline" id="TBL-253-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-253-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-254.svg" width="84.91765 " height="140.33492 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp;</td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-253-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(up:2cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(left:2cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(1,3)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\p</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,0.25,...,1}</span><span
-class="cmtt-8">&nbsp;{node[sloped,above,pos=\p]{\p}};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 584--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-254-" ><colgroup id="TBL-254-1g"><col
-id="TBL-254-1"><col
-id="TBL-254-2"></colgroup><tr
- valign="baseline" id="TBL-254-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-254-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-255.svg" width="77.40701 " height="55.31448 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-254-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[-&gt;]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0.5)</span><span
-class="cmtt-8">&nbsp;node[midway,sloped,above]</span><span
-class="cmtt-8">&nbsp;{$x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(2,-.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[midway,sloped,below]</span><span
-class="cmtt-8">&nbsp;{$y$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 593--><p class="noindent">There exist styles for specifying positions a bit less &#8220;technically&#8221;:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">midway</span><a
- id="dx12-143005"></a><a
- id="dx12-143006"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0.5</span></span></span>.
- <!--l. 597--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-255-" ><colgroup id="TBL-255-1g"><col
-id="TBL-255-1"><col
-id="TBL-255-2"></colgroup><tr
- valign="baseline" id="TBL-255-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-255-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-256.svg" width="140.52092 " height="207.33667 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-255-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(up:2cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(left:3cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(1,5)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[at</span><span
-class="cmtt-8">&nbsp;end]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{|at</span><span
-class="cmtt-8">&nbsp;end|}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;end]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{|very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;end|}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[near</span><span
-class="cmtt-8">&nbsp;end]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{|near</span><span
-class="cmtt-8">&nbsp;end|}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[midway]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{|midway|}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[near</span><span
-class="cmtt-8">&nbsp;start]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{|near</span><span
-class="cmtt-8">&nbsp;start|}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;start]</span><span
-class="cmtt-8">&nbsp;{|very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;start|}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[at</span><span
-class="cmtt-8">&nbsp;start]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{|at</span><span
-class="cmtt-8">&nbsp;start|};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">near start</span><a
- id="dx12-143007"></a><a
- id="dx12-143008"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0.25</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">near end</span><a
- id="dx12-143009"></a><a
- id="dx12-143010"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0.75</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very near start</span><a
- id="dx12-143011"></a><a
- id="dx12-143012"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0.125</span></span></span>.
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">very near end</span><a
- id="dx12-143013"></a><a
- id="dx12-143014"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0.875</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">at start</span><a
- id="dx12-143015"></a><a
- id="dx12-143016"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=0</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">at end</span><a
- id="dx12-143017"></a><a
- id="dx12-143018"></a> is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=1</span></span></span>.</li></ul>
-<!--l. 622--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">11.6.2 </span> <a
- id="x12-14400011.6.2"></a>Implicit Use of the Position Option</h5>
-<!--l. 624--><p class="noindent">When you wish to place a node on the line <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(1,1)</span></span></span>, it is natural to specify the node not following the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>, but &#8220;somewhere in the middle.&#8221; This is, indeed, possible and you can write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;node{a}</span><span
-class="cmtt-10">&nbsp;(1,1)</span></span></span> to
-place a node midway between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>.
-<!--l. 630--><p class="indent"> What happens is the following: The syntax of the line-to path operation is actually <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node</span>
-<span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. (It is even possible to give multiple nodes in this way.) When the optional <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> is
-encountered, that is, when the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> is directly followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span>, then the specification(s) are read and &#8220;stored away.&#8221;
-Then, after the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>has finally been reached, they are inserted again, but with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> option
-set.
-<!--l. 640--><p class="indent"> There are two things to note about this: When a node specification is &#8220;stored,&#8221; its catcodes become fixed.
-This means that you cannot use overly complicated verbatim text in them. If you really need, say, a
-verbatim text, you will have to put it in a normal node following the coordinate and add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span>
-option.
-<!--l. 646--><p class="indent"> Second, which <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> is chosen for the node? The position is inherited from the surrounding scope. However, this
-holds only for nodes specified in this implicit way. Thus, if you add the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[near</span><span
-class="cmtt-10">&nbsp;end]</span></span></span> to a scope, this does not
-mean that <span
-class="cmti-10">all </span>nodes given in this scope will be put on near the end of lines. Only the nodes for which an implicit
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> is added will be placed near the end. Typically, this is what you want. Here are some examples that should
-make this clearer:
-<!--l. 655--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-256-" ><colgroup id="TBL-256-1g"><col
-id="TBL-256-1"><col
-id="TBL-256-2"></colgroup><tr
- valign="baseline" id="TBL-256-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-256-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-257.svg" width="124.52116 " height="58.99886 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-256-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[near</span><span
-class="cmtt-8">&nbsp;end]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0cm,4em)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3cm,4em)</span><span
-class="cmtt-8">&nbsp;node{A};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0cm,3em)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node{B}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(3cm,3em);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0cm,2em)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[midway]</span><span
-class="cmtt-8">&nbsp;{C}</span><span
-class="cmtt-8">&nbsp;(3cm,2em);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0cm,1em)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3cm,1em)</span><span
-class="cmtt-8">&nbsp;node[midway]</span><span
-class="cmtt-8">&nbsp;{D}</span><span
-class="cmtt-8">&nbsp;;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 664--><p class="indent"> Like the line-to operation, the curve-to operation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span> also allows you to specify nodes &#8220;inside&#8221; the
-operation. After both the first <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span> and also after the second <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span> you can place node specifications. Like for
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> operation, these will be collected and then reinserted after the operation with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> option
-set.
-<!--l. 671--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.7 </span> <a
- id="x12-14500011.7"></a>Connecting Nodes</h4>
-<!--l. 673--><p class="noindent">Once you have defined a node and given it a name, you can use this name to reference it. This can be done in two
-ways, see also Section&nbsp;<a
-href="pgfmanualse8.html#x9-890008.5">8.5<!--tex4ht:ref: section-node-coordinates --></a>. Suppose you have said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path(0,0)</span><span
-class="cmtt-10">&nbsp;node(x)</span><span
-class="cmtt-10">&nbsp;{Hello</span><span
-class="cmtt-10">&nbsp;World!};</span></span></span> in order to define a node
-named <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span>.
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x12-145002x1"></a>Once the node <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> has been defined, you can use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x.</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> wherever you would normally use a
- normal coordinate. This will yield the position at which the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt; </span>is in the picture. Note that
- transformations do not apply to this coordinate, that is, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x.north)</span></span></span> will be the northern anchor of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span>
- even if you have said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">scale=3</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xshift=4cm</span></span></span>. This is usually what you would expect.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x12-145004x2"></a>You can also just use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x)</span></span></span> as a coordinate. In most cases, this gives the same coordinate as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x.center)</span></span></span>.
- Indeed, if the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shape</span></span></span> of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x.center)</span></span></span> have exactly the same effect.
-
-
- <!--l. 692--><p class="noindent">However, for most other shapes, some path construction operations like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> try to be &#8220;clever&#8221; when
- this they are asked to draw a line from such a coordinate or to such a coordinate. When you say
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x)--(1,1)</span></span></span>, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> path operation will not draw a line from the center of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span>, but <span
-class="cmti-10">from the border </span>of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span>
- in the direction going towards <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>. Likewise, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)--(x)</span></span></span> will also have the line end on the border
- in the direction coming from <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>.
- <!--l. 700--><p class="noindent">In addition to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>, the curve-to path operation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span> and the path operations <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-|</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">|-</span></span></span> will also handle nodes
- without anchors correctly. Here is an example, see also Section&nbsp;<a
-href="pgfmanualse8.html#x9-890008.5">8.5<!--tex4ht:ref: section-node-coordinates --></a>:
- <!--l. 704--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-258.svg" width="187.08534 " height="88.31116 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-257-" ><colgroup id="TBL-257-1g"><col
-id="TBL-257-1"></colgroup><tr
- valign="baseline" id="TBL-257-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-257-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;{Hello</span><span
-class="cmtt-8">&nbsp;World!}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(3,1)</span><span
-class="cmtt-8">&nbsp;node[circle,draw](y)</span><span
-class="cmtt-8">&nbsp;{$\int_1^2</span><span
-class="cmtt-8">&nbsp;x</span><span
-class="cmtt-8">&nbsp;\mathrm</span><span
-class="cmtt-8">&nbsp;d</span><span
-class="cmtt-8">&nbsp;x$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;,blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(y);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;,red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;node[near</span><span
-class="cmtt-8">&nbsp;start,below]</span><span
-class="cmtt-8">&nbsp;{label}</span><span
-class="cmtt-8">&nbsp;(y);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;,orange]</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(up:1cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(left:1cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;node[above,sloped]</span><span
-class="cmtt-8">&nbsp;{label}</span><span
-class="cmtt-8">&nbsp;(y);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ol>
-<!--l. 720--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">11.8 </span> <a
- id="x12-14600011.8"></a>Predefined Shapes</h4>
-<!--l. 723--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z&nbsp;define three shapes, by default:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span>,
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span>, and
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>.</li></ul>
-<!--l. 732--><p class="noindent">By loading library packages, you can define more shapes. Currently, the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryshapes</span></span></span> defines
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span>.</li></ul>
-<!--l. 739--><p class="indent"> The exact behaviour of these shapes differs, shapes defined for more special purposes (like a, say, transistor
-shape) will have even more custom behaviors. However, there are some options that apply to most
-shapes:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">inner sep</span><a
- id="dx12-146001"></a><a
- id="dx12-146002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>An additional (invisible) separation space of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>will be added inside
- the shape, between the text and the shape&#8217;s background path. The effect is as if you had added
- appropriate horizontal and vertical skips at the beginning and end of the text to make it a bit &#8220;larger.&#8221;
- The default <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">inner</span><span
-class="cmtt-10">&nbsp;sep</span></span></span> is the size of a normal space.
- <!--l. 752--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-258-" ><colgroup id="TBL-258-1g"><col
-id="TBL-258-1"><col
-id="TBL-258-2"></colgroup><tr
- valign="baseline" id="TBL-258-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-258-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-259.svg" width="50.25822 " height="69.59932 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-258-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[inner</span><span
-class="cmtt-8">&nbsp;sep=0pt,draw]</span><span
-class="cmtt-8">&nbsp;{tight}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0cm,2em)</span><span
-class="cmtt-8">&nbsp;node[inner</span><span
-class="cmtt-8">&nbsp;sep=5pt,draw]</span><span
-class="cmtt-8">&nbsp;{loose}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0cm,4em)</span><span
-class="cmtt-8">&nbsp;node[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{default};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">inner xsep</span><a
- id="dx12-146003"></a><a
- id="dx12-146004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Specifies the inner separation in the <span
-class="cmmi-10">x</span>-direction, only.
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">inner ysep</span><a
- id="dx12-146005"></a><a
- id="dx12-146006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Specifies the inner separation in the <span
-class="cmmi-10">y</span>-direction, only.
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer sep</span><a
- id="dx12-146007"></a><a
- id="dx12-146008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option adds an additional (invisible) separation space of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>outside the
- background path. The main effect of this option is that all anchors will move a little &#8220;to the
- outside.&#8221;
- <!--l. 770--><p class="noindent">The default for this option is half the line width. When the default is used and when the background path is
- draw, the anchors will lie exactly on the &#8220;outside border&#8221; of the path (not on the path itself). When the shape
- is filled, but not drawn, this may not be desirable. In this case, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">outer</span><span
-class="cmtt-10">&nbsp;sep</span></span></span> should be set to zero
- point.
- <!--l. 776--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-259-" ><colgroup id="TBL-259-1g"><col
-id="TBL-259-1"><col
-id="TBL-259-2"></colgroup><tr
- valign="baseline" id="TBL-259-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-259-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-260.svg" width="122.70642 " height="53.1664 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-259-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=5pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[outer</span><span
-class="cmtt-8">&nbsp;sep=0pt,fill=examplefill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(f)</span><span
-class="cmtt-8">&nbsp;{filled}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node[inner</span><span
-class="cmtt-8">&nbsp;sep=.5\pgflinewidth+2pt,draw]</span><span
-class="cmtt-8">&nbsp;(d)</span><span
-class="cmtt-8">&nbsp;{drawn};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(1,-1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(f);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(1,-1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(d);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer xsep</span><a
- id="dx12-146009"></a><a
- id="dx12-146010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Specifies the outer separation in the <span
-class="cmmi-10">x</span>-direction, only.
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer ysep</span><a
- id="dx12-146011"></a><a
- id="dx12-146012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Specifies the outer separation in the <span
-class="cmmi-10">y</span>-direction, only.
- </li>
- <li class="itemize"><span
-class="cmtt-10">minimum height</span><a
- id="dx12-146013"></a><a
- id="dx12-146014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option ensures that the height of the shape (including the inner, but
- ignoring the outer separation) will be at least <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. Thus, if the text plus the inner separation is not at
- least as large as <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>, the shape will be enlarged appropriately. However, if the text is already larger
- than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>, the shape will not be shrunk.
- <!--l. 798--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-260-" ><colgroup id="TBL-260-1g"><col
-id="TBL-260-1"><col
-id="TBL-260-2"></colgroup><tr
- valign="baseline" id="TBL-260-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-260-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-261.svg" width="109.99857 " height="39.47014 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-260-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[minimum</span><span
-class="cmtt-8">&nbsp;height=1cm,draw]</span><span
-class="cmtt-8">&nbsp;{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node[minimum</span><span
-class="cmtt-8">&nbsp;height=0cm,draw]</span><span
-class="cmtt-8">&nbsp;{0cm};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">minimum width</span><a
- id="dx12-146015"></a><a
- id="dx12-146016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">minimum</span><span
-class="cmtt-10">&nbsp;height</span></span></span>, only for the width.
- <!--l. 807--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-261-" ><colgroup id="TBL-261-1g"><col
-id="TBL-261-1"><col
-id="TBL-261-2"></colgroup><tr
- valign="baseline" id="TBL-261-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-261-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-262.svg" width="115.34387 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-261-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node[minimum</span><span
-class="cmtt-8">&nbsp;height=2cm,minimum</span><span
-class="cmtt-8">&nbsp;width=3cm,draw]</span><span
-class="cmtt-8">&nbsp;{$3</span><span
-class="cmtt-8">&nbsp;\times</span><span
-class="cmtt-8">&nbsp;2$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">minimum size</span><a
- id="dx12-146017"></a><a
- id="dx12-146018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>sets both the minimum height and width at the same time.
-
-
- <!--l. 814--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-262-" ><colgroup id="TBL-262-1g"><col
-id="TBL-262-1"><col
-id="TBL-262-2"></colgroup><tr
- valign="baseline" id="TBL-262-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-262-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-263.svg" width="77.40701 " height="153.2807 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-262-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[minimum</span><span
-class="cmtt-8">&nbsp;size=2cm,draw]</span><span
-class="cmtt-8">&nbsp;{square};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-2)</span><span
-class="cmtt-8">&nbsp;node[minimum</span><span
-class="cmtt-8">&nbsp;size=2cm,draw,circle]</span><span
-class="cmtt-8">&nbsp;{circle};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 823--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> shape is handled in a special way by Ti<span
-class="cmti-10">k</span>Z. When a node <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> whose shape is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> is used
-as a coordinate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x)</span></span></span>, this has the same effect as if you had said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(x.center)</span></span></span>. None of the special &#8220;line
-shortening rules&#8221; apply in this case. This can be useful since, normally, the line shortening causes
-paths to be segmented and they cannot be used for filling. Here is an example that demonstrates the
-difference:
-<!--l. 830--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-263-" ><colgroup id="TBL-263-1g"><col
-id="TBL-263-1"><col
-id="TBL-263-2"></colgroup><tr
- valign="baseline" id="TBL-263-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-263-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-264.svg" width="48.35806 " height="100.8194 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-263-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path[yshift=1.5cm,shape=rectangle]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node(a1){}</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;node(a2){}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node(a3){}</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;node(a4){};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;(a1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(a2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(a3)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(a4);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path[shape=coordinate]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;coordinate(b1)</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;coordinate(b2)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;coordinate(b3)</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;coordinate(b4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;(b1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b3)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b4);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse12.html" >next</a>] [<a
-href="pgfmanualse10.html" >prev</a>] [<a
-href="pgfmanualse10.html#tailpgfmanualse10.html" >prev-tail</a>] [<a
-href="pgfmanualse11.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse11.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse11.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse12.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse12.html
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--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse12.html
+++ /dev/null
@@ -1,2681 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>12 Making Trees Grow</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse13.html" >next</a>] [<a
-href="pgfmanualse11.html" >prev</a>] [<a
-href="pgfmanualse11.html#tailpgfmanualse11.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse12.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse12.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">12 </span> <a
- id="x13-14700012"></a>Making Trees Grow</h3>
-<!--l. 13--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.1 </span> <a
- id="x13-14800012.1"></a>Introduction to the Child Operation</h4>
-<!--l. 15--><p class="noindent"><span
-class="cmti-10">Trees </span>are a common way of visualizing hierarchical structures. A simple tree looks like this:
-<!--l. 17--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-264-" ><colgroup id="TBL-264-1g"><col
-id="TBL-264-1"><col
-id="TBL-264-2"></colgroup><tr
- valign="baseline" id="TBL-264-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-264-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-265.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-264-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 28--><p class="indent"> Admittedly, in reality trees are more likely to grow <span
-class="cmti-10">upward </span>and not downward as above. You can tell whether
-the author of a paper is a mathematician or a computer scientist by looking at the direction their trees grow. A
-computer scientist&#8217;s trees will grow downward while a mathematician&#8217;s tree will grow upward. Naturally, the <span
-class="cmti-10">correct</span>
-way is the mathematician&#8217;s way, which can be specify as follows:
-<!--l. 35--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-265-" ><colgroup id="TBL-265-1g"><col
-id="TBL-265-1"><col
-id="TBL-265-2"></colgroup><tr
- valign="baseline" id="TBL-265-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-265-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-266.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-265-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;[grow'=up]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 46--><p class="indent"> In Ti<span
-class="cmti-10">k</span>Z, trees are specified by adding <span
-class="cmti-10">children </span>to a node on a path using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> operation:
-<!--l. 50--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox90"><span id="textcolor91"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">child</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foreach</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">in</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">values</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span>&nbsp;<span id="textcolor92">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx13-148001"></a>
-<a
- id="dx13-148002"></a>
- <!--l. 51--><p class="noindent">This operation should directly follow a completed <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation or another <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> operation, although
- it is permissible that the first <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> operation is preceded by options (we will come to that).
-
-
- <!--l. 56--><p class="noindent">When a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span><span
-class="cmtt-10">&nbsp;{X}</span></span></span> is followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span>, Ti<span
-class="cmti-10">k</span>Z&nbsp;starts counting the number of child
- nodes that follow the original <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span><span
-class="cmtt-10">&nbsp;{X}</span></span></span>. For this, it scans the input and stores away each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> and
- its arguments until it reaches a path operation that is not a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span>. Note that this will fix the character
- codes of all text inside the child arguments, which means, in essence, that you cannot use verbatim
- text inside the nodes inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span>. Sorry.
- <!--l. 64--><p class="noindent">Once the children have been collected and counted, Ti<span
-class="cmti-10">k</span>Z&nbsp;starts generating the child nodes. For each
- child of a parent node Ti<span
-class="cmti-10">k</span>Z&nbsp;computes an appropriate position where the child is placed. For each child,
- the coordinate system is transformed so that the origin is at this position. Then the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>is
- drawn. Typically, the child path just consists of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> specification, which results in a node being
- drawn at the child&#8217;s position. Finally, an edge is drawn from the first node in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>to the
- parent node.
- <!--l. 74--><p class="noindent">The optional <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foreach</span></span></span> part (note that there is no backslash before <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foreach</span></span></span>) allows you to specify multiple
- children in a single <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> command. The idea is the following: A <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement is (internally) used to
- iterate over the list of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">values</span><span
-class="cmsy-10">&gt;</span>. For each value in this list, a new <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> is added to the node. The syntax for
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt; </span>and for <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">values</span><span
-class="cmsy-10">&gt; </span>is the same as for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement, see Section&nbsp;<a
-href="pgfmanualse15.html#x16-17900015">15<!--tex4ht:ref: section-foreach --></a>. For example, when you
- say
- <!--l. 82--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-266-" ><colgroup id="TBL-266-1g"><col
-id="TBL-266-1"></colgroup><tr
- valign="baseline" id="TBL-266-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-266-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;[red]</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\name</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2}</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{\name}}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 85--><p class="noindent">the effect will be the same as if you had said
- <!--l. 86--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-267-" ><colgroup id="TBL-267-1g"><col
-id="TBL-267-1"></colgroup><tr
- valign="baseline" id="TBL-267-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-267-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;child[red]</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{1}}</span><span
-class="cmtt-8">&nbsp;child[ref]</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{2}}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 89--><p class="noindent">When you write
- <!--l. 90--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-268-" ><colgroup id="TBL-268-1g"><col
-id="TBL-268-1"></colgroup><tr
- valign="baseline" id="TBL-268-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-268-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;child[\pos]</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\name/\pos</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1/left,2/right}</span><span
-class="cmtt-8">&nbsp;{node[\pos]</span><span
-class="cmtt-8">&nbsp;{\name}}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 93--><p class="noindent">the effect will be the same as for
- <!--l. 94--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-269-" ><colgroup id="TBL-269-1g"><col
-id="TBL-269-1"></colgroup><tr
- valign="baseline" id="TBL-269-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-269-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;child[left]</span><span
-class="cmtt-8">&nbsp;{node[left]</span><span
-class="cmtt-8">&nbsp;{1}}</span><span
-class="cmtt-8">&nbsp;child[right]</span><span
-class="cmtt-8">&nbsp;{node[right]</span><span
-class="cmtt-8">&nbsp;{2}}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 98--><p class="noindent">You can nest things as in the following example:
- <!--l. 99--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-270-" ><colgroup id="TBL-270-1g"><col
-id="TBL-270-1"><col
-id="TBL-270-2"></colgroup><tr
- valign="baseline" id="TBL-270-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-270-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-267.svg" width="54.64487 " height="47.0575 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-270-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[level</span><span
-class="cmtt-8">&nbsp;distance=4mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=8mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=4mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;3}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=2mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\coordinate</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\z</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1}}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 111--><p class="noindent">The details and options for this operation are described in the rest of this present section. </dd></dl>
-<!--l. 117--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.2 </span> <a
- id="x13-14900012.2"></a>Child Paths and the Child Nodes</h4>
-<!--l. 119--><p class="noindent">For each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> of a root node, its <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>is inserted at a specific location in the picture (the placement rules
-are discussed in Section&nbsp;<a
-href="#x13-15200012.5">12.5<!--tex4ht:ref: section-tree-placement --></a>). The first node in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt;</span>, if it exists, is special and called the <span
-class="cmti-10">child node</span>. If
-there is no first node in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt;</span>, that is, if the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>is missing (including the curly braces) or if it
-does not start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> or with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>, then an empty child node of shape <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> is automatically
-added.
-
-
-<!--l. 128--><p class="indent"> Consider the example <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\node</span><span
-class="cmtt-10">&nbsp;{x}</span><span
-class="cmtt-10">&nbsp;child</span><span
-class="cmtt-10">&nbsp;{node</span><span
-class="cmtt-10">&nbsp;{y}}</span><span
-class="cmtt-10">&nbsp;child;</span></span></span>. For the first child, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>has the child
-node <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span><span
-class="cmtt-10">&nbsp;{y}</span></span></span>. For the second child, no child node is specified and, thus, it is just <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>.
-<!--l. 133--><p class="indent"> As for any normal node, you can give the child node a name, shift it around, or use options to influence how it is
-rendered.
-<!--l. 135--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-271-" ><colgroup id="TBL-271-1g"><col
-id="TBL-271-1"><col
-id="TBL-271-2"></colgroup><tr
- valign="baseline" id="TBL-271-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-271-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-268.svg" width="100.92804 " height="83.51978 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-271-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[rectangle,draw]</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node[circle,draw]</span><span
-class="cmtt-8">&nbsp;(left</span><span
-class="cmtt-8">&nbsp;node)</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node[ellipse,draw]</span><span
-class="cmtt-8">&nbsp;(right</span><span
-class="cmtt-8">&nbsp;node)</span><span
-class="cmtt-8">&nbsp;{right}};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[dashed,-&gt;]</span><span
-class="cmtt-8">&nbsp;(left</span><span
-class="cmtt-8">&nbsp;node)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(right</span><span
-class="cmtt-8">&nbsp;node);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 144--><p class="indent"> In many cases, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>will just consist of a specification of a child node and, possibly, children of this
-child node. However, the node specification may be followed by arbitrary other material that will be added to the
-picture, transformed to the child&#8217;s coordinate system. For your convenience, a move-to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span> operation is inserted
-automatically at the beginning of the path. Here is an example:
-<!--l. 152--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-272-" ><colgroup id="TBL-272-1g"><col
-id="TBL-272-1"><col
-id="TBL-272-2"></colgroup><tr
- valign="baseline" id="TBL-272-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-272-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-269.svg" width="63.77191 " height="69.38306 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-272-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{[fill]</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{[fill]</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 161--><p class="indent"> At the end of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>you may add a special path operation called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span>.
-If this operation is not given by yourself somewhere on the path, it will be automatically added at
-the end. This option causes a connecting edge from the parent node to the child node to be added
-to the path. By giving options to this operation you can influence how the edge is rendered. Also,
-nodes following the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span> operation will be placed on this edge, see Section&nbsp;<a
-href="#x13-15300012.6">12.6<!--tex4ht:ref: section-edge-from-parent --></a> for
-details.
-<!--l. 170--><p class="indent"> To sum up:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x13-149002x1"></a>The child path starts with a node specification. If it is not there, it is added automatically.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x13-149004x2"></a>The child path ends with a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span> operation, possibly followed by nodes to be put on this
- edge. If the operation is not given at the end, it is added automatically.</li></ol>
-<!--l. 183--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.3 </span> <a
- id="x13-15000012.3"></a>Naming Child Nodes</h4>
-<!--l. 185--><p class="noindent">Child nodes can be named like any other node using either the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">name</span></span></span> option or the special syntax in
-which the name of the node is placed in round parentheses between the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation and the node&#8217;s
-text.
-<!--l. 190--><p class="indent"> If you do not assign a name to a child node, Ti<span
-class="cmti-10">k</span>Z&nbsp;will automatically assign a name as follows: Assume that the
-name of the parent node is, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent</span></span></span>. (If you did not assign a name to the parent, Ti<span
-class="cmti-10">k</span>Z&nbsp;will do so itself, but that
-name will not be user-accessible.) The first child of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent</span></span></span> will be named <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-1</span></span></span>, the second child is named
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-2</span></span></span>, and so on.
-<!--l. 198--><p class="indent"> This naming convention works recursively. If the second child <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-2</span></span></span> has children, then the first of these
-children will be called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-2-1</span></span></span> and the second <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-2-2</span></span></span> and so on.
-<!--l. 202--><p class="indent"> If you assign a name to a child node yourself, no name is generated automatically (the node does
-not have two names). However, &#8220;counting continues,&#8221; which means that the third child of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent</span></span></span> is
-called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent-3</span></span></span> independently of whether you have assigned names to the first and/or second child of
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parent</span></span></span>.
-
-
-<!--l. 208--><p class="indent"> Here is an example:
-<!--l. 210--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-273-" ><colgroup id="TBL-273-1g"><col
-id="TBL-273-1"><col
-id="TBL-273-2"></colgroup><tr
- valign="baseline" id="TBL-273-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-273-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-270.svg" width="136.02354 " height="133.72487 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-273-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(root)</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{coordinate</span><span
-class="cmtt-8">&nbsp;(special)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(root-1)</span><span
-class="cmtt-8">&nbsp;{root-1};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(root-2)</span><span
-class="cmtt-8">&nbsp;{root-2};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(special)</span><span
-class="cmtt-8">&nbsp;{special};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(root-2-2)</span><span
-class="cmtt-8">&nbsp;{root-2-2};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 225--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.4 </span> <a
- id="x13-15100012.4"></a>Specifying Options for Trees and Children</h4>
-<!--l. 227--><p class="noindent">Each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> may have its own <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span>, which apply to &#8220;the whole child,&#8221; including all of its grandchildren. Here is
-an example:
-<!--l. 231--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-274-" ><colgroup id="TBL-274-1g"><col
-id="TBL-274-1"><col
-id="TBL-274-2"></colgroup><tr
- valign="baseline" id="TBL-274-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-274-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-271.svg" width="96.90877 " height="115.8772 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-274-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=10mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\coordinate</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[green]</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child[blue]};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 240--><p class="indent"> The options of the root node have no effect on the children since the options of a node are always &#8220;local&#8221; to that
-node. Because of this, the edges in the following tree are black, not red.
-<!--l. 244--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-275-" ><colgroup id="TBL-275-1g"><col
-id="TBL-275-1"><col
-id="TBL-275-2"></colgroup><tr
- valign="baseline" id="TBL-275-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-275-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-272.svg" width="58.97192 " height="66.98306 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-275-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[red]</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 251--><p class="indent"> This raises the problem of how to set options for <span
-class="cmti-10">all </span>children. Naturally, you could always set options for the
-whole path as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;[red]</span><span
-class="cmtt-10">&nbsp;node</span><span
-class="cmtt-10">&nbsp;{root}</span><span
-class="cmtt-10">&nbsp;child</span><span
-class="cmtt-10">&nbsp;child;</span></span></span> but this is bothersome in some situations. Instead, it is
-easier to give the options <span
-class="cmti-10">before the first child </span>as follows:
-
-
-<!--l. 256--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-276-" ><colgroup id="TBL-276-1g"><col
-id="TBL-276-1"><col
-id="TBL-276-2"></colgroup><tr
- valign="baseline" id="TBL-276-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-276-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-273.svg" width="58.97192 " height="66.98306 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-276-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[red]</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[green]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;option</span><span
-class="cmsltt-10x-x-80">&nbsp;applies</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;all</span><span
-class="cmsltt-10x-x-80">&nbsp;children</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 265--><p class="indent"> Here is the set of rules:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x13-151002x1"></a>Options for the whole tree are given before the root node.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x13-151004x2"></a>Options for the root node are given directly to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation of the root.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x13-151006x3"></a>Options for all children can be given between the root node and the first child.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x13-151008x4"></a>Options applying to a specific child path are given as options to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> operation.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x13-151010x5"></a>Options applying to the node of a child, but not to the whole child path, are given as options to the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> command inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt;</span>.</li></ol>
-<!--l. 284--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-277-" ><colgroup id="TBL-277-1g"><col
-id="TBL-277-1"></colgroup><tr
- valign="baseline" id="TBL-277-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-277-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[...]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;whole</span><span
-class="cmsltt-10x-x-80">&nbsp;tree</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[...]</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;root</span><span
-class="cmsltt-10x-x-80">&nbsp;node</span><span
-class="cmsltt-10x-x-80">&nbsp;only</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[...]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;all</span><span
-class="cmsltt-10x-x-80">&nbsp;children</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[...]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span><span
-class="cmsltt-10x-x-80">&nbsp;child</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;all</span><span
-class="cmsltt-10x-x-80">&nbsp;its</span><span
-class="cmsltt-10x-x-80">&nbsp;children</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[...]</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;child</span><span
-class="cmsltt-10x-x-80">&nbsp;node</span><span
-class="cmsltt-10x-x-80">&nbsp;only</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;...</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[...]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Options</span><span
-class="cmsltt-10x-x-80">&nbsp;apply</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span><span
-class="cmsltt-10x-x-80">&nbsp;child</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;all</span><span
-class="cmsltt-10x-x-80">&nbsp;its</span><span
-class="cmsltt-10x-x-80">&nbsp;children</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 300--><p class="indent"> There are additional styles that influence how children are rendered:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every child</span><a
- id="dx13-151011"></a><a
- id="dx13-151012"></a> This style is used at the beginning of each child, as if you had given the options
- to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> operation.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every child node</span><a
- id="dx13-151013"></a><a
- id="dx13-151014"></a> This style is used at the beginning of each child node in addition to the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">every</span><span
-class="cmtt-10">&nbsp;node</span></span></span> style.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">level </span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">number</span><span
-class="cmsy-10">&gt;</span><a
- id="dx13-151015"></a><a
- id="dx13-151016"></a> This style is used at the beginning of each set of children, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt; </span>is
- the current level in the current tree. For example, when you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\node</span><span
-class="cmtt-10">&nbsp;{x}</span><span
-class="cmtt-10">&nbsp;child</span><span
-class="cmtt-10">&nbsp;child;</span></span></span>, then the
- style <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">level</span><span
-class="cmtt-10">&nbsp;1</span></span></span> is used before the first <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span>. If this first <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span> has children itself, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">level</span><span
-class="cmtt-10">&nbsp;2</span></span></span> would
- be used for them.
-
-
- <!--l. 315--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-278-" ><colgroup id="TBL-278-1g"><col
-id="TBL-278-1"><col
-id="TBL-278-2"></colgroup><tr
- valign="baseline" id="TBL-278-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-278-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-274.svg" width="105.85966 " height="123.62167 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-278-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=20mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=5mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 329--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.5 </span> <a
- id="x13-15200012.5"></a>Placing Child Nodes</h4>
-<!--l. 333--><p class="noindent">Perhaps the most difficult part in drawing a tree is the correct layout of the children. Typically, the children have
-different sizes and it is not easy to arrange them in such a manner that not too much space is wasted, the children
-do not overlap, and they are either evenly spaced or their centers are evenly distributed. Calculating good
-positions is especially difficult since a good position for the first child may depend on the size of the last
-child.
-<!--l. 341--><p class="indent"> In Ti<span
-class="cmti-10">k</span>Z, a comparatively simple approach is taken to placing the children. In order to compute a child&#8217;s position,
-all that is taken into account is the number of the current child in the list of children and the number of children in
-this list. Thus, if a node has five children, then there is a fixed position for the first child, a position for the second
-child, and so on. These positions <span
-class="cmti-10">do not depend on the size of the children </span>and, hence, children can easily overlap.
-However, since you can use options to shift individual children a bit, this is not as great a problem as it may
-seem.
-<!--l. 351--><p class="indent"> Although the placement of the children only depends on their number in the list of children and the total
-number of children, everything else about the placement is highly configurable. You can change the distance between
-children (appropriately called the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sibling</span><span
-class="cmtt-10">&nbsp;distance</span></span></span>) and the distance between levels of the tree. These distances
-may change from level to level. The direction in which the tree grows can be changed globally and for parts of the
-tree. You can even specify your own &#8220;growth function&#8221; to arrange children on a circle or along special lines or
-curves.
-<!--l. 361--><p class="indent"> The default growth function works as follows: Assume that we are given a node and five children. These children
-will be placed on a line with their centers (or, more generally, with their anchors) spaced apart by the current
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sibling</span><span
-class="cmtt-10">&nbsp;distance</span></span></span>. The line is orthogonal to the current <span
-class="cmti-10">direction of growth</span>, which is set with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grow</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grow'</span></span></span>
-option (the latter option reverses the ordering of the children). The distance from the line to the parent node is
-given by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">level</span><span
-class="cmtt-10">&nbsp;distance</span></span></span>.
-
-
-<!--l. 371--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-279-" ><colgroup id="TBL-279-1g"><col
-id="TBL-279-1"><col
-id="TBL-279-2"></colgroup><tr
- valign="baseline" id="TBL-279-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-279-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-275.svg" width="96.13918 " height="198.38356 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-279-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path</span><span
-class="cmtt-8">&nbsp;[help</span><span
-class="cmtt-8">&nbsp;lines]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(root)</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[grow=-10]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{1}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{3}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{4}};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[|&lt;-&gt;|,thick]</span><span
-class="cmtt-8">&nbsp;(root-1.center)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[above,sloped]</span><span
-class="cmtt-8">&nbsp;{sibling</span><span
-class="cmtt-8">&nbsp;distance}</span><span
-class="cmtt-8">&nbsp;(root-2.center);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[|&lt;-&gt;|,thick]</span><span
-class="cmtt-8">&nbsp;(root.center)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[above,sloped]</span><span
-class="cmtt-8">&nbsp;{level</span><span
-class="cmtt-8">&nbsp;distance}</span><span
-class="cmtt-8">&nbsp;+(-10:\tikzleveldistance);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 390--><p class="indent"> Here is a detailed description of the options:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">level distance</span><a
- id="dx13-152001"></a><a
- id="dx13-152002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">distance</span><span
-class="cmsy-10">&gt; </span>This option allows you to change the distance between different levels of
- the tree, more precisely, between the parent and the line on which its children are arranged. When
- given to a single child, this will set the distance for this child only.
- <!--l. 398--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-280-" ><colgroup id="TBL-280-1g"><col
-id="TBL-280-1"><col
-id="TBL-280-2"></colgroup><tr
- valign="baseline" id="TBL-280-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-280-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-276.svg" width="115.34392 " height="104.65324 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-280-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[level</span><span
-class="cmtt-8">&nbsp;distance=20mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[level</span><span
-class="cmtt-8">&nbsp;distance=5mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[level</span><span
-class="cmtt-8">&nbsp;distance=10mm];</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 413--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-281-" ><colgroup id="TBL-281-1g"><col
-id="TBL-281-1"><col
-id="TBL-281-2"></colgroup><tr
- valign="baseline" id="TBL-281-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-281-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-277.svg" width="115.34392 " height="85.68481 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-281-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[level</span><span
-class="cmtt-8">&nbsp;distance=10mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[level</span><span
-class="cmtt-8">&nbsp;distance=5mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[level</span><span
-class="cmtt-8">&nbsp;distance=10mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">sibling distance</span><a
- id="dx13-152003"></a><a
- id="dx13-152004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">distance</span><span
-class="cmsy-10">&gt; </span>This option specifies the distance between the anchors of the children of a
- parent node.
- <!--l. 432--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-282-" ><colgroup id="TBL-282-1g"><col
-id="TBL-282-1"><col
-id="TBL-282-2"></colgroup><tr
- valign="baseline" id="TBL-282-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-282-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-278.svg" width="54.64487 " height="47.0575 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-282-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[level</span><span
-class="cmtt-8">&nbsp;distance=4mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=8mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=4mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;3}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=2mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\coordinate</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;child}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 449--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-283-" ><colgroup id="TBL-283-1g"><col
-id="TBL-283-1"><col
-id="TBL-283-2"></colgroup><tr
- valign="baseline" id="TBL-283-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-283-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-279.svg" width="141.32559 " height="131.84138 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-283-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[level</span><span
-class="cmtt-8">&nbsp;distance=10mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[fill=red!60,circle,inner</span><span
-class="cmtt-8">&nbsp;sep=1pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=20mm,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;set</span><span
-class="cmtt-8">&nbsp;style={{every</span><span
-class="cmtt-8">&nbsp;node}+=[fill=red!45]}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=10mm,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;set</span><span
-class="cmtt-8">&nbsp;style={{every</span><span
-class="cmtt-8">&nbsp;node}+=[fill=red!30]}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;3}=[sibling</span><span
-class="cmtt-8">&nbsp;distance=5mm,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;set</span><span
-class="cmtt-8">&nbsp;style={{every</span><span
-class="cmtt-8">&nbsp;node}+=[fill=red!15]}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{31}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{20}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{5}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{4}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{10}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{9}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{1}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{20}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{19}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{1}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[fill=none]</span><span
-class="cmtt-8">&nbsp;{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[draw=none]}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{18}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">grow</span><a
- id="dx13-152005"></a><a
- id="dx13-152006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt; </span>This option is used to define the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt; </span>in which the tree will grow. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt; </span>can
- either be an angle in degrees or one of the following special text strings: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">down</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">up</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">left</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">right</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span>,
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">east</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">west</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;west</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;east</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;west</span></span></span>. All of these have &#8220;their obvious
- meaning,&#8221; so, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;west</span></span></span> is the same as the angle <span
-class="cmsy-10">-</span>135<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- <!--l. 488--><p class="noindent">As a side effect, this option installs the default growth function.
- <!--l. 490--><p class="noindent">In addition to setting the direction, this option also has a seemingly strange effect: It sets the sibling distance
- for the current level to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0pt</span></span></span>, but leaves the sibling distance for later levels unchanged.
- <!--l. 495--><p class="noindent">This somewhat strange behaviour has a highly desirable effect: If you give this option before the list of
- children of a node starts, the &#8220;current level&#8221; is still the parent level. Each child will be on a later level and,
- hence, the sibling distance will be as specified originally. This will cause the children to be neatly aligned in a
- line orthogonal to the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt;</span>. However, if you give this option locally to a single child,
- then &#8220;current level&#8221; will be the same as the child&#8217;s level. The zero sibling distance will then
- cause the child to be placed exactly at a point at distance <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">level</span><span
-class="cmtt-10">&nbsp;distance</span></span></span> in the direction
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt;</span>. However, the children of the child will be placed &#8220;normally&#8221; on a line orthogonal to the
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 508--><p class="noindent">These placement effects are best demonstrated by some examples:
- <!--l. 509--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-284-" ><colgroup id="TBL-284-1g"><col
-id="TBL-284-1"><col
-id="TBL-284-2"></colgroup><tr
- valign="baseline" id="TBL-284-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-284-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-280.svg" width="74.67142 " height="58.4386 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-284-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;[grow=right]</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 513--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-285-" ><colgroup id="TBL-285-1g"><col
-id="TBL-285-1"><col
-id="TBL-285-2"></colgroup><tr
- valign="baseline" id="TBL-285-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-285-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-281.svg" width="78.12334 " height="70.16837 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-285-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span><span
-class="cmtt-8">&nbsp;[grow=south</span><span
-class="cmtt-8">&nbsp;west]</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 517--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-286-" ><colgroup id="TBL-286-1g"><col
-id="TBL-286-1"><col
-id="TBL-286-2"></colgroup><tr
- valign="baseline" id="TBL-286-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-286-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-282.svg" width="96.37538 " height="58.43861 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-286-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[level</span><span
-class="cmtt-8">&nbsp;distance=10mm,sibling</span><span
-class="cmtt-8">&nbsp;distance=5mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[grow=down]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[grow=right]</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 529--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-287-" ><colgroup id="TBL-287-1g"><col
-id="TBL-287-1"><col
-id="TBL-287-2"></colgroup><tr
- valign="baseline" id="TBL-287-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-287-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-283.svg" width="99.88768 " height="103.19664 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-287-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[level</span><span
-class="cmtt-8">&nbsp;distance=2em]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{C}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[grow=up]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[grow=left]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[grow=down]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[grow=right]</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{C}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[grow=up]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[grow=right]</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[grow=down]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{H}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[double]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(wrong)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[&lt;-,red]</span><span
-class="cmtt-8">&nbsp;([yshift=-2mm]wrong)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,-1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[below]{This</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;wrong!};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 547--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-288-" ><colgroup id="TBL-288-1g"><col
-id="TBL-288-1"><col
-id="TBL-288-2"></colgroup><tr
- valign="baseline" id="TBL-288-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-288-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-284.svg" width="126.53557 " height="104.66489 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-288-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[rectangle,draw]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{start</span><span
-class="cmtt-8">&nbsp;node};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[rectangle,draw]</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{end};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[coordinate,midway]</span><span
-class="cmtt-8">&nbsp;{}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[grow=100,&lt;-]</span><span
-class="cmtt-8">&nbsp;{node[above]</span><span
-class="cmtt-8">&nbsp;{the</span><span
-class="cmtt-8">&nbsp;middle</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;here}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">grow'</span><a
- id="dx13-152007"></a><a
- id="dx13-152008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction</span><span
-class="cmsy-10">&gt; </span>This option has the same effect as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grow</span></span></span>, only the children are arranged in the opposite
- order.
- </li>
- <li class="itemize"><span
-class="cmtt-10">growth function</span><a
- id="dx13-152009"></a><a
- id="dx13-152010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt; </span>This rather low-level option allows you to set a new growth function. The
-
-
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt; </span>must be the name of a macro without parameters. This macro will be called for each child of a
- node.
- <!--l. 566--><p class="noindent">The effect of executing the macro should be the following: It should transform the coordinate system in such a
- way that the origin becomes the place where the current child should be anchored. When the macro is called,
- the current coordinate system will be setup such that the anchor of the parent node is in the origin. Thus, in
- each call, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt; </span>must essentially do a shift to the child&#8217;s origin. When the macro is called, the
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;counter <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikznumberofchildren</span></span></span> will be set to the total number of children of the parent
- node and the counter <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikznumberofcurrentchild</span></span></span> will be set to the number of the current
- child.
- <!--l. 577--><p class="noindent">The macro may, in addition to shifting the coordinate system, also transform the coordinate system further.
- For example, it could be rotated or scaled.
- <!--l. 581--><p class="noindent">Additional growth functions are defined in the library, see Section&nbsp;<a
-href="pgfmanualse14.html#x15-17400014.6">14.6<!--tex4ht:ref: section-tree-library --></a>.</li></ul>
-<!--l. 587--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">12.6 </span> <a
- id="x13-15300012.6"></a>Edges From the Parent Node</h4>
-<!--l. 591--><p class="noindent">Every child node is connected to its parent node via a special kind of edge called the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span>. This edge
-is added to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>when the following path operation is encountered:
-<!--l. 595--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox93"><span id="textcolor94"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">edge from parent</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span>&nbsp;<span id="textcolor95">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx13-153001"></a>
-<a
- id="dx13-153002"></a>
- <!--l. 596--><p class="noindent">This path operation can only be used inside <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child paths</span><span
-class="cmsy-10">&gt; </span>and should be given at the end, possibly
- followed by node specifications (we will come to that). If a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>does not contain this operation,
- it will be added at the end of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">child path</span><span
-class="cmsy-10">&gt; </span>automatically.
- <!--l. 602--><p class="noindent">This operation has several effects. The most important is that it inserts the current &#8220;edge from parent path&#8221;
- into the child path. The edge from parent path can be set using the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">edge from parent path</span><a
- id="dx13-153003"></a><a
- id="dx13-153004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">path</span><span
-class="cmsy-10">&gt; </span>This options allows you to set the edge from parent path to a new path.
- The default for this path is the following:
- <!--l. 610--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-289-" ><colgroup id="TBL-289-1g"><col
-id="TBL-289-1"></colgroup><tr
- valign="baseline" id="TBL-289-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-289-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">(\tikzparentnode\tikzparentanchor)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\tikzchildnode\tikzchildanchor)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 613--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzparentnode</span></span></span> is a macro that will expand to the name of the parent node. This works even
- when you have not assigned a name to the parent node, in this case an internal name is automatically
- generated. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzchildnode</span></span></span> is a macro that expands to the name of the child node. The two
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...anchor</span></span></span> macros are empty by default. So, what is essentially inserted is just the path segment
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(\tikzparentnode)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(\tikzchildnode)</span></span></span>; which is exactly an edge from the parent to the
- child.
- <!--l. 622--><p class="noindent">You can modify this edge from parent path to achieve all sorts of effects. For example, we could replace
- the straight line by a curve as follows:
-
-
- <!--l. 625--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-290-" ><colgroup id="TBL-290-1g"><col
-id="TBL-290-1"><col
-id="TBL-290-2"></colgroup><tr
- valign="baseline" id="TBL-290-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-290-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-285.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-290-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span><span
-class="cmtt-8">&nbsp;path=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{(\tikzparentnode.south)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(0,-1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(0,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(\tikzchildnode.north)}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 638--><p class="noindent">Further useful edge from parent paths are defined in the tree library, see Section&nbsp;<a
-href="pgfmanualse14.html#x15-17400014.6">14.6<!--tex4ht:ref: section-tree-library --></a>.
- <!--l. 641--><p class="noindent">As said before, the anchors in the default edge from parent path are empty. However, you can set them
- using the following options:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">child anchor</span><a
- id="dx13-153005"></a><a
- id="dx13-153006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt; </span>Specifies the anchor where the edge from parent meets the child
- node by setting the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzchildanchor</span></span></span> to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 649--><p class="noindent">If you specify <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span></span></span> as the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span>, then the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzchildanchor</span></span></span> is set to the empty string.
- The effect of this is that the edge from the parent will meet the child on the border at an
- automatically calculated position.
- <!--l. 653--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-291-" ><colgroup id="TBL-291-1g"><col
-id="TBL-291-1"><col
-id="TBL-291-2"></colgroup><tr
- valign="baseline" id="TBL-291-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-291-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-286.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-291-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[child</span><span
-class="cmtt-8">&nbsp;anchor=north]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[dashed]}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[draw=none]}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">parent anchor</span><a
- id="dx13-153007"></a><a
- id="dx13-153008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt; </span>This option works the same way as the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span><span
-class="cmtt-10">&nbsp;anchor</span></span></span>, only for the
- parent.</li></ul>
- </li></ul>
- <!--l. 670--><p class="noindent">Besides inserting the edge from parent path, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span> operation has another effect: The
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are inserted directly before the edge from parent path and the following style is also installed prior
- to inserting the path:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">edge from parent</span><a
- id="dx13-153009"></a><a
- id="dx13-153010"></a> This style is inserted right before the edge from parent path and before the
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are inserted. By default, it just draws the edge from parent, but you can use it to make the
- edge look different.
-
-
- <!--l. 680--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-292-" ><colgroup id="TBL-292-1g"><col
-id="TBL-292-1"><col
-id="TBL-292-2"></colgroup><tr
- valign="baseline" id="TBL-292-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-292-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-287.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-292-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent}=[draw,red,thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[dashed]}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent[draw=none]}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- <!--l. 693--><p class="noindent">Note: The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>inserted before the edge from parent path is added <span
-class="cmti-10">apply to the whole child path</span>. Thus, it
- is not possible to, say, draw a circle in red as part of the child path and then have an edge to parent
- in blue. However, as always, the child node is a node and can be drawn in a totally different
- way.
- <!--l. 699--><p class="noindent">Finally, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;from</span><span
-class="cmtt-10">&nbsp;parent</span></span></span> operation has one more effect: It causes all nodes <span
-class="cmti-10">following </span>the operation to be
- placed on the edge. This is the same effect as if you had added the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos</span></span></span> option to all these nodes, see also
- Section&nbsp;<a
-href="pgfmanualse11.html#x12-14300011.6.1">11.6.1<!--tex4ht:ref: section-pos-option --></a>.
- <!--l. 704--><p class="noindent">As an example, consider the following code:
- <!--l. 705--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-293-" ><colgroup id="TBL-293-1g"><col
-id="TBL-293-1"></colgroup><tr
- valign="baseline" id="TBL-293-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-293-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\node</span><span
-class="cmtt-8">&nbsp;(root)</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;(child)</span><span
-class="cmtt-8">&nbsp;{}</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;to</span><span
-class="cmtt-8">&nbsp;parent</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{label}};</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 708--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">edge</span><span
-class="cmtt-10">&nbsp;to</span><span
-class="cmtt-10">&nbsp;parent</span></span></span> operation and the following <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation will, together, have the same effect as if we
- had said:
- <!--l. 710--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-294-" ><colgroup id="TBL-294-1g"><col
-id="TBL-294-1"></colgroup><tr
- valign="baseline" id="TBL-294-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-294-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">(root)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(child)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;[pos=0.5]</span><span
-class="cmtt-8">&nbsp;{label}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 714--><p class="noindent">Here is a more complicated example:
-
-
- <!--l. 715--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-295-" ><colgroup id="TBL-295-1g"><col
-id="TBL-295-1"><col
-id="TBL-295-2"></colgroup><tr
- valign="baseline" id="TBL-295-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-295-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-288.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-295-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{left}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{a}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{b}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{child}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[left]</span><span
-class="cmtt-8">&nbsp;{c}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[near</span><span
-class="cmtt-8">&nbsp;end]</span><span
-class="cmtt-8">&nbsp;{x}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse13.html" >next</a>] [<a
-href="pgfmanualse11.html" >prev</a>] [<a
-href="pgfmanualse11.html#tailpgfmanualse11.html" >prev-tail</a>] [<a
-href="pgfmanualse12.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse12.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse12.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse13.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse13.html
deleted file mode 100644
index 34f0f22a373..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse13.html
+++ /dev/null
@@ -1,1385 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>13 Transformations</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse12.html" >prev</a>] [<a
-href="pgfmanualse12.html#tailpgfmanualse12.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse13.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse13.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">13 </span> <a
- id="x14-15400013"></a>Transformations</h3>
-<!--l. 10--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;has a powerful transformation mechanism that is similar to the transformation capabilities of <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small></span>. The
-present section explains how you can access it in Ti<span
-class="cmti-10">k</span>Z.
-<!--l. 15--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">13.1 </span> <a
- id="x14-15500013.1"></a>The Different Coordinate Systems</h4>
-<!--l. 17--><p class="noindent">It is a long process from a coordinate like, say, (1<span
-class="cmmi-10">,</span>2) or (1cm<span
-class="cmmi-10">,</span>5<span
-class="cmmi-10">mathrm</span><span
-class="cmmi-10">pt</span>), to the position a point is finally placed
-on the display or paper. In order to find out where the point should go, it is constantly &#8220;transformed,&#8221;
-which means that it is mostly shifted around and possibly rotated, slanted, scaled, and otherwise
-mutilated.
-<!--l. 24--><p class="indent"> In detail, (at least) the following transformations are applied to a coordinate like (1<span
-class="cmmi-10">,</span>2) before a point on the
-screen is chosen:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x14-155002x1"></a><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;interprets a coordinate like (1<span
-class="cmmi-10">,</span>2) in its <span
-class="cmmi-10">xy</span>-coordinate system as &#8220;add the current <span
-class="cmmi-10">x</span>-vector once
- and the current <span
-class="cmmi-10">y</span>-vector twice to obtain the new point.&#8221;
- </li>
- <li class="enumerate" value="2"
-><a
- id="x14-155004x2"></a><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;applies its coordinate transformation matrix to the resulting coordinate. This yields the final
- position of the point inside the picture.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x14-155006x3"></a>The backend driver (like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span>) adds transformation commands such the coordinate is
- shifted to the correct position in <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s page coordinate system.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x14-155008x4"></a><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>(or PostScript) apply the canvas transformation matrix to the point, which can once more change
- the position on the page.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x14-155010x5"></a>The viewer application or the printer applies the device transformation matrix to transform the
- coordinate to its final pixel coordinate on the screen or paper.</li></ol>
-<!--l. 49--><p class="indent"> In reality, the process is even more involved, but the above should give the idea: A point is constantly
-transformed by changes of the coordinate system.
-<!--l. 53--><p class="indent"> In Ti<span
-class="cmti-10">k</span>Z, you only have access to the first two coordinate systems: The <span
-class="cmmi-10">xy</span>-coordinate system and the coordinate
-transformation matrix (these will be explained later). <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;also allows you to change the canvas transformation
-matrix, but you have to use commands of the core layer directly to do so and you &#8220;better know what you
-are doing&#8221; when you do this. The moment you start modifying the canvas matrix, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;immediately
-looses track of all coordinates and shapes, anchors, and bounding box computations will no longer
-work.
-<!--l. 64--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">13.2 </span> <a
- id="x14-15600013.2"></a>The Xy- and Xyz-Coordinate Systems</h4>
-<!--l. 66--><p class="noindent">The first and easiest coordinate systems are <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s <span
-class="cmmi-10">xy</span>- and <span
-class="cmmi-10">xyz</span>-coordinate systems. The idea is very simple:
-Whenever you specify a coordinate like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,3)</span></span></span> this means 2<span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">x</span></sub> + 3<span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">y</span></sub>, where <span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">x</span></sub> is the current <span
-class="cmmi-10">x</span><span
-class="cmti-10">-vector </span>and <span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">y</span></sub> is the
-current <span
-class="cmmi-10">y</span><span
-class="cmti-10">-vector</span>. Similarly, the coordinate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,2,3)</span></span></span> means <span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">x</span></sub> + 2<span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">y</span></sub> + 3<span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">z</span></sub>.
-<!--l. 73--><p class="indent"> Unlike other packages, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;does not insist that <span
-class="cmmi-10">v</span><sub ><span
-class="cmmi-7">x</span></sub> actually has a <span
-class="cmmi-10">y</span>-component of 0, that is, that it is a
-horizontal vector. Instead, the <span
-class="cmmi-10">x</span>-vector can point anywhere you want. Naturally, <span
-class="cmti-10">normally </span>you will want the
-<span
-class="cmmi-10">x</span>-vector to point horizontally.
-
-
-<!--l. 79--><p class="indent"> One undesirable effect of this flexibility is that it is not possible to provide mixed coordinates as in (1<span
-class="cmmi-10">,</span>2pt). Life
-is hard.
-<!--l. 82--><p class="indent"> To change the <span
-class="cmmi-10">x</span>-, <span
-class="cmmi-10">y</span>-, and <span
-class="cmmi-10">z</span>-vectors, you can use the following options:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">x</span><a
- id="dx14-156001"></a><a
- id="dx14-156002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the <span
-class="cmmi-10">x</span>-vector of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s <span
-class="cmmi-10">xyz</span>-coordinate system to point <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>to the right,
- that is, to (<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmmi-10">,</span>0<span
-class="cmmi-10">pt</span>). The default is 1cm.
- <!--l. 91--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-296-" ><colgroup id="TBL-296-1g"><col
-id="TBL-296-1"><col
-id="TBL-296-2"></colgroup><tr
- valign="baseline" id="TBL-296-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-296-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-289.svg" width="77.40703 " height="5.32722 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-296-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[x=2cm,color=red]</span><span
-class="cmtt-8">&nbsp;(0,0.1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 98--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-297-" ><colgroup id="TBL-297-1g"><col
-id="TBL-297-1"><col
-id="TBL-297-2"></colgroup><tr
- valign="baseline" id="TBL-297-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-297-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-290.svg" width="115.34387 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-297-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[x=1.5cm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,2);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 102--><p class="noindent">The last example shows that the size of steppings in grids, just like all other dimensions, are not affected by
- the <span
-class="cmmi-10">x</span>-vector. After all, the <span
-class="cmmi-10">x</span>-vector is only used to determine the coordinate of the upper right corner of the
- grid.
- </li>
- <li class="itemize"><span
-class="cmtt-10">x</span><a
- id="dx14-156003"></a><a
- id="dx14-156004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>Sets the <span
-class="cmmi-10">x</span>-vector of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s <span
-class="cmmi-10">xyz</span>-coordinate system to the specified <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. If <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>
- contains a comma, it must be put in braces.
- <!--l. 111--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-298-" ><colgroup id="TBL-298-1g"><col
-id="TBL-298-1"><col
-id="TBL-298-2"></colgroup><tr
- valign="baseline" id="TBL-298-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-298-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-291.svg" width="77.40703 " height="20.50172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-298-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[x={(2cm,0.5cm)},color=red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 118--><p class="noindent">You can use this, for example, to exchange the meaning of the <span
-class="cmmi-10">x</span>- and <span
-class="cmmi-10">y</span>-coordinate.
- <!--l. 121--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-299-" ><colgroup id="TBL-299-1g"><col
-id="TBL-299-1"><col
-id="TBL-299-2"></colgroup><tr
- valign="baseline" id="TBL-299-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-299-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-292.svg" width="123.23933 " height="123.23933 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-299-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[smooth]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;coordinates{(1,0)</span><span
-class="cmtt-8">&nbsp;(2,0.5)</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;(3,1)};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[x={(0cm,1cm)},y={(1cm,0cm)},color=red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;coordinates{(1,0)</span><span
-class="cmtt-8">&nbsp;(2,0.5)</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;(3,1)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">y</span><a
- id="dx14-156005"></a><a
- id="dx14-156006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>Works like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x=</span></span></span> option, only if <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>is a dimension, the resulting vector points to
- (0<span
-class="cmmi-10">,</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span>).
- </li>
- <li class="itemize"><span
-class="cmtt-10">z</span><a
- id="dx14-156007"></a><a
- id="dx14-156008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>Works like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">z=</span></span></span> option, but now a dimension is means the point (<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmmi-10">,</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span>).
-
-
- <!--l. 136--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-300-" ><colgroup id="TBL-300-1g"><col
-id="TBL-300-1"><col
-id="TBL-300-2"></colgroup><tr
- valign="baseline" id="TBL-300-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-300-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-293.svg" width="77.94034 " height="77.94034 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-300-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[z=-1cm,-&gt;,thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red]</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=blue]</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=orange]</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 147--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">13.3 </span> <a
- id="x14-15700013.3"></a>Coordinate Transformations</h4>
-<!--l. 149--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z&nbsp;allow you to specify <span
-class="cmti-10">coordinate transformations</span>. Whenever you specify a coordinate as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span></span></span> or
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1cm,1pt)</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:2cm)</span></span></span>, this coordinate is first &#8220;reduced&#8221; to a position of the form &#8220;<span
-class="cmmi-10">x </span>points to the right and <span
-class="cmmi-10">y</span>
-points upwards.&#8221; For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1in,5pt)</span></span></span> is reduced to &#8220;72<img
-src="pgfmanual22x.gif" alt="-72
-100" class="frac" align="middle"> points to the right and 5 points upwards&#8221; and
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(90:100pt)</span></span></span> means &#8220;0pt to the right and 100 points upwards.&#8221;
-<!--l. 157--><p class="indent"> The next step is to apply the current <span
-class="cmti-10">coordinate transformation matrix </span>to the coordinate. For example, the
-coordinate transformation matrix might currently be set such that it adds a certain constant to the <span
-class="cmmi-10">x </span>value. Also, it
-might be setup such that it, say, exchanges the <span
-class="cmmi-10">x </span>and <span
-class="cmmi-10">y </span>value. In general, any &#8220;standard&#8221; transformation like
-translation, rotation, slanting, or scaling or any combination thereof is possible. (Internally, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;keeps
-track of a coordinate transformation matrix very much like the concatenation matrix used by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>or
-PostScript.)
-<!--l. 167--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-301-" ><colgroup id="TBL-301-1g"><col
-id="TBL-301-1"><col
-id="TBL-301-2"></colgroup><tr
- valign="baseline" id="TBL-301-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-301-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-294.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-301-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[xshift=1cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[yshift=1cm]</span><span
-class="cmtt-8">&nbsp;[blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate=30]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[orange]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 179--><p class="indent"> The most important aspect of the coordinate transformation matrix is <span
-class="cmti-10">that it applies to coordinates</span>
-<span
-class="cmti-10">only! </span>In particular, the coordinate transformation has no effect on things like the line width or the
-dash pattern or the shading angle. In certain cases, it is not immediately clear whether the coordinate
-transformation matrix <span
-class="cmti-10">should </span>apply to a certain dimension. For example, should the coordinate transformation
-matrix apply to grids? (It does.) And what about the size of arced corners? (It does not.) The general
-rule is &#8220;If there is no &#8216;coordinate&#8217; involved, even &#8216;indirectly,&#8217; the matrix is not applied.&#8221; However,
-sometimes, you simply have to try or look it up in the documentation whether the matrix will be
-applied.
-<!--l. 191--><p class="indent"> Setting the matrix cannot be done directly. Rather, all you can do is to &#8220;add&#8221; another transformation to the
-current matrix. However, all transformations are local to the current <span class="TEX">T<span
-class="E">E</span>X</span>-group. All transformations are added
-using graphic options, which are described below.
-<!--l. 197--><p class="indent"> Transformations apply immediately when they are encountered &#8220;in the middle of a path&#8221; and they apply only to
-the coordinates on the path following the transformation option.
-<!--l. 201--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-302-" ><colgroup id="TBL-302-1g"><col
-id="TBL-302-1"><col
-id="TBL-302-2"></colgroup><tr
- valign="baseline" id="TBL-302-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-302-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-295.svg" width="115.34387 " height="20.50172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-302-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5)</span><span
-class="cmtt-8">&nbsp;[xshift=2cm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,0.5);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 205--><p class="indent"> A final word of warning: You should refrain from using &#8220;aggressive&#8221; transformations like a scaling of a factor of
-10000. The reason is that all transformations are done using <span class="TEX">T<span
-class="E">E</span>X</span>, which has a fairly low accuracy. Furthermore, in
-certain situations it is necessary that Ti<span
-class="cmti-10">k</span>Z&nbsp;<span
-class="cmti-10">inverts </span>the current transformation matrix and this will fail if the
-transformation matrix is badly conditioned or even singular (if you do not know what singular matrices are, you are
-
-
-blessed).
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">shift</span><a
- id="dx14-157001"></a><a
- id="dx14-157002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">={</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span> adds the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>to all coordinates.
- <!--l. 216--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-303-" ><colgroup id="TBL-303-1g"><col
-id="TBL-303-1"><col
-id="TBL-303-2"></colgroup><tr
- valign="baseline" id="TBL-303-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-303-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-296.svg" width="115.21051 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-303-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift={(1,1)},blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift={(30:1cm)},red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">xshift</span><a
- id="dx14-157003"></a><a
- id="dx14-157004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>adds <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>to the <span
-class="cmmi-10">x </span>value of all coordinates.
- <!--l. 227--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-304-" ><colgroup id="TBL-304-1g"><col
-id="TBL-304-1"><col
-id="TBL-304-2"></colgroup><tr
- valign="baseline" id="TBL-304-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-304-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-297.svg" width="128.67715 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-304-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=2cm,blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=-10pt,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">yshift</span><a
- id="dx14-157005"></a><a
- id="dx14-157006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>adds <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>to the <span
-class="cmmi-10">y </span>value of all coordinates.
- </li>
- <li class="itemize"><span
-class="cmtt-10">scale</span><a
- id="dx14-157007"></a><a
- id="dx14-157008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>multiplies all coordinates by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>should not be excessively large in
- absolute terms or very near to zero.
- <!--l. 243--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-305-" ><colgroup id="TBL-305-1g"><col
-id="TBL-305-1"><col
-id="TBL-305-2"></colgroup><tr
- valign="baseline" id="TBL-305-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-305-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-298.svg" width="153.14735 " height="115.34386 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-305-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[scale=2,blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[scale=-1,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">xscale</span><a
- id="dx14-157009"></a><a
- id="dx14-157010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>multiplies only the <span
-class="cmmi-10">x</span>-value of all coordinates by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>.
-
-
- <!--l. 255--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-306-" ><colgroup id="TBL-306-1g"><col
-id="TBL-306-1"><col
-id="TBL-306-2"></colgroup><tr
- valign="baseline" id="TBL-306-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-306-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-299.svg" width="153.14735 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-306-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xscale=2,blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xscale=-1,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">yscale</span><a
- id="dx14-157011"></a><a
- id="dx14-157012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>multiplies only the <span
-class="cmmi-10">y</span>-value of all coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">xslant</span><a
- id="dx14-157013"></a><a
- id="dx14-157014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>slants the coordinate horizontally by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>:
- <!--l. 269--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-307-" ><colgroup id="TBL-307-1g"><col
-id="TBL-307-1"><col
-id="TBL-307-2"></colgroup><tr
- valign="baseline" id="TBL-307-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-307-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-300.svg" width="115.34386 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-307-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xslant=2,blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xslant=-1,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">yslant</span><a
- id="dx14-157015"></a><a
- id="dx14-157016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>slants the coordinate vertically by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>:
- <!--l. 280--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-308-" ><colgroup id="TBL-308-1g"><col
-id="TBL-308-1"><col
-id="TBL-308-2"></colgroup><tr
- valign="baseline" id="TBL-308-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-308-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-301.svg" width="115.21051 " height="153.2807 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-308-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[yslant=2,blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[yslant=-1,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">rotate</span><a
- id="dx14-157017"></a><a
- id="dx14-157018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt; </span>rotates the coordinate system by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt;</span>:
- <!--l. 291--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-309-" ><colgroup id="TBL-309-1g"><col
-id="TBL-309-1"><col
-id="TBL-309-2"></colgroup><tr
- valign="baseline" id="TBL-309-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-309-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-302.svg" width="115.21051 " height="90.24904 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-309-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate=40,blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate=-20,red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">rotate around</span><a
- id="dx14-157019"></a><a
- id="dx14-157020"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">={</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">:</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span> rotates the coordinate system by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt; </span>around the point
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 303--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-310-" ><colgroup id="TBL-310-1g"><col
-id="TBL-310-1"><col
-id="TBL-310-2"></colgroup><tr
- valign="baseline" id="TBL-310-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-310-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-303.svg" width="125.89818 " height="92.78334 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-310-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate</span><span
-class="cmtt-8">&nbsp;around={40:(1,1)},blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate</span><span
-class="cmtt-8">&nbsp;around={-20:(1,1)},red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">cm</span><a
- id="dx14-157021"></a><a
- id="dx14-157022"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">={</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">a</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">,</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">b</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">,</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">c</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">,</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">d</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">,</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span> applies the following transformation to all coordinates: Let (<span
-class="cmmi-10">x,y</span>) be the
- coordinate to be transformed and let <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>specify the point (<span
-class="cmmi-10">t</span><sub ><span
-class="cmmi-7">x</span></sub><span
-class="cmmi-10">,t</span><sub ><span
-class="cmmi-7">y</span></sub>). Then the new coordinate is given
- by <img
-src="pgfmanual23x.gif" alt="(a b)
- c d" class="left" align="middle"><img
-src="pgfmanual24x.gif" alt=" x
-(y)" class="left" align="middle"> + <img
-src="pgfmanual25x.gif" alt="(tx)
- ty" class="left" align="middle">. Usually, you do not use this option directly.
- <!--l. 321--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-311-" ><colgroup id="TBL-311-1g"><col
-id="TBL-311-1"><col
-id="TBL-311-2"></colgroup><tr
- valign="baseline" id="TBL-311-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-311-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-304.svg" width="115.21051 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-311-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[cm={1,1,0,1,(0,0)},blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[cm={0,1,1,0,(1cm,1cm)},red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">reset cm</span><a
- id="dx14-157023"></a><a
- id="dx14-157024"></a> completely resets the coordinate transformation matrix to the identity matrix. This will destroy not
- only the transformations applied in the current scope, but also all transformations inherited from surrounding
- scopes. Do not use this option.</li></ul>
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse12.html" >prev</a>] [<a
-href="pgfmanualse12.html#tailpgfmanualse12.html" >prev-tail</a>] [<a
-href="pgfmanualse13.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse13.html" >up</a>] </p></div>
-<!--l. 181--><p class="indent"> <a
- id="tailpgfmanualse13.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse14.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse14.html
deleted file mode 100644
index 269a0bd0738..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse14.html
+++ /dev/null
@@ -1,3886 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>14 Libraries</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse15.html" >next</a>] [<a
-href="#tailpgfmanualse14.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse14.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">14 </span> <a
- id="x15-15900014"></a>Libraries</h3>
-<!--l. 10--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.1 </span> <a
- id="x15-16000014.1"></a>Arrow Tip Library</h4>
-<!--l. 13--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox96"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibraryarrows</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-160001"></a>
-<a
- id="dx15-160002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox97"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryarrows</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox98"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryarrows</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 14--><p class="noindent">The package defines additional arrow tips, which are described below. See page&nbsp;<a
-href="pgfmanualse24.html#x25-25900024.5">295<!--tex4ht:ref: section-pos-option --></a> for the arrows tips
- that are defined by default. Note that neither the standard packages nor this package defines an arrow
- name containing <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;</span></span></span>. These are left for the user to defined as he or she sees fit. </dd></dl>
-<!--l. 21--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.1 </span> <a
- id="x15-16100014.1.1"></a>Triangular Arrow Tips</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-313-" ><colgroup id="TBL-313-1g"><col
-id="TBL-313-1"><col
-id="TBL-313-2"></colgroup><tr
- valign="baseline" id="TBL-313-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-1-1"
-class="td11"> <a
- id="dx15-161001"></a><a
- id="dx15-161002"></a> <span
-class="cmtt-10">latex' </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-1-2"
-class="td11"> yields thick <object data="pgfmanual-306.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-307.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-2-1"
-class="td11"> <a
- id="dx15-161003"></a><a
- id="dx15-161004"></a> <span
-class="cmtt-10">latex' reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-2-2"
-class="td11"> yields thick <object data="pgfmanual-308.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-309.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-3-1"
-class="td11"> <a
- id="dx15-161005"></a><a
- id="dx15-161006"></a> <span
-class="cmtt-10">stealth' </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-3-2"
-class="td11"> yields thick <object data="pgfmanual-310.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-311.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-4-1"
-class="td11"> <a
- id="dx15-161007"></a><a
- id="dx15-161008"></a> <span
-class="cmtt-10">stealth' reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-4-2"
-class="td11"> yields thick <object data="pgfmanual-312.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-313.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-5-1"
-class="td11"> <a
- id="dx15-161009"></a><a
- id="dx15-161010"></a> <span
-class="cmtt-10">triangle 90 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-5-2"
-class="td11"> yields thick <object data="pgfmanual-314.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-315.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-6-1"
-class="td11"> <a
- id="dx15-161011"></a><a
- id="dx15-161012"></a> <span
-class="cmtt-10">triangle 90 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-6-2"
-class="td11"> yields thick <object data="pgfmanual-316.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-317.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-7-1"
-class="td11"> <a
- id="dx15-161013"></a><a
- id="dx15-161014"></a> <span
-class="cmtt-10">triangle 60 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-7-2"
-class="td11"> yields thick <object data="pgfmanual-318.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-319.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-8-1"
-class="td11"> <a
- id="dx15-161015"></a><a
- id="dx15-161016"></a> <span
-class="cmtt-10">triangle 60 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-8-2"
-class="td11"> yields thick <object data="pgfmanual-320.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-321.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-9-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-9-1"
-class="td11"> <a
- id="dx15-161017"></a><a
- id="dx15-161018"></a> <span
-class="cmtt-10">triangle 45 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-9-2"
-class="td11"> yields thick <object data="pgfmanual-322.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-323.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-10-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-10-1"
-class="td11"> <a
- id="dx15-161019"></a><a
- id="dx15-161020"></a> <span
-class="cmtt-10">triangle 45 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-10-2"
-class="td11"> yields thick <object data="pgfmanual-324.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-325.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-11-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-11-1"
-class="td11"> <a
- id="dx15-161021"></a><a
- id="dx15-161022"></a> <span
-class="cmtt-10">open triangle 90 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-11-2"
-class="td11"> yields thick <object data="pgfmanual-326.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-327.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-12-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-12-1"
-class="td11"> <a
- id="dx15-161023"></a><a
- id="dx15-161024"></a> <span
-class="cmtt-10">open triangle 90 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-12-2"
-class="td11"> yields thick <object data="pgfmanual-328.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-329.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-13-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-13-1"
-class="td11"> <a
- id="dx15-161025"></a><a
- id="dx15-161026"></a> <span
-class="cmtt-10">open triangle 60 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-13-2"
-class="td11"> yields thick <object data="pgfmanual-330.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-331.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-14-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-14-1"
-class="td11"> <a
- id="dx15-161027"></a><a
- id="dx15-161028"></a> <span
-class="cmtt-10">open triangle 60 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-14-2"
-class="td11"> yields thick <object data="pgfmanual-332.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-333.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-15-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-15-1"
-class="td11"> <a
- id="dx15-161029"></a><a
- id="dx15-161030"></a> <span
-class="cmtt-10">open triangle 45 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-15-2"
-class="td11"> yields thick <object data="pgfmanual-334.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-335.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-16-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-16-1"
-class="td11"> <a
- id="dx15-161031"></a><a
- id="dx15-161032"></a> <span
-class="cmtt-10">open triangle 45 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-16-2"
-class="td11"> yields thick <object data="pgfmanual-336.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-337.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-313-17-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-313-17-1"
-class="td11"> </td> </tr></table>
-</div>
-<!--l. 42--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.2 </span> <a
- id="x15-16200014.1.2"></a>Barbed Arrow Tips</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-314-" ><colgroup id="TBL-314-1g"><col
-id="TBL-314-1"><col
-id="TBL-314-2"></colgroup><tr
- valign="baseline" id="TBL-314-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-1-1"
-class="td11"> <a
- id="dx15-162001"></a><a
- id="dx15-162002"></a> <span
-class="cmtt-10">angle 90 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-1-2"
-class="td11"> yields thick <object data="pgfmanual-338.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-339.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-2-1"
-class="td11"> <a
- id="dx15-162003"></a><a
- id="dx15-162004"></a> <span
-class="cmtt-10">angle 90 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-2-2"
-class="td11"> yields thick <object data="pgfmanual-340.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-341.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-3-1"
-class="td11"> <a
- id="dx15-162005"></a><a
- id="dx15-162006"></a> <span
-class="cmtt-10">angle 60 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-3-2"
-class="td11"> yields thick <object data="pgfmanual-342.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-343.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-4-1"
-class="td11"> <a
- id="dx15-162007"></a><a
- id="dx15-162008"></a> <span
-class="cmtt-10">angle 60 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-4-2"
-class="td11"> yields thick <object data="pgfmanual-344.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-345.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-5-1"
-class="td11"> <a
- id="dx15-162009"></a><a
- id="dx15-162010"></a> <span
-class="cmtt-10">angle 45 </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-5-2"
-class="td11"> yields thick <object data="pgfmanual-346.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-347.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-6-1"
-class="td11"> <a
- id="dx15-162011"></a><a
- id="dx15-162012"></a> <span
-class="cmtt-10">angle 45 reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-6-2"
-class="td11"> yields thick <object data="pgfmanual-348.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-349.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-7-1"
-class="td11"> <a
- id="dx15-162013"></a><a
- id="dx15-162014"></a> <span
-class="cmtt-10">hooks </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-7-2"
-class="td11"> yields thick <object data="pgfmanual-350.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-351.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-8-1"
-class="td11"> <a
- id="dx15-162015"></a><a
- id="dx15-162016"></a> <span
-class="cmtt-10">hooks reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-8-2"
-class="td11"> yields thick <object data="pgfmanual-352.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-353.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-314-9-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-314-9-1"
-class="td11"> </td> </tr></table>
-</div>
-
-
-<!--l. 56--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.3 </span> <a
- id="x15-16300014.1.3"></a>Bracket-Like Arrow Tips</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-315-" ><colgroup id="TBL-315-1g"><col
-id="TBL-315-1"><col
-id="TBL-315-2"></colgroup><tr
- valign="baseline" id="TBL-315-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-1-1"
-class="td11"> <a
- id="dx15-163001"></a><a
- id="dx15-163002"></a> <a
- id="dx15-163003"></a><a
- id="dx15-163004"></a> <span
-class="cmtt-10">[-] </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-1-2"
-class="td11"> yields thick <object data="pgfmanual-354.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-355.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-315-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-2-1"
-class="td11"> <a
- id="dx15-163005"></a><a
- id="dx15-163006"></a> <a
- id="dx15-163007"></a><a
- id="dx15-163008"></a> <span
-class="cmtt-10">]-[ </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-2-2"
-class="td11"> yields thick <object data="pgfmanual-356.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-357.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-315-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-3-1"
-class="td11"> <a
- id="dx15-163009"></a><a
- id="dx15-163010"></a> <a
- id="dx15-163011"></a><a
- id="dx15-163012"></a> <span
-class="cmtt-10">(-) </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-3-2"
-class="td11"> yields thick <object data="pgfmanual-358.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-359.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-315-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-4-1"
-class="td11"> <a
- id="dx15-163013"></a><a
- id="dx15-163014"></a> <a
- id="dx15-163015"></a><a
- id="dx15-163016"></a> <span
-class="cmtt-10">)-( </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-4-2"
-class="td11"> yields thick <object data="pgfmanual-360.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-361.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td> </tr></table>
-</div>
-<!--l. 65--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.4 </span> <a
- id="x15-16400014.1.4"></a>Circle and Diamond Arrow Tips</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-316-" ><colgroup id="TBL-316-1g"><col
-id="TBL-316-1"><col
-id="TBL-316-2"></colgroup><tr
- valign="baseline" id="TBL-316-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-1-1"
-class="td11"> <a
- id="dx15-164001"></a><a
- id="dx15-164002"></a> <span
-class="cmtt-10">o </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-1-2"
-class="td11"> yields thick <object data="pgfmanual-362.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-363.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-316-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-2-1"
-class="td11"> <a
- id="dx15-164003"></a><a
- id="dx15-164004"></a> <span
-class="cmtt-10">* </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-2-2"
-class="td11"> yields thick <object data="pgfmanual-364.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-365.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-316-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-3-1"
-class="td11"> <a
- id="dx15-164005"></a><a
- id="dx15-164006"></a> <span
-class="cmtt-10">diamond </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-3-2"
-class="td11"> yields thick <object data="pgfmanual-366.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-367.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-316-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-4-1"
-class="td11"> <a
- id="dx15-164007"></a><a
- id="dx15-164008"></a> <span
-class="cmtt-10">open diamond </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-4-2"
-class="td11"> yields thick <object data="pgfmanual-368.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-369.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-316-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-5-1"
-class="td11"> </td> </tr></table>
-</div>
-<!--l. 76--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.5 </span> <a
- id="x15-16500014.1.5"></a>Partial Arrow Tips</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-317-" ><colgroup id="TBL-317-1g"><col
-id="TBL-317-1"><col
-id="TBL-317-2"></colgroup><tr
- valign="baseline" id="TBL-317-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-1-1"
-class="td11"> <a
- id="dx15-165001"></a><a
- id="dx15-165002"></a> <span
-class="cmtt-10">left to </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-1-2"
-class="td11"> yields thick <object data="pgfmanual-370.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-371.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-2-1"
-class="td11"> <a
- id="dx15-165003"></a><a
- id="dx15-165004"></a> <span
-class="cmtt-10">left to reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-2-2"
-class="td11"> yields thick <object data="pgfmanual-372.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-373.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-3-1"
-class="td11"> <a
- id="dx15-165005"></a><a
- id="dx15-165006"></a> <span
-class="cmtt-10">right to </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-3-2"
-class="td11"> yields thick <object data="pgfmanual-374.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-375.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-4-1"
-class="td11"> <a
- id="dx15-165007"></a><a
- id="dx15-165008"></a> <span
-class="cmtt-10">right to reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-4-2"
-class="td11"> yields thick <object data="pgfmanual-376.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-377.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-5-1"
-class="td11"> <a
- id="dx15-165009"></a><a
- id="dx15-165010"></a> <span
-class="cmtt-10">left hook </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-5-2"
-class="td11"> yields thick <object data="pgfmanual-378.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-379.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-6-1"
-class="td11"> <a
- id="dx15-165011"></a><a
- id="dx15-165012"></a> <span
-class="cmtt-10">left hook reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-6-2"
-class="td11"> yields thick <object data="pgfmanual-380.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-381.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-7-1"
-class="td11"> <a
- id="dx15-165013"></a><a
- id="dx15-165014"></a> <span
-class="cmtt-10">right hook </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-7-2"
-class="td11"> yields thick <object data="pgfmanual-382.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-383.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-317-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-8-1"
-class="td11"> <a
- id="dx15-165015"></a><a
- id="dx15-165016"></a> <span
-class="cmtt-10">right hook reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-317-8-2"
-class="td11"> yields thick <object data="pgfmanual-384.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-385.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td> </tr></table>
-</div>
-<!--l. 90--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.1.6 </span> <a
- id="x15-16600014.1.6"></a>Line Caps</h5>
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-318-" ><colgroup id="TBL-318-1g"><col
-id="TBL-318-1"><col
-id="TBL-318-2"></colgroup><tr
- valign="baseline" id="TBL-318-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-1-1"
-class="td11"> <a
- id="dx15-166001"></a><a
- id="dx15-166002"></a> <span
-class="cmtt-10">round cap </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-1-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-386.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-2-1"
-class="td11"> <a
- id="dx15-166003"></a><a
- id="dx15-166004"></a> <span
-class="cmtt-10">butt cap </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-2-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-387.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-3-1"
-class="td11"> <a
- id="dx15-166005"></a><a
- id="dx15-166006"></a> <span
-class="cmtt-10">triangle 90 cap </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-3-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-388.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-4-1"
-class="td11"> <a
- id="dx15-166007"></a><a
- id="dx15-166008"></a> <span
-class="cmtt-10">triangle 90 cap reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-4-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-389.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-5-1"
-class="td11"> <a
- id="dx15-166009"></a><a
- id="dx15-166010"></a> <span
-class="cmtt-10">fast cap </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-5-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-390.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-6-1"
-class="td11"> <a
- id="dx15-166011"></a><a
- id="dx15-166012"></a> <span
-class="cmtt-10">fast cap reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-6-2"
-class="td11"> yields for line width 1ex <object data="pgfmanual-391.svg" width="57.90527 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-318-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-7-1"
-class="td11"> </td> </tr></table>
-</div>
-<!--l. 102--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.2 </span> <a
- id="x15-16700014.2"></a>Snake Library</h4>
-<!--l. 106--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox99"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibrarysnakes</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-167001"></a>
-<a
- id="dx15-167002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox100"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarysnakes</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox101"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarysnakes</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 107--><p class="noindent">This library package defines basic snakes. Section&nbsp;<a
-href="pgfmanualse9.html#x10-1020009.2.3">9.2.3<!--tex4ht:ref: section-tikz-snakes --></a> explains how snakes are used in Ti<span
-class="cmti-10">k</span>Z,
- Section&nbsp;<a
-href="pgfmanualse22.html#x23-22900022">22<!--tex4ht:ref: section-base-snakes --></a> explains how new snakes can be defined.
-
-
- <!--l. 112--><p class="noindent">The snakes are influenced by the current values of parameters like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span>. Only
- this parameter and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> are proper <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions, all other parameters are
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;macros.
- <!--l. 117--><p class="noindent">In Ti<span
-class="cmti-10">k</span>Z, each parameter can be set using an option having the parameters name minus the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnake</span></span></span>
- part. </dd></dl>
-<!--l. 122--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox102">Snake <span
-class="cmtt-10">border</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167003"></a>
-<a
- id="dx15-167004"></a>
- <!--l. 123--><p class="noindent">This snake adds straight lines the path that are at a specific angle to the line toward the target. The idea is to
- add these little lines to indicate the &#8220;border&#8221; or an area. The following parameters influence the
- snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between consecutive ticks.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines the length of the ticks.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentangle</span></span></span> determines the angle between the ticks and the line toward the target.</li></ul>
- <!--l. 136--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-319-" ><colgroup id="TBL-319-1g"><col
-id="TBL-319-1"><col
-id="TBL-319-2"></colgroup><tr
- valign="baseline" id="TBL-319-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-319-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-392.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-319-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[snake=border,segment</span><span
-class="cmtt-8">&nbsp;angle=-45]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,1);}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 143--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox103">Snake <span
-class="cmtt-10">brace</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167005"></a>
-<a
- id="dx15-167006"></a>
- <!--l. 144--><p class="noindent">This snake adds a long brace to the path. The left and right end of the brace will be exactly on the start and
- endpoint of the snake. The following parameters influence the snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines how much the brace rises above the path.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentaspect</span></span></span> determines the fraction of the total length where the &#8220;middle part&#8221; of
- the brace will be.</li></ul>
- <!--l. 154--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-320-" ><colgroup id="TBL-320-1g"><col
-id="TBL-320-1"><col
-id="TBL-320-2"></colgroup><tr
- valign="baseline" id="TBL-320-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-320-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-393.svg" width="114.90073 " height="4.86664 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-320-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=brace,segment</span><span
-class="cmtt-8">&nbsp;aspect=0.25]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 159--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox104">Snake <span
-class="cmtt-10">bumps</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167007"></a>
-<a
- id="dx15-167008"></a>
- <!--l. 160--><p class="noindent">This snake consists of little half ellipses. The following parameters influence the snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines the height of the half ellipse.
-
-
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the width of the half ellipse.</li></ul>
- <!--l. 168--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-321-" ><colgroup id="TBL-321-1g"><col
-id="TBL-321-1"><col
-id="TBL-321-2"></colgroup><tr
- valign="baseline" id="TBL-321-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-321-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-394.svg" width="114.90073 " height="4.86664 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-321-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=bumps]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 174--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox105">Snake <span
-class="cmtt-10">coil</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167009"></a>
-<a
- id="dx15-167010"></a>
- <!--l. 175--><p class="noindent">This snake adds a coil to the path. To understand how this works, imagine a three-dimensional spring. The
- spring&#8217;s axis points along the line toward the target. Then, we &#8220;view&#8221; the spring from a certain angle. If we
- look &#8220;straight from the side&#8221; we will see a perfect sine curve, if we look &#8220;more from the front&#8221; we will see a
- coil. The following parameters influence the snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines how much the coil rises above the path and falls below
- it. Thus, this is the radius of the coil.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between two consecutive &#8220;curls.&#8221; Thus, when
- the spring is see &#8220;from the side&#8221; this will be the wave length of the sine curve.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentaspect</span></span></span> determines the &#8220;viewing direction.&#8221; A value of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0</span></span></span> means &#8220;looking from
- the side&#8221; and a value of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span>, which is the default, means &#8220;look more from the front.&#8221;</li></ul>
- <!--l. 194--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-322-" ><colgroup id="TBL-322-1g"><col
-id="TBL-322-1"><col
-id="TBL-322-2"></colgroup><tr
- valign="baseline" id="TBL-322-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-322-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-395.svg" width="114.90073 " height="66.13673 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-322-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[segment</span><span
-class="cmtt-8">&nbsp;amplitude=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil,segment</span><span
-class="cmtt-8">&nbsp;aspect=0]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 203--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox106">Snake <span
-class="cmtt-10">expanding waves</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167011"></a>
-<a
- id="dx15-167012"></a>
- <!--l. 204--><p class="noindent">This snake adds arcs to the path that get bigger along the line towards the target. The following parameters
- influence the snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between consecutive arcs.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentangle</span></span></span> determines the opening angle below and above the path. Thus, the total
- opening angle is twice this angle.</li></ul>
-
-
- <!--l. 213--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-323-" ><colgroup id="TBL-323-1g"><col
-id="TBL-323-1"><col
-id="TBL-323-2"></colgroup><tr
- valign="baseline" id="TBL-323-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-323-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-396.svg" width="118.81558 " height="152.38235 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-323-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=expanding</span><span
-class="cmtt-8">&nbsp;waves]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 219--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox107">Snake <span
-class="cmtt-10">saw</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167013"></a>
-<a
- id="dx15-167014"></a>
- <!--l. 220--><p class="noindent">This snake looks like the blade of a saw. The following parameters influence the snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines how much each spike raises above the straight line.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the length each spike.</li></ul>
- <!--l. 228--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-324-" ><colgroup id="TBL-324-1g"><col
-id="TBL-324-1"><col
-id="TBL-324-2"></colgroup><tr
- valign="baseline" id="TBL-324-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-324-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-397.svg" width="114.90073 " height="4.86664 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-324-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=saw]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 234--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox108">Snake <span
-class="cmtt-10">snake</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167015"></a>
-<a
- id="dx15-167016"></a>
- <!--l. 235--><p class="noindent">This snake is the &#8220;architypical&#8221; snake: It looks like a snake seen from above. More precisely, the
- snake is a sine wave with a &#8220;softened&#8221; start and ending. The following parameters influence the
- snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines the sine wave&#8217;s amplitude.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the sine wave&#8217;s wave length.</li></ul>
- <!--l. 245--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-325-" ><colgroup id="TBL-325-1g"><col
-id="TBL-325-1"><col
-id="TBL-325-2"></colgroup><tr
- valign="baseline" id="TBL-325-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-325-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-398.svg" width="114.90073 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-325-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=snake]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 251--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox109">Snake <span
-class="cmtt-10">ticks</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167017"></a>
-<a
- id="dx15-167018"></a>
- <!--l. 252--><p class="noindent">This snake adds straight lines the path that are orthogonal to the line toward the target. The following
- parameters influence the snake:
-
-
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between consecutive ticks.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines half the length of the ticks.</li></ul>
- <!--l. 260--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-326-" ><colgroup id="TBL-326-1g"><col
-id="TBL-326-1"><col
-id="TBL-326-2"></colgroup><tr
- valign="baseline" id="TBL-326-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-326-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-399.svg" width="114.90073 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-326-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=ticks]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 264--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox110">Snake <span
-class="cmtt-10">triangles</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167019"></a>
-<a
- id="dx15-167020"></a>
- <!--l. 265--><p class="noindent">This snake adds triangles to the path that point toward the target. The following parameters influence the
- snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between consecutive triangles.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines half the length of the triangle side that is orthogonal
- to the path.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentobjectlength</span></span></span> determines the height of the triangle.</li></ul>
- <!--l. 276--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-327-" ><colgroup id="TBL-327-1g"><col
-id="TBL-327-1"><col
-id="TBL-327-2"></colgroup><tr
- valign="baseline" id="TBL-327-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-327-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-400.svg" width="114.90073 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-327-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=triangles]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 282--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox111">Snake <span
-class="cmtt-10">waves</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167021"></a>
-<a
- id="dx15-167022"></a>
- <!--l. 283--><p class="noindent">This snake adds arcs to the path that have a constant size. The following parameters influence the
- snake:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the distance between consecutive arcs.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentangle</span></span></span> determines the opening angle below and above the path. Thus, the total
- opening angle is twice this angle.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines the radius of each arc.</li></ul>
- <!--l. 294--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-328-" ><colgroup id="TBL-328-1g"><col
-id="TBL-328-1"><col
-id="TBL-328-2"></colgroup><tr
- valign="baseline" id="TBL-328-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-328-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-401.svg" width="114.90073 " height="6.24733 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-328-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=waves]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 300--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox112">Snake <span
-class="cmtt-10">zigzag</span></span> </dt><dd
-class="description">
-<a
- id="dx15-167023"></a>
-<a
- id="dx15-167024"></a>
- <!--l. 301--><p class="noindent">This snake looks like a zig-zag line. The following parameters influence the snake:
-
-
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentamplitude</span></span></span> determines how much the zig-zag lines raises above and falls below
- a straight line to the target point.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesegmentlength</span></span></span> determines the length of a complete &#8220;up-down&#8221; cycle.</li></ul>
- <!--l. 310--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-329-" ><colgroup id="TBL-329-1g"><col
-id="TBL-329-1"><col
-id="TBL-329-2"></colgroup><tr
- valign="baseline" id="TBL-329-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-329-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-402.svg" width="114.90073 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-329-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[snake=zigzag]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 317--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.3 </span> <a
- id="x15-16800014.3"></a>Plot Handler Library</h4>
-<!--l. 320--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox113"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibraryplothandlers</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-168001"></a>
-<a
- id="dx15-168002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox114"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryplothandlers</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox115"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryplothandlers</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 321--><p class="noindent">This library packages defines additional plot handlers, see Section&nbsp;<a
-href="pgfmanualse29.html#x30-29700029.3">29.3<!--tex4ht:ref: section-plot-handlers --></a> for an introduction to plot
- handlers. The additional handlers are described in the following. </dd></dl>
-<!--l. 327--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.3.1 </span> <a
- id="x15-16900014.3.1"></a>Curve Plot Handlers</h5>
-<!--l. 329--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox116"><span
-class="cmtt-10">\pgfplothandlercurveto</span></span> </dt><dd
-class="description">
-<a
- id="dx15-169001"></a>
- <!--l. 330--><p class="noindent">This handler will issue a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathcurveto</span></span></span> command for each point of the plot, <span
-class="cmti-10">except </span>possibly
- for the first. As for the line-to handler, what happens with the first point can be specified using
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetmovetofirstplotpoint</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetlinetofirstplotpoint</span></span></span>.
- <!--l. 335--><p class="noindent">Obviously, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathcurveto</span></span></span> command needs, in addition to the points on the path, some control points.
- These are generated automatically using a somewhat &#8220;dumb&#8221; algorithm: Suppose you have three points <span
-class="cmmi-10">x</span>, <span
-class="cmmi-10">y</span>,
- and <span
-class="cmmi-10">z </span>on the curve such that <span
-class="cmmi-10">y </span>is between <span
-class="cmmi-10">x </span>and <span
-class="cmmi-10">z</span>:
- <!--l. 340--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-330-" ><colgroup id="TBL-330-1g"><col
-id="TBL-330-1"><col
-id="TBL-330-2"></colgroup><tr
- valign="baseline" id="TBL-330-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-330-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-403.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-330-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlercurveto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 353--><p class="noindent">In order to determine the control points of the curve at the point <span
-class="cmmi-10">y</span>, the handler computes the vector <span
-class="cmmi-10">z </span><span
-class="cmsy-10">- </span><span
-class="cmmi-10">x</span>
- and scales it by the tension factor (see below). Let us call the resulting vector <span
-class="cmmi-10">s</span>. Then <span
-class="cmmi-10">y </span>+ <span
-class="cmmi-10">s</span>
- and <span
-class="cmmi-10">y </span><span
-class="cmsy-10">- </span><span
-class="cmmi-10">s </span>will be the control points around <span
-class="cmmi-10">y</span>. The first control point at the beginning of the
- curve will be the beginning itself, once more; likewise the last control point is the end itself.
- </dd></dl>
-<!--l. 362--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox117"><span
-class="cmtt-10">\pgfsetplottension</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx15-169002"></a>
- <!--l. 363--><p class="noindent">Sets the factor used by the curve plot handlers to determine the distance of the control points from
- the points they control. The higher the curvature of the curve points, the higher this value should be.
- A value of 1 will cause four points at quarter positions of a circle to be connected using a circle. The
- default is 0<span
-class="cmmi-10">.</span>5.
- <!--l. 370--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-331-" ><colgroup id="TBL-331-1g"><col
-id="TBL-331-1"><col
-id="TBL-331-2"></colgroup><tr
- valign="baseline" id="TBL-331-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-331-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-404.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-331-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetplottension{0.75}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlercurveto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 386--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox118"><span
-class="cmtt-10">\pgfplothandlerclosedcurve</span></span> </dt><dd
-class="description">
-<a
- id="dx15-169003"></a>
- <!--l. 387--><p class="noindent">This handler works like the curve-to plot handler, only it will add a new part to the current path that is a
- closed curve through the plot points.
- <!--l. 390--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-332-" ><colgroup id="TBL-332-1g"><col
-id="TBL-332-1"><col
-id="TBL-332-2"></colgroup><tr
- valign="baseline" id="TBL-332-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-332-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-405.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-332-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerclosedcurve</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 405--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.3.2 </span> <a
- id="x15-17000014.3.2"></a>Comb Plot Handlers</h5>
-<!--l. 407--><p class="noindent">There are three &#8220;comb&#8221; plot handlers. There name stems from the fact that the plots they produce look like
-&#8220;combs&#8221; (more or less).
-<!--l. 410--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox119"><span
-class="cmtt-10">\pgfplothandlerxcomb</span></span> </dt><dd
-class="description">
-<a
- id="dx15-170001"></a>
- <!--l. 411--><p class="noindent">This handler converts each point in the plot stream into a line from the <span
-class="cmmi-10">y</span>-axis to the point&#8217;s coordinate,
- resulting in a &#8220;horizontal comb.&#8221;
- <!--l. 416--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-333-" ><colgroup id="TBL-333-1g"><col
-id="TBL-333-1"><col
-id="TBL-333-2"></colgroup><tr
- valign="baseline" id="TBL-333-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-333-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-406.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-333-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerxcomb</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 431--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox120"><span
-class="cmtt-10">\pgfplothandlerycomb</span></span> </dt><dd
-class="description">
-<a
- id="dx15-170002"></a>
- <!--l. 432--><p class="noindent">This handler converts each point in the plot stream into a line from the <span
-class="cmmi-10">x</span>-axis to the point&#8217;s coordinate,
- resulting in a &#8220;vertical comb.&#8221;
- <!--l. 436--><p class="noindent">This handler is useful for creating &#8220;bar diagrams.&#8221;
- <!--l. 437--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-334-" ><colgroup id="TBL-334-1g"><col
-id="TBL-334-1"><col
-id="TBL-334-2"></colgroup><tr
- valign="baseline" id="TBL-334-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-334-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-407.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-334-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerycomb</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 451--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox121"><span
-class="cmtt-10">\pgfplothandlerpolarcomb</span></span> </dt><dd
-class="description">
-<a
- id="dx15-170003"></a>
- <!--l. 452--><p class="noindent">This handler converts each point in the plot stream into a line from the origin to the point&#8217;s coordinate.
-
-
- <!--l. 455--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-335-" ><colgroup id="TBL-335-1g"><col
-id="TBL-335-1"><col
-id="TBL-335-2"></colgroup><tr
- valign="baseline" id="TBL-335-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-335-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-408.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-335-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerpolarcomb</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 469--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.3.3 </span> <a
- id="x15-17100014.3.3"></a>Mark Plot Handler</h5>
-<!--l. 473--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox122"><span
-class="cmtt-10">\pgfplothandlermark</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mark code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx15-171001"></a>
- <!--l. 474--><p class="noindent">This command will execute the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mark code</span><span
-class="cmsy-10">&gt; </span>for each point of the plot, but each time the coordinate
- transformation matrix will be setup such that the origin is at the position of the point to be plotted.
- This way, if the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mark code</span><span
-class="cmsy-10">&gt; </span>draws a little circle around the origin, little circles will be drawn at each
- point of the plot.
- <!--l. 481--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-336-" ><colgroup id="TBL-336-1g"><col
-id="TBL-336-1"><col
-id="TBL-336-2"></colgroup><tr
- valign="baseline" id="TBL-336-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-336-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-409.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-336-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlermark{\pgfpathcircle{\pgfpointorigin}{4pt}\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 494--><p class="noindent">Typically, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will be <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseplotmark{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt; </span>is the name of a
- predefined plot mark. </dd></dl>
-<!--l. 499--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox123"><span
-class="cmtt-10">\pgfuseplotmark</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx15-171002"></a>
- <!--l. 500--><p class="noindent">Draws the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt; </span>at the origin. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt; </span>must previously have been
- declared using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclareplotmark</span></span></span>.
-
-
- <!--l. 504--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-337-" ><colgroup id="TBL-337-1g"><col
-id="TBL-337-1"><col
-id="TBL-337-2"></colgroup><tr
- valign="baseline" id="TBL-337-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-337-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-410.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-337-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlermark{\pgfuseplotmark{pentagon}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 518--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox124"><span
-class="cmtt-10">\pgfdeclareplotmark</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">plot mark name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx15-171003"></a>
- <!--l. 519--><p class="noindent">Declares a plot mark for later used with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseplotmark</span></span></span> command.
- <!--l. 522--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-338-" ><colgroup id="TBL-338-1g"><col
-id="TBL-338-1"><col
-id="TBL-338-2"></colgroup><tr
- valign="baseline" id="TBL-338-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-338-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-411.svg" width="92.24306 " height="57.73254 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-338-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareplotmark{my</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;mark}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpathcircle{\pgfpoint{0cm}{1ex}}{1ex}\pgfusepathqstroke}</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlermark{\pgfuseplotmark{my</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;mark}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 539--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox125"><span
-class="cmtt-10">\pgfsetplotmarksize</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx15-171004"></a>
- <!--l. 540--><p class="noindent">This command sets the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotmarksize</span></span></span> to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. This dimension is a
- &#8220;recommendation&#8221; for plot mark code at which size the plot mark should be drawn; plot mark code
- may choose to ignore this <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>altogether. For circles, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>should be the radius, for
- other shapes it should be about half the width/height.
- <!--l. 547--><p class="noindent">The predefined plot marks all take this dimension into account.
- <!--l. 549--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-339-" ><colgroup id="TBL-339-1g"><col
-id="TBL-339-1"><col
-id="TBL-339-2"></colgroup><tr
- valign="baseline" id="TBL-339-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-339-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-412.svg" width="92.24306 " height="54.86172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-339-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{x}</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{y}</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{z};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetplotmarksize{1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlermark{\pgfuseplotmark{*}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </dd></dl>
-<!--l. 564--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox126"><span
-class="cmtt-10">\pgfplotmarksize</span></span> </dt><dd
-class="description">
-<a
- id="dx15-171005"></a>
- <!--l. 565--><p class="noindent">A <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension that is a &#8220;recommendation&#8221; for the size of plot marks. </dd></dl>
-<!--l. 569--><p class="noindent">The following plot marks are predefined (the filling color has been set to yellow):
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-340-" ><colgroup id="TBL-340-1g"><col
-id="TBL-340-1"><col
-id="TBL-340-2"></colgroup><tr
- valign="baseline" id="TBL-340-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-1-1"
-class="td11"> <a
- id="dx15-171006"></a><a
- id="dx15-171007"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-340-1-2"
-class="td11"> <object data="pgfmanual-413.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-340-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-2-1"
-class="td11"> <a
- id="dx15-171008"></a><a
- id="dx15-171009"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">x</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-340-2-2"
-class="td11"> <object data="pgfmanual-414.svg" width="61.67648 " height="12.35847 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-340-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-3-1"
-class="td11"> <a
- id="dx15-171010"></a><a
- id="dx15-171011"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">+</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-340-3-2"
-class="td11"> <object data="pgfmanual-415.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-340-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-4-1"
-class="td11"> </td> </tr></table>
-</div>
-<!--l. 580--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.4 </span> <a
- id="x15-17200014.4"></a>Plot Mark Library</h4>
-<!--l. 582--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox127"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibraryplotmarks</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-172001"></a>
-<a
- id="dx15-172002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox128"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryplotmarks</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox129"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryplotmarks</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 583--><p class="noindent">When this package is loaded, the following plot marks are defined in addition to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">*</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span> (the filling
- color has been set to a dark yellow):
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-341-" ><colgroup id="TBL-341-1g"><col
-id="TBL-341-1"><col
-id="TBL-341-2"></colgroup><tr
- valign="baseline" id="TBL-341-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-1-1"
-class="td11"> <a
- id="dx15-172003"></a><a
- id="dx15-172004"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">-</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-1-2"
-class="td11"> <object data="pgfmanual-416.svg" width="63.23857 " height="9.12056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-2-1"
-class="td11"> <a
- id="dx15-172005"></a><a
- id="dx15-172006"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">|</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-2-2"
-class="td11"> <object data="pgfmanual-417.svg" width="58.43857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-3-1"
-class="td11"> <a
- id="dx15-172007"></a><a
- id="dx15-172008"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">o</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-3-2"
-class="td11"> <object data="pgfmanual-418.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-4-1"
-class="td11"> <a
- id="dx15-172009"></a><a
- id="dx15-172010"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">asterisk</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-4-2"
-class="td11"> <object data="pgfmanual-419.svg" width="62.52405 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-5-1"
-class="td11"> <a
- id="dx15-172011"></a><a
- id="dx15-172012"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">star</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-5-2"
-class="td11"> <object data="pgfmanual-420.svg" width="62.9775 " height="13.41129 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-6-1"
-class="td11"> <a
- id="dx15-172013"></a><a
- id="dx15-172014"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">oplus</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-6-2"
-class="td11"> <object data="pgfmanual-421.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-7-1"
-class="td11"> <a
- id="dx15-172015"></a><a
- id="dx15-172016"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">oplus*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-7-2"
-class="td11"> <object data="pgfmanual-422.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-8-1"
-class="td11"> <a
- id="dx15-172017"></a><a
- id="dx15-172018"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">otimes</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-8-2"
-class="td11"> <object data="pgfmanual-423.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-9-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-9-1"
-class="td11"> <a
- id="dx15-172019"></a><a
- id="dx15-172020"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">otimes*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-9-2"
-class="td11"> <object data="pgfmanual-424.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-10-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-10-1"
-class="td11"> <a
- id="dx15-172021"></a><a
- id="dx15-172022"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">square</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-10-2"
-class="td11"> <object data="pgfmanual-425.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-11-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-11-1"
-class="td11"> <a
- id="dx15-172023"></a><a
- id="dx15-172024"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">square*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-11-2"
-class="td11"> <object data="pgfmanual-426.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-12-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-12-1"
-class="td11"> <a
- id="dx15-172025"></a><a
- id="dx15-172026"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">triangle</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-12-2"
-class="td11"> <object data="pgfmanual-427.svg" width="62.52405 " height="12.58723 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-13-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-13-1"
-class="td11"> <a
- id="dx15-172027"></a><a
- id="dx15-172028"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">triangle*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-13-2"
-class="td11"> <object data="pgfmanual-428.svg" width="62.52405 " height="12.58723 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-14-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-14-1"
-class="td11"> <a
- id="dx15-172029"></a><a
- id="dx15-172030"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">diamond</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-14-2"
-class="td11"> <object data="pgfmanual-429.svg" width="61.90524 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-15-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-15-1"
-class="td11"> <a
- id="dx15-172031"></a><a
- id="dx15-172032"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">diamond*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-15-2"
-class="td11"> <object data="pgfmanual-430.svg" width="61.90524 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-16-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-16-1"
-class="td11"> <a
- id="dx15-172033"></a><a
- id="dx15-172034"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">pentagon</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-16-2"
-class="td11"> <object data="pgfmanual-431.svg" width="62.9775 " height="13.41129 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-17-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-17-1"
-class="td11"> <a
- id="dx15-172035"></a><a
- id="dx15-172036"></a> <span
-class="cmtt-10">\pgfuseplotmark{</span><span
-class="cmtt-10">pentagon*</span><span
-class="cmtt-10">} </span></td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-341-17-2"
-class="td11"> <object data="pgfmanual-432.svg" width="62.9775 " height="13.41129 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-341-18-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-18-1"
-class="td11"> </td>
-</tr></table></div> </dd></dl>
-
-
-<!--l. 616--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.5 </span> <a
- id="x15-17300014.5"></a>Shape Library</h4>
-<!--l. 618--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox130"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibraryshapes</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-173001"></a>
-<a
- id="dx15-173002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox131"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryshapes</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox132"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryshapes</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 619--><p class="noindent">This library packages defines additional shapes, which are described in the following. </dd></dl>
-<!--l. 623--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox133">Shape <span
-class="cmtt-10">cross out</span></span> </dt><dd
-class="description">
-<a
- id="dx15-173003"></a>
-<a
- id="dx15-173004"></a>
- <!--l. 624--><p class="noindent">This shape &#8220;crosses out&#8221; the node. Its foreground path are simply two diagonal lines that between the
- corners of the node&#8217;s bounding box. Here is an example:
- <!--l. 628--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-342-" ><colgroup id="TBL-342-1g"><col
-id="TBL-342-1"><col
-id="TBL-342-2"></colgroup><tr
- valign="baseline" id="TBL-342-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-342-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-433.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-342-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[cross</span><span
-class="cmtt-8">&nbsp;out,draw=red]</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(1.5,1)</span><span
-class="cmtt-8">&nbsp;{cross</span><span
-class="cmtt-8">&nbsp;out};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 635--><p class="noindent">A useful application is inside text as in the following example:
- <!--l. 636--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-343-" ><colgroup id="TBL-343-1g"><col
-id="TBL-343-1"><col
-id="TBL-343-2"></colgroup><tr
- valign="baseline" id="TBL-343-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-343-1-1"
-class="td11"> &nbsp;Cross <object data="pgfmanual-434.svg" width="27.99155 " height="16.69525 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> out! &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-343-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Cross</span><span
-class="cmtt-8">&nbsp;\tikz[baseline]</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[cross</span><span
-class="cmtt-8">&nbsp;out,draw,anchor=text]</span><span
-class="cmtt-8">&nbsp;{me};</span><span
-class="cmtt-8">&nbsp;out!</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 640--><p class="noindent">This shape inherits all anchors from the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape, see also the following figure:
- <!--l. 642--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-435.svg" width="509.12688 " height="189.39648 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-344-" ><colgroup id="TBL-344-1g"><col
-id="TBL-344-1"></colgroup><tr
- valign="baseline" id="TBL-344-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-344-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=cross</span><span
-class="cmtt-8">&nbsp;out,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{cross</span><span
-class="cmtt-8">&nbsp;out\vrule</span><span
-class="cmtt-8">&nbsp;width</span><span
-class="cmtt-8">&nbsp;1pt</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;2cm};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;center/above,</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;text/left,</span><span
-class="cmtt-8">&nbsp;10/right,</span><span
-class="cmtt-8">&nbsp;130/above}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-
-
-<!--l. 659--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox134">Shape <span
-class="cmtt-10">ellipse</span></span> </dt><dd
-class="description">
-<a
- id="dx15-173005"></a>
-<a
- id="dx15-173006"></a>
- <!--l. 660--><p class="noindent">This shape is an ellipse tightly fitting the text box, if no inner separation is given. The following figure shows
- the anchors this shape defines; the anchors <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">10</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">130</span></span></span> are example of border anchors.
- <!--l. 663--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-436.svg" width="584.62265 " height="245.66365 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-345-" ><colgroup id="TBL-345-1g"><col
-id="TBL-345-1"></colgroup><tr
- valign="baseline" id="TBL-345-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-345-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=ellipse,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{Ellipse\vrule</span><span
-class="cmtt-8">&nbsp;width</span><span
-class="cmtt-8">&nbsp;1pt</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;2cm};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;center/above,</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;text/left,</span><span
-class="cmtt-8">&nbsp;10/right,</span><span
-class="cmtt-8">&nbsp;130/above}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 680--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox135">Shape <span
-class="cmtt-10">forbidden sign</span></span> </dt><dd
-class="description">
-<a
- id="dx15-173007"></a>
-<a
- id="dx15-173008"></a>
- <!--l. 681--><p class="noindent">This shape places the node inside a circle with a diagonal from the lower left to the upper right added.
- The circle is part of the background, the diagonal line part of the foreground path; thus, the diagonal
- line is on top of the text.
- <!--l. 686--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-346-" ><colgroup id="TBL-346-1g"><col
-id="TBL-346-1"><col
-id="TBL-346-2"></colgroup><tr
- valign="baseline" id="TBL-346-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-346-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-437.svg" width="69.03473 " height="69.03473 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-346-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[forbidden</span><span
-class="cmtt-8">&nbsp;sign,line</span><span
-class="cmtt-8">&nbsp;width=1ex,draw=red,fill=white]</span><span
-class="cmtt-8">&nbsp;{Smoking};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 692--><p class="noindent">The shape inherits all anchors from the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span> shape, see also the following figure:
-
-
- <!--l. 694--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-438.svg" width="533.68391 " height="419.28453 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-347-" ><colgroup id="TBL-347-1g"><col
-id="TBL-347-1"></colgroup><tr
- valign="baseline" id="TBL-347-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-347-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=forbidden</span><span
-class="cmtt-8">&nbsp;sign,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{Forbidden\vrule</span><span
-class="cmtt-8">&nbsp;width</span><span
-class="cmtt-8">&nbsp;1pt</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;2cm};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;center/above,</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;text/left,</span><span
-class="cmtt-8">&nbsp;10/right,</span><span
-class="cmtt-8">&nbsp;130/above}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 712--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox136">Shape <span
-class="cmtt-10">strike out</span></span> </dt><dd
-class="description">
-<a
- id="dx15-173009"></a>
-<a
- id="dx15-173010"></a>
- <!--l. 713--><p class="noindent">This shape is idential to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cross</span><span
-class="cmtt-10">&nbsp;out</span></span></span> shape, only its foreground path consists of a single line from
- the lower left to the upper right.
- <!--l. 717--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-348-" ><colgroup id="TBL-348-1g"><col
-id="TBL-348-1"><col
-id="TBL-348-2"></colgroup><tr
- valign="baseline" id="TBL-348-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-348-1-1"
-class="td11"> &nbsp;Strike <object data="pgfmanual-439.svg" width="27.99155 " height="16.69525 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> out! &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-348-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Strike</span><span
-class="cmtt-8">&nbsp;\tikz[baseline]</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[strike</span><span
-class="cmtt-8">&nbsp;out,draw,anchor=text]</span><span
-class="cmtt-8">&nbsp;{me};</span><span
-class="cmtt-8">&nbsp;out!</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 721--><p class="noindent">See the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cross</span><span
-class="cmtt-10">&nbsp;out</span></span></span> shape for the anchors. </dd></dl>
-<!--l. 726--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.6 </span> <a
- id="x15-17400014.6"></a>Tree Library</h4>
-<!--l. 731--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox137"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibrarytikztrees</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-174001"></a>
-<a
- id="dx15-174002"></a>
-
-
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox138"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarytikztrees</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox139"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarytikztrees</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 732--><p class="noindent">This packages defines styles to be used when drawing trees. </dd></dl>
-<!--l. 735--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.6.1 </span> <a
- id="x15-17500014.6.1"></a>Growth Functions</h5>
-<!--l. 737--><p class="noindent">The package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibrarytikztrees</span></span></span> defines two new growth functions. They are installed using the following
-options:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">grow via three points</span><a
- id="dx15-175001"></a><a
- id="dx15-175002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=one</span><span
-class="cmtt-10">&nbsp;child</span><span
-class="cmtt-10">&nbsp;at</span><span
-class="cmtt-10">&nbsp;(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span><span
-class="cmtt-10">&nbsp;and</span><span
-class="cmtt-10">&nbsp;two</span><span
-class="cmtt-10">&nbsp;children</span><span
-class="cmtt-10">&nbsp;at</span><span
-class="cmtt-10">&nbsp;(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span><span
-class="cmtt-10">&nbsp;and</span><span
-class="cmtt-10">&nbsp;(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">z</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> This option
- installs a growth function that works as follows: If a parent node has just one child, this child is placed
- at <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span>. If the parent node has two children, these are placed at <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">z</span><span
-class="cmsy-10">&gt;</span>. If the parent node has
- more than two children, the children are placed at points that are linearly extrapolated from the three
- points <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span>, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span>, and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">z</span><span
-class="cmsy-10">&gt;</span>. In detail, the position is <span
-class="cmmi-10">x</span>+<img
-src="pgfmanual28x.gif" alt="n-1
- 2" class="frac" align="middle">(<span
-class="cmmi-10">y</span><span
-class="cmsy-10">-</span><span
-class="cmmi-10">x</span>)+(<span
-class="cmmi-10">c</span><span
-class="cmsy-10">-</span>1)(<span
-class="cmmi-10">z</span><span
-class="cmsy-10">-</span><span
-class="cmmi-10">y</span>), where <span
-class="cmmi-10">n </span>is the number
- of children and <span
-class="cmmi-10">c </span>is the number of the current child (starting with&nbsp;1).
- <!--l. 753--><p class="noindent">The net effect of all this is that if you have a certain &#8220;linear arrangement&#8221; in mind and use this option
- to specify the placement of a single child and of two children, then any number of children will be
- placed correctly.
- <!--l. 758--><p class="noindent">Here are some arrangements based on this growth function. We start with a simple &#8220;above&#8221;
- arrangement:
- <!--l. 760--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-349-" ><colgroup id="TBL-349-1g"><col
-id="TBL-349-1"><col
-id="TBL-349-2"></colgroup><tr
- valign="baseline" id="TBL-349-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-349-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-440.svg" width="115.3438 " height="218.99286 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-349-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[grow</span><span
-class="cmtt-8">&nbsp;via</span><span
-class="cmtt-8">&nbsp;three</span><span
-class="cmtt-8">&nbsp;points={</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;one</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;two</span><span
-class="cmtt-8">&nbsp;children</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(-.5,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(.5,1)}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{one}</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;{two}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-3)</span><span
-class="cmtt-8">&nbsp;{three}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-4.5)</span><span
-class="cmtt-8">&nbsp;{four}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 770--><p class="noindent">The next arrangement places children above, but &#8220;grows only to the right.&#8221;
-
-
- <!--l. 772--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-350-" ><colgroup id="TBL-350-1g"><col
-id="TBL-350-1"><col
-id="TBL-350-2"></colgroup><tr
- valign="baseline" id="TBL-350-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-350-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-441.svg" width="134.35445 " height="218.99286 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-350-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[grow</span><span
-class="cmtt-8">&nbsp;via</span><span
-class="cmtt-8">&nbsp;three</span><span
-class="cmtt-8">&nbsp;points={</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;one</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;two</span><span
-class="cmtt-8">&nbsp;children</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(1,1)}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{one}</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;{two}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-3)</span><span
-class="cmtt-8">&nbsp;{three}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-4.5)</span><span
-class="cmtt-8">&nbsp;{four}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 782--><p class="noindent">In the final arrangement, the children are placed along a line going down and right.
- <!--l. 784--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-351-" ><colgroup id="TBL-351-1g"><col
-id="TBL-351-1"><col
-id="TBL-351-2"></colgroup><tr
- valign="baseline" id="TBL-351-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-351-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-442.svg" width="115.34386 " height="226.71782 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-351-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[grow</span><span
-class="cmtt-8">&nbsp;via</span><span
-class="cmtt-8">&nbsp;three</span><span
-class="cmtt-8">&nbsp;points={</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;one</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;two</span><span
-class="cmtt-8">&nbsp;children</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(0,-.75)}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{one}</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;{two}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-3)</span><span
-class="cmtt-8">&nbsp;{three}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-4.5)</span><span
-class="cmtt-8">&nbsp;{four}</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;child;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 794--><p class="noindent">These examples should make it clear how you can create new styles to arrange your children along a
- line.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">grow cyclic</span><a
- id="dx15-175003"></a><a
- id="dx15-175004"></a> This style causes the children to be arranged &#8220;on a circle.&#8221; For this, the children are
- placed at distance <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzleveldistance</span></span></span> from the parent node, but not on a straight line, but points on a
- circle. Instead of a sibling distance, there is a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sibling</span><span
-class="cmtt-10">&nbsp;angle</span></span></span> that denotes the angle between two given
- children.
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">sibling angle</span><a
- id="dx15-175005"></a><a
- id="dx15-175006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">angle</span><span
-class="cmsy-10">&gt; </span>Sets the angle between siblings in the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grow</span><span
-class="cmtt-10">&nbsp;cyclic</span></span></span> style.</li></ul>
- <!--l. 807--><p class="noindent">Note that this function will rotate the coordinate system of the children to ensure that the grandchildren will
- grow in the right direction.
-
-
- <!--l. 810--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-352-" ><colgroup id="TBL-352-1g"><col
-id="TBL-352-1"><col
-id="TBL-352-2"></colgroup><tr
- valign="baseline" id="TBL-352-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-352-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-443.svg" width="98.18277 " height="54.631 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-352-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[grow</span><span
-class="cmtt-8">&nbsp;cyclic]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;1}=[level</span><span
-class="cmtt-8">&nbsp;distance=8mm,sibling</span><span
-class="cmtt-8">&nbsp;angle=60]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;2}=[level</span><span
-class="cmtt-8">&nbsp;distance=4mm,sibling</span><span
-class="cmtt-8">&nbsp;angle=45]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{level</span><span
-class="cmtt-8">&nbsp;3}=[level</span><span
-class="cmtt-8">&nbsp;distance=2mm,sibling</span><span
-class="cmtt-8">&nbsp;angle=30]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\coordinate</span><span
-class="cmtt-8">&nbsp;[rotate=-90]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;going</span><span
-class="cmsltt-10x-x-80">&nbsp;down</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,3}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,3}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{child</span><span
-class="cmtt-8">&nbsp;foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,3}}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 823--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">14.6.2 </span> <a
- id="x15-17600014.6.2"></a>Edges From Parent</h5>
-<!--l. 825--><p class="noindent">The following styles can be used to modify how the edges from parents are drawn:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">edge from parent fork down</span><a
- id="dx15-176001"></a><a
- id="dx15-176002"></a> This style will draw a line from the parent downwards (for half the
- level distance) and then on to the child using only horizontal and vertical lines.
- <!--l. 833--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-353-" ><colgroup id="TBL-353-1g"><col
-id="TBL-353-1"><col
-id="TBL-353-2"></colgroup><tr
- valign="baseline" id="TBL-353-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-353-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-444.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-353-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span><span
-class="cmtt-8">&nbsp;fork</span><span
-class="cmtt-8">&nbsp;down]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child[child</span><span
-class="cmtt-8">&nbsp;anchor=north</span><span
-class="cmtt-8">&nbsp;east]</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">edge from parent fork right</span><a
- id="dx15-176003"></a><a
- id="dx15-176004"></a> This style behaves similarly, only it will first draw its edge to the
- right.
- <!--l. 847--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-354-" ><colgroup id="TBL-354-1g"><col
-id="TBL-354-1"><col
-id="TBL-354-2"></colgroup><tr
- valign="baseline" id="TBL-354-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-354-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-445.svg" width="149.64285 " height="104.50505 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-354-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span><span
-class="cmtt-8">&nbsp;fork</span><span
-class="cmtt-8">&nbsp;right,grow=right]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">edge from parent fork left</span><a
- id="dx15-176005"></a><a
- id="dx15-176006"></a> behaves similary.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">edge from parent fork up</span><a
- id="dx15-176007"></a><a
- id="dx15-176008"></a> behaves similary.</li></ul>
-<!--l. 866--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.7 </span> <a
- id="x15-17700014.7"></a>Background Library</h4>
-<!--l. 870--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox140"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibrarytikzbackgrounds</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-177001"></a>
-<a
- id="dx15-177002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox141"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarytikzbackgrounds</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox142"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibrarytikzbackgrounds</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 871--><p class="noindent">This packages defines &#8220;backgrounds&#8221; for pictures. This does not refer to background pictures, but
- rather to frames drawn around and behind pictures. For example, this package allows you to just add
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">framed</span></span></span> option to a picture to get a rectangular box around your picture or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gridded</span></span></span> to put a grid
- behind your picture. </dd></dl>
-<!--l. 878--><p class="noindent">When this package is loaded, the following styles become available:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background rectangle</span><a
- id="dx15-177003"></a><a
- id="dx15-177004"></a> This style causes a rectangle to be drawn behind your
- graphic. This style option must be given to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment or to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span></span></span>
- command.
- <!--l. 884--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-355-" ><colgroup id="TBL-355-1g"><col
-id="TBL-355-1"><col
-id="TBL-355-2"></colgroup><tr
- valign="baseline" id="TBL-355-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-355-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-446.svg" width="89.42174 " height="51.48486 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-355-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;rectangle]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 889--><p class="noindent">The size of the background rectangle is determined as follows: We start with the bounding box of the picture.
- Then, a certain separator distance is added on the sides. This distance can be different for the <span
-class="cmmi-10">x</span>- and
- <span
-class="cmmi-10">y</span>-directions and can be set using the following options:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">inner frame xsep</span><a
- id="dx15-177005"></a><a
- id="dx15-177006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the additional horizontal separator distance for the
- background rectangle. The default is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1ex</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">inner frame ysep</span><a
- id="dx15-177007"></a><a
- id="dx15-177008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Same for the vertical separator distance.
- </li>
- <li class="itemize"><span
-class="cmtt-10">inner frame sep</span><a
- id="dx15-177009"></a><a
- id="dx15-177010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>sets the horizontal and vertical separator distances
- simultaneously.</li></ul>
- <!--l. 904--><p class="noindent">The following two styles make setting the inner separator a bit easier to remember:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">tight background</span><a
- id="dx15-177011"></a><a
- id="dx15-177012"></a> Sets the inner frame separator to 0pt. The background rectangle will
- have the size of the bounding box.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">loose background</span><a
- id="dx15-177013"></a><a
- id="dx15-177014"></a> Sets the inner frame separator to 2ex.</li></ul>
-
-
- <!--l. 913--><p class="noindent">You can influence how the background rectangle is rendered by setting the following style:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">background rectangle</span><a
- id="dx15-177015"></a><a
- id="dx15-177016"></a> This style dictates how the background rectangle is drawn or filled. By
- default this style is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span>, which causes the path of the background rectangle to be drawn in
- the usual way. Setting this style to, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill=blue!20</span></span></span> causes a light blue background to
- be added to the picture. You can also use more fancy settings as shown in the following
- example:
- <!--l. 923--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-356-" ><colgroup id="TBL-356-1g"><col
-id="TBL-356-1"><col
-id="TBL-356-2"></colgroup><tr
- valign="baseline" id="TBL-356-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-356-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-447.svg" width="93.95508 " height="56.01822 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-356-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[double,ultra</span><span
-class="cmtt-8">&nbsp;thick,draw=red,top</span><span
-class="cmtt-8">&nbsp;color=blue,rounded</span><span
-class="cmtt-8">&nbsp;corners]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;rectangle]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 930--><p class="noindent">Naturally, no one in their right mind would use the above, but here is a nice background:
- <!--l. 932--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-357-" ><colgroup id="TBL-357-1g"><col
-id="TBL-357-1"><col
-id="TBL-357-2"></colgroup><tr
- valign="baseline" id="TBL-357-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-357-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-448.svg" width="89.42174 " height="51.48486 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-357-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[draw=blue!50,fill=blue!20,rounded</span><span
-class="cmtt-8">&nbsp;corners=1ex]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;rectangle]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">framed</span><a
- id="dx15-177017"></a><a
- id="dx15-177018"></a> This is a shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">show</span><span
-class="cmtt-10">&nbsp;background</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background grid</span><a
- id="dx15-177019"></a><a
- id="dx15-177020"></a> This style behaves similarly to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">show</span><span
-class="cmtt-10">&nbsp;background</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> style, but it
- will not use a rectangle path, but a grid. The lower left and upper right corner of the grid is computed in the
- same way as for the background rectangle:
- <!--l. 947--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-358-" ><colgroup id="TBL-358-1g"><col
-id="TBL-358-1"><col
-id="TBL-358-2"></colgroup><tr
- valign="baseline" id="TBL-358-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-358-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-449.svg" width="89.15504 " height="51.21819 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-358-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;grid]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 952--><p class="noindent">You can influence the background grid by setting the following style:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">background grid</span><a
- id="dx15-177021"></a><a
- id="dx15-177022"></a> This style dictates how the background grid path is drawn. The default is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw,help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span>.
- <!--l. 958--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-359-" ><colgroup id="TBL-359-1g"><col
-id="TBL-359-1"><col
-id="TBL-359-2"></colgroup><tr
- valign="baseline" id="TBL-359-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-359-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-450.svg" width="89.95506 " height="52.01819 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-359-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;grid}=[thick,draw=red,step=.5cm]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;grid]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 964--><p class="noindent">This option can be combined with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">framed</span></span></span> option (use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">framed</span></span></span> option first):
-
-
- <!--l. 966--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-360-" ><colgroup id="TBL-360-1g"><col
-id="TBL-360-1"><col
-id="TBL-360-2"></colgroup><tr
- valign="baseline" id="TBL-360-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-360-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-451.svg" width="89.95506 " height="52.01819 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-360-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;grid}=[thick,draw=red,step=.5cm]</span>
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=[rounded</span><span
-class="cmtt-8">&nbsp;corners,fill=yellow]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[framed,gridded]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">gridded</span><a
- id="dx15-177023"></a><a
- id="dx15-177024"></a> This is a shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">show</span><span
-class="cmtt-10">&nbsp;background</span><span
-class="cmtt-10">&nbsp;grid</span></span></span>.</li></ul>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background top</span><a
- id="dx15-177025"></a><a
- id="dx15-177026"></a> This style causes a single line to be drawn at the top of the background
- rectangle. Normally, the line coincides exactly with the top line of the background rectangle:
- <!--l. 980--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-361-" ><colgroup id="TBL-361-1g"><col
-id="TBL-361-1"><col
-id="TBL-361-2"></colgroup><tr
- valign="baseline" id="TBL-361-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-361-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-452.svg" width="89.42174 " height="51.2182 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-361-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=[fill=yellow]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[framed,show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;top]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 986--><p class="noindent">The following option allows you to lengthen (or shorten) the line:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">outer frame xsep</span><a
- id="dx15-177027"></a><a
- id="dx15-177028"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>is added at the left and right side of the
- line.
- <!--l. 991--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-362-" ><colgroup id="TBL-362-1g"><col
-id="TBL-362-1"><col
-id="TBL-362-2"></colgroup><tr
- valign="baseline" id="TBL-362-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-362-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-453.svg" width="100.90314 " height="51.2182 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-362-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=[fill=yellow]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[framed,show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;top,outer</span><span
-class="cmtt-8">&nbsp;frame</span><span
-class="cmtt-8">&nbsp;xsep=1ex]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer frame ysep</span><a
- id="dx15-177029"></a><a
- id="dx15-177030"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option does not apply to the top line, but to the left and right
- lines, see below.
- </li>
- <li class="itemize"><span
-class="cmtt-10">outer frame sep</span><a
- id="dx15-177031"></a><a
- id="dx15-177032"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets both the <span
-class="cmmi-10">x</span>- and <span
-class="cmmi-10">y</span>-separation.
- <!--l. 1003--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-363-" ><colgroup id="TBL-363-1g"><col
-id="TBL-363-1"><col
-id="TBL-363-2"></colgroup><tr
- valign="baseline" id="TBL-363-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-363-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-454.svg" width="100.90314 " height="62.96626 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-363-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=[fill=blue!20]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[outer</span><span
-class="cmtt-8">&nbsp;frame</span><span
-class="cmtt-8">&nbsp;sep=1ex,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;top,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;bottom,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;right]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- <!--l. 1015--><p class="noindent">You can influence how the line is drawn grid by setting the following style:
- <ul class="itemize2">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">background top</span><a
- id="dx15-177033"></a><a
- id="dx15-177034"></a> Default is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span>.
-
-
- <!--l. 1020--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-364-" ><colgroup id="TBL-364-1g"><col
-id="TBL-364-1"><col
-id="TBL-364-2"></colgroup><tr
- valign="baseline" id="TBL-364-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-364-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-455.svg" width="94.6291 " height="53.8219 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-364-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;rectangle}=[fill=blue!20]</span>
-<br><span
-class="cmtt-8">\tikzstyle{background</span><span
-class="cmtt-8">&nbsp;top}=[draw=blue!50,line</span><span
-class="cmtt-8">&nbsp;width=1ex]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[framed,show</span><span
-class="cmtt-8">&nbsp;background</span><span
-class="cmtt-8">&nbsp;top]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(10mm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;5mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background bottom</span><a
- id="dx15-177035"></a><a
- id="dx15-177036"></a> works like the style for the top line.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background left</span><a
- id="dx15-177037"></a><a
- id="dx15-177038"></a> works like the style for the top line.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">show background right</span><a
- id="dx15-177039"></a><a
- id="dx15-177040"></a> works like the style for the top line.</li></ul>
-<!--l. 1037--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">14.8 </span> <a
- id="x15-17800014.8"></a>Automata Drawing Library</h4>
-<!--l. 1039--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox143"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgflibraryautomata</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx15-178001"></a>
-<a
- id="dx15-178002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox144"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryautomata</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox145"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgflibraryautomata</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 1040--><p class="noindent">This packages, which is still under construction, provides shapes and styles for drawing automata. </dd></dl>
-<!--l. 1045--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox146">Shape <span
-class="cmtt-10">state</span></span> </dt><dd
-class="description">
-<a
- id="dx15-178003"></a>
-<a
- id="dx15-178004"></a>
- <!--l. 1046--><p class="noindent">This shape is currently just an alias for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span> shape. However, it is useful to have another shape
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">state</span></span></span> since one can then say, for example, the the style <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">every</span><span
-class="cmtt-10">&nbsp;state</span><span
-class="cmtt-10">&nbsp;shape</span></span></span> should be set to some
- special value. </dd></dl>
-<!--l. 1052--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox147">Shape <span
-class="cmtt-10">state with output</span></span> </dt><dd
-class="description">
-<a
- id="dx15-178005"></a>
-<a
- id="dx15-178006"></a>
- <!--l. 1053--><p class="noindent">This shape is a multi-part shape. The main part (the text part) is the name of the state as in the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">state</span></span></span> shape. The second part is called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span>. This node part is drawn in the lower part of the node,
- separated from the upper part by a line.
-
-
- <!--l. 1058--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-365-" ><colgroup id="TBL-365-1g"><col
-id="TBL-365-1"><col
-id="TBL-365-2"></colgroup><tr
- valign="baseline" id="TBL-365-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-365-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-456.svg" width="44.43355 " height="44.43355 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-365-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;[state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output,draw,double,fill=red!20]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;$q_1$</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\nodepart{output}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;$00$</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 1069--><p class="noindent">The shape inherits all anchors from the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span> shape and defines the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span> anchor in addition. See also the
- following figure:
- <!--l. 1072--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-457.svg" width="553.4436 " height="439.04422 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-366-" ><colgroup id="TBL-366-1g"><col
-id="TBL-366-1"></colgroup><tr
- valign="baseline" id="TBL-366-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-366-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{state</span><span
-class="cmtt-8">&nbsp;name\nodepart{output}output};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;center/below,</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;text/left,</span><span
-class="cmtt-8">&nbsp;output/left,</span><span
-class="cmtt-8">&nbsp;130/above}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse15.html" >next</a>] [<a
-href="pgfmanualse14.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse14.html" >up</a>] </p></div>
-<!--l. 7--><p class="indent"> <a
- id="tailpgfmanualse14.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>15 Repeating Things: The Foreach Statement</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
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- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse16.html" >next</a>] [<a
-href="pgfmanualse14.html" >prev</a>] [<a
-href="pgfmanualse14.html#tailpgfmanualse14.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse15.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse15.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">15 </span> <a
- id="x16-17900015"></a>Repeating Things: The Foreach Statement</h3>
-<!--l. 10--><p class="noindent">In this section the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgffor.sty</span></span></span> is described. It can be used independently of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, but it works particularly
-well together with <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z.
-<!--l. 14--><p class="indent"> When you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{pgffor}</span></span></span>, two commands are defined: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\breakforeach</span></span></span>. Their
-behaviour is described in the following:
-<!--l. 19--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox148"><span
-class="cmtt-10">\foreach</span><span class="obeylines-h"><span class="verb"> </span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"> <span
-class="cmtt-10">in </span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
-<a
- id="dx16-179001"></a>
- <!--l. 20--><p class="noindent">The syntax of this command is a bit complicated, so let us go through it step-by-step.
- <!--l. 23--><p class="noindent">In the easiest case, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt; </span>is a single <span class="TEX">T<span
-class="E">E</span>X</span>-command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\x</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\point</span></span></span>. (If you want to have some
- fun, you can also use active characters. If you do not know what active characters are, you are blessed.)
- <!--l. 28--><p class="noindent">Still in the easiest case, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt; </span>is a comma-separated list of values. Anything can be used as a value,
- but numbers are most likely.
- <!--l. 32--><p class="noindent">Finally, in the easiest case, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>is some <span class="TEX">T<span
-class="E">E</span>X</span>-text in curly braces.
- <!--l. 35--><p class="noindent">With all these assumptions, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement will execute the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>repeatedly, once for
- every element of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt;</span>. Each time the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>are executed, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variable</span><span
-class="cmsy-10">&gt; </span>will be set to the
- current value of the list item.
- <!--l. 40--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-367-" ><colgroup id="TBL-367-1g"><col
-id="TBL-367-1"><col
-id="TBL-367-2"></colgroup><tr
- valign="baseline" id="TBL-367-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-367-1-1"
-class="td11"> &nbsp;[1][2][3][0]&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-367-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,3,0}</span><span
-class="cmtt-8">&nbsp;{[\x]}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 45--><p class="noindent"><span
-class="cmbx-10">Syntax for the commands. </span>Let use move on to a more complicated setting. The first complication occurs
- when the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>are not some text in curly braces. If the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement does not encounter an
- opening brace, it will instead scan everything up to the next semicolon and use this as <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span>. This is
- most useful in situations like the following:
- <!--l. 53--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-368-" ><colgroup id="TBL-368-1g"><col
-id="TBL-368-1"><col
-id="TBL-368-2"></colgroup><tr
- valign="baseline" id="TBL-368-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-368-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-458.svg" width="130.51836 " height="16.70782 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-368-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1,2,3}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.2cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 59--><p class="noindent">However, the &#8220;reading till the next semicolon&#8221; is not the whole truth. There is another rule: If a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span>
- statement is directly followed by another <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement, this second foreach statement is collected as
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span>. This allows you to write the following:
- <!--l. 65--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-369-" ><colgroup id="TBL-369-1g"><col
-id="TBL-369-1"><col
-id="TBL-369-2"></colgroup><tr
- valign="baseline" id="TBL-369-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-369-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-459.svg" width="130.51836 " height="130.51836 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-369-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1,2,3}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,1,2,3}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.2cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 77--><p class="noindent"><span
-class="cmbx-10">The dots notation. </span>The second complication concerns the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt;</span>. If this <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt; </span>contains the
- list item &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span>&#8221;, this list item is replaced by the &#8220;missing values.&#8221; More precisely, the following
- happens:
- <!--l. 82--><p class="noindent">Normally, when a list item <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span> is encountered, there should already have been <span
-class="cmti-10">two </span>list items before it, which
- where numbers. Examples of <span
-class="cmti-10">numbers </span>are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-10</span></span></span>, or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-0.24</span></span></span>. Let us call these numbers <span
-class="cmmi-10">x </span>and <span
-class="cmmi-10">y </span>and let
- <span
-class="cmmi-10">d </span>:= <span
-class="cmmi-10">y </span><span
-class="cmsy-10">-</span><span
-class="cmmi-10">x </span>be their difference. Next, there should also be one number following the three dots, let us call this
- number&nbsp;<span
-class="cmmi-10">z</span>.
- <!--l. 89--><p class="noindent">In this situation, the part of the list reading &#8220;<span
-class="cmmi-10">x</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">,</span></span></span><span
-class="cmmi-10">y</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">,...,</span></span></span><span
-class="cmmi-10">z</span>&#8221; is replaced by &#8220;<span
-class="cmmi-10">x</span>, <span
-class="cmmi-10">x </span>+ <span
-class="cmmi-10">d</span>, <span
-class="cmmi-10">x </span>+ 2<span
-class="cmmi-10">d</span>, <span
-class="cmmi-10">x </span>+ 3<span
-class="cmmi-10">d</span>, ...,
- <span
-class="cmmi-10">x </span>+ <span
-class="cmmi-10">md</span>,&#8221; where the last dots are semantic dots, not syntactic dots. The value <span
-class="cmmi-10">m </span>is the largest number such
- that <span
-class="cmmi-10">x </span>+ <span
-class="cmmi-10">md </span><span
-class="cmsy-10"><u
-class="underline">&lt;</u> </span><span
-class="cmmi-10">z </span>if <span
-class="cmmi-10">d </span>is positive or such that <span
-class="cmmi-10">x </span>+ <span
-class="cmmi-10">md </span><span
-class="cmsy-10"><u
-class="underline">&gt;</u> </span><span
-class="cmmi-10">z </span>if <span
-class="cmmi-10">d </span>is negative.
- <!--l. 96--><p class="noindent">Perhaps it is best to explain this by some examples: The following <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt; </span>have the same effects:
- <!--l. 99--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1,2,...,6}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 1, 2, 3, 4, 5, 6,
- <!--l. 101--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1,2,3,...,6}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 1, 2, 3, 4, 5, 6,
- <!--l. 103--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1,3,...,11}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 1, 3, 5, 7, 9, 11,
- <!--l. 105--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1,3,...,10}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 1, 3, 5, 7, 9,
- <!--l. 107--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{0,0.1,...,0.5}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 0, 0.1, 0.20001, 0.30002, 0.40002,
- <!--l. 109--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{a,b,9,8,...,1,2,2.125,...,2.5}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields a, b, 9, 8, 7, 6, 5, 4, 3, 2, 1, 2, 2.125,
- 2.25, 2.375, 2.5,
- <!--l. 111--><p class="noindent">As can be seen, for fractional steps that are not multiples of 2<sup ><span
-class="cmsy-7">-</span><span
-class="cmmi-7">n</span></sup> for some small <span
-class="cmmi-10">n</span>, rounding errors can
- occur pretty easily. Thus, in the second last case, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> should probably be replaced by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.501</span></span></span> for
- robustness.
- <!--l. 116--><p class="noindent">There is yet another special case for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span> statement: If the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span> is used right after the first item in the list,
- that is, if there is an <span
-class="cmmi-10">x</span>, but no <span
-class="cmmi-10">y</span>, the difference <span
-class="cmmi-10">d </span>obviously cannot be computed and is set to 1 if the number <span
-class="cmmi-10">z</span>
- following the dots is larger than <span
-class="cmmi-10">x </span>and is set to <span
-class="cmsy-10">-</span>1 if <span
-class="cmmi-10">z </span>is smaller:
- <!--l. 122--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1,...,6}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 1, 2, 3, 4, 5, 6,
- <!--l. 124--><p class="noindent"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{9,...,3.5}</span><span
-class="cmtt-10">&nbsp;{\x,</span><span
-class="cmtt-10">&nbsp;}</span></span></span> yields 9, 8, 7, 6, 5, 4,
- <!--l. 127--><p class="noindent"><span
-class="cmbx-10">Special handling of pairs. </span>Different list items are separated by commas. However, this causes a problem
- when the list items contain commas themselves as pairs like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,1)</span></span></span> do. In this case, you should put the items
- containing commas in braces as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{(0,1)}</span></span></span>. However, since pairs are such a natural and useful
- case, they get a special treatment by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement. When a list item starts with
- a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span> everything up to the next <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> is made part of the item. Thus, we can write things like the
- following:
- <!--l. 137--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-370-" ><colgroup id="TBL-370-1g"><col
-id="TBL-370-1"><col
-id="TBL-370-2"></colgroup><tr
- valign="baseline" id="TBL-370-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-370-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-460.svg" width="124.82805 " height="58.43857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-370-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\position</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{(0,0),</span><span
-class="cmtt-8">&nbsp;(1,1),</span><span
-class="cmtt-8">&nbsp;(2,0),</span><span
-class="cmtt-8">&nbsp;(3,1)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;\position</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(.25,.5);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 144--><p class="noindent"><span
-class="cmbx-10">Using the foreach-statement inside paths. </span>Ti<span
-class="cmti-10">k</span>Z&nbsp;allows you to use a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement inside a path
- construction. In such a case, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>must be path construction commands. Here are two
- examples:
- <!--l. 149--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-371-" ><colgroup id="TBL-371-1g"><col
-id="TBL-371-1"><col
-id="TBL-371-2"></colgroup><tr
- valign="baseline" id="TBL-371-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-371-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-461.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-371-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,3}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x,0)</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;;</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 157--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-372-" ><colgroup id="TBL-372-1g"><col
-id="TBL-372-1"><col
-id="TBL-372-2"></colgroup><tr
- valign="baseline" id="TBL-372-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-372-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-462.svg" width="77.40701 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-372-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\p</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,3}</span><span
-class="cmtt-8">&nbsp;{(\p,1)--(\p,3)</span><span
-class="cmtt-8">&nbsp;(1,\p)--(3,\p)};</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 162--><p class="noindent"><span
-class="cmbx-10">Multiple variables. </span>You will often wish to iterate over two variables at the same time. Since you can nest
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> loops, this is normally straight-forward. However, you sometimes wish variables to iterate
- &#8220;simultaneously.&#8221; For example, we might be given a list of edges that connect two coordinates and might wish
- to iterate over these edges. While doing so, we would like the source and target of the edges to be set to two
- different variables.
- <!--l. 171--><p class="noindent">To achieve this, you can use the following syntax: The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt; </span>may not only be a single <span class="TEX">T<span
-class="E">E</span>X</span>-variable.
- Instead, it can also be a list of variables separated by slashes (<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/</span></span></span>). In this case the list items can also be lists of
- values separated by slashes.
- <!--l. 177--><p class="noindent">Assuming that the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt; </span>and the list items are lists of values, each time the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>are executed,
- each of the variables in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variables</span><span
-class="cmsy-10">&gt; </span>is set to one part of the list making up the current list item. Here is an
- example to clarify this:
- <!--l. 182--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span><span
-class="cmtt-10">&nbsp;\x</span><span
-class="cmtt-10">&nbsp;/</span><span
-class="cmtt-10">&nbsp;\y</span><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{1/2,a/b}</span><span
-class="cmtt-10">&nbsp;{``\x\</span><span
-class="cmtt-10">&nbsp;and</span><span
-class="cmtt-10">&nbsp;\y''}</span></span></span> yields &#8220;1&nbsp;and 2&#8221;&#8220;a&nbsp;and b&#8221;.
- <!--l. 185--><p class="noindent">If some entry in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt; </span>does not have &#8220;enough&#8221; slashes, the last entry will be repeated. Here is an
- example:
- <!--l. 187--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-373-" ><colgroup id="TBL-373-1g"><col
-id="TBL-373-1"><col
-id="TBL-373-2"></colgroup><tr
- valign="baseline" id="TBL-373-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-373-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-463.svg" width="130.36508 " height="18.48044 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-373-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x/\xtext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,...,3,2.72</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;e}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x,0)</span><span
-class="cmtt-8">&nbsp;node{$\xtext$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 194--><p class="noindent">Here are more useful examples:
- <!--l. 195--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-374-" ><colgroup id="TBL-374-1g"><col
-id="TBL-374-1"><col
-id="TBL-374-2"></colgroup><tr
- valign="baseline" id="TBL-374-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-374-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-464.svg" width="134.31227 " height="90.73097 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-374-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Define</span><span
-class="cmsltt-10x-x-80">&nbsp;some</span><span
-class="cmsltt-10x-x-80">&nbsp;coordinates:</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[draw,fill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path[shape=circle,fill=examplefill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node(a)</span><span
-class="cmtt-8">&nbsp;{a}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0.55)</span><span
-class="cmtt-8">&nbsp;node(b)</span><span
-class="cmtt-8">&nbsp;{b}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1.5)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node(c)</span><span
-class="cmtt-8">&nbsp;{c}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,1.75)</span><span
-class="cmtt-8">&nbsp;node(d)</span><span
-class="cmtt-8">&nbsp;{d};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Draw</span><span
-class="cmsltt-10x-x-80">&nbsp;some</span><span
-class="cmsltt-10x-x-80">&nbsp;connections:</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\source/\target</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{a/b,</span><span
-class="cmtt-8">&nbsp;b/c,</span><span
-class="cmtt-8">&nbsp;c/a,</span><span
-class="cmtt-8">&nbsp;c/d}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\source)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(.75cm,0pt)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-.75cm,0pt)..(\target);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 211--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-375-" ><colgroup id="TBL-375-1g"><col
-id="TBL-375-1"><col
-id="TBL-375-2"></colgroup><tr
- valign="baseline" id="TBL-375-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-375-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-465.svg" width="88.78802 " height="153.2807 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-375-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Let's</span><span
-class="cmsltt-10x-x-80">&nbsp;draw</span><span
-class="cmsltt-10x-x-80">&nbsp;circles</span><span
-class="cmsltt-10x-x-80">&nbsp;at</span><span
-class="cmsltt-10x-x-80">&nbsp;interesting</span><span
-class="cmsltt-10x-x-80">&nbsp;points:</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;\diameter</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;0</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;2mm,</span><span
-class="cmtt-8">&nbsp;1</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;1</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;3mm,</span><span
-class="cmtt-8">&nbsp;2</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;0</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;1mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(\diameter);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Same</span><span
-class="cmsltt-10x-x-80">&nbsp;effect</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\center/\diameter</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{{(0,0)/2mm},</span><span
-class="cmtt-8">&nbsp;{(1,1)/3mm},</span><span
-class="cmtt-8">&nbsp;{(2,0)/1mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[yshift=2.5cm]</span><span
-class="cmtt-8">&nbsp;\center</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(\diameter);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 223--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-376-" ><colgroup id="TBL-376-1g"><col
-id="TBL-376-1"><col
-id="TBL-376-2"></colgroup><tr
- valign="baseline" id="TBL-376-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-376-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-466.svg" width="156.7474 " height="156.7474 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-376-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[cap=round,line</span><span
-class="cmtt-8">&nbsp;width=3pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw</span><span
-class="cmtt-8">&nbsp;[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\angle</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;\label</span><span
-class="cmtt-8">&nbsp;in</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{0/3,</span><span
-class="cmtt-8">&nbsp;30/2,</span><span
-class="cmtt-8">&nbsp;60/1,</span><span
-class="cmtt-8">&nbsp;90/12,</span><span
-class="cmtt-8">&nbsp;120/11,</span><span
-class="cmtt-8">&nbsp;150/10,</span><span
-class="cmtt-8">&nbsp;180/9,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;210/8,</span><span
-class="cmtt-8">&nbsp;240/7,</span><span
-class="cmtt-8">&nbsp;270/6,</span><span
-class="cmtt-8">&nbsp;300/5,</span><span
-class="cmtt-8">&nbsp;330/4}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=1pt]</span><span
-class="cmtt-8">&nbsp;(\angle:1.8cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\angle:2cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\angle:1.4cm)</span><span
-class="cmtt-8">&nbsp;node{\textsf{\label}};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\angle</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,90,180,270}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=2pt]</span><span
-class="cmtt-8">&nbsp;(\angle:1.6cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\angle:2cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(120:0.8cm);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;hour</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(90:1cm);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;minute</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span><span
-class="cmsltt-10x-x-80">%</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 243--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-377-" ><colgroup id="TBL-377-1g"><col
-id="TBL-377-1"><col
-id="TBL-377-2"></colgroup><tr
- valign="baseline" id="TBL-377-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-377-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-467.svg" width="145.15953 " height="145.15953 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-377-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz[shading=ball]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;\cola</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0/red,1/green,2/blue,3/yellow}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;/</span><span
-class="cmtt-8">&nbsp;\colb</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0/red,1/green,2/blue,3/yellow}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[ball</span><span
-class="cmtt-8">&nbsp;color=\cola!50!\colb]</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.4cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 252--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox149"><span
-class="cmtt-10">\breakforeach</span></span> </dt><dd
-class="description">
-<a
- id="dx16-179002"></a>
- <!--l. 253--><p class="noindent">If this command is given inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> command, no further executions of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>will
- occur. However, the current execution of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>is continued normally, so it is probably best
- to use this command only at the end of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> command.
- <!--l. 259--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-378-" ><colgroup id="TBL-378-1g"><col
-id="TBL-378-1"><col
-id="TBL-378-2"></colgroup><tr
- valign="baseline" id="TBL-378-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-378-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-468.svg" width="122.8105 " height="130.81047 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-378-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,4}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,4}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red!50]</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(3pt</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;6pt);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\ifnum</span><span
-class="cmtt-8">&nbsp;\x&lt;\y</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\breakforeach</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fi</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse16.html" >next</a>] [<a
-href="pgfmanualse14.html" >prev</a>] [<a
-href="pgfmanualse14.html#tailpgfmanualse14.html" >prev-tail</a>] [<a
-href="pgfmanualse15.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse15.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse15.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse16.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse16.html
deleted file mode 100644
index ea5fe0693d2..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse16.html
+++ /dev/null
@@ -1,1631 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>16 Page Management</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse17.html" >next</a>] [<a
-href="pgfmanualse15.html" >prev</a>] [<a
-href="pgfmanualse15.html#tailpgfmanualse15.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse16.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse16.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">16 </span> <a
- id="x17-18000016"></a>Page Management</h3>
-<!--l. 10--><p class="noindent">This section describes the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> packages. Although this package is not concerned with creating pictures, its
-implementation relies so heavily on <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;that it is documented here. Currently, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> only works
-with <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>, but if you are adventurous, feel free to hack the code so that it also works with plain
-<span class="TEX">T<span
-class="E">E</span>X</span>.
-<!--l. 16--><p class="indent"> The aim of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> is to provide a flexible way of putting multiple pages on a single page <span
-class="cmti-10">inside </span><span class="TEX"><span
-class="cmti-10">T</span><span
-class="E"><span
-class="cmti-10">E</span></span><span
-class="cmti-10">X</span></span>. Thus,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> is quite different from useful tools like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">psnup</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdfnup</span></span></span> insofar as it creates its output in a single pass.
-Furthermore, it works uniformly with both <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span>, making it easy to put multiple pages on a single
-page without any fuss.
-<!--l. 23--><p class="indent"> A word of warning: <span
-class="cmti-10">using </span><span class="obeylines-h"><span class="verb"><span
-class="cmitt-10">pgfpages</span></span></span> <span
-class="cmti-10">will destroy hyperlinks</span>. Actually, the hyperlinks are not destroyed, only they
-will appear at totally wrong positions on the final output. This is due to a fundamental flaw in the
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;specification: In <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;the bounding rectangle of a hyperlink is given in &#8220;absolute page coordinates&#8221; and
-translations or rotations do not affect them. Thus, the transformations applied by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> to put the pages where
-you want them are (cannot, even) be applied to the coordinates of hyperlinks. It is unlikely that this will change in
-the foreseeable future.
-<!--l. 35--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">16.1 </span> <a
- id="x17-18100016.1"></a>Basic Usage</h4>
-<!--l. 37--><p class="noindent">The internals of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> are complex since the package can do all sorts of interesting tricks. For this reason,
-so-called <span
-class="cmti-10">layouts </span>are predefined that setup all option in appropriate ways.
-<!--l. 41--><p class="indent"> You use a layout as follows:
-<!--l. 42--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-379-" ><colgroup id="TBL-379-1g"><col
-id="TBL-379-1"></colgroup><tr
- valign="baseline" id="TBL-379-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-379-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{article}</span>
-<br>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{2</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;1}[a4paper,landscape,border</span><span
-class="cmtt-8">&nbsp;shrink=5mm]</span>
-<br>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;left.</span>
-<br><span
-class="cmtt-8">\clearpage</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;right.</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 55--><p class="indent"> The layout <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span> puts two pages on a single page. The option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a4paper</span></span></span> tells <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> that the <span
-class="cmti-10">resulting </span>page
-(called the <span
-class="cmti-10">physical </span>page in the following) should be <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a4paper</span></span></span> and it should be landscape (which is quite logical since
-putting two portrait pages next to each other gives a landscape page). Normally, the <span
-class="cmti-10">logical </span>pages, that is, the pages
-that <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;&#8220;thinks&#8221; that it is typesetting, will have the same sizes, but this need not be the case. <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> will
-automatically scale down the logical pages such that two logical pages fit next to each other inside a DIN A4
-page.
-<!--l. 65--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span><span
-class="cmtt-10">&nbsp;shrink</span></span></span> tells <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> that it should add an additional 5mm to the shrinking such that a
-5mm-wide border is shown around the resulting logical pages.
-<!--l. 69--><p class="indent"> As a second example, let us put two pages produced by the <span
-class="cmcsc-10"><small
-class="small-caps">B</small><small
-class="small-caps">E</small><small
-class="small-caps">A</small><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">R</small> </span>class on a single page:
-<!--l. 72--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-380-" ><colgroup id="TBL-380-1g"><col
-id="TBL-380-1"></colgroup><tr
- valign="baseline" id="TBL-380-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-380-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{beamer}</span>
-<br>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{2</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;1}[a4paper,border</span><span
-class="cmtt-8">&nbsp;shrink=5mm]</span>
-<br>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">\begin{frame}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;top.</span>
-<br><span
-class="cmtt-8">\end{frame}</span>
-<br><span
-class="cmtt-8">\begin{frame}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;bottom.</span>
-<br><span
-class="cmtt-8">\end{frame}</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table>
-
-
-</div>
-<!--l. 88--><p class="indent"> Note that we do not use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">landscape</span></span></span> option since <span
-class="cmcsc-10"><small
-class="small-caps">B</small><small
-class="small-caps">E</small><small
-class="small-caps">A</small><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">R</small></span>&#8217;s logical pages are already in landscape mode and
-putting two landscape pages on top of each other results in a portrait page. However, if you had used the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">4</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span>
-layout, you would have had to add <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">landscape</span></span></span> once more, using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">8</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span> you must not, using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">16</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span> you need
-it yet again. And, no, there is no <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">32</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span> layout.
-<!--l. 95--><p class="indent"> Another word of caution: <span
-class="cmti-10">using </span><span class="obeylines-h"><span class="verb"><span
-class="cmitt-10">pgfpages</span></span></span> <span
-class="cmti-10">will produce wrong page numbers in the </span><span class="obeylines-h"><span class="verb"><span
-class="cmitt-10">.aux</span></span></span> <span
-class="cmti-10">file</span>. The reason is that
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;instantiates the page numbers when writing an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.aux</span></span></span> file only when the physical page is shipped out.
-Fortunately, this problem is easy to fix: First, typeset our file normally without using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesuselayout</span></span></span>
-command (just put the comment marker <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">%</span></span></span> before it) Then, rerun <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesuselayout</span></span></span> command
-included and add the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\nofiles</span></span></span>. This command ensures that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.aux</span></span></span> file is not modified, which is
-exactly what you want. So, to typeset the above example, you should actually first <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;the following
-file:
-<!--l. 106--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-381-" ><colgroup id="TBL-381-1g"><col
-id="TBL-381-1"></colgroup><tr
- valign="baseline" id="TBL-381-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-381-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{article}</span>
-<br>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmsltt-10x-x-80">%%\pgfpagesuselayout{2</span><span
-class="cmsltt-10x-x-80">&nbsp;on</span><span
-class="cmsltt-10x-x-80">&nbsp;1}[a4paper,landscape,border</span><span
-class="cmsltt-10x-x-80">&nbsp;shrink=5mm]</span>
-<br><span
-class="cmsltt-10x-x-80">%%\nofiles</span>
-<br>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;left.</span>
-<br><span
-class="cmtt-8">\clearpage</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;right.</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 119--><p class="indent"> and then typeset
-<!--l. 120--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-382-" ><colgroup id="TBL-382-1g"><col
-id="TBL-382-1"></colgroup><tr
- valign="baseline" id="TBL-382-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-382-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{article}</span>
-<br>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{2</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;1}[a4paper,landscape,border</span><span
-class="cmtt-8">&nbsp;shrink=5mm]</span>
-<br><span
-class="cmtt-8">\nofiles</span>
-<br>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;left.</span>
-<br><span
-class="cmtt-8">\clearpage</span>
-<br><span
-class="cmtt-8">This</span><span
-class="cmtt-8">&nbsp;text</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;shown</span><span
-class="cmtt-8">&nbsp;on</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;right.</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 134--><p class="indent"> The final basic example is the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;to</span></span></span> layout (it works a bit like a hypothetical <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span> layout). This layout
-resizes the logical page such that is fits the specified physical size. Since this does not change the page numbering,
-you need not worry about the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.aux</span></span></span> files with this layout. For example, adding the following lines will ensure that
-the physical output will fit on DIN A4 paper:
-<!--l. 140--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-383-" ><colgroup id="TBL-383-1g"><col
-id="TBL-383-1"></colgroup><tr
- valign="baseline" id="TBL-383-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-383-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{resize</span><span
-class="cmtt-8">&nbsp;to}[a4paper]</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 145--><p class="indent"> This can be very useful when you have to handle lots of papers that are typeset for, say, letter paper and you
-have an A4 printer or the other way round. For example, the following article will be fit for printing on letter
-paper:
-<!--l. 149--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-384-" ><colgroup id="TBL-384-1g"><col
-id="TBL-384-1"></colgroup><tr
- valign="baseline" id="TBL-384-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-384-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass[a4paper]{article}</span>
-<br><span
-class="cmsltt-10x-x-80">%%</span><span
-class="cmsltt-10x-x-80">&nbsp;a4</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;currently</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;logical</span><span
-class="cmsltt-10x-x-80">&nbsp;size</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;also</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;physical</span><span
-class="cmsltt-10x-x-80">&nbsp;size</span>
-<br>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{resize</span><span
-class="cmtt-8">&nbsp;to}[letterpaper]</span>
-<br><span
-class="cmsltt-10x-x-80">%%</span><span
-class="cmsltt-10x-x-80">&nbsp;a4</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;still</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;logical</span><span
-class="cmsltt-10x-x-80">&nbsp;size,</span><span
-class="cmsltt-10x-x-80">&nbsp;but</span><span
-class="cmsltt-10x-x-80">&nbsp;letter</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;physical</span><span
-class="cmsltt-10x-x-80">&nbsp;one</span>
-<br>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\title{My</span><span
-class="cmtt-8">&nbsp;Great</span><span
-class="cmtt-8">&nbsp;Article}</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 165--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">16.2 </span> <a
- id="x17-18200016.2"></a>The Predefined Layouts</h4>
-
-
-<!--l. 167--><p class="noindent">This section explains the predefined layouts in more detail. You select a layout using the following
-command:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox150"><span
-class="cmtt-10">\pgfpagesuselayout</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layout</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182001"></a>
- <!--l. 170--><p class="noindent">Installs the specified <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layout</span><span
-class="cmsy-10">&gt; </span>with the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>set. The predefined layouts and their permissible
- options are explained below.
- <!--l. 174--><p class="noindent">If this function is called multiple times, only the last call &#8220;wins.&#8221; You can thereby overwrite any
- previous settings. In particular, layouts <span
-class="cmti-10">do not </span>accumulate.
- <!--l. 178--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesuselayout{resize</span><span
-class="cmtt-10">&nbsp;to}[a4paper]</span></span></span> </dd></dl>
-<!--l. 181--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox151"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">resize to</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182002"></a>
-<a
- id="dx17-182003"></a>
- <!--l. 182--><p class="noindent">This layout is used to resize every logical page to a specified physical size. To determine the target size, the
- following options may be given:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">physical</span><span
-class="cmtt-10">&nbsp;paper</span><span
-class="cmtt-10">&nbsp;height=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> sets the height of the physical pape size to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">physical</span><span
-class="cmtt-10">&nbsp;paper</span><span
-class="cmtt-10">&nbsp;width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> sets the width of the physical pape size to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a0paper</span></span></span> sets the physical page size to DIN A0 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a1paper</span></span></span> sets the physical page size to DIN A1 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a2paper</span></span></span> sets the physical page size to DIN A2 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a3paper</span></span></span> sets the physical page size to DIN A3 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a4paper</span></span></span> sets the physical page size to DIN A4 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a5paper</span></span></span> sets the physical page size to DIN A5 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">a6paper</span></span></span> sets the physical page size to DIN A6 paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">letterpaper</span></span></span> sets the physical page size to the American letter paper size.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">legalpaper</span></span></span> sets the physical page size to the American legal paper size.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">executivepaper</span></span></span> sets the physical page size to the American executive paper size.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">landscape</span></span></span> swaps the height and the width of the physical paper.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span><span
-class="cmtt-10">&nbsp;shrink=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> additionally reduces the size of the logical page on the physical page by
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span>.</li></ul>
- </dd></dl>
-<!--l. 224--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox152"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">2 on 1</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182004"></a>
-<a
- id="dx17-182005"></a>
- <!--l. 225--><p class="noindent">Puts two logical pages alongside each other on each physical page if the logical height is larger than
- the logical width (logical pages are in portrait mode). Otherwise, two logical pages are put on top of
- each other (logical pages are in landscape mode). When using this layout, it is advisable to use the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\nofiles</span></span></span> command, but this is not done automatically.
- <!--l. 232--><p class="noindent">The same <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>as for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;to</span></span></span> layout an be used, plus the following option:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">odd</span><span
-class="cmtt-10">&nbsp;numbered</span><span
-class="cmtt-10">&nbsp;pages</span><span
-class="cmtt-10">&nbsp;right</span></span></span> places the first page on the right.</li></ul>
- </dd></dl>
-<!--l. 242--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox153"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">4 on 1</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182006"></a>
-<a
- id="dx17-182007"></a>
- <!--l. 243--><p class="noindent">Puts four logical pages on a single physical page. The same <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>as for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;to</span></span></span> layout an
- be used. </dd></dl>
-<!--l. 247--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox154"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">8 on 1</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182008"></a>
-<a
- id="dx17-182009"></a>
- <!--l. 248--><p class="noindent">Puts eight logical pages on a single physical page. As for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2</span><span
-class="cmtt-10">&nbsp;on</span><span
-class="cmtt-10">&nbsp;1</span></span></span>, the orientation depends on whether
- the logical pages are in landscape mode or in portrait mode. </dd></dl>
-<!--l. 253--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox155"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">16 on 1</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182010"></a>
-<a
- id="dx17-182011"></a>
- <!--l. 254--><p class="noindent">This is for the <span
-class="cmcsc-10"><small
-class="small-caps">C</small><small
-class="small-caps">E</small><small
-class="small-caps">O</small></span>. </dd></dl>
-<!--l. 257--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox156"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">rounded corners</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182012"></a>
-<a
- id="dx17-182013"></a>
- <!--l. 259--><p class="noindent">This layout adds &#8220;rounded corners&#8221; to every page, which, supposedly, looks nicer during presentations
- with projectors (personally, I doubt this). This is done by (possibly) resizing the page to the physical
- page size. Then four black rectangles are drawn in each corner. Next, a clipping region is set up that
- contains all of the logical page except for little rounded corners. Finally, the logical page is draw,
- clipped against the clipping region.
- <!--l. 268--><p class="noindent">Note that every logical page should fill its background for this to work.
- <!--l. 271--><p class="noindent">In addition to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>that can be given to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;to</span></span></span> the following options may be given.
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">corner</span><span
-class="cmtt-10">&nbsp;width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> specifies the size of the corner.</li></ul>
-
-
- <!--l. 278--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-385-" ><colgroup id="TBL-385-1g"><col
-id="TBL-385-1"></colgroup><tr
- valign="baseline" id="TBL-385-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-385-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{beamer}</span>
-<br><span
-class="cmtt-8">\usepackage{pgfpages}</span>
-<br><span
-class="cmtt-8">\pgfpagesuselayout{rounded</span><span
-class="cmtt-8">&nbsp;corners}[corner</span><span
-class="cmtt-8">&nbsp;width=5pt]</span>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 288--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox157"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">two screens with lagging second</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182014"></a>
-<a
- id="dx17-182015"></a>
- <!--l. 289--><p class="noindent">This layout puts two logical pages alongside each other. The second page always shows what the main
- page showed on the previous physical page. Thus, the second page &#8220;lags behind&#8221; the main page. This
- can be useful when you have to projectors attached to your computer and can show different parts of
- a physical page on different projectors.
- <!--l. 296--><p class="noindent">The following <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>may be given:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;right</span></span></span> puts the second page right of the main page. This will make the physical pages
- twice as wide as the logical pages, but it will retain the height.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;left</span></span></span> puts the second page left, otherwise it behave the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;right</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;bottom</span></span></span> puts the second page below the main page. This make the physical pages twice
- as high as the logical ones.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;top</span></span></span> works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">second</span><span
-class="cmtt-10">&nbsp;bottom</span></span></span>.</li></ul>
- </dd></dl>
-<!--l. 310--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox158"><span
-class="cmtt-10">\pgfpagesuselayout{</span><span
-class="cmtt-10">two screens with optional second</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182016"></a>
-<a
- id="dx17-182017"></a>
- <!--l. 311--><p class="noindent">This layout works similarly to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">two</span><span
-class="cmtt-10">&nbsp;screens</span><span
-class="cmtt-10">&nbsp;with</span><span
-class="cmtt-10">&nbsp;lagging</span><span
-class="cmtt-10">&nbsp;second</span></span></span>. The difference is that the contents
- of the second screen only changes when one of the commands <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshipoutlogicalpage{2}</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfcurrentpagewillbelogicalpage{2}</span></span></span> is called. The first puts the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt; </span>on the second page.
- The second specifies that the current page should be put there, once it is finished.
- <!--l. 319--><p class="noindent">The same options as for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">two</span><span
-class="cmtt-10">&nbsp;screens</span><span
-class="cmtt-10">&nbsp;with</span><span
-class="cmtt-10">&nbsp;lagging</span><span
-class="cmtt-10">&nbsp;second</span></span></span> may be given. </dd></dl>
-<!--l. 325--><p class="indent"> You can define your own predefined layouts using the following command:
-<!--l. 329--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox159"><span
-class="cmtt-10">\pgfpagesdeclarelayout</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layout</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">before actions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">after actions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx17-182018"></a>
- <!--l. 330--><p class="noindent">This command predefines a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layout</span><span
-class="cmsy-10">&gt; </span>that can later be installed using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesuselayout</span></span></span>
- command.
- <!--l. 333--><p class="noindent">When <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesuselayout</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layout</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">] </span>is called, the following happens: First, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">before</span>
- <span
-class="cmti-10">actions</span><span
-class="cmsy-10">&gt; </span>are executed. They can be used, for example, to setup default values for keys. Next,
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\setkeys{pgfpagesuselayoutoption}</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>is executed. Finally, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">after actions</span><span
-class="cmsy-10">&gt; </span>are
- executed.
- <!--l. 339--><p class="noindent">Here is an example:
-
-
- <!--l. 340--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-386-" ><colgroup id="TBL-386-1g"><col
-id="TBL-386-1"></colgroup><tr
- valign="baseline" id="TBL-386-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-386-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpagesdeclarelayout{resize</span><span
-class="cmtt-8">&nbsp;to}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\def\pgfpageoptionborder{0pt}</span>
-<br><span
-class="cmtt-8">}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpagesphysicalpageoptions</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;logical</span><span
-class="cmtt-8">&nbsp;pages=1,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;physical</span><span
-class="cmtt-8">&nbsp;height=\pgfpageoptionheight,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;physical</span><span
-class="cmtt-8">&nbsp;width=\pgfpageoptionwidth</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpageslogicalpageoptions{1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;width=\pgfphysicalwidth,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;height=\pgfphysicalheight,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;border</span><span
-class="cmtt-8">&nbsp;shrink=\pgfpageoptionborder,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;center=\pgfpoint{.5\pgfphysicalwidth}{.5\pgfphysicalheight}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 366--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">16.3 </span> <a
- id="x17-18300016.3"></a>Defining a Layout</h4>
-<!--l. 368--><p class="noindent">If none of the predefined layouts meets your problem or if you wish to modify them, you can create layouts from
-scratch. This section explains how this is done.
-<!--l. 372--><p class="indent"> Basically, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> hooks into <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shipout</span></span></span> function. This function is called whenever <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;has completed
-typesetting a page and wishes to send this page to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> file. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> package redefines this
-command. Instead of sending the page to the output file, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> stores it in an internal box and then
-acts as if the page had been output. When <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;tries to output the next page using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shipout</span></span></span>, this
-call is once more intercepted and the page is stored in another box. These boxes are called <span
-class="cmti-10">logical</span>
-<span
-class="cmti-10">pages</span>.
-<!--l. 381--><p class="indent"> At some point, enough logical pages have been accumulated such that a <span
-class="cmti-10">physical page </span>can be output. When this
-happens, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> possibly scales, rotates, and translates the logical pages (and possibly even does
-further modifications) and then puts them at certain positions of the <span
-class="cmti-10">physical </span>page. Once this page is
-fully assembled, the &#8220;real&#8221; or &#8220;original&#8221; <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shipout</span></span></span> is called to send the physical page to the output
-file.
-<!--l. 389--><p class="indent"> In reality, things are slightly more complicated. First, once a physical page has been shipped out, the logical
-pages are usually voided, but this need not be the case. Instead, it is possible that certain logical page just retain
-their contents after the physical page has been shipped out and these pages need not be filled once more before a
-physical shipout can occur. However, the contents of these logical pages can still be changed using special
-commands. It is also possible that after a shipout certain logical pages are filled with the contents of <span
-class="cmti-10">other </span>logical
-pages.
-<!--l. 399--><p class="indent"> A <span
-class="cmti-10">layout </span>defines for each logical page where it will go on the physical page and which further modifications
-should be done. The following two commands are used to define the layout:
-<!--l. 403--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox160"><span
-class="cmtt-10">\pgfpagesphysicalpageoptions</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx17-183001"></a>
- <!--l. 404--><p class="noindent">This command sets the characteristic of the &#8220;physical&#8221; page. For example, it is used to specify how
- many logical pages there are and how many logical pages must be accumulated before a physical
- page is shipped out. How each individual logical page is typeset is specified using the command
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpageslogicalpageoptions</span></span></span>, described later.
- <!--l. 411--><p class="noindent"><span
-class="cmti-10">Example: </span>A layout for putting two portrait pages on a single landscape page:
-
-
- <!--l. 413--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-387-" ><colgroup id="TBL-387-1g"><col
-id="TBL-387-1"></colgroup><tr
- valign="baseline" id="TBL-387-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-387-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpagesphysicalpageoptions</span>
-<br><span
-class="cmtt-8">{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;logical</span><span
-class="cmtt-8">&nbsp;pages=2,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;physical</span><span
-class="cmtt-8">&nbsp;height=\paperwidth,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;physical</span><span
-class="cmtt-8">&nbsp;width=\paperheight,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span>
-<br>
-<br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{1}</span>
-<br><span
-class="cmtt-8">{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;width=.5\pgfphysicalwidth,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;height=\pgfphysicalheight,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;center=\pgfpoint{.25\pgfphysicalwidth}{.5\pgfphysicalheight}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{2}</span>
-<br><span
-class="cmtt-8">{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;width=.5\pgfphysicalwidth,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;height=\pgfphysicalheight,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;center=\pgfpoint{.75\pgfphysicalwidth}{.5\pgfphysicalheight}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span><span
-class="cmsltt-10x-x-80">%</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 435--><p class="noindent">The following <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>may be set:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">logical</span><span
-class="cmtt-10">&nbsp;pages=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical pages</span><span
-class="cmsy-10">&gt;</span> specified how many logical pages there are, in total. These are
- numbered 1 to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical pages</span><span
-class="cmsy-10">&gt;</span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">first</span><span
-class="cmtt-10">&nbsp;logical</span><span
-class="cmtt-10">&nbsp;shipout=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt;</span>. See the the next option. By default, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt; </span>is 1.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">last</span><span
-class="cmtt-10">&nbsp;logical</span><span
-class="cmtt-10">&nbsp;shipout=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last</span><span
-class="cmsy-10">&gt;</span>. Together with the previous option, these two options define an
- interval of pages inside the range 1 to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical pages</span><span
-class="cmsy-10">&gt;</span>. Only this range is used to store the pages
- that are shipped out by <span class="TEX">T<span
-class="E">E</span>X</span>. This means that after a physical shipout has just occured (or at
- the beginning), the first time <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;wishes to perform a shipout, the page to be shipped out is
- stored in logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt;</span>. The next time <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;performs a shipout, the page is stored in logical
- page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt;</span>+1 and so on, until the logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last</span><span
-class="cmsy-10">&gt; </span>is also filled. Once this happens, a physical
- shipout occurs and the process starts once more.
- <!--l. 454--><p class="noindent">Note that logical pages that lie outside the interval between <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last</span><span
-class="cmsy-10">&gt; </span>are filled only
- indirectly or when special commands are used.
- <!--l. 458--><p class="noindent">By default, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last</span><span
-class="cmsy-10">&gt; </span>equals <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical pages</span><span
-class="cmsy-10">&gt;</span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">current</span><span
-class="cmtt-10">&nbsp;logical</span><span
-class="cmtt-10">&nbsp;shipout=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt;</span> changes an internal counter such that <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s next logical
- shipout will be stored in logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 463--><p class="noindent">This option can be used to &#8220;warp&#8221; the logical page filling mechanism to a certain page. You can
- both skip logical pages and overwrite already filled logical pages. After the logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt;</span>
- has been filled, the internal counter is incremented normally as if the logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt; </span>had
- been &#8220;reached&#8221; normally. If you specify a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt; </span>larger to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last</span><span
-class="cmsy-10">&gt;</span>, a physical shipout will occur
- after the logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current</span><span
-class="cmsy-10">&gt; </span>has been filled.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">physical</span><span
-class="cmtt-10">&nbsp;height=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span> specifies the height of the physical pages. This height is typically
- different from the normal <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\paperheight</span></span></span>, which is used by <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;for its typesetting and page
- breaking purposes.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">physical</span><span
-class="cmtt-10">&nbsp;width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span> specifies the physical width.</li></ul>
- </dd></dl>
-<!--l. 483--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox161"><span
-class="cmtt-10">\pgfpageslogicalpageoptions</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical page number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx17-183002"></a>
-
-
- <!--l. 484--><p class="noindent">This command is used to specify where the logical page number <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical page number</span><span
-class="cmsy-10">&gt; </span>will be placed on
- the physical page. In addition, this command can be used to install additional &#8220;code&#8221; to be executed
- when this page is put on the physical page.
- <!--l. 489--><p class="noindent">The number <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical page number</span><span
-class="cmsy-10">&gt; </span>should be between 1 and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical pages</span><span
-class="cmsy-10">&gt;</span>, which has previously been
- installed using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesphysicalpageoptions</span></span></span> command.
- <!--l. 493--><p class="noindent">The following <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>may be given:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">pgf point</span><span
-class="cmsy-10">&gt;</span> specifies the center of the logical page inside the physical page as a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>-point.
- The origin of the coordinate system of the physical page is at the <span
-class="cmti-10">lower </span>left corner.
- <!--l. 501--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-388-" ><colgroup id="TBL-388-1g"><col
-id="TBL-388-1"></colgroup><tr
- valign="baseline" id="TBL-388-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-388-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{1}</span>
-<br><span
-class="cmtt-8">{</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;center</span><span
-class="cmsltt-10x-x-80">&nbsp;logical</span><span
-class="cmsltt-10x-x-80">&nbsp;page</span><span
-class="cmsltt-10x-x-80">&nbsp;on</span><span
-class="cmsltt-10x-x-80">&nbsp;middle</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;left</span><span
-class="cmsltt-10x-x-80">&nbsp;side</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;center=\pgfpoint{.25\pgfphysicalwidth}{.5\pgfphysicalheight}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;width=.5\pgfphysicalwidth,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;resized</span><span
-class="cmtt-8">&nbsp;height=\pgfphysicalheight,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resized</span><span
-class="cmtt-10">&nbsp;width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> specifies the width that the logical page should have <span
-class="cmti-10">at most </span>on the physical page.
- To achieve this width, the pages is scaled down appropriately <span
-class="cmti-10">or more</span>. The &#8220;or more&#8221; part can
- happen if the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;height</span></span></span> option is also used. In this case, the scaling is chosen such
- that both the specified height and width are met. The aspect ratio of a logical page is not
- modified.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resized</span><span
-class="cmtt-10">&nbsp;height=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span> specifies the maximum height of the logical page.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">original</span><span
-class="cmtt-10">&nbsp;width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span> specifies the width the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;&#8220;thinks&#8221; that the logical page has. This width is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\paperwidth</span></span></span> at the point of invocation, by default. Note that setting this width to something different
- from <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\paperwidth</span></span></span> does <span
-class="cmti-10">not </span>change the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pagewidth</span></span></span> during <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s typesetting. You have to do that
- yourself.
- <!--l. 530--><p class="noindent">You need this option only for special logical pages that have a height or width different from the normal
- one and for which you will (later on) set these sizes yourself.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">original</span><span
-class="cmtt-10">&nbsp;height=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span> works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">original</span><span
-class="cmtt-10">&nbsp;width</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">scale=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span> scales the page by at least the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>. A <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> will half the size of the
- page, a factor or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2</span></span></span> will double the size. &#8220;At least&#8221; means that if options like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">resize</span><span
-class="cmtt-10">&nbsp;height</span></span></span> are given
- and if the scaling required to meet that option is less than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>, that other scaling is used
- instead.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xscale=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span> scales the logical page along the <span
-class="cmmi-10">x</span>-axis by the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>. This scaling is done
- independently of any other scaling. Mostly, this option is useful for a factor of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-1</span></span></span>, which flips the page
- along the <span
-class="cmmi-10">y</span>-axis. The aspect ratio is not kept.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">yscale=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span> works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xscale</span></span></span>, only for the <span
-class="cmmi-10">y</span>-axis.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rotation=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt;</span> rotates the page by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt; </span>around its center. Use a degree of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">90</span></span></span> or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-90</span></span></span> to go from portrait to landscape and back. The rotation need not be a multiple of
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">90</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">copy</span><span
-class="cmtt-10">&nbsp;from=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical page number</span><span
-class="cmsy-10">&gt;</span>. Normally, after a physical shipout has occured, all logical pages are
- voided in a loop. However, if this option is given, the current logical page is filled with the contents of the
- old logical page number <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">logical page number</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 565--><p class="noindent"><span
-class="cmti-10">Example: </span>Have logical page 2 retain its contents:
-
-
- <!--l. 566--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-389-" ><colgroup id="TBL-389-1g"><col
-id="TBL-389-1"></colgroup><tr
- valign="baseline" id="TBL-389-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-389-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{2}{copy</span><span
-class="cmtt-8">&nbsp;from=2}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 570--><p class="noindent"><span
-class="cmti-10">Example: </span>Let logical page 2 show what logical page 1 showed on the just-shipped-out physical
- page:
- <!--l. 572--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-390-" ><colgroup id="TBL-390-1g"><col
-id="TBL-390-1"></colgroup><tr
- valign="baseline" id="TBL-390-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-390-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{2}{copy</span><span
-class="cmtt-8">&nbsp;from=1}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span><span
-class="cmtt-10">&nbsp;shrink</span></span></span>=<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> specifies an addition reduction of the size to which the page is page is scaled
- down.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span><span
-class="cmtt-10">&nbsp;code</span></span></span>=<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span>. When this option is given, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed before the page box is
- inserted with a path preinstalled that is a rectangle around the current logical page. Thus,
- setting <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfstroke</span></span></span> draws a rectangle around the logical page. Setting <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>to
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetlinewidth{3pt}\pgfstroke</span></span></span> results in a thick (ugly) frame. Adding dashes and filling can result
- in arbitrarily funky and distracting borders.
- <!--l. 589--><p class="noindent">You can also call <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdiscardpath</span></span></span> and add your own path construction code (for example to paint a
- rectangle with rounded corners). The coordinate system is setup in such a way that a rectangle starting
- at the origin and having the height and width of <span class="TEX">T<span
-class="E">E</span>X</span>-box 0 will result in a rectangle filling exactly the
- logical page currently being put on the physical page. The logical page is inserted <span
-class="cmti-10">after </span>these commands
- have been executed.
- <!--l. 597--><p class="noindent"><span
-class="cmti-10">Example: </span>Add a rectangle around the page:
- <!--l. 598--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-391-" ><colgroup id="TBL-391-1g"><col
-id="TBL-391-1"></colgroup><tr
- valign="baseline" id="TBL-391-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-391-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfpageslogicalpageoptions{1}{border</span><span
-class="cmtt-8">&nbsp;code=\pgfstroke}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">corner</span><span
-class="cmtt-10">&nbsp;width</span></span></span>=<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">size</span><span
-class="cmsy-10">&gt;</span> adds black &#8220;rounded corners&#8221; to the page. See the description of the predefined
- layout <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rounded</span><span
-class="cmtt-10">&nbsp;corners</span></span></span> on page&nbsp;<a
-href="#x17-18200016.2">211<!--tex4ht:ref: section-plot-handlers --></a>.</li></ul>
- </dd></dl>
-<!--l. 612--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">16.4 </span> <a
- id="x17-18400016.4"></a>Creating Logical Pages</h4>
-<!--l. 614--><p class="noindent">Logical pages are created whenever a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;thinks that a page is full and performs a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shipout</span></span></span> command. This will
-cause <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpages</span></span></span> to store the box that was supposed to be shipped out internally until enough logical pages have
-been collected such that a physical shipout can occur.
-<!--l. 620--><p class="indent"> Normally, whenever a logical shipout occurs that current page is stored in logical page number <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current logical</span>
-<span
-class="cmti-10">page</span><span
-class="cmsy-10">&gt;</span>. This counter is then incremented, until it is larger than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">last logical shipout</span><span
-class="cmsy-10">&gt;</span>. You can, however, directly
-change the value of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current logical page</span><span
-class="cmsy-10">&gt; </span>by calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpagesphysicalpageoptions</span></span></span>.
-<!--l. 626--><p class="indent"> Another way to set the contents of a logical page is to use the following command:
-<!--l. 629--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox162"><span
-class="cmtt-10">\pgfpagesshipoutlogicalpage</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
-<a
- id="dx17-184001"></a>
- <!--l. 630--><p class="noindent">This command sets to logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt; </span>to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt;</span>. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt; </span>should be the code of a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;box
- command. This command does not influence the counter <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current logical page</span><span
-class="cmsy-10">&gt; </span>and does not cause a
- physical shipout.
- <!--l. 635--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-392-" ><colgroup id="TBL-392-1g"><col
-id="TBL-392-1"></colgroup><tr
- valign="baseline" id="TBL-392-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-392-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpagesshipoutlogicalpage{0}\vbox{Hi!}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 639--><p class="noindent">This command can be used to set the contents of logical pages that are normally not filled. </dd></dl>
-<!--l. 643--><p class="indent"> The final way of setting a logical page is using the following command:
-<!--l. 646--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox163"><span
-class="cmtt-10">\pgfpagescurrentpagewillbelogicalpage</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx17-184002"></a>
- <!--l. 647--><p class="noindent">When the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;page has been typeset, it will be become the given logical page <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt;</span>. This
- command &#8220;interrupts&#8221; the normal order of logical pages, that is, it behaves like the previous command
- and does not update the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">current logical page</span><span
-class="cmsy-10">&gt; </span>counter.
- <!--l. 653--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-393-" ><colgroup id="TBL-393-1g"><col
-id="TBL-393-1"></colgroup><tr
- valign="baseline" id="TBL-393-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-393-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpagesuselayout{two</span><span
-class="cmtt-8">&nbsp;screens</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;optional</span><span
-class="cmtt-8">&nbsp;second}</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">Text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;main</span><span
-class="cmtt-8">&nbsp;page.</span>
-<br><span
-class="cmtt-8">\clearpage</span>
-<br>
-<br><span
-class="cmtt-8">\pgfpagescurrentpagewillbelogicalpage{2}</span>
-<br><span
-class="cmtt-8">Text</span><span
-class="cmtt-8">&nbsp;that</span><span
-class="cmtt-8">&nbsp;goes</span><span
-class="cmtt-8">&nbsp;to</span><span
-class="cmtt-8">&nbsp;second</span><span
-class="cmtt-8">&nbsp;page</span>
-<br><span
-class="cmtt-8">\clearpage</span>
-<br>
-<br><span
-class="cmtt-8">Text</span><span
-class="cmtt-8">&nbsp;for</span><span
-class="cmtt-8">&nbsp;main</span><span
-class="cmtt-8">&nbsp;page.</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse17.html" >next</a>] [<a
-href="pgfmanualse15.html" >prev</a>] [<a
-href="pgfmanualse15.html#tailpgfmanualse15.html" >prev-tail</a>] [<a
-href="pgfmanualse16.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse16.html" >up</a>] </p></div>
-<!--l. 7--><p class="indent"> <a
- id="tailpgfmanualse16.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse17.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse17.html
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--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse17.html
+++ /dev/null
@@ -1,260 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>17 Extended Color Support</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse16.html" >prev</a>] [<a
-href="pgfmanualse16.html#tailpgfmanualse16.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse17.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse17.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">17 </span> <a
- id="x18-18500017"></a>Extended Color Support</h3>
-<!--l. 9--><p class="noindent">This section documents the package <span
-class="cmtt-10">xxcolor</span>, which is currently distributed as part of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. This package
-extends the <span
-class="cmtt-10">xcolor </span>package, written by Uwe Kern, which in turn extends the <span
-class="cmtt-10">color </span>package. I hope
-that the commands in <span
-class="cmtt-10">xxcolor </span>will some day migrate to <span
-class="cmtt-10">xcolor</span>, such that this package becomes
-superfluous.
-<!--l. 16--><p class="indent"> The main aim of the <span
-class="cmtt-10">xxcolor </span>package is to provide an environment inside which all colors are &#8220;washed out&#8221; or
-&#8220;dimmed.&#8221; This is useful in numerous situations and must typically be achieved in a roundabout manner if such an
-environment is not available.
-<!--l. 21--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox164"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">colormixin</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mix-in specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox165"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox166"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">colormixin</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx18-185001"></a>
-<a
- id="dx18-185002"></a>
- <!--l. 22--><p class="noindent">The mix-in specification is applied to all colors inside the environment. At the beginning of the
- environment, the mix-in is applied to the current color, i. e., the color that was in effect before the
- environment started. A mix-in specification is a number between 0 and 100 followed by an exclamation
- mark and a color name. When a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command is encountered inside a mix-in environment, the
- number states what percentage of the desired color should be used. The rest is &#8220;filled up&#8221; with the
- color given in the mix-in specification. Thus, a mix-in specification like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">90!blue</span></span></span> will mix in 10% of
- blue into everything, whereas <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">25!white</span></span></span> will make everything nearly white.
- <!--l. 35--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-394-" ><colgroup id="TBL-394-1g"><col
-id="TBL-394-1"><col
-id="TBL-394-2"></colgroup><tr
- valign="baseline" id="TBL-394-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-394-1-1"
-class="td11"> &nbsp;<table class="minipage"><tr><td>Red text,washed-out red
-text, washed-out blue text,
-dark washed-out blue
-text, dark washed-out
-green text,
-back to washed-out blue
-text,
-and back to red. </td></tr></table>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-394-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{minipage}{3.5cm}\raggedright</span>
-<br><span
-class="cmtt-8">\color{red}Red</span><span
-class="cmtt-8">&nbsp;text,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\begin{colormixin}{25!white}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;washed-out</span><span
-class="cmtt-8">&nbsp;red</span><span
-class="cmtt-8">&nbsp;text,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{blue}</span><span
-class="cmtt-8">&nbsp;washed-out</span><span
-class="cmtt-8">&nbsp;blue</span><span
-class="cmtt-8">&nbsp;text,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{colormixin}{25!black}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;dark</span><span
-class="cmtt-8">&nbsp;washed-out</span><span
-class="cmtt-8">&nbsp;blue</span><span
-class="cmtt-8">&nbsp;text,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{green}</span><span
-class="cmtt-8">&nbsp;dark</span><span
-class="cmtt-8">&nbsp;washed-out</span><span
-class="cmtt-8">&nbsp;green</span><span
-class="cmtt-8">&nbsp;text,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{colormixin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;back</span><span
-class="cmtt-8">&nbsp;to</span><span
-class="cmtt-8">&nbsp;washed-out</span><span
-class="cmtt-8">&nbsp;blue</span><span
-class="cmtt-8">&nbsp;text,</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\end{colormixin}</span>
-<br><span
-class="cmtt-8">and</span><span
-class="cmtt-8">&nbsp;back</span><span
-class="cmtt-8">&nbsp;to</span><span
-class="cmtt-8">&nbsp;red.</span>
-<br><span
-class="cmtt-8">\end{minipage}</span><span
-class="cmsltt-10x-x-80">%</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 52--><p class="indent"> Note that the environment only changes colors that have been installed using the standard <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span>
-command. In particular, the colors in images are not changed. There is, however, some support offered by the
-commands <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseshading</span></span></span>. If the first command is invoked inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">colormixin</span></span></span> environment
-with the parameter, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">50!black</span></span></span> on an image with the name <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foo</span></span></span>, the command will first check whether there is
-also a defined image with the name <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foo.!50!black</span></span></span>. If so, this image is used instead. This allows you to provide a
-different image for this case. If you nest <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">colormixin</span></span></span> environments, the different mix-ins are all appended. For
-example, inside the inner environment of the above example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage{foo}</span></span></span> would first check whether there
-exists an image named <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">foo.!50!white!25!black</span></span></span>.
-
-
-<!--l. 67--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox167"><span
-class="cmtt-10">\colorcurrentmixin</span></span> </dt><dd
-class="description">
-<a
- id="dx18-185003"></a>
- <!--l. 68--><p class="noindent">Expands to the current accumulated mix-in. Each nesting of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">colormixin</span></span></span> adds a mix-in to this
- list.
- <!--l. 70--><p class="noindent"><div class="obeylines-v"></div><table class="minipage"><tr><td>!75!white&nbsp;should be &#8220;!75!white&#8221;
-<!--l. 1--><p class="noindent">!75!black!75!white&nbsp;should be &#8220;!75!black!75!white&#8221;
-<!--l. 1--><p class="noindent">!50!white!75!black!75!white&nbsp;should be &#8220;!50!white!75!black!75!white&#8221; </td></tr></table><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-395-" ><colgroup id="TBL-395-1g"><col
-id="TBL-395-1"></colgroup><tr
- valign="baseline" id="TBL-395-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-395-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{minipage}{\linewidth-6pt}\raggedright</span>
-<br><span
-class="cmtt-8">\begin{colormixin}{75!white}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorcurrentmixin\</span><span
-class="cmtt-8">&nbsp;should</span><span
-class="cmtt-8">&nbsp;be</span><span
-class="cmtt-8">&nbsp;``!75!white''\par</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{colormixin}{75!black}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorcurrentmixin\</span><span
-class="cmtt-8">&nbsp;should</span><span
-class="cmtt-8">&nbsp;be</span><span
-class="cmtt-8">&nbsp;``!75!black!75!white''\par</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{colormixin}{50!white}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorcurrentmixin\</span><span
-class="cmtt-8">&nbsp;should</span><span
-class="cmtt-8">&nbsp;be</span><span
-class="cmtt-8">&nbsp;``!50!white!75!black!75!white''\par</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{colormixin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{colormixin}</span>
-<br><span
-class="cmtt-8">\end{colormixin}</span>
-<br><span
-class="cmtt-8">\end{minipage}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse16.html" >prev</a>] [<a
-href="pgfmanualse16.html#tailpgfmanualse16.html" >prev-tail</a>] [<a
-href="pgfmanualse17.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse17.html" >up</a>] </p></div>
-<!--l. 224--><p class="indent"> <a
- id="tailpgfmanualse17.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse18.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse18.html
deleted file mode 100644
index 8904a03571a..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse18.html
+++ /dev/null
@@ -1,285 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>18 Design Principles</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse19.html" >next</a>] [<a
-href="#tailpgfmanualse18.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse18.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">18 </span> <a
- id="x19-18700018"></a>Design Principles</h3>
-<!--l. 10--><p class="noindent">This section describes the basic layer of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. This layer is build on top of the system layer. Whereas the system
-layer just provides the absolute minimum for drawing graphics, the basic layer provides numerous commands that
-make it possible to create sophisticated graphics easily and also quickly.
-<!--l. 16--><p class="indent"> The basic layer does not provide a convenient syntax for describing graphics, which is left to frontends like Ti<span
-class="cmti-10">k</span>Z.
-For this reason, the basic layer is typically used only by &#8220;other programs.&#8221; For example, the <span
-class="cmcsc-10"><small
-class="small-caps">B</small><small
-class="small-caps">E</small><small
-class="small-caps">A</small><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">R</small> </span>package uses
-the basic layer extensively, but does not need a convenient input syntax. Rather, speed and flexibility are needed
-when <span
-class="cmcsc-10"><small
-class="small-caps">B</small><small
-class="small-caps">E</small><small
-class="small-caps">A</small><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">R</small> </span>creates graphics.
-<!--l. 23--><p class="indent"> The following basic design principles underlie the basic layer:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x19-187002x1"></a>Structuring into a core and several optional packages.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x19-187004x2"></a>Consistently named <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;macros for all graphics commands.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x19-187006x3"></a>Path-centered description of graphics.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x19-187008x4"></a>Coordinate transformation system.</li></ol>
-<!--l. 33--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">18.1 </span> <a
- id="x19-18800018.1"></a>Core and Optional Packages</h4>
-<!--l. 35--><p class="noindent">The basic layer consists of a <span
-class="cmti-10">core package</span>, called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>, which provides the most basic commands, and several
-optional package like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseshade</span></span></span> that offer more special-purpose commands.
-<!--l. 39--><p class="indent"> You can include the core by saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{pgfcore}</span></span></span> or, as a plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;user, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input</span><span
-class="cmtt-10">&nbsp;pgfcore.tex</span></span></span>.
-<!--l. 42--><p class="indent"> The following optional packages are provided by the basic layer:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span> provides commands for plotting functions.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseshapes</span></span></span> provides commands for drawing shapes and nodes.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span> provides commands for including external images. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> package does a much
- better job at this than the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span> package does, so you should normally use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\includegraphics</span></span></span>
- and not <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfimage</span></span></span>. However, in some situations (like when masking is needed or when plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;is
- used) this package is needed.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaselayers</span></span></span> provides commands for creating layered graphics. Using layers you can later on say
- that a certain path should be behind a path that was specified earlier.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbasesnakes</span></span></span> provides commands for adding snaked lines to the path. Such lines are not straight
- but rather wind in some specific fashion.</li></ul>
-<!--l. 66--><p class="indent"> If you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{pgf}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input</span><span
-class="cmtt-10">&nbsp;pgf.tex</span></span></span>, all of the optional packages are loaded (as well as the core
-and the system layer).
-
-
-<!--l. 70--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">18.2 </span> <a
- id="x19-18900018.2"></a>Communicating with the Basic Layer via Macros</h4>
-<!--l. 72--><p class="noindent">In order to &#8220;communicate&#8221; with the basic layer you use long sequences of commands that start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf</span></span></span>. You are
-only allowed to give these commands inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. (Note that <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> opens a
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> internally, so you can freely mix <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;commands and Ti<span
-class="cmti-10">k</span>Z&nbsp;commands inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span>.) It
-is possible to &#8220;do other things&#8221; between the commands. For example, you might use one command
-to move to a certain point, then have a complicated computation of the next point, and then move
-there.
-<!--l. 82--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-397-" ><colgroup id="TBL-397-1g"><col
-id="TBL-397-1"><col
-id="TBL-397-2"></colgroup><tr
- valign="baseline" id="TBL-397-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-397-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-470.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-397-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\newdimen\myypos</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0cm}{\myypos}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{\myypos}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\advance</span><span
-class="cmtt-8">&nbsp;\myypos</span><span
-class="cmtt-8">&nbsp;by</span><span
-class="cmtt-8">&nbsp;1cm</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{\myypos}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathclose</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 94--><p class="indent"> The following naming conventions are used in the basic layer:
-<!--l. 96--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x19-189002x1"></a>All commands and environments start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x19-189004x2"></a>All commands that specify a point (a coordinate) start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint</span></span></span>.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x19-189006x3"></a>All commands that extend the current path start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpath</span></span></span>.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x19-189008x4"></a>All commands that set/change a graphics parameter start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfset</span></span></span>.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x19-189010x5"></a>All commands that use a previously declared object (like a path, image or shading) start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuse</span></span></span>.
- </li>
- <li class="enumerate" value="6"
-><a
- id="x19-189012x6"></a>All commands having to do with coordinate transformations start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftransform</span></span></span>.
- </li>
- <li class="enumerate" value="7"
-><a
- id="x19-189014x7"></a>All commands having to do with arrow tips start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfarrows</span></span></span>.
- </li>
- <li class="enumerate" value="8"
-><a
- id="x19-189016x8"></a>All commands for &#8220;quickly&#8221; extending or drawing a path start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathq</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepathq</span></span></span>.</li></ol>
-<!--l. 119--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">18.3 </span> <a
- id="x19-19000018.3"></a>Path-Centered Approach</h4>
-<!--l. 121--><p class="noindent">In <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;the most important entity is the <span
-class="cmti-10">path</span>. All graphics are composed of numerous paths that can be stroked,
-filled, shaded, or clipped against. Paths can be closed or open, they can self-intersect and consist of unconnected
-parts.
-<!--l. 126--><p class="indent"> Paths are first <span
-class="cmti-10">constructed </span>and then <span
-class="cmti-10">used</span>. In order to construct a path, you can use commands
-starting with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpath</span></span></span>. Each time such a command is called, the current path is extended in some
-way.
-<!--l. 131--><p class="indent"> Once a path has been completely constructed, you can use it using the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span>. Depending on
-the parameters given to this command, the path will be stroked (drawn) or filled or subsequent drawings will be
-clipped against this path.
-
-
-<!--l. 139--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">18.4 </span> <a
- id="x19-19100018.4"></a>Coordinate Versus Canvas Transformations</h4>
-<!--l. 143--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;provides two transformation systems: <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s own <span
-class="cmti-10">coordinate </span>transformation matrix and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&#8217;s or PostScript&#8217;s
-<span
-class="cmti-10">canvas </span>transformation matrix. These two systems are quite different. Whereas a scaling by a factor of, say, 2 of the
-canvas causes <span
-class="cmti-10">everything </span>to be scaled by this factor (including the thickness of lines and text), a scaling of
-two in the coordinate system causes only the <span
-class="cmti-10">coordinates </span>to be scaled, but not the line width nor
-text.
-<!--l. 152--><p class="indent"> By default, all transformations only apply to the coordinate transformation system. However, using the
-command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflowlevel</span></span></span> it is possible to apply a transformation to the canvas.
-<!--l. 156--><p class="indent"> Coordinate transformations are often preferable over canvas transformations. Text and lines that are transformed
-using canvas transformations suffer from differing sizes and lines whose thickness differs depending on whether the
-line is horizontal or vertical. To appreciate the difference, consider the following two &#8220;circles&#8221; both of which
-have been scaled in the <span
-class="cmmi-10">x</span>-direction by a factor of 3 and by a factor of 0<span
-class="cmmi-10">.</span>5 in the <span
-class="cmmi-10">y</span>-direction. The left
-circle uses a canvas transformation, the right uses <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s coordinate transformation (some viewers will
-render the left graphic incorrectly since they do no apply the low-level transformation the way they
-should):
-<!--l. 182--><p class="indent"> <object data="pgfmanual-471.svg" width="598.50533 " height="76.87369 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse19.html" >next</a>] [<a
-href="pgfmanualse18.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse18.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse18.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse19.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse19.html
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>19 Hierarchical Structures:
-Package, Environments, Scopes, and Text</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse20.html" >next</a>] [<a
-href="pgfmanualse18.html" >prev</a>] [<a
-href="pgfmanualse18.html#tailpgfmanualse18.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse19.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse19.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">19 </span> <a
- id="x20-19200019"></a>Hierarchical Structures:
-<br class="newline">Package, Environments, Scopes, and Text</h3>
-<!--l. 13--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">19.1 </span> <a
- id="x20-19300019.1"></a>Overview</h4>
-<!--l. 15--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;uses two kinds of hierarchical structuring: First, the package itself is structured hierarchically, consisting of
-different packages that are built on top of each other. Second, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;allows you to structure your graphics
-hierarchically using environments and scopes.
-<!--l. 20--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.1.1 </span> <a
- id="x20-19400019.1.1"></a>The Hierarchical Structure of the Package</h5>
-<!--l. 22--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system consists of several layers:
-<!--l. 24--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="cmbx-10">System layer.</span> </dt><dd
-class="description">The lowest layer is called the <span
-class="cmti-10">system layer</span>, though it might also be called &#8220;driver layer&#8221;
- or perhaps &#8220;backend layer.&#8221; Its job is to provide an abstraction of the details of which driver is used
- to transform the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file. The system layer is implemented by the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys</span></span></span>, which will load
- appropriate driver files as needed.
- <!--l. 33--><p class="noindent">The system layer is documented in Part&nbsp;<a
-href="pgfmanual.html#x1-306000V">V<!--tex4ht:ref: part-system --></a>.
- </dd><dt class="description">
-<span
-class="cmbx-10">Basic layer.</span> </dt><dd
-class="description">The basic layer is loaded by the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>. Some applications do not need all of the
- functionality of the basic layer, so it is possible to load only the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span> and some other packages
- starting with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbase</span></span></span>.
- <!--l. 40--><p class="noindent">The basic layer is documented in the present part.
- </dd><dt class="description">
-<span
-class="cmbx-10">Frontend layer.</span> </dt><dd
-class="description">The frontend layer is not loaded by a single packages. Rather, different packages, like
- Ti<span
-class="cmti-10">k</span>Z&nbsp;or <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small><small
-class="small-caps">P</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">T</small>2<small
-class="small-caps">E</small></span>, are different frontends to the basic layer.
- <!--l. 46--><p class="noindent">The Ti<span
-class="cmti-10">k</span>Z&nbsp;frontend is documented in Part&nbsp;<a
-href="pgfmanual.html#x1-65000II">II<!--tex4ht:ref: part-tikz --></a>.</dd></dl>
-<!--l. 49--><p class="indent"> Each layer will automatically load the necessary files of the layers below it.
-<!--l. 52--><p class="indent"> In addition to the packages of these layers, there are also some library packages. These packages provide
-additional definitions of things like new arrow tips or new plot handlers.
-<!--l. 56--><p class="indent"> The library packages are documented in Part&nbsp;<a
-href="pgfmanual.html#x1-158000III">III<!--tex4ht:ref: part-libraries --></a>.
-<!--l. 61--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.1.2 </span> <a
- id="x20-19500019.1.2"></a>The Hierarchical Structure of Graphics</h5>
-<!--l. 63--><p class="noindent">Graphics in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;are typically structured hierarchically. Hierarchical structuring can be used to identify groups of
-graphical elements that are to be treated &#8220;in the same way.&#8221; For example, you might group together a number of
-paths, all of which are to be drawn in red. Then, when you decide later on that you like them to be drawn in, say,
-blue, all you have to do is to change the color once.
-<!--l. 71--><p class="indent"> The general mechanism underlying hierarchical structuring is known as <span
-class="cmti-10">scoping </span>in computer science. The idea is
-that all changes to the general &#8220;state&#8221; of the graphic that are done inside a scope are local to that
-scope. So, if you change the color inside a scope, this does not affect the color used outside the scope.
-Likewise, when you change the line width in a scope, the line width outside is not changed, and so
-on.
-
-
-<!--l. 79--><p class="indent"> There are different ways of starting and ending scopes of graphic parameters. Unfortunately, these scopes are
-sometimes &#8220;in conflict&#8221; with each other and it is sometimes not immediately clear which scopes apply. In essence,
-the following scoping mechanisms are available:
-<!--l. 84--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x20-195002x1"></a>The &#8220;outermost&#8221; scope supported by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;is the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. All changes to the graphic
- state done inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> are local to that picture.
- <!--l. 90--><p class="noindent">In general, it is <span
-class="cmti-10">not </span>possible to set graphic parameters globally outside any <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environments.
- Thus, you can <span
-class="cmti-10">not </span>say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetlinewidth{1pt}</span></span></span> at the beginning of your document to have a default
- line width of one point. Rather, you have to (re)set all graphic parameters inside each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
- (If this is too bothersome, try defining some macro that does the job for you.)
- </li>
- <li class="enumerate" value="2"
-><a
- id="x20-195004x2"></a>Inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> you can use a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> environment to keep changes of the graphic state
- local to that environment.
- <!--l. 101--><p class="noindent">The effect of commands that change the graphic state are local to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> but not
- always to the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group. Thus, if you open a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group (some text in curly braces) inside a
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>, and if you change, for example, the dash pattern, the effect of this changed dash pattern
- will persist till the end of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>.
- <!--l. 108--><p class="noindent">Unfortunately, this is not always the case. <span
-class="cmti-10">Some </span>graphic parameters only persist till the end of
- the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group. For example, when you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetarrows</span></span></span> to set the arrow tip inside a
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group, the effect lasts only till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x20-195006x3"></a>Some graphic parameters are not scoped by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> but &#8220;already&#8221; by <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups. For example,
- the effect of coordinate transformation commands is always local to the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group.
- <!--l. 119--><p class="noindent">Since every <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> automatically creates a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group, all graphic parameters that are local to
- the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group are also local to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x20-195008x4"></a>Some graphic parameters can only be scoped using <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups, since in some situations it is not
- possible to introduce a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. For example, a path always has to be completely constructed and
- used in the same <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. However, we might wish to have different coordinate transformations
- apply to different points on the path. In this case, we can use <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups to keep the effect local, but
- we could not use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x20-195010x5"></a>The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> command can be used to create a scope in which <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;&#8220;escapes back&#8221; to normal
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode. The text passed to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> is &#8220;heavily guarded&#8221; against having any effect on the
- scope in which it is used. For example, it is possibly to use another <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment inside
- the argument of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span>.</li></ol>
-<!--l. 140--><p class="indent"> Most of the complications can be avoided if you stick to the following rules:
- <ul class="itemize1">
- <li class="itemize">Give graphic commands only inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environments.
- </li>
- <li class="itemize">Use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> to structure graphics.
- </li>
- <li class="itemize">Do not use <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups inside graphics, <span
-class="cmti-10">except </span>for keeping the effect of coordinate transformations
- local.</li></ul>
-<!--l. 155--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">19.2 </span> <a
- id="x20-19600019.2"></a>The Hierarchical Structure of the Package</h4>
-<!--l. 157--><p class="noindent">Before we come to the structuring commands provided by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to structure your graphics, let us first have a look at
-the structure of the package itself.
-
-
-<!--l. 161--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.2.1 </span> <a
- id="x20-19700019.2.1"></a>The Main Package</h5>
-<!--l. 163--><p class="noindent">To use <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, include the following package:
-<!--l. 165--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox168"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgf</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx20-197001"></a>
-<a
- id="dx20-197002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox169"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgf</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox170"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgf</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 166--><p class="noindent">This package loads the complete &#8220;basic layer&#8221; of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. That is, it will load all of the commands described
- in the current part of this manual, but it will not load frontends like Ti<span
-class="cmti-10">k</span>Z.
- <!--l. 170--><p class="noindent">In detail, this package will load the following packages, each of which can also be loaded individually:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys</span></span></span>, which is the lowest layer of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and which is always needed. This file will read <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf.cfg</span></span></span>
- to discern which driver is to be used. See Section&nbsp;<a
-href="pgfmanualse32.html#x33-30800032.1">32.1<!--tex4ht:ref: section-pgfsys --></a> for details.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>, which is the central core of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and which is always needed unless you intend to write
- a new basic layer from scratch.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span>, which provides commands for declaring and using images. An example is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseshapes</span></span></span>, which provides commands for declaring and using shapes. An example is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclareshape</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span>, which provides commands for plotting functions.</li></ul>
- <!--l. 192--><p class="noindent">Including any of the last three packages will automatically load the first two. </dd></dl>
-<!--l. 196--><p class="indent"> In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>, the package takes two options:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox171"><span
-class="cmtt-10">\usepackage[</span><span
-class="cmtt-10">draft</span><span
-class="cmtt-10">]{pgf}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-197003"></a>
-<a
- id="dx20-197004"></a>
- <!--l. 198--><p class="noindent">When this option is set, all images will be replaced by empty rectangles. This can speedup compilation.
- </dd></dl>
-<!--l. 202--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox172"><span
-class="cmtt-10">\usepackage[</span><span
-class="cmtt-10">version=</span><span
-class="cmsy-10">&lt;</span><span
-class="cmitt-10">version</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{pgf}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-197005"></a>
-<a
- id="dx20-197006"></a>
- <!--l. 203--><p class="noindent">Indicates that the commands of version <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">version</span><span
-class="cmsy-10">&gt; </span>need to be defined. If you set <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">version</span><span
-class="cmsy-10">&gt; </span>to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.65</span></span></span>,
- then a large bunch of &#8220;compatibility commands&#8221; are loaded. If you set <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">version</span><span
-class="cmsy-10">&gt; </span>to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.96</span></span></span>, then these
- compatibility commands will not be loaded.
- <!--l. 208--><p class="noindent">If this option is not given at all, then the commands of all versions are defined. </dd></dl>
-
-
-<!--l. 213--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.2.2 </span> <a
- id="x20-19800019.2.2"></a>The Core Package</h5>
-<!--l. 215--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox173"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfcore</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx20-198001"></a>
-<a
- id="dx20-198002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox174"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfcore</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox175"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfcore</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 216--><p class="noindent">This package defines all of the basic layer&#8217;s commands, except for the commands defined in the
- additional packages like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span>. Typically commands defined by the core include <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span>
- or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint</span></span></span>. The core is internally structured into several subpackages, but the subpackages cannot
- be loaded individually since they are all &#8220;interrelated.&#8221; </dd></dl>
-<!--l. 225--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.2.3 </span> <a
- id="x20-19900019.2.3"></a>The Optional Basic Layer Packages</h5>
-<!--l. 227--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span> package automatically loads the following packages, but you can also load them individually (all of them
-automatically include the core):
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseshapes</span></span></span> This package provides commands for drawing nodes and shapes. These commands are
- explained in Section&nbsp;<a
-href="pgfmanualse25.html#x26-26000025">25<!--tex4ht:ref: section-shapes --></a>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span> This package provides commands for plotting function. The commands are explained in
- Section&nbsp;<a
-href="pgfmanualse29.html#x30-29000029">29<!--tex4ht:ref: section-plots --></a>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span> This package provides commands for including (external) images. The commands are
- explained in Section&nbsp;<a
-href="pgfmanualse27.html#x28-28100027">27<!--tex4ht:ref: section-images --></a>.</li></ul>
-<!--l. 249--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">19.3 </span> <a
- id="x20-20000019.3"></a>The Hierarchical Structure of the Graphics</h4>
-<!--l. 251--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.3.1 </span> <a
- id="x20-20100019.3.1"></a>The Main Environment</h5>
-<!--l. 254--><p class="noindent">Most, but not all, commands of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package must be given within a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. The only
-commands that (must) be given outside are commands having to do with including images (like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage</span></span></span>) and
-with inserting complete shadings (like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseshading</span></span></span>). However, just to keep life entertaining, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshadepath</span></span></span>
-command must be given <span
-class="cmti-10">inside </span>a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment.
-<!--l. 262--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox176"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgfpicture</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox177"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
-
-
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox178"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgfpicture</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-201001"></a>
-<a
- id="dx20-201002"></a>
- <!--l. 263--><p class="noindent">This environment will insert a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;box containing the graphic drawn by the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span>
- at the current position.
- <!--l. 267--><p class="noindent"><span
-class="cmbx-10">The size of the bounding box. </span>The size of the box is determined in the following manner: While
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;parses the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span>, it keeps track of a bounding box for the graphic. Essentially,
- this bounding box is the smallest box that contains all coordinates mentioned in the graphics. Some
- coordinates may be &#8220;mentioned&#8221; by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;itself; for example, when you add circle to the current path,
- the support points of the curve making up the circle are also &#8220;mentioned&#8221; despite the fact that you
- will not &#8220;see&#8221; them in your code.
- <!--l. 278--><p class="noindent">Once the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt; </span>has been parsed completely, a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;box is created whose size is the
- size of the computed bounding box and this box is inserted at the current position.
- <!--l. 282--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-398-" ><colgroup id="TBL-398-1g"><col
-id="TBL-398-1"><col
-id="TBL-398-2"></colgroup><tr
- valign="baseline" id="TBL-398-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-398-1-1"
-class="td11"> &nbsp;Hello <object data="pgfmanual-472.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> World!&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-398-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Hello</span><span
-class="cmtt-8">&nbsp;\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span><span
-class="cmtt-8">&nbsp;World!</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 289--><p class="noindent">Sometimes, you may need more fine-grained control over the size of the bounding box. For example, the
- computed bounding box may be too large or you intensionally wish the box to be &#8220;too small.&#8221; In
- these cases, you can use the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath{use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box}</span></span></span>, as described in
- Section&nbsp;<a
-href="pgfmanualse23.html#x24-25100023.5">23.5<!--tex4ht:ref: section-using-bb --></a>.
- <!--l. 298--><p class="noindent"><span
-class="cmbx-10">The baseline of the bounding box. </span>When the box containing the graphic is inserted into the normal text,
- the baseline of the graphic is normally at the bottom of the graphic. For this reason, the following two sets of
- code lines have the same effect, despite the fact that the second graphic uses &#8220;higher&#8221; coordinates than the
- first:
- <!--l. 305--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-399-" ><colgroup id="TBL-399-1g"><col
-id="TBL-399-1"><col
-id="TBL-399-2"></colgroup><tr
- valign="baseline" id="TBL-399-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-399-1-1"
-class="td11"> &nbsp;Rectangles <object data="pgfmanual-473.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and <object data="pgfmanual-474.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-399-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Rectangles</span><span
-class="cmtt-8">&nbsp;\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{0ex}{1ex}}{\pgfpoint{2ex}{1ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}.</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 315--><p class="noindent">You can change the baseline using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetbaseline</span></span></span> command, see below.
- <!--l. 318--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-400-" ><colgroup id="TBL-400-1g"><col
-id="TBL-400-1"><col
-id="TBL-400-2"></colgroup><tr
- valign="baseline" id="TBL-400-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-400-1-1"
-class="td11"> &nbsp;Rectangles <object data="pgfmanual-475.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and <object data="pgfmanual-476.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-400-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Rectangles</span><span
-class="cmtt-8">&nbsp;\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetbaseline{0pt}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{0ex}{1ex}}{\pgfpoint{2ex}{1ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetbaseline{0pt}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}.</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 331--><p class="noindent"><span
-class="cmbx-10">Including text and images in a picture. </span>You cannot directly include text and images in a
- picture. Thus, you should <span
-class="cmti-10">not </span>simply write some text in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> or use a command like
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\includegraphics</span></span></span> or even <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfimage</span></span></span>. In all these cases, you need to place the text inside a
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> command. This will &#8220;escape back&#8221; to normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode, see Section&nbsp;<a
-href="#x20-20300019.3.3">19.3.3<!--tex4ht:ref: section-text-command --></a> for details.
- </dd></dl>
-<!--l. 340--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox179"><span
-class="cmtt-10">\pgfpicture</span></span> </dt><dd
-class="description">
-
-
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox180"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox181"><span
-class="cmtt-10">\endpgfpicture</span></span> </dt><dd
-class="description">
-<a
- id="dx20-201003"></a>
-<a
- id="dx20-201004"></a>
- <!--l. 341--><p class="noindent">The plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;version of the environment. Note that in this version, also, a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group is created
- around the environment. </dd></dl>
-<!--l. 346--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox182"><span
-class="cmtt-10">\pgfsetbaseline</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-201005"></a>
- <!--l. 347--><p class="noindent">This command specifies a <span
-class="cmmi-10">y</span>-coordinate of the picture that should be used as the baseline of the
- whole picture. When a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;picture has been typeset completely, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;must decide at which height the
- baseline of the picture should lie. Normally, the baseline is set to the <span
-class="cmmi-10">y</span>-coordinate of the bottom of the
- picture, but it is often desirable to use another height.
- <!--l. 354--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-401-" ><colgroup id="TBL-401-1g"><col
-id="TBL-401-1"><col
-id="TBL-401-2"></colgroup><tr
- valign="baseline" id="TBL-401-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-401-1-1"
-class="td11"> &nbsp;Text <object data="pgfmanual-477.svg" width="13.01471 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>, <object data="pgfmanual-478.svg" width="13.01471 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>, <object data="pgfmanual-479.svg" width="13.01471 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>, <object data="pgfmanual-480.svg" width="13.01471 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-401-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Text</span><span
-class="cmtt-8">&nbsp;\tikz{\pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}},</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz{\pgfsetbaseline{0pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}},</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz{\pgfsetbaseline{.5ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}},</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz{\pgfsetbaseline{-1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}}.</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 365--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.3.2 </span> <a
- id="x20-20200019.3.2"></a>Graphic Scope Environments</h5>
-<!--l. 367--><p class="noindent">Inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment you can substructure your picture using the following environment:
-<!--l. 370--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox183"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgfscope</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox184"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox185"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgfscope</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-202001"></a>
-<a
- id="dx20-202002"></a>
- <!--l. 371--><p class="noindent">All changes to the graphic state done inside this environment are local to the environment. The graphic state
- includes the following:
- <ul class="itemize1">
- <li class="itemize">The line width.
- </li>
- <li class="itemize">The stroke and fill colors.
- </li>
- <li class="itemize">The dash pattern.
- </li>
- <li class="itemize">The line join and cap.
- </li>
- <li class="itemize">The miter limit.
-
-
- </li>
- <li class="itemize">The canvas transformation matrix.
- </li>
- <li class="itemize">The clipping path.</li></ul>
- <!--l. 389--><p class="noindent">Other parameters may also influence how graphics are rendered, but they are <span
-class="cmti-10">not </span>part of the graphic state.
- For example, the arrow tip kind is not part of the graphic state and the effect of commands setting the arrow
- tip kind are local to the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group, not to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. However, since <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>
- starts and ends a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group automatically, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> can be used to limit the effect of, say, commands
- that set the arrow tip kind.
- <!--l. 397--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-402-" ><colgroup id="TBL-402-1g"><col
-id="TBL-402-1"><col
-id="TBL-402-2"></colgroup><tr
- valign="baseline" id="TBL-402-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-402-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-481.svg" width="48.52559 " height="15.14806 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-402-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfscope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{2ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{3ex}{0ex}}{\pgfpoint{2ex}{2ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfscope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{6ex}{0ex}}{\pgfpoint{2ex}{2ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 413--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-403-" ><colgroup id="TBL-403-1g"><col
-id="TBL-403-1"><col
-id="TBL-403-2"></colgroup><tr
- valign="baseline" id="TBL-403-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-403-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-482.svg" width="47.45892 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-403-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfscope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrows{-to}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}\pgfpathlineto{\pgfpoint{2ex}{2ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{3ex}{0ex}}\pgfpathlineto{\pgfpoint{5ex}{2ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfscope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{6ex}{0ex}}\pgfpathlineto{\pgfpoint{8ex}{2ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 429--><p class="noindent">At the start of the scope, the current path must be empty, that is, you cannot open a scope while constructing
- a path.
- <!--l. 432--><p class="noindent">It is usually a good idea <span
-class="cmti-10">not </span>to introduce <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> environment. </dd></dl>
-<!--l. 436--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox186"><span
-class="cmtt-10">\pgfscope</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox187"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox188"><span
-class="cmtt-10">\endpgfscope</span></span> </dt><dd
-class="description">
-<a
- id="dx20-202003"></a>
-<a
- id="dx20-202004"></a>
- <!--l. 437--><p class="noindent">Plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;version of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> environment. </dd></dl>
-<!--l. 441--><p class="indent"> The following scopes also encapsulate certain properties of the graphic state. However, they are typically not
-used directly by the user.
-<!--l. 445--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox189"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgfinterruptpath</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-
-
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox190"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox191"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgfinterruptpath</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-202005"></a>
-<a
- id="dx20-202006"></a>
- <!--l. 446--><p class="noindent">This environment can be used to temporarily interrupt the construction of the current path. The effect
- will be that the path currently under construction will be &#8220;stored away&#8221; and restored at the end of
- the environment. Inside the environment you can construct a new path and do something with it.
- <!--l. 452--><p class="noindent">An example application of this environment is the arrow tip caching. Suppose you ask <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to use a
- specific arrow tip kind. When the arrow tip needs to be rendered for the first time, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will &#8220;cache&#8221;
- the path that makes up the arrow tip. To do so, it interrupts the current path construction and then
- protocols the path of the arrow tip. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfinterruptpath}</span></span></span> environment is used to ensure that this
- does not interfere with the path to which the arrow tips should be attached.
- <!--l. 461--><p class="noindent">This command does <span
-class="cmti-10">not </span>install a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. In particular, it does not call any <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands
- at all, which would, indeed, be dangerous in the middle of a path construction. </dd></dl>
-<!--l. 466--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox192"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgfinterruptpicture</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox193"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox194"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgfinterruptpicture</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-202007"></a>
-<a
- id="dx20-202008"></a>
- <!--l. 467--><p class="noindent">This environment can be used to temporarily interrupt a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. However, the environment is
- intended only to be used at the beginning and end of a box that is (later) inserted into a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>
- using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfqbox</span></span></span>. You cannot use this environment directly inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
- <!--l. 473--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-404-" ><colgroup id="TBL-404-1g"><col
-id="TBL-404-1"><col
-id="TBL-404-2"></colgroup><tr
- valign="baseline" id="TBL-404-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-404-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-484.svg" width="1.53331 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-404-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0cm}{0cm}}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;In</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;middle</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;path,</span><span
-class="cmsltt-10x-x-80">&nbsp;now</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\newbox\mybox</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\setbox\mybox=\hbox{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfinterruptpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;Sub-\begin{pgfpicture}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;subpicture</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfpicture}-picture.</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfinterruptpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfqbox{\mybox}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{0cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}\hskip3.9cm</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 494--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">19.3.3 </span> <a
- id="x20-20300019.3.3"></a>Inserting Text and Images</h5>
-<!--l. 498--><p class="noindent">Often, you may wish to add normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;text at a certain point inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. You cannot do so
-&#8220;directly,&#8221; that is, you cannot simply write this text inside the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. Rather, you must pass
-the text as an argument to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> command.
-
-
-<!--l. 503--><p class="indent"> You must <span
-class="cmti-10">also </span>use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> command to insert an image or a shading into a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
-<!--l. 506--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox195"><span
-class="cmtt-10">\pgftext</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx20-203001"></a>
- <!--l. 507--><p class="noindent">This command will typeset <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>in normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode and insert the resulting box into the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. The bounding box of the graphic will be updated so that all of the text box is inside.
- Be default, the text box is centered at the origin, but this can be changed either by giving appropriate
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>or by applying an appropriate coordinate transformation beforehand.
- <!--l. 514--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>may contain verbatim text. (In other words, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>&#8220;argument&#8221; is not a normal argument,
- but is put in a box and some <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\aftergroup</span></span></span> hackery is used to find the end of the box.)
- <!--l. 519--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s current (high-level) coordinate transformation is synchronized with the canvas transformation
- matrix temporarily when the text box is inserted. The effect is that if there is currently a high-level
- rotation of, say, 30 degrees, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>will also be rotated by thirty degrees. If you do not want this
- effect, you have to (possibly temporarily) reset the high-level transformation matrix.
- <!--l. 527--><p class="noindent">The following <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>may be given as conveniences:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">left</span><a
- id="dx20-203002"></a><a
- id="dx20-203003"></a> causes the text box to be placed such that its left border is on the origin.
- <!--l. 531--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-405-" ><colgroup id="TBL-405-1g"><col
-id="TBL-405-1"><col
-id="TBL-405-2"></colgroup><tr
- valign="baseline" id="TBL-405-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-405-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-485.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-405-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[left]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">right</span><a
- id="dx20-203004"></a><a
- id="dx20-203005"></a> causes the text box to be placed such that its right border is on the origin.
- <!--l. 537--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-406-" ><colgroup id="TBL-406-1g"><col
-id="TBL-406-1"><col
-id="TBL-406-2"></colgroup><tr
- valign="baseline" id="TBL-406-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-406-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-486.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-406-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[right]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">top</span><a
- id="dx20-203006"></a><a
- id="dx20-203007"></a> causes the text box to be placed such that its top is on the origin. This option can be used together
- with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">left</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">right</span></span></span> option.
- <!--l. 545--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-407-" ><colgroup id="TBL-407-1g"><col
-id="TBL-407-1"><col
-id="TBL-407-2"></colgroup><tr
- valign="baseline" id="TBL-407-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-407-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-487.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-407-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[top]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 549--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-408-" ><colgroup id="TBL-408-1g"><col
-id="TBL-408-1"><col
-id="TBL-408-2"></colgroup><tr
- valign="baseline" id="TBL-408-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-408-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-488.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-408-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[top,right]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">bottom</span><a
- id="dx20-203008"></a><a
- id="dx20-203009"></a> causes the text box to be placed such that its bottom is on the origin.
- <!--l. 556--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-409-" ><colgroup id="TBL-409-1g"><col
-id="TBL-409-1"><col
-id="TBL-409-2"></colgroup><tr
- valign="baseline" id="TBL-409-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-409-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-489.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-409-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[bottom]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 560--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-410-" ><colgroup id="TBL-410-1g"><col
-id="TBL-410-1"><col
-id="TBL-410-2"></colgroup><tr
- valign="baseline" id="TBL-410-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-410-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-490.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-410-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[bottom,right]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">base</span><a
- id="dx20-203010"></a><a
- id="dx20-203011"></a> causes the text box to be placed such that its baseline is on the origin.
- <!--l. 567--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-411-" ><colgroup id="TBL-411-1g"><col
-id="TBL-411-1"><col
-id="TBL-411-2"></colgroup><tr
- valign="baseline" id="TBL-411-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-411-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-491.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-411-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[base]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 571--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-412-" ><colgroup id="TBL-412-1g"><col
-id="TBL-412-1"><col
-id="TBL-412-2"></colgroup><tr
- valign="baseline" id="TBL-412-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-412-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-492.svg" width="77.14032 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-412-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[base,right]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">at</span><a
- id="dx20-203012"></a><a
- id="dx20-203013"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>Translates the origin (that is, the point where the text is shown) to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 578--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-413-" ><colgroup id="TBL-413-1g"><col
-id="TBL-413-1"><col
-id="TBL-413-2"></colgroup><tr
- valign="baseline" id="TBL-413-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-413-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-493.svg" width="93.67365 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-413-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[base,at={\pgfpoint{1cm}{0cm}}]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">x</span><a
- id="dx20-203014"></a><a
- id="dx20-203015"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Translates the origin by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>along the <span
-class="cmmi-10">x</span>-axis.
- <!--l. 584--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-414-" ><colgroup id="TBL-414-1g"><col
-id="TBL-414-1"><col
-id="TBL-414-2"></colgroup><tr
- valign="baseline" id="TBL-414-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-414-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-494.svg" width="93.67365 " height="39.20346 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-414-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[base,x=1cm,y=-0.5cm]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">y</span><a
- id="dx20-203016"></a><a
- id="dx20-203017"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>works like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> option.
- </li>
- <li class="itemize"><span
-class="cmtt-10">rotate</span><a
- id="dx20-203018"></a><a
- id="dx20-203019"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt; </span>Rotates the coordinate system by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt;</span>. This will also rotate the text
- box.
- <!--l. 593--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-415-" ><colgroup id="TBL-415-1g"><col
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-id="TBL-415-2"></colgroup><tr
- valign="baseline" id="TBL-415-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-415-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-495.svg" width="90.14452 " height="45.15823 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-415-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz{\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-.5)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[base,x=1cm,y=-0.5cm,rotate=30]</span><span
-class="cmtt-8">&nbsp;{lovely}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse20.html" >next</a>] [<a
-href="pgfmanualse18.html" >prev</a>] [<a
-href="pgfmanualse18.html#tailpgfmanualse18.html" >prev-tail</a>] [<a
-href="pgfmanualse19.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse19.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse19.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>2 Installation</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse3.html" >next</a>] [<a
-href="pgfmanualse1.html" >prev</a>] [<a
-href="pgfmanualse1.html#tailpgfmanualse1.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse2.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse2.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">2 </span> <a
- id="x3-90002"></a>Installation</h3>
-<!--l. 10--><p class="noindent">There are different ways of installing <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, depending on your system and needs, and you may need to install other
-packages as well as, see below. Before installing, you may wish to review the <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small> </span>license under which the package is
-distributed, see Section&nbsp;<a
-href="#x3-180002.5">2.5<!--tex4ht:ref: section-license --></a>.
-<!--l. 16--><p class="indent"> Typically, the package will already be installed on your system. Naturally, in this case you do not need to worry
-about the installation process at all and you can skip the rest of this section.
-<!--l. 22--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">2.1 </span> <a
- id="x3-100002.1"></a>Package and Driver Versions</h4>
-<!--l. 24--><p class="noindent">This documentation is part of version 1.01&nbsp;of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package. In order to run <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, you need a reasonably recent
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;installation. When using <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>, you need the following packages installed (newer versions should also
-work):
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> version 2.00.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xkeyval</span></span></span> version 1.8, if you wish to use Ti<span
-class="cmti-10">k</span>Z.</li></ul>
-<!--l. 34--><p class="noindent">With plain <span class="TEX">T<span
-class="E">E</span>X</span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> is not needed, but you obviously do not get its (full) functionality.
-<!--l. 37--><p class="indent"> Currently, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;supports the following backend drivers:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> version 0.14 or higher. Earlier versions do not work.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span> version 5.94a or higher. Earlier versions may also work.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span> version 0.13.2c or higher. Earlier versions may also work.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex4ht</span></span></span> version 2003-05-05 or higher. Earlier versions may also work.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">vtex</span></span></span> version 8.46a or higher. Earlier versions may also work.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">textures</span></span></span> version 2.1 or higher. Earlier versions may also work.</li></ul>
-<!--l. 53--><p class="indent"> Currently, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;supports the following formats:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span> with complete functionality.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plain</span></span></span> with complete functionality, except for graphics inclusion, which works only for pdf<span class="TEX">T<span
-class="E">E</span>X</span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">context</span></span></span> should work as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plain</span></span></span>, but I have not tried it.</li></ul>
-<!--l. 64--><p class="indent"> For more details, see Section&nbsp;<a
-href="pgfmanualse5.html#x6-550005">5<!--tex4ht:ref: section-formats --></a>.
-
-
-<!--l. 68--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">2.2 </span> <a
- id="x3-110002.2"></a>Installing Prebundled Packages</h4>
-<!--l. 70--><p class="noindent">I do not create or manage prebundled packages of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, but, fortunately, nice other people do. I cannot give detailed
-instructions on how to install these packages, since I do not manage them, but I <span
-class="cmti-10">can </span>tell you were to find them. If
-you have a problem with installing, you might wish to have a look at the Debian page or the Mik<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;page
-first.
-<!--l. 78--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.2.1 </span> <a
- id="x3-120002.2.1"></a>Debian</h5>
-<!--l. 80--><p class="noindent">The command &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">aptitude</span><span
-class="cmtt-10">&nbsp;install</span><span
-class="cmtt-10">&nbsp;pgf</span></span></span>&#8221; should do the trick. Sit back and relax. In detail, the following packages
-are installed:
-
-
- <table width="100%"
-class="verbatim"><tr class="verbatim"><td
-class="verbatim"><div class="verbatim">
-http://packages.debian.org/pgf
-&nbsp;<br />http://packages.debian.org/latex-xcolor
-</div>
-</td></tr></table>
-<!--l. 85--><p class="nopar">
-<!--l. 88--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.2.2 </span> <a
- id="x3-130002.2.2"></a>MiKTeX</h5>
-<!--l. 90--><p class="noindent">For MiK<span class="TEX">T<span
-class="E">E</span>X</span>, use the update wizard to install the (latest versions of the) packages called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span>, and
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xkeyval</span></span></span>.
-<!--l. 96--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">2.3 </span> <a
- id="x3-140002.3"></a>Installation in a texmf Tree</h4>
-<!--l. 98--><p class="noindent">For a permanent installation, you place the files of the the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small> </span>package in an appropriate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> tree.
-<!--l. 101--><p class="indent"> When you ask <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;to use a certain class or package, it usually looks for the necessary files in so-called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span>
-trees. These trees are simply huge directories that contain these files. By default, <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;looks for files in three
-different <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> trees:
- <ul class="itemize1">
- <li class="itemize">The root <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> tree, which is usually located at <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/usr/share/texmf/</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">c:\texmf\</span></span></span> or somewhere
- similar.
- </li>
- <li class="itemize">The local <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> tree, which is usually located at <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/usr/local/share/texmf/</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">c:\localtexmf\</span></span></span> or
- somewhere similar.
- </li>
- <li class="itemize">Your personal <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> tree, which is usually located in your home directory at <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">~/texmf/</span></span></span> or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">~/Library/texmf/</span></span></span>.</li></ul>
-<!--l. 117--><p class="indent"> You should install the packages either in the local tree or in your personal tree, depending on whether you have
-write access to the local tree. Installation in the root tree can cause problems, since an update of the whole
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;installation will replace this whole tree.
-<!--l. 123--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.3.1 </span> <a
- id="x3-150002.3.1"></a>Installation that Keeps Everything Together</h5>
-<!--l. 125--><p class="noindent">Once you have located the right texmf tree, you must decide whether you want to install <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;in such a way that
-&#8220;all its files are kept in one place&#8221; or whether you want to be &#8220;<span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant,&#8221; where <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small> </span>means &#8220;<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;directory
-structure.&#8221;
-<!--l. 131--><p class="indent"> If you want to keep &#8220;everything in one place,&#8221; inside the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf</span></span></span> tree that you have chosen create a
-sub-sub-directory called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/generic/pgf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/generic/pgf-</span></span></span><span
-class="cmtt-10">1.01</span>, if you prefer. Then place all
-files of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span> package in this directory. Finally, rebuild <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s filename database. This is done by running
-the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texhash</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mktexlsr</span></span></span> (they are the same). In Mik<span class="TEX">T<span
-class="E">E</span>X</span>, there is a menu option to do
-this.
-<!--l. 141--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.3.2 </span> <a
- id="x3-160002.3.2"></a>Installation that is TDS-Compliant</h5>
-<!--l. 143--><p class="noindent">While the above installation process is the most &#8220;natural&#8221; one and although I would like to recommend it since it
-makes updating and managing the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package easy, it is not <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant. If you want to be <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant,
-proceed as follows: (If you do not know what <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant means, you probably do not want to be
-<span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant.)
-
-
-<!--l. 150--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tar</span></span></span> file of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span> package contains the following files and directories at its root: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">README</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">doc</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">generic</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plain</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span>. You should &#8220;merge&#8221; each of the four directories with the following directories <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/doc</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/generic</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/plain</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/latex</span></span></span>. For example, in the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tar</span></span></span> file the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">doc</span></span></span> directory
-contains just the directory <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>, and this directory has to be moved to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/doc/pgf</span></span></span>. The root <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">README</span></span></span> file can be
-ignored since it is reproduced in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">doc/pgf/README</span></span></span>.
-<!--l. 159--><p class="indent"> You may also consider keeping everything in one place and using symbolic links to point from the <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant
-directories to the central installation.
-<!--l. 164--><p class="indent"> For a more detailed explanation of the standard installation process of packages, you might wish to consult
-<span
-class="cmtt-10">http://www.ctan.org/installationadvice/</span>. However, note that the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package does not come with a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ins</span></span></span> file
-(simply skip that part).
-<!--l. 171--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">2.4 </span> <a
- id="x3-170002.4"></a>Updating the Installation</h4>
-<!--l. 173--><p class="noindent">To update your installation from a previous version, all you need to do is to replace everything in the directory
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">texmf/tex/generic/pgf</span></span></span> with the files of the new version (or in all the directories where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span> was installed, if you
-chose a <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">D</small><small
-class="small-caps">S</small></span>-compliant installation). The easiest way to do this is to first delete the old version and then proceed as
-described above. Sometimes, there are changes in the syntax of certain command from version to version. If things
-no longer work that used to work, you may wish to have a look at the release notes and at the change
-log.
-<!--l. 9--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">2.5 </span> <a
- id="x3-180002.5"></a>License: The GNU Public License, Version 2</h4>
-<!--l. 12--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package is distributed under the <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small> </span>public license, version 2. In detail, this means the following (the
-following text is copyrighted by the Free Software Foundation):
-<!--l. 16--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.5.1 </span> <a
- id="x3-190002.5.1"></a>Preamble</h5>
-<!--l. 18--><p class="noindent">The licenses for most software are designed to take away your freedom to share and change it. By contrast, the <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small></span>
-General Public License is intended to guarantee your freedom to share and change free software--to make sure the
-software is free for all its users. This General Public License applies to most of the Free Software Foundation&#8217;s
-software and to any other program whose authors commit to using it. (Some other Free Software Foundation
-software is covered by the <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small> </span>Library General Public License instead.) You can apply it to your programs,
-too.
-<!--l. 27--><p class="indent"> When we speak of free software, we are referring to freedom, not price. Our General Public Licenses are
-designed to make sure that you have the freedom to distribute copies of free software (and charge
-for this service if you wish), that you receive source code or can get it if you want it, that you can
-change the software or use pieces of it in new free programs; and that you know you can do these
-things.
-<!--l. 34--><p class="indent"> To protect your rights, we need to make restrictions that forbid anyone to deny you these rights or to ask you to
-surrender the rights. These restrictions translate to certain responsibilities for you if you distribute copies of the
-software, or if you modify it.
-<!--l. 39--><p class="indent"> For example, if you distribute copies of such a program, whether gratis or for a fee, you must give the recipients
-all the rights that you have. You must make sure that they, too, receive or can get the source code. And you must
-show them these terms so they know their rights.
-<!--l. 44--><p class="indent"> We protect your rights with two steps: (1) copyright the software, and (2) offer you this license which gives you
-legal permission to copy, distribute and/or modify the software.
-<!--l. 48--><p class="indent"> Also, for each author&#8217;s protection and ours, we want to make certain that everyone understands that there is no
-warranty for this free software. If the software is modified by someone else and passed on, we want its recipients to
-know that what they have is not the original, so that any problems introduced by others will not reflect on the
-original authors&#8217; reputations.
-<!--l. 55--><p class="indent"> Finally, any free program is threatened constantly by software patents. We wish to avoid the danger that
-redistributors of a free program will individually obtain patent licenses, in effect making the program proprietary. To
-prevent this, we have made it clear that any patent must be licensed for everyone&#8217;s free use or not licensed at
-all.
-
-
-<!--l. 61--><p class="indent"> The precise terms and conditions for copying, distribution and modification follow.
-<!--l. 65--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.5.2 </span> <a
- id="x3-200002.5.2"></a>Terms and Conditions For Copying, Distribution and Modification</h5>
-<!--l. 67--><p class="noindent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="0"
-><a
- id="x3-20002x0"></a>This License applies to any program or other work which contains a notice placed by the copyright
- holder saying it may be distributed under the terms of this General Public License. The &#8220;Program&#8221;,
- below, refers to any such program or work, and a &#8220;work based on the Program&#8221; means either the
- Program or any derivative work under copyright law: that is to say, a work containing the Program
- or a portion of it, either verbatim or with modifications and/or translated into another language.
- (Hereinafter, translation is included without limitation in the term &#8220;modification&#8221;.) Each licensee is
- addressed as &#8220;you&#8221;.
- <!--l. 82--><p class="noindent">Activities other than copying, distribution and modification are not covered by this License; they are
- outside its scope. The act of running the Program is not restricted, and the output from the Program
- is covered only if its contents constitute a work based on the Program (independent of having been
- made by running the Program). Whether that is true depends on what the Program does.
- </li>
- <li class="enumerate" value="1"
-><a
- id="x3-20004x1"></a>You may copy and distribute verbatim copies of the Program&#8217;s source code as you receive it, in any
- medium, provided that you conspicuously and appropriately publish on each copy an appropriate
- copyright notice and disclaimer of warranty; keep intact all the notices that refer to this License and
- to the absence of any warranty; and give any other recipients of the Program a copy of this License
- along with the Program.
- <!--l. 96--><p class="noindent">You may charge a fee for the physical act of transferring a copy, and you may at your option offer
- warranty protection in exchange for a fee.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x3-20006x2"></a>You may modify your copy or copies of the Program or any portion of it, thus forming a work based on
- the Program, and copy and distribute such modifications or work under the terms of Section 1 above,
- provided that you also meet all of these conditions:
- <!--l. 105--><p class="noindent">
- <ol type="a" class="enumerate2" >
- <li class="enumerate" value="1"
-><a
- id="x3-20008x1"></a>You must cause the modified files to carry prominent notices stating that you changed the files
- and the date of any change.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x3-20010x2"></a>You must cause any work that you distribute or publish, that in whole or in part contains or is
- derived from the Program or any part thereof, to be licensed as a whole at no charge to all third
- parties under the terms of this License.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x3-20012x3"></a>If the modified program normally reads commands interactively when run, you must cause it,
- when started running for such interactive use in the most ordinary way, to print or display an
- announcement including an appropriate copyright notice and a notice that there is no warranty (or
- else, saying that you provide a warranty) and that users may redistribute the program under these
- conditions, and telling the user how to view a copy of this License. (Exception: if the Program
- itself is interactive but does not normally print such an announcement, your work based on the
- Program is not required to print an announcement.)
- </li></ol>
- <!--l. 132--><p class="noindent">These requirements apply to the modified work as a whole. If identifiable sections of that work are not derived
- from the Program, and can be reasonably considered independent and separate works in themselves, then this
- License, and its terms, do not apply to those sections when you distribute them as separate works. But
- when you distribute the same sections as part of a whole which is a work based on the Program,
- the distribution of the whole must be on the terms of this License, whose permissions for other
- licensees extend to the entire whole, and thus to each and every part regardless of who wrote
- it.
-
-
- <!--l. 142--><p class="noindent">Thus, it is not the intent of this section to claim rights or contest your rights to work written entirely by you;
- rather, the intent is to exercise the right to control the distribution of derivative or collective works based on
- the Program.
- <!--l. 147--><p class="noindent">In addition, mere aggregation of another work not based on the Program with the Program (or with a work
- based on the Program) on a volume of a storage or distribution medium does not bring the other work under
- the scope of this License.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x3-20014x3"></a>You may copy and distribute the Program (or a work based on it, under Section 2) in object code or
- executable form under the terms of Sections 1 and 2 above provided that you also do one of the
- following:
- <!--l. 157--><p class="noindent">
- <ol type="a" class="enumerate2" >
- <li class="enumerate" value="1"
-><a
- id="x3-20016x1"></a>Accompany it with the complete corresponding machine-readable source code, which must be
- distributed under the terms of Sections 1 and 2 above on a medium customarily used for software
- interchange; or,
- </li>
- <li class="enumerate" value="2"
-><a
- id="x3-20018x2"></a>Accompany it with a written offer, valid for at least three years, to give any third party, for a charge
- no more than your cost of physically performing source distribution, a complete machine-readable
- copy of the corresponding source code, to be distributed under the terms of Sections 1 and 2
- above on a medium customarily used for software interchange; or,
- </li>
- <li class="enumerate" value="3"
-><a
- id="x3-20020x3"></a>Accompany it with the information you received as to the offer to distribute corresponding source
- code. (This alternative is allowed only for noncommercial distribution and only if you received
- the program in object code or executable form with such an offer, in accord with Subsubsection
- b above.)
- </li></ol>
- <!--l. 182--><p class="noindent">The source code for a work means the preferred form of the work for making modifications to it. For an
- executable work, complete source code means all the source code for all modules it contains, plus any
- associated interface definition files, plus the scripts used to control compilation and installation of the
- executable. However, as a special exception, the source code distributed need not include anything that is
- normally distributed (in either source or binary form) with the major components (compiler, kernel, and so
- on) of the operating system on which the executable runs, unless that component itself accompanies the
- executable.
- <!--l. 193--><p class="noindent">If distribution of executable or object code is made by offering access to copy from a designated place, then
- offering equivalent access to copy the source code from the same place counts as distribution of the
- source code, even though third parties are not compelled to copy the source along with the object
- code.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x3-20022x4"></a>You may not copy, modify, sublicense, or distribute the Program except as expressly provided under this
- License. Any attempt otherwise to copy, modify, sublicense or distribute the Program is void, and will
- automatically terminate your rights under this License. However, parties who have received copies, or rights,
- from you under this License will not have their licenses terminated so long as such parties remain in full
- compliance.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x3-20024x5"></a>You are not required to accept this License, since you have not signed it. However, nothing else grants you
- permission to modify or distribute the Program or its derivative works. These actions are prohibited by law if
- you do not accept this License. Therefore, by modifying or distributing the Program (or any
- work based on the Program), you indicate your acceptance of this License to do so, and all its
- terms and conditions for copying, distributing or modifying the Program or works based on
- it.
- </li>
- <li class="enumerate" value="6"
-><a
- id="x3-20026x6"></a>Each time you redistribute the Program (or any work based on the Program), the recipient automatically
- receives a license from the original licensor to copy, distribute or modify the Program subject to these terms
-
-
- and conditions. You may not impose any further restrictions on the recipients&#8217; exercise of the
- rights granted herein. You are not responsible for enforcing compliance by third parties to this
- License.
- </li>
- <li class="enumerate" value="7"
-><a
- id="x3-20028x7"></a>If, as a consequence of a court judgment or allegation of patent infringement or for any other reason (not
- limited to patent issues), conditions are imposed on you (whether by court order, agreement or otherwise)
- that contradict the conditions of this License, they do not excuse you from the conditions of
- this License. If you cannot distribute so as to satisfy simultaneously your obligations under this
- License and any other pertinent obligations, then as a consequence you may not distribute the
- Program at all. For example, if a patent license would not permit royalty-free redistribution of the
- Program by all those who receive copies directly or indirectly through you, then the only way
- you could satisfy both it and this License would be to refrain entirely from distribution of the
- Program.
- <!--l. 241--><p class="noindent">If any portion of this section is held invalid or unenforceable under any particular circumstance, the
- balance of the section is intended to apply and the section as a whole is intended to apply in other
- circumstances.
- <!--l. 246--><p class="noindent">It is not the purpose of this section to induce you to infringe any patents or other property right claims or to
- contest validity of any such claims; this section has the sole purpose of protecting the integrity of the free
- software distribution system, which is implemented by public license practices. Many people have
- made generous contributions to the wide range of software distributed through that system in
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- is willing to distribute software through any other system and a licensee cannot impose that
- choice.
- <!--l. 257--><p class="noindent">This section is intended to make thoroughly clear what is believed to be a consequence of the rest of this
- License.
- </li>
- <li class="enumerate" value="8"
-><a
- id="x3-20030x8"></a>If the distribution and/or use of the Program is restricted in certain countries either by patents or by
- copyrighted interfaces, the original copyright holder who places the Program under this License may add an
- explicit geographical distribution limitation excluding those countries, so that distribution is permitted only in
- or among countries not thus excluded. In such case, this License incorporates the limitation as if written in the
- body of this License.
- </li>
- <li class="enumerate" value="9"
-><a
- id="x3-20032x9"></a>The Free Software Foundation may publish revised and/or new versions of the General Public License from
- time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to
- address new problems or concerns.
- <!--l. 275--><p class="noindent">Each version is given a distinguishing version number. If the Program specifies a version number of this
- License which applies to it and &#8220;any later version&#8221;, you have the option of following the terms and conditions
- either of that version or of any later version published by the Free Software Foundation. If the Program does
- not specify a version number of this License, you may choose any version ever published by the Free Software
- Foundation.
- </li>
- <li class="enumerate" value="10"
-><a
- id="x3-20034x10"></a>If you wish to incorporate parts of the Program into other free programs whose distribution conditions are
- different, write to the author to ask for permission. For software which is copyrighted by the Free Software
- Foundation, write to the Free Software Foundation; we sometimes make exceptions for this. Our decision will
- be guided by the two goals of preserving the free status of all derivatives of our free software and of promoting
- the sharing and reuse of software generally.
- </li></ol>
-<!--l. 294--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">2.5.3 </span> <a
- id="x3-210002.5.3"></a>No Warranty</h5>
-<!--l. 296--><p class="noindent">
-
-
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="10"
-><a
- id="x3-21002x10"></a>Because the program is licensed free of charge, there is no warranty for the program, to the extent
- permitted by applicable law. Except when otherwise stated in writing the copyright holders and/or
- other parties provide the program &#8220;as is&#8221; without warranty of any kind, either expressed or implied,
- including, but not limited to, the implied warranties of merchantability and fitness for a particular
- purpose. The entire risk as to the quality and performance of the program is with you. Should the
- program prove defective, you assume the cost of all necessary servicing, repair or correction.
- </li>
- <li class="enumerate" value="11"
-><a
- id="x3-21004x11"></a>In no event unless required by applicable law or agreed to in writing will any copyright holder, or
- any other party who may modify and/or redistribute the program as permitted above, be liable to
- you for damages, including any general, special, incidental or consequential damages arising out of the
- use or inability to use the program (including but not limited to loss of data or data being rendered
- inaccurate or losses sustained by you or third parties or a failure of the program to operate with any
- other programs), even if such holder or other party has been advised of the possibility of such damages.</li></ol>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse3.html" >next</a>] [<a
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-<!--l. 1--><p class="indent"> <a
- id="tailpgfmanualse2.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>20 Specifying Coordinates</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
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-href="pgfmanualse21.html" >next</a>] [<a
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-href="#tailpgfmanualse20.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse20.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">20 </span> <a
- id="x21-20400020"></a>Specifying Coordinates</h3>
-<!--l. 12--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.1 </span> <a
- id="x21-20500020.1"></a>Overview</h4>
-<!--l. 14--><p class="noindent">Most <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;commands expect you to provide the coordinates of a <span
-class="cmti-10">point </span>(also called <span
-class="cmti-10">coordinate</span>) inside your picture.
-Points are always &#8220;local&#8221; to your picture, that is, they never refer to an absolute position on the page, but to a
-position inside the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. To specify a coordinate you can use commands that start
-with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint</span></span></span>.
-<!--l. 21--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.2 </span> <a
- id="x21-20600020.2"></a>Basic Coordinate Commands</h4>
-<!--l. 23--><p class="noindent">The following commands are the most basic for specifying a coordinate.
-<!--l. 26--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox196"><span
-class="cmtt-10">\pgfpoint</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-206001"></a>
- <!--l. 27--><p class="noindent">Yields a point location. The coordinates are given as <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions.
- <!--l. 30--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-416-" ><colgroup id="TBL-416-1g"><col
-id="TBL-416-1"><col
-id="TBL-416-2"></colgroup><tr
- valign="baseline" id="TBL-416-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-416-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-496.svg" width="117.6105 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-416-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{1cm}{1cm}}</span><span
-class="cmtt-8">&nbsp;{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{2cm}{5pt}}</span><span
-class="cmtt-8">&nbsp;{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{0pt}{.5in}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 41--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox197"><span
-class="cmtt-10">\pgfpointorigin</span></span> </dt><dd
-class="description">
-<a
- id="dx21-206002"></a>
- <!--l. 42--><p class="noindent">Yields the origin. Same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{0pt}{0pt}</span></span></span>. </dd></dl>
-<!--l. 45--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox198"><span
-class="cmtt-10">\pgfpointpolar</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degree</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-206003"></a>
- <!--l. 46--><p class="noindent">Yields a point location given in polar coordinates. You can specify the angle only in degrees, radians are not
- supported, currently.
-
-
- <!--l. 48--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-417-" ><colgroup id="TBL-417-1g"><col
-id="TBL-417-1"><col
-id="TBL-417-2"></colgroup><tr
- valign="baseline" id="TBL-417-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-417-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-497.svg" width="117.6105 " height="79.67366 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-417-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\angle</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,10,...,90}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpathcircle{\pgfpointpolar{\angle}{1cm}}{2pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 61--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.3 </span> <a
- id="x21-20700020.3"></a>Coordinates in the Xy- and Xyz-Coordinate Systems</h4>
-<!--l. 63--><p class="noindent">Coordinates can also be specified as multiples of an <span
-class="cmmi-10">x</span>-vector and a <span
-class="cmmi-10">y</span>-vector. Normally, the <span
-class="cmmi-10">x</span>-vector points one
-centimeter in the <span
-class="cmmi-10">x</span>-direction and the <span
-class="cmmi-10">y</span>-vector points one centimeter in the <span
-class="cmmi-10">y</span>-direction, but using the commands
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetxvec</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetyvec</span></span></span> they can be changed. Note that the <span
-class="cmmi-10">x</span>- and <span
-class="cmmi-10">y</span>-vector do not necessarily point
-&#8220;horizontally&#8221; and &#8220;vertically.&#8221;
-<!--l. 71--><p class="indent"> It is also possible to specify a point as a multiple of three vectors, the <span
-class="cmmi-10">x</span>-, <span
-class="cmmi-10">y</span>-, and <span
-class="cmmi-10">z</span>-vector. This is useful for
-creating simple three dimensional graphics.
-<!--l. 75--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox199"><span
-class="cmtt-10">\pgfpointxy</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">x</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">y</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-207001"></a>
- <!--l. 76--><p class="noindent">Yields a point that is situated at <span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">x</span></sub> times the <span
-class="cmmi-10">x</span>-vector plus <span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">y</span></sub> times the <span
-class="cmmi-10">y</span>-vector.
- <!--l. 78--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-418-" ><colgroup id="TBL-418-1g"><col
-id="TBL-418-1"><col
-id="TBL-418-2"></colgroup><tr
- valign="baseline" id="TBL-418-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-418-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-498.svg" width="115.07718 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-418-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointxy{1}{0}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointxy{2}{2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 88--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox200"><span
-class="cmtt-10">\pgfpointxyz</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">x</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">y</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">z</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-207002"></a>
- <!--l. 89--><p class="noindent">Yields a point that is situated at <span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">x</span></sub> times the <span
-class="cmmi-10">x</span>-vector plus <span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">y</span></sub> times the <span
-class="cmmi-10">y</span>-vector plus <span
-class="cmmi-10">s</span><sub ><span
-class="cmmi-7">z</span></sub> times the
- <span
-class="cmmi-10">z</span>-vector.
-
-
- <!--l. 92--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-419-" ><colgroup id="TBL-419-1g"><col
-id="TBL-419-1"><col
-id="TBL-419-2"></colgroup><tr
- valign="baseline" id="TBL-419-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-419-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-499.svg" width="54.07564 " height="54.07564 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-419-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrowsend{to}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointxyz{0}{0}{1}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointxyz{0}{1}{0}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointxyz{1}{0}{0}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 110--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox201"><span
-class="cmtt-10">\pgfsetxvec</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-207003"></a>
- <!--l. 111--><p class="noindent">Sets that current <span
-class="cmmi-10">x</span>-vector for usage in the <span
-class="cmmi-10">xyz</span>-coordinate system.
- <!--l. 113--><p class="noindent"><span
-class="cmti-10">Example:</span>
- <!--l. 114--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-420-" ><colgroup id="TBL-420-1g"><col
-id="TBL-420-1"><col
-id="TBL-420-2"></colgroup><tr
- valign="baseline" id="TBL-420-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-420-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-500.svg" width="115.07718 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-420-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointxy{1}{0}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointxy{2}{2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetxvec{\pgfpoint{0.75cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointxy{1}{0}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointxy{2}{2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 131--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox202"><span
-class="cmtt-10">\pgfsetyvec</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-207004"></a>
- <!--l. 132--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetyvec</span></span></span>. </dd></dl>
-<!--l. 135--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox203"><span
-class="cmtt-10">\pgfsetzvec</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-207005"></a>
- <!--l. 136--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetzvec</span></span></span>. </dd></dl>
-
-
-<!--l. 142--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.4 </span> <a
- id="x21-20800020.4"></a>Building Coordinates From Other Coordinates</h4>
-<!--l. 144--><p class="noindent">Many commands allow you to construct a coordinate in terms of other coordinates.
-<!--l. 148--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">20.4.1 </span> <a
- id="x21-20900020.4.1"></a>Basic Manipulations of Coordinates</h5>
-<!--l. 150--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox204"><span
-class="cmtt-10">\pgfpointadd</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">v</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">v</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-209001"></a>
- <!--l. 151--><p class="noindent">Returns the sum vector <span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">v</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt; </span>+ <span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">v</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span>.
- <!--l. 152--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-421-" ><colgroup id="TBL-421-1g"><col
-id="TBL-421-1"><col
-id="TBL-421-2"></colgroup><tr
- valign="baseline" id="TBL-421-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-421-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-501.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-421-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointadd{\pgfpoint{1cm}{0cm}}{\pgfpoint{1cm}{1cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 161--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox205"><span
-class="cmtt-10">\pgfpointscale</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-209002"></a>
- <!--l. 162--><p class="noindent">Returns the vector <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 163--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-422-" ><colgroup id="TBL-422-1g"><col
-id="TBL-422-1"><col
-id="TBL-422-2"></colgroup><tr
- valign="baseline" id="TBL-422-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-422-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-502.svg" width="115.07718 " height="79.67366 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-422-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointscale{1.5}{\pgfpoint{1cm}{0cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 172--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox206"><span
-class="cmtt-10">\pgfpointdiff</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-209003"></a>
- <!--l. 173--><p class="noindent">Returns the difference vector <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt;-&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 174--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-423-" ><colgroup id="TBL-423-1g"><col
-id="TBL-423-1"><col
-id="TBL-423-2"></colgroup><tr
- valign="baseline" id="TBL-423-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-423-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-503.svg" width="117.6105 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-423-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointdiff{\pgfpoint{1cm}{0cm}}{\pgfpoint{1cm}{1cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </dd></dl>
-<!--l. 184--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox207"><span
-class="cmtt-10">\pgfpointnormalised</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-209004"></a>
- <!--l. 185--><p class="noindent">This command returns a normalized version of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>, that is, a vector of length 1pt pointing in
- the direction of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>. If <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>is the 0-vector or extremely short, a vector of length 1pt pointing
- upwards is returned.
- <!--l. 190--><p class="noindent">This command is <span
-class="cmti-10">not </span>implemented by calculating the length of the vector, but rather by calculating the angle
- of the vector and then using (something equivalent to) the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointpolar</span></span></span> command. This ensures that the
- point will really have length 1pt, but it is not guaranteed that the vector will <span
-class="cmti-10">precisely </span>point in the direction of
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>due to the fact that the polar tables are accurate only up to one degree. Normally, this is not a
- problem.
- <!--l. 198--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-424-" ><colgroup id="TBL-424-1g"><col
-id="TBL-424-1"><col
-id="TBL-424-2"></colgroup><tr
- valign="baseline" id="TBL-424-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-424-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-504.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-424-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{2cm}{1cm}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointscale{20}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpointnormalised{\pgfpoint{2cm}{1cm}}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 210--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">20.4.2 </span> <a
- id="x21-21000020.4.2"></a>Points Traveling along Lines and Curves</h5>
-<!--l. 214--><p class="noindent">The commands in this section allow you to specify points on a line or a curve. Imaging a point &#8220;traveling&#8221; along a
-curve from some point <span
-class="cmmi-10">p </span>to another point <span
-class="cmmi-10">q</span>. At time <span
-class="cmmi-10">t </span>= 0 the point is at <span
-class="cmmi-10">p </span>and at time <span
-class="cmmi-10">t </span>= 1 it is at <span
-class="cmmi-10">q </span>and at time,
-say, <span
-class="cmmi-10">t </span>= 1<span
-class="cmmi-10">/</span>2 it is &#8220;somewhere in the middle.&#8221; The exact location at time <span
-class="cmmi-10">t </span>= 1<span
-class="cmmi-10">/</span>2 will not necessarily be the &#8220;halfway
-point,&#8221; that is, the point whose distance on the curve from <span
-class="cmmi-10">p </span>and <span
-class="cmmi-10">q </span>is equal. Rather, the exact location will depend
-on the &#8220;speed&#8221; at which the point is traveling, which in turn depends on the lengths of the support
-vectors in a complicated manner. If you are interested in the details, please see a good book on B&eacute;zier
-curves.
-<!--l. 228--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox208"><span
-class="cmtt-10">\pgfpointlineattime</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">time </span><span
-class="cmmi-10">t</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">p</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">q</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-210001"></a>
- <!--l. 229--><p class="noindent">Yields a point that is the <span
-class="cmmi-10">t</span>th fraction between <span
-class="cmmi-10">p </span>and&nbsp;<span
-class="cmmi-10">q</span>, that is, <span
-class="cmmi-10">p </span>+ <span
-class="cmmi-10">t</span>(<span
-class="cmmi-10">q </span><span
-class="cmsy-10">- </span><span
-class="cmmi-10">p</span>). For <span
-class="cmmi-10">t </span>= 1<span
-class="cmmi-10">/</span>2 this is the
- middle of <span
-class="cmmi-10">p </span>and <span
-class="cmmi-10">q</span>.
-
-
- <!--l. 233--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-425-" ><colgroup id="TBL-425-1g"><col
-id="TBL-425-1"><col
-id="TBL-425-2"></colgroup><tr
- valign="baseline" id="TBL-425-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-425-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-505.svg" width="118.27718 " height="104.43468 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-425-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\t</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,0.25,...,1.25}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgftext[at=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpointlineattime{\t}{\pgfpointorigin}{\pgfpoint{2cm}{2cm}}]{\t}}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 246--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox209"><span
-class="cmtt-10">\pgfpointlineatdistance</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">distance</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-210002"></a>
- <!--l. 247--><p class="noindent">Yields a point that is located <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">distance</span><span
-class="cmsy-10">&gt; </span>many units removed from the start point in the direction of
- the end point. In other words, this is the point that results if we travel <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">distance</span><span
-class="cmsy-10">&gt; </span>steps from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span>
- <span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>towards <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end point</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 251--><p class="noindent"><span
-class="cmti-10">Example:</span>
- <!--l. 252--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-426-" ><colgroup id="TBL-426-1g"><col
-id="TBL-426-1"><col
-id="TBL-426-2"></colgroup><tr
- valign="baseline" id="TBL-426-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-426-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-506.svg" width="124.70686 " height="77.54778 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-426-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\d</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0pt,20pt,40pt,70pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgftext[at=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpointlineatdistance{\d}{\pgfpointorigin}{\pgfpoint{3cm}{2cm}}]{\d}}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 266--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox210"><span
-class="cmtt-10">\pgfpointcurveattime</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">time </span><span
-class="cmmi-10">t</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">p</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">s</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">s</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point </span><span
-class="cmmi-10">q</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-210003"></a>
- <!--l. 267--><p class="noindent">Yields a point that is on the B&eacute;zier curve from <span
-class="cmmi-10">p </span>to <span
-class="cmmi-10">q </span>with the support points <span
-class="cmmi-10">s</span><sub ><span
-class="cmr-7">1</span></sub> and <span
-class="cmmi-10">s</span><sub ><span
-class="cmr-7">2</span></sub>. The time <span
-class="cmmi-10">t </span>is
- used to determine the location, where <span
-class="cmmi-10">t </span>= 0 yields <span
-class="cmmi-10">p </span>and <span
-class="cmmi-10">t </span>= 1 yields <span
-class="cmmi-10">q</span>.
-
-
- <!--l. 271--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-427-" ><colgroup id="TBL-427-1g"><col
-id="TBL-427-1"><col
-id="TBL-427-2"></colgroup><tr
- valign="baseline" id="TBL-427-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-427-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-507.svg" width="128.21748 " height="85.46626 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-427-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcurveto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{0cm}{2cm}}{\pgfpoint{0cm}{2cm}}{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\t</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{0,0.25,0.5,0.75,1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgftext[at=\pgfpointcurveattime{\t}{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{0cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{0cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{3cm}{2cm}}]{\t}}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 287--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">20.4.3 </span> <a
- id="x21-21100020.4.3"></a>Points on Borders of Objects</h5>
-<!--l. 289--><p class="noindent">The following commands are useful for specifying a point that lies on the border of special shapes. They are used,
-for example, by the shape mechanism to determine border points of shapes.
-<!--l. 293--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox211"><span
-class="cmtt-10">\pgfpointborderrectangle</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-211001"></a>
- <!--l. 294--><p class="noindent">This command returns a point that lies on the intersection of a line starting at the origin and going
- towards the point <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction point</span><span
-class="cmsy-10">&gt; </span>and a rectangle whose center is in the origin and whose upper right
- corner is at <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 299--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction point</span><span
-class="cmsy-10">&gt; </span>should have length &#8220;about 1pt,&#8221; but it will be normalized automatically.
- Nevertheless, the &#8220;nearer&#8221; the length is to 1pt, the less rounding errors.
- <!--l. 303--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-428-" ><colgroup id="TBL-428-1g"><col
-id="TBL-428-1"><col
-id="TBL-428-2"></colgroup><tr
- valign="baseline" id="TBL-428-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-428-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-508.svg" width="117.6105 " height="105.7263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-428-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectanglecorners{\pgfpoint{-1cm}{-1.25cm}}{\pgfpoint{1cm}{1.25cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{5pt}{5pt}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{-10pt}{5pt}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointborderrectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{5pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointborderrectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{-10pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 323--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox212"><span
-class="cmtt-10">\pgfpointborderellipse</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">direction point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-211002"></a>
- <!--l. 324--><p class="noindent">This command works like the corresponding command for rectangles, only this time the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt; </span>is
- the corner of the bounding rectangle of an ellipse.
- <!--l. 328--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-429-" ><colgroup id="TBL-429-1g"><col
-id="TBL-429-1"><col
-id="TBL-429-2"></colgroup><tr
- valign="baseline" id="TBL-429-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-429-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-509.svg" width="115.21051 " height="105.7263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-429-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathellipse{\pgfpointorigin}{\pgfpoint{1cm}{0cm}}{\pgfpoint{0cm}{1.25cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{5pt}{5pt}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{-10pt}{5pt}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointborderellipse</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{5pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointborderellipse</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{-10pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 348--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">20.4.4 </span> <a
- id="x21-21200020.4.4"></a>Points on the Intersection of Lines</h5>
-<!--l. 351--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox213"><span
-class="cmtt-10">\pgfpointintersectionoflines</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">p</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">q</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">t</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-212001"></a>
- <!--l. 352--><p class="noindent">This command returns the intersection of a line going through <span
-class="cmmi-10">p </span>and <span
-class="cmmi-10">q </span>and a line going through <span
-class="cmmi-10">s </span>and
- <span
-class="cmmi-10">t</span>. If the lines do not intersection, an arithmetic overflow will occur.
- <!--l. 356--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-430-" ><colgroup id="TBL-430-1g"><col
-id="TBL-430-1"><col
-id="TBL-430-2"></colgroup><tr
- valign="baseline" id="TBL-430-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-430-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-510.svg" width="77.27367 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-430-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpointintersectionoflines</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpointxy{.5}{0}}{\pgfpointxy{2}{2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpointxy{1}{2}}{\pgfpointxy{2}{0}}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-<!--l. 371--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.5 </span> <a
- id="x21-21300020.5"></a>Extracting Coordinates</h4>
-<!--l. 373--><p class="noindent">There are two commands that can be used to &#8220;extract&#8221; the <span
-class="cmmi-10">x</span>- or <span
-class="cmmi-10">y</span>-coordinate of a coordinate.
-<!--l. 376--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox214"><span
-class="cmtt-10">\pgfextractx</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-213001"></a>
- <!--l. 377--><p class="noindent">Sets the <span class="TEX">T<span
-class="E">E</span>X</span>-<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>to the <span
-class="cmmi-10">x</span>-coordinate of the point.
- <!--l. 379--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-431-" ><colgroup id="TBL-431-1g"><col
-id="TBL-431-1"></colgroup><tr
- valign="baseline" id="TBL-431-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-431-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\newdimen\mydim</span>
-<br><span
-class="cmtt-8">\pgfextractx{\mydim}{\pgfpoint{2cm}{4pt}}</span>
-<br><span
-class="cmsltt-10x-x-80">%%</span><span
-class="cmsltt-10x-x-80">&nbsp;\mydim</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;now</span><span
-class="cmsltt-10x-x-80">&nbsp;2cm</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 386--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox215"><span
-class="cmtt-10">\pgfextracty</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-213002"></a>
- <!--l. 387--><p class="noindent">Like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfextractx</span></span></span>, except for the <span
-class="cmmi-10">y</span>-coordinate. </dd></dl>
-<!--l. 393--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">20.6 </span> <a
- id="x21-21400020.6"></a>Internals of How Point Commands Work</h4>
-<!--l. 395--><p class="noindent">As a normal user of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;you do not need to read this section. It is relevant only if you need to understand how the
-point commands work internally.
-<!--l. 399--><p class="indent"> When a command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{1cm}{2pt}</span></span></span> is called, all that happens is that the two <span class="TEX">T<span
-class="E">E</span>X</span>-dimension
-variables <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> are set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1cm</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2pt</span></span></span>, respectively. A command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto</span></span></span> that takes a
-coordinate as parameter will just execute this parameter and then use the values of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> as the
-coordinates to which it will move the pen on the current path.
-<!--l. 406--><p class="indent"> since commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointnormalised</span></span></span> modify other variables besides <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> during the
-computation of the final values of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span>, it is a good idea to enclose a call of a command like
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint</span></span></span> in a <span class="TEX">T<span
-class="E">E</span>X</span>-scope and then make the changes of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> global as in the following
-example:
-<!--l. 411--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-432-" ><colgroup id="TBL-432-1g"><col
-id="TBL-432-1"></colgroup><tr
- valign="baseline" id="TBL-432-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-432-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">{</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;open</span><span
-class="cmsltt-10x-x-80">&nbsp;scope</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpointnormalised{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\global\pgf@x=\pgf@x</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;change</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;\pgf@x</span><span
-class="cmsltt-10x-x-80">&nbsp;persist</span><span
-class="cmsltt-10x-x-80">&nbsp;past</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;scope</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\global\pgf@y=\pgf@y</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;change</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;\pgf@y</span><span
-class="cmsltt-10x-x-80">&nbsp;persist</span><span
-class="cmsltt-10x-x-80">&nbsp;past</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;scope</span>
-<br><span
-class="cmtt-8">}</span>
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;\pgf@x</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;\pgf@y</span><span
-class="cmsltt-10x-x-80">&nbsp;are</span><span
-class="cmsltt-10x-x-80">&nbsp;now</span><span
-class="cmsltt-10x-x-80">&nbsp;set</span><span
-class="cmsltt-10x-x-80">&nbsp;correctly,</span><span
-class="cmsltt-10x-x-80">&nbsp;all</span><span
-class="cmsltt-10x-x-80">&nbsp;other</span><span
-class="cmsltt-10x-x-80">&nbsp;variables</span><span
-class="cmsltt-10x-x-80">&nbsp;are</span>
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;unchanged</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 423--><p class="indent"> Since this situation arises very often, the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@process</span></span></span> can be used to perform the above
-code:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox216"><span
-class="cmtt-10">\pgf@process</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx21-214001"></a>
- <!--l. 426--><p class="noindent">Executes the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>in a scope and then makes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> global. </dd></dl>
-<!--l. 430--><p class="indent"> Note that this macro is used often internally. For this reason, it is not a good idea to keep anything important in
-the variables <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> since they will be overwritten and changed frequently. Instead, intermediate values
-can ge stored in the <span class="TEX">T<span
-class="E">E</span>X</span>-dimensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@xa</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@xb</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@xc</span></span></span> and their <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">y</span></span></span>-counterparts <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@ya</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@yb</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf@yc</span></span></span>. For example, here is the code of the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointadd</span></span></span>:
-
-
-<!--l. 437--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-433-" ><colgroup id="TBL-433-1g"><col
-id="TBL-433-1"></colgroup><tr
- valign="baseline" id="TBL-433-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-433-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\def\pgfpointadd#1#2{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@process{#1}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@xa=\pgf@x</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@ya=\pgf@y</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@process{#2}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\advance\pgf@x</span><span
-class="cmtt-8">&nbsp;by\pgf@xa</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\advance\pgf@y</span><span
-class="cmtt-8">&nbsp;by\pgf@ya}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse21.html" >next</a>] [<a
-href="pgfmanualse19.html" >prev</a>] [<a
-href="pgfmanualse19.html#tailpgfmanualse19.html" >prev-tail</a>] [<a
-href="pgfmanualse20.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse20.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse20.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse21.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse21.html
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@@ -1,1761 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>21 Constructing Paths</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse22.html" >next</a>] [<a
-href="pgfmanualse20.html" >prev</a>] [<a
-href="pgfmanualse20.html#tailpgfmanualse20.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse21.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse21.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">21 </span> <a
- id="x22-21500021"></a>Constructing Paths</h3>
-<!--l. 10--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.1 </span> <a
- id="x22-21600021.1"></a>Overview</h4>
-<!--l. 12--><p class="noindent">The &#8220;basic entity of drawing&#8221; in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;is the <span
-class="cmti-10">path</span>. A path consists of several parts, each of which is either a closed or
-open curve. An open curve has a starting point and an end point and, in between, consists of several <span
-class="cmti-10">segments</span>, each
-of which is either a straight line or a B&eacute;zier curve. Here is an example of a path (in red) consisting of two parts, one
-open, one closed:
-<!--l. 19--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-511.svg" width="336.77493 " height="173.6204 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-434-" ><colgroup id="TBL-434-1g"><col
-id="TBL-434-1"></colgroup><tr
- valign="baseline" id="TBL-434-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-434-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=2]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick,red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(a)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(ab)</span><span
-class="cmtt-8">&nbsp;(1,.5)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(b)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(bc)</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(up:1cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(left:1cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(3,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(c)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;(1,2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{start</span><span
-class="cmtt-8">&nbsp;part</span><span
-class="cmtt-8">&nbsp;1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(ab)</span><span
-class="cmtt-8">&nbsp;node[below</span><span
-class="cmtt-8">&nbsp;right]</span><span
-class="cmtt-8">&nbsp;{straight</span><span
-class="cmtt-8">&nbsp;segment}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{end</span><span
-class="cmtt-8">&nbsp;first</span><span
-class="cmtt-8">&nbsp;segment}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{end</span><span
-class="cmtt-8">&nbsp;part</span><span
-class="cmtt-8">&nbsp;1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[above</span><span
-class="cmtt-8">&nbsp;right]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{part</span><span
-class="cmtt-8">&nbsp;2</span><span
-class="cmtt-8">&nbsp;(closed)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 35--><p class="indent"> A path, by itself, has no &#8220;effect,&#8221; that is, it does not leave any marks on the page. It is just a set of
-points on the plane. However, you can <span
-class="cmti-10">use </span>a path in different ways. The most natural actions are
-<span
-class="cmti-10">stroking </span>(also known as <span
-class="cmti-10">drawing</span>) and <span
-class="cmti-10">filling</span>. Stroking can be imagined as picking up a pen of a certain
-diameter and &#8220;moving it along the path.&#8221; Filling means that everything &#8220;inside&#8221; the path is filled
-with a uniform color. Naturally, the open parts of a path must first be closed before a path can be
-filled.
-<!--l. 45--><p class="indent"> In <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, there are numerous commands for constructing paths, all of which start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpath</span></span></span>. There are also
-commands for <span
-class="cmti-10">using </span>paths, though most operations can be performed by calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span> with an appropriate
-parameter.
-<!--l. 50--><p class="indent"> As a side-effect, the path construction commands keep track of two bounding boxes. One is the bounding box for
-the current path, the other is a bounding box for all paths in the current picture. See Section&nbsp;<a
-href="#x22-22800021.13">21.13<!--tex4ht:ref: section-bb --></a> for more
-details.
-<!--l. 55--><p class="indent"> Each path construction command extends the current path in some way. The &#8220;current path&#8221; is a global entity
-that persists across <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups. Thus, between calls to the path construction commands you can
-perform arbitrary computations and even open and closed <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups. The current path only gets
-&#8220;flushed&#8221; when the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span> command is called (or when the soft-path subsystem is used directly, see
-Section&nbsp;<a
-href="pgfmanualse34.html#x35-32300034">34<!--tex4ht:ref: section-soft-paths --></a>).
-<!--l. 63--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.2 </span> <a
- id="x22-21700021.2"></a>The Move-To Path Operation</h4>
-<!--l. 65--><p class="noindent">The most basic operation is the move-to operation. It must be given at the beginning of paths, though some path
-construction command (like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathrectangle</span></span></span>) generate move-tos implicitly. A move-to operation can also be
-used to start a new part of a path.
-
-
-<!--l. 70--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox217"><span
-class="cmtt-10">\pgfpathmoveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-217001"></a>
- <!--l. 71--><p class="noindent">This command expects a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>-coordinate like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointorigin</span></span></span> as its parameter. When the current
- path is empty, this operation will start the path at the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. If a path has already
- been partly constructed, this command will end the current part of the path and start a new
- one.
- <!--l. 76--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-435-" ><colgroup id="TBL-435-1g"><col
-id="TBL-435-1"><col
-id="TBL-435-2"></colgroup><tr
- valign="baseline" id="TBL-435-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-435-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-512.svg" width="115.3439 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-435-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 87--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-436-" ><colgroup id="TBL-436-1g"><col
-id="TBL-436-1"><col
-id="TBL-436-2"></colgroup><tr
- valign="baseline" id="TBL-436-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-436-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-513.svg" width="115.3439 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-436-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{2cm}{1cm}}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;New</span><span
-class="cmsltt-10x-x-80">&nbsp;part</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 99--><p class="noindent">The command will apply the current coordinate transformation matrix to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>before using
- it.
- <!--l. 102--><p class="noindent">The command will update the bounding box of the current path and picture, if necessary. </dd></dl>
-<!--l. 107--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.3 </span> <a
- id="x22-21800021.3"></a>The Line-To Path Operation</h4>
-<!--l. 109--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox218"><span
-class="cmtt-10">\pgfpathlineto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-218001"></a>
- <!--l. 110--><p class="noindent">This command extends the current path in a straight line to the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. If this command is given
- at the beginning of path without any other path construction command given before (in particular without a
- move-to operation), the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;file may compile without an error message, but a viewer application may display
- an error message when trying to render the picture.
- <!--l. 116--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-437-" ><colgroup id="TBL-437-1g"><col
-id="TBL-437-1"><col
-id="TBL-437-2"></colgroup><tr
- valign="baseline" id="TBL-437-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-437-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-514.svg" width="77.40703 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-437-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 125--><p class="noindent">The command will apply the current coordinate transformation matrix to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>before using
- it.
- <!--l. 128--><p class="noindent">The command will update the bounding box of the current path and picture, if necessary. </dd></dl>
-<!--l. 133--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.4 </span> <a
- id="x22-21900021.4"></a>The Curve-To Path Operation</h4>
-<!--l. 135--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox219"><span
-class="cmtt-10">\pgfpathcurveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">support 1</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">support 2</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-219001"></a>
- <!--l. 136--><p class="noindent">This command extends the current path with a B&eacute;zier curve from the last point of the path to
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">support 1</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">support 2</span><span
-class="cmsy-10">&gt; </span>are the first and second support point of the B&eacute;zier
- curve. For more information on B&eacute;zier curve, please consult a standard textbook on computer graphics.
- <!--l. 142--><p class="noindent">Like the line-to command, this command may not be the first path construction command in a
- path.
- <!--l. 144--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-438-" ><colgroup id="TBL-438-1g"><col
-id="TBL-438-1"><col
-id="TBL-438-2"></colgroup><tr
- valign="baseline" id="TBL-438-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-438-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-515.svg" width="115.3439 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-438-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcurveto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{1cm}{1cm}}{\pgfpoint{2cm}{1cm}}{\pgfpoint{3cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 153--><p class="noindent">The command will apply the current coordinate transformation matrix to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>before using
- it.
- <!--l. 156--><p class="noindent">The command will update the bounding box of the current path and picture, if necessary. However, the
- bounding box is simply made large enough such that it encompasses all of the support points and
- the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. This will guarantee that the curve is completely inside the bounding box, but
- the bounding box will typically be quite a bit too large. It is not clear (to me) how this can be
- avoided without resorting to &#8220;some serious math&#8221; in order to calculate a precise bounding box.
- </dd></dl>
-<!--l. 167--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.5 </span> <a
- id="x22-22000021.5"></a>The Close Path Operation</h4>
-<!--l. 169--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox220"><span
-class="cmtt-10">\pgfpathclose</span></span> </dt><dd
-class="description">
-<a
- id="dx22-220001"></a>
- <!--l. 170--><p class="noindent">This command closes the current part of the path by appending a straight line to the start point of the current
- part. Note that there <span
-class="cmti-10">is </span>a difference between closing a path and using the line-to operation to add a straight
- line to the start of the current path. The difference is demonstrated by the upper corners of the triangles in
- the following example:
-
-
- <!--l. 176--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-439-" ><colgroup id="TBL-439-1g"><col
-id="TBL-439-1"><col
-id="TBL-439-2"></colgroup><tr
- valign="baseline" id="TBL-439-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-439-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-516.svg" width="118.27718 " height="118.27718 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-439-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{5pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{0cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathclose</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{2.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1.5cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2.5cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 194--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.6 </span> <a
- id="x22-22100021.6"></a>Arc, Ellipse and Circle Path Operations</h4>
-<!--l. 196--><p class="noindent">The path construction commands that we have discussed up to now are sufficient to create all paths that can be
-created &#8220;at all.&#8221; However, it is useful to have special commands to create certain shapes, like circles, that arise often
-in practice.
-<!--l. 201--><p class="indent"> In the following, the commands for adding (parts of) (transformed) circles to a path are described.
-<!--l. 205--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox221"><span
-class="cmtt-10">\pgfpatharc</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start angle</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end angle</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-221001"></a>
- <!--l. 206--><p class="noindent">This command appends a part of a circle (or an ellipse) to the current path. Imaging the curve between
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start angle</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end angle</span><span
-class="cmsy-10">&gt; </span>on a circle of radius <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt; </span>(if <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start angle</span><span
-class="cmsy-10">&gt; </span><span
-class="cmmi-10">&lt; </span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end angle</span><span
-class="cmsy-10">&gt;</span>, the curve
- goes around the circle counterclockwise, otherwise clockwise). This curve is now moved such that the
- point where the curve starts is the previous last point of the path. Note that this command will <span
-class="cmti-10">not</span>
- start a new part of the path, which is important for example for filling purposes.
- <!--l. 215--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-440-" ><colgroup id="TBL-440-1g"><col
-id="TBL-440-1"><col
-id="TBL-440-2"></colgroup><tr
- valign="baseline" id="TBL-440-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-440-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-517.svg" width="133.91231 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-440-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{0cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{180}{90}{.5cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{1.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{90}{-45}{.5cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 227--><p class="noindent">Saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpatharc{0}{360}{1cm}</span></span></span> &#8220;nearly&#8221; gives you a full circle. The &#8220;nearly&#8221; refers to the fact that the
- circle will not be closed. You can close it using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathclose</span></span></span>.
- <!--l. 231--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt; </span>need not always be a single <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension. Instead, it can also contain a slash,
- in which case it must consist of two dimensions separated by this slash. In this case the first
- dimension is the <span
-class="cmmi-10">x</span>-radius and the second the <span
-class="cmmi-10">y</span>-radius of the ellipse from which the curve is
- taken:
-
-
- <!--l. 237--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-441-" ><colgroup id="TBL-441-1g"><col
-id="TBL-441-1"><col
-id="TBL-441-2"></colgroup><tr
- valign="baseline" id="TBL-441-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-441-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-518.svg" width="131.05789 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-441-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{180}{45}{2cm/1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 246--><p class="noindent">The axes of the circle or ellipse from which the arc is &#8220;taken&#8221; always point up and right. However, the current
- coordinate transformation matrix will have an effect on the arc. This can be used to, say, rotate an
- arc:
- <!--l. 251--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-442-" ><colgroup id="TBL-442-1g"><col
-id="TBL-442-1"><col
-id="TBL-442-2"></colgroup><tr
- valign="baseline" id="TBL-442-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-442-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-519.svg" width="125.73721 " height="89.52711 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-442-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{180}{45}{2cm/1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 261--><p class="noindent">The command will update the bounding box of the current path and picture, if necessary. Unless rotation or
- shearing transformations are applied, the bounding box will be tight. </dd></dl>
-<!--l. 267--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox222"><span
-class="cmtt-10">\pgfpathellipse</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first axis</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second axis</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-221002"></a>
- <!--l. 268--><p class="noindent">The effect of this command is to append an ellipse to the current path (if the path is not empty, a
- new part is started). The ellipse&#8217;s center will be <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first axis</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second axis</span><span
-class="cmsy-10">&gt; </span>are the
- axis <span
-class="cmti-10">vectors</span>. The same effect as this command can also be achieved using an appropriate sequence of
- move-to, arc, and close operations, but this command is easier and faster.
- <!--l. 276--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-443-" ><colgroup id="TBL-443-1g"><col
-id="TBL-443-1"><col
-id="TBL-443-2"></colgroup><tr
- valign="baseline" id="TBL-443-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-443-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-520.svg" width="134.17896 " height="125.73784 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-443-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathellipse{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{1.5cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{0cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathellipse{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{-0.5cm}{0.5cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 291--><p class="noindent">The command will apply coordinate transformations to all coordinates of the ellipse. However, the coordinate
-
-
- transformations are applied only after the ellipse is &#8220;finished conceptually.&#8221; Thus, a transformation of 1cm to
- the right will simply shift the ellipse one centimeter to the right; it will not add 1cm to the <span
-class="cmmi-10">x</span>-coordinates of
- the two axis vectors.
- <!--l. 298--><p class="noindent">The command will update the bounding box of the current path and picture, if necessary. </dd></dl>
-<!--l. 302--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox223"><span
-class="cmtt-10">\pgfpathcirlce</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-221003"></a>
- <!--l. 303--><p class="noindent">A shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathellipse</span></span></span> applied to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center</span><span
-class="cmsy-10">&gt; </span>and the two axis vectors (<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span
-class="cmmi-10">,</span>0) and
- (0<span
-class="cmmi-10">,</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span>). </dd></dl>
-<!--l. 308--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.7 </span> <a
- id="x22-22200021.7"></a>Rectangle Path Operations</h4>
-<!--l. 310--><p class="noindent">Another shape that arises frequently is the rectangle. Two commands can be used to add a rectangle to the current
-path. Both commands will start a new part of the path.
-<!--l. 315--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox224"><span
-class="cmtt-10">\pgfpathrectangle</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">diagonal vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-222001"></a>
- <!--l. 316--><p class="noindent">Adds a rectangle to the path whose one corner is <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt; </span>and whose opposite corner is given by
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt; </span>+ <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">diagonal vector</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 320--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-444-" ><colgroup id="TBL-444-1g"><col
-id="TBL-444-1"><col
-id="TBL-444-2"></colgroup><tr
- valign="baseline" id="TBL-444-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-444-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-521.svg" width="134.17897 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-444-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{0cm}}{\pgfpoint{1.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1.5cm}{0.25cm}}{\pgfpoint{1.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{2cm}{0.5cm}}{\pgfpoint{1.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 329--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes tightly.
- </dd></dl>
-<!--l. 334--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox225"><span
-class="cmtt-10">\pgfpathrectanglecorners</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">opposite corner</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-222002"></a>
- <!--l. 335--><p class="noindent">Adds a rectangle to the path whose two opposing corners are <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">opposite corner</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 337--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-445-" ><colgroup id="TBL-445-1g"><col
-id="TBL-445-1"><col
-id="TBL-445-2"></colgroup><tr
- valign="baseline" id="TBL-445-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-445-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-522.svg" width="115.07718 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-445-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectanglecorners{\pgfpoint{1cm}{0cm}}{\pgfpoint{1.5cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{draw}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 344--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes tightly.
- </dd></dl>
-
-
-<!--l. 350--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.8 </span> <a
- id="x22-22300021.8"></a>The Grid Path Operation</h4>
-<!--l. 352--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox226"><span
-class="cmtt-10">\pgfpathgrid</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">upper right</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-223001"></a>
- <!--l. 353--><p class="noindent">Appends a grid to the current path. That is, a (possibly large) number of parts are added to the path,
- each part consisting of a single horizontal or vertical straight line segment.
- <!--l. 357--><p class="noindent">Conceptually, the origin is part of the grid and the grid is clipped to the rectangle specified by the
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left</span><span
-class="cmsy-10">&gt; </span>and the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">upper right</span><span
-class="cmsy-10">&gt; </span>corner. However, no clipping occurs (this command just adds parts to
- the current path). Rather, the points where the lines enter and leave the &#8220;clipping area&#8221; are computed
- and used to add simple lines to the current path.
- <!--l. 364--><p class="noindent">Allowed <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">stepx</span><a
- id="dx22-223002"></a><a
- id="dx22-223003"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the horizontal stepping to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. Default is 1cm.
- </li>
- <li class="itemize"><span
-class="cmtt-10">stepy</span><a
- id="dx22-223004"></a><a
- id="dx22-223005"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the vertical stepping to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. Default is 1cm.
- </li>
- <li class="itemize"><span
-class="cmtt-10">step</span><a
- id="dx22-223006"></a><a
- id="dx22-223007"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt; </span>Sets the horizontal stepping to the <span
-class="cmmi-10">x</span>-coordinate of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt; </span>and the vertical stepping
- to its <span
-class="cmmi-10">y</span>-coordinate.</li></ul>
- <!--l. 374--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-446-" ><colgroup id="TBL-446-1g"><col
-id="TBL-446-1"><col
-id="TBL-446-2"></colgroup><tr
- valign="baseline" id="TBL-446-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-446-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-523.svg" width="138.63931 " height="100.70245 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-446-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{0.8pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathgrid[step={\pgfpoint{1cm}{1cm}}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{-3mm}{-3mm}}{\pgfpoint{33mm}{23mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{0.4pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathgrid[stepx=1mm,stepy=1mm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{-1.5mm}{-1.5mm}}{\pgfpoint{31.5mm}{21.5mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 386--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes tightly. As for ellipses,
- the transformations are applied to the &#8220;conceptually finished&#8221; grid.
- <!--l. 389--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-447-" ><colgroup id="TBL-447-1g"><col
-id="TBL-447-1"><col
-id="TBL-447-2"></colgroup><tr
- valign="baseline" id="TBL-447-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-447-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-524.svg" width="133.37686 " height="133.37686 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-447-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{10}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathgrid[stepx=1mm,stepy=2mm]{\pgfpoint{0mm}{0mm}}{\pgfpoint{30mm}{30mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-<!--l. 399--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.9 </span> <a
- id="x22-22400021.9"></a>The Parabola Path Operation</h4>
-<!--l. 401--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox227"><span
-class="cmtt-10">\pgfpathparabola</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">bend vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-224001"></a>
- <!--l. 402--><p class="noindent">This command appends two half-parabolas to the current path. The first starts at the current point
- and ends at the current point plus <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">bend vector</span><span
-class="cmsy-10">&gt;</span>. At his point, it has its bend. The second half parabola
- starts at that bend point and end at point that is given by the bend plus <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end vector</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 408--><p class="noindent">If you set <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end vector</span><span
-class="cmsy-10">&gt; </span>to the null vector, you append only a half parabola that goes from the current
- point to the bend; by setting <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">bend vector</span><span
-class="cmsy-10">&gt; </span>to the null vector, you append only a half parabola that
- goes to current point plus <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end vector</span><span
-class="cmsy-10">&gt; </span>and has its bend at the current point.
- <!--l. 414--><p class="noindent">It is not possible to use this command to draw a part of a parabola that does not contain the bend.
- <!--l. 417--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-448-" ><colgroup id="TBL-448-1g"><col
-id="TBL-448-1"><col
-id="TBL-448-2"></colgroup><tr
- valign="baseline" id="TBL-448-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-448-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-525.svg" width="153.28075 " height="191.21764 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-448-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Half-parabola</span><span
-class="cmsltt-10x-x-80">&nbsp;going</span><span
-class="cmsltt-10x-x-80">&nbsp;``up</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;right''</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathparabola{\pgfpointorigin}{\pgfpoint{2cm}{4cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Half-parabola</span><span
-class="cmsltt-10x-x-80">&nbsp;going</span><span
-class="cmsltt-10x-x-80">&nbsp;``down</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;right''</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathparabola{\pgfpoint{-2cm}{4cm}}{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{blue}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Full</span><span
-class="cmsltt-10x-x-80">&nbsp;parabola</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{-2cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathparabola{\pgfpoint{1cm}{-1cm}}{\pgfpoint{2cm}{4cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{orange}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 438--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes. </dd></dl>
-<!--l. 443--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.10 </span> <a
- id="x22-22500021.10"></a>Sine and Cosine Path Operations</h4>
-<!--l. 445--><p class="noindent">Sine and cosine curves often need to be drawn and the following commands may help with this. However, they only
-allow you to append sine and cosine curves in intervals that are multiples of <span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2.
-<!--l. 449--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox228"><span
-class="cmtt-10">\pgfpathsine</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-225001"></a>
- <!--l. 450--><p class="noindent">This command appends a sine curve in the interval [0<span
-class="cmmi-10">,<img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2] to the current path. The sine curve is squeezed or
- stretched such that the curve starts at the current point and ends at the current point plus
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt;</span>.
-
-
- <!--l. 454--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-449-" ><colgroup id="TBL-449-1g"><col
-id="TBL-449-1"><col
-id="TBL-449-2"></colgroup><tr
- valign="baseline" id="TBL-449-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-449-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-526.svg" width="153.14738 " height="115.34387 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-449-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsine{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsine{\pgfpoint{-2cm}{-2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 467--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes. </dd></dl>
-<!--l. 471--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox229"><span
-class="cmtt-10">\pgfpathcosine</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-225002"></a>
- <!--l. 472--><p class="noindent">This command appends a cosine curve in the interval [0<span
-class="cmmi-10">,<img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2] to the current path. The curve is squeezed or
- stretched such that the curve starts at the current point and ends at the current point plus <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt;</span>. Using
- several sine and cosine operations in sequence allows you to produce a complete sine or cosine
- curve
- <!--l. 477--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-450-" ><colgroup id="TBL-450-1g"><col
-id="TBL-450-1"><col
-id="TBL-450-2"></colgroup><tr
- valign="baseline" id="TBL-450-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-450-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-527.svg" width="153.2807 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-450-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsine{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcosine{\pgfpoint{1cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsine{\pgfpoint{1cm}{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcosine{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 488--><p class="noindent">The command will apply coordinate transformations and update the bounding boxes. </dd></dl>
-<!--l. 493--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.11 </span> <a
- id="x22-22600021.11"></a>Plot Path Operations</h4>
-<!--l. 495--><p class="noindent">There exist several commands for appending plots to a path. These commands are available through the package
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span>. They are documented in Section&nbsp;<a
-href="pgfmanualse29.html#x30-29000029">29<!--tex4ht:ref: section-plots --></a>.
-<!--l. 501--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.12 </span> <a
- id="x22-22700021.12"></a>Rounded Corners</h4>
-<!--l. 503--><p class="noindent">Normally, when you connect two straight line segments or when you connect two curves that end and start &#8220;at
-different angles&#8221; you get &#8220;sharp corners&#8221; between the lines or curves. In some cases it is desirable to produce
-&#8220;rounded corners&#8221; instead. Thus, the lines or curves should be shortened a bit and then connected by
-arcs.
-<!--l. 509--><p class="indent"> <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;offers an easy way to achieve this effect, by calling the following two commands.
-<!--l. 512--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox230"><span
-class="cmtt-10">\pgfsetcornersarced</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-227001"></a>
- <!--l. 513--><p class="noindent">This command causes all subsequent corners to be replaced by little arcs. The effect of this command
- lasts till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;scope.
- <!--l. 517--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>dictates how large the corner arc will be. Consider a corner made by two lines <span
-class="cmmi-10">l </span>and&nbsp;<span
-class="cmmi-10">r</span>
- and assume that the line <span
-class="cmmi-10">l </span>comes first on the path. The <span
-class="cmmi-10">x</span>-dimension of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>decides by how
- much the line&nbsp;<span
-class="cmmi-10">l </span>will be shortened, the <span
-class="cmmi-10">y</span>-dimension of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>decides by how much the line <span
-class="cmmi-10">r </span>will be
- shortened. Then, the shortened lines are connected by an arc.
- <!--l. 524--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-451-" ><colgroup id="TBL-451-1g"><col
-id="TBL-451-1"><col
-id="TBL-451-2"></colgroup><tr
- valign="baseline" id="TBL-451-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-451-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-528.svg" width="115.3439 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-451-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetcornersarced{\pgfpoint{5mm}{5mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectanglecorners{\pgfpointorigin}{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 534--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-452-" ><colgroup id="TBL-452-1g"><col
-id="TBL-452-1"><col
-id="TBL-452-2"></colgroup><tr
- valign="baseline" id="TBL-452-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-452-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-529.svg" width="115.3439 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-452-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetcornersarced{\pgfpoint{10mm}{5mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;10mm</span><span
-class="cmsltt-10x-x-80">&nbsp;entering,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;5mm</span><span
-class="cmsltt-10x-x-80">&nbsp;leaving.</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{0cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcurveto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{3cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{2cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 552--><p class="noindent">If the <span
-class="cmmi-10">x</span>- and <span
-class="cmmi-10">y</span>-coordinates of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>are the same and the corner is a right angle, you will get a perfect
- quarter circle (well, not quite perfect, but perfect up to six decimals). When the angle is not 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>, you only get
- a fair approximation.
- <!--l. 557--><p class="noindent">More or less &#8220;all&#8221; corners will be rounded, even the corner generated by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathclose</span></span></span> command. (The
- author is a bit proud of this feature.)
- <!--l. 561--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-453-" ><colgroup id="TBL-453-1g"><col
-id="TBL-453-1"><col
-id="TBL-453-2"></colgroup><tr
- valign="baseline" id="TBL-453-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-453-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-530.svg" width="70.16187 " height="73.69295 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-453-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetcornersarced{\pgfpoint{4pt}{4pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointpolar{0}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointpolar{72}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointpolar{144}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointpolar{216}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpointpolar{288}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathclose</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 574--><p class="noindent">To return to normal (unrounded) corners, use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetcornersarced{\pgfpointorigin}</span></span></span>.
- <!--l. 577--><p class="noindent">Note that the rounding will produce strange and undesirable effects if the lines at the corners are too short. In
- this case the shortening may cause the lines to &#8220;suddenly extend over the other end&#8221; which is rarely desirable.
- </dd></dl>
-<!--l. 586--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">21.13 </span> <a
- id="x22-22800021.13"></a>Internal Tracking of Bounding Boxes for Paths and Pictures</h4>
-<!--l. 592--><p class="noindent">The path construction commands keep track of two bounding boxes: One for the current path, which is reset
-whenever the path is used and thereby flushed, and a bounding box for the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
-<!--l. 596--><p class="indent"> The bounding boxes are not accessible by &#8220;normal&#8221; macros. Rather, two sets of four dimension variables are
-used for this, all of which contain the letter&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">@</span></span></span>.
-<!--l. 600--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox231"><span
-class="cmtt-10">\pgf@pathminx</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228001"></a>
- <!--l. 601--><p class="noindent">The minimum <span
-class="cmmi-10">x</span>-coordinate &#8220;mentioned&#8221; in the current path. Initially, this is set to 16000pt. </dd></dl>
-<!--l. 605--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox232"><span
-class="cmtt-10">\pgf@pathmaxx</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228002"></a>
- <!--l. 606--><p class="noindent">The maximum <span
-class="cmmi-10">x</span>-coordinate &#8220;mentioned&#8221; in the current path. Initially, this is set to <span
-class="cmsy-10">-</span>16000pt. </dd></dl>
-<!--l. 610--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox233"><span
-class="cmtt-10">\pgf@pathminy</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228003"></a>
- <!--l. 611--><p class="noindent">The minimum <span
-class="cmmi-10">y</span>-coordinate &#8220;mentioned&#8221; in the current path. Initially, this is set to 16000pt. </dd></dl>
-<!--l. 615--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox234"><span
-class="cmtt-10">\pgf@pathmaxy</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228004"></a>
- <!--l. 616--><p class="noindent">The maximum <span
-class="cmmi-10">y</span>-coordinate &#8220;mentioned&#8221; in the current path. Initially, this is set to <span
-class="cmsy-10">-</span>16000pt. </dd></dl>
-<!--l. 620--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox235"><span
-class="cmtt-10">\pgf@picminx</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228005"></a>
- <!--l. 621--><p class="noindent">The minimum <span
-class="cmmi-10">x</span>-coordinate &#8220;mentioned&#8221; in the current picture. Initially, this is set to 16000pt. </dd></dl>
-<!--l. 625--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox236"><span
-class="cmtt-10">\pgf@picmaxx</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228006"></a>
- <!--l. 626--><p class="noindent">The maximum <span
-class="cmmi-10">x</span>-coordinate &#8220;mentioned&#8221; in the current picture. Initially, this is set to <span
-class="cmsy-10">-</span>16000pt. </dd></dl>
-<!--l. 630--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox237"><span
-class="cmtt-10">\pgf@picminy</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228007"></a>
- <!--l. 631--><p class="noindent">The minimum <span
-class="cmmi-10">y</span>-coordinate &#8220;mentioned&#8221; in the current picture. Initially, this is set to 16000pt. </dd></dl>
-
-
-<!--l. 635--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox238"><span
-class="cmtt-10">\pgf@picmaxy</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228008"></a>
- <!--l. 636--><p class="noindent">The maximum <span
-class="cmmi-10">y</span>-coordinate &#8220;mentioned&#8221; in the current picture. Initially, this is set to <span
-class="cmsy-10">-</span>16000pt. </dd></dl>
-<!--l. 641--><p class="indent"> Each time a path construction command is called, the above variables are (globally) updated. To facilitate this,
-you can use the following command:
-<!--l. 645--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox239"><span
-class="cmtt-10">\pgf@protocolsizes</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x-dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y-dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228009"></a>
- <!--l. 646--><p class="noindent">Updates all of the above dimension in such a way that the point specified by the two arguments
- is inside both bounding boxes. For the picture&#8217;s bounding box this updating occurs only if
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgf@relevantforpicturesize</span></span></span> is true, see below. </dd></dl>
-<!--l. 652--><p class="indent"> For the bounding box of the picture it is not always desirable that every path construction command affects this
-bounding box. For example, if you have just used a clip command, you do not want anything outside the clipping
-area to affect the bounding box. For this reason, there exists a special &#8220;<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;if&#8221; that (locally) decides whether
-updating should be applied to the picture&#8217;s bounding box. Clipping will set this if to false, as will certain other
-commands.
-<!--l. 660--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox240"><span
-class="cmtt-10">\pgf@relevantforpicturesizefalse</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228010"></a>
- <!--l. 661--><p class="noindent">Suppresses updating of the picture&#8217;s bounding box. </dd></dl>
-<!--l. 664--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox241"><span
-class="cmtt-10">\pgf@relevantforpicturesizetrue</span></span> </dt><dd
-class="description">
-<a
- id="dx22-228011"></a>
- <!--l. 665--><p class="noindent">Causes updating of the picture&#8217;s bounding box. </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse22.html" >next</a>] [<a
-href="pgfmanualse20.html" >prev</a>] [<a
-href="pgfmanualse20.html#tailpgfmanualse20.html" >prev-tail</a>] [<a
-href="pgfmanualse21.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse21.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse21.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>22 Snakes</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
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- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse23.html" >next</a>] [<a
-href="pgfmanualse21.html" >prev</a>] [<a
-href="pgfmanualse21.html#tailpgfmanualse21.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse22.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse22.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">22 </span> <a
- id="x23-22900022"></a>Snakes</h3>
-<!--l. 12--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">22.1 </span> <a
- id="x23-23000022.1"></a>Overview</h4>
-<!--l. 14--><p class="noindent">A <span
-class="cmti-10">snake </span>is a &#8220;way of adding a winding line to a path.&#8221; To be a bit more precise, you use snakes to extend the path
-and the commands for using snakes start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpath</span></span></span>. However, snakes do not necessarily extend the path using
-line-to and curve-to operations; rather, they can also contain move-to operations and, thereby, cause the path to be
-split into many subpaths.
-<!--l. 21--><p class="indent"> As an example, let us consider a simple snake like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">zigzag</span></span></span> snake. It looks like this:
-<!--l. 24--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-454-" ><colgroup id="TBL-454-1g"><col
-id="TBL-454-1"><col
-id="TBL-454-2"></colgroup><tr
- valign="baseline" id="TBL-454-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-454-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-531.svg" width="115.24718 " height="44.13002 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-454-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</span><span
-class="cmtt-8">&nbsp;(0,-.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,-1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 31--><p class="indent"> The above example demonstrates the two key features of snakes:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x23-230002x1"></a>Snakes are made up from little segments that are repeated several times. For the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">zigzag</span></span></span> snake these
- segements look like this: <object data="pgfmanual-532.svg" width="14.94733 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x23-230004x2"></a>Snakes &#8220;follow along a straight to the target point.&#8221; Thus, when the target point is not to the right of
- the start point, the snake is rotated appropriately.</li></ol>
-<!--l. 44--><p class="indent"> In order to use snakes, they first have to be <span
-class="cmti-10">declared</span>. This declaration contains a detailed description of
-how each segement of the snake looks like and in what ordering the different possible segments are
-used.
-<!--l. 49--><p class="indent"> Once a snake has been declared, it can be used. For this you specify a target point and a snaked line will be
-added from the last point current point to the target point.
-<!--l. 54--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">22.2 </span> <a
- id="x23-23100022.2"></a>Declaring a Snake</h4>
-<!--l. 57--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">22.2.1 </span> <a
- id="x23-23200022.2.1"></a>Segments</h5>
-<!--l. 59--><p class="noindent">When you declare a snake, you provide a description of how the different segments of the snake will be rendered.
-The description of each segment should be given in a way as if the target of the snaked line where at (+<span
-class="cmsy-10"><img
-src="cmsy10-31.png" alt=" oo " class="10x-x-31" /></span><span
-class="cmmi-10">,</span>0) and as
-if the segment&#8217;s start where at the origin. Thus, for example, the segment of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">zigzag</span></span></span> might be defined using the
-following code:
-<!--l. 65--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-455-" ><colgroup id="TBL-455-1g"><col
-id="TBL-455-1"></colgroup><tr
- valign="baseline" id="TBL-455-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-455-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpathlineto{\pgfpoint{5pt}{5pt}}</span>
-<br><span
-class="cmtt-8">\pgfpathlineto{\pgfpoint{15pt}{-5pt}}</span>
-<br><span
-class="cmtt-8">\pgfpathlineto{\pgfpoint{20pt}{0pt}}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 71--><p class="indent"> <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will ensure that an appropriate coordinate transformation is in place when the snake segment is added to
-the path such that the snake segment actually points in the right direction. Also subsequent snake segments will be
-transformed such that they are &#8220;further along the line&#8221; toward the target. All transformations are setup
-automatically.
-
-
-<!--l. 78--><p class="indent"> Note that we did not use a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto{\pgfpointorigin}</span></span></span> at the beginning of the segment code. Doing so
-would subdivide the path into numerous subpath. Rather, we assume that the previous segment caused the current
-point to be at the origin.
-<!--l. 83--><p class="indent"> While we can now describe segments, we still need a way to &#8220;stop&#8221; the snake. Also, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;needs to know the
-width of the different snake segments such that it can translate the next segment correctly. Even though it would be
-possible to compute all this information automatically, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;does not do so and you have to provide the information
-&#8220;by hand&#8221; for each segment.
-<!--l. 91--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">22.2.2 </span> <a
- id="x23-23300022.2.2"></a>Snake Automata</h5>
-<!--l. 93--><p class="noindent">Up to now our snakes only have one segment that is repeated again and again. However, we might also like to have
-<span
-class="cmti-10">different </span>segments and use rules to describe which segment should be used where. For example, we might have
-special segments at the start and at the end.
-<!--l. 98--><p class="indent"> For snakes we use a mechanism known in computer science as <span
-class="cmti-10">finite automata </span>to describe which segment is used
-in each part of the snake. The idea is the following: For the first segment we start in a special <span
-class="cmti-10">state</span>
-called the <span
-class="cmti-10">initial state</span>. In this state, and also in all other state later, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;first computes how much
-space is left on the snake. That is, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;keeps track of the distance to the target. Attached to each
-state there is a set of rules of the following form: &#8220;If the remaining distance is less than <span
-class="cmmi-10">x</span>, switch to
-state&nbsp;<span
-class="cmmi-10">q</span>.&#8221; <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;checks for each of these rules whether it applies and, if so, immediately switches to
-state&nbsp;<span
-class="cmmi-10">q</span>.
-<!--l. 110--><p class="indent"> Only if none of the rules tell us to switch to another state, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will execute the state&#8217;s code. This code will add
-a segment to the path. In addition to the rules there is also width parameter attached to each state. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;then
-translates the coordinate system by this width and reduces the remaining distance. Then, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;either stays in
-the current state or switches to another state, depending on yet another property attached of the
-state.
-<!--l. 119--><p class="indent"> The whole process stops when a special state called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">final</span></span></span> is reached. The segment of this state is added to the
-path immediately (it is often empty, though) and the process ends.
-<!--l. 123--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">22.2.3 </span> <a
- id="x23-23400022.2.3"></a>The Snake Declaration Command</h5>
-<!--l. 126--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox242"><span
-class="cmtt-10">\pgfdeclaresnake</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">initial state</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">states</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-234001"></a>
- <!--l. 127--><p class="noindent">This command declares a new snake called <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">states</span><span
-class="cmsy-10">&gt; </span>argument contains a description of
- the snake automaton&#8217;s states and the transitions between them. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">initial state</span><span
-class="cmsy-10">&gt; </span>is the state in which
- the automaton starts.
- <!--l. 132--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">states</span><span
-class="cmsy-10">&gt; </span>argument should consist of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\state</span></span></span> commands, one for each state of the snake automaton.
- The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\state</span></span></span> command is defined only when the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">states</span><span
-class="cmsy-10">&gt; </span>argument is executed.
-
-
- <!--l. 136--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-456-" ><colgroup id="TBL-456-1g"><col
-id="TBL-456-1"><col
-id="TBL-456-2"></colgroup><tr
- valign="baseline" id="TBL-456-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-456-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-533.svg" width="115.1629 " height="125.8888 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-456-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclaresnake{example</span><span
-class="cmtt-8">&nbsp;snake}{initial}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{initial}[width=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{0pt}{5pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{5pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{-5pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{10pt}{-5pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{10pt}{0pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{final}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{\pgfsnakeremainingdistance}{0pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">}</span>
-<br><span
-class="cmtt-8">\tikz{\draw[snake=example</span><span
-class="cmtt-8">&nbsp;snake]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=example</span><span
-class="cmtt-8">&nbsp;snake]</span><span
-class="cmtt-8">&nbsp;(0,-1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,-3);}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 156--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\state</span></span></span> command works as follows:
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox243"><span
-class="cmtt-10">\state</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-234002"></a>
- <!--l. 158--><p class="noindent">This command declares a new state inside the current snake automaton. The state is names
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 161--><p class="noindent">When <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;is in state <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>, the following things happen:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x23-234004x1"></a>The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are parsed. This may lead, see below, to a state switch. When this happens,
- the following steps are not executed. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are executed one after the other in the
- given order. If an option causes a state switch, the switch is immediate, even if later options
- might cause a different state switch.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x23-234006x2"></a>The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed. When this happens, the coordinate transformation will be setup such
- that the origin is at the start of the segment and such that the target lies in the direction
- &#8220;east.&#8221;
- </li>
- <li class="enumerate" value="3"
-><a
- id="x23-234008x3"></a>After the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>has been executed, the state switches to whatever state has been specified
- inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">next</span><span
-class="cmtt-10">&nbsp;state</span></span></span> option. If no <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">next</span><span
-class="cmtt-10">&nbsp;state</span></span></span> has been specified, the
- state stays the same.</li></ol>
- <!--l. 183--><p class="noindent">The following options are allowed inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span>:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">switch if less than</span><a
- id="dx23-234009"></a><a
- id="dx23-234010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;to</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new state</span><span
-class="cmsy-10">&gt; </span>When this option is encountered,
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;checks whether the remaining distance to the target is less than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. If so, an
- immediate state switch to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new state</span><span
-class="cmsy-10">&gt; </span>occurs.
- </li>
- <li class="itemize"><span
-class="cmtt-10">width</span><a
- id="dx23-234011"></a><a
- id="dx23-234012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option tells <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;the width of the segment if it is appended to the
- path. The coordinate system will, afterward, be translated by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>to ensure that the
- next segment starts where the current one ended.
- <!--l. 196--><p class="noindent">In addition, this option will cause an immediate switch to the state <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">final</span></span></span> if the
- remaining distance is less than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. The effect is the same as if you had said
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">switch</span><span
-class="cmtt-10">&nbsp;if</span><span
-class="cmtt-10">&nbsp;less</span><span
-class="cmtt-10">&nbsp;than=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;to</span><span
-class="cmtt-10">&nbsp;final</span></span></span> just before the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">width</span></span></span> option.
- </li>
- <li class="itemize"><span
-class="cmtt-10">next state</span><a
- id="dx23-234013"></a><a
- id="dx23-234014"></a>=<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new state</span><span
-class="cmsy-10">&gt; </span>After the segment has been added to the path, a state switch to
-
-
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new state</span><span
-class="cmsy-10">&gt; </span>is performed. If this option is not given, the next state is the same as the current
- state.</li></ul>
- <!--l. 207--><p class="noindent">There are two dimensions that are useful inside snake automata:
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox244"><span
-class="cmtt-10">\pgfsnakeremainingdistance</span></span> </dt><dd
-class="description">
-<a
- id="dx23-234015"></a>
- <!--l. 209--><p class="noindent">This <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension holds the remaining distance to the target. </dd></dl>
- <!--l. 211--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox245"><span
-class="cmtt-10">\pgfsnakecompleteddistance</span></span> </dt><dd
-class="description">
-<a
- id="dx23-234016"></a>
- <!--l. 212--><p class="noindent">This <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension holds the distance already completed on the snake. </dd></dl>
- </dd></dl>
- <!--l. 217--><p class="noindent">As a final example we present a more complicated snake that makes use of the different options:
-
-
- <!--l. 219--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-457-" ><colgroup id="TBL-457-1g"><col
-id="TBL-457-1"><col
-id="TBL-457-2"></colgroup><tr
- valign="baseline" id="TBL-457-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-457-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-534.svg" width="119.80125 " height="244.3185 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-457-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclaresnake{complicated</span><span
-class="cmtt-8">&nbsp;example</span><span
-class="cmtt-8">&nbsp;snake}{initial}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{initial}[width=5pt,next</span><span
-class="cmtt-8">&nbsp;state=up]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{0pt}}</span><span
-class="cmtt-8">&nbsp;}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{up}[width=5pt,next</span><span
-class="cmtt-8">&nbsp;state=down]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\ifdim\pgfsnakeremainingdistance&gt;\pgfsnakecompleteddistance</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Growing</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{0pt}{\pgfsnakecompleteddistance}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{\pgfsnakecompleteddistance}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{0pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\else</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Shrinking</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{0pt}{\pgfsnakeremainingdistance}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{\pgfsnakeremainingdistance}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{0pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fi</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{down}[width=5pt,next</span><span
-class="cmtt-8">&nbsp;state=up]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\ifdim\pgfsnakeremainingdistance&gt;\pgfsnakecompleteddistance</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Growing</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{0pt}{-\pgfsnakecompleteddistance}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{-\pgfsnakecompleteddistance}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{0pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\else</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Shrinking</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{0pt}{-\pgfsnakeremainingdistance}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{-\pgfsnakeremainingdistance}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{5pt}{0pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fi</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\state{final}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{\pgfsnakeremainingdistance}{0pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">}</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[snake=complicated</span><span
-class="cmtt-8">&nbsp;example</span><span
-class="cmtt-8">&nbsp;snake]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red!50,snake,rounded</span><span
-class="cmtt-8">&nbsp;corners=2pt]</span><span
-class="cmtt-8">&nbsp;(.5,-2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(2.5,-2.5)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[snake=none]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(0,-.5)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(0,-2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 267--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">22.2.4 </span> <a
- id="x23-23500022.2.4"></a>Predefined Snakes</h5>
-<!--l. 269--><p class="noindent">Only two very simple and basic snakes are predefined when you load <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. For more interesting snakes you can use
-the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibrarysnakes</span></span></span>.
-<!--l. 273--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox246">Snake <span
-class="cmtt-10">lineto</span></span> </dt><dd
-class="description">
-<a
- id="dx23-235001"></a>
-<a
- id="dx23-235002"></a>
- <!--l. 274--><p class="noindent">This most trivial of all snakes is simply a straight line. This snake is typically not used in a &#8220;stand
- alone&#8221; fashion. Rather, it is useful as a &#8220;subsnake&#8221; of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesto</span></span></span> command. </dd></dl>
-<!--l. 279--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox247">Snake <span
-class="cmtt-10">moveto</span></span> </dt><dd
-class="description">
-<a
- id="dx23-235003"></a>
-<a
- id="dx23-235004"></a>
- <!--l. 280--><p class="noindent">Arguably, this snake is even simpler than the previous snake. This snake consists of a simple move-to
- operation. Like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">lineto</span></span></span> snake, it is useful as a &#8220;subsnake&#8221; of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakesto</span></span></span> command. </dd></dl>
-<!--l. 288--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">22.3 </span> <a
- id="x23-23600022.3"></a>Using Snakes</h4>
-<!--l. 290--><p class="noindent">Three commands can be used to use a snake.
-<!--l. 292--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox248"><span
-class="cmtt-10">\pgfpathsnakealongvector</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">length</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-236001"></a>
- <!--l. 293--><p class="noindent">This command will append the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake</span><span
-class="cmsy-10">&gt; </span>to the current path. The length of the snake is given by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">length</span><span
-class="cmsy-10">&gt;</span>. The
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">vector</span><span
-class="cmsy-10">&gt; </span>should be a normalizes vector (a vector having length <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1pt</span></span></span>) pointing in the direction in which the
- snake should grow.
- <!--l. 297--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-458-" ><colgroup id="TBL-458-1g"><col
-id="TBL-458-1"><col
-id="TBL-458-2"></colgroup><tr
- valign="baseline" id="TBL-458-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-458-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-535.svg" width="115.07718 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-458-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsnakealongvector{zigzag}{2cm}{\pgfpointpolar{30}{1pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 307--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox249"><span
-class="cmtt-10">\pgfpathsnakesto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-236002"></a>
- <!--l. 308--><p class="noindent">This command will append the snakes in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake list</span><span
-class="cmsy-10">&gt; </span>to the current path such that it ends at
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>. This command calls the previous one (repeatedly, possibly) after having computed the distance
- from the current point to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt; </span>and normalized the vector connecting the current point to the target.
- <!--l. 314--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake list</span><span
-class="cmsy-10">&gt; </span>is a comma-separated list of pairs consisting of a snake name in curly braces and a
- distance in curly braces. For example, a snake list might be <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{lineto}{1cm},{moveto}{2cm}</span></span></span>. This is
- interpreted as follows: Use a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">lineto</span></span></span> snake for the first centimeter of the way to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt;</span>, then use
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">moveto</span></span></span> snake for the next two centimeters.
- <!--l. 321--><p class="noindent">No attempt is made to check or ensure that the distances of the &#8220;subsnakes&#8217; add up to the distnace
- from the current point to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt;</span>. However, it is possible to refer to this distance inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake</span>
- <span
-class="cmti-10">list</span><span
-class="cmsy-10">&gt;</span>: While the snake list is processed, the two <span class="TEX">T<span
-class="E">E</span>X</span>-dimensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakeremainingdistance</span></span></span> and
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakecompleteddistance</span></span></span> will be set to the correct values. For example, consider the example
-
-
- from a above, consisting of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">lineto</span></span></span> and a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">moveto</span></span></span> snake. Suppose the distance to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt; </span>where 5cm.
- Then, when the length of the first subsnake is computed, the remaining distance willbe set to 5cm and
- the completed distance to 0cm. When the length of the second subsnake is computed, the remaining
- distance wil be 4cm and the completed distance will be 1cm.
- <!--l. 335--><p class="noindent">Here are some useful examles: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{zigzag}{\pgfsnakeremainingdistance}</span></span></span> is a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake list</span><span
-class="cmsy-10">&gt; </span>that consists only of
- a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">zigzag</span></span></span> snake whose length is the total distance from the current point to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt;</span>. Next, to get a snake
- that is a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">zigzag</span></span></span> snake that is preceeded and succeeded by 3mm of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">lineto</span></span></span>, you can use the
- following:
- <!--l. 341--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-459-" ><colgroup id="TBL-459-1g"><col
-id="TBL-459-1"><col
-id="TBL-459-2"></colgroup><tr
- valign="baseline" id="TBL-459-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-459-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-536.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-459-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines](0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsnakesto{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{lineto}{3mm},</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{zigzag}{\pgfsnakeremainingdistance-6mm},</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{lineto}{3mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 354--><p class="noindent">Note that the computation of the distance may be imprecise. In general, the placement precision of the snakes
- will not be perfect. </dd></dl>
-<!--l. 358--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox250"><span
-class="cmtt-10">\pgfpathsnaketo</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">target</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-236003"></a>
- <!--l. 359--><p class="noindent">This command is just a shortcut for calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathsnakesto</span></span></span> for a single snake whose length is
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsnakeremainingdistance</span></span></span>.
- <!--l. 361--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-460-" ><colgroup id="TBL-460-1g"><col
-id="TBL-460-1"><col
-id="TBL-460-2"></colgroup><tr
- valign="baseline" id="TBL-460-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-460-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-537.svg" width="115.2013 " height="77.2684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-460-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathsnaketo{zigzag}{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 371--><p class="indent"> As was already mentioned, when each segment of the snake is added to the path, an appropriate coordinate
-transformation will be in force. It is sometimes useful to add an additional transformation locally. For
-example, by reflecting everything around the <span
-class="cmmi-10">x</span>-axis right before each segment is added, the snake will
-effectively be mirrored along the path. The following command allows you to install such a &#8220;last minute
-transformation.&#8221;
-<!--l. 379--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox251"><span
-class="cmtt-10">\pgfsetsnakesegmenttransformation</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx23-236004"></a>
- <!--l. 380--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will be executed at the very beginning of each segment. Normally, this be a transformation
- command that changes the <span
-class="cmmi-10">y</span>-axis in some way. </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse23.html" >next</a>] [<a
-href="pgfmanualse21.html" >prev</a>] [<a
-href="pgfmanualse21.html#tailpgfmanualse21.html" >prev-tail</a>] [<a
-href="pgfmanualse22.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse22.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse22.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>23 Using Paths</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse24.html" >next</a>] [<a
-href="pgfmanualse22.html" >prev</a>] [<a
-href="pgfmanualse22.html#tailpgfmanualse22.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse23.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse23.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">23 </span> <a
- id="x24-23700023"></a>Using Paths</h3>
-<!--l. 10--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">23.1 </span> <a
- id="x24-23800023.1"></a>Overview</h4>
-<!--l. 12--><p class="noindent">Once a path has been constructed, it can be <span
-class="cmti-10">used </span>in different ways. For example, you can draw the path or fill it or
-use it for clipping.
-<!--l. 16--><p class="indent"> Numerous graph parameters influence how a path will be rendered. For example, when you draw a path,
-the line width is important as well as the dashing pattern. The options that govern how paths are
-rendered can all be set with commands starting with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfset</span></span></span>. <span
-class="cmti-10">All options that influence how a path is</span>
-<span
-class="cmti-10">rendered always influence the complete path. </span>Thus, it is not possible to draw part of a path using, say, a
-red color and drawing another part using a green color. To achieve such an effect, you must use two
-paths.
-<!--l. 25--><p class="indent"> In detail, paths can be used in the following ways:
-<!--l. 27--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x24-238002x1"></a>You can <span
-class="cmti-10">stroke </span>(also known as <span
-class="cmti-10">draw</span>) a path.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x24-238004x2"></a>You can <span
-class="cmti-10">fill </span>a path with a uniform color.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x24-238006x3"></a>You can <span
-class="cmti-10">clip </span>subsequent renderings against the path.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x24-238008x4"></a>You can <span
-class="cmti-10">shade </span>a path.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x24-238010x5"></a>You can <span
-class="cmti-10">use the path as bounding box </span>for the whole picture.</li></ol>
-<!--l. 39--><p class="noindent">You can also perform any combination of the above, though it makes no sense to fill and shade a path at the same
-time.
-<!--l. 42--><p class="indent"> To perform (a combination of) the first three actions, you can use the following command:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox252"><span
-class="cmtt-10">\pgfusepath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">actions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-238011"></a>
- <!--l. 45--><p class="noindent">Applies the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">actions</span><span
-class="cmsy-10">&gt; </span>to the current path. Afterwards, the current path is (globally) empty. The
- following actions are possible:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> fills the path. See Section&nbsp;<a
-href="#x24-24600023.3">23.3<!--tex4ht:ref: section-fill --></a> for further details.
- <!--l. 51--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-461-" ><colgroup id="TBL-461-1g"><col
-id="TBL-461-1"><col
-id="TBL-461-2"></colgroup><tr
- valign="baseline" id="TBL-461-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-461-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-538.svg" width="38.93684 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-461-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">stroke</span></span></span> strokes the path. See Section&nbsp;<a
-href="#x24-23900023.2">23.2<!--tex4ht:ref: section-stroke --></a> for further details.
- <!--l. 61--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-462-" ><colgroup id="TBL-462-1g"><col
-id="TBL-462-1"><col
-id="TBL-462-2"></colgroup><tr
- valign="baseline" id="TBL-462-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-462-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-539.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-462-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> clips all subsequent drawings against the path. See Section&nbsp;<a
-href="#x24-25000023.4">23.4<!--tex4ht:ref: section-clip --></a> for further details.
- <!--l. 72--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-463-" ><colgroup id="TBL-463-1g"><col
-id="TBL-463-1"><col
-id="TBL-463-2"></colgroup><tr
- valign="baseline" id="TBL-463-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-463-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-540.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-463-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke,clip}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{1cm}{1cm}}{0.5cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">discard</span></span></span> discards the path, that is, it is not used at all. Giving this option (alone) has the same effect as
- giving an empty options list.</li></ul>
- <!--l. 87--><p class="noindent">When more than one of the first three actions are given, they are applied in the above ordering, regardless of
- their ordering in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">actions</span><span
-class="cmsy-10">&gt;</span>. Thus, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{stroke,fill}</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{fill,stroke}</span></span></span> have the same effect.
- </dd></dl>
-<!--l. 93--><p class="indent"> To shade a path, use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshadepath</span></span></span> command, which is explained in Section&nbsp;<a
-href="pgfmanualse28.html#x29-28600028">28<!--tex4ht:ref: section-shadings --></a>.
-<!--l. 98--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">23.2 </span> <a
- id="x24-23900023.2"></a>Stroking a Path</h4>
-<!--l. 101--><p class="noindent">When you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath{stroke}</span></span></span> to stroke a path, several graphic parameters influence how the path is drawn.
-The commands for setting these parameters are explained in the following.
-<!--l. 105--><p class="indent"> Note that all graphic parameters apply to the path as a whole, never only to a part of it.
-<!--l. 108--><p class="indent"> All graphic parameters are local to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>, but they persists past <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups, <span
-class="cmti-10">except </span>for
-the interior rule (even-odd or nonzero) and the arrow tip kinds. The latter graphic parameters only
-persist till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group, but this may change in the future, so do not count on
-this.
-<!--l. 114--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.1 </span> <a
- id="x24-24000023.2.1"></a>Graphic Parameter: Line Width</h5>
-<!--l. 116--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox253"><span
-class="cmtt-10">\pgfsetlinewidth</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">line width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-240001"></a>
- <!--l. 117--><p class="noindent">This command sets the line width for subsequent strokes (in the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfscope</span></span></span>). The line width is
- given as a normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.4pt</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1mm</span></span></span>.
-
-
- <!--l. 121--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-464-" ><colgroup id="TBL-464-1g"><col
-id="TBL-464-1"><col
-id="TBL-464-2"></colgroup><tr
- valign="baseline" id="TBL-464-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-464-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-541.svg" width="84.46104 " height="25.65889 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-464-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0mm}{0mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{0mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{2\pgflinewidth}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;double</span><span
-class="cmsltt-10x-x-80">&nbsp;in</span><span
-class="cmsltt-10x-x-80">&nbsp;size</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0mm}{5mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{5mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 135--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox254"><span
-class="cmtt-10">\pgflinewidth</span></span> </dt><dd
-class="description">
-<a
- id="dx24-240002"></a>
- <!--l. 136--><p class="noindent">You can access the current line width via the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflinewidth</span></span></span>. It will be set to the
- correct line width, that is, even when a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group closed, the value will be correct since it is set
- globally, but when a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> closes, the value is set to the correct value it had before the scope. </dd></dl>
-<!--l. 144--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.2 </span> <a
- id="x24-24100023.2.2"></a>Graphic Parameter: Caps and Joins</h5>
-<!--l. 146--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox255"><span
-class="cmtt-10">\pgfsetbuttcap</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241001"></a>
- <!--l. 147--><p class="noindent">Sets the line cap to a butt cap. See Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a> for an explanation of what this is. </dd></dl>
-<!--l. 150--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox256"><span
-class="cmtt-10">\pgfsetroundcap</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241002"></a>
- <!--l. 151--><p class="noindent">Sets the line cap to a round cap. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 154--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox257"><span
-class="cmtt-10">\pgfsetrectcap</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241003"></a>
- <!--l. 155--><p class="noindent">Sets the line cap to a square cap. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 158--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox258"><span
-class="cmtt-10">\pgfsetroundjoin</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241004"></a>
- <!--l. 159--><p class="noindent">Sets the line join to a round join. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 162--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox259"><span
-class="cmtt-10">\pgfsetbeveljoin</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241005"></a>
- <!--l. 163--><p class="noindent">Sets the line join to a bevel join. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 166--><p class="noindent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox260"><span
-class="cmtt-10">\pgfsetmiterjoin</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241006"></a>
- <!--l. 167--><p class="noindent">Sets the line join to a miter join. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 170--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox261"><span
-class="cmtt-10">\pgfsetmiterlimit</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">miter limit factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-241007"></a>
- <!--l. 171--><p class="noindent">Sets the miter limit to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">miter limit factor</span><span
-class="cmsy-10">&gt;</span>. See again Section&nbsp;<a
-href="pgfmanualse10.html#x11-12300010.2.1">10.2.1<!--tex4ht:ref: section-cap-joins --></a>. </dd></dl>
-<!--l. 175--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.3 </span> <a
- id="x24-24200023.2.3"></a>Graphic Parameter: Dashing</h5>
-<!--l. 177--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox262"><span
-class="cmtt-10">\pgfsetdash</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list of even length of dimensions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">phase</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-242001"></a>
- <!--l. 178--><p class="noindent">Sets the dashing of a line. The first entry in the list specifies the length of the first solid part of the
- list. The second entry specifies the length of the following gap. Then comes the length of the second
- solid part, following by the length of the second gap, and so on. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">phase</span><span
-class="cmsy-10">&gt; </span>specifies where the first
- solid part starts relative to the beginning of the line.
- <!--l. 185--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-465-" ><colgroup id="TBL-465-1g"><col
-id="TBL-465-1"><col
-id="TBL-465-2"></colgroup><tr
- valign="baseline" id="TBL-465-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-465-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-542.svg" width="77.40703 " height="9.12067 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-465-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetdash{{0.5cm}{0.5cm}{0.1cm}{0.2cm}}{0cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0mm}{0mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{0mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetdash{{0.5cm}{0.5cm}{0.1cm}{0.2cm}}{0.1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0mm}{1mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{1mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetdash{{0.5cm}{0.5cm}{0.1cm}{0.2cm}}{0.2cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0mm}{2mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{2mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 202--><p class="noindent">Use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetdash{}{0pt}</span></span></span> to get a solid dashing. </dd></dl>
-<!--l. 205--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.4 </span> <a
- id="x24-24300023.2.4"></a>Graphic Parameter: Stroke Color</h5>
-<!--l. 207--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox263"><span
-class="cmtt-10">\pgfsetstrokecolor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-243001"></a>
- <!--l. 208--><p class="noindent">Sets the color used for stroking lines to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span>, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>is a <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;color like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">red</span></span></span> or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">black!20!red</span></span></span>. Unlike the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command, the effect of this command lasts till the end of the current
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> and not till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group.
- <!--l. 214--><p class="noindent">The color used for stroking may be different from the color used for filling. However, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command
- will always &#8220;immediately override&#8221; any special settings for the stroke and fill colors.
- <!--l. 218--><p class="noindent">In plain <span class="TEX">T<span
-class="E">E</span>X</span>, this command will also work, but the problem of <span
-class="cmti-10">defining </span>a color arises. After all, plain
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;does not provide <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;colors. For this reason, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;implements a minimalistic &#8220;emulation&#8221; of
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\definecolor</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\colorlet</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> commands. Only gray-scale and rgb colors are supported.
- For most cases this turns out to be enough.
-
-
- <!--l. 225--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-466-" ><colgroup id="TBL-466-1g"><col
-id="TBL-466-1"><col
-id="TBL-466-2"></colgroup><tr
- valign="baseline" id="TBL-466-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-466-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-543.svg" width="100.96912 " height="25.0954 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-466-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{0cm}{0cm}}{3mm}</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetstrokecolor{black}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{1cm}{0cm}}{3mm}</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{2cm}{0cm}}{3mm}</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill,stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 238--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox264"><span
-class="cmtt-10">\pgfsetcolor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-243002"></a>
- <!--l. 239--><p class="noindent">Sets both the stroke and fill color. The difference to the normal <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command is that the effect
- lasts till the end of the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>, not only till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group. </dd></dl>
-<!--l. 246--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.5 </span> <a
- id="x24-24400023.2.5"></a>Graphic Parameter: Stroke Opacity</h5>
-<!--l. 248--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox265"><span
-class="cmtt-10">\pgfsetstrokeopacity</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-244001"></a>
- <!--l. 249--><p class="noindent">Sets the opacity of stroking operations. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>should be a number between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span>, where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span>
- means &#8220;fully opaque&#8221; and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0</span></span></span> means &#8220;fully transparent.&#8221; A value like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> will cause paths to be stroked
- in a semitransparent way.
- <!--l. 254--><p class="noindent"><span
-class="cmti-10">Note: </span>For PostScript output, opacity is rendered correctly only with the most recent versions of
- GhostScript. Printers and other programs will ignore the opacity setting.
- <!--l. 258--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-467-" ><colgroup id="TBL-467-1g"><col
-id="TBL-467-1"><col
-id="TBL-467-2"></colgroup><tr
- valign="baseline" id="TBL-467-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-467-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-544.svg" width="133.77893 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-467-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{5mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{0cm}{0cm}}{10mm}</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{black}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetstrokeopacity{0.5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{1cm}{0cm}}{10mm}</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 271--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.2.6 </span> <a
- id="x24-24500023.2.6"></a>Graphic Parameter: Arrows</h5>
-<!--l. 273--><p class="noindent">After a path has been drawn, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;can add arrow tips at the ends. Currently, it will only add arrows correctly at the
-end of paths that consist of a single open part. For other paths, like closed paths or path consisting of multiple
-parts, the result is not defined.
-<!--l. 278--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox266"><span
-class="cmtt-10">\pgfsetarrowsstart</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">arrow kind</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-245001"></a>
- <!--l. 279--><p class="noindent">Sets the arrow tip kind used at the start of a (possibly curved) path. When this option is used, the
- line will often be slightly shortened to ensure that the tip of the arrow will exactly &#8220;touch&#8221; the &#8220;real&#8221;
- start of the line.
- <!--l. 284--><p class="noindent">To &#8220;clear&#8221; the start arrow, say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetarrowsstart{}</span></span></span>.
- <!--l. 285--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-468-" ><colgroup id="TBL-468-1g"><col
-id="TBL-468-1"><col
-id="TBL-468-2"></colgroup><tr
- valign="baseline" id="TBL-468-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-468-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-545.svg" width="39.47017 " height="9.12067 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-468-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrowsstart{latex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrowsstart{to}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{0cm}{2mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{2mm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 298--><p class="noindent">The effect of this command persists only till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;scope.
- <!--l. 301--><p class="noindent">The different possible arrow kinds are explained in Section&nbsp;<a
-href="pgfmanualse24.html#x25-25200024">24<!--tex4ht:ref: section-arrows --></a>. </dd></dl>
-<!--l. 305--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox267"><span
-class="cmtt-10">\pgfsetarrowsend</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">arrow kind</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-245002"></a>
- <!--l. 306--><p class="noindent">Sets the arrow tip kind used at the end of a path.
- <!--l. 307--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-469-" ><colgroup id="TBL-469-1g"><col
-id="TBL-469-1"><col
-id="TBL-469-2"></colgroup><tr
- valign="baseline" id="TBL-469-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-469-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-546.svg" width="39.47017 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-469-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrowsstart{latex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrowsend{to}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 318--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox268"><span
-class="cmtt-10">\pgfsetarrows</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start kind</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end kind</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-245003"></a>
- <!--l. 319--><p class="noindent">Sets the start arrow kind to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start kind</span><span
-class="cmsy-10">&gt; </span>and the end kind to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end kind</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 321--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-470-" ><colgroup id="TBL-470-1g"><col
-id="TBL-470-1"><col
-id="TBL-470-2"></colgroup><tr
- valign="baseline" id="TBL-470-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-470-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-547.svg" width="39.47017 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-470-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrows{latex-to}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 331--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox269"><span
-class="cmtt-10">\pgfsetshortenstart</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-245004"></a>
- <!--l. 332--><p class="noindent">This command will shortened the start of every stroked path by the given dimension. This shortening
- is done in addition to automatic shortening done by a start arrow, but it can be used even if no start
- arrow is given.
-
-
- <!--l. 337--><p class="noindent">This command is useful if you wish arrows or lines to &#8220;stop shortly before&#8221; a given point.
- <!--l. 339--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-471-" ><colgroup id="TBL-471-1g"><col
-id="TBL-471-1"><col
-id="TBL-471-2"></colgroup><tr
- valign="baseline" id="TBL-471-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-471-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-548.svg" width="96.37544 " height="39.47014 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-471-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointorigin}{5mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrows{latex-}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetshortenstart{4pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{5mm}{0cm}}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;would</span><span
-class="cmsltt-10x-x-80">&nbsp;be</span><span
-class="cmsltt-10x-x-80">&nbsp;on</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;circle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 352--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox270"><span
-class="cmtt-10">\pgfsetshortenend</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-245005"></a>
- <!--l. 353--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetshortenstart</span></span></span>. </dd></dl>
-<!--l. 358--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">23.3 </span> <a
- id="x24-24600023.3"></a>Filling a Path</h4>
-<!--l. 361--><p class="noindent">Filling a path means coloring every interior point of the path with the current fill color. It is not always obvious
-whether a point is &#8220;inside&#8221; a path when the path is self-intersecting and/or consists or multiple parts. In this case
-either the nonzero winding number rule or the even-odd crossing number rule is used to decide, which points lie
-&#8220;inside.&#8221; These rules are explained in Section&nbsp;<a
-href="pgfmanualse10.html#x11-12800010.3">10.3<!--tex4ht:ref: section-rules --></a>.
-<!--l. 369--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.3.1 </span> <a
- id="x24-24700023.3.1"></a>Graphic Parameter: Interior Rule</h5>
-<!--l. 371--><p class="noindent">You can set which rule is used using the following commands:
-<!--l. 373--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox271"><span
-class="cmtt-10">\pgfseteorule</span></span> </dt><dd
-class="description">
-<a
- id="dx24-247001"></a>
- <!--l. 374--><p class="noindent">Dictates that the even-odd rule is used in subsequent fillings in the current <span class="TEX"><span
-class="cmti-10">T</span><span
-class="E"><span
-class="cmti-10">E</span></span><span
-class="cmti-10">X</span></span><span
-class="cmti-10">&nbsp;scope</span>. Thus, for once,
- the effect of this command does not persist past the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;scope.
- <!--l. 378--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-472-" ><colgroup id="TBL-472-1g"><col
-id="TBL-472-1"><col
-id="TBL-472-2"></colgroup><tr
- valign="baseline" id="TBL-472-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-472-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-549.svg" width="73.07997 " height="54.11157 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-472-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfseteorule</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{0mm}{0cm}}{7mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{5mm}{0cm}}{7mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 388--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox272"><span
-class="cmtt-10">\pgfsetnonzerorule</span></span> </dt><dd
-class="description">
-<a
- id="dx24-247002"></a>
-
-
- <!--l. 389--><p class="noindent">Dictates that the nonzero winding number rule is used in subsequent fillings in the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;scope.
- This is the default.
- <!--l. 392--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-473-" ><colgroup id="TBL-473-1g"><col
-id="TBL-473-1"><col
-id="TBL-473-2"></colgroup><tr
- valign="baseline" id="TBL-473-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-473-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-550.svg" width="73.07997 " height="54.11157 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-473-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetnonzerorule</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{0mm}{0cm}}{7mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{5mm}{0cm}}{7mm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 402--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.3.2 </span> <a
- id="x24-24800023.3.2"></a>Graphic Parameter: Filling Color</h5>
-<!--l. 404--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox273"><span
-class="cmtt-10">\pgfsetfillcolor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-248001"></a>
- <!--l. 405--><p class="noindent">Sets the color used for filling paths to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt;</span>. Like the stroke color, the effect lasts only till the next
- use of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span>. </dd></dl>
-<!--l. 410--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">23.3.3 </span> <a
- id="x24-24900023.3.3"></a>Graphic Parameter: Fill Opacity</h5>
-<!--l. 412--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox274"><span
-class="cmtt-10">\pgfsetfillopacity</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx24-249001"></a>
- <!--l. 413--><p class="noindent">Sets the opacity of filling operations. As for stroking, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>should be a number between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0</span></span></span> and&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span>.
- <!--l. 416--><p class="noindent">The &#8220;filling transparency&#8221; will also be used for text and images.
- <!--l. 418--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-474-" ><colgroup id="TBL-474-1g"><col
-id="TBL-474-1"><col
-id="TBL-474-2"></colgroup><tr
- valign="baseline" id="TBL-474-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-474-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-551.svg" width="150.16975 " height="141.36632 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-474-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillopacity{0.5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(90:1cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(11mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[green]</span><span
-class="cmtt-8">&nbsp;(210:1cm)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(11mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(-30:1cm)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(11mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-<!--l. 428--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">23.4 </span> <a
- id="x24-25000023.4"></a>Clipping a Path</h4>
-<!--l. 431--><p class="noindent">When you add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> option, the current path is used for clipping subsequent drawings. The same rule as for
-filling is used to decide whether a point is inside or outside the path, that is, either the even-odd rule or the nonzero
-rule.
-<!--l. 436--><p class="indent"> Clipping never enlarges the clipping area. Thus, when you clip against a certain path and then clip again against
-another path, you clip against the intersection of both.
-<!--l. 440--><p class="indent"> The only way to enlarge the clipping path is to end the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> in which the clipping was
-done. At the end of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> the clipping path that was in force at the beginning of the scope is
-reinstalled.
-<!--l. 445--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">23.5 </span> <a
- id="x24-25100023.5"></a>Using a Path as a Bounding Box</h4>
-<!--l. 448--><p class="noindent">When you add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box</span></span></span> option, the bounding box of the picture will be enlarged such that the
-path in encompassed, but any <span
-class="cmti-10">subsequent </span>paths of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;scope will not have any effect on the
-size of the bounding box. Typically, you use this command at the very beginning of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>
-environment.
-<!--l. 454--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-475-" ><colgroup id="TBL-475-1g"><col
-id="TBL-475-1"><col
-id="TBL-475-2"></colgroup><tr
- valign="baseline" id="TBL-475-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-475-1-1"
-class="td11"> &nbsp;Left<object data="pgfmanual-552.svg" width="12.4814 " height="6.74069 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>right.&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-475-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">Left</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{use</span><span
-class="cmtt-8">&nbsp;as</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;draws</span><span
-class="cmsltt-10x-x-80">&nbsp;nothing</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointorigin}{2ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span>
-<br><span
-class="cmtt-8">right.</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse24.html" >next</a>] [<a
-href="pgfmanualse22.html" >prev</a>] [<a
-href="pgfmanualse22.html#tailpgfmanualse22.html" >prev-tail</a>] [<a
-href="pgfmanualse23.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse23.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse23.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse24.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse24.html
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@@ -1,1367 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>24 Arrow Tips</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse25.html" >next</a>] [<a
-href="pgfmanualse23.html" >prev</a>] [<a
-href="pgfmanualse23.html#tailpgfmanualse23.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse24.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse24.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">24 </span> <a
- id="x25-25200024"></a>Arrow Tips</h3>
-<!--l. 12--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">24.1 </span> <a
- id="x25-25300024.1"></a>Overview</h4>
-<!--l. 14--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">24.1.1 </span> <a
- id="x25-25400024.1.1"></a>When Does PGF Draw Arrow Tips?</h5>
-<!--l. 16--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;offers an interface for placing <span
-class="cmti-10">arrow tips </span>at the end of lines. The interface works as follows:
-<!--l. 19--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x25-254002x1"></a>You (or someone else) assigns a name to a certain kind of arrow tips. For example, the arrow tip <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span>
- is the arrow tip used by the standard <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;picture environment; the arrow tip <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">to</span></span></span> looks like the tip
- of the arrow in <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\to</span></span></span> command; and so on.
- <!--l. 27--><p class="noindent">This is done once at the beginning of the document.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x25-254004x2"></a>Inside some picture, at some point you specify that in the current scope from now on you would like
- tips of, say, kind <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">to</span></span></span> to be added at the end and/or beginning of all paths.
- <!--l. 33--><p class="noindent">When an arrow kind has been installed and when <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;is about to stroke a path, the following things
- happen:
- <ol type="a" class="enumerate2" >
- <li class="enumerate" value="1"
-><a
- id="x25-254006x1"></a>The beginning and/or end of the path is shortened appropriately.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x25-254008x2"></a>The path is stroked.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x25-254010x3"></a>The arrow tip is drawn at the beginning and/or end of the path, appropriately rotated and
- appropriately resized.</li></ol>
- </li></ol>
-<!--l. 46--><p class="indent"> In the above description, there are a number of &#8220;appropriately.&#8221; The exact details are not quite trivial and
-described later on.
-<!--l. 49--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">24.1.2 </span> <a
- id="x25-25500024.1.2"></a>Meta-Arrow Tips</h5>
-<!--l. 51--><p class="noindent">In <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, arrows are &#8220;meta-arrows&#8221; in the same way that fonts in <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;are &#8220;meta-fonts.&#8221; When a meta-arrow is
-resized, it is not simply scaled, but a possibly complicated transformation is applied to the size.
-<!--l. 56--><p class="indent"> A meta-font is not one particular font at a specific size with a specific stroke width (and with a large number of
-other parameters being fixed). Rather, it is a &#8220;blueprint&#8221; (actually, more like a program) for generating such a font
-at a particular size and width. This allows the designer of a meta-font to make sure that, say, the font is
-somewhat thicker and wider at very small sizes. To appreciate the difference: Compare the following
-texts: &#8220;Berlin&#8221; and &#8220;<object data="pgfmanual-553.svg" width="49.57451 " height="10.25916 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&#8221;. The first is a &#8220;normal&#8221; text, the second is the tiny version scaled
-by a factor of two. Obviously, the first look better. Now, compare &#8220;<object data="pgfmanual-554.svg" width="18.70366 " height="5.6296 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&#8221; and &#8220;<span
-class="cmr-5">Berlin</span>&#8221;. This time, the
-normal text was scaled down, while the second text is a &#8220;normal&#8221; tiny text. The second text is easier to
-read.
-
-
-<!--l. 71--><p class="indent"> <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s meta-arrows work in a similar fashion: The shape of an arrow tip can vary according to the line width of
-the arrow tip is used. Thus, an arrow tip drawn at a line width of 5pt will typically <span
-class="cmti-10">not </span>be five times as large as an
-arrow tip of line width 1pt. Instead, the size of the arrow will get bigger only slowly as the line width
-increases.
-<!--l. 78--><p class="indent"> To appreciate the difference, here are the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">to</span></span></span> arrows, as drawn by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;at four different
-sizes:
-<!--l. 92--><p class="indent"> <object data="pgfmanual-555.svg" width="460.91939 " height="101.73952 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-<!--l. 95--><p class="indent"> Here, by comparison, is the same arrow when it is simply &#8220;resized&#8221; (as done by most programs):
-<!--l. 150--><p class="indent"> <object data="pgfmanual-556.svg" width="460.91939 " height="101.73952 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-<!--l. 153--><p class="indent"> As can be seen, simple scaling produces arrow tips that are way too large at larger sizes and way too small at
-smaller sizes.
-<!--l. 158--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">24.2 </span> <a
- id="x25-25600024.2"></a>Declaring an Arrow Tip Kind</h4>
-<!--l. 160--><p class="noindent">To declare an arrow kind &#8220;from scratch,&#8221; the following command is used:
-<!--l. 164--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox275"><span
-class="cmtt-10">\pgfarrowsdeclare</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">extend code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">arrow tip code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx25-256001"></a>
- <!--l. 165--><p class="noindent">This command declares a new arrow kind. An arrow kind has two names, which will typically be the
- same. When the arrow tip needs to be drawn, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">arrow tip code</span><span
-class="cmsy-10">&gt; </span>will be invoked, but the canvas
- transformation is setup beforehand to a rotation such that when an arrow tip pointing right is specified,
- the arrow tip that is actually drawn points in the direction of the line.
- <!--l. 173--><p class="noindent"><span
-class="cmbx-10">Naming the arrow kind. </span>The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start name</span><span
-class="cmsy-10">&gt; </span>is the name used for the arrow tip when it is at the
- start of a path, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end name</span><span
-class="cmsy-10">&gt; </span>is the name used at the end of a path. For example, the arrow
- kind that looks like a parenthesis has the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span> and the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> so that you can say
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetarrows{(-)}</span></span></span> to specify that you want parenthesis arrows and both ends.
- <!--l. 182--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end name</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start name</span><span
-class="cmsy-10">&gt; </span>can be quite arbitrary and may contain spaces.
- <!--l. 186--><p class="noindent"><span
-class="cmbx-10">Basics of the arrow tip code. </span>Let us next have a look at the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">arrow tip code</span><span
-class="cmsy-10">&gt;</span>. This code will be
- used to draw the arrow tip when <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;thinks this is necessary. The code should draw an arrow that
- &#8220;points right,&#8221; which means that is should draw an arrow at the end of a line coming from the left and
- ending at the origin.
- <!--l. 193--><p class="noindent">As an example, suppose we wanted to declare an arrow tip consisting of two arcs, that is, we want the arrow
- tip to look more or less like the red part of the following picture:
-
-
- <!--l. 196--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-476-" ><colgroup id="TBL-476-1g"><col
-id="TBL-476-1"><col
-id="TBL-476-2"></colgroup><tr
- valign="baseline" id="TBL-476-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-476-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-557.svg" width="80.87367 " height="31.66655 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-476-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[line</span><span
-class="cmtt-8">&nbsp;width=3pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red,join=round,cap=round]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(-10pt,10pt)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:270:10pt)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(90:180:10pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 204--><p class="noindent">We could use the following as <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">arrow tip code</span><span
-class="cmsy-10">&gt; </span>for this:
- <!--l. 205--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-477-" ><colgroup id="TBL-477-1g"><col
-id="TBL-477-1"></colgroup><tr
- valign="baseline" id="TBL-477-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-477-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfarrowsdeclare{arcs}{arcs}{...}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetdash{}{0pt}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;do</span><span
-class="cmsltt-10x-x-80">&nbsp;not</span><span
-class="cmsltt-10x-x-80">&nbsp;dash</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetroundjoin</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;fix</span><span
-class="cmsltt-10x-x-80">&nbsp;join</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetroundcap</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;fix</span><span
-class="cmsltt-10x-x-80">&nbsp;cap</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{-10pt}{10pt}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{180}{270}{10pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{90}{180}{10pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepathqstroke</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 218--><p class="noindent">Indeed, when the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span> is set appropriately (in a moment), we can write the following:
- <!--l. 230--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-478-" ><colgroup id="TBL-478-1g"><col
-id="TBL-478-1"><col
-id="TBL-478-2"></colgroup><tr
- valign="baseline" id="TBL-478-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-478-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-558.svg" width="80.87367 " height="105.32631 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-478-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-arcs,line</span><span
-class="cmtt-8">&nbsp;width=3pt]</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[arcs-arcs,line</span><span
-class="cmtt-8">&nbsp;width=1pt]</span><span
-class="cmtt-8">&nbsp;(-2,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-2,-2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(0,0.75);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 238--><p class="noindent">As can be seen in the second example, the arrow tip is automatically rotated as needed when the arrow is
- drawn. This is achieved by a canvas rotation.
- <!--l. 243--><p class="noindent"><span
-class="cmbx-10">Special considerations about the arrow tip code. </span>There are several things you need to be aware of when
- designing arrow tip code:
- <ul class="itemize1">
- <li class="itemize">Inside the code, you may not use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span> command. The reason is that this command
- internally calls arrow construction commands, which is something you obviously do not want to
- happen.
- <!--l. 253--><p class="noindent">Instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span>, use the quick versions. Typically, you will use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepathqstroke</span></span></span>,
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepathqfill</span></span></span>, or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepathqfillstroke</span></span></span>.
- </li>
- <li class="itemize">The code will be executed only once, namely the first time the arrow tip needs to be drawn. The
- resulting low-level driver commands are protocoled and stored away. In all subsequent uses of the
- arrow tip, the protocoled code is directly inserted.
- </li>
- <li class="itemize">However, the code will be executed anew for each line width. Thus, an arrow of line width 2pt
- may result in a different protocol than the same arrow for a line width of 0.4pt.
- </li>
- <li class="itemize">If you stroke the path that you construct, you should first set the dashing to solid and setup fixed
- joins and caps, as needed. This will ensure that the arrow tip will always look the same.
- </li>
- <li class="itemize">When the arrow tip code is executed, it is automatically put inside a low-level scope, so nothing
- will &#8220;leak out&#8221; from the scope.
-
-
- </li>
- <li class="itemize">The high-level coordinate transformation matrix will be set to the identity matrix when the code
- is executed for the first time.</li></ul>
- <!--l. 280--><p class="noindent"><span
-class="cmbx-10">Designing meta-arrows. </span>The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">arrow tip code</span><span
-class="cmsy-10">&gt; </span>should adjust the size of the arrow in accordance with the
- line width. For a small line width, the arrow tip should be small, for a large line width, it should be
- larger. However, the size of the arrow typically <span
-class="cmti-10">should not </span>grow in direct proportion to the line
- width. On the other hand, the size of the arrow head typically <span
-class="cmti-10">should </span>grow &#8220;a bit&#8221; with the line
- width.
- <!--l. 289--><p class="noindent">For these reasons, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will not simply executed your arrow code within a scaled scope, where the scaling
- depends on the line width. Instead, your <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">arrow tip code</span><span
-class="cmsy-10">&gt; </span>is reexecuted again for each different line
- width.
- <!--l. 294--><p class="noindent">In our example, we could use the following code for the new arrow tip kind <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">arc'</span></span></span> (note the prime):
- <!--l. 296--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-479-" ><colgroup id="TBL-479-1g"><col
-id="TBL-479-1"></colgroup><tr
- valign="baseline" id="TBL-479-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-479-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\newdimen\arrowsize</span>
-<br><span
-class="cmtt-8">\pgfarrowsdeclare{arcs'}{arcs'}{...}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\arrowsize=0.2pt</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\advance\arrowsize</span><span
-class="cmtt-8">&nbsp;by</span><span
-class="cmtt-8">&nbsp;.5\pgflinewidth</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetdash{}{0pt}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;do</span><span
-class="cmsltt-10x-x-80">&nbsp;not</span><span
-class="cmsltt-10x-x-80">&nbsp;dash</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetroundjoin</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;fix</span><span
-class="cmsltt-10x-x-80">&nbsp;join</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetroundcap</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;fix</span><span
-class="cmsltt-10x-x-80">&nbsp;cap</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{-4\arrowsize}{4\arrowsize}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{180}{270}{4\arrowsize}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{90}{180}{4\arrowsize}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepathqstroke</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 326--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-480-" ><colgroup id="TBL-480-1g"><col
-id="TBL-480-1"><col
-id="TBL-480-2"></colgroup><tr
- valign="baseline" id="TBL-480-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-480-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-559.svg" width="80.87367 " height="86.35788 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-480-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-arcs',line</span><span
-class="cmtt-8">&nbsp;width=3pt]</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[arcs'-arcs',line</span><span
-class="cmtt-8">&nbsp;width=1pt]</span><span
-class="cmtt-8">&nbsp;(-2,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-2,-1.75)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(0,0.5);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 334--><p class="noindent">However, sometimes, it can also be useful to have arrows that do not resize at all when the line width changes.
- This can be achieved by giving absolute size coordinates in the code, as done for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">arc</span></span></span>. On the other hand, you
- can also have the arrow resize linearly with the line width by specifying all coordinates as multiples of
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflinewidth</span></span></span>.
- <!--l. 341--><p class="noindent"><span
-class="cmbx-10">The left and right extend. </span>Let us have another look at the exact left and right &#8220;ends&#8221; of our arrow tip. Let
- us draw the arrow tip <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">arc'</span></span></span> at a very large size:
- <!--l. 345--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-481-" ><colgroup id="TBL-481-1g"><col
-id="TBL-481-1"><col
-id="TBL-481-2"></colgroup><tr
- valign="baseline" id="TBL-481-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-481-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-560.svg" width="121.61049 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-481-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-2,-1)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=10pt,-arcs']</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=2pt,white]</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 353--><p class="noindent">As one can see, the arrow tip does not &#8220;touch&#8221; the origin as it should, but protrudes a little over the origin.
- One remedy to this undesirable effect is to change the code of the arrow tip such that everything is
- shifted half an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\arrowsize</span></span></span> to the left. While this will cause the arrow tip to touch the origin, the
- line itself will then interfere with the arrow: The arrow tip will be partly &#8220;hidden&#8221; by the line
- itself.
-
-
- <!--l. 361--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;uses a different approach to solving the problem: The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">extend code</span><span
-class="cmsy-10">&gt; </span>argument can be used to &#8220;tell&#8221;
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;how much the arrow protrudes over the origin. The argument is also used to tell <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;where the &#8220;left&#8221;
- end of the arrow is. However, this number is important only when the arrow is being reversed or composed
- with other arrow tips.
- <!--l. 368--><p class="noindent">Once <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;knows the right extend of an arrow kind, it can <span
-class="cmti-10">shorten </span>lines by this amount when drawing
- arrows.
- <!--l. 371--><p class="noindent">Here is a picture that shows what the visualizes the extends. The arrow tip itself is shown in red once
- more:
- <!--l. 389--><p class="noindent"><object data="pgfmanual-561.svg" width="328.05121 " height="242.24754 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
- <!--l. 392--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">extend code</span><span
-class="cmsy-10">&gt; </span>is normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;code that is executed whenever <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;wants to know how far the
- arrow tip will protrude to the right and left. The code should call the following two commands:
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfarrowsrightextend</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfarrowsleftextend</span></span></span>. Both arguments take one argument that specifies the
- size. Here is the final code for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">arc''</span></span></span> arrow tip:
- <!--l. 399--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-482-" ><colgroup id="TBL-482-1g"><col
-id="TBL-482-1"><col
-id="TBL-482-2"></colgroup><tr
- valign="baseline" id="TBL-482-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-482-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-562.svg" width="121.61049 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-482-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfarrowsdeclare{arcs''}{arcs''}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\arrowsize=0.2pt</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\advance\arrowsize</span><span
-class="cmtt-8">&nbsp;by</span><span
-class="cmtt-8">&nbsp;.5\pgflinewidth</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfarrowsleftextend{-4\arrowsize-.5\pgflinewidth}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfarrowsrightextend{.5\pgflinewidth}</span>
-<br><span
-class="cmtt-8">}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\arrowsize=0.2pt</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\advance\arrowsize</span><span
-class="cmtt-8">&nbsp;by</span><span
-class="cmtt-8">&nbsp;.5\pgflinewidth</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetdash{}{0pt}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;do</span><span
-class="cmsltt-10x-x-80">&nbsp;not</span><span
-class="cmsltt-10x-x-80">&nbsp;dash</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetroundjoin</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;fix</span><span
-class="cmsltt-10x-x-80">&nbsp;join</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetroundcap</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;fix</span><span
-class="cmsltt-10x-x-80">&nbsp;cap</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{-4\arrowsize}{4\arrowsize}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{180}{270}{4\arrowsize}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepathqstroke</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpatharc{90}{180}{4\arrowsize}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepathqstroke</span>
-<br><span
-class="cmtt-8">}</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-2,-1)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=10pt,-arcs'']</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=2pt,white]</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-<!--l. 450--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">24.3 </span> <a
- id="x25-25700024.3"></a>Declaring a Derived Arrow Tip Kind</h4>
-<!--l. 452--><p class="noindent">It is possible to declare arrow kinds in terms of existing ones. For these command to work correctly, the left and
-right extends must be set correctly.
-<!--l. 457--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox276"><span
-class="cmtt-10">\pgfarrowsdeclarealias</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">old start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">old end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx25-257001"></a>
- <!--l. 458--><p class="noindent">This command can be used to create an alias (another name) for an existing arrow kind.
- <!--l. 461--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-483-" ><colgroup id="TBL-483-1g"><col
-id="TBL-483-1"><col
-id="TBL-483-2"></colgroup><tr
- valign="baseline" id="TBL-483-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-483-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-563.svg" width="152.74736 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-483-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfarrowsdeclarealias{&lt;}{&gt;}{arcs''}{arcs''}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrows{&lt;-&gt;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.75,2.25);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 476--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox277"><span
-class="cmtt-10">\pgfarrowsdeclarereversed</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">old start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">old end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx25-257002"></a>
- <!--l. 477--><p class="noindent">This command creates a new arrow kind that is the &#8220;reverse&#8221; of an existing arrow kind. The
- (automatically cerated) code of the new arrow kind will contain a flip of the canvas and the meanings
- of the left and right extend will be reversed.
- <!--l. 482--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-484-" ><colgroup id="TBL-484-1g"><col
-id="TBL-484-1"><col
-id="TBL-484-2"></colgroup><tr
- valign="baseline" id="TBL-484-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-484-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-564.svg" width="152.74736 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-484-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfarrowsdeclarereversed{arcs</span><span
-class="cmtt-8">&nbsp;reversed}{arcs</span><span
-class="cmtt-8">&nbsp;reversed}{arcs''}{arcs''}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrows{arcs</span><span
-class="cmtt-8">&nbsp;reversed-arcs</span><span
-class="cmtt-8">&nbsp;reversed}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.75,2.25);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 499--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox278"><span
-class="cmtt-10">\pgfarrowsdeclarecombine</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">*</span></span></span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx25-257003"></a>
- <!--l. 500--><p class="noindent">This command creates a new arrow kind that combines two existing arrow kinds. The first arrow kind
- is the &#8220;innermost&#8221; arrow kind, the second arrow kind is the &#8220;outermost.&#8221;
-
-
- <!--l. 504--><p class="noindent">The code for the combined arrow kind will install a canvas translation before the innermost arrow kind
- in drawn. This translation is calculated such that the right tip of the innermost arrow touches the right
- end of the outermost arrow. The optional <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt; </span>can be used to increase (or decrease) the distance
- between the inner and outermost arrow.
- <!--l. 511--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-485-" ><colgroup id="TBL-485-1g"><col
-id="TBL-485-1"><col
-id="TBL-485-2"></colgroup><tr
- valign="baseline" id="TBL-485-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-485-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-565.svg" width="152.74736 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-485-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfarrowsdeclarecombine[\pgflinewidth]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{combined}{combined}{arcs''}{arcs''}{latex}{latex}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrows{combined-combined}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.75,2.25);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 524--><p class="noindent">In the star variant, the end of the line is not in the outermost arrow, but inside the innermost
- arrow.
- <!--l. 527--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-486-" ><colgroup id="TBL-486-1g"><col
-id="TBL-486-1"><col
-id="TBL-486-2"></colgroup><tr
- valign="baseline" id="TBL-486-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-486-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-566.svg" width="152.74736 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-486-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfarrowsdeclarecombine*[\pgflinewidth]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{combined'}{combined'}{arcs''}{arcs''}{latex}{latex}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrows{combined'-combined'}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.75,2.25);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 544--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox279"><span
-class="cmtt-10">\pgfarrowsdeclaredouble</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">old start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">old end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx25-257004"></a>
- <!--l. 545--><p class="noindent">This command is a shortcut for combining an arrow kind with itself.
- <!--l. 547--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-487-" ><colgroup id="TBL-487-1g"><col
-id="TBL-487-1"><col
-id="TBL-487-2"></colgroup><tr
- valign="baseline" id="TBL-487-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-487-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-567.svg" width="152.74736 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-487-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfarrowsdeclaredouble{&lt;&lt;}{&gt;&gt;}{arcs''}{arcs''}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrows{&lt;&lt;-&gt;&gt;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.75,2.25);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </dd></dl>
-<!--l. 563--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox280"><span
-class="cmtt-10">\pgfarrowsdeclaretriple</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">offset</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">old start name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">old end name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx25-257005"></a>
- <!--l. 564--><p class="noindent">This command is a shortcut for combining an arrow kind with itself and then again.
- <!--l. 567--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-488-" ><colgroup id="TBL-488-1g"><col
-id="TBL-488-1"><col
-id="TBL-488-2"></colgroup><tr
- valign="baseline" id="TBL-488-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-488-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-568.svg" width="152.74736 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-488-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfarrowsdeclaretriple{&lt;&lt;&lt;}{&gt;&gt;&gt;}{arcs''}{arcs''}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrows{&lt;&lt;&lt;-&gt;&gt;&gt;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.75,2.25);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 584--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">24.4 </span> <a
- id="x25-25800024.4"></a>Using an Arrow Tip Kind</h4>
-<!--l. 586--><p class="noindent">The following commands install the arrow kind that will be used when stroking is done.
-<!--l. 589--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox281"><span
-class="cmtt-10">\pgfsetarrowsstart</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start arrow kind</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx25-258001"></a>
- <!--l. 590--><p class="noindent">Installs the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start arrow kind</span><span
-class="cmsy-10">&gt; </span>for all subsequent strokes in the in the current <span class="TEX">T<span
-class="E">E</span>X</span>-group.
- If <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start arrow kind</span><span
-class="cmsy-10">&gt; </span>is empty, no arrow tips will be drawn at the start of the last segment of
- paths.
- <!--l. 594--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-489-" ><colgroup id="TBL-489-1g"><col
-id="TBL-489-1"><col
-id="TBL-489-2"></colgroup><tr
- valign="baseline" id="TBL-489-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-489-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-569.svg" width="152.74736 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-489-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrowsstart{latex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.75,2.25);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 606--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox282"><span
-class="cmtt-10">\pgfsetarrowsend</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start arrow kind</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx25-258002"></a>
-
-
- <!--l. 607--><p class="noindent">Like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetarrowsstart</span></span></span>, only for the end of the arrow.
- <!--l. 608--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-490-" ><colgroup id="TBL-490-1g"><col
-id="TBL-490-1"><col
-id="TBL-490-2"></colgroup><tr
- valign="baseline" id="TBL-490-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-490-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-570.svg" width="152.74736 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-490-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrowsend{latex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.75,2.25);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 620--><p class="indent"> <span
-class="cmti-10">Warning: </span>If the compatibility mode is active (which is the default), there also exist old commands called
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetstartarrow</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetendarrow</span></span></span>, which are incompatible with the meta-arrow management.
-<!--l. 626--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox283"><span
-class="cmtt-10">\pgfsetarrows</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start kind</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end kind</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx25-258003"></a>
- <!--l. 627--><p class="noindent">Calls <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetarrowsstart</span></span></span> for <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start kind</span><span
-class="cmsy-10">&gt; </span>and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetarrowsend</span></span></span> for <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end kind</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 629--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-491-" ><colgroup id="TBL-491-1g"><col
-id="TBL-491-1"><col
-id="TBL-491-2"></colgroup><tr
- valign="baseline" id="TBL-491-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-571.svg" width="152.74736 " height="95.84207 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetarrows{latex-to}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1ex}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{3.5cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(-0.25,-0.25)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.75,2.25);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 642--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">24.5 </span> <a
- id="x25-25900024.5"></a>Predefined Arrow Tip Kinds</h4>
-<!--l. 646--><p class="noindent">The following arrow tip kinds are always defined:
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-492-" ><colgroup id="TBL-492-1g"><col
-id="TBL-492-1"><col
-id="TBL-492-2"></colgroup><tr
- valign="baseline" id="TBL-492-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-1-1"
-class="td11"> <a
- id="dx25-259001"></a><a
- id="dx25-259002"></a> <a
- id="dx25-259003"></a><a
- id="dx25-259004"></a> <span
-class="cmtt-10">stealth-stealth </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-1-2"
-class="td11"> yields thick <object data="pgfmanual-572.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-573.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-2-1"
-class="td11"> <a
- id="dx25-259005"></a><a
- id="dx25-259006"></a> <a
- id="dx25-259007"></a><a
- id="dx25-259008"></a> <span
-class="cmtt-10">stealth reversed-stealth reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-2-2"
-class="td11"> yields thick <object data="pgfmanual-574.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-575.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-3-1"
-class="td11"> <a
- id="dx25-259009"></a><a
- id="dx25-259010"></a> <a
- id="dx25-259011"></a><a
- id="dx25-259012"></a> <span
-class="cmtt-10">to-to </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-3-2"
-class="td11"> yields thick <object data="pgfmanual-576.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-577.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-4-1"
-class="td11"> <a
- id="dx25-259013"></a><a
- id="dx25-259014"></a> <a
- id="dx25-259015"></a><a
- id="dx25-259016"></a> <span
-class="cmtt-10">to reversed-to reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-4-2"
-class="td11"> yields thick <object data="pgfmanual-578.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-579.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-5-1"
-class="td11"> <a
- id="dx25-259017"></a><a
- id="dx25-259018"></a> <a
- id="dx25-259019"></a><a
- id="dx25-259020"></a> <span
-class="cmtt-10">latex-latex </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-5-2"
-class="td11"> yields thick <object data="pgfmanual-580.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-581.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-6-1"
-class="td11"> <a
- id="dx25-259021"></a><a
- id="dx25-259022"></a> <a
- id="dx25-259023"></a><a
- id="dx25-259024"></a> <span
-class="cmtt-10">latex reversed-latex reversed </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-6-2"
-class="td11"> yields thick <object data="pgfmanual-582.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-583.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-492-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-7-1"
-class="td11"> <a
- id="dx25-259025"></a><a
- id="dx25-259026"></a> <span
-class="cmtt-10">|-| </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-7-2"
-class="td11"> yields thick <object data="pgfmanual-584.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-585.svg" width="38.93684 " height="15.35175 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td> </tr></table>
-</div>
-<!--l. 672--><p class="indent"> For further arrow tips, see page&nbsp;<a
-href="pgfmanualse14.html#x15-16000014.1">176<!--tex4ht:ref: section-rules --></a>.
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse25.html" >next</a>] [<a
-href="pgfmanualse23.html" >prev</a>] [<a
-href="pgfmanualse23.html#tailpgfmanualse23.html" >prev-tail</a>] [<a
-href="pgfmanualse24.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse24.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse24.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse25.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse25.html
deleted file mode 100644
index 19acf3d5b2a..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse25.html
+++ /dev/null
@@ -1,2658 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>25 Nodes and Shapes</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse26.html" >next</a>] [<a
-href="pgfmanualse24.html" >prev</a>] [<a
-href="pgfmanualse24.html#tailpgfmanualse24.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse25.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse25.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">25 </span> <a
- id="x26-26000025"></a>Nodes and Shapes</h3>
-<!--l. 12--><p class="noindent">This section describes the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseshapes</span></span></span> package.
-<!--l. 14--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox284"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfbaseshapes</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-260001"></a>
-<a
- id="dx26-260002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox285"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseshapes</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox286"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseshapes</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 15--><p class="noindent">This package defines commands both for creating nodes and for creating shapes. The package is loaded
- automatically by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>, but you can load it manually if you have only included <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>. </dd></dl>
-<!--l. 21--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">25.1 </span> <a
- id="x26-26100025.1"></a>Overview</h4>
-<!--l. 23--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;comes with a sophisticated set of commands for creating <span
-class="cmti-10">nodes </span>and <span
-class="cmti-10">shapes</span>. A <span
-class="cmti-10">node </span>is a graphical object that
-consists (typically) of (one or more) text labels and some additional stroked or filled paths. Each node has a certain
-<span
-class="cmti-10">shape</span>, which may be something simple like a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> or a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span>, but it may also be something complicated like
-a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">uml</span><span
-class="cmtt-10">&nbsp;class</span><span
-class="cmtt-10">&nbsp;diagram</span></span></span> (this shape is currently not implemented, though). Different nodes that have the same shape
-may look quite different, however, since shapes (need not) specify whether the shape path is stroked or
-filled.
-<!--l. 35--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.1.1 </span> <a
- id="x26-26200025.1.1"></a>Creating and Referencing Nodes</h5>
-<!--l. 37--><p class="noindent">You create a node by calling the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> or the more general <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfmultipartnode</span></span></span>. These macro takes
-several parameters and draws the requested shape at a certain position. In addition, it will &#8220;remember&#8221; the node&#8217;s
-position within the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. You can then, later on, refer to the node&#8217;s position. Coordinate
-transformations are &#8220;fully supported,&#8221; which means that if you used coordinate transformations to shift or rotate
-the shape of a node, the node&#8217;s position will still be correctly determined by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. This is <span
-class="cmti-10">not </span>the case if you use
-canvas transformations, instead.
-<!--l. 49--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.1.2 </span> <a
- id="x26-26300025.1.2"></a>Anchors</h5>
-<!--l. 51--><p class="noindent">An important property of a node or a shape in general are its <span
-class="cmti-10">anchors</span>. Anchors are &#8220;important&#8221; positions in a
-shape. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span> anchor lies at the center of a shape, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span> anchor is usually &#8220;at the top, in the
-middle&#8221; of a shape, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor is the lower left corner of the shape&#8217;s text label (if present), and so
-on.
-<!--l. 58--><p class="indent"> Anchors are important both when you create a node and when you reference it. When you create a node, you
-specify the node&#8217;s &#8220;position&#8221; by asking <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to place the shape in such a way that a certain anchor lies at a certain
-point. For example, you might ask that the node is placed such that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span> anchor is at the origin. This will
-effectively cause the node to be placed below the origin.
-
-
-<!--l. 66--><p class="indent"> When you reference a node, you always reference an anchor of the node. For example, when you request
-the &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span> anchor of the node just placed&#8221; you will get the origin. However, you can also request
-the &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span> anchor of this node,&#8221; which will give you a point somewhere below the origin. When a
-coordinate transformation was in force at the time of creation of a node, all anchors are also transformed
-accordingly.
-<!--l. 74--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.1.3 </span> <a
- id="x26-26400025.1.3"></a>Layers of a Shape</h5>
-<!--l. 76--><p class="noindent">The simplest shape, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span>, has just one anchor, namely the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span>, and a label (which is usually empty).
-More complicated shapes like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape also have a <span
-class="cmti-10">background path</span>. This is a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>-path that is defined
-by the shape. The shape does not prescribe what should happen with the path: When a node is created this path
-may be stroked (resulting in a frame around the label), filled (resulting in a background color for the text), or just
-discarded.
-<!--l. 85--><p class="indent"> Although most shapes consist just of a background path plus some label text, when a shape is drawn, up to
-seven different layers are drawn:
-<!--l. 88--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x26-264002x1"></a>The &#8220;behind the background layer.&#8221; Unlike the background path, which be used in different ways by
- different nodes, the graphic commands given for this layer will always stroke or always fill the path
- they construct. They might also insert some text that is &#8220;behind everything.&#8221;
- </li>
- <li class="enumerate" value="2"
-><a
- id="x26-264004x2"></a>The background path layer. How this path is used depends on how the arguments of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span>
- command.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x26-264006x3"></a>The &#8220;before the background path layer.&#8221; This layer works like the first one, only the commands of this
- layer are executed after the background path has been used (in whatever way the creator of the node
- chose).
- </li>
- <li class="enumerate" value="4"
-><a
- id="x26-264008x4"></a>The label layer. This layer inserts the node&#8217;s text box(es).
- </li>
- <li class="enumerate" value="5"
-><a
- id="x26-264010x5"></a>The &#8220;behind the foreground layer.&#8221; This layer, like the first layer, once more contains graphic commands
- that are &#8220;simply executed.&#8221;
- </li>
- <li class="enumerate" value="6"
-><a
- id="x26-264012x6"></a>The foreground path layer. This path is treated in the same way as the background path, only it is
- drawn only after the label text has been drawn.
- </li>
- <li class="enumerate" value="7"
-><a
- id="x26-264014x7"></a>The &#8220;before the foreground layer.&#8221;</li></ol>
-<!--l. 117--><p class="indent"> Which of these layers are actually used depends on the shape.
-<!--l. 121--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.1.4 </span> <a
- id="x26-26500025.1.4"></a>Node Parts</h5>
-<!--l. 123--><p class="noindent">A shape typically does not consist only of different background and foreground paths, but it may also have text
-labels. Indeed, for many shapes the text labels are the more important part of the shape.
-<!--l. 127--><p class="indent"> Most shapes will have only one text label. In this case, this text label is simply passed as a parameter to the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> command. When the node is drawn, the text label is shifted around such that its lower left corner is at
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor of the node.
-<!--l. 132--><p class="indent"> More complicated shapes may have more than one text label. Nodes of such shapes are called <span
-class="cmti-10">multipart nodes</span>.
-The different <span
-class="cmti-10">node parts </span>are simply the different text labels. For example, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">uml</span><span
-class="cmtt-10">&nbsp;class</span></span></span> shape might have a
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">class</span><span
-class="cmtt-10">&nbsp;name</span></span></span> part, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">method</span></span></span> part and an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">attributes</span></span></span> part. Indeed, single part nodes are a special case of multipart
-nodes: They only have one part named <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span>.
-
-
-<!--l. 139--><p class="indent"> When a shape is declared, you must specify the node parts. There is a simple command called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\nodeparts</span></span></span> that
-takes a list of the part names as input. When you create a node of a multipart shape, for each part of the node you
-must have setup a <span class="TEX">T<span
-class="E">E</span>X</span>-box containing the text of the part. For a part named <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">XYZ</span></span></span> you must setup the box
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodepartXYZbox</span></span></span>. The box will be placed at the anchor <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">XYZ</span></span></span>. See the description of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfmultipartnode</span></span></span> for
-more details.
-<!--l. 148--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">25.2 </span> <a
- id="x26-26600025.2"></a>Creating Nodes</h4>
-<!--l. 150--><p class="noindent">You create a node using on of the following commands:
-<!--l. 153--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox287"><span
-class="cmtt-10">\pgfnode</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">label text</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">path usage command</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266001"></a>
- <!--l. 154--><p class="noindent">This command creates a new node. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape</span><span
-class="cmsy-10">&gt; </span>of the node must have been declared previously using
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclareshape</span></span></span>.
- <!--l. 157--><p class="noindent">The shape is shifted such that the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt; </span>is at the origin. In order to place the shape somewhere
- else, use the coordinate transformation prior to calling this command.
- <!--l. 161--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>is a name for later reference. If no name is given, nothing will be &#8220;saved&#8221; for the node, it
- will just be drawn.
- <!--l. 164--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">path usage command</span><span
-class="cmsy-10">&gt; </span>is executed for the background and the foreground path (if the shape
- defines them).
- <!--l. 167--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-493-" ><colgroup id="TBL-493-1g"><col
-id="TBL-493-1"><col
-id="TBL-493-2"></colgroup><tr
- valign="baseline" id="TBL-493-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-493-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-586.svg" width="154.67291 " height="115.07718 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-493-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(4,3);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformshift{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{north}{Hello</span><span
-class="cmtt-8">&nbsp;World}{hellonode}{\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red!20}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{10}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformshift{\pgfpoint{3cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\color{black}Hello</span><span
-class="cmtt-8">&nbsp;World}{hellonode}{\pgfusepath{fill}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 184--><p class="noindent">As can be seen, all coordinate transformations are also applied to the text of the shape. Sometimes, it is
- desirable that the transformations are applied to the point where the shape will be anchored, but you do not
- wish the shape itself to the transformed. In this case, you should call <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftransformresetnontranslations</span></span></span>
- prior to calling the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> command.
-
-
- <!--l. 192--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-494-" ><colgroup id="TBL-494-1g"><col
-id="TBL-494-1"><col
-id="TBL-494-2"></colgroup><tr
- valign="baseline" id="TBL-494-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-494-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-587.svg" width="153.01402 " height="115.07718 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-494-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(4,3);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\color{red!20}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{10}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformshift{\pgfpoint{3cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformresetnontranslations</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\color{black}Hello</span><span
-class="cmtt-8">&nbsp;World}{hellonode}{\pgfusepath{fill}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 206--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">label text</span><span
-class="cmsy-10">&gt; </span>is typeset inside the <span class="TEX">T<span
-class="E">E</span>X</span>-box <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodeparttextbox</span></span></span>. This box is shown at the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor
- of the node, if the node has a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> part. See the description of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfmultipartnode</span></span></span> for details.
- </dd></dl>
-<!--l. 213--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox288"><span
-class="cmtt-10">\pgfmultipartnode</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">path usage command</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266002"></a>
- <!--l. 214--><p class="noindent">This command is the more general (and less user-friendly) version of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> command. While
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> command can only be used for shapes that have a single part (which is the case for most
- shapes), this command can also be used with multi-part nodes.
- <!--l. 219--><p class="noindent">When this command is called, for each node part of the node you must have setup one
- <span class="TEX">T<span
-class="E">E</span>X</span>-box. Suppose the shape has two parts: The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> part and the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span> part. Then,
- prior to calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfmultipartnode</span></span></span>, you must have setup the boxes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodeparttextbox</span></span></span> and
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodepartoutputbox</span></span></span>. These boxes may contain any <span class="TEX">T<span
-class="E">E</span>X</span>-text. The shape code will then compute
- the positions of the shape&#8217;s anchors based on the sizes of the these shapes. Finally, when the node is
- drawn, the boxes are placed at the anchor positions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span>.
- <!--l. 229--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-495-" ><colgroup id="TBL-495-1g"><col
-id="TBL-495-1"><col
-id="TBL-495-2"></colgroup><tr
- valign="baseline" id="TBL-495-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-495-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-588.svg" width="43.10022 " height="43.10022 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-495-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\setbox\pgfnodeparttextbox=\hbox{$q_1$}</span>
-<br><span
-class="cmtt-8">\setbox\pgfnodepartoutputbox=\hbox{01}</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfmultipartnode{state</span><span
-class="cmtt-8">&nbsp;with</span><span
-class="cmtt-8">&nbsp;output}{center}{my</span><span
-class="cmtt-8">&nbsp;state}{\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 237--><p class="noindent"><span
-class="cmti-10">Note: </span>Be careful when using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\setbox</span></span></span> command inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> command. You will have to use
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfinterruptpath</span></span></span> at the beginning of the box and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\endpgfinterruptpath</span></span></span> at the end of the box to make
- sure that the box is typeset correctly. In the above example this problem was sidestepped by moving the box
- construction outside the environment.
- <!--l. 244--><p class="noindent"><span
-class="cmti-10">Note: </span>It is not necessary to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\newbox</span></span></span> for every node part name. Although you need a different box for each
- part of a single shape, two different shapes may very well use the same box even when the names of the parts
- are different. Suppose you have a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">state</span><span
-class="cmtt-10">&nbsp;with</span><span
-class="cmtt-10">&nbsp;output</span></span></span> shape that has an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span> part and you have a
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">uml</span><span
-class="cmtt-10">&nbsp;class</span></span></span> shape that has a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">methods</span></span></span> part. Then, in order to avoid exhausting <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s limited number of box
- registers, you can say
- <!--l. 251--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-496-" ><colgroup id="TBL-496-1g"><col
-id="TBL-496-1"></colgroup><tr
- valign="baseline" id="TBL-496-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-496-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\newbox\pgfnodepartoutputbox</span>
-<br><span
-class="cmtt-8">\let\pgfnodepartmethodsbox=\pgfnodepartoutputbox</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 255--><p class="noindent">Also, when you have a node part name with spaces like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">class</span><span
-class="cmtt-10">&nbsp;name</span></span></span>, it may be useful to create an
- alias:
-
-
- <!--l. 257--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-497-" ><colgroup id="TBL-497-1g"><col
-id="TBL-497-1"></colgroup><tr
- valign="baseline" id="TBL-497-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-497-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\newbox\mybox</span>
-<br><span
-class="cmtt-8">\expandafter\let\csname</span><span
-class="cmtt-8">&nbsp;pgfnodepartclass</span><span
-class="cmtt-8">&nbsp;namebox\endcsname=\mybox</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 263--><p class="indent"> There are a number of values that have an influence on the size of a node. These parameters can be changed
-using the following commands:
-<!--l. 266--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox289"><span
-class="cmtt-10">\pgfsetshapeminwidth</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266003"></a>
- <!--l. 267--><p class="noindent">This command sets the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeminwidth</span></span></span> to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. This dimension is the <span
-class="cmti-10">recommended</span>
- minimum width of a shape. Thus, when a shape is drawn and when the shape&#8217;s width would be smaller
- than <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>, the shape&#8217;s width is enlarged by adding some empty space.
- <!--l. 273--><p class="noindent">Note that this value is just a recommendation. A shape may choose to ignore the value of
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeminwidth</span></span></span>.
- <!--l. 276--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-498-" ><colgroup id="TBL-498-1g"><col
-id="TBL-498-1"><col
-id="TBL-498-2"></colgroup><tr
- valign="baseline" id="TBL-498-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-498-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-589.svg" width="153.01402 " height="48.41037 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-498-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetshapeminwidth{3cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World}{}{\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 286--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox290"><span
-class="cmtt-10">\pgfsetshapeminheight</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266004"></a>
- <!--l. 287--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetshapeminwidth</span></span></span>. </dd></dl>
-<!--l. 291--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox291"><span
-class="cmtt-10">\pgfsetshapeinnerxsep</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266005"></a>
- <!--l. 292--><p class="noindent">This command sets the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeinnerxsep</span></span></span> to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. This dimension is the
- <span
-class="cmti-10">recommended </span>horizontal inner separation between the label text and the background path. As
- before, this value is just a recommendation and a shape may choose to ignore the value of
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeinnerxsep</span></span></span>.
- <!--l. 298--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-499-" ><colgroup id="TBL-499-1g"><col
-id="TBL-499-1"><col
-id="TBL-499-2"></colgroup><tr
- valign="baseline" id="TBL-499-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-499-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-590.svg" width="153.01402 " height="48.41037 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-499-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetshapeinnerxsep{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World}{}{\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 308--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox292"><span
-class="cmtt-10">\pgfsetshapeinnerysep</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266006"></a>
- <!--l. 309--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetshapeinnerysep</span></span></span>. </dd></dl>
-<!--l. 314--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox293"><span
-class="cmtt-10">\pgfsetshapeouterxsep</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266007"></a>
- <!--l. 315--><p class="noindent">This command sets the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeouterxsep</span></span></span> to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. This dimension is the
- recommended horizontal outer separation between the background path and the &#8220;outer anchors.&#8221; For
- example, if <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1cm</span></span></span> then the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">east</span></span></span> anchor will be 1cm to the right of the right border of the
- background path.
- <!--l. 322--><p class="noindent">As before, this value is just a recommendation.
- <!--l. 324--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-500-" ><colgroup id="TBL-500-1g"><col
-id="TBL-500-1"><col
-id="TBL-500-2"></colgroup><tr
- valign="baseline" id="TBL-500-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-500-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-591.svg" width="153.01402 " height="51.07703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-500-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetshapeouterxsep{.5cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World}{x}{\pgfusepath{stroke}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{north}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{south}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{east}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{west}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{north</span><span
-class="cmtt-8">&nbsp;east}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 341--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox294"><span
-class="cmtt-10">\pgfsetshapeouterysep</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-266008"></a>
- <!--l. 342--><p class="noindent">Works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsetshapeouterysep</span></span></span>. </dd></dl>
-<!--l. 346--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">25.3 </span> <a
- id="x26-26700025.3"></a>Using Anchors</h4>
-<!--l. 348--><p class="noindent">Each shape defines a set of anchors. We saw already that the anchors are used when the shape is drawn: the shape is
-placed in such a way that the given anchor is at the origin (which in turn is typically translated somewhere
-else).
-<!--l. 353--><p class="indent"> One has to look up the set of anchors of each shape, there is no &#8220;default&#8221; set of anchors, except for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span>
-anchor, which should always be present. Also, most shapes will declare anchors like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">east</span></span></span>, but this is not
-guaranteed.
-<!--l. 358--><p class="indent"> Once a node has been defined, you can refer to its anchors using the following commands:
-<!--l. 361--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox295"><span
-class="cmtt-10">\pgfpointanchor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-267001"></a>
- <!--l. 362--><p class="noindent">This command is another &#8220;point command&#8221; like the commands described in Section&nbsp;<a
-href="pgfmanualse20.html#x21-20400020">20<!--tex4ht:ref: section-points --></a>. It returns the
- coordinate of the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt; </span>in the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node</span><span
-class="cmsy-10">&gt;</span>. The command can be used in commands like
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto</span></span></span>.
-
-
- <!--l. 367--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-501-" ><colgroup id="TBL-501-1g"><col
-id="TBL-501-1"><col
-id="TBL-501-2"></colgroup><tr
- valign="baseline" id="TBL-501-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-501-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-592.svg" width="82.16544 " height="61.71054 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-501-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World!}{x}{\pgfusepath{stroke}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{north}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{south}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{east}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{west}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointanchor{x}{north</span><span
-class="cmtt-8">&nbsp;east}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 381--><p class="noindent">In the above example, you may have noticed something curious: The rotation transformation is still in force
- when the anchors are invoked, but it does not seem to have an effect. You might expect that the rotation
- should apply to the already rotated points once more.
- <!--l. 387--><p class="noindent">However, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointanchor</span></span></span> returns a point that takes the current transformation matrix into account: <span
-class="cmti-10">The</span>
- <span
-class="cmti-10">inverse transformation to the current coordinate transformation is applied to an anchor point before returning</span>
- <span
-class="cmti-10">it.</span>
- <!--l. 392--><p class="noindent">This behavior may seem a bit strange, but you will find it very natural in most cases. If you really want to
- apply a transformation to an anchor point (for example, to &#8220;shift it away&#8221; a little bit), you have to invoke
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointanchor</span></span></span> without any transformations in force. Here is an example:
- <!--l. 399--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-502-" ><colgroup id="TBL-502-1g"><col
-id="TBL-502-1"><col
-id="TBL-502-2"></colgroup><tr
- valign="baseline" id="TBL-502-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-502-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-593.svg" width="82.16544 " height="68.8413 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-502-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World!}{x}{\pgfusepath{stroke}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformreset</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpointanchor{x}{east}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\xdef\mycoordinate{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\mycoordinate}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 416--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox296"><span
-class="cmtt-10">\pgfpointshapeborder</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-267002"></a>
- <!--l. 417--><p class="noindent">This command returns the point on the border of the shape that lies on a straight line from the center
- of the node to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>. For complex shapes it is not guaranteed that this point will actually lie on the
- border, it may be on the border of a &#8220;simplified&#8221; version of the shape.
-
-
- <!--l. 423--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-503-" ><colgroup id="TBL-503-1g"><col
-id="TBL-503-1"><col
-id="TBL-503-2"></colgroup><tr
- valign="baseline" id="TBL-503-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-503-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-594.svg" width="120.14386 " height="70.38521 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-503-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfscope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfnode{rectangle}{center}{Hello</span><span
-class="cmtt-8">&nbsp;World!}{x}{\pgfusepath{stroke}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfscope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointshapeborder{x}{\pgfpoint{2cm}{1cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{2cm}{1cm}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpointshapeborder{x}{\pgfpoint{-1cm}{1cm}}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{-1cm}{1cm}}{2pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{fill}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 440--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">25.4 </span> <a
- id="x26-26800025.4"></a>Declaring New Shapes</h4>
-<!--l. 442--><p class="noindent">Defining a shape is, unfortunately, a not-quite-trivial process. The reason is that shapes need to be both very
-flexible (their size will vary greatly according to circumstances) and they need to be constructed reasonably &#8220;fast.&#8221;
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;must be able to handle pictures with several hundreds of nodes and documents with thousands of nodes in
-total. It would not do if <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;had to compute and store, say, dozens of anchor positions for every
-node.
-<!--l. 451--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.4.1 </span> <a
- id="x26-26900025.4.1"></a>What Must Be Defined For a Shape?</h5>
-<!--l. 453--><p class="noindent">In order to define a new shape, you must provide:
- <ul class="itemize1">
- <li class="itemize">a <span
-class="cmti-10">shape name</span>,
- </li>
- <li class="itemize">code for computing the <span
-class="cmti-10">saved anchors </span>and <span
-class="cmti-10">saved dimensions</span>,
- </li>
- <li class="itemize">code for computing <span
-class="cmti-10">anchor </span>positions in terms of the saved anchors,
- </li>
- <li class="itemize">optionally code for the <span
-class="cmti-10">background path </span>and <span
-class="cmti-10">foreground path</span>,
- </li>
- <li class="itemize">optionally code for <span
-class="cmti-10">things to be drawn before or behind </span>the background and foreground paths.
- </li>
- <li class="itemize">optionally a list of node parts.</li></ul>
-<!--l. 472--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.4.2 </span> <a
- id="x26-27000025.4.2"></a>Normal Anchors Versus Saved Anchors</h5>
-<!--l. 474--><p class="noindent">Anchors are special places in shape. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span> anchor, which is a normal anchor, lies at the
-upper right corner of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape, as does <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\northeast</span></span></span>, which is a saved anchor. The difference is the
-following: <span
-class="cmti-10">saved anchors are computed and stored for each node, anchors are only computed as needed. </span>The user only
-has access to the normal anchors, but a normal anchor can just &#8220;copy&#8221; or &#8220;pass through&#8221; the location of a saved
-anchor.
-
-
-<!--l. 483--><p class="indent"> The idea behind all this is that a shape can declare a very large number of normal anchors, but when a node of
-this shape is created, these anchors are not actually computed. However, this causes a problem: When we wish to
-reference an anchor of a node at some later time, we must still able to compute the position of the anchor. For this,
-we may need a lot of information: What was the transformation matrix that was in force when the node was
-created? What was the size of the text box? What were the values of the different separation dimensions? And so
-on.
-<!--l. 493--><p class="indent"> To solve this problem, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will always compute the locations of all <span
-class="cmti-10">saved anchors </span>and store these positions.
-Then, when an normal anchor position is requested later on, the anchor position can be given just from knowing
-where the locations of the saved anchors.
-<!--l. 498--><p class="indent"> As an example, consider the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape. For this shape two anchors are saved: The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\northeast</span></span></span> corner
-and the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\southwest</span></span></span> corner. A normal anchor like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;west</span></span></span> can now easily be expressed in terms of these
-coordinates: Take the <span
-class="cmmi-10">x</span>-position of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\southwest</span></span></span> point and the <span
-class="cmmi-10">y</span>-position of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\northeast</span></span></span> point. The
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape currently defines 13 normal anchors, but needs only two saved anchors. Adding new anchors
-like a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;south</span><span
-class="cmtt-10">&nbsp;east</span></span></span> anchor would not increase the memory and computation requirements of
-pictures.
-<!--l. 508--><p class="indent"> All anchors (both saved and normal) are specified in a local <span
-class="cmti-10">shape coordinate space</span>. This is also true for the
-background and foreground paths. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> macro will automatically apply appropriate transformations to the
-coordinates so that the shape is shifted to the right anchor or otherwise transformed.
-<!--l. 515--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">25.4.3 </span> <a
- id="x26-27100025.4.3"></a>Command for Declaring New Shapes</h5>
-<!--l. 517--><p class="noindent">The following command declares a new shape:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox297"><span
-class="cmtt-10">\pgfdeclareshape</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271001"></a>
- <!--l. 520--><p class="noindent">This command declares a new shape named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape name</span><span
-class="cmsy-10">&gt;</span>. The shape name can later be used in
- commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span>.
- <!--l. 523--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape specification</span><span
-class="cmsy-10">&gt; </span>is some <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;code containing calls to special commands that are only defined
- inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape specification</span><span
-class="cmsy-10">&gt; </span>(similarly to commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> that are only available inside the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment).
- <!--l. 528--><p class="noindent"><span
-class="cmti-10">Example: </span>Here is the code of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> shape:
- <!--l. 529--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-504-" ><colgroup id="TBL-504-1g"><col
-id="TBL-504-1"></colgroup><tr
- valign="baseline" id="TBL-504-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-504-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareshape{coordinate}</span>
-<br><span
-class="cmtt-8">{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\savedanchor\centerpoint{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=.5\wd\pgfnodeparttextbox</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@y=.5\ht\pgfnodeparttextbox</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\advance\pgf@y</span><span
-class="cmtt-8">&nbsp;by</span><span
-class="cmtt-8">&nbsp;-.5\dp\pgfnodeparttextbox</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\anchor{center}{\centerpoint}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\anchorborder{\centerpoint}</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 542--><p class="noindent">The special commands are explained next. In the examples given for the special commands a new shape will
- be constructed, which we might call <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span>. It should behave like the normal rectangle shape,
- only without bothering about the fine details like inner and outer separations. The skeleton for the shape is
- the following.
- <!--l. 547--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-505-" ><colgroup id="TBL-505-1g"><col
-id="TBL-505-1"></colgroup><tr
- valign="baseline" id="TBL-505-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-505-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareshape{simple</span><span
-class="cmtt-8">&nbsp;rectangle}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;...</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 553--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox298"><span
-class="cmtt-10">\nodeparts</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list of node parts</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271002"></a>
-
-
- <!--l. 554--><p class="noindent">This command declares which parts make up nodes of this shape. A <span
-class="cmti-10">node part </span>is a (possibly
- empty) text label that is drawn when a node of the shape is created.
- <!--l. 558--><p class="noindent">By default, a shape has just one node part called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span>. However, there can be several node parts.
- For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">state</span><span
-class="cmtt-10">&nbsp;with</span><span
-class="cmtt-10">&nbsp;output</span></span></span> shape has two parts: the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> part, which shows that
- state&#8217;s name, and an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">output</span></span></span> part, which shows the output produced when the state is reached.
- For the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">state</span><span
-class="cmtt-10">&nbsp;with</span><span
-class="cmtt-10">&nbsp;output</span></span></span> shape the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\nodeparts</span></span></span> command was called with the argument
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{text,output}</span></span></span>.
- <!--l. 566--><p class="noindent">When a multipart node is created, the text labels are drawn in the sequences listed in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list</span>
- <span
-class="cmti-10">of node parts</span><span
-class="cmsy-10">&gt;</span>. For each node part there you must have declared one anchor and the <span class="TEX">T<span
-class="E">E</span>X</span>-box of
- the part is placed at this anchor. For a node part called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">XYZ</span></span></span> the <span class="TEX">T<span
-class="E">E</span>X</span>-box <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodepartXYZbox</span></span></span>
- is placed at anchor <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">XYZ</span></span></span>. </dd></dl>
- <!--l. 573--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox299"><span
-class="cmtt-10">\savedanchor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271003"></a>
- <!--l. 574--><p class="noindent">This command declares a saved anchor. The argument <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>should be a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;macro name
- like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\centerpoint</span></span></span>.
- <!--l. 577--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will be executed each time <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> (or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfmultipartnode</span></span></span>) is called to create a
- node of the shape <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shape name</span><span
-class="cmsy-10">&gt;</span>. When the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed, the <span class="TEX">T<span
-class="E">E</span>X</span>-boxes of the node parts
- will contain the text labels of the node. Possibly, these box are void. For example, if there is just
- a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> part, the node <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodeparttextbox</span></span></span> will be setup when the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed.
- <!--l. 586--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>can use the width, height, and depth of the box(es) to compute the location of
- the saved anchor. In addition, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>can take into account the values of dimensions like
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeminwidth</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeinnerxsep</span></span></span>. Furthermore, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>can take into consideration
- the values of any further shape-specific variables that are set at the moment when <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span> is
- called.
- <!--l. 594--><p class="noindent">The net effect of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>should be to set the two <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span>. One
- way to achieve this is to say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x value</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y value</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span> at the end of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span>, but you
- can also just set these variables. The values that <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> have after the code has been
- executed, let us call them <span
-class="cmmi-10">x </span>and <span
-class="cmmi-10">y</span>, will be recorded and stored together with the node that is
- created by the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnode</span></span></span>.
- <!--l. 603--><p class="noindent">The macro <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>is defined to be <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{</span></span></span><span
-class="cmmi-10">x</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}{</span></span></span><span
-class="cmmi-10">y</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>. However, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>is only locally
- defined while anchor positions are being computed. Thus, it is possible to use very simple names
- for <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt;</span>, like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\center</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\a</span></span></span>, without causing a name-clash. (To be precise, very simple
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>names will clash with existing names, but only locally inside the computation of
- anchor positions; and we do not need the normal <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\center</span></span></span> command during these computations.)
- <!--l. 613--><p class="noindent">For our <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> shape, we will need only one saved anchor: The upper right corner. The lower
- left corner could either be the origin or the &#8220;mirrored&#8221; upper right corner, depending on whether we want
- the text label to have its lower left corner at the origin or whether the text label should be centered on
- the origin. Either will be fine, for the final shape this will make no difference since the shape will be
- shifted anyway. So, let us assume that the text label is centered on the origin (this will be
- specified later on using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor). We get the following code for the upper right
- corner:
- <!--l. 623--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-506-" ><colgroup id="TBL-506-1g"><col
-id="TBL-506-1"></colgroup><tr
- valign="baseline" id="TBL-506-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-506-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\savedanchor{\upperrightcorner}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@y=.5\ht\pgfnodeparttextbox</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;height</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;box,</span><span
-class="cmsltt-10x-x-80">&nbsp;ignoring</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;depth</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=.5\wd\pgfnodeparttextbox</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;width</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 630--><p class="noindent">If we wanted to take, say, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeminwidth</span></span></span> into account, we could use the following
- code:
-
-
- <!--l. 633--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-507-" ><colgroup id="TBL-507-1g"><col
-id="TBL-507-1"></colgroup><tr
- valign="baseline" id="TBL-507-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-507-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\savedanchor{\upperrightcorner}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@y=.\ht\pgfnodeparttextbox</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;height</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=.\wd\pgfnodeparttextbox</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;width</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\setlength{\pgf@xa}{\pgfshapeminwidth}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\ifdim\pgf@x&lt;.5\pgf@xa</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=.5\pgf@xa</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fi</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 643--><p class="noindent">Note that we could not have written <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.5\pgfshapeminwidth</span></span></span> since the minium width is stored in a &#8220;plain
- text macro,&#8221; not as a real dimension. So if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshapeminwidth</span></span></span> depth were 2cm, writing
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.5\pgfshapeminwidth</span></span></span> would yield the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.52cm</span></span></span>.
- <!--l. 648--><p class="noindent">In the &#8220;real&#8221; <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> shape the code is somewhat more complex, but you get the basic idea.
- </dd></dl>
- <!--l. 651--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox300"><span
-class="cmtt-10">\saveddimen</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271004"></a>
- <!--l. 652--><p class="noindent">This command is similar to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\savedanchor</span></span></span>, only instead of setting <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>to
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{</span></span></span><span
-class="cmmi-10">x</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}{</span></span></span><span
-class="cmmi-10">y</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">command</span><span
-class="cmsy-10">&gt; </span>is set just to (the value of) <span
-class="cmmi-10">x</span>.
- <!--l. 656--><p class="noindent">In the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> shape we might use a saved dimension to store the depth of the shape
- box.
- <!--l. 659--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-508-" ><colgroup id="TBL-508-1g"><col
-id="TBL-508-1"></colgroup><tr
- valign="baseline" id="TBL-508-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-508-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\shapedimen{\depth}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=\dp\pgfnodeparttextbox</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
- <!--l. 665--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox301"><span
-class="cmtt-10">\anchor</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271005"></a>
- <!--l. 666--><p class="noindent">This command declares an anchor named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span>. Unlike for saved anchors, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will not
- be executed each time a node is declared. Rather, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is only executed when the anchor
- is specifically requested; either for anchoring the node during its creation or as a position in the
- shape referenced later on.
- <!--l. 672--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>is a quite arbitrary string that is not &#8220;passed down&#8221; to the system level. Thus, names
- like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">::</span></span></span> would all be fine.
- <!--l. 676--><p class="noindent">A saved anchor is not automatically also a normal anchor. If you wish to give the users access
- to a saved anchor you must declare a normal anchor that just returns the position of the saved
- anchor.
- <!--l. 680--><p class="noindent">When the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed, all saved anchor macros will be defined. Thus, you can reference
- them in your <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span>. The effect of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>should be to set the values of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span>
- to the coordinates of the anchor.
- <!--l. 685--><p class="noindent">Let us consider some example for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> shape. First, we would like to make the
- upper right corner publicly available, for example as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span>:
- <!--l. 689--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-509-" ><colgroup id="TBL-509-1g"><col
-id="TBL-509-1"></colgroup><tr
- valign="baseline" id="TBL-509-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-509-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\anchor{north</span><span
-class="cmtt-8">&nbsp;east}{\upperrightcorner}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 693--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\upperrightcorner</span></span></span> macro will set <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> to the coordinates of the upper right
- corner. Thus, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> will have exactly the right values at the end of the anchor&#8217;s
- code.
- <!--l. 698--><p class="noindent">Next, let us define a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;west</span></span></span> anchor. For this anchor, we can negate the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> variable:
- <!--l. 701--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-510-" ><colgroup id="TBL-510-1g"><col
-id="TBL-510-1"></colgroup><tr
- valign="baseline" id="TBL-510-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-510-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\anchor{north</span><span
-class="cmtt-8">&nbsp;west}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\upperrightcorner</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=-\pgf@x</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 708--><p class="noindent">Finally, it is a good idea to always define a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">center</span></span></span> anchor, which will be the default location for a
- shape.
- <!--l. 711--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-511-" ><colgroup id="TBL-511-1g"><col
-id="TBL-511-1"></colgroup><tr
- valign="baseline" id="TBL-511-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-511-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\anchor{center}{\pgfpointorigin}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 715--><p class="noindent">You might wonder whether we should not take into consideration that the node is not placed at the
- origin, but has been shifted somewhere. However, the anchor positions are always specified in the
- shape&#8217;s &#8220;private&#8221; coordinate system. The &#8220;outer&#8221; transformation that has been applied to the
- shape upon its creation is applied automatically to the coordinates returned by the anchor&#8217;s
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 723--><p class="noindent">Out <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> only has one text label (node part) called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span>. This is the default situation, so
- we need not do anything. For the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> node part we must setup a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor. This anchor is used upon
- creation of a node to determine the lower left corner of the text label (within the private coordinate
- system of the shape). By default, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> anchor is at the origin, but you may change this. For example,
- we would say
- <!--l. 730--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-512-" ><colgroup id="TBL-512-1g"><col
-id="TBL-512-1"></colgroup><tr
- valign="baseline" id="TBL-512-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-512-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\anchor{text}{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\upperrightcorner</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@x=-\pgf@x</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@y=-\pgf@y</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 737--><p class="noindent">to center the text label on the origin in the shape coordinate space. Note that we could <span
-class="cmti-10">not </span>have written
- the following:
- <!--l. 740--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-513-" ><colgroup id="TBL-513-1g"><col
-id="TBL-513-1"></colgroup><tr
- valign="baseline" id="TBL-513-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-513-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\anchor{text}{\pgfpoint{-.5\wd\pgfnodeparttextbox}{-.5\ht\pgfnodeparttextbox}}</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 743--><p class="noindent">Do you see why this is wrong? The problem is that the box <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfnodeparttextbox</span></span></span> will most likely not
- have the correct size when the anchor is computed. After all, the anchor position might be recomputed at
- a time when several other nodes have been created.
- <!--l. 748--><p class="noindent">If a shape has several node parts, we would have to define an anchor for each part. </dd></dl>
- <!--l. 751--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox302"><span
-class="cmtt-10">\anchorborder</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271006"></a>
- <!--l. 752--><p class="noindent">A <span
-class="cmti-10">border anchor </span>is an anchor point on the border of the shape. What exactly is considered as the
- &#8220;border&#8221; of the shape depends on the shape.
- <!--l. 756--><p class="noindent">When the user request a point on the border of the shape using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointshapeborder</span></span></span>
- command, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will be executed to discern this point. When the execution of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span>
- starts, the dimensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> will have been set to a location <span
-class="cmmi-10">p </span>in the shape&#8217;s
- coordinate system. It is now the job of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>to setup <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@x</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@y</span></span></span> such that they
- specify the point on the shape&#8217;s border that lies on a straight line from the shape&#8217;s center to the
- point <span
-class="cmmi-10">p</span>. Usually, this is a somewhat complicated computation, involving many case distinctions
- and some basic math.
- <!--l. 767--><p class="noindent">For our <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span> we must compute a point on the border of a rectangle whose one corner is the
- origin (ignoring the depth for simplicity) and whose other corner is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\upperrightcorner</span></span></span>. The following
- code might be used:
- <!--l. 771--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-514-" ><colgroup id="TBL-514-1g"><col
-id="TBL-514-1"></colgroup><tr
- valign="baseline" id="TBL-514-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-514-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\anchorborder{</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Call</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;function</span><span
-class="cmsltt-10x-x-80">&nbsp;that</span><span
-class="cmsltt-10x-x-80">&nbsp;computes</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;border</span><span
-class="cmsltt-10x-x-80">&nbsp;point.</span><span
-class="cmsltt-10x-x-80">&nbsp;Since</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;function</span><span
-class="cmsltt-10x-x-80">&nbsp;will</span><span
-class="cmsltt-10x-x-80">&nbsp;modify</span><span
-class="cmsltt-10x-x-80">&nbsp;dimensions</span><span
-class="cmsltt-10x-x-80">&nbsp;like</span><span
-class="cmsltt-10x-x-80">&nbsp;\pgf@x,</span><span
-class="cmsltt-10x-x-80">&nbsp;we</span><span
-class="cmsltt-10x-x-80">&nbsp;must</span><span
-class="cmsltt-10x-x-80">&nbsp;move</span><span
-class="cmsltt-10x-x-80">&nbsp;them</span><span
-class="cmsltt-10x-x-80">&nbsp;to</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;other</span><span
-class="cmsltt-10x-x-80">&nbsp;dimensions.</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\@tempdima=\pgf@x</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\@tempdimb=\pgf@y</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpointborderrectangle{\pgfpoint{\@tempdima}{\@tempdimb}}{\upperrightcorner}</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
- <!--l. 782--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox303"><span
-class="cmtt-10">\backgroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271007"></a>
- <!--l. 783--><p class="noindent">This command specifies the path that &#8220;makes up&#8221; the background of the shape. Note that the
- shape cannot prescribe what is going to happen with the path: It might be drawn, shaded, filled,
- or even thrown away. If you want to specify that something should &#8220;always&#8221; happen when this
- shape is drawn (for example, if the shape is a stop-sign, we <span
-class="cmti-10">always </span>want it to be filled with a red
- color), you can use commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\beforebackgroundpath</span></span></span>, explained below.
- <!--l. 792--><p class="noindent">When the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed, all saved anchors will be in effect. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>should contain path
- construction commands.
- <!--l. 796--><p class="noindent">For our <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">simple</span><span
-class="cmtt-10">&nbsp;rectangle</span></span></span>, the following code might be used:
- <!--l. 797--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-515-" ><colgroup id="TBL-515-1g"><col
-id="TBL-515-1"></colgroup><tr
- valign="baseline" id="TBL-515-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-515-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\backgroundpath{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectanglecorners</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\upperrightcorner}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpointscale{-1}{\upperrightcorner}}</span>
-<br><span
-class="cmtt-8">}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 804--><p class="noindent">As the name suggests, the background path is used &#8220;behind&#8221; the text labels. Thus, this path is used first,
- then the text labels are drawn, possibly obscuring part of the path. </dd></dl>
- <!--l. 808--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox304"><span
-class="cmtt-10">\foregroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271008"></a>
- <!--l. 809--><p class="noindent">This command works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\backgroundpath</span></span></span>, only it is invoked after the text labels have been
- drawn. This means that this path can possibly obscure (part of) the text labels. </dd></dl>
- <!--l. 813--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox305"><span
-class="cmtt-10">\behindbackgroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271009"></a>
- <!--l. 814--><p class="noindent">Unlike the previous two commands, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>should not only construct a path, it should also use
- this path in whatever way is appropriate. For example, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>might fill some area with a
- uniform color.
- <!--l. 819--><p class="noindent">Whatever the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>does, it does it first. This means that any drawing done by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>will be
- even behind the background path.
- <!--l. 823--><p class="noindent">Note that the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is protected with a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. </dd></dl>
- <!--l. 825--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox306"><span
-class="cmtt-10">\beforebackgroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271010"></a>
- <!--l. 826--><p class="noindent">This command works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\behindbackgroundpath</span></span></span>, only the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed after the
- background path has been used, but before the texts label are drawn. </dd></dl>
- <!--l. 830--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox307"><span
-class="cmtt-10">\behindforegroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271011"></a>
- <!--l. 831--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed after the text labels have been drawn, but before the foreground path is
- used. </dd></dl>
- <!--l. 834--><p class="noindent">
-
-
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox308"><span
-class="cmtt-10">\beforeforegroundpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271012"></a>
- <!--l. 835--><p class="noindent">This <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is executed at the very end. </dd></dl>
- <!--l. 837--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox309"><span
-class="cmtt-10">\inheritsavedanchors</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271013"></a>
- <!--l. 838--><p class="noindent">This command allows you to inherit the code for saved anchors from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. The
- idea is that if you wish to create a new shape that is just a small modification of a another shape,
- you can recycle the code used for <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 843--><p class="noindent">The effect of this command is the same as if you had called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\savedanchor</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\saveddimen</span></span></span> for
- each saved anchor or saved dimension declared in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. Thus, it is not possible
- to &#8220;selectively&#8221; inherit only some saved anchors, you always have to inherit all saved anchors from
- another shape. However, you can inherit the saved anchors of more than one shape by calling this
- command several times. </dd></dl>
- <!--l. 851--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox310"><span
-class="cmtt-10">\inheritbehindbackgroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271014"></a>
- <!--l. 852--><p class="noindent">This command can be used to inherit the code used for the drawings behind the background path
- from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 855--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox311"><span
-class="cmtt-10">\inheritbackgroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271015"></a>
- <!--l. 856--><p class="noindent">Inherits the background path code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 858--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox312"><span
-class="cmtt-10">\inheritbeforebackgroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271016"></a>
- <!--l. 859--><p class="noindent">Inherits the before background path code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 861--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox313"><span
-class="cmtt-10">\inheritbehindforegroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271017"></a>
- <!--l. 862--><p class="noindent">Inherits the behind foreground path code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 864--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox314"><span
-class="cmtt-10">\inheritforegroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271018"></a>
- <!--l. 865--><p class="noindent">Inherits the foreground path code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 867--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox315"><span
-class="cmtt-10">\inheritbeforeforegroundpath</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271019"></a>
- <!--l. 868--><p class="noindent">Inherits the before foreground path code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
-
-
- <!--l. 870--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox316"><span
-class="cmtt-10">\inheritanchor</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx26-271020"></a>
- <!--l. 871--><p class="noindent">Inherits the code of one specific anchor named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. Thus, unlike
- saved anchors, which must be inherited collectively, normal anchors can and must be inherited
- individually. </dd></dl>
- <!--l. 876--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="colorbox" id="colorbox317"><span
-class="cmtt-10">\inheritanchorborder</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[from=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx26-271021"></a>
- <!--l. 877--><p class="noindent">Inherits the border anchor code from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">another shape name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
- <!--l. 880--><p class="noindent">The following example shows how a shape can be defined that relies heavily on inheritance:
- <!--l. 883--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-516-" ><colgroup id="TBL-516-1g"><col
-id="TBL-516-1"><col
-id="TBL-516-2"></colgroup><tr
- valign="baseline" id="TBL-516-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-516-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-595.svg" width="100.43935 " height="143.38574 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-516-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareshape{document}{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritsavedanchors[from=rectangle]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;nearly</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;rectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchorborder[from=rectangle]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchor[from=rectangle]{center}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchor[from=rectangle]{north}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchor[from=rectangle]{south}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchor[from=rectangle]{west}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\inheritanchor[from=rectangle]{east}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;...</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;possibly</span><span
-class="cmsltt-10x-x-80">&nbsp;more</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\backgroundpath{</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span><span
-class="cmsltt-10x-x-80">&nbsp;is</span><span
-class="cmsltt-10x-x-80">&nbsp;new</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;store</span><span
-class="cmsltt-10x-x-80">&nbsp;lower</span><span
-class="cmsltt-10x-x-80">&nbsp;right</span><span
-class="cmsltt-10x-x-80">&nbsp;in</span><span
-class="cmsltt-10x-x-80">&nbsp;xa/ya</span><span
-class="cmsltt-10x-x-80">&nbsp;and</span><span
-class="cmsltt-10x-x-80">&nbsp;upper</span><span
-class="cmsltt-10x-x-80">&nbsp;right</span><span
-class="cmsltt-10x-x-80">&nbsp;in</span><span
-class="cmsltt-10x-x-80">&nbsp;xb/yb</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\southwest</span><span
-class="cmtt-8">&nbsp;\pgf@xa=\pgf@x</span><span
-class="cmtt-8">&nbsp;\pgf@ya=\pgf@y</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\northeast</span><span
-class="cmtt-8">&nbsp;\pgf@xb=\pgf@x</span><span
-class="cmtt-8">&nbsp;\pgf@yb=\pgf@y</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;compute</span><span
-class="cmsltt-10x-x-80">&nbsp;corner</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;``flipped</span><span
-class="cmsltt-10x-x-80">&nbsp;page''</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@xc=\pgf@xb</span><span
-class="cmtt-8">&nbsp;\advance\pgf@xc</span><span
-class="cmtt-8">&nbsp;by-5pt</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;this</span><span
-class="cmsltt-10x-x-80">&nbsp;should</span><span
-class="cmsltt-10x-x-80">&nbsp;be</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;parameter</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgf@yc=\pgf@yb</span><span
-class="cmtt-8">&nbsp;\advance\pgf@yc</span><span
-class="cmtt-8">&nbsp;by-5pt</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;construct</span><span
-class="cmsltt-10x-x-80">&nbsp;main</span><span
-class="cmsltt-10x-x-80">&nbsp;path</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{\pgf@xa}{\pgf@ya}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{\pgf@xa}{\pgf@yb}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{\pgf@xc}{\pgf@yb}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@yc}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@ya}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathclose</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;add</span><span
-class="cmsltt-10x-x-80">&nbsp;little</span><span
-class="cmsltt-10x-x-80">&nbsp;corner</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpoint{\pgf@xc}{\pgf@yb}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{\pgf@xc}{\pgf@yc}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@yc}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{\pgf@xc}{\pgf@yc}}</span>
-<br><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">}\hskip-1.2cm</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[shade,draw,shape=document,inner</span><span
-class="cmtt-8">&nbsp;sep=2ex]</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;{Remark};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[fill=examplefill,draw,ellipse,double]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;([shift=(-80:3cm)]x)</span><span
-class="cmtt-8">&nbsp;(y)</span><span
-class="cmtt-8">&nbsp;{Use</span><span
-class="cmtt-8">&nbsp;Case};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[dashed]</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(y);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-<!--l. 928--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">25.5 </span> <a
- id="x26-27200025.5"></a>Predefined Shapes</h4>
-<!--l. 930--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox318">Shape <span
-class="cmtt-10">coordinate</span></span> </dt><dd
-class="description">
-<a
- id="dx26-272001"></a>
-<a
- id="dx26-272002"></a>
- <!--l. 931--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinate</span></span></span> is mainly intended to be used to store locations using the node mechanism. This
- shape does not have any background path and options like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> have no effect on it. Also, it does not
- have any node parts, so no text is drawn when this shape is used.
- <!--l. 936--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;handles this shape in a special way, see Section&nbsp;<a
-href="pgfmanualse11.html#x12-14600011.8">11.8<!--tex4ht:ref: section-tikz-coordinate-shape --></a>. </dd></dl>
-<!--l. 940--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox319">Shape <span
-class="cmtt-10">rectangle</span></span> </dt><dd
-class="description">
-<a
- id="dx26-272003"></a>
-<a
- id="dx26-272004"></a>
- <!--l. 941--><p class="noindent">This shape is a rectangle tightly fitting the text box. Use inner or outer separation to increase the distance
- between the text box and the border and the anchors. The following figure shows the anchors defined by this
- shape; the anchors <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">10</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">130</span></span></span> are example of border anchors.
- <!--l. 946--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-596.svg" width="521.3385 " height="195.84898 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-517-" ><colgroup id="TBL-517-1g"><col
-id="TBL-517-1"></colgroup><tr
- valign="baseline" id="TBL-517-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-517-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=rectangle,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{Rectangle\vrule</span><span
-class="cmtt-8">&nbsp;width</span><span
-class="cmtt-8">&nbsp;1pt</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;2cm};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;center/above,</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;text/left,</span><span
-class="cmtt-8">&nbsp;10/right,</span><span
-class="cmtt-8">&nbsp;130/above}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(0,0)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 963--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox320">Shape <span
-class="cmtt-10">circle</span></span> </dt><dd
-class="description">
-<a
- id="dx26-272005"></a>
-<a
- id="dx26-272006"></a>
- <!--l. 964--><p class="noindent">This shape is a circle tightly fitting the text box.
-
-
- <!--l. 965--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-597.svg" width="481.16978 " height="366.7704 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-518-" ><colgroup id="TBL-518-1g"><col
-id="TBL-518-1"></colgroup><tr
- valign="baseline" id="TBL-518-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-518-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\Huge</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[name=s,shape=circle,style=shape</span><span
-class="cmtt-8">&nbsp;example]</span><span
-class="cmtt-8">&nbsp;{Circle\vrule</span><span
-class="cmtt-8">&nbsp;width</span><span
-class="cmtt-8">&nbsp;1pt</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;2cm};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\anchor/\placement</span><span
-class="cmtt-8">&nbsp;in</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{north</span><span
-class="cmtt-8">&nbsp;west/above</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;north/above,</span><span
-class="cmtt-8">&nbsp;north</span><span
-class="cmtt-8">&nbsp;east/above</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;center/above,</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;west/right,</span><span
-class="cmtt-8">&nbsp;mid/above,</span><span
-class="cmtt-8">&nbsp;mid</span><span
-class="cmtt-8">&nbsp;east/left,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;west/left,</span><span
-class="cmtt-8">&nbsp;base/below,</span><span
-class="cmtt-8">&nbsp;base</span><span
-class="cmtt-8">&nbsp;east/right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;west/below</span><span
-class="cmtt-8">&nbsp;left,</span><span
-class="cmtt-8">&nbsp;south/below,</span><span
-class="cmtt-8">&nbsp;south</span><span
-class="cmtt-8">&nbsp;east/below</span><span
-class="cmtt-8">&nbsp;right,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;text/left,</span><span
-class="cmtt-8">&nbsp;10/right,</span><span
-class="cmtt-8">&nbsp;130/above}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[shift=(s.\anchor)]</span><span
-class="cmtt-8">&nbsp;plot[mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(0,0)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[\placement]</span><span
-class="cmtt-8">&nbsp;{\scriptsize\texttt{(s.\anchor)}};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse26.html" >next</a>] [<a
-href="pgfmanualse24.html" >prev</a>] [<a
-href="pgfmanualse24.html#tailpgfmanualse24.html" >prev-tail</a>] [<a
-href="pgfmanualse25.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse25.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse25.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse26.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse26.html
deleted file mode 100644
index 87d50d60038..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse26.html
+++ /dev/null
@@ -1,1706 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>26 Coordinate and Canvas Transformations</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse27.html" >next</a>] [<a
-href="pgfmanualse25.html" >prev</a>] [<a
-href="pgfmanualse25.html#tailpgfmanualse25.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse26.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse26.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">26 </span> <a
- id="x27-27300026"></a>Coordinate and Canvas Transformations</h3>
-<!--l. 10--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">26.1 </span> <a
- id="x27-27400026.1"></a>Overview</h4>
-<!--l. 12--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;offers two different ways of scaling, shifting, and rotating (these operations are generally known as
-<span
-class="cmti-10">transformations</span>) graphics: You can apply <span
-class="cmti-10">coordinate transformations </span>to all coordinates and you can apply <span
-class="cmti-10">canvas</span>
-<span
-class="cmti-10">transformations </span>to the canvas on which you draw. (The names &#8220;coordinate&#8221; and &#8220;canvas&#8221; transformations are not
-standard, I introduce them only for the purposes of this manual.)
-<!--l. 20--><p class="indent"> The difference is the following:
- <ul class="itemize1">
- <li class="itemize">As the name &#8220;coordinate transformation&#8221; suggests, coordinate transformations apply only to
- coordinates. For example, when you specify a coordinate like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{1cm}{2cm}</span></span></span> and you wish
- to &#8220;use&#8221; this coordinate--for example as an argument to a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto</span></span></span> command--then the
- coordinate transformation matrix is applied to the coordinate, resulting in a new coordinate. Continuing
- the example, if the current coordinate transformation is &#8220;scale by a factor of two,&#8221; the coordinate
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpoint{1cm}{2cm}</span></span></span> actually designates the point (2cm<span
-class="cmmi-10">,</span>4cm).
- <!--l. 35--><p class="noindent">Note that coordinate transformations apply <span
-class="cmti-10">only </span>to coordinates. They do not apply to, say, line width
- or shadings or text.
- </li>
- <li class="itemize">The effect of a &#8220;canvas transformation&#8221; like &#8220;scale by a factor of two&#8221; can be imagined as follows: You
- first draw your picture on a &#8220;rubber canvas&#8221; normally. Then, once you are done, the whole canvas is
- transformed, in this case stretched by a factor of two. In the resulting image <span
-class="cmti-10">everything </span>will be larger:
- Text, lines, coordinates, and shadings.</li></ul>
-<!--l. 47--><p class="indent"> In many cases, it is preferable that you use coordinate transformations and not canvas transformations. When
-canvas transformations are used, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;looses track of the coordinates of nodes and shapes. Also, canvas
-transformations often cause undesirable effects like changing text size. For these reasons, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;makes it easy to setup
-the coordinate transformation, but a bit harder to change the canvas transformation.
-<!--l. 56--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">26.2 </span> <a
- id="x27-27500026.2"></a>Coordinate Transformations</h4>
-<!--l. 59--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">26.2.1 </span> <a
- id="x27-27600026.2.1"></a>How PGF Keeps Track of the Coordinate Transformation Matrix</h5>
-<!--l. 61--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;has an internal coordinate transformation matrix. This matrix is applied to coordinates &#8220;in certain situations.&#8221;
-This means that the matrix is not always applied to every coordinate &#8220;no matter what.&#8221; Rather,
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;tries to be reasonably smart at when and how this matrix should be applied. The most prominent
-examples are the path construction commands, which apply the coordinate transformation matrix to their
-inputs.
-<!--l. 69--><p class="indent"> The coordinate transformation matrix consists of four numbers <span
-class="cmmi-10">a</span>, <span
-class="cmmi-10">b</span>, <span
-class="cmmi-10">c</span>, and <span
-class="cmmi-10">d</span>, and two dimensions <span
-class="cmmi-10">s </span>and <span
-class="cmmi-10">t</span>. When
-the coordinate transformation matrix is applied to a coordinate (<span
-class="cmmi-10">x,y</span>) the new coordinate (<span
-class="cmmi-10">ax </span>+ <span
-class="cmmi-10">by </span>+ <span
-class="cmmi-10">s,cx </span>+ <span
-class="cmmi-10">dy </span>+ <span
-class="cmmi-10">t</span>)
-results. For more details on how transformation matrices work in general, please see, for example, the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>or
-PostScript reference or a textbook on computer graphics.
-<!--l. 77--><p class="indent"> The coordinate transformation matrix is equal to the identity matrix at the beginning. More precisely, <span
-class="cmmi-10">a </span>= 1,
-<span
-class="cmmi-10">b </span>= 0, <span
-class="cmmi-10">c </span>= 0, <span
-class="cmmi-10">d </span>= 1, <span
-class="cmmi-10">s </span>= 0pt, and <span
-class="cmmi-10">t </span>= 0pt.
-
-
-<!--l. 81--><p class="indent"> The different coordinate transformation commands will modify the matrix by concatenating it with
-another transformation matrix. This way the effect of applying several transformation commands will
-<span
-class="cmti-10">accumulate</span>.
-<!--l. 86--><p class="indent"> The coordinate transformation matrix is local to the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group (unlike the canvas transformation
-matrix, which is local to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>). Thus, the effect of adding a coordinate transformation to the
-coordinate transformation matrix will last only till the end of the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group.
-<!--l. 95--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">26.2.2 </span> <a
- id="x27-27700026.2.2"></a>Commands for Relative Coordinate Transformations</h5>
-<!--l. 97--><p class="noindent">The following commands add a basic coordinate transformation to the current coordinate transformation matrix.
-For all commands, the transformation is applied <span
-class="cmti-10">in addition </span>to any previous coordinate transformations.
-<!--l. 102--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox321"><span
-class="cmtt-10">\pgftransformshift</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277001"></a>
- <!--l. 103--><p class="noindent">Shifts coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 104--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-519-" ><colgroup id="TBL-519-1g"><col
-id="TBL-519-1"><col
-id="TBL-519-2"></colgroup><tr
- valign="baseline" id="TBL-519-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-519-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-598.svg" width="115.34386 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-519-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformshift{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 114--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox322"><span
-class="cmtt-10">\pgftransformxshift</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimensions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277002"></a>
- <!--l. 115--><p class="noindent">Shifts coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>along the <span
-class="cmmi-10">x</span>-axis.
- <!--l. 116--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-520-" ><colgroup id="TBL-520-1g"><col
-id="TBL-520-1"><col
-id="TBL-520-2"></colgroup><tr
- valign="baseline" id="TBL-520-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-520-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-599.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-520-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxshift{.5cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 126--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox323"><span
-class="cmtt-10">\pgftransformyshift</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimensions</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277003"></a>
- <!--l. 127--><p class="noindent">Like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftransformxshift</span></span></span>, only for the <span
-class="cmmi-10">y</span>-axis. </dd></dl>
-<!--l. 130--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox324"><span
-class="cmtt-10">\pgftransformscale</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277004"></a>
- <!--l. 131--><p class="noindent">Scales coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 132--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-521-" ><colgroup id="TBL-521-1g"><col
-id="TBL-521-1"><col
-id="TBL-521-2"></colgroup><tr
- valign="baseline" id="TBL-521-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-521-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-600.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-521-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformscale{.75}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 142--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox325"><span
-class="cmtt-10">\pgftransformxscale</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277005"></a>
- <!--l. 143--><p class="noindent">Scales coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>in the <span
-class="cmmi-10">x</span>-direction.
- <!--l. 144--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-522-" ><colgroup id="TBL-522-1g"><col
-id="TBL-522-1"><col
-id="TBL-522-2"></colgroup><tr
- valign="baseline" id="TBL-522-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-522-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-601.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-522-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxscale{.75}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 155--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox326"><span
-class="cmtt-10">\pgftransformyscale</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277006"></a>
- <!--l. 156--><p class="noindent">Like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftransformxscale</span></span></span>, only for the <span
-class="cmmi-10">y</span>-axis. </dd></dl>
-<!--l. 160--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox327"><span
-class="cmtt-10">\pgftransformxslant</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277007"></a>
- <!--l. 161--><p class="noindent">Slants coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>in the <span
-class="cmmi-10">x</span>-direction. Here, a factor of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1</span></span></span> means 45<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- <!--l. 163--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-523-" ><colgroup id="TBL-523-1g"><col
-id="TBL-523-1"><col
-id="TBL-523-2"></colgroup><tr
- valign="baseline" id="TBL-523-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-523-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-602.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-523-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxslant{.5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </dd></dl>
-<!--l. 174--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox328"><span
-class="cmtt-10">\pgftransformyslant</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277008"></a>
- <!--l. 175--><p class="noindent">Slants coordinates by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>in the <span
-class="cmmi-10">y</span>-direction.
- <!--l. 176--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-524-" ><colgroup id="TBL-524-1g"><col
-id="TBL-524-1"><col
-id="TBL-524-2"></colgroup><tr
- valign="baseline" id="TBL-524-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-524-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-603.svg" width="115.21051 " height="115.21051 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-524-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformyslant{-1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 188--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox329"><span
-class="cmtt-10">\pgftransformrotate</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degrees</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277009"></a>
- <!--l. 189--><p class="noindent">Rotates coordinates counterclockwise by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degrees</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 190--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-525-" ><colgroup id="TBL-525-1g"><col
-id="TBL-525-1"><col
-id="TBL-525-2"></colgroup><tr
- valign="baseline" id="TBL-525-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-525-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-604.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-525-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 201--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox330"><span
-class="cmtt-10">\pgftransformcm</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">a</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">b</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">c</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277010"></a>
- <!--l. 202--><p class="noindent">Applies the transformation matrix given by <span
-class="cmmi-10">a</span>, <span
-class="cmmi-10">b</span>, <span
-class="cmmi-10">c</span>, and <span
-class="cmmi-10">d </span>and the shift <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>to coordinates (in addition to
- any previous transformations already in force).
-
-
- <!--l. 205--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-526-" ><colgroup id="TBL-526-1g"><col
-id="TBL-526-1"><col
-id="TBL-526-2"></colgroup><tr
- valign="baseline" id="TBL-526-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-526-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-605.svg" width="115.21051 " height="124.82805 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-526-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformcm{1}{1}{0}{1}{\pgfpoint{.25cm}{.25cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 216--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox331"><span
-class="cmtt-10">\pgftransformarrow</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277011"></a>
- <!--l. 217--><p class="noindent">Shift coordinates to the end of the line going from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt; </span>to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt; </span>with the correct rotation.
- <!--l. 219--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-527-" ><colgroup id="TBL-527-1g"><col
-id="TBL-527-1"><col
-id="TBL-527-2"></colgroup><tr
- valign="baseline" id="TBL-527-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-527-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-606.svg" width="122.99335 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-527-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformarrow{\pgfpointorigin}{\pgfpoint{3cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{tip}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 230--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox332"><span
-class="cmtt-10">\pgftransformlineattime</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">time</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277012"></a>
- <!--l. 231--><p class="noindent">Shifts coordinates by a specific point on a line at a specific time. The point by which the coordinate is
- shifted is calculated by calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpointlineattime</span></span></span>, see Section&nbsp;<a
-href="pgfmanualse20.html#x21-21000020.4.2">20.4.2<!--tex4ht:ref: section-pointsattime --></a>.
- <!--l. 236--><p class="noindent">In addition to shifting the coordinate, a rotation <span
-class="cmti-10">may </span>also be applied. Whether this is the case depends on
- whether the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfslopedattime</span></span></span> is set to true or not.
- <!--l. 239--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-528-" ><colgroup id="TBL-528-1g"><col
-id="TBL-528-1"><col
-id="TBL-528-2"></colgroup><tr
- valign="baseline" id="TBL-528-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-528-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-607.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-528-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 247--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-529-" ><colgroup id="TBL-529-1g"><col
-id="TBL-529-1"><col
-id="TBL-529-2"></colgroup><tr
- valign="baseline" id="TBL-529-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-529-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-608.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-529-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfslopedattimetrue</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 257--><p class="noindent">There is another <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;if that influences this command. If you set <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfresetnontranslationattime</span></span></span> to
- true, then, between shifting the coordinate and (possibly) rotating/sloping the coordinate, the
- command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftransformresetnontranslations</span></span></span> is called. See the description of this command for
- details.
- <!--l. 262--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-530-" ><colgroup id="TBL-530-1g"><col
-id="TBL-530-1"><col
-id="TBL-530-2"></colgroup><tr
- valign="baseline" id="TBL-530-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-530-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-609.svg" width="115.34386 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-530-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformscale{1.5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfslopedattimetrue</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfresetnontranslationattimefalse</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 273--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-531-" ><colgroup id="TBL-531-1g"><col
-id="TBL-531-1"><col
-id="TBL-531-2"></colgroup><tr
- valign="baseline" id="TBL-531-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-531-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-610.svg" width="115.34386 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-531-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformscale{1.5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfslopedattimetrue</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfresetnontranslationattimetrue</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 288--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox333"><span
-class="cmtt-10">\pgftransformcurveattime</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">time</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first support</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second support</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277013"></a>
- <!--l. 289--><p class="noindent">Shifts coordinates by a specific point on a curve at a specific time, see Section&nbsp;<a
-href="pgfmanualse20.html#x21-21000020.4.2">20.4.2<!--tex4ht:ref: section-pointsattime --></a> once more.
- <!--l. 292--><p class="noindent">As for the line-at-time transformation command, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfslopedattime</span></span></span> decides whether an additional rotation
- should be applied.
-
-
- <!--l. 294--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-532-" ><colgroup id="TBL-532-1g"><col
-id="TBL-532-1"><col
-id="TBL-532-2"></colgroup><tr
- valign="baseline" id="TBL-532-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-532-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-611.svg" width="117.12717 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-532-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(1,2)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformcurveattime{.25}{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{0cm}{2cm}}{\pgfpoint{1cm}{2cm}}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 303--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-533-" ><colgroup id="TBL-533-1g"><col
-id="TBL-533-1"><col
-id="TBL-533-2"></colgroup><tr
- valign="baseline" id="TBL-533-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-533-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-612.svg" width="116.02284 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-533-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(1,2)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfslopedattimetrue</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformcurveattime{.25}{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfpoint{0cm}{2cm}}{\pgfpoint{1cm}{2cm}}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{Hi!}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 313--><p class="noindent">The value of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfresetnontranslationsattime</span></span></span> is also taken into account. </dd></dl>
-<!--l. 319--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox334"><span
-class="cmtt-10">\ifpgfslopedattime</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277014"></a>
- <!--l. 320--><p class="noindent">Decides whether the &#8220;at time&#8221; transformation commands also rotate coordinates or not. </dd></dl>
-<!--l. 326--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox335"><span
-class="cmtt-10">\ifpgfresetnontranslationsattime</span></span> </dt><dd
-class="description">
-<a
- id="dx27-277015"></a>
- <!--l. 327--><p class="noindent">Decides whether the &#8220;at time&#8221; transformation commands should reset the non-translations between
- shifting and rotating. </dd></dl>
-<!--l. 333--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">26.2.3 </span> <a
- id="x27-27800026.2.3"></a>Commands for Absolute Coordinate Transformations</h5>
-<!--l. 335--><p class="noindent">The coordinate transformation commands introduced up to now are always applied in addition to
-any previous transformations. In contrast, the commands presented in the following can be used to
-change the transformation matrix &#8220;absolutely.&#8221; Note that this is, in general, dangerous and will often
-produce unexpected effects. You should use these commands only if you really know what you are
-doing.
-<!--l. 342--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox336"><span
-class="cmtt-10">\pgftransformreset</span></span> </dt><dd
-class="description">
-<a
- id="dx27-278001"></a>
- <!--l. 343--><p class="noindent">Resets the coordinate transformation matrix to the identity matrix. Thus, once this command is given no
- transformations are applied till the end of the scope.
-
-
- <!--l. 346--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-534-" ><colgroup id="TBL-534-1g"><col
-id="TBL-534-1"><col
-id="TBL-534-2"></colgroup><tr
- valign="baseline" id="TBL-534-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-534-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-613.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-534-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformreset</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 358--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox337"><span
-class="cmtt-10">\pgftransformresetnontranslations</span></span> </dt><dd
-class="description">
-<a
- id="dx27-278002"></a>
- <!--l. 359--><p class="noindent">This command sets the <span
-class="cmmi-10">a</span>, <span
-class="cmmi-10">b</span>, <span
-class="cmmi-10">c</span>, and <span
-class="cmmi-10">d </span>part of the coordinate transformation matrix to <span
-class="cmmi-10">a </span>= 1, <span
-class="cmmi-10">b </span>= 0,
- <span
-class="cmmi-10">c </span>= 0, and <span
-class="cmmi-10">d </span>= 1. However, the current shifting of the matrix is not modified.
- <!--l. 363--><p class="noindent">The effect of this command is that any rotation/scaling/slanting is undone in the current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group,
- but the origin is not &#8220;moved back.&#8221;
- <!--l. 367--><p class="noindent">This command is mostly useful directly before a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> command to ensure that the text is not scaled or
- rotated.
- <!--l. 369--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-535-" ><colgroup id="TBL-535-1g"><col
-id="TBL-535-1"><col
-id="TBL-535-2"></colgroup><tr
- valign="baseline" id="TBL-535-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-535-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-614.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-535-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformscale{2}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxshift{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\color{red}\pgftext{rotated}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformresetnontranslations</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext{shifted</span><span
-class="cmtt-8">&nbsp;only}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 383--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox338"><span
-class="cmtt-10">\pgftransforminvert</span></span> </dt><dd
-class="description">
-<a
- id="dx27-278003"></a>
- <!--l. 384--><p class="noindent">Replaces the coordinate transformation matrix by a coordinate transformation matrix that &#8220;exactly
- undoes the original transformation.&#8221; For example, if the original transformation was &#8220;scale by 2 and
- then shift right by 1cm&#8221; the new one is &#8220;shift left by 1cm and then scale by 1<span
-class="cmmi-10">/</span>2.&#8221;
- <!--l. 390--><p class="noindent">This command will produce an error if the determinant of the matrix is too small, that is, if the matrix is
- near-singular.
-
-
- <!--l. 392--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-536-" ><colgroup id="TBL-536-1g"><col
-id="TBL-536-1"><col
-id="TBL-536-2"></colgroup><tr
- valign="baseline" id="TBL-536-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-536-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-615.svg" width="115.21051 " height="96.24208 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-536-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformrotate{30}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransforminvert</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 404--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">26.2.4 </span> <a
- id="x27-27900026.2.4"></a>Saving and Restoring the Coordinate Transformation Matrix</h5>
-<!--l. 406--><p class="noindent">There are two commands for saving and restoring coordinate transformation matrices.
-<!--l. 409--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox339"><span
-class="cmtt-10">\pgfgettransform</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-279001"></a>
- <!--l. 410--><p class="noindent">This command will (locally) define <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt; </span>to a representation of the current coordinate transformation
- matrix. This matrix can later on be reinstalled using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsettransform</span></span></span>. </dd></dl>
-<!--l. 416--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox340"><span
-class="cmtt-10">\pgfsettransform</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-279002"></a>
- <!--l. 417--><p class="noindent">Reinstalls a coordinate transformation matrix that was previously saved using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfgettransform</span></span></span>. </dd></dl>
-<!--l. 423--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">26.3 </span> <a
- id="x27-28000026.3"></a>Canvas Transformations</h4>
-<!--l. 425--><p class="noindent">The canvas transformation matrix is not managed by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, but by the output format like <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;or PostScript. All the
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;does is to call appropriate low-level <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands to change the canvas transformation
-matrix.
-<!--l. 430--><p class="indent"> Unlike coordinate transformations, canvas transformations apply to &#8220;everything,&#8221; including images, text,
-shadings, line thickness, and so on. The idea is that a canvas transformation really stretches and deforms the canvas
-after the graphic is finished.
-<!--l. 435--><p class="indent"> Unlike coordinate transformations, canvas transformations are local to the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>, not to the
-current <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group. This is due to the fact that they are managed by the backend driver, not by <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;or
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>.
-<!--l. 440--><p class="indent"> Unlike the coordinate transformation matrix, it is not possible to &#8220;reset&#8221; the canvas transformation matrix. The
-only way to change it is to concatenate it with another canvas transformation matrix or to end the current
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>.
-<!--l. 445--><p class="indent"> Unlike coordinate transformations, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;does not &#8220;keep track&#8221; of canvas transformations. In particular, it
-will not be able to correctly save the coordinates of shapes or nodes when a canvas transformation is
-used.
-<!--l. 450--><p class="indent"> <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;does not offer a whole set of special commands for modifying the canvas transformation matrix. Instead,
-different commands allow you to concatenate the canvas transformation matrix with a coordinate transformation
-matrix (and there are numerous commands for specifying a coordinate transformation, see the previous
-section).
-<!--l. 456--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox341"><span
-class="cmtt-10">\pgflowlevelsynccm</span></span> </dt><dd
-class="description">
-<a
- id="dx27-280001"></a>
- <!--l. 457--><p class="noindent">This command concatenates the canvas transformation matrix with the current coordinate
- transformation matrix. Afterward, the coordinate transformation matrix is reset.
- <!--l. 461--><p class="noindent">The effect of this command is to &#8220;synchronize&#8221; the coordinate transformation matrix and the
- canvas transformation matrix. All transformations that were previously applied by the coordinate
- transformations matrix are now applied by the canvas transformation matrix.
- <!--l. 467--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-537-" ><colgroup id="TBL-537-1g"><col
-id="TBL-537-1"><col
-id="TBL-537-2"></colgroup><tr
- valign="baseline" id="TBL-537-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-537-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-616.svg" width="115.61052 " height="77.67368 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-537-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformscale{5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxshift{0.2cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgflowlevelsynccm</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 481--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox342"><span
-class="cmtt-10">\pgflowlevel</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-280002"></a>
- <!--l. 482--><p class="noindent">This command concatenates the canvas transformation matrix with the coordinate transformation
- specified by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 485--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-538-" ><colgroup id="TBL-538-1g"><col
-id="TBL-538-1"><col
-id="TBL-538-2"></colgroup><tr
- valign="baseline" id="TBL-538-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-538-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-617.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-538-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgflowlevel{\pgftransformscale{5}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 496--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox343"><span
-class="cmtt-10">\pgflowlevelobj</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-280003"></a>
- <!--l. 497--><p class="noindent">This command creates a local <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. Inside this scope, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflowlevel</span></span></span> is first called with the
- argument <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span>, then the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is inserted.
-
-
- <!--l. 501--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-539-" ><colgroup id="TBL-539-1g"><col
-id="TBL-539-1"><col
-id="TBL-539-2"></colgroup><tr
- valign="baseline" id="TBL-539-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-539-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-618.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-539-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgflowlevelobj{\pgftransformscale{5}}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgflowlevelobj{\pgftransformxshift{-1cm}}{\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 512--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox344"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgflowlevelscope</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox345"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox346"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgflowlevelscope</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx27-280004"></a>
-<a
- id="dx27-280005"></a>
- <!--l. 513--><p class="noindent">This environment first surrounds the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt; </span>by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span>. Then it calls
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflowlevel</span></span></span> with the argument <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">transformation code</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 517--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-540-" ><colgroup id="TBL-540-1g"><col
-id="TBL-540-1"><col
-id="TBL-540-2"></colgroup><tr
- valign="baseline" id="TBL-540-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-540-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-619.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-540-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinewidth{1pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgflowlevelscope}{\pgftransformscale{5}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgflowlevelscope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgflowlevelscope}{\pgftransformxshift{-1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0.4,.2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgflowlevelscope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse27.html" >next</a>] [<a
-href="pgfmanualse25.html" >prev</a>] [<a
-href="pgfmanualse25.html#tailpgfmanualse25.html" >prev-tail</a>] [<a
-href="pgfmanualse26.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse26.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse26.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse27.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse27.html
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--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse27.html
+++ /dev/null
@@ -1,726 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>27 Declaring and Using Images</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse28.html" >next</a>] [<a
-href="pgfmanualse26.html" >prev</a>] [<a
-href="pgfmanualse26.html#tailpgfmanualse26.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse27.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse27.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">27 </span> <a
- id="x28-28100027"></a>Declaring and Using Images</h3>
-<!--l. 12--><p class="noindent">This section describes the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span> package.
-<!--l. 14--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox347"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfbaseimage</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx28-281001"></a>
-<a
- id="dx28-281002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox348"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseimage</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox349"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseimage</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 15--><p class="noindent">This package offers an abstraction of the image inclusion process. It is loaded automatically by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>,
- but you can load it manually if you have only included <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>. </dd></dl>
-<!--l. 20--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">27.1 </span> <a
- id="x28-28200027.1"></a>Overview</h4>
-<!--l. 22--><p class="noindent">To be quite frank, <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#8217;s <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\includegraphics</span></span></span> is designed better than <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseimage</span></span></span>. For this reason, <span
-class="cmti-10">I</span>
-<span
-class="cmti-10">recommend that you use the standard image inclusion mechanism of your format</span>. Thus, <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;users are
-encouraged to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\includegraphics</span></span></span> to include images.
-<!--l. 27--><p class="indent"> However, there are reasons why you might need to use the image inclusion facilities of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>:
- <ul class="itemize1">
- <li class="itemize">There is no standard image inclusion mechanism in your format. For example, plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;does not
- have one, so <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s inclusion mechanism is &#8220;better than nothing.&#8221;
- <!--l. 35--><p class="noindent">However, this applies only to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> backend. For all other backends, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;currently maps its
- commands back to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> package. Thus, in plain <span class="TEX">T<span
-class="E">E</span>X</span>, this does not really help. It might be a
- good idea to fix this in the future such that <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;becomes independent of <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>, thereby providing
- a uniform image abstraction for all formats.
- </li>
- <li class="itemize">You wish to use masking. This is a feature that is only supported by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, though I hope that someone
- will implement this also for the graphics package in <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;in the future.</li></ul>
-<!--l. 47--><p class="indent"> Whatever your choice, you can still use the usual image inclusion facilities of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphics</span></span></span> package.
-<!--l. 50--><p class="indent"> The general approach taken by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to including an image is the following: First, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclareimage</span></span></span> declares
-the image. This must be done prior to the first use of the image. Once you have declared an image, you can insert it
-into the text using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage</span></span></span>. The advantage of this two-phase approach is that, at least for <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>, the image
-data will only be included once in the file. This can drastically reduce the file size if you use an image repeatedly, for
-example in an overlay. However, there is also a command called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfimage</span></span></span> that declares and then immediately uses
-the image.
-<!--l. 61--><p class="indent"> To speedup the compilation, you may wish to use the following class option:
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox350"><span
-class="cmtt-10">\usepackage[</span><span
-class="cmtt-10">draft</span><span
-class="cmtt-10">]{pgf}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-282001"></a>
-<a
- id="dx28-282002"></a>
- <!--l. 64--><p class="noindent">In draft mode boxes showing the image name replace the images. It is checked whether the image files
- exist, but they are not read. If either height or width is not given, 1cm is used instead. </dd></dl>
-
-
-<!--l. 70--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">27.2 </span> <a
- id="x28-28300027.2"></a>Declaring an Image</h4>
-<!--l. 73--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox351"><span
-class="cmtt-10">\pgfdeclareimage</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-283001"></a>
- <!--l. 74--><p class="noindent">Declares an image, but does not paint anything. To draw the image, use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">image</span>
- <span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>. The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt; </span>may not have an extension. For <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>, the extensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.jpg</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.png</span></span></span> will
- automatically tried. For PostScript, the extensions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.eps</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.epsi</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span> will be tried.
- <!--l. 80--><p class="noindent">The following options are possible:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">height=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span> sets the height of the image. If the width is not specified simultaneously, the
- aspect ratio of the image is kept.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">width=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span> sets the width of the image. If the height is not specified simultaneously, the
- aspect ratio of the image is kept.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">page=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">page number</span><span
-class="cmsy-10">&gt;</span> selects a given page number from a multipage document. Specifying this option will
- have the following effect: first, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;tries to find a file named
- <div class="quote">
- <!--l. 95--><p class="noindent"><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.page</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">page number</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">extension</span><span
-class="cmsy-10">&gt;</span></div>
- <!--l. 97--><p class="noindent">If such a file is found, it will be used instead of the originally specified filename. If not, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;inserts the
- image stored in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">extension</span><span
-class="cmsy-10">&gt; </span>and if a recent version of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> is used, only the selected page
- is inserted. For older versions of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> and for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span> the complete document is inserted and a
- warning is printed.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">interpolate=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">true or false</span><span
-class="cmsy-10">&gt;</span> selects whether the image should &#8220;smoothed&#8221; when zoomed. False by
- default.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mask=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mask name</span><span
-class="cmsy-10">&gt;</span> selects a transparency mask. The mask must previously be declared using
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclaremask</span></span></span> (see below). This option only has an effect for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdf</span></span></span>. Not all viewers support
- masking.</li></ul>
- <!--l. 113--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-541-" ><colgroup id="TBL-541-1g"><col
-id="TBL-541-1"></colgroup><tr
- valign="baseline" id="TBL-541-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-541-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,height=1cm]{image1}{pgf-tu-logo}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]{image2}{pgf-tu-logo}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,height=1cm]{image3}{pgf-tu-logo}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 121--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox352"><span
-class="cmtt-10">\pgfaliasimage</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">existing image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-283002"></a>
- <!--l. 122--><p class="noindent">The <span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">existing image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>is &#8220;cloned&#8221; and the <span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">new image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>can now be used whenever
- original image is used. This command is useful for creating aliases for alternate extensions and for
- accessing the last image inserted using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfimage</span></span></span>.
- <!--l. 127--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfaliasimage{image.!30!white}{image.!25!white}</span></span></span> </dd></dl>
-
-
-<!--l. 131--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">27.3 </span> <a
- id="x28-28400027.3"></a>Using an Image</h4>
-<!--l. 133--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox353"><span
-class="cmtt-10">\pgfuseimage</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">image name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-284001"></a>
- <!--l. 134--><p class="noindent">Inserts a previously declared image into the <span
-class="cmti-10">normal text</span>. If you wish to use it in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>
- environment, you must put a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> around it.
- <!--l. 138--><p class="noindent">If the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfalternateextension</span></span></span> expands to some nonempty <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">alternate extension</span><span
-class="cmsy-10">&gt;</span>, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will
- first try to use the image names <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">image name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">alternate extension</span><span
-class="cmsy-10">&gt;</span>. If this image is not defined,
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will next check whether <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">alternate extension</span><span
-class="cmsy-10">&gt; </span>contains a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span> character. If so, everything up to this
- exclamation mark and including it is deleted from <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">alternate extension</span><span
-class="cmsy-10">&gt; </span>and the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;again tries to use
- the image <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">image name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">alternate extension</span><span
-class="cmsy-10">&gt;</span>. This is repeated until <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">alternate extension</span><span
-class="cmsy-10">&gt; </span>no longer
- contains a&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span>. Then the original image is used.
- <!--l. 149--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xxcolor</span></span></span> package sets the alternate extension to the current color mixin.
- <!--l. 152--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-542-" ><colgroup id="TBL-542-1g"><col
-id="TBL-542-1"><col
-id="TBL-542-2"></colgroup><tr
- valign="baseline" id="TBL-542-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-542-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-620.svg" width="39.47017 " height="191.21764 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-542-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]{image1}{pgf-tu-logo}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,width=1cm]{image2}{pgf-tu-logo}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,height=1cm]{image3}{pgf-tu-logo}</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{5cm},left,base]{\pgfuseimage{image1}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{3cm},left,base]{\pgfuseimage{image2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{1cm},left,base]{\pgfuseimage{image3}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{5cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{3cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{1cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 168--><p class="noindent">The following example demonstrates the effect of using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseimage</span></span></span> inside a color mixin environment.
-
-
- <!--l. 171--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-543-" ><colgroup id="TBL-543-1g"><col
-id="TBL-543-1"><col
-id="TBL-543-2"></colgroup><tr
- valign="baseline" id="TBL-543-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-543-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-621.svg" width="39.47017 " height="191.21764 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-543-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{image1.!25!white}{pgf-tu-logo.25}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,width=1cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{image2.25!white}{pgf-tu-logo.25}</span>
-<br><span
-class="cmtt-8">\pgfdeclareimage[interpolate=true,height=1cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{image3.white}{pgf-tu-logo.25}</span>
-<br><span
-class="cmtt-8">\begin{colormixin}{25!white}</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{5cm},left,base]{\pgfuseimage{image1}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{3cm},left,base]{\pgfuseimage{image2}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{1cm},left,base]{\pgfuseimage{image3}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{5cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{3cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{1cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span>
-<br><span
-class="cmtt-8">\end{colormixin}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 193--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox354"><span
-class="cmtt-10">\pgfalternateextension</span></span> </dt><dd
-class="description">
-<a
- id="dx28-284002"></a>
- <!--l. 194--><p class="noindent">You should redefine this command to install a different alternate extension.
- <!--l. 197--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\def\pgfalternateextension{!25!white}</span></span></span> </dd></dl>
-<!--l. 201--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox355"><span
-class="cmtt-10">\pgfimage</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-284003"></a>
- <!--l. 202--><p class="noindent">Declares the image under the name <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflastimage</span></span></span> and immediately uses it. You can &#8220;save&#8221; the image
- for later usage by invoking <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfaliasimage</span></span></span> on <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflastimage</span></span></span>.
-
-
- <!--l. 206--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-544-" ><colgroup id="TBL-544-1g"><col
-id="TBL-544-1"><col
-id="TBL-544-2"></colgroup><tr
- valign="baseline" id="TBL-544-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-544-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-622.svg" width="39.47017 " height="191.21764 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-544-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{colormixin}{25!white}</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{5cm},left,base]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfimage[interpolate=true,width=1cm,height=1cm]{pgf-tu-logo}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{3cm},left,base]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfimage[interpolate=true,width=1cm]{pgf-tu-logo}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{1cm},left,base]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfimage[interpolate=true,height=1cm]{pgf-tu-logo}}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{5cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{3cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{1cm}{1cm}}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span>
-<br><span
-class="cmtt-8">\end{colormixin}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 227--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">27.4 </span> <a
- id="x28-28500027.4"></a>Masking an Image</h4>
-<!--l. 230--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox356"><span
-class="cmtt-10">\pgfdeclaremask</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mask name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx28-285001"></a>
- <!--l. 231--><p class="noindent">Declares a transparency mask named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mask name</span><span
-class="cmsy-10">&gt; </span>(called a <span
-class="cmti-10">soft mask </span>in the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>specification). This
- mask is read from the file <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span>. This file should contain a grayscale image that is as large as
- the actual image. A white pixel in the mask will correspond to &#8220;transparent,&#8221; a black pixel to &#8220;solid,&#8221;
- and gray values correspond to intermediate values. The mask must have a single &#8220;color channel.&#8221; This
- means that the mask must be a &#8220;real&#8221; grayscale image, not an <span
-class="cmcsc-10"><small
-class="small-caps">R</small><small
-class="small-caps">G</small><small
-class="small-caps">B</small></span>-image in which all <span
-class="cmcsc-10"><small
-class="small-caps">R</small><small
-class="small-caps">G</small><small
-class="small-caps">B</small></span>-triples
- happen to have the same components.
- <!--l. 242--><p class="noindent">You can only mask images the are in a &#8220;pixel format.&#8221; These are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.jpg</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.png</span></span></span>. You cannot mask
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> images in this way. Also, again, the mask file and the image file must have the same size.
- <!--l. 246--><p class="noindent">The following options may be given:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">matte=</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color components</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">} </span>sets the so-called <span
-class="cmti-10">matte </span>of the actual image (strangely, this has to be
- specified together with the mask, not with the image itself). The matte is the color that has been
- used to preblend the image. For example, if the image has been preblended with a red background,
- then <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color components</span><span
-class="cmsy-10">&gt; </span>should be set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{1</span><span
-class="cmtt-10">&nbsp;0</span><span
-class="cmtt-10">&nbsp;0}</span></span></span>. The default is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{1</span><span
-class="cmtt-10">&nbsp;1</span><span
-class="cmtt-10">&nbsp;1}</span></span></span>, which is white in the
- rgb model.
- <!--l. 256--><p class="noindent">The matte is specified in terms of the parent&#8217;s image color space. Thus, if the parent is a grayscale
- image, the matte has to be set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{1}</span></span></span>.</li></ul>
- <!--l. 260--><p class="noindent"><span
-class="cmti-10">Example:</span>
-
-
- <!--l. 261--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-623.svg" width="532.11607 " height="190.68431 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><span
-class="cmr-5">pgflastimage</span>
- ____________<span
-class="cmr-5">pgflastimage</span>
- ____________<span
-class="cmr-5">pgflastimage</span>
- <!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-545-" ><colgroup id="TBL-545-1g"><col
-id="TBL-545-1"></colgroup><tr
- valign="baseline" id="TBL-545-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-545-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmsltt-10x-x-80">%%</span><span
-class="cmsltt-10x-x-80">&nbsp;Draw</span><span
-class="cmsltt-10x-x-80">&nbsp;a</span><span
-class="cmsltt-10x-x-80">&nbsp;large</span><span
-class="cmsltt-10x-x-80">&nbsp;colorful</span><span
-class="cmsltt-10x-x-80">&nbsp;background</span>
-<br><span
-class="cmtt-8">\pgfdeclarehorizontalshading{colorful}{5cm}{color(0cm)=(red);</span>
-<br><span
-class="cmtt-8">color(2cm)=(green);</span><span
-class="cmtt-8">&nbsp;color(4cm)=(blue);</span><span
-class="cmtt-8">&nbsp;color(6cm)=(red);</span>
-<br><span
-class="cmtt-8">color(8cm)=(green);</span><span
-class="cmtt-8">&nbsp;color(10cm)=(blue);</span><span
-class="cmtt-8">&nbsp;color(12cm)=(red);</span>
-<br><span
-class="cmtt-8">color(14cm)=(green)}</span>
-<br><span
-class="cmtt-8">\hbox{\pgfuseshading{colorful}\hskip-14cm\hskip1cm</span>
-<br><span
-class="cmtt-8">\pgfimage[height=4cm]{pgf-apple}\hskip1cm</span>
-<br><span
-class="cmtt-8">\pgfimage[height=4cm]{pgf-apple.mask}\hskip1cm</span>
-<br><span
-class="cmtt-8">\pgfdeclaremask{mymask}{pgf-apple.mask}</span>
-<br><span
-class="cmtt-8">\pgfimage[mask=mymask,height=4cm,interpolate=true]{pgf-apple}}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse28.html" >next</a>] [<a
-href="pgfmanualse26.html" >prev</a>] [<a
-href="pgfmanualse26.html#tailpgfmanualse26.html" >prev-tail</a>] [<a
-href="pgfmanualse27.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse27.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse27.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>28 Declaring and Using Shadings</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
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-<!-- html -->
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-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse29.html" >next</a>] [<a
-href="pgfmanualse27.html" >prev</a>] [<a
-href="pgfmanualse27.html#tailpgfmanualse27.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse28.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse28.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">28 </span> <a
- id="x29-28600028"></a>Declaring and Using Shadings</h3>
-<!--l. 12--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">28.1 </span> <a
- id="x29-28700028.1"></a>Overview</h4>
-<!--l. 14--><p class="noindent">A shading is an area in which the color changes smoothly between different colors. Similarly to an image, a
-shading must first be declared before it can be used. Also similarly to an image, a shading is put into a
-<span class="TEX">T<span
-class="E">E</span>X</span>-box. Hence, in order to include a shading in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>, you have to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> around
-it.
-<!--l. 20--><p class="indent"> There are three kinds of shadings: horizontal, vertical, and radial shadings. However, you can rotate and clip
-shadings like any other graphics object, which allows you to create more complicated shadings. Horizontal shadings
-could be created by rotating a vertical shading by 90 degrees, but explicit commands for creating both horizontal
-and vertical shadings are included for convenience.
-<!--l. 27--><p class="indent"> Once you have declared a shading, you can insert it into text using the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseshading</span></span></span>. This
-command cannot be used directly in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>, you have to put a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgftext</span></span></span> around it. The second command
-for using shadings, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfshadepath</span></span></span>, on the other hand, can only be used inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environments. It will
-&#8220;fill&#8221; the current path with the shading.
-<!--l. 34--><p class="indent"> A horizontal shading is a horizontal bar of a certain height whose color changes smoothly. You must at least
-specify the colors at the left and at the right end of the bar, but you can also add color specifications for points in
-between. For example, suppose you which to create a bar that is red at the left end, green in the
-middle, and blue at the end. Suppose you would like the bar to be 4cm long. This could be specified as
-follows:
-<!--l. 41--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-546-" ><colgroup id="TBL-546-1g"><col
-id="TBL-546-1"></colgroup><tr
- valign="baseline" id="TBL-546-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-546-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">rgb(0cm)=(1,0,0);</span><span
-class="cmtt-8">&nbsp;rgb(2cm)=(0,1,0);</span><span
-class="cmtt-8">&nbsp;rgb(4cm)=(0,0,1)</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 44--><p class="indent"> This line means that at 0cm (the left end) of the bar, the color should be red, which has red-green-blue (rgb)
-components (1,0,0). At 2cm, the bar should be green, and at 4cm it should be blue. Instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rgb</span></span></span>, you can
-currently also specify <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gray</span></span></span> as color model, in which case only one value is needed, or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color</span></span></span>, in which case you must
-provide the name of a color in parentheses. In a color specification the individual specifications must be separated
-using a semicolon, which may be followed by a whitespace (like a space or a newline). Individual specifications must
-be given in increasing order.
-<!--l. 55--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">28.2 </span> <a
- id="x29-28800028.2"></a>Declaring Shadings</h4>
-<!--l. 58--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox357"><span
-class="cmtt-10">\pgfdeclarehorizontalshading</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading height</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx29-288001"></a>
- <!--l. 59--><p class="noindent">Declares a horizontal shading named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt; </span>of the specified <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt; </span>with the specified colors.
- The length of the bar is deduced automatically from the maximum dimension in the specification.
- <!--l. 63--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-547-" ><colgroup id="TBL-547-1g"><col
-id="TBL-547-1"><col
-id="TBL-547-2"></colgroup><tr
- valign="baseline" id="TBL-547-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-547-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-624.svg" width="152.74744 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-547-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclarehorizontalshading{myshadingA}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{1cm}{rgb(0cm)=(1,0,0);</span><span
-class="cmtt-8">&nbsp;color(2cm)=(green);</span><span
-class="cmtt-8">&nbsp;color(4cm)=(blue)}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{myshadingA}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 69--><p class="noindent">The effect of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span>, which is a comma-separated list of colors, is the following: Normally, when this
- list is empty, once a shading has been declared, it becomes &#8220;frozen.&#8221; This means that even if you change a
- color that was used in the declaration of the shading later on, the shading will not change. By specifying a
-
-
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt; </span>you can specify that the shading should be recalculated whenever one of the colors listed in
- the list changes (this includes effects like color mixins). Thus, when you specify a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span>,
- whenever the shading is used, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;first converts the colors in the list to <span
-class="cmcsc-10"><small
-class="small-caps">R</small><small
-class="small-caps">G</small><small
-class="small-caps">B</small> </span>triples using the
- current values of the colors and taking any mixins and blends into account. If the resulting <span
-class="cmcsc-10"><small
-class="small-caps">R</small><small
-class="small-caps">G</small><small
-class="small-caps">B</small></span>
- triples have not yet been used, a new shading is internally created and used. Note that if the
- option <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt; </span>is used, then no shading is created until the first use of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfuseshading</span></span></span>.
- In particular, the colors mentioned in the shading need not be defined when the declaration is
- given.
- <!--l. 88--><p class="noindent">When a shading is recalculated because of a change in the colors mentioned in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span>, the complete
- shading is recalculated. Thus even colors not mentioned in the list will be used with their current values, not
- with the values they had upon declaration.
- <!--l. 94--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-625.svg" width="76.8737 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> <object data="pgfmanual-626.svg" width="76.8737 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-548-" ><colgroup id="TBL-548-1g"><col
-id="TBL-548-1"></colgroup><tr
- valign="baseline" id="TBL-548-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-548-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclarehorizontalshading[mycolor]{myshadingB}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{1cm}{rgb(0cm)=(1,0,0);</span><span
-class="cmtt-8">&nbsp;color(2cm)=(mycolor)}</span>
-<br><span
-class="cmtt-8">\colorlet{mycolor}{green}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{myshadingB}</span>
-<br><span
-class="cmtt-8">\colorlet{mycolor}{blue}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{myshadingB}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 106--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox358"><span
-class="cmtt-10">\pgfdeclareverticalshading</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx29-288002"></a>
- <!--l. 107--><p class="noindent">Declares a vertical shading named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt; </span>of the specified <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span>. The height of the bar is
- deduced automatically. The effect of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt; </span>is the same as for horizontal shadings.
- <!--l. 112--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-549-" ><colgroup id="TBL-549-1g"><col
-id="TBL-549-1"><col
-id="TBL-549-2"></colgroup><tr
- valign="baseline" id="TBL-549-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-549-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-627.svg" width="152.74744 " height="76.8737 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-549-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareverticalshading{myshadingC}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{4cm}{rgb(0cm)=(1,0,0);</span><span
-class="cmtt-8">&nbsp;rgb(1.5cm)=(0,1,0);</span><span
-class="cmtt-8">&nbsp;rgb(2cm)=(0,0,1)}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{myshadingC}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 121--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox359"><span
-class="cmtt-10">\pgfdeclareradialshading</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx29-288003"></a>
- <!--l. 122--><p class="noindent">Declares an radial shading. A radial shading is a circle whose inner color changes as specified by the
- color specification. Assuming that the center of the shading is at the origin, the color of the center
- will be the color specified for 0cm and the color of the border of the circle will be the color for the
- maximum dimension given in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color specified</span><span
-class="cmsy-10">&gt;</span>. This maximum will also be the radius of the circle.
- If the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">center point</span><span
-class="cmsy-10">&gt; </span>is not at the origin, the whole shading inside the circle (whose size remains exactly
- the same) will be distorted such that the given center now has the color specified for 0cm. The effect
- of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color list</span><span
-class="cmsy-10">&gt; </span>is the same as for horizontal shadings.
- <!--l. 134--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-550-" ><colgroup id="TBL-550-1g"><col
-id="TBL-550-1"><col
-id="TBL-550-2"></colgroup><tr
- valign="baseline" id="TBL-550-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-550-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-628.svg" width="80.66762 " height="80.66762 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-550-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfdeclareradialshading{sphere}{\pgfpoint{0.5cm}{0.5cm}}</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{rgb(0cm)=(0.9,0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rgb(0.7cm)=(0.7,0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rgb(1cm)=(0.5,0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rgb(1.05cm)=(1,1,1)}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{sphere}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </dd></dl>
-<!--l. 145--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">28.3 </span> <a
- id="x29-28900028.3"></a>Using Shadings</h4>
-<!--l. 148--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox360"><span
-class="cmtt-10">\pgfuseshading</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx29-289001"></a>
- <!--l. 149--><p class="noindent">Inserts a previously declared shading into the text. If you wish to use it in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpicture</span></span></span> environment,
- you should put a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfbox</span></span></span> around it.
- <!--l. 153--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-551-" ><colgroup id="TBL-551-1g"><col
-id="TBL-551-1"><col
-id="TBL-551-2"></colgroup><tr
- valign="baseline" id="TBL-551-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-551-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-631.svg" width="70.04785 " height="46.63496 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-551-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfdeclareverticalshading{myshadingD}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{20pt}{color(0pt)=(red);</span><span
-class="cmtt-8">&nbsp;color(20pt)=(blue)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{1cm}{0cm}]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\pgfuseshading{myshadingD}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftext[at=\pgfpoint{2cm}{0.5cm}]{\pgfuseshading{myshadingD}}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 163--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox361"><span
-class="cmtt-10">\pgfshadepath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">angle</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx29-289002"></a>
- <!--l. 164--><p class="noindent">This command must be used inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment. The effect is a bit complex, so let
- us go over it step by step.
- <!--l. 167--><p class="noindent">First, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will setup a local scope.
- <!--l. 169--><p class="noindent">Second, it uses the current path to clip everything inside this scope. However, the current path is once
- more available after the scope, so it can be used, for example, to stroke it.
- <!--l. 173--><p class="noindent">Now, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">shading name</span><span
-class="cmsy-10">&gt; </span>should be a shading whose width and height are 100 bp, that is, 100 big
- points. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;has a look at the bounding box of the current path. This bounding box is computed
- automatically when a path is computed; however, it can sometimes be (quite a bit) too large, especially
- when complicated curves are involved.
- <!--l. 180--><p class="noindent">Inside the scope, the low-level transformation matrix is modified. The center of the shading is translated
- (moved) such that it lies on the center of the bounding box of the path. The low-level coordinate
- system is also scaled such that the shading &#8220;covers&#8221; the shading (the details are a bit more complex,
- see below). Finally, the coordinate system is rotated by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">angle</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 187--><p class="noindent">After everything has been set up, the shading is inserted. Due to the transformations and clippings,
- the effect will be that the shading seems to &#8220;fill&#8221; the path.
- <!--l. 191--><p class="noindent">If both the path and the shadings were always rectangles and if rotation were never involved, it would
- be easy to scale shadings such they always cover the path. However, when a vertical shading is rotated,
- it must obviously be &#8220;magnified&#8221; so that it still covers the path. Things get worse when the path is
- not a rectangle itself.
- <!--l. 198--><p class="noindent">For these reasons, things work slightly differently &#8220;in reality.&#8221; The shading is scaled and translated
- such that the the point (50bp<span
-class="cmmi-10">,</span>50bp), which is the middle of the shading, is at the middle of the path
- and such that the the point (25bp<span
-class="cmmi-10">,</span>25bp) is at the lower left corner of the path and that (75bp<span
-class="cmmi-10">,</span>75bp)
- is at upper right corner.
- <!--l. 206--><p class="noindent">In other words, only the center quarter of the shading will actually &#8220;survive the clipping&#8221; if the path
- is a rectangle. If the path is not a rectangle, but, say, a circle, even less is seen of the shading. Here is
- an example that demonstrates this effect:
-
-
- <!--l. 211--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-632.svg" width="134.83281 " height="134.83281 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> <object data="pgfmanual-633.svg" width="380.90193 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-552-" ><colgroup id="TBL-552-1g"><col
-id="TBL-552-1"></colgroup><tr
- valign="baseline" id="TBL-552-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-552-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareverticalshading{myshadingE}{100bp}</span>
-<br><span
-class="cmtt-8">&nbsp;{color(0bp)=(red);</span><span
-class="cmtt-8">&nbsp;color(25bp)=(green);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(75bp)=(blue);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(100bp)=(black)}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{myshadingE}</span>
-<br><span
-class="cmtt-8">\hskip</span><span
-class="cmtt-8">&nbsp;1cm</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingE}{0}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{3cm}{0cm}}{\pgfpoint{1cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingE}{0}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{5cm}{0cm}}{\pgfpoint{2cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingE}{45}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{9cm}{1cm}}{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingE}{45}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 232--><p class="noindent">As can be seen above in the last case, the &#8220;hidden&#8221; part of the shading actually <span
-class="cmti-10">can </span>become visible if the
- shading is rotated. The reason is that it is scaled as if no rotation took place, then the rotation is
- done.
- <!--l. 237--><p class="noindent">The following graphics show which part of the shading are actually shown:
- <!--l. 240--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-637.svg" width="527.53375 " height="160.28314 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-553-" ><colgroup id="TBL-553-1g"><col
-id="TBL-553-1"></colgroup><tr
- valign="baseline" id="TBL-553-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-553-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareverticalshading{myshadingF}{100bp}</span>
-<br><span
-class="cmtt-8">&nbsp;{color(0bp)=(red);</span><span
-class="cmtt-8">&nbsp;color(25bp)=(green);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(75bp)=(blue);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(100bp)=(black)}</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,50bp)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{\pgfuseshading{myshadingF}};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[white,thick]</span><span
-class="cmtt-8">&nbsp;(25bp,25bp)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(75bp,75bp);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,0bp)</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{first</span><span
-class="cmtt-8">&nbsp;two</span><span
-class="cmtt-8">&nbsp;applications};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[xshift=5cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,50bp)</span><span
-class="cmtt-8">&nbsp;node{\pgfuseshading{myshadingF}};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rotate</span><span
-class="cmtt-8">&nbsp;around={45:(50bp,50bp)},white,thick]</span><span
-class="cmtt-8">&nbsp;(25bp,25bp)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(75bp,75bp);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,0bp)</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{third</span><span
-class="cmtt-8">&nbsp;application};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[xshift=10cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,50bp)</span><span
-class="cmtt-8">&nbsp;node{\pgfuseshading{myshadingF}};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[white,thick]</span><span
-class="cmtt-8">&nbsp;(50bp,50bp)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(25bp);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(50bp,0bp)</span><span
-class="cmtt-8">&nbsp;node[below]</span><span
-class="cmtt-8">&nbsp;{fourth</span><span
-class="cmtt-8">&nbsp;application};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 262--><p class="noindent">An advantage of this approach is that when you rotate a radial shading, no distortion is introduced:
-
-
- <!--l. 265--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-638.svg" width="134.83281 " height="134.83281 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> <object data="pgfmanual-639.svg" width="266.558 " height="76.87369 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-554-" ><colgroup id="TBL-554-1g"><col
-id="TBL-554-1"></colgroup><tr
- valign="baseline" id="TBL-554-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-554-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareradialshading{ballshading}{\pgfpoint{-10bp}{10bp}}</span>
-<br><span
-class="cmtt-8">&nbsp;{color(0bp)=(red!15!white);</span><span
-class="cmtt-8">&nbsp;color(9bp)=(red!75!white);</span>
-<br><span
-class="cmtt-8">&nbsp;color(18bp)=(red!70!black);</span><span
-class="cmtt-8">&nbsp;color(25bp)=(red!50!black);</span><span
-class="cmtt-8">&nbsp;color(50bp)=(black)}</span>
-<br><span
-class="cmtt-8">\pgfuseshading{ballshading}</span>
-<br><span
-class="cmtt-8">\hskip</span><span
-class="cmtt-8">&nbsp;1cm</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{ballshading}{0}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{3cm}{0cm}}{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{ballshading}{0}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathcircle{\pgfpoint{6cm}{0cm}}{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{ballshading}{45}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 284--><p class="noindent">If you specify a rotation of 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup> and if the path is not a square, but an elongated rectangle, the &#8220;desired&#8221; effect
- results: The shading will exactly vary between the colors at the 25bp and 75bp boundaries. Here is an
- example:
- <!--l. 289--><p class="noindent"><div class="obeylines-v"></div> <object data="pgfmanual-640.svg" width="305.02818 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-555-" ><colgroup id="TBL-555-1g"><col
-id="TBL-555-1"></colgroup><tr
- valign="baseline" id="TBL-555-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-555-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareverticalshading{myshadingG}{100bp}</span>
-<br><span
-class="cmtt-8">&nbsp;{color(0bp)=(red);</span><span
-class="cmtt-8">&nbsp;color(25bp)=(green);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(75bp)=(blue);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(100bp)=(black)}</span>
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingG}{0}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{3cm}{0cm}}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingG}{90}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathrectangle{\pgfpoint{6cm}{0cm}}{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfshadepath{myshadingG}{45}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 306--><p class="noindent">As a final example, let us define a &#8220;rainbow spectrum&#8221; shading for use with Ti<span
-class="cmti-10">k</span>Z.
- <!--l. 308--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-556-" ><colgroup id="TBL-556-1g"><col
-id="TBL-556-1"><col
-id="TBL-556-2"></colgroup><tr
- valign="baseline" id="TBL-556-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-556-1-1"
-class="td11"> &nbsp; <object data="pgfmanual-641.svg" width="152.74738 " height="76.87369 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-556-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclareverticalshading{rainbow}{100bp}</span>
-<br><span
-class="cmtt-8">&nbsp;{color(0bp)=(red);</span><span
-class="cmtt-8">&nbsp;color(25bp)=(red);</span><span
-class="cmtt-8">&nbsp;color(35bp)=(yellow);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(45bp)=(green);</span><span
-class="cmtt-8">&nbsp;color(55bp)=(cyan);</span><span
-class="cmtt-8">&nbsp;color(65bp)=(blue);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;color(75bp)=(violet);</span><span
-class="cmtt-8">&nbsp;color(100bp)=(violet)}</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}[shading=rainbow]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;node[white]</span><span
-class="cmtt-8">&nbsp;{\textsc{pride}}</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[shading</span><span
-class="cmtt-8">&nbsp;angle=90]</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 319--><p class="noindent">Note that rainbow shadings are <span
-class="cmti-10">way </span>to colorful in almost all applications. </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse29.html" >next</a>] [<a
-href="pgfmanualse27.html" >prev</a>] [<a
-href="pgfmanualse27.html#tailpgfmanualse27.html" >prev-tail</a>] [<a
-href="pgfmanualse28.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse28.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse28.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse29.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse29.html
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>29 Creating Plots</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse30.html" >next</a>] [<a
-href="pgfmanualse28.html" >prev</a>] [<a
-href="pgfmanualse28.html#tailpgfmanualse28.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse29.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse29.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">29 </span> <a
- id="x30-29000029"></a>Creating Plots</h3>
-<!--l. 12--><p class="noindent">This section describes the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfbaseplot</span></span></span> package.
-<!--l. 14--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox362"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfbaseplot</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx30-290001"></a>
-<a
- id="dx30-290002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox363"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseplot</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox364"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaseplot</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 15--><p class="noindent">This package provides a set of commands that are intended to make it reasonably easy to plot functions
- using <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. It is loaded automatically by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>, but you can load it manually if you have only included
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>. </dd></dl>
-<!--l. 21--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">29.1 </span> <a
- id="x30-29100029.1"></a>Overview</h4>
-<!--l. 23--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">29.1.1 </span> <a
- id="x30-29200029.1.1"></a>When Should One Use PGF for Generating Plots? </h5>
-<!--l. 25--><p class="noindent">There exist many powerful programs that produce plots, examples are <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>or <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">A</small><small
-class="small-caps">T</small><small
-class="small-caps">H</small><small
-class="small-caps">E</small><small
-class="small-caps">M</small><small
-class="small-caps">A</small><small
-class="small-caps">T</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">A</small></span>. These programs
-can produce two different kinds of output: First, they can output a complete plot picture in a certain format (like
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>) that includes all low-level commands necessary for drawing the complete plot (including axes and
-labels). Second, they can usually also produce &#8220;just plain data&#8221; in the form of a long list of coordinates.
-Most of the powerful programs consider it a to be &#8220;a bit boring&#8221; to just output tabled data and very
-much prefer to produce fancy pictures. Nevertheless, when coaxed, they can also provide the plain
-data.
-<!--l. 36--><p class="indent"> The plotting mechanism described in the following deals only with plotting data given in the form of a list of
-coordinates. Thus, this section is about using <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to turn lists of coordinates into plots.
-<!--l. 41--><p class="indent"> <span
-class="cmti-10">Note that is often not necessary to use </span><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span><span
-class="cmti-10">&nbsp;for this. </span>Programs like <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>can produce very
-sophisticated plots and it is usually much easier to simply include these plots as a finished <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>or PostScript
-graphics.
-<!--l. 46--><p class="indent"> However, there are a number of reasons why you may wish to invest time and energy into mastering the
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;commands for creating plots:
- <ul class="itemize1">
- <li class="itemize">Virtually all plots produced by &#8220;external programs&#8221; use different fonts from the one used in your
- document.
- </li>
- <li class="itemize">Even worse, formulas will look totally different, if they can be rendered at all.
- </li>
- <li class="itemize">Line width will usually be too large or too small.
- </li>
- <li class="itemize">Scaling effects upon inclusion can create a mismatch between sizes in the plot and sizes in the text.
-
-
- </li>
- <li class="itemize">The automatic grid generated by most programs is mostly distracting.
- </li>
- <li class="itemize">The automatic ticks generated by most programs are cryptic numerics. (Try adding a tick reading &#8220;<span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" /></span>&#8221;
- at the right point.)
- </li>
- <li class="itemize">Most programs make it very easy to create &#8220;chart junk&#8221; in a most convenient fashion. All show, no
- content.
- </li>
- <li class="itemize">Arrows and plot marks will almost never match the arrows used in the rest of the document.</li></ul>
-<!--l. 75--><p class="indent"> The above list is not exhaustive, unfortunately.
-<!--l. 78--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">29.1.2 </span> <a
- id="x30-29300029.1.2"></a>How PGF Handles Plots</h5>
-<!--l. 80--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;(conceptually) uses a two-stage process for generating plots. First, a <span
-class="cmti-10">plot stream </span>must be produced. This
-stream consists (more or less) of a large number of coordinates. Second a <span
-class="cmti-10">plot handler </span>is applied to the stream. A
-plot handler &#8220;does something&#8221; with the stream. The standard handler will issue line-to operations to the
-coordinates in the stream. However, a handler might also try to issue appropriate curve-to operations in order to
-smooth the curve. A handler may even do something else entirely, like writing each coordinate to another stream,
-thereby duplicating the original stream.
-<!--l. 91--><p class="indent"> Both for the creation of streams and the handling of streams different sets of commands exist. The commands
-for creating streams start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstream</span></span></span>, the commands for setting the handler start with
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplothandler</span></span></span>.
-<!--l. 98--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">29.2 </span> <a
- id="x30-29400029.2"></a>Generating Plot Streams</h4>
-<!--l. 100--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">29.2.1 </span> <a
- id="x30-29500029.2.1"></a>Basic Building Blocks of Plot Streams</h5>
-<!--l. 101--><p class="noindent">A <span
-class="cmti-10">plot stream </span>is a (long) sequence of the following three commands:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x30-295002x1"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstreamstart</span></span></span>,
- </li>
- <li class="enumerate" value="2"
-><a
- id="x30-295004x2"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstreampoint</span></span></span>, and
- </li>
- <li class="enumerate" value="3"
-><a
- id="x30-295006x3"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstreamend</span></span></span>.</li></ol>
-<!--l. 111--><p class="noindent">Between calls of these commands arbitrary other code may be called. Obviously, the stream should start with the first
-command and end with the last command. Here is an example of a plot stream:
-<!--l. 114--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-557-" ><colgroup id="TBL-557-1g"><col
-id="TBL-557-1"></colgroup><tr
- valign="baseline" id="TBL-557-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-557-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}</span>
-<br><span
-class="cmtt-8">\newdimen\mydim</span>
-<br><span
-class="cmtt-8">\mydim=2cm</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpoint{\mydim}{2cm}}</span>
-<br><span
-class="cmtt-8">\advance</span><span
-class="cmtt-8">&nbsp;\mydim</span><span
-class="cmtt-8">&nbsp;by</span><span
-class="cmtt-8">&nbsp;3cm</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpoint{\mydim}{2cm}}</span>
-<br><span
-class="cmtt-8">\pgfplotstreamend</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 125--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox365"><span
-class="cmtt-10">\pgfplotstreamstart</span></span> </dt><dd
-class="description">
-<a
- id="dx30-295007"></a>
- <!--l. 126--><p class="noindent">This command signals that a plot stream starts. The effect of this command is to call the internal
- command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreamstart</span></span></span>, which is set by the current plot handler to do whatever needs to
- be done at the beginning of the plot. </dd></dl>
-<!--l. 132--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox366"><span
-class="cmtt-10">\pgfplotstreampoint</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx30-295008"></a>
- <!--l. 133--><p class="noindent">This command adds a <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">point</span><span
-class="cmsy-10">&gt; </span>to the current plot stream. The effect of this command is to call the
- internal command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreampoint</span></span></span>, which is also set by the current plot handler. This command
- should now &#8220;handle&#8221; the point in some sensible way. For example, a line-to command might be issued
- for the point. </dd></dl>
-<!--l. 140--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox367"><span
-class="cmtt-10">\pgfplotstreamend</span></span> </dt><dd
-class="description">
-<a
- id="dx30-295009"></a>
- <!--l. 141--><p class="noindent">This command signals that a plot stream ends. It calls <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreamend</span></span></span>, which should now do
- any necessary &#8220;cleanup.&#8221; </dd></dl>
-<!--l. 145--><p class="indent"> Note that plot streams are not buffered, that is, the different points are handled immediately. However, using the
-recording handler, it is possible to record a stream.
-<!--l. 149--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">29.2.2 </span> <a
- id="x30-29600029.2.2"></a>Commands That Generate Plot Streams</h5>
-<!--l. 151--><p class="noindent">Plot streams can be created &#8220;by hand&#8221; as in the earlier example. However, most of the time the coordinates will be
-produced internally by some command. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotxyfile</span></span></span> reads a file and converts it into a plot
-stream.
-<!--l. 156--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox368"><span
-class="cmtt-10">\pgfplotxyfile</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx30-296001"></a>
- <!--l. 157--><p class="noindent">This command will try to open the file <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span>. If this succeeds, it will convert the file contents
- into a plot stream as follows: A <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstreamstart</span></span></span> is issued. Then, each nonempty line of the file
- should start with two numbers separated by a space, such as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.1</span><span
-class="cmtt-10">&nbsp;1</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">100</span><span
-class="cmtt-10">&nbsp;-.3</span></span></span>. Anything following
- the numbers is ignored.
- <!--l. 163--><p class="noindent">Each pair <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt; </span>of numbers is converted into one plot stream point in the xy-coordinate system. Thus, a
- line like
- <!--l. 165--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-558-" ><colgroup id="TBL-558-1g"><col
-id="TBL-558-1"></colgroup><tr
- valign="baseline" id="TBL-558-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-558-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">2</span><span
-class="cmtt-8">&nbsp;-5</span><span
-class="cmtt-8">&nbsp;some</span><span
-class="cmtt-8">&nbsp;text</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 168--><p class="noindent">is turned into
- <!--l. 169--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-559-" ><colgroup id="TBL-559-1g"><col
-id="TBL-559-1"></colgroup><tr
- valign="baseline" id="TBL-559-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-559-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpointxy{2}{-5}}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 173--><p class="noindent">The two characters <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">%</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">#</span></span></span> are also allowed in a file and they are both treated as comment characters. Thus, a
- line starting with either of them is empty and, hence, ignored.
- <!--l. 177--><p class="noindent">When the file has been read completely, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotstreamend</span></span></span> is called. </dd></dl>
-<!--l. 182--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox369"><span
-class="cmtt-10">\pgfplotxyzfile</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx30-296002"></a>
- <!--l. 183--><p class="noindent">This command works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotxyfile</span></span></span>, only <span
-class="cmti-10">three </span>numbers are expected on each non-empty line. They are
- converted into points in the xyz-coordinate system. Consider, the following file:
- <!--l. 186--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-560-" ><colgroup id="TBL-560-1g"><col
-id="TBL-560-1"></colgroup><tr
- valign="baseline" id="TBL-560-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-560-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Some</span><span
-class="cmsltt-10x-x-80">&nbsp;comments</span>
-<br><span
-class="cmtt-8">#</span><span
-class="cmtt-8">&nbsp;more</span><span
-class="cmtt-8">&nbsp;comments</span>
-<br><span
-class="cmtt-8">2</span><span
-class="cmtt-8">&nbsp;-5</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;1</span><span
-class="cmtt-8">&nbsp;first</span><span
-class="cmtt-8">&nbsp;entry</span>
-<br><span
-class="cmtt-8">2</span><span
-class="cmtt-8">&nbsp;-.2</span><span
-class="cmtt-8">&nbsp;2</span><span
-class="cmtt-8">&nbsp;second</span><span
-class="cmtt-8">&nbsp;entry</span>
-<br><span
-class="cmtt-8">2</span><span
-class="cmtt-8">&nbsp;-5</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;2</span><span
-class="cmtt-8">&nbsp;third</span><span
-class="cmtt-8">&nbsp;entry</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 193--><p class="noindent">It is turned into the following stream:
- <!--l. 194--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-561-" ><colgroup id="TBL-561-1g"><col
-id="TBL-561-1"></colgroup><tr
- valign="baseline" id="TBL-561-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-561-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpointxyz{2}{-5}{1}}</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpointxyz{2}{-.2}{2}}</span>
-<br><span
-class="cmtt-8">\pgfplotstreampoint{\pgfpointxyz{2}{-5}{2}}</span>
-<br><span
-class="cmtt-8">\pgfplotstreamend</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 204--><p class="indent"> Currently, there is no command that can decide automatically whether the xy-coordinate system should be used
-or whether the xyz-system should be used. However, it would not be terribly difficult to write a &#8220;smart file reader&#8221;
-that parses coordinate files a bit more intelligently.
-<!--l. 211--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox370"><span
-class="cmtt-10">\pgfplotgnuplot</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">function</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx30-296003"></a>
- <!--l. 212--><p class="noindent">This command will &#8220;try&#8221; to call the <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>program to generate the coordinates of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">function</span><span
-class="cmsy-10">&gt;</span>.
- In detail, the following happens:
- <!--l. 216--><p class="noindent">This command works with two files: <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span>. If the optional argument
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt; </span>is not given, it is set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\jobname</span></span></span>.
- <!--l. 220--><p class="noindent">Let us start with the situation where none of these files exists. Then <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will first generate the file
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span>. In this file it writes
- <!--l. 223--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-562-" ><colgroup id="TBL-562-1g"><col
-id="TBL-562-1"></colgroup><tr
- valign="baseline" id="TBL-562-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-562-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">set</span><span
-class="cmtt-8">&nbsp;terminal</span><span
-class="cmtt-8">&nbsp;table;</span><span
-class="cmtt-8">&nbsp;set</span><span
-class="cmtt-8">&nbsp;output</span><span
-class="cmtt-8">&nbsp;"#1.table";</span><span
-class="cmtt-8">&nbsp;set</span><span
-class="cmtt-8">&nbsp;format</span><span
-class="cmtt-8">&nbsp;"</span><span
-class="cmsltt-10x-x-80">%.5f"</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 226--><p class="noindent">where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">#1</span></span></span> is replaced by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span>. Then, in a second line, it writes the text <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">function</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 229--><p class="noindent">Next, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will try to invoke the program <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> with the argument <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span>. This call may or may
- not succeed, depending on whether the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\write18</span></span></span> mechanism (also known as shell escape) is switched on and
- whether the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> program is available.
- <!--l. 235--><p class="noindent">Assuming that the call succeeded, the next step is to invoke <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfplotxyfile</span></span></span> on the file <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span>; which
- is exactly the file that has just been created by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span>.
- <!--l. 239--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-563-" ><colgroup id="TBL-563-1g"><col
-id="TBL-563-1"><col
-id="TBL-563-2"></colgroup><tr
- valign="baseline" id="TBL-563-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-563-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-642.svg" width="153.14735 " height="117.1343 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-563-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,-1)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(4,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerlineto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotgnuplot[plots/pgfplotgnuplot-example]{plot</span><span
-class="cmtt-8">&nbsp;[x=0:3.5]</span><span
-class="cmtt-8">&nbsp;x*sin(x)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 248--><p class="noindent">The more difficult situation arises when the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> file exists, which will be the case on the second run of
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;on the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;file. In this case <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will read this file and check whether it contains exactly what
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;&#8220;would have written&#8221; into this file. If this is not the case, the file contents is overwritten with what
- &#8220;should be there&#8221; and, as above, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> is invoked to generate a new <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> file. However, if the file
- contents is &#8220;as expected,&#8221; the external <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> program is <span
-class="cmti-10">not </span>called. Instead, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> file is
- immediately read.
- <!--l. 259--><p class="noindent">As explained in Section&nbsp;<a
-href="pgfmanualse9.html#x10-1150009.12.3">9.12.3<!--tex4ht:ref: section-tikz-gnuplot --></a>, the net effect of the above mechanism is that <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> is called as little as
- possible and that when you pass along the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> files with your <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file to someone else, that
- person can <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file without having <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> installed and without having the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\write18</span></span></span> mechanism
- switched on. </dd></dl>
-<!--l. 269--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">29.3 </span> <a
- id="x30-29700029.3"></a>Plot Handlers</h4>
-<!--l. 273--><p class="noindent">A <span
-class="cmti-10">plot handler </span>prescribes what &#8220;should be done&#8221; with a plot stream. You must set the plot handler before the
-stream starts. The following commands install the most basic plot handlers; more plot handlers are defined in the
-file <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryplothandlers</span></span></span>, which is documented in Section&nbsp;<a
-href="pgfmanualse14.html#x15-16800014.3">14.3<!--tex4ht:ref: section-library-plothandlers --></a>.
-<!--l. 279--><p class="indent"> All plot handlers work by setting redefining the following three macros: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreamstart</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreampoint</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@plotstreamend</span></span></span>.
-<!--l. 283--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox371"><span
-class="cmtt-10">\pgfplothandlerlineto</span></span> </dt><dd
-class="description">
-<a
- id="dx30-297001"></a>
- <!--l. 284--><p class="noindent">This handler will issue a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathlineto</span></span></span> command for each point of the plot, <span
-class="cmti-10">except </span>possibly for the
- first. What happens with the first point can be specified using the two commands described below.
- <!--l. 289--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-564-" ><colgroup id="TBL-564-1g"><col
-id="TBL-564-1"><col
-id="TBL-564-2"></colgroup><tr
- valign="baseline" id="TBL-564-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-564-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-643.svg" width="115.3439 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-564-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerlineto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 304--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox372"><span
-class="cmtt-10">\pgfsetmovetofirstplotpoint</span></span> </dt><dd
-class="description">
-<a
- id="dx30-297002"></a>
- <!--l. 305--><p class="noindent">Specifies that the line-to plot handler (and also some other plot handlers) should issue a move-to
- command for the first point of the plot instead of a line-to. This will start a new part of the current
- path, which is not always, but often, desirable. This is the default. </dd></dl>
-<!--l. 312--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox373"><span
-class="cmtt-10">\pgfsetlinetofirstplotpoint</span></span> </dt><dd
-class="description">
-<a
- id="dx30-297003"></a>
- <!--l. 313--><p class="noindent">Specifies that plot handlers should issue a line-to command for the first point of the plot.
-
-
- <!--l. 316--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-565-" ><colgroup id="TBL-565-1g"><col
-id="TBL-565-1"><col
-id="TBL-565-2"></colgroup><tr
- valign="baseline" id="TBL-565-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-565-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-644.svg" width="115.3439 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-565-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathmoveto{\pgfpointorigin}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetlinetofirstplotpoint</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerlineto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{3cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 332--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox374"><span
-class="cmtt-10">\pgfplothandlerdiscard</span></span> </dt><dd
-class="description">
-<a
- id="dx30-297004"></a>
- <!--l. 333--><p class="noindent">This handler will simply throw away the stream. </dd></dl>
-<!--l. 336--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox375"><span
-class="cmtt-10">\pgfplothandlerrecord</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx30-297005"></a>
- <!--l. 337--><p class="noindent">When this handler is installed, each time a plot stream command is called, this command will be
- appended to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macros</span><span
-class="cmsy-10">&gt;</span>. Thus, at the end of the stream, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt; </span>will contain all the commands that
- were issued on the stream. You can then install another handler and invoke <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro</span><span
-class="cmsy-10">&gt; </span>to &#8220;replay&#8221; the
- stream (possibly many times).
- <!--l. 344--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-566-" ><colgroup id="TBL-566-1g"><col
-id="TBL-566-1"><col
-id="TBL-566-2"></colgroup><tr
- valign="baseline" id="TBL-566-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-566-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-645.svg" width="93.19803 " height="87.93433 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-566-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerrecord{\mystream}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamstart</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{2cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{3cm}{1cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreampoint{\pgfpoint{1cm}{2cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplotstreamend</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerlineto</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\mystream</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfplothandlerclosedcurve</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\mystream</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse30.html" >next</a>] [<a
-href="pgfmanualse28.html" >prev</a>] [<a
-href="pgfmanualse28.html#tailpgfmanualse28.html" >prev-tail</a>] [<a
-href="pgfmanualse29.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse29.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse29.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse3.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse3.html
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@@ -1,4152 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>3 Tutorial: A Picture for Karl&#8217;s Students</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse4.html" >next</a>] [<a
-href="pgfmanualse2.html" >prev</a>] [<a
-href="pgfmanualse2.html#tailpgfmanualse2.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse3.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse3.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">3 </span> <a
- id="x4-220003"></a>Tutorial: A Picture for Karl&#8217;s Students</h3>
-<!--l. 3--><p class="noindent">This tutorial is intended for new users of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z. It does not give an exhaustive account of all the features of
-Ti<span
-class="cmti-10">k</span>Z&nbsp;or <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, just of those that you are likely to use right away.
-<!--l. 7--><p class="indent"> Karl is a math and chemistry high-school teacher. He used to create the graphics in his worksheets and exams
-using <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&#8217;s <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{picture}</span></span></span> environment. While the results were acceptable, creating the graphics often turned out
-to be a lengthy process. Also, there tended to be problems with lines having slightly wrong angles and circles also
-seemed to be hard to get right. Naturally, his students could not care less whether the lines had the exact right
-angles and they find Karl&#8217;s exams too difficult no matter how nicely they were drawn. But Karl was never entirely
-satisfied with the result.
-<!--l. 17--><p class="indent"> Karl&#8217;s son, who was even less satisfied with the results (he did not have to take the exams, after all), told Karl
-that he might wish to try out a new package for creating graphics. A bit confusingly, this package seems to have two
-names: First, Karl had to download and install a package called <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. Then it turns out that inside this package
-there is another package called Ti<span
-class="cmti-10">k</span>Z, which is supposed to stand for &#8220;Ti<span
-class="cmti-10">k</span>Z&nbsp;ist <span
-class="cmti-10">kein </span>Zeichenprogramm.&#8221; Karl
-finds this all a bit strange and Ti<span
-class="cmti-10">k</span>Z&nbsp;seems to indicate that the package does not do what he needs.
-However, having used <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small> </span>software for quite some time and &#8220;<span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small> </span>not being Unix,&#8221; there seems to
-be hope yet. His son assures him that Ti<span
-class="cmti-10">k</span>Z&#8217;s name is intended to warn people that Ti<span
-class="cmti-10">k</span>Z&nbsp;is not a
-program that you can use to draw graphics with your mouse or tablet. Rather, it is more like a &#8220;graphics
-language.&#8221;
-<!--l. 33--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.1 </span> <a
- id="x4-230003.1"></a>Problem Statement</h4>
-<!--l. 35--><p class="noindent">Karl wants to put a graphic on the next worksheet for his students. He is currently teaching his students about sine
-and cosine. What he would like to have is something that looks like this (ideally):
-<!--l. 40--><p class="noindent"><object data="pgfmanual-5.svg" width="621.90195 " height="360.18604 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-
-
-<!--l. 115--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.2 </span> <a
- id="x4-240003.2"></a>Setting up the Environment</h4>
-<!--l. 117--><p class="noindent">In Ti<span
-class="cmti-10">k</span>Z, to draw a picture, at the start of the picture you need to tell <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;or <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;that you want to start a
-picture. In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;this is done using the environment <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span>, in plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;you just use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzpicture</span></span></span>
-to start the picture and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\endtikzpicture</span></span></span> to end it.
-<!--l. 123--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">3.2.1 </span> <a
- id="x4-250003.2.1"></a>Setting up the Environment in <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span></h5>
-<!--l. 125--><p class="noindent">Karl, being a <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;user, thus sets up his file as follows:
-<!--l. 127--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-4-" ><colgroup id="TBL-4-1g"><col
-id="TBL-4-1"></colgroup><tr
- valign="baseline" id="TBL-4-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-4-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\documentclass{article}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;say</span>
-<br><span
-class="cmtt-8">\usepackage{tikz}</span>
-<br><span
-class="cmtt-8">\begin{document}</span>
-<br><span
-class="cmtt-8">We</span><span
-class="cmtt-8">&nbsp;are</span><span
-class="cmtt-8">&nbsp;working</span><span
-class="cmtt-8">&nbsp;on</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}.</span>
-<br><span
-class="cmtt-8">\end{document}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 139--><p class="indent"> When executed, that is, run via <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> or via <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span> followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>, the resulting will contain something
-that looks like this:
-<!--l. 142--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-5-" ><colgroup id="TBL-5-1g"><col
-id="TBL-5-1"><col
-id="TBL-5-2"></colgroup><tr
- valign="baseline" id="TBL-5-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-5-1-1"
-class="td11"> &nbsp;We are working on<object data="pgfmanual-6.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-5-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">We</span><span
-class="cmtt-8">&nbsp;are</span><span
-class="cmtt-8">&nbsp;working</span><span
-class="cmtt-8">&nbsp;on</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}.</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 150--><p class="indent"> Admittedly, not quite the whole picture, yet, but we do have the axes established. Well, not quite, but we have
-the lines that make up the axes drawn. Karl suddenly has a sinking feeling that the picture is still some way
-off.
-<!--l. 155--><p class="indent"> Let&#8217;s have a more detailed look at the code. First, the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz</span></span></span> is loaded. This package is a so-called
-&#8220;frontend&#8221; to the basic <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system. The basic layer, which is also described in this manual, is somewhat
-more, well, basic and thus harder to use. The frontend makes things easier by providing a simpler
-syntax.
-<!--l. 161--><p class="indent"> Inside the environment there are two <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> commands. They mean: &#8220;The path, which is specified following the
-command up to the semicolon, should be drawn.&#8221; The first path is specified as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(-1.5,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(0,1.5)</span></span></span>,
-which means &#8220;a straight line from the point at position (<span
-class="cmsy-10">-</span>1<span
-class="cmmi-10">.</span>5<span
-class="cmmi-10">,</span>0) to the point at position (0<span
-class="cmmi-10">,</span>1<span
-class="cmmi-10">.</span>5).&#8221;
-Here, the positions are specified within a special coordinate system in which, initially, one unit is
-1cm.
-<!--l. 169--><p class="indent"> Karl is quite pleased to note that the environment automatically reserves enough space to encompass the
-picture.
-<!--l. 173--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">3.2.2 </span> <a
- id="x4-260003.2.2"></a>Setting up the Environment in Plain <span class="TEX">T<span
-class="E">E</span>X</span></h5>
-<!--l. 175--><p class="noindent">Karl&#8217;s wife Gerda, who also happens to be a math teacher, is not a <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;user, but uses plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;since she
-prefers to do things &#8220;the old way.&#8221; She can also use Ti<span
-class="cmti-10">k</span>Z. Instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{tikz}</span></span></span> she has to
-write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input</span><span
-class="cmtt-10">&nbsp;tikz.tex</span></span></span> and instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\begin{tikzpicture}</span></span></span> she writes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzpicture</span></span></span> and instead of
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\end{tikzpicture}</span></span></span> she writes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\endtikzpicture</span></span></span>.
-<!--l. 182--><p class="indent"> Thus, she would use:
-
-
-<!--l. 183--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-6-" ><colgroup id="TBL-6-1g"><col
-id="TBL-6-1"></colgroup><tr
- valign="baseline" id="TBL-6-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-6-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmsltt-10x-x-80">%%</span><span
-class="cmsltt-10x-x-80">&nbsp;Plain</span><span
-class="cmsltt-10x-x-80">&nbsp;TeX</span><span
-class="cmsltt-10x-x-80">&nbsp;file</span>
-<br><span
-class="cmtt-8">\input</span><span
-class="cmtt-8">&nbsp;tikz.tex</span>
-<br><span
-class="cmtt-8">\baselineskip=12pt</span>
-<br><span
-class="cmtt-8">\hsize=6.3truein</span>
-<br><span
-class="cmtt-8">\vsize=8.7truein</span>
-<br><span
-class="cmtt-8">We</span><span
-class="cmtt-8">&nbsp;are</span><span
-class="cmtt-8">&nbsp;working</span><span
-class="cmtt-8">&nbsp;on</span>
-<br><span
-class="cmtt-8">\tikzpicture</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">\endtikzpicture.</span>
-<br><span
-class="cmtt-8">\bye</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 197--><p class="indent"> Gerda can typeset this file using either <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span> together with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>. Ti<span
-class="cmti-10">k</span>Z&nbsp;will automatically discern
-which driver she is using. If she wishes to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span> together with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span>, she either needs to modify the file
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf.cfg</span></span></span> or can write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\def\pgfsysdriver{pgfsys-dvipdfm.def}</span></span></span> somewhere <span
-class="cmti-10">before </span>she inputs <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz.tex</span></span></span> or
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf.tex</span></span></span>.
-<!--l. 207--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.3 </span> <a
- id="x4-270003.3"></a>Straight Path Construction</h4>
-<!--l. 209--><p class="noindent">The basic building block of all pictures in Ti<span
-class="cmti-10">k</span>Z&nbsp;is the path. A <span
-class="cmti-10">path </span>is a series of straight lines and curves that are
-connected (that is not the whole picture, but let us ignore the complications for the moment). You
-start a path by specifying the coordinates of the start position as a point in round brackets, as in
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span>. This is followed by a series of &#8220;path extension operations.&#8221; The simplest is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>, which we used
-already. It must be followed by another coordinate and it extends the path in a straight line to this new
-position. For example, if we were to turn the two paths of the axes into one path, the following would
-result:
-<!--l. 220--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-7-" ><colgroup id="TBL-7-1g"><col
-id="TBL-7-1"><col
-id="TBL-7-2"></colgroup><tr
- valign="baseline" id="TBL-7-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-7-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-7.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-7-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 224--><p class="indent"> Karl is a bit confused by the fact that there is no <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment, here. Instead, the little
-command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span></span></span> is used. This command either takes one argument (starting with an opening brace as in
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz{\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(1.5,0)}</span></span></span>, which yields <object data="pgfmanual-8.svg" width="58.43857 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>) or collects everything up to the next semicolon and
-puts it inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment. As a rule of thumb, all Ti<span
-class="cmti-10">k</span>Z&nbsp;graphic drawing commands must occur
-as an argument of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span></span></span> or inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment. Fortunately, the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> will only be
-defined inside this environment, so there is little chance that you will accidentally do something wrong
-here.
-<!--l. 237--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.4 </span> <a
- id="x4-280003.4"></a>Curved Path Construction</h4>
-<!--l. 239--><p class="noindent">The next thing Karl wants to do is to draw the circle. For this, straight lines obviously will not do. Instead, we need
-some way to draw curves. For this, Ti<span
-class="cmti-10">k</span>Z&nbsp;provides a special syntax. One or two &#8220;control points&#8221; are needed. The
-math behind them is not quite trivial, but here is the basic idea: Suppose you are at point <span
-class="cmmi-10">x </span>and the first control
-point is <span
-class="cmmi-10">y</span>. Then the curve will start &#8220;going in the direction of&nbsp;<span
-class="cmmi-10">y </span>at&nbsp;<span
-class="cmmi-10">x</span>,&#8221; that is, the tangent of the
-curve at <span
-class="cmmi-10">x </span>will point toward&nbsp;<span
-class="cmmi-10">y</span>. Next, suppose the curve should end at <span
-class="cmmi-10">z </span>and the second support point
-is <span
-class="cmmi-10">w</span>. Then the curve will, indeed, end at <span
-class="cmmi-10">z </span>and the tangent of the curve at point <span
-class="cmmi-10">z </span>will go through
-<span
-class="cmmi-10">w</span>.
-<!--l. 250--><p class="indent"> Here is an example (the control points have been added for clarity):
-
-
-<!--l. 251--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-8-" ><colgroup id="TBL-8-1g"><col
-id="TBL-8-1"><col
-id="TBL-8-2"></colgroup><tr
- valign="baseline" id="TBL-8-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-8-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-9.svg" width="82.74033 " height="44.80348 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-8-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw</span><span
-class="cmtt-8">&nbsp;[gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(2,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 261--><p class="indent"> The general syntax for extending a path in a &#8220;curved&#8221; way is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span><span
-class="cmtt-10">&nbsp;controls</span></span></span> <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first control point</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span> <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second</span>
-<span
-class="cmti-10">control point</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span> <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end point</span><span
-class="cmsy-10">&gt;</span>. You can leave out the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span> <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second control point</span><span
-class="cmsy-10">&gt;</span>, which causes the first one to be used
-twice.
-<!--l. 267--><p class="indent"> So, Karl can now add the first half circle to the picture:
-<!--l. 269--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-9-" ><colgroup id="TBL-9-1g"><col
-id="TBL-9-1"><col
-id="TBL-9-2"></colgroup><tr
- valign="baseline" id="TBL-9-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-9-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-10.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-9-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(-1,0.555)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(-0.555,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(0,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(0.555,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(1,0.555)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(1,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 278--><p class="indent"> Karl is happy with the result, but finds specifying circles in this way to be extremely awkward. Fortunately,
-there is a much simpler way.
-<!--l. 282--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.5 </span> <a
- id="x4-290003.5"></a>Circle Path Construction</h4>
-<!--l. 284--><p class="noindent">In order to draw a circle, the path construction operation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span> can be used. This operation is followed by a radius
-in round brackets as in the following example: (Note that the previous position is used as the <span
-class="cmti-10">center </span>of the
-circle.)
-<!--l. 289--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-10-" ><colgroup id="TBL-10-1g"><col
-id="TBL-10-1"><col
-id="TBL-10-2"></colgroup><tr
- valign="baseline" id="TBL-10-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-10-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-11.svg" width="28.19987 " height="28.19987 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-10-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(10pt);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 293--><p class="indent"> You can also append an ellipse to the path using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span> operation. Instead of a single radius you can
-specify two of them, one for the <span
-class="cmmi-10">x</span>-direction and one for the <span
-class="cmmi-10">y</span>-direction, separated by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span>:
-<!--l. 298--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-11-" ><colgroup id="TBL-11-1g"><col
-id="TBL-11-1"><col
-id="TBL-11-2"></colgroup><tr
- valign="baseline" id="TBL-11-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-11-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-12.svg" width="54.86644 " height="28.19987 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-11-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(20pt</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;10pt);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 302--><p class="indent"> To draw an ellipse whose axes are not horizontal and vertical, but point in an arbitrary direction (a &#8220;turned
-ellipse&#8221; like <object data="pgfmanual-13.svg" width="17.60966 " height="13.37836 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>) you can use transformations, which are explained later. The code for the little ellipse is
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\draw[rotate=30]</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;ellipse</span><span
-class="cmtt-10">&nbsp;(6pt</span><span
-class="cmtt-10">&nbsp;and</span><span
-class="cmtt-10">&nbsp;3pt);</span></span></span>, by the way.
-<!--l. 309--><p class="indent"> So, returning to Karl&#8217;s problem, he can write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;circle</span><span
-class="cmtt-10">&nbsp;(1cm);</span></span></span> to draw the circle:
-<!--l. 312--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-12-" ><colgroup id="TBL-12-1g"><col
-id="TBL-12-1"><col
-id="TBL-12-2"></colgroup><tr
- valign="baseline" id="TBL-12-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-12-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-14.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-12-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-
-
-</div>
-<!--l. 321--><p class="indent"> At this point, Karl is a bit alarmed that the circle is so small when he wants the final picture to
-be much bigger. He is pleased to learn that Ti<span
-class="cmti-10">k</span>Z&nbsp;has powerful transformation options and scaling
-everything by a factor of three is very easy. But let us leave the size as it is for the moment to save some
-space.
-<!--l. 330--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.6 </span> <a
- id="x4-300003.6"></a>Rectangle Path Construction</h4>
-<!--l. 332--><p class="noindent">The next things we would like to have is the grid in the background. There are several ways to produce it. For
-example, one might draw lots of rectangles. Since rectangles are so common, there is a special syntax for them: To
-add a rectangle to the current path, use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> path construction operation. This operation should
-be followed by another coordinate and will append a rectangle to the path such that the previous
-coordinate and the next coordinates are corners of the rectangle. So, let us add two rectangles to the
-picture:
-<!--l. 341--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-13-" ><colgroup id="TBL-13-1g"><col
-id="TBL-13-1"><col
-id="TBL-13-2"></colgroup><tr
- valign="baseline" id="TBL-13-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-13-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-15.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-13-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(0.5,0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-0.5,-0.5)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(-1,-1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 351--><p class="indent"> While this may be nice in other situations, this is not really leading anywhere with Karl&#8217;s problem: First, we
-would need an awful lot of these rectangles and then there is the border that is not &#8220;closed.&#8221;
-<!--l. 355--><p class="indent"> So, Karl is about to resort to simply drawing four vertical and four horizontal lines using the nice <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span>
-command, when he learns that there is a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grid</span></span></span> path construction operation.
-<!--l. 361--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.7 </span> <a
- id="x4-310003.7"></a>Grid Path Construction</h4>
-<!--l. 363--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grid</span></span></span> path operation adds a grid to the current path. It will add lines making up a grid that fills the rectangle
-whose one corner is the current point and whose other corner is the point following the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grid</span></span></span> operation. For
-example, the code <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\draw[step=2pt]</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;grid</span><span
-class="cmtt-10">&nbsp;(10pt,10pt);</span></span></span> produces <object data="pgfmanual-16.svg" width="14.8666 " height="14.8666 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. Note how the optional
-argument for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> can be used to specify a grid width (there are also <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xstep</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ystep</span></span></span> to define the steppings
-independently). As Karl will learn soon, there are <span
-class="cmti-10">lots </span>of things that can be influenced using such
-options.
-<!--l. 374--><p class="indent"> For Karl, the following code could be used:
-<!--l. 376--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-14-" ><colgroup id="TBL-14-1g"><col
-id="TBL-14-1"><col
-id="TBL-14-2"></colgroup><tr
- valign="baseline" id="TBL-14-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-14-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-17.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-14-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 385--><p class="indent"> Having another look at the desired picture, Karl notices that it would be nice for the grid to be more subdued.
-(His son told him that grids tend to be distracting if they are not subdued.) To subdue the grid, Karl adds two more
-options to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> command that draws the grid. First, he uses the color <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gray</span></span></span> for the grid lines. Second, he
-reduces the line width to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">very</span><span
-class="cmtt-10">&nbsp;thin</span></span></span>. Finally, he swaps the ordering of the commands so that the grid is drawn first
-and everything else on top.
-<!--l. 394--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-15-" ><colgroup id="TBL-15-1g"><col
-id="TBL-15-1"><col
-id="TBL-15-2"></colgroup><tr
- valign="baseline" id="TBL-15-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-15-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-18.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-15-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 404--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.8 </span> <a
- id="x4-320003.8"></a>Adding a Touch of Style</h4>
-<!--l. 406--><p class="noindent">Instead of the options <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gray,very</span><span
-class="cmtt-10">&nbsp;thin</span></span></span> Karl could also have said <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span>. <span
-class="cmti-10">Styles </span>are predefined sets of
-options that can be used to organize how a graphic is drawn. By saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span> you say
-&#8220;use the style that I (or someone else) has set for drawing help lines.&#8221; If Karl decides, at some later
-point, that grids should be drawn, say, using the color <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">blue!50</span></span></span> instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gray</span></span></span>, he could say the
-following:
-<!--l. 413--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-16-" ><colgroup id="TBL-16-1g"><col
-id="TBL-16-1"></colgroup><tr
- valign="baseline" id="TBL-16-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-16-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikzstyle</span><span
-class="cmtt-8">&nbsp;help</span><span
-class="cmtt-8">&nbsp;lines=[color=blue!50,very</span><span
-class="cmtt-8">&nbsp;thin]</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 416--><p class="indent"> Alternatively, he could have said the following:
-<!--l. 417--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-17-" ><colgroup id="TBL-17-1g"><col
-id="TBL-17-1"></colgroup><tr
- valign="baseline" id="TBL-17-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-17-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikzstyle</span><span
-class="cmtt-8">&nbsp;help</span><span
-class="cmtt-8">&nbsp;lines+=[color=blue!50]</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 420--><p class="indent"> This would have added the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=blue!50</span></span></span> option. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span> style would now contain <span
-class="cmti-10">two </span>color options,
-but the second would override the first.
-<!--l. 424--><p class="indent"> Using styles makes your graphics code more flexible. You can change the way things look easily in a consistent
-manner.
-<!--l. 427--><p class="indent"> To build a hierarchy of styles you can have one style use another. So in order to define a style <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">Karl's</span><span
-class="cmtt-10">&nbsp;grid</span></span></span> that
-is based on the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grid</span></span></span> style Karl could say
-<!--l. 430--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-18-" ><colgroup id="TBL-18-1g"><col
-id="TBL-18-1"></colgroup><tr
- valign="baseline" id="TBL-18-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-18-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle</span><span
-class="cmtt-8">&nbsp;Karl's</span><span
-class="cmtt-8">&nbsp;grid=[style=help</span><span
-class="cmtt-8">&nbsp;lines,color=blue!50]</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">\draw[style=Karl's</span><span
-class="cmtt-8">&nbsp;grid]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(5,5);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 436--><p class="indent"> You can also leave out the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=</span></span></span>. Thus, whenever Ti<span
-class="cmti-10">k</span>Z&nbsp;encounters an options that it does not know about, it
-will check whether this option happens to be the name of a style. If so, the style is used. Thus, Karl could also have
-written:
-<!--l. 440--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-19-" ><colgroup id="TBL-19-1g"><col
-id="TBL-19-1"></colgroup><tr
- valign="baseline" id="TBL-19-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-19-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle</span><span
-class="cmtt-8">&nbsp;Karl's</span><span
-class="cmtt-8">&nbsp;grid=[help</span><span
-class="cmtt-8">&nbsp;lines,color=blue!50]</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">\draw[Karl's</span><span
-class="cmtt-8">&nbsp;grid]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(5,5);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 446--><p class="indent"> For some styles, like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">very</span><span
-class="cmtt-10">&nbsp;thin</span></span></span> style, it is pretty clear what the style does and there is no need to say
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=very</span><span
-class="cmtt-10">&nbsp;thin</span></span></span>. For other styles, like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span>, it seems more natural to me to say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span>. But,
-mainly, this is a matter of taste.
-<!--l. 452--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.9 </span> <a
- id="x4-330003.9"></a>Drawing Options</h4>
-
-
-<!--l. 454--><p class="noindent">Karl wonders what other options there are that influence how a path is drawn. He saw already that the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>option can be used to set the line&#8217;s color. The option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">color</span><span
-class="cmsy-10">&gt; </span>does nearly the same, only it sets
-the color for the lines only and a different color can be used for filling (Karl will need this when he fills the arc for
-the angle).
-<!--l. 461--><p class="indent"> He saw that the style <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">very</span><span
-class="cmtt-10">&nbsp;thin</span></span></span> yields very thin lines. Karl is not really surprised by this and neither is he
-surprised to learn that <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thin</span></span></span> yields thin lines, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thick</span></span></span> yields thick lines, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">very</span><span
-class="cmtt-10">&nbsp;thick</span></span></span> yields very thick lines,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ultra</span><span
-class="cmtt-10">&nbsp;thick</span></span></span> yields really, really thick lines and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ultra</span><span
-class="cmtt-10">&nbsp;thin</span></span></span> yields lines that are so thin that low-resolution printers
-and displays will have trouble showing them. He wonders what gives lines of &#8220;normal&#8221; thickness. It turns out that
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thin</span></span></span> is the correct choice. This seems strange to Karl, but his son explains him that <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;has two commands
-called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\thinlines</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\thicklines</span></span></span> and that <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\thinlines</span></span></span> gives the line width of &#8220;normal&#8221; lines,
-more precisely, of the thickness that, say, the stem of a letter like &#8220;T&#8221; or &#8220;i&#8221; has. Nevertheless, Karl
-would like to know whether there is anything &#8220;in the middle&#8221; between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thick</span></span></span>. There is:
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">semithick</span></span></span>.
-<!--l. 476--><p class="indent"> Another useful thing one can do with lines is to dash or dot them. For this, the two styles <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dashed</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dotted</span></span></span>
-can be used, yielding <object data="pgfmanual-19.svg" width="14.8666 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and <object data="pgfmanual-20.svg" width="14.8666 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. Both options also exist in a loose and a dense version, called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">loosely</span><span
-class="cmtt-10">&nbsp;dashed</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">densely</span><span
-class="cmtt-10">&nbsp;dashed</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">loosely</span><span
-class="cmtt-10">&nbsp;dotted</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">densely</span><span
-class="cmtt-10">&nbsp;dotted</span></span></span>. If he really, really needs to, Karl can also define much
-more complex dashing patterns with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dash</span><span
-class="cmtt-10">&nbsp;pattern</span></span></span> option, but his son insists that dashing is to be used with
-utmost care and mostly distracts. Karl&#8217;s son claims that complicated dashing patterns are evil. Karl&#8217;s students do
-not care about dashing patterns.
-<!--l. 489--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.10 </span> <a
- id="x4-340003.10"></a>Arc Path Construction</h4>
-<!--l. 491--><p class="noindent">Our next obstacle is to draw the arc for the angle. For this, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">arc</span></span></span> path construction operation is useful,
-which draws part of a circle or ellipse. This <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">arc</span></span></span> operation must be followed by a triple in rounded
-brackets, where the components of the triple are separated by colons. The first two components are
-angles, the last one is a radius. An example would be <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(10:80:10pt)</span></span></span>, which means &#8220;an arc from 10
-degrees to 80 degrees on a circle of radius 10pt.&#8221; Karl obviously needs an arc from 0<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup> to 30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>. The
-radius should be something relatively small, perhaps around one third of the circle&#8217;s radius. This gives:
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0:30:3mm)</span></span></span>.
-<!--l. 502--><p class="indent"> When one uses the arc path construction operation, the specified arc will be added with its starting point at the
-current position. So, we first have to &#8220;get there.&#8221;
-<!--l. 506--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-20-" ><colgroup id="TBL-20-1g"><col
-id="TBL-20-1"><col
-id="TBL-20-2"></colgroup><tr
- valign="baseline" id="TBL-20-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-20-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-21.svg" width="115.34384 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-20-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 516--><p class="indent"> Karl thinks this is really a bit small and he cannot continue unless he learns how to do scaling. For this, he can
-add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[scale=3]</span></span></span> option. He could add this option to each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> command, but that would be
-awkward. Instead, he adds it to the whole environment, which causes this option to apply to everything
-within.
-
-
-<!--l. 522--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-22.svg" width="342.96487 " height="342.96487 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-21-" ><colgroup id="TBL-21-1g"><col
-id="TBL-21-1"></colgroup><tr
- valign="baseline" id="TBL-21-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-21-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 532--><p class="indent"> As for circles, you can specify &#8220;two&#8221; radii in order to get an elliptical arc.
-<!--l. 535--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-22-" ><colgroup id="TBL-22-1g"><col
-id="TBL-22-1"><col
-id="TBL-22-2"></colgroup><tr
- valign="baseline" id="TBL-22-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-22-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-23.svg" width="134.31232 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-22-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:315:1.75cm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;1cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 540--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.11 </span> <a
- id="x4-350003.11"></a>Clipping a Path</h4>
-<!--l. 542--><p class="noindent">In order to save space in this manual, it would be nice to clip Karl&#8217;s graphics a bit so that we can focus on the
-&#8220;interesting&#8221; parts. Clipping is pretty easy in Ti<span
-class="cmti-10">k</span>Z. You can use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> command clip all subsequent
-drawing. It works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span>, only it does not draw anything, but uses the given path to clip everything
-subsequently.
-<!--l. 549--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-23-" ><colgroup id="TBL-23-1g"><col
-id="TBL-23-1"><col
-id="TBL-23-2"></colgroup><tr
- valign="baseline" id="TBL-23-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-23-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-24.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-23-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 560--><p class="indent"> You can also do both at the same time: Draw <span
-class="cmti-10">and </span>clip a path. For this, use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> command and add the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> option. (This is not the whole picture: You can also use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> command and add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span>
-option. Well, that is also not the whole picture: In reality, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> is just a shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw]</span></span></span>
-
-
-and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> is a shorthand for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[clip]</span></span></span> and you could also say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw,clip]</span></span></span>.) Here is an
-example:
-<!--l. 568--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-24-" ><colgroup id="TBL-24-1g"><col
-id="TBL-24-1"><col
-id="TBL-24-2"></colgroup><tr
- valign="baseline" id="TBL-24-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-24-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-25.svg" width="138.10738 " height="138.10738 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-24-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip[draw]</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.6cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 580--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.12 </span> <a
- id="x4-360003.12"></a>Parabola and Sine Path Construction</h4>
-<!--l. 582--><p class="noindent">Although Karl does not need them for his picture, he is pleased to learn that there are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parabola</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cos</span></span></span>
-path operations for adding parabolas and sine and cosine curves to the current path. For the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parabola</span></span></span> operation,
-the current point will lie on the parabola as well as the point given after the parabola operation. Consider the
-following example:
-<!--l. 589--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-25-" ><colgroup id="TBL-25-1g"><col
-id="TBL-25-1"><col
-id="TBL-25-2"></colgroup><tr
- valign="baseline" id="TBL-25-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-25-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-26.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-25-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola</span><span
-class="cmtt-8">&nbsp;(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 593--><p class="indent"> It is also possible to place the bend somewhere else:
-<!--l. 595--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-26-" ><colgroup id="TBL-26-1g"><col
-id="TBL-26-1"><col
-id="TBL-26-2"></colgroup><tr
- valign="baseline" id="TBL-26-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-26-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-27.svg" width="9.53328 " height="22.86656 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-26-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[x=1pt,y=1pt]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola</span><span
-class="cmtt-8">&nbsp;bend</span><span
-class="cmtt-8">&nbsp;(4,16)</span><span
-class="cmtt-8">&nbsp;(6,12);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 599--><p class="indent"> The operations <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cos</span></span></span> add a sine or cosine curve in the interval [0<span
-class="cmmi-10">,<img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2] such that the previous
-current point is at the start of the curve and the curve ends at the given end point. Here are two
-examples:
-<!--l. 603--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-27-" ><colgroup id="TBL-27-1g"><col
-id="TBL-27-1"><col
-id="TBL-27-2"></colgroup><tr
- valign="baseline" id="TBL-27-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-27-1-1"
-class="td11"> &nbsp;A sine <object data="pgfmanual-28.svg" width="10.54623 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> curve.&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-27-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">A</span><span
-class="cmtt-8">&nbsp;sine</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\draw[x=1ex,y=1ex]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(1.57,1);</span><span
-class="cmtt-8">&nbsp;curve.</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 607--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-28-" ><colgroup id="TBL-28-1g"><col
-id="TBL-28-1"><col
-id="TBL-28-2"></colgroup><tr
- valign="baseline" id="TBL-28-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-28-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-29.svg" width="37.58502 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-28-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[x=1.57ex,y=1ex]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(3,-1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(4,0)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(4,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 614--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.13 </span> <a
- id="x4-370003.13"></a>Filling and Drawing</h4>
-<!--l. 616--><p class="noindent">Returning to the picture, Karl now wants the angle to be &#8220;filled&#8221; with a very light green. For this he uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\fill</span></span></span>
-instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span>. Here is what Karl does:
-
-
-<!--l. 620--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-29-" ><colgroup id="TBL-29-1g"><col
-id="TBL-29-1"><col
-id="TBL-29-2"></colgroup><tr
- valign="baseline" id="TBL-29-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-29-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-30.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-29-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[green!20!white]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 631--><p class="indent"> The color <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">green!20!white</span></span></span> means 20% green and 80% white mixed together. Such color expression are possible
-since <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;uses Uwe Kern&#8217;s <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> package, see the documentation of that package for details on color
-expressions.
-<!--l. 636--><p class="indent"> What would have happened, if Karl had not &#8220;closed&#8221; the path using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--(0,0)</span></span></span> at the end? In this case, the path
-is closed automatically, so this could have been omitted. Indeed, it would even have been better to write the
-following, instead:
-<!--l. 640--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-30-" ><colgroup id="TBL-30-1g"><col
-id="TBL-30-1"></colgroup><tr
- valign="baseline" id="TBL-30-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-30-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[green!20!white]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 643--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--cycle</span></span></span> causes the current path to be closed (actually the current part of the current path) by smoothly
-joining the first and last point. To appreciate the difference, consider the following example:
-<!--l. 648--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-31-" ><colgroup id="TBL-31-1g"><col
-id="TBL-31-1"><col
-id="TBL-31-2"></colgroup><tr
- valign="baseline" id="TBL-31-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-31-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-31.svg" width="121.47717 " height="61.23857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-31-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[line</span><span
-class="cmtt-8">&nbsp;width=5pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;higher</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 656--><p class="indent"> You can also fill and draw a path at the same time using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\filldraw</span></span></span> command. This will first draw the path,
-then fill it. This may not seem too useful, but you can specify different colors to be used for filling and for stroking.
-These are specified as optional arguments like this:
-<!--l. 662--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-32-" ><colgroup id="TBL-32-1g"><col
-id="TBL-32-1"><col
-id="TBL-32-2"></colgroup><tr
- valign="baseline" id="TBL-32-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-32-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-32.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-32-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20!white,</span><span
-class="cmtt-8">&nbsp;draw=green!50!black]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 676--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.14 </span> <a
- id="x4-380003.14"></a>Shading</h4>
-<!--l. 678--><p class="noindent">Karl briefly considers the possibility of making the angle &#8220;more fancy&#8221; by <span
-class="cmti-10">shading </span>it. Instead of filling the with a
-uniform color, a smooth transition between different colors is used. For this, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shade</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shadedraw</span></span></span>, for shading
-and drawing at the same time, can be used:
-
-
-<!--l. 684--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-33-" ><colgroup id="TBL-33-1g"><col
-id="TBL-33-1"><col
-id="TBL-33-2"></colgroup><tr
- valign="baseline" id="TBL-33-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-33-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-33.svg" width="133.77895 " height="38.93684 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-33-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikz</span><span
-class="cmtt-8">&nbsp;\shade</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(3,0.5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 687--><p class="indent"> The default shading is a smooth transition from gray to white. To specify different colors, you can use
-options:
-<!--l. 690--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-34.svg" width="361.40002 " height="41.07018 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-34-" ><colgroup id="TBL-34-1g"><col
-id="TBL-34-1"></colgroup><tr
- valign="baseline" id="TBL-34-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-34-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[rounded</span><span
-class="cmtt-8">&nbsp;corners,ultra</span><span
-class="cmtt-8">&nbsp;thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[top</span><span
-class="cmtt-8">&nbsp;color=yellow,bottom</span><span
-class="cmtt-8">&nbsp;color=black]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[left</span><span
-class="cmtt-8">&nbsp;color=yellow,right</span><span
-class="cmtt-8">&nbsp;color=black]</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shadedraw[inner</span><span
-class="cmtt-8">&nbsp;color=yellow,outer</span><span
-class="cmtt-8">&nbsp;color=black,draw=yellow]</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade[ball</span><span
-class="cmtt-8">&nbsp;color=green]</span><span
-class="cmtt-8">&nbsp;(9,.5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 699--><p class="indent"> For Karl, the following might be appropriate:
-<!--l. 701--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-35-" ><colgroup id="TBL-35-1g"><col
-id="TBL-35-1"><col
-id="TBL-35-2"></colgroup><tr
- valign="baseline" id="TBL-35-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-35-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-35.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-35-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shadedraw[left</span><span
-class="cmtt-8">&nbsp;color=gray,right</span><span
-class="cmtt-8">&nbsp;color=green,</span><span
-class="cmtt-8">&nbsp;draw=green!50!black]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 713--><p class="indent"> However, he wisely decides that shadings usually only distract without adding anything to the
-picture.
-<!--l. 717--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.15 </span> <a
- id="x4-390003.15"></a>Specifying Coordinates</h4>
-<!--l. 719--><p class="noindent">Karl now wants to add the sine and cosine lines. He knows already that he can use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option to set the
-lines&#8217;s colors. So, what is the best way to specify the coordinates?
-<!--l. 723--><p class="indent"> There are different ways of specifying coordinates. The easiest way is to say something like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(10pt,2cm)</span></span></span>. This
-means 10pt in <span
-class="cmmi-10">x</span>-direction and 2cm in <span
-class="cmmi-10">y</span>-directions. Alternatively, you can also leave out the units as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,2)</span></span></span>, which
-means &#8220;one times the current <span
-class="cmmi-10">x</span>-vector plus twice the current <span
-class="cmmi-10">y</span>-vector.&#8221; These vectors default to 1cm in the
-<span
-class="cmmi-10">x</span>-direction and 1cm in the <span
-class="cmmi-10">y</span>-direction, respectively.
-<!--l. 730--><p class="indent"> In order to specify points in polar coordinates, use the notation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span>, which means 1cm in direction 30
-degree. This is obviously quite useful to &#8220;get to the point (cos30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup><span
-class="cmmi-10">,</span>sin30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>) on the circle.&#8221;
-<!--l. 735--><p class="indent"> You can add a single <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span> sign in front of a coordinate or two of them as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+(1cm,0cm)</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++(0cm,2cm)</span></span></span>. Such
-coordinates are interpreted differently: The first form means &#8220;1cm upwards from the previous specified position&#8221;
-and the second means &#8220;2cm to the right of the previous specified position, making this the new specified position.&#8221;
-For example, we can draw the sine line as follows:
-
-
-<!--l. 742--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-36-" ><colgroup id="TBL-36-1g"><col
-id="TBL-36-1"><col
-id="TBL-36-2"></colgroup><tr
- valign="baseline" id="TBL-36-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-36-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-36.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-36-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,-0.5);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 755--><p class="indent"> Karl used the fact sin30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup> = 1<span
-class="cmmi-10">/</span>2. However, he very much doubts that his students know this, so it
-would be nice to have a way of specifying &#8220;the point straight down from <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span> that lies on the
-<span
-class="cmmi-10">x</span>-axis.&#8221; This is, indeed, possible using a special syntax: Karl can write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm</span><span
-class="cmtt-10">&nbsp;|-</span><span
-class="cmtt-10">&nbsp;0,0)</span></span></span>. In general, the
-meaning of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">p</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;|-</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">q</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> is &#8220;the intersection of a vertical line through <span
-class="cmmi-10">p </span>and a horizontal line through
-<span
-class="cmmi-10">q</span>.&#8221;
-<!--l. 763--><p class="indent"> Next, let us draw the cosine line. One way would be to say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm</span><span
-class="cmtt-10">&nbsp;|-</span><span
-class="cmtt-10">&nbsp;0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(0,0)</span></span></span>. Another way is the
-following: we &#8220;continue&#8221; from where the sine ends:
-<!--l. 767--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-37-" ><colgroup id="TBL-37-1g"><col
-id="TBL-37-1"><col
-id="TBL-37-2"></colgroup><tr
- valign="baseline" id="TBL-37-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-37-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-37.svg" width="137.57399 " height="109.11963 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-37-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,0.75);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,-0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[blue,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;++(0,-0.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 781--><p class="indent"> Note the there is no <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+(0,-0.5)</span></span></span>. In detail, this path is interpreted as follows: &#8220;First,
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span> tells me to move by pen to (cos30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup><span
-class="cmmi-10">,</span>1<span
-class="cmmi-10">/</span>2). Next, there comes another coordinate specification, so I
-move my pen there without drawing anything. This new point is half a unit down from the last position, thus it is at
-(cos30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup><span
-class="cmmi-10">,</span>0). Finally, I move the pen to the origin, but this time drawing something (because of the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>).&#8221;
-<!--l. 789--><p class="indent"> To appreciate the difference between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++</span></span></span> consider the following example:
-<!--l. 792--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-38-" ><colgroup id="TBL-38-1g"><col
-id="TBL-38-1"><col
-id="TBL-38-2"></colgroup><tr
- valign="baseline" id="TBL-38-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-38-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-38.svg" width="96.37543 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-38-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\def\rectanglepath{--</span><span
-class="cmtt-8">&nbsp;++(1cm,0cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(0cm,1cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-1cm,0cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;\rectanglepath;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;\rectanglepath;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 800--><p class="indent"> By comparison, when using a single <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span>, the coordinates are different:
-
-
-<!--l. 802--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-39-" ><colgroup id="TBL-39-1g"><col
-id="TBL-39-1"><col
-id="TBL-39-2"></colgroup><tr
- valign="baseline" id="TBL-39-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-39-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-39.svg" width="96.37543 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-39-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\def\rectanglepath{--</span><span
-class="cmtt-8">&nbsp;+(1cm,0cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1cm,1cm)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0cm,1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;\rectanglepath;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;\rectanglepath;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 811--><p class="indent"> Naturally, all of this could have been written more clearly and more economically like this (either with a single of
-a double <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span>):
-<!--l. 813--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-40-" ><colgroup id="TBL-40-1g"><col
-id="TBL-40-1"><col
-id="TBL-40-2"></colgroup><tr
- valign="baseline" id="TBL-40-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-40-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-40.svg" width="96.37543 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-40-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 819--><p class="indent"> Karl is left with the line for tan<span
-class="cmmi-10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></span>, which seems difficult to specify using transformations and polar
-coordinates. For this he needs another way of specifying coordinates: Karl can specify intersections of lines as
-coordinates. The line for tan<span
-class="cmmi-10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /> </span>starts at (1<span
-class="cmmi-10">,</span>0) and goes upward to a point that is at the intersection of a
-line going &#8220;up&#8221; and a line going from the origin through <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span>. The syntax for this point is the
-following:
-<!--l. 827--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-41-" ><colgroup id="TBL-41-1g"><col
-id="TBL-41-1"></colgroup><tr
- valign="baseline" id="TBL-41-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-41-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\draw[very</span><span
-class="cmtt-8">&nbsp;thick,orange]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(intersection</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;1,0--1,1</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;0,0--30:1cm);</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 831--><p class="indent"> In the following, two final examples of how to use relative positioning are presented. Note that
-the transformation options, which are explained later, are often more useful for shifting than relative
-positioning.
-<!--l. 836--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-42-" ><colgroup id="TBL-42-1g"><col
-id="TBL-42-1"><col
-id="TBL-42-2"></colgroup><tr
- valign="baseline" id="TBL-42-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-42-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-41.svg" width="96.37543 " height="42.35689 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-42-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=0.5]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(90:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(90:360:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(60:5pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(30:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(30:90:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;+(0:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(72:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(144:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(216:1cm)</span><span
-class="cmtt-8">&nbsp;--</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;+(288:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 848--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.16 </span> <a
- id="x4-400003.16"></a>Adding Arrow Tips</h4>
-<!--l. 850--><p class="noindent">Karl now wants to add the little arrow tips at the end of the axes. He has noticed that in many plots, even in
-scientific journals, these arrow tips seem to missing, presumably because the generating programs cannot produce
-them. Karl thinks arrow tips belong at the end of axes. His son agrees. His students do not care about arrow
-tips.
-<!--l. 856--><p class="indent"> It turns out that adding arrow tips is pretty easy: Karl adds the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-&gt;</span></span></span> to the drawing commands for the
-axes:
-
-
-<!--l. 859--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-43-" ><colgroup id="TBL-43-1g"><col
-id="TBL-43-1"><col
-id="TBL-43-2"></colgroup><tr
- valign="baseline" id="TBL-43-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-43-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-42.svg" width="137.57399 " height="195.61504 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-43-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,1.51);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,-0.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[blue,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;++(0,-0.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[orange,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(intersection</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;1,0--1,1</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;0,0--30:1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 874--><p class="indent"> If Karl had used the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;-</span></span></span> instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-&gt;</span></span></span>, arrow tips would have been put at the beginning of the path. The
-option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&lt;-&gt;</span></span></span> puts arrow tips at both ends of the path.
-<!--l. 878--><p class="indent"> There are certain restrictions to the kind of paths to which arrow tips can be added. As a rule of thumb, you can
-add arrow tips only to a single open &#8220;line.&#8221; For example, you should not try to add tips to, say, a rectangle or a
-circle. (You can try, but no guarantees as to what will happen now or in future versions.) However,
-you can add arrow tips to curved paths and to paths that have several segments, as in the following
-examples:
-<!--l. 886--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-44-" ><colgroup id="TBL-44-1g"><col
-id="TBL-44-1"><col
-id="TBL-44-2"></colgroup><tr
- valign="baseline" id="TBL-44-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-44-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-43.svg" width="96.37546 " height="14.8666 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-44-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[&lt;-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:30:10pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[&lt;-&gt;]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5cm,10pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2cm,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2.5cm,10pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 893--><p class="indent"> Karl has a more detailed look at the arrow that Ti<span
-class="cmti-10">k</span>Z&nbsp;puts at the end. It looks like this when he zooms it: <object data="pgfmanual-44.svg" width="14.33328 " height="6.74069 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.
-The shape seems vaguely familiar and, indeed, this is exactly the end of <span class="TEX">T<span
-class="E">E</span>X</span>&#8217;s standard arrow used in something
-like <span
-class="cmmi-10">f</span> : <span
-class="cmmi-10">A </span><span
-class="cmsy-10"><img
-src="cmsy10-21.png" alt="--&gt;" class="10x-x-21" /> </span><span
-class="cmmi-10">B</span>.
-<!--l. 901--><p class="indent"> Karl likes the arrow, especially since it is not &#8220;as thick&#8221; as the arrows offered by many other packages.
-However, he expects that, sometimes, he might need to use some other kinds of arrow. To do so, Karl
-can say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">right arrow tip kind</span><span
-class="cmsy-10">&gt;</span>, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">right arrow tip kind</span><span
-class="cmsy-10">&gt; </span>is a special arrow tip specification. For
-example, if Karl says <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&gt;=stealth</span></span></span>, then he tells Ti<span
-class="cmti-10">k</span>Z&nbsp;that he would like &#8220;stealth-fighter-like&#8221; arrow
-tips:
-<!--l. 909--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-45-" ><colgroup id="TBL-45-1g"><col
-id="TBL-45-1"><col
-id="TBL-45-2"></colgroup><tr
- valign="baseline" id="TBL-45-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-45-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-45.svg" width="96.90878 " height="15.93324 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-45-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[&gt;=stealth]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:30:10pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[&lt;&lt;-,very</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5cm,10pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2cm,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2.5cm,10pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 916--><p class="indent"> Karl wonders whether such a military name for the arrow type is really necessary. He is not really mollified when
-his son tells him that Microsoft&#8217;s PowerPoint uses the same name. He decides to have his students discuss this at
-some point.
-<!--l. 921--><p class="indent"> In addition to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">stealth</span></span></span> there are several other predefined arrow tip kinds Karl can choose from, see Section&nbsp;<a
-href="pgfmanualse14.html#x15-16000014.1">14.1<!--tex4ht:ref: section-library-arrows --></a>.
-Furthermore, he can define arrows types himself, if he needs new ones.
-<!--l. 929--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.17 </span> <a
- id="x4-410003.17"></a>Scoping</h4>
-<!--l. 931--><p class="noindent">Karl saw already that there are numerous graphic options that affect how paths are rendered. Often, he would like
-to apply certain options to a whole set of graphic commands. For example, Karl might wish to draw three paths
-
-
-using a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thick</span></span></span> pen, but would like everything else to be drawn &#8220;normally.&#8221;
-<!--l. 937--><p class="indent"> If Karl wishes to set a certain graphic option for the whole picture, he can simply pass this option to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span></span></span>
-command or to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment (Gerda would pass the options to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzpicture</span></span></span>).
-However, if Karl wants to apply graphic options to a local group, he put these commands inside a
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environment (Gerda uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\scope</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\endscope</span></span></span>). This environment takes graphic options as
-an optional argument and these options apply to everything inside the scope, but not to anything
-outside.
-<!--l. 946--><p class="indent"> Here is an example:
-<!--l. 948--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-46-" ><colgroup id="TBL-46-1g"><col
-id="TBL-46-1"><col
-id="TBL-46-2"></colgroup><tr
- valign="baseline" id="TBL-46-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-46-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-46.svg" width="116.94386 " height="41.07018 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-46-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[ultra</span><span
-class="cmtt-8">&nbsp;thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[thin]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 959--><p class="indent"> Scoping has another interesting effect: Any changes to the clipping area are local to the scope. Thus, if you say
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> somewhere inside a scope, the effect of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> command ends at the end of the scope. This is useful since
-there is no other way of &#8220;enlarging&#8221; the clipping area.
-<!--l. 965--><p class="indent"> Karl has also already seen that giving options to commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> apply only to that command. In turns
-out that the situation is slightly more complex. First, options to a command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> are not really
-options to the command, but they are &#8220;path options&#8221; and can be given anywhere on the path. So,
-instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw[thin]</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(1,0);</span></span></span> one can also write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;[thin]</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(1,0);</span></span></span> or
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(1,0)</span><span
-class="cmtt-10">&nbsp;[thin];</span></span></span>; all of these have the same effect. This might seem strange since in the last case, it
-would appear that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thin</span></span></span> should take effect only &#8220;after&#8221; the line from (0<span
-class="cmmi-10">,</span>0) to (1<span
-class="cmmi-10">,</span>0) has been draw. However,
-most graphic options only apply to the whole path. Indeed, if you say both <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">thick</span></span></span> on the same path, the
-last option given will &#8220;win.&#8221;
-<!--l. 979--><p class="indent"> When reading the above, Karl notices that only &#8220;most&#8221; graphic options apply to the whole path. Indeed, all
-transformation options do <span
-class="cmti-10">not </span>apply to the whole path, but only to &#8220;everything following them on the path.&#8221; We
-will have a more detailed look at this in a moment. Nevertheless, all options given during a path construction apply
-only to this path.
-<!--l. 988--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.18 </span> <a
- id="x4-420003.18"></a>Transformations</h4>
-<!--l. 990--><p class="noindent">When you specify a coordinate like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1cm,1cm)</span></span></span>, where is that coordinate placed on the page? To determine the
-position, Ti<span
-class="cmti-10">k</span>Z, <span class="TEX">T<span
-class="E">E</span>X</span>, and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>or PostScript all apply certain transformations to the given coordinate in order to
-determine the finally position on the page.
-<!--l. 996--><p class="indent"> Ti<span
-class="cmti-10">k</span>Z&nbsp;provides numerous options that allow you to transform coordinates in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s private coordinate system. For
-example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xshift</span></span></span> option allows you to shift all subsequent points by a certain amount:
-<!--l. 1001--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-47-" ><colgroup id="TBL-47-1g"><col
-id="TBL-47-1"><col
-id="TBL-47-2"></colgroup><tr
- valign="baseline" id="TBL-47-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-47-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-47.svg" width="4.19997 " height="20.50172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-47-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0.5)</span><span
-class="cmtt-8">&nbsp;[xshift=2pt]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0.5);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1005--><p class="indent"> It is important to note that you can change transformation &#8220;in the middle of a path,&#8221; a feature that is
-not supported by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;or PostScript. The reason is that <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;keeps track of its own transformation
-matrix.
-<!--l. 1010--><p class="indent"> Here is a more complicated example:
-<!--l. 1011--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-48-" ><colgroup id="TBL-48-1g"><col
-id="TBL-48-1"><col
-id="TBL-48-2"></colgroup><tr
- valign="baseline" id="TBL-48-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-48-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-48.svg" width="56.17422 " height="56.17422 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-48-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[even</span><span
-class="cmtt-8">&nbsp;odd</span><span
-class="cmtt-8">&nbsp;rule,rounded</span><span
-class="cmtt-8">&nbsp;corners=2pt,x=10pt,y=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[xshift=5pt,yshift=5pt]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[rotate=30]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(-1,-1)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 1019--><p class="indent"> The most useful transformations are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xshift</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">yshift</span></span></span> for shifting, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shift</span></span></span> for shifting to a given point as in
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shift={(1,0)}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shift={+(0,0)}</span></span></span> (the braces are necessary so that <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;does not mistake the comma for
-separating options), <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rotate</span></span></span> for rotating by a certain angle (there is also a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rotate</span><span
-class="cmtt-10">&nbsp;around</span></span></span> for rotating around a
-given point), <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">scale</span></span></span> for scaling by a certain factor, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xscale</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">yscale</span></span></span> for scaling only in the <span
-class="cmmi-10">x</span>- or <span
-class="cmmi-10">y</span>-direction
-(<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xscale=-1</span></span></span> is a flip), and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xslant</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">yslant</span></span></span> for slanting. If these transformation and those that I have not
-mentioned are not sufficient, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cm</span></span></span> option allows you to apply an arbitrary transformation matrix. Karl&#8217;s students,
-by the way, do not know what a transformation matrix is.
-<!--l. 1034--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.19 </span> <a
- id="x4-430003.19"></a>Repeating Things: For-Loops</h4>
-<!--l. 1036--><p class="noindent">Karl&#8217;s next aim is to add little ticks on the axes at positions <span
-class="cmsy-10">-</span>1, <span
-class="cmsy-10">-</span>1<span
-class="cmmi-10">/</span>2, 1<span
-class="cmmi-10">/</span>2, and 1. For this, it would be nice to
-use some kind of &#8220;loop,&#8221; especially since he wishes to do the same thing at each of these positions.
-There are different packages for doing this. <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;has its own internal command for this, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pstricks</span></span></span>
-comes along with the powerful <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\mulitdo</span></span></span> command. All of these can be used together with <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and
-Ti<span
-class="cmti-10">k</span>Z, so if you are familiar with them, feel free to use them. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;introduces yet another command,
-called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span>, which I introduced since I could never remember the syntax of the other packages.
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> is defined in the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgffor</span></span></span> and can be used independently of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. Ti<span
-class="cmti-10">k</span>Z&nbsp;includes it
-automatically.
-<!--l. 1048--><p class="indent"> In its basic form, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> command is easy to use:
-<!--l. 1049--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-49-" ><colgroup id="TBL-49-1g"><col
-id="TBL-49-1"><col
-id="TBL-49-2"></colgroup><tr
- valign="baseline" id="TBL-49-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-49-1-1"
-class="td11"> &nbsp;<span
-class="cmmi-10">x </span>= 1, <span
-class="cmmi-10">x </span>= 2, <span
-class="cmmi-10">x </span>= 3, &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-49-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br>
-<span
-class="cmtt-8">\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,3}</span><span
-class="cmtt-8">&nbsp;{$x</span><span
-class="cmtt-8">&nbsp;=\x$,</span><span
-class="cmtt-8">&nbsp;}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 1053--><p class="indent"> The general syntax is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variable</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;in</span><span
-class="cmtt-10">&nbsp;{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">list of values</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span>. Inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span>, the
-<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">variable</span><span
-class="cmsy-10">&gt; </span>will be assigned to the different values. If the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>do not start with a brace, everything up to the
-next semicolon is used as <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span>.
-<!--l. 1059--><p class="indent"> For Karl and the ticks on the axes, he could use the following code:
-<!--l. 1061--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-50-" ><colgroup id="TBL-50-1g"><col
-id="TBL-50-1"><col
-id="TBL-50-2"></colgroup><tr
- valign="baseline" id="TBL-50-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-50-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-49.svg" width="137.57399 " height="195.61504 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-50-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.1,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1.1,1.51);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1cm,-0.5cm,1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x,-1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x,1pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1cm,-0.5cm,0.5cm,1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1pt,\y)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1pt,\y);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1078--><p class="indent"> As a matter of fact, there are many different ways of creating the ticks. For example, Karl could have put the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;...;</span></span></span> inside curly braces. He could also have used, say,
-<!--l. 1081--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-51-" ><colgroup id="TBL-51-1g"><col
-id="TBL-51-1"></colgroup><tr
- valign="baseline" id="TBL-51-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-51-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,-0.5,1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=\x</span><span
-class="cmtt-8">&nbsp;cm]</span><span
-class="cmtt-8">&nbsp;(0pt,-1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,1pt);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1086--><p class="indent"> Karl is curious what would happen in a more complicated situation where there are, say, 20 ticks. It seems
-bothersome to explicitly mention all these numbers in the set for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span>. Indeed, it is possible to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span> inside
-
-
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement to iterate over a large number of values (which must, however, be dimensionless real
-numbers) as in the following example:
-<!--l. 1093--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-50.svg" width="373.31393 " height="31.88232 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-52-" ><colgroup id="TBL-52-1g"><col
-id="TBL-52-1"></colgroup><tr
- valign="baseline" id="TBL-52-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-52-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,10}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(0.4cm);</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 1098--><p class="indent"> If you provide <span
-class="cmti-10">two </span>numbers before the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">...</span></span></span>, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement will use their difference for the
-stepping:
-<!--l. 1101--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-53-" ><colgroup id="TBL-53-1g"><col
-id="TBL-53-1"><col
-id="TBL-53-2"></colgroup><tr
- valign="baseline" id="TBL-53-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-53-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-51.svg" width="77.40701 " height="4.19997 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-53-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,-0.5,...,1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,-1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,1pt);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1106--><p class="indent"> We can also nest loops to create interesting effects:
-<!--l. 1108--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-52.svg" width="456.77545 " height="191.21753 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-54-" ><colgroup id="TBL-54-1g"><col
-id="TBL-54-1"></colgroup><tr
- valign="baseline" id="TBL-54-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-54-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,2,...,5,7,8,...,12}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{1,...,5}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;+(-.5,-.5)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;++(.5,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x,\y)</span><span
-class="cmtt-8">&nbsp;node{\x,\y};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 1119--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement can do even trickier stuff, but the above gives the idea.
-<!--l. 1125--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.20 </span> <a
- id="x4-440003.20"></a>Adding Text</h4>
-<!--l. 1127--><p class="noindent">Karl is, by now, quite satisfied with the picture. However, the most important parts, namely the labels, are still
-missing!
-<!--l. 1130--><p class="indent"> Ti<span
-class="cmti-10">k</span>Z&nbsp;offers an easy-to-use and powerful system for adding text and, more generally, complex shapes to a
-picture at specific positions. The basic idea is the following: When Ti<span
-class="cmti-10">k</span>Z&nbsp;is constructing a path and
-encounters the keyword <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> in the middle of a path, it reads a <span
-class="cmti-10">node specification</span>. The keyword <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> is
-typically followed by some options and then some text between curly braces. This text is put inside a
-normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;box (if the node specification directly follows a coordinate, which is usually the case,
-Ti<span
-class="cmti-10">k</span>Z&nbsp;is able to perform some magic so that it is even possible to use verbatim text inside the boxes)
-and then placed at the current position, that is, at the last specified position (possibly shifted a bit,
-according to the given options). However, all nodes are drawn only after the path has been completely
-drawn/filled/shaded/clipped/whatever.
-<!--l. 1144--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-55-" ><colgroup id="TBL-55-1g"><col
-id="TBL-55-1"><col
-id="TBL-55-2"></colgroup><tr
- valign="baseline" id="TBL-55-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-55-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-53.svg" width="137.2315 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-55-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br>
-<span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0.5,0.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;[fill=examplefill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{Text</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;\verb!node</span><span
-class="cmtt-8">&nbsp;1!}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,1.5)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{Text</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;\verb!node</span><span
-class="cmtt-8">&nbsp;2!};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 1153--><p class="indent"> Obviously, Karl would not only like to place nodes <span
-class="cmti-10">on </span>the last specified position, but also to the left or the
-right of these positions. For this, every node object that you put in your picture is equipped with
-several <span
-class="cmti-10">anchors</span>. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span> anchor is in the middle at the upper end of the shape, the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span> anchor is at the bottom and the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span> anchor is in the upper right corner. When you
-given the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=north</span></span></span>, the text will be placed such that this northern anchor will lie on the
-current position and the text is, thus, below the current position. Karl uses this to draw the ticks as
-follows:
-<!--l. 1164--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-56-" ><colgroup id="TBL-56-1g"><col
-id="TBL-56-1"><col
-id="TBL-56-2"></colgroup><tr
- valign="baseline" id="TBL-56-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-56-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-54.svg" width="137.57393 " height="195.61504 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-56-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.6,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(0.6,1.51);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,-0.5,1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,-1pt)</span><span
-class="cmtt-8">&nbsp;node[anchor=north]</span><span
-class="cmtt-8">&nbsp;{$\x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,-0.5,0.5,1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;node[anchor=east]</span><span
-class="cmtt-8">&nbsp;{$\y$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1180--><p class="indent"> This is quite nice, already. Using these anchors, Karl can now add most of the other text elements. However,
-Karl thinks that, though &#8220;correct,&#8221; it is quite counter-intuitive that in order to place something <span
-class="cmti-10">below </span>a given point,
-he has to use the <span
-class="cmti-10">north </span>anchor. For this reason, there is an option called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">below</span></span></span>, which does the same as
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=north</span></span></span>. Similarly, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">above</span><span
-class="cmtt-10">&nbsp;right</span></span></span> does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">anchor=south</span><span
-class="cmtt-10">&nbsp;east</span></span></span>. In addition, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">below</span></span></span> takes an
-optional dimension argument. If given, the shape will additionally be shifted downwards by the given
-amount. So, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">below=1pt</span></span></span> can be used to put a text label below some point and, additionally shift it 1pt
-downwards.
-<!--l. 1192--><p class="indent"> Karl is not quite satisfied with the ticks. He would like to have 1<span
-class="cmmi-10">/</span>2 or <img
-src="pgfmanual9x.gif" alt="12" class="frac" align="middle"> shown instead of 0<span
-class="cmmi-10">.</span>5, partly
-to show off the nice capabilities of <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z, partly because for positions like 1<span
-class="cmmi-10">/</span>3 or <span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" /> </span>it is
-certainly very much preferable to have the &#8220;mathematical&#8221; tick there instead of just the &#8220;numeric&#8221;
-tick. His students, on the other hand, prefer 0<span
-class="cmmi-10">.</span>5 over 1<span
-class="cmmi-10">/</span>2 since they are not too fond of fractions in
-general.
-<!--l. 1200--><p class="indent"> Karl now faces a problem: For the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> statement, the position <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\x</span></span></span> should still be given as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0.5</span></span></span> since
-Ti<span
-class="cmti-10">k</span>Z&nbsp;will not know where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\frac{1}{2}</span></span></span> is supposed to be. On the other hand, the typeset text should really be
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\frac{1}{2}</span></span></span>. To solve this problem, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> offers a special syntax: Instead of having one variable <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\x</span></span></span>, Karl can
-specify two (or even more) variables separated by a slash as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\x</span><span
-class="cmtt-10">&nbsp;/</span><span
-class="cmtt-10">&nbsp;\xtext</span></span></span>. Then, the elements in the set over
-which <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\foreach</span></span></span> iterates must also be of the form <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second</span><span
-class="cmsy-10">&gt;</span>. In each iteration, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\x</span></span></span> will be set to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt; </span>and
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\xtext</span></span></span> will be set to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second</span><span
-class="cmsy-10">&gt;</span>. If no <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">second</span><span
-class="cmsy-10">&gt; </span>is given, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">first</span><span
-class="cmsy-10">&gt; </span>will be used again. So, here is the new code for the
-ticks:
-
-
-<!--l. 1212--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-57-" ><colgroup id="TBL-57-1g"><col
-id="TBL-57-1"><col
-id="TBL-57-2"></colgroup><tr
- valign="baseline" id="TBL-57-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-57-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-55.svg" width="137.57393 " height="195.61504 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-57-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-0.6,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(0.6,1.51);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0);</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x/\xtext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-0.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,-1pt)</span><span
-class="cmtt-8">&nbsp;node[anchor=north]</span><span
-class="cmtt-8">&nbsp;{$\xtext$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y/\ytext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-0.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;0.5/\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;node[anchor=east]</span><span
-class="cmtt-8">&nbsp;{$\ytext$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1228--><p class="indent"> Karl is quite pleased with the result, but his son points out that this is still not perfectly satisfactory: The grid
-and the circle interfere with the numbers and decrease their legibility. Karl is not very concerned by this (his
-students do not even notice), but his son insists that there is an easy solution: Karl can add the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[fill=white]</span></span></span>
-option to fill out the background of the text shape with a white color.
-<!--l. 1236--><p class="indent"> The next thing Karl wants to do is to add the labels like sin<span
-class="cmmi-10"><img
-src="cmmi10-b.png" alt="a" class="10x-x-b" /></span>. For this, he would like to place a label &#8220;in the
-middle of line.&#8221; To do so, instead of specifying the label <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span><span
-class="cmtt-10">&nbsp;{$\sin\alpha$}</span></span></span> directly after one of the endpoints of
-the line (which would place the label at that endpoint), Karl can give the label directly after the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>,
-before the coordinate. By default, this places the label in the middle of the line, but the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pos=</span></span></span> options
-can be used to modify this. Also, options like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">near</span><span
-class="cmtt-10">&nbsp;start</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">near</span><span
-class="cmtt-10">&nbsp;end</span></span></span> can be used to modify this
-position:
-<!--l. 1248--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-56.svg" width="456.24216 " height="114.81047 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-58-" ><colgroup id="TBL-58-1g"><col
-id="TBL-58-1"></colgroup><tr
- valign="baseline" id="TBL-58-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-58-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\clip</span><span
-class="cmtt-8">&nbsp;(-2,-0.2)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,0.8);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[step=.5cm,gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=green!50!black]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0mm)</span><span
-class="cmtt-8">&nbsp;arc</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0:30:3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(x</span><span
-class="cmtt-8">&nbsp;axis);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(y</span><span
-class="cmtt-8">&nbsp;axis);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick,red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[left=1pt,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\sin</span><span
-class="cmtt-8">&nbsp;\alpha$}</span><span
-class="cmtt-8">&nbsp;(30:1cm</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;x</span><span
-class="cmtt-8">&nbsp;axis);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick,blue]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(30:1cm</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;x</span><span
-class="cmtt-8">&nbsp;axis)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[below=2pt,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\cos</span><span
-class="cmtt-8">&nbsp;\alpha$}</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thick,orange]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;[right=1pt,fill=white]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{$\displaystyle</span><span
-class="cmtt-8">&nbsp;\tan</span><span
-class="cmtt-8">&nbsp;\alpha</span><span
-class="cmtt-8">&nbsp;\color{black}=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\frac{{\color{red}\sin</span><span
-class="cmtt-8">&nbsp;\alpha}}{\color{blue}\cos</span><span
-class="cmtt-8">&nbsp;\alpha}$}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(intersection</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;0,0--30:1cm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;1,0--1,1)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(t);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(t);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x/\xtext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-0.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(\x</span><span
-class="cmtt-8">&nbsp;cm,-1pt)</span><span
-class="cmtt-8">&nbsp;node[anchor=north,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\xtext$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y/\ytext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-0.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;0.5/\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-1pt,\y</span><span
-class="cmtt-8">&nbsp;cm)</span><span
-class="cmtt-8">&nbsp;node[anchor=east,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\ytext$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 1276--><p class="indent"> You can also position labels on curves and, by adding the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sloped</span></span></span> option, have them rotated such that they
-match the line&#8217;s slope. Here is an example:
-
-
-<!--l. 1280--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-57.svg" width="456.77548 " height="61.69574 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-59-" ><colgroup id="TBL-59-1g"><col
-id="TBL-59-1"></colgroup><tr
- valign="baseline" id="TBL-59-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-59-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(6,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(9,1)</span><span
-class="cmtt-8">&nbsp;..</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[near</span><span
-class="cmtt-8">&nbsp;start,sloped,above]</span><span
-class="cmtt-8">&nbsp;{near</span><span
-class="cmtt-8">&nbsp;start}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{midway}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;end,sloped,below]</span><span
-class="cmtt-8">&nbsp;{very</span><span
-class="cmtt-8">&nbsp;near</span><span
-class="cmtt-8">&nbsp;end}</span><span
-class="cmtt-8">&nbsp;(12,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 1289--><p class="indent"> It remains to draw the explanatory text at the right of the picture. The main difficulty here lies in limiting the
-width of the text &#8220;label,&#8221; which is quite long, so that line breaking is used. Fortunately, Karl can use the option
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span><span
-class="cmtt-10">&nbsp;width=6cm</span></span></span> to get the desired effect. So, here is the full code:
-<!--l. 1295--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-60-" ><colgroup id="TBL-60-1g"><col
-id="TBL-60-1"></colgroup><tr
- valign="baseline" id="TBL-60-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-60-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[scale=3,cap=round]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Local</span><span
-class="cmsltt-10x-x-80">&nbsp;definitions</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\def\costhirty{0.8660256}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Colors</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorlet{anglecolor}{green!50!black}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorlet{sincolor}{red}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorlet{tancolor}{orange!80!black}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\colorlet{coscolor}{blue}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Styles</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{axes}=[]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{important</span><span
-class="cmtt-8">&nbsp;line}=[very</span><span
-class="cmtt-8">&nbsp;thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{information</span><span
-class="cmtt-8">&nbsp;text}=[rounded</span><span
-class="cmtt-8">&nbsp;corners,fill=red!10,inner</span><span
-class="cmtt-8">&nbsp;sep=1ex]</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;The</span><span
-class="cmsltt-10x-x-80">&nbsp;graphic</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines,step=0.5cm]</span><span
-class="cmtt-8">&nbsp;(-1.4,-1.4)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1.4,1.4);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[style=axes]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-1.5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.5,0)</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$x$}</span><span
-class="cmtt-8">&nbsp;coordinate(x</span><span
-class="cmtt-8">&nbsp;axis);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1.5)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$y$}</span><span
-class="cmtt-8">&nbsp;coordinate(y</span><span
-class="cmtt-8">&nbsp;axis);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\x/\xtext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=\x</span><span
-class="cmtt-8">&nbsp;cm]</span><span
-class="cmtt-8">&nbsp;(0pt,1pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,-1pt)</span><span
-class="cmtt-8">&nbsp;node[below,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\xtext$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\y/\ytext</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-1,</span><span
-class="cmtt-8">&nbsp;-.5/-\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;.5/\frac{1}{2},</span><span
-class="cmtt-8">&nbsp;1}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[yshift=\y</span><span
-class="cmtt-8">&nbsp;cm]</span><span
-class="cmtt-8">&nbsp;(1pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(-1pt,0pt)</span><span
-class="cmtt-8">&nbsp;node[left,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\ytext$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=green!20,draw=anglecolor]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3mm,0pt)</span><span
-class="cmtt-8">&nbsp;arc(0:30:3mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(15:2mm)</span><span
-class="cmtt-8">&nbsp;node[anglecolor]</span><span
-class="cmtt-8">&nbsp;{$\alpha$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=important</span><span
-class="cmtt-8">&nbsp;line,sincolor]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[left=1pt,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\sin</span><span
-class="cmtt-8">&nbsp;\alpha$}</span><span
-class="cmtt-8">&nbsp;(30:1cm</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;x</span><span
-class="cmtt-8">&nbsp;axis);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=important</span><span
-class="cmtt-8">&nbsp;line,coscolor]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(30:1cm</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;x</span><span
-class="cmtt-8">&nbsp;axis)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[below=2pt,fill=white]</span><span
-class="cmtt-8">&nbsp;{$\cos</span><span
-class="cmtt-8">&nbsp;\alpha$}</span><span
-class="cmtt-8">&nbsp;(0,0);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=important</span><span
-class="cmtt-8">&nbsp;line,tancolor]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;node[right=1pt,fill=white]</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;$\displaystyle</span><span
-class="cmtt-8">&nbsp;\tan</span><span
-class="cmtt-8">&nbsp;\alpha</span><span
-class="cmtt-8">&nbsp;\color{black}=</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\frac{{\color{sincolor}\sin</span><span
-class="cmtt-8">&nbsp;\alpha}}{\color{coscolor}\cos</span><span
-class="cmtt-8">&nbsp;\alpha}$}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(intersection</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;0,0--30:1cm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;1,0--1,1)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(t);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(t);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=1.85cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[right,text</span><span
-class="cmtt-8">&nbsp;width=6cm,style=information</span><span
-class="cmtt-8">&nbsp;text]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;The</span><span
-class="cmtt-8">&nbsp;{\color{anglecolor}</span><span
-class="cmtt-8">&nbsp;angle</span><span
-class="cmtt-8">&nbsp;$\alpha$}</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;$30^\circ$</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;the</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;example</span><span
-class="cmtt-8">&nbsp;($\pi/6$</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;radians).</span><span
-class="cmtt-8">&nbsp;The</span><span
-class="cmtt-8">&nbsp;{\color{sincolor}sine</span><span
-class="cmtt-8">&nbsp;of</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;$\alpha$},</span><span
-class="cmtt-8">&nbsp;which</span><span
-class="cmtt-8">&nbsp;is</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;height</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;red</span><span
-class="cmtt-8">&nbsp;line,</span><span
-class="cmtt-8">&nbsp;is</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\[</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{\color{sincolor}</span><span
-class="cmtt-8">&nbsp;\sin</span><span
-class="cmtt-8">&nbsp;\alpha}</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;1/2.</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;By</span><span
-class="cmtt-8">&nbsp;the</span><span
-class="cmtt-8">&nbsp;Theorem</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;Pythagoras</span><span
-class="cmtt-8">&nbsp;...</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 1358--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">3.21 </span> <a
- id="x4-450003.21"></a>Nodes</h4>
-<!--l. 1360--><p class="noindent">Placing text at a given position is just a special case of a more general underlying mechanism. When you say
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;node{text};</span></span></span>, what actually happens is that a rectangular node, anchored at its center, is put at
-position (0<span
-class="cmmi-10">,</span>0). On top of the rectangular node the text <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text</span></span></span> is drawn. Since no action is specified for the rectangle
-(like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span>), the rectangle is actually discarded and only the text is shown. However, by adding
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span>, we can make the underlying shape visible. Furthermore, we can <span
-class="cmti-10">change </span>the shape using
-for example <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shape=circle</span></span></span> or just <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span>. If we include the package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryshapes</span></span></span> we also get
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span>:
-<!--l. 1372--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-61-" ><colgroup id="TBL-61-1g"><col
-id="TBL-61-1"><col
-id="TBL-61-2"></colgroup><tr
- valign="baseline" id="TBL-61-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-61-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-58.svg" width="109.37836 " height="127.49754 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-61-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[ellipse,fill=examplefill,draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(h1)</span><span
-class="cmtt-8">&nbsp;{hello</span><span
-class="cmtt-8">&nbsp;world}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0.5,2)</span><span
-class="cmtt-8">&nbsp;node[circle,shade,ball</span><span
-class="cmtt-8">&nbsp;color=examplefill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(h2)</span><span
-class="cmtt-8">&nbsp;{hello</span><span
-class="cmtt-8">&nbsp;world};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[-&gt;,shorten</span><span
-class="cmtt-8">&nbsp;&gt;=2pt]</span><span
-class="cmtt-8">&nbsp;(h1.north)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(h2.south);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1382--><p class="indent"> As the above example shows, we can add the a name to a node by putting it in parentheses between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> and
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span> (you can also use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">name=</span></span></span> option). This will make Ti<span
-class="cmti-10">k</span>Z&nbsp;remember your node and all its anchors. You
-can then refer to these anchors when specifying coordinates. The syntax is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>. Currently, and
-also in the near future, <span
-class="cmti-10">this will not work across pictures since Ti</span>k<span
-class="cmti-10">Z</span><span
-class="cmti-10">&nbsp;looses track of the positions when it returns</span>
-<span
-class="cmti-10">control to </span><span class="TEX"><span
-class="cmti-10">T</span><span
-class="E"><span
-class="cmti-10">E</span></span><span
-class="cmti-10">X</span></span><span
-class="cmti-10">. </span>Magic hackery is possible for certain drivers, but a portable implementation seems impossible (just
-think of a possible <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>driver).
-<!--l. 1393--><p class="indent"> The option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shorten</span><span
-class="cmtt-10">&nbsp;&gt;</span></span></span> causes lines to be shortened by 2pt at the end. Similarly, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shorten</span><span
-class="cmtt-10">&nbsp;&lt;</span></span></span> can be used to
-shorten (or even lengthen) lines at the beginning. This is possible even if no arrow is drawn.
-<!--l. 1397--><p class="indent"> It is not always necessary to specify the anchor. If you do not give an anchor, Ti<span
-class="cmti-10">k</span>Z&nbsp;will try to determine a
-reasonable border anchor by itself (if Ti<span
-class="cmti-10">k</span>Z&nbsp;fails to find anything useful, it will use the center instead). Here is a
-typical example:
-<!--l. 1402--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-59.svg" width="267.09122 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-62-" ><colgroup id="TBL-62-1g"><col
-id="TBL-62-1"></colgroup><tr
- valign="baseline" id="TBL-62-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-62-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[shape=circle,minimum</span><span
-class="cmtt-8">&nbsp;size=1cm,fill=examplefill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[draw,fill]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(q_A)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{$q_A$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(q_E)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;{$q_E$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(q_1)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;{$q_1$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(q_2)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(4,2)</span><span
-class="cmtt-8">&nbsp;{$q_2$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(q_A)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(q_1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(q_2)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(q_E);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;,shorten</span><span
-class="cmtt-8">&nbsp;&gt;=2pt]</span><span
-class="cmtt-8">&nbsp;(q_A)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(75:1.4cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(105:1.4cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$x$}</span><span
-class="cmtt-8">&nbsp;(q_A);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1416--><p class="indent"> In the example, we used the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\node</span></span></span> command, which is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;node</span></span></span>.
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse4.html" >next</a>] [<a
-href="pgfmanualse2.html" >prev</a>] [<a
-href="pgfmanualse2.html#tailpgfmanualse2.html" >prev-tail</a>] [<a
-href="pgfmanualse3.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse3.html" >up</a>] </p></div>
-<!--l. 10--><p class="indent"> <a
- id="tailpgfmanualse3.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse30.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse30.html
deleted file mode 100644
index aa5c9e69513..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse30.html
+++ /dev/null
@@ -1,382 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>30 Layered Graphics</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse31.html" >next</a>] [<a
-href="pgfmanualse29.html" >prev</a>] [<a
-href="pgfmanualse29.html#tailpgfmanualse29.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse30.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse30.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">30 </span> <a
- id="x31-29800030"></a>Layered Graphics</h3>
-<!--l. 12--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox376"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfbaselayers</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx31-298001"></a>
-<a
- id="dx31-298002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox377"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaselayers</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox378"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfbaselayers</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 13--><p class="noindent">This package provides a commands and environments for composing a picture from multiple layers.
- The package is loaded automatically by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>, but you can load it manually if you have only included
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfcore</span></span></span>. </dd></dl>
-<!--l. 21--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">30.1 </span> <a
- id="x31-29900030.1"></a>Overview</h4>
-<!--l. 23--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;provides a layering mechanism for composing graphics from multiple layers. (This mechanism is not be
-confused with the conceptual &#8220;software layers&#8221; the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system is composed of.) Layers are often used in graphic
-programs. The idea is that you can draw on the different layers in any order. So you might start drawing something
-on the &#8220;background&#8221; layer, then something on the &#8220;foreground&#8221; layer, then something on the &#8220;middle&#8221; layer, and
-then something on the background layer once more, and so on. At the end, no matter in which ordering you drew on
-the different layers, the layers are &#8220;stacked on top of each other&#8221; in a fixed ordering to produce the final
-picture. Thus, anything drawn on the middle layer would come on top of everything of the background
-layer.
-<!--l. 36--><p class="indent"> Normally, you do not need to use different layers since you will have little trouble &#8220;ordering&#8221; your graphic
-commands in such a way that layers are superfluous. However, in certain situations you only &#8220;know&#8221; what you
-should draw behind something else after the &#8220;something else&#8221; has been drawn.
-<!--l. 42--><p class="indent"> For example, suppose you wish to draw a yellow background behind your picture. The background should be as
-large as the bounding box of the picture, plus a little border. If you know the size of the bounding box of the picture
-at its beginning, this is easy to accomplish. However, in general this is not the case and you need to
-create a &#8220;background&#8221; layer in addition to the standard &#8220;main&#8221; layer. Then, at the end of the picture,
-when the bounding box has been established, you can add a rectangle of the appropriate size to the
-picture.
-<!--l. 53--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">30.2 </span> <a
- id="x31-30000030.2"></a>Declaring Layers</h4>
-<!--l. 55--><p class="noindent">In <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;layers are referenced using names. The standard layer, which is a bit special in certain ways, is called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">main</span></span></span>.
-If nothing else is specified, all graphic commands are added to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">main</span></span></span> layer. You can declare a new layer using the
-following command:
-<!--l. 60--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox379"><span
-class="cmtt-10">\pgfdeclarelayer</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx31-300001"></a>
- <!--l. 61--><p class="noindent">This command declares a layer named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>for later use. Mainly, this will setup some internal
- bookkeeping. </dd></dl>
-
-
-<!--l. 65--><p class="indent"> The next step toward using a layer is to tell <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;which layers will be part of the actual picture
-and which will be their ordering. Thus, it is possible to have more layers declared than are actually
-used.
-<!--l. 70--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox380"><span
-class="cmtt-10">\pgfsetlayers</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layer list</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx31-300002"></a>
- <!--l. 71--><p class="noindent">This command, which should be used <span
-class="cmti-10">outside </span>a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> environment, tells <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;which layers will be
- used in pictures. They are stacked on top of each other in the order given. The layer <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">main</span></span></span> should always be
- part of the list. Here is an example:
- <!--l. 76--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-567-" ><colgroup id="TBL-567-1g"><col
-id="TBL-567-1"></colgroup><tr
- valign="baseline" id="TBL-567-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-567-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclarelayer{background}</span>
-<br><span
-class="cmtt-8">\pgfdeclarelayer{foreground}</span>
-<br><span
-class="cmtt-8">\pgfsetlayers{background,main,foreground}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 84--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">30.3 </span> <a
- id="x31-30100030.3"></a>Using Layers</h4>
-<!--l. 86--><p class="noindent">Once the layers of your picture have been declared, you can start to &#8220;fill&#8221; them. As said before, all graphics
-commands are normally added to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">main</span></span></span> layer. Using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfonlayer}</span></span></span> environment, you can tell <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;that
-certain commands should, instead, be added to the given layer.
-<!--l. 92--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox381"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">pgfonlayer</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layer name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox382"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox383"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">pgfonlayer</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx31-301001"></a>
-<a
- id="dx31-301002"></a>
- <!--l. 93--><p class="noindent">The whole <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt; </span>is added to the layer with the name <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layer name</span><span
-class="cmsy-10">&gt;</span>. This environment
- can be used anywhere inside a picture. Thus, even if it is used inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfscope}</span></span></span> or a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;group,
- the contents will still be added to the &#8220;whole&#8221; picture. Using this environment multiple times inside
- the same picture will cause the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt; </span>to accumulate.
- <!--l. 100--><p class="noindent"><span
-class="cmti-10">Note: </span>You can <span
-class="cmti-10">not </span>add anything to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">main</span></span></span> layer using this environment. The only way to add
- anything to the main layer is to give graphic commands outside all <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfonlayer}</span></span></span> environments.
-
-
- <!--l. 105--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-568-" ><colgroup id="TBL-568-1g"><col
-id="TBL-568-1"><col
-id="TBL-568-2"></colgroup><tr
- valign="baseline" id="TBL-568-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-568-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-646.svg" width="76.87369 " height="76.87369 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-568-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfdeclarelayer{background</span><span
-class="cmtt-8">&nbsp;layer}</span>
-<br><span
-class="cmtt-8">\pgfdeclarelayer{foreground</span><span
-class="cmtt-8">&nbsp;layer}</span>
-<br><span
-class="cmtt-8">\pgfsetlayers{background</span><span
-class="cmtt-8">&nbsp;layer,main,foreground</span><span
-class="cmtt-8">&nbsp;layer}</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;On</span><span
-class="cmsltt-10x-x-80">&nbsp;main</span><span
-class="cmsltt-10x-x-80">&nbsp;layer:</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[blue]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(1cm);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfonlayer}{background</span><span
-class="cmtt-8">&nbsp;layer}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[yellow]</span><span
-class="cmtt-8">&nbsp;(-1,-1)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfonlayer}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfonlayer}{foreground</span><span
-class="cmtt-8">&nbsp;layer}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node[white]</span><span
-class="cmtt-8">&nbsp;{foreground};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfonlayer}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfonlayer}{background</span><span
-class="cmtt-8">&nbsp;layer}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[black]</span><span
-class="cmtt-8">&nbsp;(-.8,-.8)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(.8,.8);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfonlayer}</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;On</span><span
-class="cmsltt-10x-x-80">&nbsp;main</span><span
-class="cmsltt-10x-x-80">&nbsp;layer</span><span
-class="cmsltt-10x-x-80">&nbsp;again:</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[blue!50]</span><span
-class="cmtt-8">&nbsp;(-.5,-1)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(.5,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 131--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox384"><span
-class="cmtt-10">\pgfonlayer</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">layer name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox385"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox386"><span
-class="cmtt-10">\endpgfonlayer</span></span> </dt><dd
-class="description">
-<a
- id="dx31-301003"></a>
-<a
- id="dx31-301004"></a>
- <!--l. 132--><p class="noindent">This is the plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;version of the environment. </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse31.html" >next</a>] [<a
-href="pgfmanualse29.html" >prev</a>] [<a
-href="pgfmanualse29.html#tailpgfmanualse29.html" >prev-tail</a>] [<a
-href="pgfmanualse30.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse30.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse30.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse31.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse31.html
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@@ -1,428 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>31 Quick Commands</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse30.html" >prev</a>] [<a
-href="pgfmanualse30.html#tailpgfmanualse30.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse31.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse31.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">31 </span> <a
- id="x32-30200031"></a>Quick Commands</h3>
-<!--l. 10--><p class="noindent">This section explains the &#8220;quick&#8221; commands of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. These commands are executed more quickly than the normal
-commands of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>, but offer less functionality. You should use these commands only if you either have a very large
-number of commands that need to be processed or if you expect your commands to be executed very
-often.
-<!--l. 18--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">31.1 </span> <a
- id="x32-30300031.1"></a>Quick Path Construction Commands</h4>
-<!--l. 20--><p class="noindent">The difference between the quick and the normal path commands is that the quick path commands
- <ul class="itemize1">
- <li class="itemize">do not keep track of the bounding boxes,
- </li>
- <li class="itemize">do not allow you to arc corners,
- </li>
- <li class="itemize">do not apply coordinate transformations.</li></ul>
-<!--l. 31--><p class="indent"> However, they do use the soft-path subsystem (see Section&nbsp;<a
-href="pgfmanualse34.html#x35-32300034">34<!--tex4ht:ref: section-soft-paths --></a> for details), which allows you to mix quick and
-normal path commands arbitrarily.
-<!--l. 35--><p class="indent"> All quick path construction commands start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathq</span></span></span>.
-<!--l. 37--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox387"><span
-class="cmtt-10">\pgfpathqmoveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-303001"></a>
- <!--l. 38--><p class="noindent">Either starts a path or starts a new part of a path at the coordinate (<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmmi-10">,</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y dimension</span><span
-class="cmsy-10">&gt;</span>).
- The coordinate is <span
-class="cmti-10">not </span>transformed by the current coordinate transformation matrix. However, any
- low-level transformations apply.
- <!--l. 43--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-569-" ><colgroup id="TBL-569-1g"><col
-id="TBL-569-1"><col
-id="TBL-569-2"></colgroup><tr
- valign="baseline" id="TBL-569-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-569-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-647.svg" width="115.21054 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-569-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgftransformxshift{1cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathqmoveto{0pt}{0pt}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;not</span><span
-class="cmsltt-10x-x-80">&nbsp;transformed</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathqlineto{1cm}{1cm}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;not</span><span
-class="cmsltt-10x-x-80">&nbsp;transformed</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathlineto{\pgfpoint{2cm}{0cm}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 55--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox388"><span
-class="cmtt-10">\pgfpathqlineto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-303002"></a>
- <!--l. 56--><p class="noindent">The quick version of the line-to operation. </dd></dl>
-<!--l. 59--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox389"><span
-class="cmtt-10">\pgfpathqcurveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">x</span></sub><sup><span
-class="cmr-7">1</span></sup><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">y</span></sub><sup><span
-class="cmr-7">1</span></sup><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">x</span></sub><sup><span
-class="cmr-7">2</span></sup><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">y</span></sub><sup><span
-class="cmr-7">2</span></sup><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">t</span><sub ><span
-class="cmmi-7">x</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">t</span><sub ><span
-class="cmmi-7">y</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-303003"></a>
- <!--l. 60--><p class="noindent">The quick version of the curve-to operation. The first support point is (<span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">x</span></sub><sup><span
-class="cmr-7">1</span></sup><span
-class="cmmi-10">,s</span><sub><span
-class="cmmi-7">y</span></sub><sup><span
-class="cmr-7">1</span></sup>), the second support
- point is (<span
-class="cmmi-10">s</span><sub><span
-class="cmmi-7">x</span></sub><sup><span
-class="cmr-7">2</span></sup><span
-class="cmmi-10">,s</span><sub><span
-class="cmmi-7">y</span></sub><sup><span
-class="cmr-7">2</span></sup>), and the target is (<span
-class="cmmi-10">t</span><sub ><span
-class="cmmi-7">x</span></sub><span
-class="cmmi-10">,t</span><sub ><span
-class="cmmi-7">y</span></sub>).
- <!--l. 64--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-570-" ><colgroup id="TBL-570-1g"><col
-id="TBL-570-1"><col
-id="TBL-570-2"></colgroup><tr
- valign="baseline" id="TBL-570-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-570-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-648.svg" width="115.07718 " height="77.14032 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-570-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathqmoveto{0pt}{0pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathqcurveto{1cm}{1cm}{2cm}{1cm}{3cm}{0cm}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 74--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox390"><span
-class="cmtt-10">\pgfpathqcircle</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-303004"></a>
- <!--l. 75--><p class="noindent">Adds a radius around the origin of the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span>. This command is orders of magnitude faster
- than <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfcircle{\pgfpointorigin}{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>.
- <!--l. 79--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-571-" ><colgroup id="TBL-571-1g"><col
-id="TBL-571-1"><col
-id="TBL-571-2"></colgroup><tr
- valign="baseline" id="TBL-571-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-571-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-649.svg" width="39.20348 " height="39.20348 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-571-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathqcircle{10pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfsetfillcolor{examplefill}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepath{stroke,fill}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 91--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">31.2 </span> <a
- id="x32-30400031.2"></a>Quick Path Usage Commands</h4>
-<!--l. 93--><p class="noindent">The quick path usage commands perform similar tasks as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span>, but they
- <ul class="itemize1">
- <li class="itemize">do not add arrows,
- </li>
- <li class="itemize">do not modify the path in any way, in particular,
- </li>
- <li class="itemize">ends are not shortened,
- </li>
- <li class="itemize">corners are not replaced by arcs.</li></ul>
-<!--l. 106--><p class="indent"> Note that you <span
-class="cmti-10">have to </span>use the quick versions in the code of arrow tip definitions since, inside these definition, you
-obviously do not want arrows to be drawn.
-<!--l. 110--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox391"><span
-class="cmtt-10">\pgfusepathqstroke</span></span> </dt><dd
-class="description">
-<a
- id="dx32-304001"></a>
- <!--l. 111--><p class="noindent">Strokes the path without further ado. No arrows are drawn, no corners are arced.
- <!--l. 114--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-572-" ><colgroup id="TBL-572-1g"><col
-id="TBL-572-1"><col
-id="TBL-572-2"></colgroup><tr
- valign="baseline" id="TBL-572-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-572-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-650.svg" width="1.0 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-572-1-2"
-class="td11"><table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{pgfpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfpathqcircle{5pt}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\pgfusepathqstroke</span>
-<br><span
-class="cmtt-8">\end{pgfpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 122--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox392"><span
-class="cmtt-10">\pgfusepathqfill</span></span> </dt><dd
-class="description">
-<a
- id="dx32-304002"></a>
- <!--l. 123--><p class="noindent">Fills the path without further ado. </dd></dl>
-<!--l. 126--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox393"><span
-class="cmtt-10">\pgfusepathqfillstroke</span></span> </dt><dd
-class="description">
-<a
- id="dx32-304003"></a>
- <!--l. 127--><p class="noindent">Fills and then strokes the path without further ado. </dd></dl>
-<!--l. 130--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox394"><span
-class="cmtt-10">\pgfusepathqclip</span></span> </dt><dd
-class="description">
-<a
- id="dx32-304004"></a>
- <!--l. 131--><p class="noindent">Clips all subsequent drawings against the current path. The path is not processed. </dd></dl>
-<!--l. 136--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">31.3 </span> <a
- id="x32-30500031.3"></a>Quick Text Box Commands</h4>
-<!--l. 138--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox395"><span
-class="cmtt-10">\pgfqbox</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-305001"></a>
- <!--l. 139--><p class="noindent">This command inserts a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;box into a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> by &#8220;escaping&#8221; to <span class="TEX">T<span
-class="E">E</span>X</span>, inserting the box
- number <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt; </span>at the origin, and then returning to the typesetting the picture. </dd></dl>
-<!--l. 144--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox396"><span
-class="cmtt-10">\pgfqboxsynced</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx32-305002"></a>
- <!--l. 145--><p class="noindent">This command works similarly to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfqbox</span></span></span> command. However, before inserting the text in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span>
- <span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt;</span>, the current coordinate transformation matrix is applied to the current canvas transformation
- matrix (is it &#8220;synced&#8221; with this matrix, hence the name).
- <!--l. 151--><p class="noindent">Thus, this command basically has the same effect as if you first called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflowlevelsynccm</span></span></span> followed by
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfqbox</span></span></span>. However, this command will use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\hskip</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\raise</span></span></span> commands for the &#8220;translational part&#8221;
- of the coordinate transformation matrix, instead of adding the translational part to the current canvas
- transformation matrix directly. Both methods have the same effect (box <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt; </span>is translated
- where it should), but the method used by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfqboxsynced</span></span></span> ensures that hyperlinks are placed correctly.
- Note that scaling and rotation will not (cannot, even) apply to hyperlinks. </dd></dl>
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse30.html" >prev</a>] [<a
-href="pgfmanualse30.html#tailpgfmanualse30.html" >prev-tail</a>] [<a
-href="pgfmanualse31.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse31.html" >up</a>] </p></div>
-<!--l. 273--><p class="indent"> <a
- id="tailpgfmanualse31.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>32 Design of the System Layer</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse33.html" >next</a>] [<a
-href="#tailpgfmanualse32.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse32.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">32 </span> <a
- id="x33-30700032"></a>Design of the System Layer</h3>
-<!--l. 12--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">32.1 </span> <a
- id="x33-30800032.1"></a>Driver Files</h4>
-<!--l. 15--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system layer mainly consists of a large number of commands starting with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span>. These commands
-will be called <span
-class="cmti-10">system commands </span>in the following. The higher layers &#8220;interface&#8221; with the system layer by
-calling these commands. The higher layers should never use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span> commands directly or even check
-whether <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pdfoutput</span></span></span> is defined. Instead, all drawing requests should be &#8220;channeled&#8221; through the system
-commands.
-<!--l. 23--><p class="indent"> The system layer is loaded and setup by the following package:
-<!--l. 25--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox397"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">pgfsys</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx33-308001"></a>
-<a
- id="dx33-308002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox398"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfsys</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox399"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">pgfsys</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 26--><p class="noindent">This file provides &#8220;default implementations&#8221; of all system commands, but most simply produce a
- warning that they are not implemented. The actual implementations of the system commands for a
- particular driver like, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> reside in files called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-xxxx.sty</span></span></span>, where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xxxx</span></span></span> is the driver
- name. These will be called <span
-class="cmti-10">driver files </span>in the following.
- <!--l. 33--><p class="noindent">When <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys.sty</span></span></span> is loaded, it will try to determine which driver is used by loading <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf.cfg</span></span></span>. This
- file should setup the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysdriver</span></span></span> appropriately. The, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys.sty</span></span></span> will input the appropriate
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">drivername</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.sty</span></span></span>. </dd></dl>
-<!--l. 39--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox400"><span
-class="cmtt-10">\pgfsysdriver</span></span> </dt><dd
-class="description">
-<a
- id="dx33-308003"></a>
- <!--l. 40--><p class="noindent">This macro should expand to the name of the driver to be used by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys</span></span></span>. The default from <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf.cfg</span></span></span>
- is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-\Gin@driver</span></span></span>. This is very likely to be correct if you are using <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>. For plain <span class="TEX">T<span
-class="E">E</span>X</span>, the
- macro will be set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-pdftex.def</span></span></span> if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> is used and to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-dvips.def</span></span></span> otherwise. </dd></dl>
-<!--l. 47--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox401">File <span
-class="cmtt-10">pgf.cfg</span></span> </dt><dd
-class="description">
-<a
- id="dx33-308004"></a>
-<a
- id="dx33-308005"></a>
- <!--l. 48--><p class="noindent">This file should setup the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysdriver</span></span></span> correctly. If <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysdriver</span></span></span> is already set to some
- value, the driver normally should not change it. Otherwise, it should make a &#8220;good guess&#8221; at which
- driver will be appropriate. </dd></dl>
-<!--l. 55--><p class="indent"> The currently supported backend drivers are discussed in Section&nbsp;<a
-href="pgfmanualse5.html#x6-600005.2">5.2<!--tex4ht:ref: section-drivers --></a>.
-
-
-<!--l. 59--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">32.2 </span> <a
- id="x33-30900032.2"></a>Common Definition Files</h4>
-<!--l. 61--><p class="noindent">Some drivers share many <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands. For the reason, files defining these &#8220;common&#8221; commands are
-available. These files are <span
-class="cmti-10">not </span>usable alone.
-<!--l. 65--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox402">File <span
-class="cmtt-10">pgfsys-common-postscript</span></span> </dt><dd
-class="description">
-<a
- id="dx33-309001"></a>
-<a
- id="dx33-309002"></a>
- <!--l. 66--><p class="noindent">This file defines some <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands so that they produce appropriate PostScript code. </dd></dl>
-<!--l. 70--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox403">File <span
-class="cmtt-10">pgfsys-common-pdf</span></span> </dt><dd
-class="description">
-<a
- id="dx33-309003"></a>
-<a
- id="dx33-309004"></a>
- <!--l. 71--><p class="noindent">This file defines some <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands so that they produce appropriate <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>code. </dd></dl>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse33.html" >next</a>] [<a
-href="pgfmanualse32.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse32.html" >up</a>] </p></div>
-<!--l. 7--><p class="indent"> <a
- id="tailpgfmanualse32.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
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-<html >
-<head><title>33 Commands of the System Layer</title>
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-href="pgfmanualse34.html" >next</a>] [<a
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-href="pgfmanualse32.html#tailpgfmanualse32.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse33.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse33.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">33 </span> <a
- id="x34-31000033"></a>Commands of the System Layer</h3>
-<!--l. 11--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.1 </span> <a
- id="x34-31100033.1"></a>Beginning and Ending a Stream of System Commands</h4>
-<!--l. 13--><p class="noindent">A &#8220;user&#8221; of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system layer (like the basic layer or a frontend) will interface with the system layer by calling a
-stream of commands starting with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span>. From the system layer&#8217;s point of view, these commands form a long
-stream. Between calls to the system layer, control goes back to the user.
-<!--l. 19--><p class="indent"> The driver files implement system layer commands by inserting <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span> commands that implement the desired
-operation. For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span> will be mapped to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special{pdf:</span><span
-class="cmtt-10">&nbsp;S}</span></span></span> by the driver file for
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span>.
-<!--l. 24--><p class="indent"> For many drivers, when such a stream of specials starts, it is necessary to install an appropriate transformation
-and perhaps perform some more bureaucratic tasks. For this reason, every stream will start with a
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@beginpicture</span></span></span> and will end with a corresponding ending command.
-<!--l. 30--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox404"><span
-class="cmtt-10">\pgfsys@beginpicture</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311001"></a>
- <!--l. 31--><p class="noindent">Called at the beginning of a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>. This command should &#8220;setup things.&#8221;
- <!--l. 34--><p class="noindent">Most drivers will need to implement this command. </dd></dl>
-<!--l. 37--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox405"><span
-class="cmtt-10">\pgfsys@endpicture</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311002"></a>
- <!--l. 38--><p class="noindent">Called at the end of a pgfpicture.
- <!--l. 40--><p class="noindent">Most drivers will need to implement this command. </dd></dl>
-<!--l. 43--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox406"><span
-class="cmtt-10">\pgfsys@typesetpicturebox</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311003"></a>
- <!--l. 44--><p class="noindent">Called <span
-class="cmti-10">after </span>a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> has been typeset. The picture will have been put in box <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt;</span>. This
- command should insert the box into the normal text. The box <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt; </span>will still be a &#8220;raw&#8221; box that
- contains only the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span>&#8217;s that make up the description of the picture. The job of this command is
- to resize and shift <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box</span><span
-class="cmsy-10">&gt; </span>according to the baseline shift and the size of the box.
- <!--l. 52--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-<!--l. 56--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox407"><span
-class="cmtt-10">\pgfsys@beginpurepicture</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311004"></a>
- <!--l. 57--><p class="noindent">This version of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@beginpicture</span></span></span> picture command can be used for pictures that are
- guaranteed not to contain any escaped boxes (see below). In this case, a driver might provide a more
- compact version of the command.
- <!--l. 62--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-<!--l. 66--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox408"><span
-class="cmtt-10">\pgfsys@endpurepicture</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311005"></a>
- <!--l. 67--><p class="noindent">Called at the end of a &#8220;pure&#8221; <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
- <!--l. 69--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-<!--l. 73--><p class="indent"> Inside a stream it is sometimes necessary to &#8220;escape&#8221; back into normal typesetting mode; for example to insert
-some normal text, but with all of the current transformations and clippings being in force. For this escaping, the
-following command is used:
-<!--l. 78--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox409"><span
-class="cmtt-10">\pgfsys@hbox</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311006"></a>
- <!--l. 79--><p class="noindent">Called to insert a (horizontal) TeX box inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>.
- <!--l. 82--><p class="noindent">Most drivers will need to (re-)implement this command. </dd></dl>
-<!--l. 85--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox410"><span
-class="cmtt-10">\pgfsys@hboxsynced</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">box number</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-311007"></a>
- <!--l. 86--><p class="noindent">Called to insert a (horizontal) TeX box inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span>, but with the current coordiante
- transformation matrix synced with the canvas transformation matrix.
- <!--l. 90--><p class="noindent">This command should do the same as if you used <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgflowlevelsynccm</span></span></span> followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@hbox</span></span></span>.
- However, the default implementation of this command will use a &#8220;TeX-translation&#8221; for the translation
- part of the transformation matrix. This will ensure that hyperlinks &#8220;survive&#8221; at least translations. On
- the other hand, a driver may choose to revert to a simpler implementation. This is done, for example,
- for the <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>implementation, where a <span class="TEX">T<span
-class="E">E</span>X</span>-translation makes no sense. </dd></dl>
-<!--l. 102--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.2 </span> <a
- id="x34-31200033.2"></a>Path Construction System Commands</h4>
-<!--l. 104--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox411"><span
-class="cmtt-10">\pgfsys@moveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-312001"></a>
- <!--l. 105--><p class="noindent">This command is used to start a path at a specific point (<span
-class="cmmi-10">x,y</span>) or to move the current point of the
- current path to (<span
-class="cmmi-10">x,y</span>) without drawing anything upon stroking (the current path is &#8220;interrupted&#8221;).
- <!--l. 110--><p class="noindent">Both <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt; </span>are given as <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions. It is the driver&#8217;s job to transform these to the coordinate
- system of the backend. Typically, this means converting the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension into a dimensionless
- multiple of <img
-src="pgfmanual34x.gif" alt="1-
-72" class="frac" align="middle">in. The function <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@sys@bp</span></span></span> helps with this conversion.
- <!--l. 116--><p class="noindent"><span
-class="cmti-10">Example: </span>Draw a line from (10pt<span
-class="cmmi-10">,</span>10pt) to the origin of the picture.
- <!--l. 118--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-574-" ><colgroup id="TBL-574-1g"><col
-id="TBL-574-1"></colgroup><tr
- valign="baseline" id="TBL-574-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-574-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsys@moveto{10pt}{10pt}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{0pt}{0pt}</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 124--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 128--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox412"><span
-class="cmtt-10">\pgfsys@lineto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-312002"></a>
- <!--l. 129--><p class="noindent">Continue the current path to (<span
-class="cmmi-10">x,y</span>) with a straight line.
- <!--l. 132--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-
-
-<!--l. 136--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox413"><span
-class="cmtt-10">\pgfsys@curveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">y</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">y</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">3</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">y</span><sub ><span
-class="cmr-7">3</span></sub><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-312003"></a>
- <!--l. 137--><p class="noindent">Continue the current path to (<span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">3</span></sub><span
-class="cmmi-10">,y</span><sub ><span
-class="cmr-7">3</span></sub>) with a B&eacute;zier curve that has the two control points (<span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmmi-10">,y</span><sub ><span
-class="cmr-7">1</span></sub>) and
- (<span
-class="cmmi-10">x</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmmi-10">,y</span><sub ><span
-class="cmr-7">2</span></sub>).
- <!--l. 140--><p class="noindent"><span
-class="cmti-10">Example: </span>Draw a good approximation of a quarter circle:
- <!--l. 141--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-575-" ><colgroup id="TBL-575-1g"><col
-id="TBL-575-1"></colgroup><tr
- valign="baseline" id="TBL-575-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-575-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsys@moveto{10pt}{0pt}</span>
-<br><span
-class="cmtt-8">\pgfsys@curveto{10pt}{5.55pt}{5.55pt}{10pt}{0pt}{10pt}</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 147--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 151--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox414"><span
-class="cmtt-10">\pgfsys@rect</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-312004"></a>
- <!--l. 152--><p class="noindent">Append a rectangle to the current path whose lower left corner is at (<span
-class="cmmi-10">x,y</span>) and whose width and height
- in big points are given by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 156--><p class="noindent">This command can be &#8220;mapped back&#8221; to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@moveto</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@lineto</span></span></span> commands, but it is
- included since <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;has a special, quick version of this command.
- <!--l. 160--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 164--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox415"><span
-class="cmtt-10">\pgfsys@closepath</span></span> </dt><dd
-class="description">
-<a
- id="dx34-312005"></a>
- <!--l. 165--><p class="noindent">Close the current path. This results in joining the current point of the path with the point specified
- by the last <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@moveto</span></span></span> operation. Typically, this is preferable over using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@lineto</span></span></span> to the
- last point specified by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@moveto</span></span></span>, since the line starting at this point and the line ending at
- this point will be smoothly joined by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@closepath</span></span></span>.
- <!--l. 172--><p class="noindent"><span
-class="cmti-10">Example: </span>Consider
- <!--l. 173--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-576-" ><colgroup id="TBL-576-1g"><col
-id="TBL-576-1"></colgroup><tr
- valign="baseline" id="TBL-576-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-576-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsys@moveto{0pt}{0pt}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{10bp}{10bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{0bp}{10bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@closepath</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 180--><p class="noindent">and
- <!--l. 181--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-577-" ><colgroup id="TBL-577-1g"><col
-id="TBL-577-1"></colgroup><tr
- valign="baseline" id="TBL-577-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-577-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsys@moveto{0bp}{0bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{10bp}{10bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{0bp}{10bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{0bp}{0bp}</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 189--><p class="noindent">The difference between the above will be that in the second triangle the corner at the origin will be
- wrong; it will just be the overlay of two lines going in different directions, not a sharp pointed
- corner.
- <!--l. 194--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-
-
-<!--l. 200--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.3 </span> <a
- id="x34-31300033.3"></a>Canvas Transformation System Commands</h4>
-<!--l. 202--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox416"><span
-class="cmtt-10">\pgfsys@transformcm</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">a</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">b</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">c</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">e</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">f </span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-313001"></a>
- <!--l. 203--><p class="noindent">Perform a concatenation of the canvas transformation matrix with the matrix given by the values <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">a</span><span
-class="cmsy-10">&gt;</span>
- to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">f </span><span
-class="cmsy-10">&gt;</span>, see the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;or PostScript manual for details. The values <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">a</span><span
-class="cmsy-10">&gt; </span>to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</span><span
-class="cmsy-10">&gt; </span>are dimensionless factors,
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">e</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">f </span><span
-class="cmsy-10">&gt; </span>are <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions
- <!--l. 208--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@transformcm{1}{0}{0}{1}{1cm}{1cm}</span></span></span>.
- <!--l. 210--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 214--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox417"><span
-class="cmtt-10">\pgfsys@transformshift</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x displacement</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y displacement</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-313002"></a>
- <!--l. 215--><p class="noindent">This command will change the origin of the canvas to (<span
-class="cmmi-10">x,y</span>).
- <!--l. 217--><p class="noindent">This command has a default implementation and need not be implemented by a driver file.
- <!--l. 220--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 223--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox418"><span
-class="cmtt-10">\pgfsys@transformxyscale</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x scale</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y scale</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-313003"></a>
- <!--l. 224--><p class="noindent">This command will scale the canvas (and everything that is drawn) by a factor of <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x scale</span><span
-class="cmsy-10">&gt; </span>in the
- <span
-class="cmmi-10">x</span>-direction and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y scale</span><span
-class="cmsy-10">&gt; </span>in the <span
-class="cmmi-10">y</span>-direction. Note that this applies to everything, including lines. So a
- scaled line will have a different width and may even have a different width when going along the <span
-class="cmmi-10">x</span>-axis
- and when going along the <span
-class="cmmi-10">y</span>-axis, if the scaling is different in these directions. Usually, you do not want
- this.
- <!--l. 232--><p class="noindent">This command has a default implementation and need not be implemented by a driver file.
- <!--l. 235--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 239--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.4 </span> <a
- id="x34-31400033.4"></a>Stroking, Filling, and Clipping System Commands</h4>
-<!--l. 241--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox419"><span
-class="cmtt-10">\pgfsys@stroke</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314001"></a>
- <!--l. 242--><p class="noindent">Stroke the current path (as if it were drawn with a pen). A number of graphic state parameters influence
- this, which can be set using appropriate system commands described later.
- <!--l. 246--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="cmbx-10">Line width</span> </dt><dd
-class="description">The &#8220;thickness&#8221; of the line. A width of 0 is the thinnest width renderable on the device.
- On a high-resolution printer this may become invisible and should be avoided. A good choice is
- 0.4pt, which is the default.
- </dd><dt class="description">
- <span
-class="cmbx-10">Stroke color</span> </dt><dd
-class="description">This special color is used for stroking. If it is not set, the current color is used.
-
-
- </dd><dt class="description">
- <span
-class="cmbx-10">Cap</span> </dt><dd
-class="description">The cap describes how the endings of lines are drawn. A round cap adds a little half circle to
- these endings. A butt cap ends the lines exactly at the end (or start) point without anything
- added. A rectangular cap ends the lines like the butt cap, but the lines protrude over the endpoint
- by the line thickness. (See also the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;manual.) If the path has been closed, no cap is drawn.
- </dd><dt class="description">
- <span
-class="cmbx-10">Join</span> </dt><dd
-class="description">This describes how a bend (a join) in a path is rendered. A round join draws bends using small
- arcs. A bevel join just draws the two lines and then fills the join minimally so that it becomes
- convex. A miter join extends the lines so that they form a single sharp corner, but only up to a
- certain miter limit. (See the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;manual once more.)
- </dd><dt class="description">
- <span
-class="cmbx-10">Dash</span> </dt><dd
-class="description">The line may be dashed according to a dashing pattern.
- </dd><dt class="description">
- <span
-class="cmbx-10">Clipping area</span> </dt><dd
-class="description">If a clipping area is established, only those parts of the path that are inside the clipping
- area will be drawn.</dd></dl>
- <!--l. 282--><p class="noindent">In addition to stroking a path, the path may also be used for clipping after it has been stroked. This will
- happen if the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@clipnext</span></span></span> is used prior to this command, see there for details.
- <!--l. 287--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 291--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox420"><span
-class="cmtt-10">\pgfsys@closestroke</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314002"></a>
- <!--l. 292--><p class="noindent">This command should have the same effect as first closing the path and then stroking it.
- <!--l. 295--><p class="noindent">This command has a default implementation and need not be implemented by a driver file.
- <!--l. 298--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 302--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox421"><span
-class="cmtt-10">\pgfsys@fill</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314003"></a>
- <!--l. 303--><p class="noindent">This command fills the area surrounded by the current path. If the path has not yet been closed, it
- is closed prior to filling. The path itself is not stroked. For self-intersecting paths or paths consisting
- of multiple parts, the nonzero winding number rule is used to determine whether a point is inside or
- outside the path, except if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfsys@eorule</span></span></span> holds - in which case the even-odd rule should be used.
- (See the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;or PostScript manual for details.)
- <!--l. 312--><p class="noindent">The following graphic state parameters influence the filling:
- <!--l. 314--><p class="noindent">
- <dl class="description"><dt class="description">
- <span
-class="cmbx-10">Interior rule</span> </dt><dd
-class="description">If <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfsys@eorule</span></span></span> is set, the even-odd rule is used, otherwise the non-zero winding
- number rule.
- </dd><dt class="description">
- <span
-class="cmbx-10">Fill color</span> </dt><dd
-class="description">If the fill color is not especially set, the current color is used.
- </dd><dt class="description">
- <span
-class="cmbx-10">Clipping area</span> </dt><dd
-class="description">If a clipping area is established, only those parts of the filling area that are inside the
- clipping area will be drawn.</dd></dl>
- <!--l. 328--><p class="noindent">In addition to filling the path, the path will also be used for clipping if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@clipnext</span></span></span> is used prior to this
- command.
- <!--l. 331--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 334--><p class="noindent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox422"><span
-class="cmtt-10">\pgfsys@fillstroke</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314004"></a>
- <!--l. 335--><p class="noindent">First, the path is filled, then the path is stroked. If the fill and stroke colors are the same (or if they are
- not specified and the current color is used), this yields almost the same as a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@fill</span></span></span>. However,
- due to the line thickness of the stroked path, the fill-stroked area will be slightly larger.
- <!--l. 341--><p class="noindent">In addition to stroking and filling the path, the path will also be used for clipping if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@clipnext</span></span></span>
- is used prior to this command.
- <!--l. 344--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 348--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox423"><span
-class="cmtt-10">\pgfsys@discardpath</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314005"></a>
- <!--l. 349--><p class="noindent">Normally, this command should &#8220;throw away&#8221; the current path. However, after <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@clipnext</span></span></span>
- has been called, the current path should subsequently be used for clipping. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@clipnext</span></span></span> for
- details.
- <!--l. 354--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 358--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox424"><span
-class="cmtt-10">\pgfsys@clipnext</span></span> </dt><dd
-class="description">
-<a
- id="dx34-314006"></a>
- <!--l. 359--><p class="noindent">This command should be issued after a path has been constructed, but before it has been stroked and/or
- filled or discarded. When the command is used, the next stroking/filling/discarding command will first
- be executed normally. Then, afterwards, the just-used path will be used for subsequent clipping. If
- there has already been a clipping region, this region is intersected with the new clipping path (the
- clipping cannot get bigger). The nonzero winding number rule is used to determine whether a point
- is inside or outside the clipping area or the even-odd rule, depending on whether <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\ifpgfsys@eorule</span></span></span>
- holds. </dd></dl>
-<!--l. 374--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.5 </span> <a
- id="x34-31500033.5"></a>Graphic State Option System Commands</h4>
-<!--l. 376--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox425"><span
-class="cmtt-10">\pgfsys@setlinewidth</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315001"></a>
- <!--l. 377--><p class="noindent">Sets the width of lines, when stroked, to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span>, which must be a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension.
- <!--l. 380--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 383--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox426"><span
-class="cmtt-10">\pgfsys@buttcap</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315002"></a>
- <!--l. 384--><p class="noindent">Sets the cap to a butt cap. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 386--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 389--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox427"><span
-class="cmtt-10">\pgfsys@roundcap</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315003"></a>
- <!--l. 390--><p class="noindent">Sets the cap to a round cap. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 392--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-
-
-<!--l. 395--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox428"><span
-class="cmtt-10">\pgfsys@rectcap</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315004"></a>
- <!--l. 396--><p class="noindent">Sets the cap to a rectangular cap. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 398--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 401--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox429"><span
-class="cmtt-10">\pgfsys@miterjoin</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315005"></a>
- <!--l. 402--><p class="noindent">Sets the join to a miter join. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 404--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 407--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox430"><span
-class="cmtt-10">\pgfsys@setmiterlimit</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315006"></a>
- <!--l. 408--><p class="noindent">Sets the miter limit of lines to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt;</span>. See the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;or PostScript for details on what the miter limit
- is.
- <!--l. 411--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 414--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox431"><span
-class="cmtt-10">\pgfsys@roundjoin</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315007"></a>
- <!--l. 415--><p class="noindent">Sets the join to a round join. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 417--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 420--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox432"><span
-class="cmtt-10">\pgfsys@beveljoin</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315008"></a>
- <!--l. 421--><p class="noindent">Sets the join to a bevel join. See <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span>.
- <!--l. 423--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 426--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox433"><span
-class="cmtt-10">\pgfsys@setdash</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">pattern</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">phase</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315009"></a>
- <!--l. 427--><p class="noindent">Sets the dashing patter. <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">pattern</span><span
-class="cmsy-10">&gt; </span>should be a list of <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions lengths separated by commas.
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">phase</span><span
-class="cmsy-10">&gt; </span>should be a single dimension.
- <!--l. 431--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@setdash{3pt,3pt}{0pt}</span></span></span>
- <!--l. 433--><p class="noindent">The list of values in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">pattern</span><span
-class="cmsy-10">&gt; </span>is used to determine the lengths of the &#8220;on&#8221; phases of the dashing and
- of the &#8220;off&#8221; phases. For example, if <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">pattern</span><span
-class="cmsy-10">&gt; </span>is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">3bp,4bp</span></span></span>, then the dashing pattern is &#8220;3bp on followed
- by 4bp off, followed by 3bp on, followed by 4bp off, and so on.&#8221; A pattern of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.5pt,4pt,3pt,1.5pt</span></span></span>
- means &#8220;.5pt on, 4pt off, 3pt on, 1.5pt off, .5pt on, ...&#8221; If the number of entries is odd, the last one is
- used twice, so <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">3pt</span></span></span> means &#8220;3pt on, 3pt off, 3pt on, 3pt off, ...&#8221; An empty list means &#8220;always on.&#8221;
- <!--l. 443--><p class="noindent">The second argument determines the &#8220;phase&#8221; of the pattern. For example, for a pattern of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">3bp,4bp</span></span></span>
- and a phase of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">1bp</span></span></span>, the pattern would start: &#8220;2bp on, 4bp off, 3bp on, 4bp off, 3bp on, 4bp off, ...&#8221;
- <!--l. 448--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-
-
-<!--l. 452--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox434"><span
-class="cmtt-10">\ifpgfsys@eorule</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315010"></a>
- <!--l. 453--><p class="noindent">Determines whether the even odd rule is used for filling and clipping or not. </dd></dl>
-<!--l. 458--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox435"><span
-class="cmtt-10">\pgfsys@stroke@opacity</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315011"></a>
- <!--l. 459--><p class="noindent">Sets the opacity of stroking operations. </dd></dl>
-<!--l. 462--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox436"><span
-class="cmtt-10">\pgfsys@fill@opacity</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-315012"></a>
- <!--l. 463--><p class="noindent">Sets the opacity of filling operations. </dd></dl>
-<!--l. 467--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.6 </span> <a
- id="x34-31600033.6"></a>Color System Commands</h4>
-<!--l. 469--><p class="noindent">The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system layer provides a number of system commands for setting colors. These command coexist with
-commands from the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xcolor</span></span></span> package, which perform similar functions. However, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color</span></span></span> package does
-not support having two different colors for stroking and filling, which is a useful feature that is supported by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>.
-For this reason, the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system layer offers commands for setting these colors separatedly. Also, plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;profits
-from the fact that <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;can set colors.
-<!--l. 478--><p class="indent"> For <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>, implementing these color commands is easy since <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;supports different stroking and
-filling colors directly. For PostScript, a more complicated approach is needed in which the colors need
-to be stored in special PostScript variables that are set whenever a stroking or a filling operation is
-done.
-<!--l. 484--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox437"><span
-class="cmtt-10">\pgfsys@color@rgb</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">red</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">green</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">blue</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316001"></a>
- <!--l. 485--><p class="noindent">Sets the color used for stroking and filling operations to the given red/green/blue tuple (numbers
- between 0 and 1).
- <!--l. 488--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 491--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox438"><span
-class="cmtt-10">\pgfsys@color@rgb@stroke</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">red</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">green</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">blue</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316002"></a>
- <!--l. 492--><p class="noindent">Sets the color used for stroking operations to the given red/green/blue tuple (numbers between 0 and
- 1).
- <!--l. 495--><p class="noindent"><span
-class="cmti-10">Example: </span>Make stroked text dark red: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@rgb@stroke{0.5}{0}{0}</span></span></span>
- <!--l. 497--><p class="noindent">The special stroking color is only used if the stroking color has been set since the last <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> or
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@xxx</span></span></span> command. Thus, each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command will reset both the stroking and filling
- colors by calling <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@reset</span></span></span>.
- <!--l. 502--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 505--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox439"><span
-class="cmtt-10">\pgfsys@color@rgb@fill</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">red</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">green</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">blue</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316003"></a>
- <!--l. 506--><p class="noindent">Sets the color used for filling operations to the given red/green/blue tuple (numbers between 0 and 1).
- This color may be different from the stroking color.
- <!--l. 510--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 513--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox440"><span
-class="cmtt-10">\pgfsys@color@cmyk</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316004"></a>
- <!--l. 514--><p class="noindent">Sets the color used for stroking and filling operations to the given cymk tuple (numbers between 0 and
- 1).
- <!--l. 517--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 520--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox441"><span
-class="cmtt-10">\pgfsys@color@cmyk@stroke</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316005"></a>
- <!--l. 521--><p class="noindent">Sets the color used for stroking operations to the given cymk tuple (numbers between 0 and 1).
- <!--l. 524--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 527--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox442"><span
-class="cmtt-10">\pgfsys@color@cmyk@fill</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316006"></a>
- <!--l. 528--><p class="noindent">Sets the color used for filling operations to the given cymk tuple (numbers between 0 and 1).
- <!--l. 531--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 534--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox443"><span
-class="cmtt-10">\pgfsys@color@cmy</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316007"></a>
- <!--l. 535--><p class="noindent">Sets the color used for stroking and filling operations to the given cym tuple (numbers between 0 and
- 1).
- <!--l. 538--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 541--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox444"><span
-class="cmtt-10">\pgfsys@color@cmy@stroke</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316008"></a>
- <!--l. 542--><p class="noindent">Sets the color used for stroking operations to the given cym tuple (numbers between 0 and 1).
- <!--l. 545--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 548--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox445"><span
-class="cmtt-10">\pgfsys@color@cmy@fill</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">cyan</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">magenta</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">yellow</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316009"></a>
- <!--l. 549--><p class="noindent">Sets the color used for filling operations to the given cym tuple (numbers between 0 and 1).
- <!--l. 552--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 555--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox446"><span
-class="cmtt-10">\pgfsys@color@gray</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316010"></a>
- <!--l. 556--><p class="noindent">Sets the color used for stroking and filling operations to the given black value, where 0 means black
- and 1 means white.
- <!--l. 559--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 562--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox447"><span
-class="cmtt-10">\pgfsys@color@gray@stroke</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316011"></a>
- <!--l. 563--><p class="noindent">Sets the color used for stroking operations to the given black value, where 0 means black and 1 means
- white.
- <!--l. 566--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 569--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox448"><span
-class="cmtt-10">\pgfsys@color@gray@fill</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">black</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316012"></a>
- <!--l. 570--><p class="noindent">Sets the color used for filling operations to the given black value, where 0 means black and 1 means
- white.
- <!--l. 573--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 576--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox449"><span
-class="cmtt-10">\pgfsys@color@reset</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316013"></a>
- <!--l. 577--><p class="noindent">This command will be called when the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command is used. It should purge any internal settings of
- stroking and filling color. After this call, till the next use of a command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@rgb@fill</span></span></span>,
- the current color installed by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\color</span></span></span> command should be used.
- <!--l. 583--><p class="noindent">If the <span class="TEX">T<span
-class="E">E</span>X</span>-if <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@reset@inorder</span></span></span> is set to true, this command may &#8220;assume&#8221; that any
- call to a color command that sets the fill or stroke color came &#8220;before&#8221; the call to this command and
- may try to optimize the output accordingly.
- <!--l. 588--><p class="noindent">An example of an incorrect &#8220;out of order&#8221; call would be using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@reset</span></span></span> at the beginning
- of a box that is constructed using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\setbox</span></span></span>. Then, when the box is constructed, no special fill or stroke
- color might be in force. However, when the box is later on inserted at some point, a special fill color
- might already have been set. In this case, this command is not guaranteed to reset the color correctly.
- </dd></dl>
-<!--l. 597--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox450"><span
-class="cmtt-10">\pgfsys@color@reset@inordertrue</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316014"></a>
- <!--l. 598--><p class="noindent">Sets the optimized &#8220;in order&#8221; version of the color resetting. This is the default. </dd></dl>
-<!--l. 602--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox451"><span
-class="cmtt-10">\pgfsys@color@reset@inorderfalse</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316015"></a>
- <!--l. 603--><p class="noindent">Switches off the optimized color resetting. </dd></dl>
-<!--l. 606--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox452"><span
-class="cmtt-10">\pgfsys@color@unstacked</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span class="LATEX"><span
-class="cmti-10">L</span><span class="A"><span
-class="cmti-10">A</span></span><span class="TEX"><span
-class="cmti-10">T</span><span
-class="E"><span
-class="cmti-10">E</span></span><span
-class="cmti-10">X</span></span></span><span
-class="cmti-10">&nbsp;color</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-316016"></a>
- <!--l. 607--><p class="noindent">This slightly obscure command causes the color stack to be tricked. When called, this command should
- set the current color to <span
-class="cmsy-10">&lt;</span><span class="LATEX"><span
-class="cmti-10">L</span><span class="A"><span
-class="cmti-10">A</span></span><span class="TEX"><span
-class="cmti-10">T</span><span
-class="E"><span
-class="cmti-10">E</span></span><span
-class="cmti-10">X</span></span></span><span
-class="cmti-10">&nbsp;color</span><span
-class="cmsy-10">&gt; </span>without causing any change in the color stack.
- <!--l. 611--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@color@unstacked{red}</span></span></span> </dd></dl>
-<!--l. 615--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.7 </span> <a
- id="x34-31700033.7"></a>Scoping System Commands</h4>
-<!--l. 617--><p class="noindent">The scoping commands are used to keep changes of the graphics state local.
-<!--l. 620--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox453"><span
-class="cmtt-10">\pgfsys@beginscope</span></span> </dt><dd
-class="description">
-<a
- id="dx34-317001"></a>
- <!--l. 621--><p class="noindent">Saves the current graphic state on a graphic state stack. All changes to the graphic state parameters
- mentioned for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@fill</span></span></span> will be local to the current graphic state and the
- old values will be restored after <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@endscope</span></span></span> is used.
- <!--l. 626--><p class="noindent"><span
-class="cmti-10">Warning: </span><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;and PostScript differ with respect to the question of whether the current path is part
- of the graphic state or not. For this reason, you should never use this command unless the path is
- currently empty. For example, it might be a good idea to use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@discardpath</span></span></span> prior to calling
- this command.
- <!--l. 632--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 635--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox454"><span
-class="cmtt-10">\pgfsys@endscope</span></span> </dt><dd
-class="description">
-<a
- id="dx34-317002"></a>
- <!--l. 636--><p class="noindent">Restores the last saved graphic state.
- <!--l. 638--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 647--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.8 </span> <a
- id="x34-31800033.8"></a>Image System Commands</h4>
-<!--l. 649--><p class="noindent">The system layer provides some commands for image inclusion.
-<!--l. 651--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox455"><span
-class="cmtt-10">\pgfsys@imagesuffixlist</span></span> </dt><dd
-class="description">
-<a
- id="dx34-318001"></a>
- <!--l. 652--><p class="noindent">This macro should expand to a list of suffixes, separated by &#8216;:&#8217;, that will be tried when searching for
- an image.
- <!--l. 655--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\def\pgfsys@imagesuffixlist{eps:epsi:ps}</span></span></span> </dd></dl>
-<!--l. 659--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox456"><span
-class="cmtt-10">\pgfsys@defineimage</span></span> </dt><dd
-class="description">
-<a
- id="dx34-318002"></a>
- <!--l. 660--><p class="noindent">Called, when an image should be defined.
- <!--l. 662--><p class="noindent">This command does not take any parameters. Instead, certain macros will be preinstalled with
- appropriate values when this command is invoked. These are:
-
-
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@filename</span></span></span> File name of the image to be defined.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@imagewidth</span></span></span> Will be set to the desired (scaled) width of the image.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@imageheight</span></span></span> Will be set to the desired (scaled) height of the image.
- <!--l. 676--><p class="noindent">If this macro and also the height macro are empty, the image should have its &#8220;natural&#8221; size.
- <!--l. 679--><p class="noindent">If exactly only of them is specified, the undefined value the image is scaled so that the aspect
- ratio is kept.
- <!--l. 682--><p class="noindent">If both are set, the image is scaled in both directions independently, possibly changing the aspect
- ratio.</li></ul>
- <!--l. 686--><p class="noindent">The following macros presumable mostly make sense for drivers that can handle <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@imagepage</span></span></span> The desired page number to be extracted from a multi-page &#8220;image.&#8221;
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@imagemask</span></span></span> If set, it will be set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/SMask</span><span
-class="cmtt-10">&nbsp;x</span><span
-class="cmtt-10">&nbsp;0</span><span
-class="cmtt-10">&nbsp;R</span></span></span> where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> is the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;object number of a
- soft mask to be applied to the image.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@imageinterpolate</span></span></span> If set, it will be set to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/Interpolate</span><span
-class="cmtt-10">&nbsp;true</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/Interpolate</span><span
-class="cmtt-10">&nbsp;false</span></span></span>,
- indicating whether the image should be interpolated in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>.</li></ul>
- <!--l. 704--><p class="noindent">The command should now setup the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@image</span></span></span> such that calling this macro will result in typesetting
- the image. Thus, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@image</span></span></span> is the &#8220;return value&#8221; of the command.
- <!--l. 708--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-<!--l. 713--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox457"><span
-class="cmtt-10">\pgfsys@definemask</span></span> </dt><dd
-class="description">
-<a
- id="dx34-318003"></a>
- <!--l. 714--><p class="noindent">This command declares a mask for usage with images. It works similar to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@defineimage</span></span></span>:
- Certain macros are set when the command is called. The result should be to set the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@mask</span></span></span>
- to a pdf object count that can subsequently be used as a soft mask. The following macros will be set
- when this command is invoked:
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@filename</span></span></span> File name of the mask to be defined.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@maskmatte</span></span></span> The so-called matte of the mask (see the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;documentation for details). The
- matte is a color specification consisting of 1, 3 or 4 numbers between 0 and 1. The number of
- numbers depends on the number of color channels in the image (not in the mask!). It will be
- assumed that the image has been preblended with this color.</li></ul>
- </dd></dl>
-<!--l. 734--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.9 </span> <a
- id="x34-31900033.9"></a>Shading System Commands</h4>
-<!--l. 737--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox458"><span
-class="cmtt-10">\pgfsys@horishading</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-319001"></a>
-
-
- <!--l. 738--><p class="noindent">Declares a horizontal shading for later use. The effect of this command should be the definition of
- a macro called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\@pgfshading</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span> (or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\csname</span><span
-class="cmtt-10">&nbsp;@pdfshading</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!\endcsname</span></span></span>, to be precise).
- When invoked, this new macro should insert a shading at the current position.
- <!--l. 744--><p class="noindent"><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>is the name of the shading, which is also used in the output macro name. <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt; </span>is the height
- of the shading and must be given as a TeX dimension like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2cm</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">10pt</span></span></span>. <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt; </span>is a shading
- color specification as specified in Section&nbsp;<a
-href="pgfmanualse28.html#x29-28600028">28<!--tex4ht:ref: section-shadings --></a>. The shading specification implicitly fixes the width of the
- shading.
- <!--l. 751--><p class="noindent">When <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\@pgfshading</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span> is invoked, it should insert a box of height <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt; </span>and the width implicit
- in the shading declaration. </dd></dl>
-<!--l. 757--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox459"><span
-class="cmtt-10">\pgfsys@vertshading</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-319002"></a>
- <!--l. 758--><p class="noindent">Like the horizontal version, only for vertical shadings. This time, the height of the shading is implicit
- in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt; </span>and the width is given as <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
-<!--l. 763--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox460"><span
-class="cmtt-10">\pgfsys@radialshading</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">starting point</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-319003"></a>
- <!--l. 764--><p class="noindent">Declares a radial shading. Like the previous macros, this command should setup the macro
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\@pgfshading</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">!</span></span></span>, which upon invocation should insert a radial shading whose size is implicit in
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 769--><p class="noindent">The parameter <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">starting point</span><span
-class="cmsy-10">&gt; </span>is a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;point specifying the inner starting point of the shading. </dd></dl>
-<!--l. 774--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.10 </span> <a
- id="x34-32000033.10"></a>Reusable Objects System Commands</h4>
-<!--l. 776--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox461"><span
-class="cmtt-10">\pgfsys@invoke</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literals</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-320001"></a>
- <!--l. 777--><p class="noindent">This command gets protocoled literals and should insert them into the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file using an
- appropriate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span>. </dd></dl>
-<!--l. 782--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox462"><span
-class="cmtt-10">\pgfsys@defobject</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">upper right</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-320002"></a>
- <!--l. 783--><p class="noindent">Declares an object for later use. The idea is that the object can be precached in some way and then
- be rendered more quickly when used several times. For example, an arrow head might be defined and
- prerendered in this way.
- <!--l. 788--><p class="noindent">The parameter <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt; </span>is the name for later use. <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">upper right</span><span
-class="cmsy-10">&gt; </span>are <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;points specifying
- a bounding box for the object. <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>is the code for the object. The code should not be too fancy.
- <!--l. 793--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-<!--l. 797--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox463"><span
-class="cmtt-10">\pgfsys@useobject</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">extra code</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-320003"></a>
- <!--l. 798--><p class="noindent">Renders a previously declared object. The first parameter is the name of the the object. The second
- parameter is extra code that should be executed right <span
-class="cmti-10">before </span>the object is rendered. Typically, this will
- be some transformation code.
- <!--l. 803--><p class="noindent">This command has a default implementation and need not be implemented by a driver file. </dd></dl>
-
-
-<!--l. 808--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.11 </span> <a
- id="x34-32100033.11"></a>Invisibility System Commands</h4>
-<!--l. 810--><p class="noindent">All drawing or stroking or text rendering between calls of the following commands should be suppressed. A similar
-effect can be achieved by clipping against an empty region, but the following commands do not open a graphics
-scope and can be opened and closed &#8220;orthogonally&#8221; to other scopes.
-<!--l. 816--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox464"><span
-class="cmtt-10">\pgfsys@begininvisible</span></span> </dt><dd
-class="description">
-<a
- id="dx34-321001"></a>
- <!--l. 817--><p class="noindent">Between this command and the closing <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@endinvisible</span></span></span> all output should be suppressed.
- Nothing should be drawn at all, which includes all paths, images and shadings. However, no groups
- (neither <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;groups nor graphic state groups) should be opened by this command.
- <!--l. 823--><p class="noindent">This command has a default implementation and need not be implemented by a driver file.
- <!--l. 826--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 829--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox465"><span
-class="cmtt-10">\pgfsys@endinvisible</span></span> </dt><dd
-class="description">
-<a
- id="dx34-321002"></a>
- <!--l. 830--><p class="noindent">Ends the invisibility section, unless invisibility blocks have been nested. In this case, only the &#8220;last&#8221;
- one restores visibility.
- <!--l. 833--><p class="noindent">This command has a default implementation and need not be implemented by a driver file.
- <!--l. 836--><p class="noindent">This command is protocoled, see Section&nbsp;<a
-href="pgfmanualse35.html#x36-32800035">35<!--tex4ht:ref: section-protocols --></a>. </dd></dl>
-<!--l. 842--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">33.12 </span> <a
- id="x34-32200033.12"></a>Internal Conversion Commands</h4>
-<!--l. 844--><p class="noindent">The system commands take <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions as input, but the dimensions that have to be inserted into <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;and
-PostScript files need to be dimensionless values that are interpreted as multiples of <img
-src="pgfmanual35x.gif" alt=" 1
-72" class="frac" align="middle">in. For example, the
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension 2<span
-class="cmmi-10">bp </span>should be inserted as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">2</span></span></span> into a <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;file and the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimension 10pt as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">9.9626401</span></span></span>. To make
-this conversion easier, the following command may be useful:
-<!--l. 852--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox466"><span
-class="cmtt-10">\pgf@sys@bp</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx34-322001"></a>
- <!--l. 853--><p class="noindent">Inserts how many multiples of <img
-src="pgfmanual36x.gif" alt="1
-72" class="frac" align="middle">in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>is into the current protocol stream (buffered).
- <!--l. 856--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@sys@bp{\pgf@x}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgf@sys@bp{1cm}</span></span></span>. </dd></dl>
-<!--l. 859--><p class="indent"> Note that this command is <span
-class="cmti-10">not </span>a system command that can/needs to be overwritten by a driver.
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse34.html" >next</a>] [<a
-href="pgfmanualse32.html" >prev</a>] [<a
-href="pgfmanualse32.html#tailpgfmanualse32.html" >prev-tail</a>] [<a
-href="pgfmanualse33.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse33.html" >up</a>] </p></div>
-<!--l. 7--><p class="indent"> <a
- id="tailpgfmanualse33.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>34 The Soft Path Subsystem</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse35.html" >next</a>] [<a
-href="pgfmanualse33.html" >prev</a>] [<a
-href="pgfmanualse33.html#tailpgfmanualse33.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse34.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse34.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">34 </span> <a
- id="x35-32300034"></a>The Soft Path Subsystem</h3>
-<!--l. 14--><p class="noindent">This section describes a set of commands for creating <span
-class="cmti-10">soft paths </span>as opposed to the commands of the previous
-section, which created <span
-class="cmti-10">hard paths</span>. A soft path is a path that can still be &#8220;changed&#8221; or &#8220;molded.&#8221; Once you (or the
-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;system) is satisfied with a soft path, it is turned into a hard path, which can be inserted into the resulting <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>
-or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span> file.
-<!--l. 21--><p class="indent"> Note that the commands described in this section are &#8220;high-level&#8221; in the sense that they are not
-implemented in driver files, but rather directly by the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>-system layer. For this reason, the commands for
-creating soft paths do not start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span>, but rather with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@</span></span></span>. On the other hand,
-as a user you will never use these commands directly, so they are described as part of the low-level
-interface.
-<!--l. 31--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">34.1 </span> <a
- id="x35-32400034.1"></a>Path Creation Process</h4>
-<!--l. 33--><p class="noindent">When the user writes a command like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(0bp,0bp)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(10bp,0bp);</span></span></span> quite a lot happens behind the
-scenes:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x35-324002x1"></a>The frontend command is translated by Ti<span
-class="cmti-10">k</span>Z&nbsp;into commands of the basic layer. In essence, the command is
- translated to something like
- <!--l. 40--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-578-" ><colgroup id="TBL-578-1g"><col
-id="TBL-578-1"></colgroup><tr
- valign="baseline" id="TBL-578-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-578-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfpathmoveto{\pgfpoint{0bp}{0bp}}</span>
-<br><span
-class="cmtt-8">\pgfpathlineto{\pgfpoint{10bp}{0bp}}</span>
-<br><span
-class="cmtt-8">\pgfusepath{stroke}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="enumerate" value="2"
-><a
- id="x35-324004x2"></a>The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathxxxx</span></span></span> command do <span
-class="cmti-10">not </span>directly call &#8220;hard&#8221; commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@xxxx</span></span></span>. Instead, the
- command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto</span></span></span> invokes a special command called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@moveto</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathlineto</span></span></span>
- invokes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@lineto</span></span></span>.
- <!--l. 51--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@xxxx</span></span></span> commands, which are described below, construct a soft path. Each time such a
- command is used, special tokens are added to the end of an internal macro that stores the soft path currently
- being constructed.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x35-324006x3"></a>When the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfusepath</span></span></span> is encountered, the soft path stored in the internal macro is &#8220;invoked.&#8221; Only now does
- a special macro iterate over the soft path. For each line-to or move-to operation on this path it calls an
- appropriate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@moveto</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@lineto</span></span></span> in order to, finally, create the desired hard path, namely, the
- string of literals in the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span> file.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x35-324008x4"></a>After the path has been invoked, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@stroke</span></span></span> is called to insert the literal for stroking the
- path.</li></ol>
-<!--l. 67--><p class="indent"> Why such a complicated process? Why not have <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathlineto</span></span></span> directly call <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@lineto</span></span></span> and be done
-with it? There are two reasons:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x35-324010x1"></a>The <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;specification requires that a path is not interrupted by any non-path-construction commands. Thus,
- the following code will result in a corrupted <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>:
- <!--l. 74--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-579-" ><colgroup id="TBL-579-1g"><col
-id="TBL-579-1"></colgroup><tr
- valign="baseline" id="TBL-579-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-579-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsys@moveto{0}{0}</span>
-<br><span
-class="cmtt-8">\pgfsys@setlinewidth{1}</span>
-<br><span
-class="cmtt-8">\pgfsys@lineto{10}{0}</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 80--><p class="noindent">Such corrupt code is <span
-class="cmti-10">tolerated </span>by most viewers, but not always. It is much better to create only (reasonably)
- legal code.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x35-324012x2"></a>A soft path can still be changed, while a hard path is fixed. For example, one can still change the starting and
- end points of a soft path or do optimizations on it. Such transformations are not possible on hard
- paths.</li></ol>
-<!--l. 90--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">34.2 </span> <a
- id="x35-32500034.2"></a>Starting and Ending a Soft Path</h4>
-<!--l. 92--><p class="noindent">No special action must be taken in order to start the creation of a soft path. Rather, each time a command like
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@lineto</span></span></span> is called, a special token is added to the (global) current soft path being
-constructed.
-<!--l. 97--><p class="indent"> However, you can access and change the current soft path. In this way, it is possible to store a soft path, to
-manipulate it, or to invoke it.
-<!--l. 101--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox467"><span
-class="cmtt-10">\pgfsyssoftpath@getcurrentpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-325001"></a>
- <!--l. 102--><p class="noindent">This command will store the current soft path in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
-<!--l. 105--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox468"><span
-class="cmtt-10">\pgfsyssoftpath@setcurrentpath</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-325002"></a>
- <!--l. 106--><p class="noindent">This command will set the current soft path to be the path stored in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span>. This macro
- should store a path that has previously been extracted using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@getcurrentpath</span></span></span>
- command and has possibly been modified subsequently. </dd></dl>
-<!--l. 112--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox469"><span
-class="cmtt-10">\pgfsyssoftpath@invokecurrentpath</span></span> </dt><dd
-class="description">
-<a
- id="dx35-325003"></a>
- <!--l. 113--><p class="noindent">This command will turn the current soft path in a &#8220;hard&#8221; path. To do so, it iterates over the soft path
- and calls an appropriate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@xxxx</span></span></span> command for each element of the path. Note that the current
- soft path is <span
-class="cmti-10">not changed </span>by this command. Thus, in order to start a new soft path after the old one
- has been invoked and is no longer needed, you need to set the current soft path to be empty. This may
- seems strange, but it is often useful to immediately use the last soft path again. </dd></dl>
-<!--l. 123--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox470"><span
-class="cmtt-10">\pgfsyssoftpath@flushcurrentpath</span></span> </dt><dd
-class="description">
-<a
- id="dx35-325004"></a>
- <!--l. 124--><p class="noindent">This command will invoke the current soft path and then set it to be empty. </dd></dl>
-<!--l. 130--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">34.3 </span> <a
- id="x35-32600034.3"></a>Soft Path Creation Commands</h4>
-<!--l. 132--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox471"><span
-class="cmtt-10">\pgfsyssoftpath@moveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-326001"></a>
-
-
- <!--l. 133--><p class="noindent">This command appends a &#8220;move-to&#8221; segment to the current soft path. The coordinates <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt; </span>and <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span>
- are given as normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions.
- <!--l. 137--><p class="noindent"><span
-class="cmti-10">Example: </span>One way to draw a line:
- <!--l. 138--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-580-" ><colgroup id="TBL-580-1g"><col
-id="TBL-580-1"></colgroup><tr
- valign="baseline" id="TBL-580-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-580-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsyssoftpath@moveto{0pt}{0pt}</span>
-<br><span
-class="cmtt-8">\pgfsyssoftpath@lineto{10pt}{10pt}</span>
-<br><span
-class="cmtt-8">\pgfsyssoftpath@flushcurrentpath</span>
-<br><span
-class="cmtt-8">\pgfsys@stroke</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 146--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox472"><span
-class="cmtt-10">\pgfsyssoftpath@lineto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-326002"></a>
- <!--l. 147--><p class="noindent">Appends a &#8220;line-to&#8221; segment to the current soft path. </dd></dl>
-<!--l. 150--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox473"><span
-class="cmtt-10">\pgfsyssoftpath@curveto</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">a</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">b</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">c</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-326003"></a>
- <!--l. 151--><p class="noindent">Appends a &#8220;curve-to&#8221; segment to the current soft path with controls (<span
-class="cmmi-10">a,b</span>) and (<span
-class="cmmi-10">c,d</span>). </dd></dl>
-<!--l. 155--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox474"><span
-class="cmtt-10">\pgfsyssoftpath@rect</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left x</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">lower left y</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">width</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">height</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx35-326004"></a>
- <!--l. 156--><p class="noindent">Appends a rectangle segment to the current soft path. </dd></dl>
-<!--l. 159--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox475"><span
-class="cmtt-10">\pgfsyssoftpath@closepath</span></span> </dt><dd
-class="description">
-<a
- id="dx35-326005"></a>
- <!--l. 160--><p class="noindent">Appends a &#8220;close-path&#8221; segment to the current soft path. </dd></dl>
-<!--l. 166--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">34.4 </span> <a
- id="x35-32700034.4"></a>The Soft Path Data Structure</h4>
-<!--l. 168--><p class="noindent">A soft path is stored in a standardized way, which makes it possible to modify it before it becomes &#8220;hard.&#8221;
-Basically, a soft path is a long sequence of triples. Each triple starts with a <span
-class="cmti-10">token </span>that identifies what is going on.
-This token is followed by two dimensions in braces. For example, the following is a soft path that means &#8220;the path
-starts at (0bp<span
-class="cmmi-10">,</span>0bp) and then continues in a straight line to (10bp<span
-class="cmmi-10">,</span>0bp).&#8221;
-<!--l. 177--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-581-" ><colgroup id="TBL-581-1g"><col
-id="TBL-581-1"></colgroup><tr
- valign="baseline" id="TBL-581-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-581-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfsyssoftpath@movetotoken{0bp}{0bp}\pgfsyssoftpath@linetotoken{10bp}{0bp}</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 181--><p class="indent"> A curve-to is hard to express in this way since we need six numbers to express it, not two. For this reasons, a
-curve-to is expressed using three triples as follows: The command
-<!--l. 184--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-582-" ><colgroup id="TBL-582-1g"><col
-id="TBL-582-1"></colgroup><tr
- valign="baseline" id="TBL-582-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-582-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\pgfsyssoftpath@curveto{1bp}{2bp}{3bp}{4bp}{5bp}{6bp}</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 187--><p class="noindent">results in the following three triples:
-<!--l. 189--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-583-" ><colgroup id="TBL-583-1g"><col
-id="TBL-583-1"></colgroup><tr
- valign="baseline" id="TBL-583-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-583-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\pgfsyssoftpath@curvetosupportatoken{1bp}{2bp}</span>
-<br><span
-class="cmtt-8">\pgfsyssoftpath@curvetosupportbtoken{3bp}{4bp}</span>
-<br><span
-class="cmtt-8">\pgfsyssoftpath@curvetotoken{5bp}{6bp}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 195--><p class="indent"> These three triples must always &#8220;remain together.&#8221; Thus, a lonely <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">supportbtoken</span></span></span> is forbidden.
-<!--l. 198--><p class="indent"> In details, the following tokens exist:
-
-
- <ul class="itemize1">
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@movetotoken</span></span></span> indicates a move-to operation. The two following numbers indicate
- the position to which the current point should be moved.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@linetotoken</span></span></span> indicates a line-to operation.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@curvetosupportatoken</span></span></span> indicates the first control point of a curve-to operation.
- The triple must be followed by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@curvetosupportbtoken</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@curvetosupportbtoken</span></span></span> indicates the second control point of a curve-to operation.
- The triple must be followed by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@curvetotoken</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@curvetotoken</span></span></span> indicates the target of a curve-to operation.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@rectcornertoken</span></span></span> indicates the corner of a rectangle on the soft path. The triple
- must be followed by a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@rectsizetoken</span></span></span>.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@rectsizetoken</span></span></span> indicates the size of a rectangle on the soft path.
- </li>
- <li class="itemize"><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsyssoftpath@closepath</span></span></span> indicates that the subpath begun with the last move-to operation should
- be closed. The parameter numbers are currently not important, but if set to anything different from
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{0pt}{0pt}</span></span></span>, they should be set to the coordinate of the original move-to operation to which the path
- &#8220;returns&#8221; now.</li></ul>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse35.html" >next</a>] [<a
-href="pgfmanualse33.html" >prev</a>] [<a
-href="pgfmanualse33.html#tailpgfmanualse33.html" >prev-tail</a>] [<a
-href="pgfmanualse34.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse34.html" >up</a>] </p></div>
-<!--l. 7--><p class="indent"> <a
- id="tailpgfmanualse34.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>35 The Protocol Subsystem</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse34.html" >prev</a>] [<a
-href="pgfmanualse34.html#tailpgfmanualse34.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse35.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse35.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">35 </span> <a
- id="x36-32800035"></a>The Protocol Subsystem</h3>
-<!--l. 13--><p class="noindent">This section describes commands for <span
-class="cmti-10">protocolling </span>literal text created by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. The idea is that some literal text, like
-the string of commands used to draw an arrow head, will be used over and over again in a picture. It is then
-much more efficient to compute the necessary literal text just once and to quickly insert it &#8220;in a single
-sweep.&#8221;
-<!--l. 20--><p class="indent"> When protocolling is &#8220;switched on,&#8221; there is a &#8220;current protocol&#8221; to which literal text gets appended. Once all
-commands that needed to be protocoled have been issued, the protocol can be obtained and stored using
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@getcurrentprotocol</span></span></span>. At any point, the current protocol can be changed using a corresponding
-setting command. Finally, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@invokecurrentprotocol</span></span></span> is used to insert the protocoled commands
-into the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file.
-<!--l. 28--><p class="indent"> Only those <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@</span></span></span> commands can be protocolled that use the command <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@literal</span></span></span> interally.
-For example, the definition of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@moveto</span></span></span> in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-pdf.def</span></span></span> is
-<!--l. 31--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-584-" ><colgroup id="TBL-584-1g"><col
-id="TBL-584-1"></colgroup><tr
- valign="baseline" id="TBL-584-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-584-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\def\pgfsys@moveto#1#2{\pgfsysprotocol@literal{#1</span><span
-class="cmtt-8">&nbsp;#2</span><span
-class="cmtt-8">&nbsp;m}}</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 34--><p class="indent"> All &#8220;normal&#8221; system-level commands can be protocolled. However, commands for creating or invoking shadings,
-images, or whole pictures require special <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span>&#8217;s and cannot be protocolled.
-<!--l. 38--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox476"><span
-class="cmtt-10">\pgfsysprotocol@literalbuffered</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literal text</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328001"></a>
- <!--l. 39--><p class="noindent">Adds the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literal text</span><span
-class="cmsy-10">&gt; </span>to the current protocol, after it has been &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\edef</span></span></span>ed.&#8221; This command will always
- protocol. </dd></dl>
-<!--l. 43--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox477"><span
-class="cmtt-10">\pgfsysprotocol@literal</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literal text</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328002"></a>
- <!--l. 44--><p class="noindent">First calls <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@literalbuffered</span></span></span> on <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literal text</span><span
-class="cmsy-10">&gt;</span>. Then, if protocolling is currently
- switched off, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">literal text</span><span
-class="cmsy-10">&gt; </span>is passed on to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsys@invoke</span></span></span>. </dd></dl>
-<!--l. 49--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox478"><span
-class="cmtt-10">\pgfsysprotocol@bufferedtrue</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328003"></a>
- <!--l. 50--><p class="noindent">Turns on protocolling. All subsequent calls of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@literal</span></span></span> will append their argument
- to the current protocol. </dd></dl>
-<!--l. 55--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox479"><span
-class="cmtt-10">\pgfsysprotocol@bufferedfalse</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328004"></a>
- <!--l. 56--><p class="noindent">Turns off protocolling. Subsequent calls of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@literal</span></span></span> directly insert their argument
- into the current <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span>.
- <!--l. 60--><p class="noindent">Note that if the current protocol is not empty when protocolling is switched off, the next call to
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysprotocol@literal</span></span></span> will first flush the current protocol, that is, insert it into the file. </dd></dl>
-<!--l. 65--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox480"><span
-class="cmtt-10">\pgfsysprotocol@getcurrentprotocol</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328005"></a>
- <!--l. 66--><p class="noindent">Stores the current protocol in <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt; </span>for later use. </dd></dl>
-<!--l. 69--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox481"><span
-class="cmtt-10">\pgfsysprotocol@setcurrentprotocol</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328006"></a>
- <!--l. 70--><p class="noindent">Sets the current protocol to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">macro name</span><span
-class="cmsy-10">&gt;</span>. </dd></dl>
-<!--l. 73--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox482"><span
-class="cmtt-10">\pgfsysprotocol@invokecurrentprotocol</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328007"></a>
- <!--l. 74--><p class="noindent">Inserts the text stored in the current protocol into the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span> file. This does <span
-class="cmti-10">not </span>change the
- current protocol. </dd></dl>
-<!--l. 78--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox483"><span
-class="cmtt-10">\pgfsysprotocol@flushcurrentprotocol</span></span> </dt><dd
-class="description">
-<a
- id="dx36-328008"></a>
- <!--l. 79--><p class="noindent">First inserts the current protocol, then sets the current protocol to the empty string. </dd></dl>
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse34.html" >prev</a>] [<a
-href="pgfmanualse34.html#tailpgfmanualse34.html" >prev-tail</a>] [<a
-href="pgfmanualse35.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse35.html" >up</a>] </p></div>
-<!--l. 319--><p class="indent"> <a
- id="tailpgfmanualse35.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>4 Guidelines on Graphics</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse5.html" >next</a>] [<a
-href="pgfmanualse3.html" >prev</a>] [<a
-href="pgfmanualse3.html#tailpgfmanualse3.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse4.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse4.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">4 </span> <a
- id="x5-460004"></a>Guidelines on Graphics</h3>
-<!--l. 12--><p class="noindent">The present section is not about <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;or Ti<span
-class="cmti-10">k</span>Z, but about general guidelines and principles concerning the creation
-of graphics for scientific presentations, papers, and books.
-<!--l. 16--><p class="indent"> The guidelines in this section come from different sources. Many of them are just what I would like to claim is
-&#8220;common sense,&#8221; some reflect my personal experience (though, hopefully, not my personal preferences), some come
-from books (the bibliography is still missing, sorry) on graphic design and typography. The most influential
-source are the brilliant books by Edward Tufte. While I do not agree with everything written in these
-books, many of Tufte&#8217;s arguments are so convincing that I decided to repeat them in the following
-guidelines.
-<!--l. 29--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.1 </span> <a
- id="x5-470004.1"></a>Should You Follow Guidelines?</h4>
-<!--l. 31--><p class="noindent">The first thing you should ask yourself when someone presents a bunch of guidelines is: Should I really follow
-these guidelines? This is an important questions, because there are good reasons not to follow general
-guidelines.
- <ul class="itemize1">
- <li class="itemize">The person who setup the guidelines may have had other objectives than you do. For example, a
- guideline might say &#8220;use the color red for emphasis.&#8221; While this guideline makes perfect sense for, say,
- a presentation using a projector, red &#8220;color&#8221; has the <span
-class="cmti-10">opposite </span>effect of &#8220;emphasis&#8221; when printed using
- a black-and-white printer.
- <!--l. 44--><p class="noindent">Guidelines were almost always setup to address a specific situation. If you are not in this situation,
- following a guideline can do more harm than good.
- </li>
- <li class="itemize">The basic rule of typography is: &#8220;Every rule can be broken, as long as you are <span
-class="cmti-10">aware </span>that you are
- breaking a rule.&#8221; This rule also applies to graphics. Phrased differently, the basic rule states: &#8220;The only
- mistakes in typography are things done is ignorance.&#8221;
- <!--l. 54--><p class="noindent">When you are aware of a rule and when you decide that breaking the rule has a desirable effect, break
- the rule.
- </li>
- <li class="itemize">Some guidelines are simply <span
-class="cmti-10">wrong</span>, but everyone follows them out of tradition or is forced to do so.
- My favorite example is a guideline a software company I used to work for has set in a big project:
- All programmers had to declare the parameters of functions in <span
-class="cmti-10">increasing order of size</span>. So, one-byte
- parameters should come first, then two-byte parameters, and so on.
- <!--l. 64--><p class="noindent">This guideline is total nonsense. An (arguably) sensible guideline is &#8220;parameters must be declared
- alphabetically&#8221; so that parameters are easier to find. Another (arguably) sensible guideline is
- &#8220;parameters must be declared in decreasing order of size&#8221; so that less byte-alignment cache misses
- occur when the stack is accessed. The guideline the company used maximized cache misses and resulted
- in a more or less random ordering so that programmers constantly had to look up the parameter
- ordering.</li></ul>
-<!--l. 74--><p class="indent"> So, before you apply a guideline or choose not to apply it, ask yourself these questions:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x5-47002x1"></a>Does this guideline really address my situation?
- </li>
- <li class="enumerate" value="2"
-><a
- id="x5-47004x2"></a>If you do the opposite a guideline says you should do, will the advantages outweigh the disadvantages
- this guideline was supposed to prevent?</li></ol>
-
-
-<!--l. 87--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.2 </span> <a
- id="x5-480004.2"></a>Planning the Time Needed for the Creation of Graphics</h4>
-<!--l. 89--><p class="noindent">When you create a paper with numerous graphics, the time needed to create these graphics becomes an important
-factor. How much time should you calculate for the creation of graphics?
-<!--l. 93--><p class="indent"> As a general rule, assume that a graphic will need as much time to create as would a text of the same length. For
-example, when I write a paper, I need about one hour per page for the first draft. Later, I need between two and
-four hours per page for revisions. Thus, I expect to need about half an hour for the creation of <span
-class="cmti-10">a first</span>
-<span
-class="cmti-10">draft </span>of a half page graphic. Later on, I expect another one to two hours before the final graphic is
-finished.
-<!--l. 101--><p class="indent"> In many publications, even in good journals, the authors and editors have obviously invested a lot of time on the
-text, but seem to have spend about five minutes to create all of the graphics. Graphics often seem to have been
-added as an &#8220;afterthought&#8221; or look like a screen shot of whatever the authors&#8217;s statistical software shows them. As
-will be argued later on, the graphics that programs like <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>produce by default are of poor
-quality.
-<!--l. 110--><p class="indent"> Creating informative graphics that help the reader and that fit together with the main text is a difficult, lengthy
-process.
- <ul class="itemize1">
- <li class="itemize">Treat graphics as first-class citizens of your papers. They deserve as much time and energy as the text
- does.
- </li>
- <li class="itemize">Arguably, the creation of graphics deserves <span
-class="cmti-10">even more </span>time than the writing of the main text since
- more attention will be paid to the graphics and they will be looked at first.
- </li>
- <li class="itemize">Plan as much time for the creation and revision of a graphic as you would plan for text of the same
- size.
- </li>
- <li class="itemize">Difficult graphics with a high information density may require even more time.
- </li>
- <li class="itemize">Very simple graphics will require less time, but most likely you do not want to have &#8220;very simple
- graphics&#8221; in your paper, anyway; just as you would not like to have a &#8220;very simple text&#8221; of the same
- size.</li></ul>
-<!--l. 135--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.3 </span> <a
- id="x5-490004.3"></a>Workflow for Creating a Graphic</h4>
-<!--l. 137--><p class="noindent">When you write a (scientific) paper, you will most likely follow the following pattern: You have some
-results/ideas that you would like to report about. The creation of the paper will typically start with
-compiling a rough outline. Then, the different sections are filled with text to create a first draft. This
-draft is then revised repeatedly until, often after substantial revision, a final paper results. In a good
-journal paper there is typically not be a single sentence that has survived unmodified from the first
-draft.
-<!--l. 146--><p class="indent"> Creating a graphics follows the same pattern:
- <ul class="itemize1">
- <li class="itemize">Decide on what the graphic should communicate. Make this a conscious decision, that is, determine
- &#8220;What is the graphic supposed to tell the reader?&#8221;
- </li>
- <li class="itemize">Create an &#8220;outline,&#8221; that is, the rough overall &#8220;shape&#8221; of the graphic, containing the most crucial
- elements. Often, it is useful to do this using pencil and paper.
- </li>
- <li class="itemize">Fill out the finer details of the graphic to create a first draft.
- </li>
- <li class="itemize">Revise the graphic repeatedly along with the rest of the paper.</li></ul>
-
-
-<!--l. 166--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.4 </span> <a
- id="x5-500004.4"></a>Linking Graphics With the Main Text</h4>
-<!--l. 168--><p class="noindent">Graphics can be placed at different places in a text. Either, they can be inlined, meaning they are
-somewhere &#8220;in the middle of the text&#8221; or they can be placed in standalone &#8220;figures.&#8221; Since printers
-(the people) like to have their pages &#8220;filled,&#8221; (both for aesthetic and economic reasons) standalone
-figures may traditionally be placed on pages in the document far removed from the main text that
-refers to them. <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;and <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;tend to encourage this &#8220;drifting away&#8221; of graphics for technical
-reasons.
-<!--l. 177--><p class="indent"> When a graphic is inlined, it will more or less automatically be linked with the main text in the sense that the
-labels of the graphic will be implicitly explained by the surrounding text. Also, the main text will typically make it
-clear what the graphic is about and what is shown.
-<!--l. 183--><p class="indent"> Quite differently, a standalone figure will often be viewed at a time when the main text that this graphic belongs
-to either has not yet been read or has been read some time ago. For this reason, you should follow the following
-guidelines when creating standalone figures:
- <ul class="itemize1">
- <li class="itemize">Standalone figures should have a caption than should make them &#8220;understandable by themselves.&#8221;
- <!--l. 192--><p class="noindent">For example, suppose a graphic shows an example of the different stages of a quicksort algorithm. Then
- the figure&#8217;s caption should, at the very least, inform the reader that &#8220;The figure shows the different
- stages of the quicksort algorithm introduced on page xyz.&#8221; and not just &#8220;Quicksort algorithm.&#8221;
- </li>
- <li class="itemize">A good caption adds as much context information as possible. For example, you could say: &#8220;The figure
- shows the different stages of the quicksort algorithm introduced on page xyz. In the first line, the pivot
- element 5 is chosen. This causes...&#8221; While this information can also be given in the main text, putting
- it in the caption will ensure that the context is kept. Do not feel afraid of a 5-line caption. (Your editor
- may hate you for this. Consider hating them back.)
- </li>
- <li class="itemize">Reference the graphic in your main text as in &#8220;For an example of quicksort &#8216;in action,&#8217; see Figure&nbsp;2.1
- on page xyz.&#8221;
- </li>
- <li class="itemize">Most books on style and typography recommend that you do not use abbreviations as in &#8220;Fig.&nbsp;2.1&#8221;
- but write &#8220;Figure 2.1.&#8221;
- <!--l. 213--><p class="noindent">The main argument against abbreviations is that &#8220;a period is too valuable to waste it on an
- abbreviation.&#8221; The idea is that a period will make the reader assume that the sentence ends after &#8220;Fig&#8221;
- and it takes a &#8220;conscious backtracking&#8221; to realize that the sentence did not end after all.
- <!--l. 219--><p class="noindent">The argument in favor of abbreviations is that they save space.
- <!--l. 221--><p class="noindent">Personally, I am not really convinced by either argument. On the one hand, I have not yet seen any
- hard evidence that abbreviations slow readers down. On the other hand, abbreviating all &#8220;Figure&#8221; by
- &#8220;Fig.&#8221;&nbsp;is most unlikely to save even a single line in most documents.
- <!--l. 227--><p class="noindent">I avoid abbreviations.</li></ul>
-<!--l. 232--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.5 </span> <a
- id="x5-510004.5"></a>Consistency Between Graphics and Text</h4>
-<!--l. 234--><p class="noindent">Perhaps the most common &#8220;mistake&#8221; people do when creating graphics (remember that a &#8220;mistake&#8221; in design is
-always just &#8220;ignorance&#8221;) is to have a mismatch between the way their graphics look and the way their text
-looks.
-<!--l. 239--><p class="indent"> It is quite common that authors use several different programs for creating the graphics of a paper. An author
-might produce some plots using <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small></span>, a diagram using <span
-class="cmcsc-10"><small
-class="small-caps">X</small><small
-class="small-caps">F</small><small
-class="small-caps">I</small><small
-class="small-caps">G</small></span>, and include an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.eps</span></span></span> graphic a coauthor
-contributed using some unknown program. All these graphics will, most likely, use different line widths, different
-fonts, and have different sizes. In addition, authors often use options like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[height=5cm]</span></span></span> when including graphics to
-scale them to some &#8220;nice size.&#8221;
-
-
-<!--l. 248--><p class="indent"> If the same approach were taken to writing the main text, every section would be written in a different font at a
-different size. In some sections all theorems would be underlined, in another they would be printed
-all in uppercase letters, and in another in red. In addition, the margins would be different on each
-page.
-<!--l. 254--><p class="indent"> Readers and editors would not tolerate a text if it were written in this fashion, but with graphics they often have
-to.
-<!--l. 257--><p class="indent"> To create consistency between graphics and text, stick to the following guidelines:
- <ul class="itemize1">
- <li class="itemize">Do not scale graphics.
- <!--l. 263--><p class="noindent">This means that when generating graphics using an external program, create them &#8220;at the right size.&#8221;
- </li>
- <li class="itemize">Use the same font(s) both in graphics and the body text.
- </li>
- <li class="itemize">Use the same line width in text and graphics.
- <!--l. 270--><p class="noindent">The &#8220;line width&#8221; for normal text is the width of the stem of letters like T. For <span class="TEX">T<span
-class="E">E</span>X</span>, this is usually
- 0<span
-class="cmmi-10">.</span>4pt. However, some journals will not accept graphics with a normal line width below 0<span
-class="cmmi-10">.</span>5pt.
- </li>
- <li class="itemize">When using colors, use a consistent color coding in the text and in graphics. For example, if red is
- supposed to alert the reader to something in the main text, use red also in graphics for important parts
- of the graphic. If blue is used for structural elements like headlines and section titles, use blue also for
- structural elements of your graphic.
- <!--l. 282--><p class="noindent">However, graphics may also use a logical intrinsic color coding. For example, no matter what colors
- you normally use, readers will generally assume, say, that the color green as &#8220;positive, go, ok&#8221; and red
- as &#8220;alert, warning, action.&#8221;</li></ul>
-<!--l. 288--><p class="indent"> Creating consistency when using different graphic programs is almost impossible. For this reason, you should
-consider sticking to a single graphic program.
-<!--l. 293--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.6 </span> <a
- id="x5-520004.6"></a>Labels in Graphics</h4>
-<!--l. 295--><p class="noindent">Almost all graphics will contain labels, that is, pieces of text that explain parts of the graphics. When placing labels,
-stick to the following guidelines:
- <ul class="itemize1">
- <li class="itemize">Follow the rule of consistency when placing labels. You should do so in two ways: First, be consistent
- with the main text, that is, use the same font as the main text also for labels. Second, be consistent
- between labels, that is, if you format some labels in some particular way, format all labels in this way.
- </li>
- <li class="itemize">In addition to using the same fonts in text and graphics, you should also use the same notation. For
- example, if you write 1<span
-class="cmmi-10">/</span>2 in your main text, also use &#8220;1<span
-class="cmmi-10">/</span>2&#8221; as labels in graphics, not &#8220;0.5&#8221;. A <span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" /> </span>is a
- &#8220;<span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" /></span>&#8221; and not &#8220;3<span
-class="cmmi-10">.</span>141&#8221;. Finally, e<sup ><span
-class="cmsy-7">-</span><span
-class="cmr-7">i</span><span
-class="cmmi-7"><img
-src="cmmi7-19.png" alt="p" class="7x-x-19" /></span></sup> is &#8220;e<sup ><span
-class="cmsy-7">-</span><span
-class="cmr-7">i</span><span
-class="cmmi-7"><img
-src="cmmi7-19.png" alt="p" class="7x-x-19" /></span></sup>&#8221;, not &#8220;<span
-class="cmsy-10">-</span>1&#8221;, let alone &#8220;-1&#8221;.
- </li>
- <li class="itemize">Labels should be legible. They should not only have a reasonably large size, they also should not be
- obscured by lines or other text. This also applies to of lines and text <span
-class="cmti-10">behind </span>the labels.
- </li>
- <li class="itemize">Labels should be &#8220;in place.&#8221; Whenever there is enough space, labels should be placed next to the
- thing they label. Only if necessary, add a (subdued) line from the label to the labeled object. Try to
- avoid labels that only reference explanations in external legends. Reader have to jump back and forth
- between the explanation and the object that is described.
- </li>
- <li class="itemize">Consider subduing &#8220;unimportant&#8221; labels using, for example, a gray color. This will keep the focus on
- the actual graphic.</li></ul>
-
-
-<!--l. 332--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.7 </span> <a
- id="x5-530004.7"></a>Plots and Charts</h4>
-<!--l. 334--><p class="noindent">One of the most frequent kind of graphics, especially in scientific papers, are <span
-class="cmti-10">plots</span>. They come in a large
-variety, including simple line plots, parametric plots, three dimensional plots, pie charts, and many
-more.
-<!--l. 339--><p class="indent"> Unfortunately, plots are notoriously hard to get right. Partly, the default settings of programs like
-<span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>or Excel are to blame for this since these programs make it very convenient to create bad
-plots.
-<!--l. 344--><p class="indent"> The first question you should ask yourself when creating a plot is the following:
- <ul class="itemize1">
- <li class="itemize">Are there enough data points to merit a plot?</li></ul>
-<!--l. 351--><p class="indent"> If the answer is &#8220;not really,&#8221; use a table.
-<!--l. 353--><p class="indent"> A typical situation where a plot is unnecessary is when people present a few numbers in a bar diagram. Here is a
-real-life example: At the end of a seminar a lecturer asked the participants for feedback. Of the 50 participants, 30
-returned the feedback form. According to the feedback, three participants considered the seminar &#8220;very good,&#8221;
-nine considered it &#8220;good,&#8221; ten &#8220;ok,&#8221; eight &#8220;bad,&#8221; and no one thought that the seminar was &#8220;very
-bad.&#8221;
-<!--l. 361--><p class="indent"> A simple way of summing up this information is the following table:
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-63-" ><colgroup id="TBL-63-1g"><col
-id="TBL-63-1"><col
-id="TBL-63-2"><col
-id="TBL-63-3"></colgroup><tr
- valign="baseline" id="TBL-63-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-1-1"
-class="td11"> <span
-class="cmti-10">Rating given </span></td><td align="left" id="TBL-63-1-2"
-class="td11"> <!--l. 365--><p class="noindent"><span
-class="cmti-10">Participants</span>
- <span
-class="cmti-10">(out</span>
- <span
-class="cmti-10">of</span>
- <span
-class="cmti-10">50)</span>
- <span
-class="cmti-10">who</span>
- <span
-class="cmti-10">gave</span>
- <span
-class="cmti-10">this</span>
- <span
-class="cmti-10">rating</span> </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-1-3"
-class="td11"> <span
-class="cmti-10">Percentage </span></td>
-</tr><tr
-class="vspace" style="font-size:17.50002pt"><td
->&nbsp;</td><td
->&nbsp;</td><td
->&nbsp;</td></tr><tr
- valign="baseline" id="TBL-63-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-2-1"
-class="td11"> &#8220;very good&#8221; </td><td align="left" id="TBL-63-2-2"
-class="td11"> <!--l. 367--><p class="noindent"> 3 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-2-3"
-class="td11"> 6% </td>
-</tr><tr
- valign="baseline" id="TBL-63-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-3-1"
-class="td11"> &#8220;good&#8221; </td><td align="left" id="TBL-63-3-2"
-class="td11"> <!--l. 368--><p class="noindent"> 9 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-3-3"
-class="td11"> 18% </td>
-</tr><tr
- valign="baseline" id="TBL-63-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-4-1"
-class="td11"> &#8220;ok&#8221; </td><td align="left" id="TBL-63-4-2"
-class="td11"> <!--l. 369--><p class="noindent"> 10 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-4-3"
-class="td11"> 20% </td>
-</tr><tr
- valign="baseline" id="TBL-63-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-5-1"
-class="td11"> &#8220;bad&#8221; </td><td align="left" id="TBL-63-5-2"
-class="td11"> <!--l. 370--><p class="noindent"> 8 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-5-3"
-class="td11"> 16% </td>
-</tr><tr
- valign="baseline" id="TBL-63-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-6-1"
-class="td11"> &#8220;very bad&#8221; </td><td align="left" id="TBL-63-6-2"
-class="td11"> <!--l. 371--><p class="noindent"> 0 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-6-3"
-class="td11"> 0% </td>
-</tr><tr
-class="vspace" style="font-size:5.69054pt"><td
->&nbsp;</td><td
->&nbsp;</td><td
->&nbsp;</td></tr><tr
- valign="baseline" id="TBL-63-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-7-1"
-class="td11"> none </td><td align="left" id="TBL-63-7-2"
-class="td11"> <!--l. 372--><p class="noindent"> 20 </td><td align="right" style="white-space:nowrap; text-align:right;" id="TBL-63-7-3"
-class="td11"> 40% </td>
-</tr><tr
- valign="baseline" id="TBL-63-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-63-8-1"
-class="td11"> </td> </tr></table>
-</div>
-<!--l. 376--><p class="indent"> What the lecturer did was to visualize the data using a 3D bar diagram. It looked like this:
-<!--l. 400--><p class="indent"> <object data="pgfmanual-60.svg" width="269.42331 " height="193.05234 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-<!--l. 403--><p class="indent"> Both the table and the &#8220;plot&#8221; have about the same size. If your first thought is &#8220;the graphic looks nicer
-than the table,&#8221; try to answer the following questions based on the information in the table or in the
-graphic:
-
-
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x5-53002x1"></a>How many participants where there?
- </li>
- <li class="enumerate" value="2"
-><a
- id="x5-53004x2"></a>How many participants returned the feedback form?
- </li>
- <li class="enumerate" value="3"
-><a
- id="x5-53006x3"></a>What percentage of the participants returned the feedback form?
- </li>
- <li class="enumerate" value="4"
-><a
- id="x5-53008x4"></a>How many participants checked &#8220;very good&#8221;?
- </li>
- <li class="enumerate" value="5"
-><a
- id="x5-53010x5"></a>What percentage out of all participants checked &#8220;very good&#8221;?
- </li>
- <li class="enumerate" value="6"
-><a
- id="x5-53012x6"></a>Did more than a quarter of the participants check &#8220;bad&#8221; or &#8220;very bad&#8221;?
- </li>
- <li class="enumerate" value="7"
-><a
- id="x5-53014x7"></a>What percentage of the participants that returned the form checked &#8220;very good&#8221;?</li></ol>
-<!--l. 424--><p class="indent"> Sadly, the graphic does not allow us to answer <span
-class="cmti-10">a single one of these questions</span>. The table answers all of them
-directly, except for the last one. In essence, the information density of the graphic is very nearly zero. The table has
-a much higher information density; despite the fact that it uses quite a lot of white space to present a few
-numbers.
-<!--l. 430--><p class="indent"> Here is the list of things that went wrong with the 3D-bar diagram:
- <ul class="itemize1">
- <li class="itemize">The whole graphic is dominated by irritating background lines.
- </li>
- <li class="itemize">It is not clear what the numbers at the left mean; presumably percentages, but it might also be the
- absolute number of participants.
- </li>
- <li class="itemize">The labels at the bottom are rotated, making them hard to read.
- <!--l. 441--><p class="noindent">(In the real presentation that I saw, the text was rendered at a very low resolution with about 10 by
- 6 pixels per letter with wrong kerning, making the rotated text almost impossible to read.)
- </li>
- <li class="itemize">The third dimension adds complexity to the graphic without adding information.
- </li>
- <li class="itemize">The three dimensional setup makes it much harder to gauge the height of the bars correctly. Consider
- the &#8220;bad&#8221; bar. It the number this bar stands for more than 20 or less? While the front of the bar is
- below the 20 line, the back of the bar (which counts) is above.
- </li>
- <li class="itemize">It is impossible to tell which numbers are represented by the bars. Thus, the bars needlessly hide the
- information these bars are all about.
- </li>
- <li class="itemize">What do the bar heights add up to? Is it 100% or 60%?
- </li>
- <li class="itemize">Does the bar for &#8220;very bad&#8221; represent 0 or&nbsp;1?
- </li>
- <li class="itemize">Why are the bars blue?</li></ul>
-<!--l. 464--><p class="indent"> You might argue that in the example the exact numbers are not important for the graphic. The important things
-is the &#8220;message,&#8221; which is that there are more &#8220;very good&#8221; and &#8220;good&#8221; ratings than &#8220;bad&#8221; and &#8220;very bad.&#8221;
-However, to convey this message either use a sentence that says so or use a graphic that conveys this message more
-clearly:
-
-
-<!--l. 503--><p class="indent"> <object data="pgfmanual-61.svg" width="424.91754 " height="224.69525 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-<!--l. 506--><p class="indent"> The above graphic has about the same information density as the table (about the same size and the same
-numbers are shown). In addition, one can directly &#8220;see&#8221; that there are more good or very good ratings than bad
-ones. One can also &#8220;see&#8221; that the number of people who gave no rating at all is not negligible, which is quite
-common for feedback forms.
-<!--l. 513--><p class="indent"> Charts are not always a good idea. Let us look at an example that I redrew from a pie chart in <span
-class="cmti-10">Die Zeit</span>, June
-4th, 2005:
-<!--l. 606--><p class="indent"> <object data="pgfmanual-62.svg" width="595.82195 " height="237.71802 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
-<!--l. 608--><p class="indent"> This graphic has been redrawn in Ti<span
-class="cmti-10">k</span>Z, but the original looks very similar.
-<!--l. 611--><p class="indent"> At first sight, the graphic looks &#8220;nice and informative,&#8221; but there are a lot of things that went
-wrong:
- <ul class="itemize1">
- <li class="itemize">The chart is three dimensional. However, the shadings add nothing &#8220;information-wise,&#8221; at best, they
- distract.
- </li>
- <li class="itemize">In a 3D-pie-chart the relative sizes are very strongly distorted. For example, the area taken up by the
- gray color of &#8220;Braunkohle&#8221; is larger than the area taken up by the green color of &#8220;Kernenergie&#8221; <span
-class="cmti-10">despite</span>
- <span
-class="cmti-10">the fact that the percentage of Braunkohle is less than the percentage of Kernenergie</span>.
- </li>
- <li class="itemize">The 3D-distortion gets worse for small areas. The area of &#8220;Regenerative&#8221; somewhat larger than the
- area of &#8220;Erdgas.&#8221; The area of &#8220;Wind&#8221; is slightly smaller than the area of &#8220;Mineral&ouml;lprodukte&#8221; <span
-class="cmti-10">although</span>
- <span
-class="cmti-10">the percentage of Wind is nearly three times larger than the percentage of Mineral</span><span
-class="cmti-10">&ouml;lprodukte.</span>
-
-
- <!--l. 632--><p class="noindent">In the last case, the different sizes are only partly due to distortion. The designer(s) of the original
- graphic have also made the &#8220;Wind&#8221; slice too small, even taking distortion into account. (Just compare
- the size of &#8220;Wind&#8221; to &#8220;Regenerative&#8221; in general.)
- </li>
- <li class="itemize">According to its caption, this chart is supposed to inform us that coal was the most important energy
- source in Germany in 2004. Ignoring the strong distortions caused by the superfluous and misleading
- 3D-setup, it takes quite a while for this message to get across.
- <!--l. 644--><p class="noindent">Coal as an energy source is split up into two slices: one for &#8220;Steinkohle&#8221; and one for &#8220;Braunkohle&#8221; (two
- different kinds of coal). When you add them up, you see that the whole lower half of the pie chart is
- taken up by coal.
- <!--l. 649--><p class="noindent">The two areas for the different kinds of coal are not visually linked at all. Rather, two different colors
- are used, the labels are on different sides of the graphic. By comparison, &#8220;Regenerative&#8221; and &#8220;Wind&#8221;
- are very closely linked.
- </li>
- <li class="itemize">The color coding of the graphic follows no logical pattern at all. Why is nuclear energy green?
- Regenerative energy is light blue, &#8220;other sources&#8221; are blue. It seems more like a joke that the area for
- &#8220;Braunkohle&#8221; (which literally translates to &#8220;brown coal&#8221;) is stone gray, while the area for &#8220;Steinkohle&#8221;
- (which literally translates to &#8220;stone coal&#8221;) is brown.
- </li>
- <li class="itemize">The area with the lightest color is used for &#8220;Erdgas.&#8221; This area stands out most because of the brighter
- color. However, for this chart &#8220;Erdgas&#8221; is not really important at all.</li></ul>
-<!--l. 665--><p class="noindent">Edward Tufte calls graphics like the above &#8220;chart junk.&#8221;
-<!--l. 667--><p class="indent"> Here are a few recommendations that may help you avoid producing chart junk:
- <ul class="itemize1">
- <li class="itemize">Do not use 3D pie charts. They are <span
-class="cmti-10">evil</span>.
- </li>
- <li class="itemize">Consider using a table instead of a pie chart.
- </li>
- <li class="itemize">Due not apply colors randomly; use them to direct the readers&#8217;s focus and to group things.
- </li>
- <li class="itemize">Do not use background patterns, like a crosshatch or diagonal lines, instead of colors. They distract.
- Background patterns in information graphics are <span
-class="cmti-10">evil</span>.</li></ul>
-<!--l. 684--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">4.8 </span> <a
- id="x5-540004.8"></a>Attention and Distraction</h4>
-<!--l. 686--><p class="noindent">Pick up your favorite fiction novel and have a look at a typical page. You will notice that the page is very uniform.
-Nothing is there to distract the reader while reading; no large headlines, no bold text, no large white areas. Indeed,
-even when the author does wish to emphasize something, this is done using italic letters. Such letters blend nicely
-with the main text--at a distance you will not be able to tell whether a page contains italic letters, but you would
-notice a single bold word immediately. The reason novels are typeset this way is the following paradigm: Avoid
-distractions.
-<!--l. 696--><p class="indent"> Good typography (like good organization) is something you do <span
-class="cmti-10">not </span>notice. The job of typography is to make
-reading the text, that is, &#8220;absorbing&#8221; its information content, as effortless as possible. For a novel, readers absorb
-the content by reading the text line-by-line, as if they were listening to someone telling the story. In this situation
-anything on the page that distracts the eye from going quickly and evenly from line to line will make the text harder
-to read.
-<!--l. 705--><p class="indent"> Now, pick up your favorite weekly magazine or newspaper and have a look at a typical page. You will notice that
-there is quite a lot &#8220;going on&#8221; on the page. Fonts are used at different sizes and in different arrangements, the text is
-organized in narrow columns, typically interleaved with pictures. The reason magazines are typeset in this way is
-another paradigm: Steer attention.
-
-
-<!--l. 713--><p class="indent"> Readers will not read a magazine like a novel. Instead of reading a magazine line-by-line, we use headlines and
-short abstracts to check whether we want to read a certain article or not. The job of typography is to steer our
-attention to these abstracts and headlines, first. Once we have decided that we want to read an article, however, we
-no longer tolerate distractions, which is why the main text of articles is typeset exactly the same way as a
-novel.
-<!--l. 721--><p class="indent"> The two principles &#8220;avoid distractions&#8221; and &#8220;steer attention&#8221; also apply to graphics. When you design a graphic,
-you should eliminate everything that will &#8220;distract the eye.&#8221; At the same time, you should try to
-actively help the reader &#8220;through the graphic&#8221; by using fonts/colors/line widths to highlight different
-parts.
-<!--l. 727--><p class="indent"> Here is a non-exhaustive list of things that can distract readers:
- <ul class="itemize1">
- <li class="itemize">Strong contrasts will always be registered first by the eye. For example, consider the following two
- grids:
- <!--l. 737--><p class="noindent"><object data="pgfmanual-63.svg" width="161.5327 " height="54.86644 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
- <!--l. 740--><p class="noindent">Even though the left grid comes first in our normal reading order, the right one is much more likely to be seen
- first: The white-to-black contrast is higher than the gray-to-white contrast. In addition, there are more
- &#8220;places&#8221; adding to the overall contrast in the right grid.
- <!--l. 746--><p class="noindent">Things like grids and, more generally, help lines usually should not grab the attention of the readers and,
- hence, should be typeset with a low contrast to the background. Also, a loosely-spaced grid is less distracting
- than a very closely-spaced grid.
- </li>
- <li class="itemize">Dashed lines create many points at which there is black-to-white contrast. Dashed or dotted lines can be very
- distracting and, hence, should be avoided in general.
- <!--l. 755--><p class="noindent">Do not use different dashing patterns to differentiate curves in plots. You loose data points this way and the
- eye is not particularly good at &#8220;grouping things according to a dashing pattern.&#8221; The eye is <span
-class="cmti-10">much </span>better at
- grouping things according to colors.
- </li>
- <li class="itemize">Background patterns filling an area using diagonal lines or horizontal and vertical lines or just dots are almost
- always distracting and, usually, serve no real purpose.
- </li>
- <li class="itemize">Background images and shadings distract and only seldom add anything of importance to a
- graphic.
- </li>
- <li class="itemize">Cute little cliparts can easily draw attention away from the data.</li></ul>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse5.html" >next</a>] [<a
-href="pgfmanualse3.html" >prev</a>] [<a
-href="pgfmanualse3.html#tailpgfmanualse3.html" >prev-tail</a>] [<a
-href="pgfmanualse4.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse4.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse4.html"></a>
-</body></html>
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>5 Input and Output Formats</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse4.html" >prev</a>] [<a
-href="pgfmanualse4.html#tailpgfmanualse4.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse5.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse5.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">5 </span> <a
- id="x6-550005"></a>Input and Output Formats</h3>
-<!--l. 12--><p class="noindent"><span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;was designed to be a flexible system. This is true both for the <span
-class="cmti-10">input </span>for <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;as well as for the <span
-class="cmti-10">output</span>. The
-present section explains which input formats there are and how they are supported by <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>. It also explains which
-different output formats can be produced.
-<!--l. 20--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">5.1 </span> <a
- id="x6-560005.1"></a>Supported Input Formats</h4>
-<!--l. 22--><p class="noindent"><span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;does not prescribe exactly how your input should be formatted. While it is <span
-class="cmti-10">customary </span>that,
-say, an opening brace starts a scope in <span class="TEX">T<span
-class="E">E</span>X</span>, this is by no means necessary. Likewise, it is <span
-class="cmti-10">customary</span>
-that environments start with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\begin</span></span></span>, but <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;could not really care less about the exact command
-name.
-<!--l. 28--><p class="indent"> Even though <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;can be reconfigured, users can not. For this reason, certain <span
-class="cmti-10">input formats </span>specify a set of
-commands and conventions how input for <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;should be formatted. There are currently three &#8220;major&#8221; formats:
-Donald Knuth&#8217;s original <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plain</span></span></span> <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;format, Leslie Lamport&#8217;s popular <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;format, and Hans Hangen&#8217;s
-Con<span class="TEX">T<span
-class="E">E</span>X</span>t format.
-<!--l. 36--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.1.1 </span> <a
- id="x6-570005.1.1"></a>Using the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;Format</h5>
-<!--l. 38--><p class="noindent">Using <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z&nbsp;with the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;format is easy: You say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{pgf}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{tikz}</span></span></span>.
-Usually, that is all you need to do, all configuration will be done automatically and (hopefully) correctly.
-<!--l. 43--><p class="indent"> The style files used for the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;format reside in the subdirectory <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex/pgf/</span></span></span> of the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>-system. Mainly,
-what these files do is to include files in the directory <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">generic/pgf</span></span></span>. For example, here is the content of the file
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex/pgf/frontends/tikz.sty</span></span></span>:
-<!--l. 48--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-64-" ><colgroup id="TBL-64-1g"><col
-id="TBL-64-1"></colgroup><tr
- valign="baseline" id="TBL-64-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-64-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;Copyright</span><span
-class="cmsltt-10x-x-80">&nbsp;2005</span><span
-class="cmsltt-10x-x-80">&nbsp;by</span><span
-class="cmsltt-10x-x-80">&nbsp;Till</span><span
-class="cmsltt-10x-x-80">&nbsp;Tantau</span><span
-class="cmsltt-10x-x-80">&nbsp;&lt;tantau@users.sourceforge.net&gt;.</span>
-<br><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;This</span><span
-class="cmsltt-10x-x-80">&nbsp;program</span><span
-class="cmsltt-10x-x-80">&nbsp;can</span><span
-class="cmsltt-10x-x-80">&nbsp;be</span><span
-class="cmsltt-10x-x-80">&nbsp;redistributed</span><span
-class="cmsltt-10x-x-80">&nbsp;and/or</span><span
-class="cmsltt-10x-x-80">&nbsp;modified</span><span
-class="cmsltt-10x-x-80">&nbsp;under</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;terms</span>
-<br><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;of</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;GNU</span><span
-class="cmsltt-10x-x-80">&nbsp;Public</span><span
-class="cmsltt-10x-x-80">&nbsp;License,</span><span
-class="cmsltt-10x-x-80">&nbsp;version</span><span
-class="cmsltt-10x-x-80">&nbsp;2.</span>
-<br>
-<br><span
-class="cmtt-8">\RequirePackage{pgf,calc,pgffor,pgflibraryplothandlers,xkeyval}</span>
-<br>
-<br><span
-class="cmtt-8">\input{tikz.code}</span>
-<br>
-<br><span
-class="cmtt-8">\endinput</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 61--><p class="indent"> The files in the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">generic/pgf</span></span></span> directory do the actual work.
-<!--l. 65--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.1.2 </span> <a
- id="x6-580005.1.2"></a>Using the Plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;Format</h5>
-<!--l. 67--><p class="noindent">When using the plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;format, you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input{pgf.tex}</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input{tikz.tex}</span></span></span>. Instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\begin{pgfpicture}</span></span></span>
-and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\end{pgfpicture}</span></span></span> you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpicture</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\endpicture</span></span></span>.
-<!--l. 71--><p class="indent"> Unlike for the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;format, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;is not as good at discerning the appropriate configuration for the plain
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;format. In particular, it can only automatically determine the correct output format if you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span>
-plus <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>. For all other output formats you need to set the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysdriver</span></span></span> to the correct value. See the
-description of using output formats later on.
-<!--l. 78--><p class="indent"> <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;was originally written for use with <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;and this shows in a number of places. Nevertheless, the plain
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;support is reasonably good.
-<!--l. 82--><p class="indent"> Like the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;style files, the plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;files like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz.tex</span></span></span> also just include the correct <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz.code.tex</span></span></span>
-file.
-
-
-<!--l. 87--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.1.3 </span> <a
- id="x6-590005.1.3"></a>Using the Con<span class="TEX">T<span
-class="E">E</span>X</span>t Format</h5>
-<!--l. 89--><p class="noindent">Currently, there is no special support for the Con<span class="TEX">T<span
-class="E">E</span>X</span>t format. Rather, you have to use <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and Ti<span
-class="cmti-10">k</span>Z&nbsp;as if you
-were using the plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;format when using Con<span class="TEX">T<span
-class="E">E</span>X</span>t. This may change in the future.
-<!--l. 98--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">5.2 </span> <a
- id="x6-600005.2"></a>Supported Output Formats</h4>
-<!--l. 101--><p class="noindent">An output format is a format in which <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;outputs the text it has typeset. Producing the output is (conceptually)
-a two-stage process:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x6-60002x1"></a><span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;typesets your text and graphics. The result of this typesetting is mainly a long list of
- letter-coordinate pairs, plus (possibly) some &#8220;special&#8221; commands. This long list of pairs is written to
- something called a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x6-60004x2"></a>Some other program reads this <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file and translates the letter-coordinate pairs into, say, PostScript
- commands for placing the given letter at the given coordinate.</li></ol>
-<!--l. 115--><p class="indent"> The classical example of this process is the combination of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">latex</span></span></span> program (which is just
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span> program called with the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>-macros preinstalled) produces a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file as its output. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>
-program takes this output and produces a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.ps</span></span></span>-file (a PostScript) file. Possibly, this file is further converted using,
-say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ps2pdf</span></span></span>, whose name is supposed to mean &#8220;PostScript to PDF.&#8221; Another example of programs using this
-process is the combination of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span>. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span> program takes a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file as input and translates the
-letter-coordinate pairs therein into <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>-commands, resulting in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span> file directly. Finally, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex4ht</span></span></span> is also a
-program that takes a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file and produces an output, this time it is a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.html</span></span></span> file. The programs <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span>
-and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> are special: They directly produce a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>-file without the intermediate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-stage.
-However, from the programmer&#8217;s point of view they behave exactly as if there where an intermediate
-stage.
-<!--l. 132--><p class="indent"> Normally, <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;only produces letter-coordinate pairs as its &#8220;output.&#8221; This obviously makes is difficult tho draw,
-say, a curve. For this, &#8220;special&#8221; commands can be used. Unfortunately, these special commands are not the same for
-the different programs that process the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file. Indeed, every program that takes a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file as input has a totally
-different syntax for the special commands.
-<!--l. 140--><p class="indent"> One of the main jobs of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;is to &#8220;abstract way&#8221; the difference in the syntax of the different programs.
-However, this means that support for each program has to be &#8220;programmed,&#8221; which is a time-consuming and
-complicated process.
-<!--l. 146--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.2.1 </span> <a
- id="x6-610005.2.1"></a>Selecting the Backend Driver</h5>
-<!--l. 148--><p class="noindent">When <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;typesets your document, it does not know which program you are going to use to transform the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file. If your <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-file does not contain any special commands, this would be fine; but these days almost all
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-files contain lots of special commands. It is thus necessary to tell <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;which program you are going to use
-later on.
-<!--l. 155--><p class="indent"> Unfortunately, there is no &#8220;standard&#8221; way of telling this to <span class="TEX">T<span
-class="E">E</span>X</span>. For the <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;format a sophisticated
-mechanism exists inside the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphics</span></span></span> package and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;plugs into this mechanism. For other formats and when this
-plugging does not work as expected, it is necessary to tell <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;directly which program you are going to use. This is
-done by redefining the macro <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfsysdriver</span></span></span> to an appropriate value <span
-class="cmti-10">before </span>you load <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgf</span></span></span>. If you are going to use
-the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span> program, you set this macro to the value <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-dvips.def</span></span></span>; if you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span>, you set it to
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-pdftex.def</span></span></span>; and so on. In the following, details of the support of the different programs are
-discussed.
-<!--l. 168--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.2.2 </span> <a
- id="x6-620005.2.2"></a>Producing PDF Output</h5>
-<!--l. 170--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;supports three programs that produce <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;output (<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;means &#8220;portable document format&#8221; and was invented
-by the Adobe company): <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">vtex</span></span></span>. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> program is the same as the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> program: it
-uses a different input format, but the output is exactly the same.
-
-
-<!--l. 176--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox1">File <span
-class="cmtt-10">pgfsys-pdftex.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-62001"></a>
-<a
- id="dx6-62002"></a>
- <!--l. 177--><p class="noindent">This is the driver file for use with pdf<span class="TEX">T<span
-class="E">E</span>X</span>, that is, with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdftex</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span> command. It includes
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-pdf.def</span></span></span>.
- <!--l. 181--><p class="noindent">This driver has the &#8220;complete&#8221; functionality. This means, everything <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;&#8220;can do at all&#8221; is
- implemented in this driver. </dd></dl>
-<!--l. 186--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox2">File <span
-class="cmtt-10">pgfsys-dvipdfm.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-62003"></a>
-<a
- id="dx6-62004"></a>
- <!--l. 187--><p class="noindent">This is a driver file for use with (<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">la</span></span></span>)<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span> followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span>. It includes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-pdf.def</span></span></span>.
- <!--l. 190--><p class="noindent">This driver supports most of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s features, but there are some restrictions:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x6-62006x1"></a>In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;mode it uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> for the graphics inclusion and does not support masking.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x6-62008x2"></a>In plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode it does not support image inclusion.</li></ol>
- </dd></dl>
-<!--l. 201--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox3">File <span
-class="cmtt-10">pgfsys-vtex.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-62009"></a>
-<a
- id="dx6-62010"></a>
- <!--l. 202--><p class="noindent">This is the driver file for use with the commercial <span
-class="cmcsc-10"><small
-class="small-caps">V</small><small
-class="small-caps">T</small><small
-class="small-caps">E</small><small
-class="small-caps">X</small> </span>program. Even though is will produce <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>
- output, it includes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-postscript.def</span></span></span>. Note that the <span
-class="cmcsc-10"><small
-class="small-caps">V</small><small
-class="small-caps">T</small><small
-class="small-caps">E</small><small
-class="small-caps">X</small> </span>program can produce <span
-class="cmti-10">both</span>
- Postscript and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>output, depending on the command line parameters. However, whether you produce
- Postscript or <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small> </span>output does not change anything with respect to the driver.
- <!--l. 211--><p class="noindent">This driver supports most of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s features, except for the following restrictions:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x6-62012x1"></a>In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;mode it uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> for the graphics inclusion and does not support masking.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x6-62014x2"></a>In plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode it does not support image inclusion.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x6-62016x3"></a>Shading is fully implemented, but yields the same quality as the implementation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x6-62018x4"></a>Opacity is not implemented at all.</li></ol>
- </dd></dl>
-<!--l. 227--><p class="indent"> It is also possible to produce a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>-file by first producing a PostScript file (see below) and then using a
-PostScript-to-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;conversion program like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ps2pdf</span></span></span> or the Acrobat Distiller.
-<!--l. 232--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.2.3 </span> <a
- id="x6-630005.2.3"></a>Producing PostScript Output</h5>
-<!--l. 234--><p class="noindent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox4">File <span
-class="cmtt-10">pgfsys-dvips.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-63001"></a>
-<a
- id="dx6-63002"></a>
- <!--l. 235--><p class="noindent">This is a driver file for use with (<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">la</span></span></span>)<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex</span></span></span> followed by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>. It includes
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-postscript.def</span></span></span>.
- <!--l. 238--><p class="noindent">This driver also supports most of <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s features, except for the following restrictions:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x6-63004x1"></a>In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;mode it uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> for the graphics inclusion and does not support masking.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x6-63006x2"></a>In plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode it does not support image inclusion.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x6-63008x3"></a>Shading is fully implemented, but the results will not be as good as with a driver producing <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.pdf</span></span></span>
- as output.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x6-63010x4"></a>Opacity works only in conjunction with newer versions of GhostScript.</li></ol>
- </dd></dl>
-<!--l. 255--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox5">File <span
-class="cmtt-10">pgfsys-textures.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-63011"></a>
-<a
- id="dx6-63012"></a>
- <!--l. 256--><p class="noindent">This is a driver file for use with the <span
-class="cmcsc-10"><small
-class="small-caps">T</small><small
-class="small-caps">E</small><small
-class="small-caps">X</small><small
-class="small-caps">T</small><small
-class="small-caps">U</small><small
-class="small-caps">R</small><small
-class="small-caps">E</small><small
-class="small-caps">S</small> </span>program. It includes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-postscript.def</span></span></span>.
- <!--l. 259--><p class="noindent">This driver has exactly the same restrictions as the driver for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvips</span></span></span>. </dd></dl>
-<!--l. 263--><p class="noindent">You can also use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">vtex</span></span></span> program together with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-vtex.def</span></span></span> to produce Postscript output.
-<!--l. 268--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">5.2.4 </span> <a
- id="x6-640005.2.4"></a>Producing HTML / SVG Output</h5>
-<!--l. 270--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex4ht</span></span></span> program converts <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.dvi</span></span></span>-files to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.html</span></span></span>-files. While the <span
-class="cmcsc-10"><small
-class="small-caps">H</small><small
-class="small-caps">T</small><small
-class="small-caps">M</small><small
-class="small-caps">L</small></span>-format cannot be used to draw graphics,
-the <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small></span>-format can. Using the following driver, you can ask <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;to produce an <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small></span>-picture for each <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;graphic in
-your text.
-<!--l. 276--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox6">File <span
-class="cmtt-10">pgfsys-tex4ht.def</span></span> </dt><dd
-class="description">
-<a
- id="dx6-64001"></a>
-<a
- id="dx6-64002"></a>
- <!--l. 277--><p class="noindent">This is a driver file for use with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex4ht</span></span></span> program. It includes <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfsys-common-svg.def</span></span></span>.
- <!--l. 280--><p class="noindent">When using this driver you should be aware of the following restrictions:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x6-64004x1"></a>In <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;mode it uses <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">graphicx</span></span></span> for the graphics inclusion.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x6-64006x2"></a>In plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;mode it does not support image inclusion.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x6-64008x3"></a>Text inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgfpicture</span></span></span>s is not supported very well. The reason is that the <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>specification
- currently does not support text very well and it is also not possible to correctly &#8220;escape back&#8221; to
- <span
-class="cmcsc-10"><small
-class="small-caps">H</small><small
-class="small-caps">T</small><small
-class="small-caps">M</small><small
-class="small-caps">L</small></span>. All these problems will hopefully disappear in the future, but currently only two kinds of
- text work reasonably well: First, plain text without math mode, special characters or anything
- else special. Second, <span
-class="cmti-10">very </span>simple mathematical text that contains subscripts or superscripts. Even
- then, variables are not correctly set in italics and, in general, text simple does not look very nice.
-
-
- </li>
- <li class="enumerate" value="4"
-><a
- id="x6-64010x4"></a>If you use text that contains anything special, even something as simple as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">$\alpha$</span></span></span>, this may
- corrupt the graphic since <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">text4ht</span></span></span> does not always produce valid <span
-class="cmcsc-10"><small
-class="small-caps">X</small><small
-class="small-caps">M</small><small
-class="small-caps">L</small> </span>code. So, once more, <span
-class="cmti-10">stick</span>
- <span
-class="cmti-10">to very simple node text inside graphics. </span>Sorry.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x6-64012x5"></a>Unlike for other output formats, the bounding box of a picture &#8220;really crops&#8221; the picture.</li></ol>
- <!--l. 309--><p class="noindent">The driver basically works as follows: When a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{pgfpicture}</span></span></span> is started, appropriate <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\special</span></span></span> commands are
- used to directed the output of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tex4ht</span></span></span> to a new file called <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\jobname-xxx.svg</span></span></span>, where <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xxx</span></span></span> is a
- number that is increased for each graphic. Then, till the end of the picture, each (system layer)
- graphic command creates a specials that insert appropriate <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>literal text into the output file.
- The exact details are a bit complicated since the imaging model and the processing model of
- PostScript/<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">D</small><small
-class="small-caps">F</small></span>&nbsp;and <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small> </span>are not quite the same; but they are &#8220;close enough&#8221; for <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s purposes.
- </dd></dl>
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse4.html" >prev</a>] [<a
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-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>6 Design Principles</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
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- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse7.html" >next</a>] [<a
-href="#tailpgfmanualse6.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse6.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">6 </span> <a
- id="x7-660006"></a>Design Principles</h3>
-<!--l. 10--><p class="noindent">This section describes the design principles behind the Ti<span
-class="cmti-10">k</span>Z&nbsp;frontend, where Ti<span
-class="cmti-10">k</span>Z&nbsp;means &#8220;Ti<span
-class="cmti-10">k</span>Z&nbsp;ist <span
-class="cmti-10">kein</span>
-Zeichenprogramm.&#8221; To use Ti<span
-class="cmti-10">k</span>Z, as a <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>&nbsp;user say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\usepackage{tikz}</span></span></span> somewhere in the preamble, as a plain
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;user say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\input</span><span
-class="cmtt-10">&nbsp;tikz.tex</span></span></span>. Ti<span
-class="cmti-10">k</span>Z&#8217;s job is to make your life easier by providing an easy-to-learn and
-easy-to-use syntax for describing graphics.
-<!--l. 18--><p class="indent"> The commands and syntax of Ti<span
-class="cmti-10">k</span>Z&nbsp;were influenced by several sources. The basic command names and the
-notion of path operations is taken from <span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">F</small><small
-class="small-caps">O</small><small
-class="small-caps">N</small><small
-class="small-caps">T</small></span>, the option mechanism comes from <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>, the notion of
-styles is reminiscent of <span
-class="cmcsc-10"><small
-class="small-caps">S</small><small
-class="small-caps">V</small><small
-class="small-caps">G</small></span>. To make it all work together, some compromises were necessary. I also added some
-ideas of my own, like meta-arrows and coordinate transformations.
-<!--l. 26--><p class="indent"> The following basic design principles underlie Ti<span
-class="cmti-10">k</span>Z:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x7-66002x1"></a>Special syntax for specifying points.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x7-66004x2"></a>Special syntax for path specifications.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x7-66006x3"></a>Actions on paths.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x7-66008x4"></a>Key-value syntax for graphic parameters.
- </li>
- <li class="enumerate" value="5"
-><a
- id="x7-66010x5"></a>Special syntax for nodes.
- </li>
- <li class="enumerate" value="6"
-><a
- id="x7-66012x6"></a>Special syntax for trees.
- </li>
- <li class="enumerate" value="7"
-><a
- id="x7-66014x7"></a>Grouping of graphic parameters.
- </li>
- <li class="enumerate" value="8"
-><a
- id="x7-66016x8"></a>Coordinate transformation system.</li></ol>
-<!--l. 40--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.1 </span> <a
- id="x7-670006.1"></a>Special Syntax For Specifying Points</h4>
-<!--l. 42--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;provides a special syntax for specifying points and coordinates. In the simplest case, you provide two
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions, separated by commas, in round brackets as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1cm,2pt)</span></span></span>.
-<!--l. 46--><p class="indent"> You can also specify a point in polar coordinates by using a colon instead of a comma as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span>, which
-means &#8220;1cm in a 30 degrees direction.&#8221;
-<!--l. 50--><p class="indent"> If you do not provide a unit, as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,1)</span></span></span>, you specify a point in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s <span
-class="cmmi-10">xy</span>-coordinate system. By default, the unit
-<span
-class="cmmi-10">x</span>-vector goes 1cm to the right and the unit <span
-class="cmmi-10">y</span>-vector goes 1cm upward.
-<!--l. 54--><p class="indent"> By specifying three numbers as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1,1)</span></span></span> you specify a point in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s <span
-class="cmmi-10">xyz</span>-coordinate system.
-<!--l. 57--><p class="indent"> It is also possible to use an anchor of a previously defined shape as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(first</span><span
-class="cmtt-10">&nbsp;node.south)</span></span></span>.
-<!--l. 60--><p class="indent"> You can add two plus signs before a coordinate as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++(1cm,0pt)</span></span></span>. This means &#8220;1cm to the right of the last
-point used.&#8221; This allows you to easily specify relative movements. For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span><span
-class="cmtt-10">&nbsp;++(1,0)</span><span
-class="cmtt-10">&nbsp;++(0,1)</span></span></span> specifies
-the three coordinates <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span></span></span>, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,0)</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,1)</span></span></span>.
-<!--l. 66--><p class="indent"> Finally, instead of two plus signs, you can also add a single one. This also specifies a point in a relative
-manner, but it does not &#8220;change&#8221; the current point used in subsequent relative commands. For example,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span><span
-class="cmtt-10">&nbsp;+(1,0)</span><span
-class="cmtt-10">&nbsp;+(0,1)</span></span></span> specifies the three coordinates <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,0)</span></span></span>, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,0)</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,1)</span></span></span>.
-
-
-<!--l. 72--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.2 </span> <a
- id="x7-680006.2"></a>Special Syntax For Path Specifications</h4>
-<!--l. 74--><p class="noindent">When creating a picture using Ti<span
-class="cmti-10">k</span>Z, your main job is the specification of <span
-class="cmti-10">paths</span>. A path is a series of straight or
-curved lines, which need not be connected. Ti<span
-class="cmti-10">k</span>Z&nbsp;makes it easy to specify paths, partly using the syntax of
-<span
-class="cmcsc-10"><small
-class="small-caps">M</small><small
-class="small-caps">E</small><small
-class="small-caps">T</small><small
-class="small-caps">A</small><small
-class="small-caps">P</small><small
-class="small-caps">O</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small></span>. For example, to specify a triangular path you use
-<!--l. 79--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-66-" ><colgroup id="TBL-66-1g"><col
-id="TBL-66-1"></colgroup><tr
- valign="baseline" id="TBL-66-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-66-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">(5pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,0pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,5pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 82--><p class="indent"> and you get <object data="pgfmanual-65.svg" width="8.19995 " height="8.19995 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> when you draw this path.
-<!--l. 85--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.3 </span> <a
- id="x7-690006.3"></a>Actions on Paths</h4>
-<!--l. 87--><p class="noindent">A path is just a series of straight and curved lines, but it is not yet specified what should happen with it. One
-can <span
-class="cmti-10">draw </span>a path, <span
-class="cmti-10">fill </span>a path, <span
-class="cmti-10">shade </span>it, <span
-class="cmti-10">clip </span>it, or do any combination of these. Drawing (also known
-as <span
-class="cmti-10">stroking</span>) can be thought of as taking a pen of a certain thickness and moving it along the path,
-thereby drawing on the canvas. Filling means that the interior of the path is filled with a uniform color.
-Obviously, filling makes sense only for <span
-class="cmti-10">closed </span>paths and a path is automatically closed prior to filling, if
-necessary.
-<!--l. 97--><p class="indent"> Given a path as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;(2ex,1ex);</span></span></span>, you can draw it by adding the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option as in
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw]</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;(2ex,1ex);</span></span></span>, which yields <object data="pgfmanual-66.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> command is just an abbreviation for
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw]</span></span></span>. To fill a path, use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> option or the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\fill</span></span></span> command, which is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill]</span></span></span>.
-The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\filldraw</span></span></span> command is an abbreviation for <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[fill,draw]</span></span></span>. Shading is caused by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shade</span></span></span> option (there
-are <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shade</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\shadedraw</span></span></span> abbreviations) and clipping by the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">clip</span></span></span> option. There is is also a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\clip</span></span></span> command,
-which does the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[clip]</span></span></span>, but not commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\drawclip</span></span></span>. Use, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw[clip]</span></span></span> or
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path[draw,clip]</span></span></span> instead.
-<!--l. 110--><p class="indent"> All of these commands can only be used inside <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environments.
-<!--l. 113--><p class="indent"> Ti<span
-class="cmti-10">k</span>Z&nbsp;allows you to use different colors for filling and stroking.
-<!--l. 116--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.4 </span> <a
- id="x7-700006.4"></a>Key-Value Syntax for Graphic Parameters</h4>
-<!--l. 117--><p class="noindent">Whenever Ti<span
-class="cmti-10">k</span>Z&nbsp;draws or fills a path, a large number of graphic parameters influenced the rendering. Examples
-include the colors used, the dashing pattern, the clipping area, the line width, and many others. In Ti<span
-class="cmti-10">k</span>Z, all these
-options are specified as lists of so called key-value pairs, as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=red</span></span></span>, that are passed as optional parameters to
-the path drawing and filling commands. This usage is similar to <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">S</small><small
-class="small-caps">T</small><small
-class="small-caps">R</small><small
-class="small-caps">I</small><small
-class="small-caps">C</small><small
-class="small-caps">K</small><small
-class="small-caps">S</small></span>. For example, the following will draw a
-thick, red triangle;
-<!--l. 125--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-67-" ><colgroup id="TBL-67-1g"><col
-id="TBL-67-1"><col
-id="TBL-67-2"></colgroup><tr
- valign="baseline" id="TBL-67-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-67-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-67.svg" width="41.6035 " height="3.66666 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-67-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=2pt,color=red]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-</div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 129--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.5 </span> <a
- id="x7-710006.5"></a>Special Syntax for Specifying Nodes</h4>
-<!--l. 130--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;introduces a special syntax for adding text or, more generally, nodes to a graphic. When you specify a path,
-add nodes as in the following example:
-<!--l. 133--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-68-" ><colgroup id="TBL-68-1g"><col
-id="TBL-68-1"><col
-id="TBL-68-2"></colgroup><tr
- valign="baseline" id="TBL-68-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-68-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-68.svg" width="55.3141 " height="47.74796 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-68-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;{text}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,2);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 136--><p class="indent"> Nodes are inserted at the current position of the path, but only <span
-class="cmti-10">after </span>the path has been rendered. When special
-options are given, as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(1,1)</span><span
-class="cmtt-10">&nbsp;node[circle,draw]</span><span
-class="cmtt-10">&nbsp;{text};</span></span></span>, the text is not just put at the current position.
-Rather, it is surrounded by a circle and this circle is &#8220;drawn.&#8221;
-<!--l. 143--><p class="indent"> You can add a name to a node for later reference either by using the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">name=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt; </span>or by stating the
-node name in parentheses outside the text as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node[circle](name){text}</span></span></span>.
-<!--l. 147--><p class="indent"> Predefined shapes include <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">circle</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span>, but it is possible (though a bit challenging) to
-define new shapes.
-
-
-<!--l. 150--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.6 </span> <a
- id="x7-720006.6"></a>Special Syntax for Specifying Trees</h4>
-<!--l. 152--><p class="noindent">In addition to the &#8220;node syntax,&#8221; Ti<span
-class="cmti-10">k</span>Z&nbsp;also introduces a special syntax for drawing trees. The syntax is intergrated
-with the special node syntax and only few new commands need to be remebered. In essence, a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> can be followed
-by any number of children, each introduced by the keyword <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">child</span></span></span>. The children are nodes themselves, each of which
-may have children in turn.
-<!--l. 159--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-69-" ><colgroup id="TBL-69-1g"><col
-id="TBL-69-1"><col
-id="TBL-69-2"></colgroup><tr
- valign="baseline" id="TBL-69-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-69-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-69.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-69-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 170--><p class="indent"> Since trees are made up from nodes, it is possible to use options to modify the way trees are drawn. Here are two
-examples of the above tree, redrawn with different options:
-<!--l. 174--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-70-" ><colgroup id="TBL-70-1g"><col
-id="TBL-70-1"><col
-id="TBL-70-2"></colgroup><tr
- valign="baseline" id="TBL-70-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-70-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-70.svg" width="118.57913 " height="132.42857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-70-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent</span><span
-class="cmtt-8">&nbsp;fork</span><span
-class="cmtt-8">&nbsp;down]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[fill=red!30,rounded</span><span
-class="cmtt-8">&nbsp;corners]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent}=[red,-o,thick,draw]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 187--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-71-" ><colgroup id="TBL-71-1g"><col
-id="TBL-71-1"><col
-id="TBL-71-2"></colgroup><tr
- valign="baseline" id="TBL-71-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-71-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-71.svg" width="153.7414 " height="123.29987 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-71-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[parent</span><span
-class="cmtt-8">&nbsp;anchor=east,child</span><span
-class="cmtt-8">&nbsp;anchor=west,grow=east]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;node}=[ball</span><span
-class="cmtt-8">&nbsp;color=red,circle,text=white]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{edge</span><span
-class="cmtt-8">&nbsp;from</span><span
-class="cmtt-8">&nbsp;parent}=[draw,dashed,thick,red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;{root}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{left}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{right}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;child</span><span
-class="cmtt-8">&nbsp;{node</span><span
-class="cmtt-8">&nbsp;{child}}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 201--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.7 </span> <a
- id="x7-730006.7"></a>Grouping of Graphic Parameters</h4>
-<!--l. 203--><p class="noindent">Graphic parameters should often apply to several path drawing or filling commands. For example, we may wish to
-draw numerous lines all with the same line width of 1pt. For this, we put these commands in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span>
-environment that takes the desired graphic options as an optional parameter. Naturally, the specified graphic
-parameters apply only to the drawing and filling commands inside the environment. Furthermore, nested
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environments or individual drawing commands can override the graphic parameters of outer
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environments. In the following example, three red lines, two green lines, and one blue line are
-drawn:
-<!--l. 214--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-72-" ><colgroup id="TBL-72-1g"><col
-id="TBL-72-1"><col
-id="TBL-72-2"></colgroup><tr
- valign="baseline" id="TBL-72-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-72-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-72.svg" width="39.47017 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-72-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[color=red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,10mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,10mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;8mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;8mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;6mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;6mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[color=green]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;4mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;4mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;2mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;2mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=blue]</span><span
-class="cmtt-8">&nbsp;(0mm,</span><span
-class="cmtt-8">&nbsp;0mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,</span><span
-class="cmtt-8">&nbsp;0mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 229--><p class="indent"> The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment itself also behaves like a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environment, that is, you can
-specify graphic parameters using an optional argument. These optional apply to all commands in the
-picture.
-<!--l. 235--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">6.8 </span> <a
- id="x7-740006.8"></a>Coordinate Transformation System</h4>
-<!--l. 237--><p class="noindent">Ti<span
-class="cmti-10">k</span>Z&nbsp;relies entirely on <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s <span
-class="cmti-10">coordinate </span>transformation system to perform transformations. <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;also supports
-<span
-class="cmti-10">canvas </span>transformations, a more low-level transformation system, but this system is not accessible from Ti<span
-class="cmti-10">k</span>Z. There
-are two reasons for this: First, the canvas transformation must be used with great care and often results in &#8220;bad&#8221;
-graphics with changing line width and text in wrong sizes. Second, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;looses track of where nodes and shapes are
-positioned when canvas transformations are used.
-<!--l. 246--><p class="indent"> For more details on the difference between coordinate transformations and canvas transformations see
-Section&nbsp;<a
-href="pgfmanualse18.html#x19-19100018.4">18.4<!--tex4ht:ref: section-design-transformations --></a>.
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse7.html" >next</a>] [<a
-href="pgfmanualse6.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse6.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse6.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse7.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse7.html
deleted file mode 100644
index 75de15f25b2..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse7.html
+++ /dev/null
@@ -1,1061 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>7 Hierarchical Structures:
-Package, Environments, Scopes, and Styles</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse8.html" >next</a>] [<a
-href="pgfmanualse6.html" >prev</a>] [<a
-href="pgfmanualse6.html#tailpgfmanualse6.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse7.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse7.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">7 </span> <a
- id="x8-750007"></a>Hierarchical Structures:
-<br class="newline">Package, Environments, Scopes, and Styles</h3>
-<!--l. 12--><p class="noindent">The present section explains how your files should be structured when you use Ti<span
-class="cmti-10">k</span>Z. On the top level, you need to
-include the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz</span></span></span> package. In the main text, each graphic needs to be put in a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment. Inside
-these environments, you can use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environments to create internal groups. Inside the scopes you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span>
-commands to actually draw something. On all levels (except for the package level), graphic options can be given
-that apply to everything within the environment.
-<!--l. 23--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">7.1 </span> <a
- id="x8-760007.1"></a>Loading the Package</h4>
-<!--l. 25--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox7"><span
-class="cmtt-10">\usepackage{</span><span
-class="cmtt-10">tikz</span><span
-class="cmtt-10">} % </span><span class="LATEX"><span
-class="cmtt-10">L</span><span class="A"><span
-class="cmtt-10">A</span></span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx8-76001"></a>
-<a
- id="dx8-76002"></a>
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox8"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">tikz</span><span
-class="cmtt-10">.tex % plain </span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox9"><span
-class="cmtt-10">\input </span><span
-class="cmtt-10">tikz</span><span
-class="cmtt-10">.tex % Con</span><span class="TEX"><span
-class="cmtt-10">T</span><span
-class="E"><span
-class="cmtt-10">E</span></span><span
-class="cmtt-10">X</span></span><span
-class="cmtt-10">t</span></span> </dt><dd
-class="description">
- <!--l. 26--><p class="noindent">This package does not have any options.
- <!--l. 28--><p class="noindent">This will automatically load the <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;package and several other stuff that Ti<span
-class="cmti-10">k</span>Z&nbsp;needs (like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">xkeyval</span></span></span>
- package).
- <!--l. 31--><p class="noindent"><span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;needs to know what <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;driver you are intending to use. In most cases <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;is clever enough
- to determine the correct driver for you; this is true in particular if you <span class="LATEX">L<span class="A">A</span><span class="TEX">T<span
-class="E">E</span>X</span></span>. Currently, the only
- situation where <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;cannot know the driver &#8220;by itself&#8221; is when you use plain <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;or Con<span class="TEX">T<span
-class="E">E</span>X</span>t
- together with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">dvipdfm</span></span></span>. In this case, you have to write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\def\pgfsysdriver{pgfsys-dvipdfm.def}</span></span></span>
- <span
-class="cmti-10">before </span>you input <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz.tex</span></span></span>. </dd></dl>
-<!--l. 42--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">7.2 </span> <a
- id="x8-770007.2"></a>Creating a Picture</h4>
-<!--l. 44--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">7.2.1 </span> <a
- id="x8-780007.2.1"></a>Creating a Picture Using an Environment</h5>
-<!--l. 46--><p class="noindent">The &#8220;outermost&#8221; scope of Ti<span
-class="cmti-10">k</span>Z&nbsp;is the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment. You may give drawing commands only
-inside this environment, giving them outside (as is possible in many other packages) will result in
-chaos.
-<!--l. 51--><p class="indent"> In Ti<span
-class="cmti-10">k</span>Z, the way graphics are rendered is strongly influenced by graphic options. For example, there is an option
-for setting the color used for drawing, another for setting the color used for filling, and also more obscure ones like
-the option for setting the prefix used in the filenames of temporary files written while plotting functions using an
-external program. The graphic options are nearly always specified in a so-called key-value style. (The &#8220;nearly
-always&#8221; refers to the name of nodes, which can also be specified differently.) All graphic options are local to the
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> to which they apply.
-<!--l. 61--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox10"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">tikzpicture</span><span
-class="cmtt-10">}</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox11"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox12"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">tikzpicture</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx8-78001"></a>
-<a
- id="dx8-78002"></a>
- <!--l. 62--><p class="noindent">All Ti<span
-class="cmti-10">k</span>Z&nbsp;commands should be given inside this environment, except for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzstyle</span></span></span> command.
- Unlike other packages, it is not possible to use, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfpathmoveto</span></span></span> outside this environment and
- doing so will result in chaos. For Ti<span
-class="cmti-10">k</span>Z, commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> are only defined inside this environment,
- so there is little chance that you will do something wrong here.
- <!--l. 69--><p class="noindent">When this environment is encountered, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are parsed. All options given here will apply to
- the whole picture.
- <!--l. 73--><p class="noindent">Next, the contents of the environment is processed and the graphic commands therein are put into a box.
- Non-graphic text is suppressed as well as possible, but non-<span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;commands inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span>
- environment should not produce any &#8220;output&#8221; since this may totally scramble the positioning system
- of the backend drivers. The suppressing of normal text, by the way, is done by temporarily switching
- the font to <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\nullfont</span></span></span>. You can, however, &#8220;escape back&#8221; to normal <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;typesetting. This happens,
- for example, when you specify a node.
- <!--l. 83--><p class="noindent">At the end of the environment, <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;tries to make a good guess at a good guess at the bounding
- box of the graphic and then resizes the box such that the box has this size. To &#8220;make its guess,&#8221;
- everytime <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;encounters a coordinate, it updates the bound box&#8217;s size such that it encompasses all
- these coordinates. This will usually give a good approximation at the bounding box, but will not always
- be accurate. First, the line thickness is not taken into account. Second, controls points of a curve often
- lie far &#8220;outside&#8221; the curve and make the bounding box too large. In this case, you should use the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[use</span><span
-class="cmtt-10">&nbsp;as</span><span
-class="cmtt-10">&nbsp;bounding</span><span
-class="cmtt-10">&nbsp;box]</span></span></span> option.
- <!--l. 95--><p class="noindent">The following option influences the baseline of the resulting picture:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">baseline</span><a
- id="dx8-78003"></a><a
- id="dx8-78004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span> Normally, the lower end of the picture is put on the baseline of the
- surrounding text. For example, when you give the code <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz\draw(0,0)circle(.5ex);</span></span></span>,
- <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;will find out that the lower end of the picture is at <span
-class="cmsy-10">-</span><span
-class="cmmi-10">.</span>5ex and that the upper end is at <span
-class="cmmi-10">.</span>5ex.
- Then, the lower end will be put on the baseline, resulting in the following: <object data="pgfmanual-73.svg" width="7.27402 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.
- <!--l. 106--><p class="noindent">Using this option, you can specify that the picture should be raised or lowered such that the height
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>is on the baseline. For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">tikz[baseline=0pt]\draw(0,0)circle(.5ex);</span></span></span>
- yields <object data="pgfmanual-74.svg" width="7.27402 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> since, now, the baseline is on the height of the <span
-class="cmmi-10">x</span>-axis. If you omit the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimensions</span><span
-class="cmsy-10">&gt;</span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">0pt</span></span></span>
- is assumed as default.
- <!--l. 113--><p class="noindent">This options is often useful for &#8220;inlined&#8221; graphics as in
- <!--l. 114--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-73-" ><colgroup id="TBL-73-1g"><col
-id="TBL-73-1"><col
-id="TBL-73-2"></colgroup><tr
- valign="baseline" id="TBL-73-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-73-1-1"
-class="td11"> &nbsp;<span
-class="cmmi-10">A</span> <object data="pgfmanual-75.svg" width="18.75542 " height="2.33333 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> <span
-class="cmmi-10">B</span> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-73-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">$A</span><span
-class="cmtt-8">&nbsp;\mathbin{\tikz[baseline]</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;&gt;]</span><span
-class="cmtt-8">&nbsp;(0pt,.5ex)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3ex,.5ex);}</span><span
-class="cmtt-8">&nbsp;B$</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">execute at begin picture</span><a
- id="dx8-78005"></a><a
- id="dx8-78006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>This option can be used to install some code that will be executed at
- the beginning of the picture. This option must be given in the argument of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span>
- environment itself since this option will not have an effect otherwise. After all, the picture has already
- &#8220;started&#8221; later on.
- <!--l. 125--><p class="noindent">This option is mainly used in styles like the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">every</span><span
-class="cmtt-10">&nbsp;picture</span></span></span> style to execute certain code at the start of a
- picture.
- </li>
- <li class="itemize"><span
-class="cmtt-10">execute at end picture</span><a
- id="dx8-78007"></a><a
- id="dx8-78008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>This option installs some code that will be executed at the end of the
- picture. Using this option multiple times will cause the code to accumulate. This option must also be
- given in the optional argument of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment.
-
-
- <!--l. 134--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-74-" ><colgroup id="TBL-74-1g"><col
-id="TBL-74-1"><col
-id="TBL-74-2"></colgroup><tr
- valign="baseline" id="TBL-74-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-74-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-76.svg" width="95.76155 " height="56.93579 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-74-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[execute</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;end</span><span
-class="cmtt-8">&nbsp;picture=</span><span
-class="cmsltt-10x-x-80">%</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{pgfonlayer}{background}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path[fill=yellow,rounded</span><span
-class="cmtt-8">&nbsp;corners]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.south</span><span
-class="cmtt-8">&nbsp;west)</span><span
-class="cmtt-8">&nbsp;rectangle</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(current</span><span
-class="cmtt-8">&nbsp;bounding</span><span
-class="cmtt-8">&nbsp;box.north</span><span
-class="cmtt-8">&nbsp;east);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{pgfonlayer}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;{X};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{Y};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- <!--l. 149--><p class="noindent">All options &#8220;end&#8221; at the end of the picture. To set an option &#8220;globally&#8221; you can use the following
- style:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every picture</span><a
- id="dx8-78009"></a><a
- id="dx8-78010"></a> This style is installed at the beginning of each picture.
- <!--l. 154--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-75-" ><colgroup id="TBL-75-1g"><col
-id="TBL-75-1"></colgroup><tr
- valign="baseline" id="TBL-75-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-75-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;picture}=[semithick]</span>
-</div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
- </dd></dl>
-<!--l. 160--><p class="indent"> In plain <span class="TEX">T<span
-class="E">E</span>X</span>, you should use instead the following commands:
-<!--l. 162--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox13"><span
-class="cmtt-10">\tikzpicture</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox14"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox15"><span
-class="cmtt-10">\endtikzpicture</span></span> </dt><dd
-class="description">
-<a
- id="dx8-78011"></a>
-<a
- id="dx8-78012"></a>
- </dd></dl>
-<!--l. 166--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">7.2.2 </span> <a
- id="x8-790007.2.2"></a>Creating a Picture Using a Command</h5>
-<!--l. 168--><p class="noindent">The following two commands are used for &#8220;small&#8221; graphics.
-<!--l. 170--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox16"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx8-79001"></a>
- <!--l. 171--><p class="noindent">This command places the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment and adds a semicolon at
- the end. This is just a convenience.
- <!--l. 175--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">commands</span><span
-class="cmsy-10">&gt; </span>may not contain a paragraph (an empty line). This is a precaution to ensure that
- users really use this command only for small graphics.
- <!--l. 179--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz{\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;(2ex,1ex)}</span></span></span> yields <object data="pgfmanual-77.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </dd></dl>
-<!--l. 184--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox17"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">;</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx8-79002"></a>
- <!--l. 185--><p class="noindent">If the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>does not start with an opening brace, the end of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">text</span><span
-class="cmsy-10">&gt; </span>is the next semicolon that is
- encountered.
- <!--l. 188--><p class="noindent"><span
-class="cmti-10">Example: </span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;rectangle</span><span
-class="cmtt-10">&nbsp;(2ex,1ex);</span></span></span> yields <object data="pgfmanual-78.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </dd></dl>
-<!--l. 194--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">7.2.3 </span> <a
- id="x8-800007.2.3"></a>Adding a Background</h5>
-<!--l. 196--><p class="noindent">By default, pictures do not have any background, that is, they are &#8220;transparent&#8221; on all parts on which you do not
-draw anything. You may instead wish to have a colored background behind your picture or a black frame around it
-or lines above and below it or some other kind of decoration.
-<!--l. 202--><p class="indent"> Since backgrounds are often not needed at all, the definition of styles for adding backgrounds has been put in the
-library package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibrarytikzbackgrounds</span></span></span>. This package is documented in Section&nbsp;<a
-href="pgfmanualse14.html#x15-17700014.7">14.7<!--tex4ht:ref: section-tikz-backgrounds --></a>.
-<!--l. 208--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">7.3 </span> <a
- id="x8-810007.3"></a>Using Scopes to Structure a Picture</h4>
-<!--l. 210--><p class="noindent">Inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment you can create scopes using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environment. This environment is
-available only inside the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment, so once more, there is little chance of doing anything
-wrong.
-<!--l. 215--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox18"><span
-class="cmtt-10">\begin{</span><span
-class="cmtt-10">scope</span><span
-class="cmtt-10">}</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox19"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox20"><span
-class="cmtt-10">\end{</span><span
-class="cmtt-10">scope</span><span
-class="cmtt-10">}</span></span> </dt><dd
-class="description">
-<a
- id="dx8-81001"></a>
-<a
- id="dx8-81002"></a>
- <!--l. 216--><p class="noindent">All <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>are local to the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span>. Furthermore, the clipping path is also local to
- the environment, that is, any clipping done inside the environment &#8220;ends&#8221; at its end.
- <!--l. 221--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-76-" ><colgroup id="TBL-76-1g"><col
-id="TBL-76-1"><col
-id="TBL-76-2"></colgroup><tr
- valign="baseline" id="TBL-76-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-76-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-79.svg" width="39.47017 " height="20.50172 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-76-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[red]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,0mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,0mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,1mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,1mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,2mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,2mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\begin{scope}[green]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,3mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,3mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0mm,4mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,4mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[blue]</span><span
-class="cmtt-8">&nbsp;(0mm,5mm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(10mm,5mm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{scope}</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 236--><p class="noindent">The following style influences scopes:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every scope</span><a
- id="dx8-81003"></a><a
- id="dx8-81004"></a> This style is installed at the beginning of every scope. I do not know really
- know what this might be good for, but who knows?</li></ul>
- <!--l. 243--><p class="noindent">The following options are useful for scopes:
-
-
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">execute at begin scope</span><a
- id="dx8-81005"></a><a
- id="dx8-81006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>This option install some code that will be executed at the
- beginning of the scope. This option must be given in the argument of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environment.
- <!--l. 250--><p class="noindent">The effect applies only to the current scope, not to subscopes.
- </li>
- <li class="itemize"><span
-class="cmtt-10">execute at end scope</span><a
- id="dx8-81007"></a><a
- id="dx8-81008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">code</span><span
-class="cmsy-10">&gt; </span>This option installs some code that will be executed at the end
- of the current scope. Using this option multiple times will cause the code to accumulate. This
- option must also be given in the optional argument of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{scope}</span></span></span> environment.
- <!--l. 258--><p class="noindent">Again, the effect applies only to the current scope, not to subscopes.</li></ul>
- </dd></dl>
-<!--l. 263--><p class="indent"> In plain <span class="TEX">T<span
-class="E">E</span>X</span>, you use the following commands instead:
-<!--l. 265--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox21"><span
-class="cmtt-10">\scope</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox22"><span
-class="cmtt-10">&nbsp;</span><span
-class="cmtt-10">&nbsp;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">environment contents</span><span
-class="cmsy-10">&gt;</span></span> </dt><dd
-class="description">
- </dd><dt class="description">
-<span
-class="colorbox" id="colorbox23"><span
-class="cmtt-10">\endscope</span></span> </dt><dd
-class="description">
-<a
- id="dx8-81009"></a>
-<a
- id="dx8-81010"></a>
- </dd></dl>
-<!--l. 270--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">7.4 </span> <a
- id="x8-820007.4"></a>Using Scopes Inside Paths</h4>
-<!--l. 272--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> command, which is described in much more detail in later sections, also takes graphic options. These
-options are local to the path. Furthermore, it is possible to create local scopes within a path simply by using curly
-braces as in
-<!--l. 276--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-77-" ><colgroup id="TBL-77-1g"><col
-id="TBL-77-1"><col
-id="TBL-77-2"></colgroup><tr
- valign="baseline" id="TBL-77-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-77-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-80.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-77-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br>
-<span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{[rounded</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 282--><p class="indent"> Note that many options apply only to the path as a whole and cannot be scoped in this way. For example, it is
-not possible to scope the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color</span></span></span> of the path. See the explanations in the section on paths for more
-details.
-<!--l. 287--><p class="indent"> Finally, certain elements that you specify in the argument to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> command also take local options. For
-example, a node specification takes options. In this case, the options apply only to the node, not to the surrounding
-path.
-<!--l. 294--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">7.5 </span> <a
- id="x8-830007.5"></a>Using Styles to Manage How Pictures Look</h4>
-<!--l. 296--><p class="noindent">There is a way of organizing sets of graphic options &#8220;orthogonally&#8221; to the normal scoping mechanism. For example,
-you might wish all your &#8220;help lines&#8221; to be drawn in a certain way like, say, gray and thin (do <span
-class="cmti-10">not </span>dash them, that
-distracts). For this, you can use <span
-class="cmti-10">styles</span>.
-<!--l. 302--><p class="indent"> A style is simply a set of graphic options that is predefined at some point. Once a style has been defined, it can
-be used anywhere using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style</span></span></span> option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style</span><a
- id="dx8-83001"></a><a
- id="dx8-83002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">style name</span><span
-class="cmsy-10">&gt; </span>invokes all options that are currently set in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">style name</span><span
-class="cmsy-10">&gt;</span>. An example of a style is the
- predefined <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">help</span><span
-class="cmtt-10">&nbsp;lines</span></span></span> style, which you should use for lines in the background like grid lines or construction
- lines. You can easily define new styles and modify existing ones.
-
-
- <!--l. 313--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-78-" ><colgroup id="TBL-78-1g"><col
-id="TBL-78-1"><col
-id="TBL-78-2"></colgroup><tr
- valign="baseline" id="TBL-78-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-78-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-81.svg" width="153.14735 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-78-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 322--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox24"><span
-class="cmtt-10">\tikzstyle</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">style name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=[</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx8-83003"></a>
- <!--l. 323--><p class="noindent">This command defines the style <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">style name</span><span
-class="cmsy-10">&gt;</span>. Whenever it is used using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">style name</span><span
-class="cmsy-10">&gt;</span>
- command, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>will be invoked. It is permissible that a style invokes another style using the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">style=</span></span></span> command inside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span>, which allows you to build hierarchies of styles. Naturally, you
- should <span
-class="cmti-10">not </span>create cyclic dependencies.
- <!--l. 330--><p class="noindent">If the style already has a predefined meaning, it will unceremoniously be redefined without a
- warning.
- <!--l. 332--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-79-" ><colgroup id="TBL-79-1g"><col
-id="TBL-79-1"><col
-id="TBL-79-2"></colgroup><tr
- valign="baseline" id="TBL-79-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-79-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-82.svg" width="153.14735 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-79-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{help</span><span
-class="cmtt-8">&nbsp;lines}=[blue!50,very</span><span
-class="cmtt-8">&nbsp;thin]</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 340--><p class="noindent">If the optional <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span> is given, the options are <span
-class="cmti-10">added </span>to the existing definition:
- <!--l. 342--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-80-" ><colgroup id="TBL-80-1g"><col
-id="TBL-80-1"><col
-id="TBL-80-2"></colgroup><tr
- valign="baseline" id="TBL-80-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-80-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-83.svg" width="153.14735 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-80-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{help</span><span
-class="cmtt-8">&nbsp;lines}+=[dashed]</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;aaarghhh!!!</span>
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 351--><p class="indent"> It is also possible to set a style using an option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">set style</span><a
- id="dx8-83004"></a><a
- id="dx8-83005"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">={</span></span></span><span
-class="cmtt-10">{</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">style name</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">}</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=[</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]}</span></span></span> This option has the same effect as saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikzstyle</span></span></span> before the
- argument of the option.
- <!--l. 356--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-81-" ><colgroup id="TBL-81-1g"><col
-id="TBL-81-1"><col
-id="TBL-81-2"></colgroup><tr
- valign="baseline" id="TBL-81-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-81-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-84.svg" width="153.14735 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-81-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[set</span><span
-class="cmtt-8">&nbsp;style={{help</span><span
-class="cmtt-8">&nbsp;lines}+=[dashed]}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;+(2,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </li></ul>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse8.html" >next</a>] [<a
-href="pgfmanualse6.html" >prev</a>] [<a
-href="pgfmanualse6.html#tailpgfmanualse6.html" >prev-tail</a>] [<a
-href="pgfmanualse7.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse7.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse7.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse8.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse8.html
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@@ -1,1098 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>8 Specifying Coordinates</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse9.html" >next</a>] [<a
-href="pgfmanualse7.html" >prev</a>] [<a
-href="pgfmanualse7.html#tailpgfmanualse7.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse8.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse8.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">8 </span> <a
- id="x9-840008"></a>Specifying Coordinates</h3>
-<!--l. 11--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.1 </span> <a
- id="x9-850008.1"></a>Coordinates and Coordinate Options</h4>
-<!--l. 13--><p class="noindent">A <span
-class="cmti-10">coordinate </span>is a position in a picture. Ti<span
-class="cmti-10">k</span>Z&nbsp;uses a special syntax for specifying coordinates. Coordinates are always
-put in round brackets. The general syntax is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate specification</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>.
-<!--l. 18--><p class="indent"> It is possible to give options that apply only to a single coordinate, although this makes sense for transformation
-options only. To give transformation options for a single coordinate, give these options at the beginning in
-brackets:
-<!--l. 22--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-82-" ><colgroup id="TBL-82-1g"><col
-id="TBL-82-1"><col
-id="TBL-82-2"></colgroup><tr
- valign="baseline" id="TBL-82-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-82-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-85.svg" width="115.21051 " height="77.27367 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-82-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;([xshift=3pt]</span><span
-class="cmtt-8">&nbsp;1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(30:2cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[red]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+([shift=(135:5pt)]</span><span
-class="cmtt-8">&nbsp;30:2cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 32--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.2 </span> <a
- id="x9-860008.2"></a>Simple Coordinates</h4>
-<!--l. 34--><p class="noindent">The simplest way to specify coordinates is as a comma-separated pair of <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;dimensions as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1cm,2pt)</span></span></span> or
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2cm,\textheight)</span></span></span>. As can be seen, different units can be mixed. The coordinate specified in this way means &#8220;1cm
-to the right and 2pt up from the origin of the picture.&#8221; You can also write things like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1cm+2pt,2pt)</span></span></span> since the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">calc</span></span></span>
-package is used.
-<!--l. 42--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.3 </span> <a
- id="x9-870008.3"></a>Polar Coordinates</h4>
-<!--l. 44--><p class="noindent">You can also specify coordinates in polar coordinates. In this case, you specify an angle and a distance, separated by
-a colon as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(30:1cm)</span></span></span>. The angle must always be given in degrees and should be between <span
-class="cmsy-10">-</span>360 and
-720.
-<!--l. 49--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-83-" ><colgroup id="TBL-83-1g"><col
-id="TBL-83-1"><col
-id="TBL-83-2"></colgroup><tr
- valign="baseline" id="TBL-83-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-83-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-86.svg" width="72.32451 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-83-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0cm,0cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(60:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(90:1cm)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(120:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(150:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(180:1cm);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 54--><p class="indent"> Instead of an angle given as a number you can also use certain words. For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">up</span></span></span> is the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">90</span></span></span>, so that
-you can write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\tikz</span><span
-class="cmtt-10">&nbsp;\draw</span><span
-class="cmtt-10">&nbsp;(0,0)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;(2ex,0pt)</span><span
-class="cmtt-10">&nbsp;--</span><span
-class="cmtt-10">&nbsp;+(up:1ex);</span></span></span> and get <object data="pgfmanual-87.svg" width="13.01471 " height="7.27402 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. Apart from <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">up</span></span></span> you can use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">down</span></span></span>,
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">left</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">right</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">west</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">east</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;east</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">north</span><span
-class="cmtt-10">&nbsp;west</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;east</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">south</span><span
-class="cmtt-10">&nbsp;west</span></span></span>, all of which have their
-natural meaning.
-
-
-<!--l. 64--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.4 </span> <a
- id="x9-880008.4"></a>Xy- and Xyz-Coordinates</h4>
-<!--l. 66--><p class="noindent">You can specify coordinates in <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&#8217;s <span
-class="cmmi-10">xy</span>-coordinate system. In this case, you provide two unit-free numbers,
-separated by a comma as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,-3)</span></span></span>. This means &#8220;add twice the current <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;<span
-class="cmmi-10">x</span>-vector and subtract three times the
-<span
-class="cmmi-10">y</span>-vector.&#8221; By default, the <span
-class="cmmi-10">x</span>-vector points 1cm to the right, the <span
-class="cmmi-10">y</span>-vector points 1cm upwards, but this can be
-changed arbitrarily using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> and&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">y</span></span></span> graphic options.
-<!--l. 73--><p class="indent"> Similarly, you can specify coordinates in the <span
-class="cmmi-10">xyz</span>-coordinate system. The only difference to the <span
-class="cmmi-10">xy</span>-coordinates is
-that you specify three numbers separated by commas as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(1,2,3)</span></span></span>. This is interpreted as &#8220;once the <span
-class="cmmi-10">x</span>-vector plus
-twice the <span
-class="cmmi-10">y</span>-vector plus three times the <span
-class="cmmi-10">z</span>-vector.&#8221; The default <span
-class="cmmi-10">z</span>-vector points to <span class="big"><img
-src="pgfmanual17x.gif" alt="(" class="left" align="middle"></span><span
-class="cmsy-10">-</span><img
-src="pgfmanual18x.gif" alt=" 1
- V~ 2" class="frac" align="middle">cm<span
-class="cmmi-10">,</span><span
-class="cmsy-10">-</span><img
-src="pgfmanual19x.gif" alt=" 1
- V~ 2" class="frac" align="middle">cm<span class="big"><img
-src="pgfmanual20x.gif" alt=")" class="left" align="middle"></span>. Consider the
-following example:
-<!--l. 82--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-84-" ><colgroup id="TBL-84-1g"><col
-id="TBL-84-1"><col
-id="TBL-84-2"></colgroup><tr
- valign="baseline" id="TBL-84-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-84-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-88.svg" width="54.07564 " height="54.07564 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-84-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[-&gt;]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,1,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 91--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.5 </span> <a
- id="x9-890008.5"></a>Node Coordinates</h4>
-<!--l. 94--><p class="noindent">In <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;and in Ti<span
-class="cmti-10">k</span>Z&nbsp;it is quite easy to define a node that you wish to reference at a later point. Once you have
-defined a node, there are different ways of referencing points of the node.
-<!--l. 99--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">8.5.1 </span> <a
- id="x9-900008.5.1"></a>Named Anchor Coordinates</h5>
-<!--l. 101--><p class="noindent">An <span
-class="cmti-10">anchor coordinate </span>is a point in a node that you have previously defined using the node operation.
-The syntax is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">anchor</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt; </span>is the name that was previously used
-to name the node using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">name=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt; </span>option or the special node name syntax. Here is an
-example:
-<!--l. 108--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-89.svg" width="411.91475 " height="97.40599 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-85-" ><colgroup id="TBL-85-1g"><col
-id="TBL-85-1"></colgroup><tr
- valign="baseline" id="TBL-85-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-85-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(shape)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{|class</span><span
-class="cmtt-8">&nbsp;Shape|};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(rect)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(-2,0)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{|class</span><span
-class="cmtt-8">&nbsp;Rectangle|};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(circle)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{|class</span><span
-class="cmtt-8">&nbsp;Circle|};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(ellipse)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{|class</span><span
-class="cmtt-8">&nbsp;Ellipse|};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(circle.north)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(0,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(ellipse.north)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(0,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-open</span><span
-class="cmtt-8">&nbsp;triangle</span><span
-class="cmtt-8">&nbsp;90]</span><span
-class="cmtt-8">&nbsp;(rect.north)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(shape.south);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 121--><p class="indent"> Section&nbsp;<a
-href="pgfmanualse11.html#x12-14600011.8">11.8<!--tex4ht:ref: section-the-shapes --></a> explain which anchors are available for the basic shapes.
-<!--l. 127--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">8.5.2 </span> <a
- id="x9-910008.5.2"></a>Angle Anchor Coordinates</h5>
-<!--l. 129--><p class="noindent">In addition to the named anchors, it is possible to use the syntax <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">node name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">angle</span><span
-class="cmsy-10">&gt; </span>to name a point of the
-node&#8217;s border. This point is the coordinate where a ray shot from the center in the given angle hits the border. Here
-is an example:
-
-
-<!--l. 134--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-86-" ><colgroup id="TBL-86-1g"><col
-id="TBL-86-1"><col
-id="TBL-86-2"></colgroup><tr
- valign="baseline" id="TBL-86-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-86-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-90.svg" width="122.11864 " height="102.10773 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-86-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(start)</span><span
-class="cmtt-8">&nbsp;[draw,shape=ellipse]</span><span
-class="cmtt-8">&nbsp;{start};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\foreach</span><span
-class="cmtt-8">&nbsp;\angle</span><span
-class="cmtt-8">&nbsp;in</span><span
-class="cmtt-8">&nbsp;{-90,</span><span
-class="cmtt-8">&nbsp;-80,</span><span
-class="cmtt-8">&nbsp;...,</span><span
-class="cmtt-8">&nbsp;90}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(start.\angle)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(\angle:1cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-1,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(2.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 143--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">8.5.3 </span> <a
- id="x9-920008.5.3"></a>Anchor-Free Node Coordinates</h5>
-<!--l. 145--><p class="noindent">It is also possible to just &#8220;leave out&#8221; the anchor and have Ti<span
-class="cmti-10">k</span>Z&nbsp;calculate an appropriate border position for you.
-Here is an example:
-<!--l. 148--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-91.svg" width="293.29953 " height="191.35088 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-87-" ><colgroup id="TBL-87-1g"><col
-id="TBL-87-1"></colgroup><tr
- valign="baseline" id="TBL-87-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-87-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[fill=blue!20]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(-1,-2)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(6,3);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node(a)</span><span
-class="cmtt-8">&nbsp;[ellipse,rotate=10,draw,fill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{An</span><span
-class="cmtt-8">&nbsp;ellipse}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(3,-1)</span><span
-class="cmtt-8">&nbsp;node(b)</span><span
-class="cmtt-8">&nbsp;[circle,draw,fill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{A</span><span
-class="cmtt-8">&nbsp;circle}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,2)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node(c)</span><span
-class="cmtt-8">&nbsp;[rectangle,rotate=20,draw,fill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{A</span><span
-class="cmtt-8">&nbsp;rectangle}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(5,2)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node(d)</span><span
-class="cmtt-8">&nbsp;[rectangle,rotate=-30,draw,fill]</span><span
-class="cmtt-8">&nbsp;{Another</span><span
-class="cmtt-8">&nbsp;rectangle};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(d);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick,red,-&gt;]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;+(1,3)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[thick,blue,&lt;-&gt;]</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(right:2cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(down:1cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(d);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 161--><p class="indent"> Ti<span
-class="cmti-10">k</span>Z&nbsp;will be reasonably clever at determining the border points that you &#8220;mean,&#8221; but, naturally, this may fail
-in some situations. If Ti<span
-class="cmti-10">k</span>Z&nbsp;fails to determine an appropriate border point, the center will be used
-instead.
-<!--l. 166--><p class="indent"> Automatic computation of anchors works only with the line-to operations <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>, the vertical/horizontal
-versions <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">|-</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-|</span></span></span>, and with the curve-to operation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span>. For other path commands, such as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parabola</span></span></span>
-or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span>, the center will be used. If this is not desired, you should give a named anchor or an angle
-anchor.
-<!--l. 172--><p class="indent"> Note that if you use an automatic coordinate for both the start and the end of a line-to, as in <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--(b)--</span></span></span>, then <span
-class="cmti-10">two</span>
-border coordinates are computed with a move-to between them. This is usually exactly what you
-want.
-<!--l. 177--><p class="indent"> If you use relative coordinates together with automatic anchor coordinates, the relative coordinates are always
-computed relative to the node&#8217;s center, not relative to the border point. Here is an example:
-<!--l. 182--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-88-" ><colgroup id="TBL-88-1g"><col
-id="TBL-88-1"><col
-id="TBL-88-2"></colgroup><tr
- valign="baseline" id="TBL-88-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-88-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-92.svg" width="57.24742 " height="48.46964 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td>
- <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-88-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node(x)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{Text}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 188--><p class="indent"> Similarly, in the following examples both control points are (1<span
-class="cmmi-10">,</span>1):
-
-
-<!--l. 190--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-89-" ><colgroup id="TBL-89-1g"><col
-id="TBL-89-1"><col
-id="TBL-89-2"></colgroup><tr
- valign="baseline" id="TBL-89-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-89-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-93.svg" width="96.02821 " height="48.46964 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td>
- <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-89-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node(x)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{X}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;node(y)</span><span
-class="cmtt-8">&nbsp;{Y}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(x)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(-1,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(y);</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 197--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.6 </span> <a
- id="x9-930008.6"></a>Intersection Coordinates</h4>
-<!--l. 200--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">8.6.1 </span> <a
- id="x9-940008.6.1"></a>Intersection of Two Lines</h5>
-<!--l. 202--><p class="noindent">Often you wish to specify a point that is on the intersection of two lines. The first way to specify such an
-intersection is the following: You can use the special syntax <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(intersection</span><span
-class="cmtt-10">&nbsp;of</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">p</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">p</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;and</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">q</span><sub ><span
-class="cmr-7">1</span></sub><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmmi-10">q</span><sub ><span
-class="cmr-7">2</span></sub><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>. This
-will yield the intersection point of the line going through <span
-class="cmmi-10">p</span><sub ><span
-class="cmr-7">1</span></sub> and <span
-class="cmmi-10">p</span><sub ><span
-class="cmr-7">2</span></sub> and the line through <span
-class="cmmi-10">q</span><sub ><span
-class="cmr-7">1</span></sub> and <span
-class="cmmi-10">q</span><sub ><span
-class="cmr-7">2</span></sub>. If the lines do
-not meet or if they are identical and arithmetical overflow error will result.
-<!--l. 211--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-90-" ><colgroup id="TBL-90-1g"><col
-id="TBL-90-1"><col
-id="TBL-90-2"></colgroup><tr
- valign="baseline" id="TBL-90-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-90-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-94.svg" width="115.34386 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-90-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(A)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,2)</span><span
-class="cmtt-8">&nbsp;coordinate</span><span
-class="cmtt-8">&nbsp;(B)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,2)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill[red]</span><span
-class="cmtt-8">&nbsp;(intersection</span><span
-class="cmtt-8">&nbsp;of</span><span
-class="cmtt-8">&nbsp;A--B</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;1,2--3,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(2pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 221--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">8.6.2 </span> <a
- id="x9-950008.6.2"></a>Intersection of Horizontal and Vertical Lines</h5>
-<!--l. 223--><p class="noindent">A frequent special case of intersections is the intersection of a vertical line going through a point <span
-class="cmmi-10">p </span>and a horizontal
-line going through some other point <span
-class="cmmi-10">q</span>. For this situation there is a special, shorter, syntax: You can say either
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">p</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;|-</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">q</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">q</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">&nbsp;-|</span><span
-class="cmtt-10">&nbsp;</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">p</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>.
-<!--l. 230--><p class="indent"> For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,1</span><span
-class="cmtt-10">&nbsp;|-</span><span
-class="cmtt-10">&nbsp;3,4)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(3,4</span><span
-class="cmtt-10">&nbsp;-|</span><span
-class="cmtt-10">&nbsp;2,1)</span></span></span> both yield the same as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(2,4)</span></span></span> (provided the <span
-class="cmmi-10">xy</span>-coordinate
-system has not been modified).
-<!--l. 234--><p class="indent"> The most useful application of the syntax is to draw a line up to some point on a vertical or horizontal line. Here
-is an example:
-<!--l. 237--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-91-" ><colgroup id="TBL-91-1g"><col
-id="TBL-91-1"><col
-id="TBL-91-2"></colgroup><tr
- valign="baseline" id="TBL-91-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-91-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-95.svg" width="95.37755 " height="72.6225 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-91-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path</span><span
-class="cmtt-8">&nbsp;(30:1cm)</span><span
-class="cmtt-8">&nbsp;node(p1)</span><span
-class="cmtt-8">&nbsp;{$p_1$}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(75:1cm)</span><span
-class="cmtt-8">&nbsp;node(p2)</span><span
-class="cmtt-8">&nbsp;{$p_2$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-0.2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1.2,0)</span><span
-class="cmtt-8">&nbsp;node(xline)[right]</span><span
-class="cmtt-8">&nbsp;{$q_1$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(2,-0.2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1.2)</span><span
-class="cmtt-8">&nbsp;node(yline)[above]</span><span
-class="cmtt-8">&nbsp;{$q_2$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(p1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(p1</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;xline);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(p2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(p2</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;xline);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(p1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(p1</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;yline);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(p2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(p2</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;yline);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 253--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">8.7 </span> <a
- id="x9-960008.7"></a>Relative and Incremental Coordinates</h4>
-<!--l. 255--><p class="noindent">You can prefix coordinates by <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++</span></span></span> to make them &#8220;relative.&#8221; A coordinate such as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++(1cm,0pt)</span></span></span> means &#8220;1cm to the
-right of the previous position.&#8221; Relative coordinates are often useful in &#8220;local&#8221; contexts:
-<!--l. 260--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-92-" ><colgroup id="TBL-92-1g"><col
-id="TBL-92-1"><col
-id="TBL-92-2"></colgroup><tr
- valign="baseline" id="TBL-92-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-92-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-96.svg" width="115.34386 " height="96.37543 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-92-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1.5,1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(-1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 268--><p class="indent"> Instead of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">++</span></span></span> you can also use a single <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span>. This also specifies a relative coordinate, but it does not &#8220;update&#8221; the
-current point for subsequent usages of relative coordinates. Thus, you can use this notation to specify numerous
-points, all relative to the same &#8220;initial&#8221; point:
-<!--l. 274--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-93-" ><colgroup id="TBL-93-1g"><col
-id="TBL-93-1"><col
-id="TBL-93-2"></colgroup><tr
- valign="baseline" id="TBL-93-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-93-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-97.svg" width="115.34386 " height="96.37543 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-93-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1.5,1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 282--><p class="indent"> There is one special situation, where relative coordinates are interpreted differently. If you use a relative
-coordinate as a control point of a B&eacute;zier curve, the following rule applies: First, a relative first control point is
-taken relative to the beginning of the curve. Second, a relative second control point is taken relative
-to the end of the curve. Third, a relative end point of a curve is taken relative to the start of the
-curve.
-<!--l. 290--><p class="indent"> This special behavior makes it easy to specify that a curve should &#8220;leave or arrives from a certain
-direction&#8221; at the start or end. In the following example, the curve &#8220;leaves&#8221; at 30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup> and &#8220;arrives&#8221; at
-60<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>:
-<!--l. 295--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-94-" ><colgroup id="TBL-94-1g"><col
-id="TBL-94-1"><col
-id="TBL-94-2"></colgroup><tr
- valign="baseline" id="TBL-94-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-94-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-98.svg" width="96.37543 " height="58.43857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-94-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;+(30:1cm)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;+(60:1cm)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(3,-1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray,-&gt;]</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(30:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[gray,&lt;-]</span><span
-class="cmtt-8">&nbsp;(3,-1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(60:1cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse9.html" >next</a>] [<a
-href="pgfmanualse7.html" >prev</a>] [<a
-href="pgfmanualse7.html#tailpgfmanualse7.html" >prev-tail</a>] [<a
-href="pgfmanualse8.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse8.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse8.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse9.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse9.html
deleted file mode 100644
index 9f7e7eefd84..00000000000
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse9.html
+++ /dev/null
@@ -1,4719 +0,0 @@
-<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
- "http://www.w3.org/TR/html4/loose.dtd">
-<html >
-<head><title>9 Syntax for Path Specifications</title>
-<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
-<meta name="generator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<meta name="originator" content="TeX4ht (http://www.cis.ohio-state.edu/~gurari/TeX4ht/mn.html)">
-<!-- html -->
-<meta name="src" content="pgfmanual.tex">
-<meta name="date" content="2005-11-15 18:41:00">
-<link rel="stylesheet" type="text/css" href="pgfmanual.css">
-</head><body
->
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse10.html" >next</a>] [<a
-href="pgfmanualse8.html" >prev</a>] [<a
-href="pgfmanualse8.html#tailpgfmanualse8.html" >prev-tail</a>] [<a
-href="#tailpgfmanualse9.html">tail</a>] [<a
-href="pgfmanual.html#pgfmanualse9.html" >up</a>] </p></div>
- <h3 class="sectionHead"><span class="titlemark">9 </span> <a
- id="x10-970009"></a>Syntax for Path Specifications</h3>
-<!--l. 10--><p class="noindent">A <span
-class="cmti-10">path </span>is a series of straight and curved line segments. It is specified following a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> command and
-the specification must follow a special syntax, which is described in the subsections of the present
-section.
-<!--l. 16--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox25"><span
-class="cmtt-10">\path</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">;</span></span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-97001"></a>
- <!--l. 17--><p class="noindent">This command is available only inside a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{tikzpicture}</span></span></span> environment.
- <!--l. 19--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt; </span>is a long stream of <span
-class="cmti-10">path operations</span>. Most of these path operations tell Ti<span
-class="cmti-10">k</span>Z&nbsp;how
- the path is build. For example, when you write <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--(0,0)</span></span></span>, you use a <span
-class="cmti-10">line-to operation </span>and it means
- &#8220;continue the path from wherever you are to the origin.&#8221;
- <!--l. 25--><p class="noindent">At any point where Ti<span
-class="cmti-10">k</span>Z&nbsp;expects a path operation, you can also give some graphic options, which
- is a list of options in brackets, such as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[rounded</span><span
-class="cmtt-10">&nbsp;corners]</span></span></span>. These options can have different
- effects:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x10-97003x1"></a>Some options take &#8220;immediate&#8221; effect and apply to all subsequent path operations on the path.
- For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rounded</span><span
-class="cmtt-10">&nbsp;corners</span></span></span> option will round all following corners, but not the corners
- &#8220;before&#8221; and if the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sharp</span><span
-class="cmtt-10">&nbsp;corners</span></span></span> is given later on the path (in a new set of brackets), the
- rounding effect will end.
- <!--l. 37--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-95-" ><colgroup id="TBL-95-1g"><col
-id="TBL-95-1"><col
-id="TBL-95-2"></colgroup><tr
- valign="baseline" id="TBL-95-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-95-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-99.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-95-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[rounded</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[sharp</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 42--><p class="noindent">Another example are the transformation options, which also apply only to subsequent coordinates.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x10-97005x2"></a>The options that have immediate effect can be &#8220;scoped&#8221; by putting part of a path in curly braces. For
- example, the above example could also be written as follows:
- <!--l. 49--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-96-" ><colgroup id="TBL-96-1g"><col
-id="TBL-96-1"><col
-id="TBL-96-2"></colgroup><tr
- valign="baseline" id="TBL-96-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-96-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-100.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-96-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{[rounded</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="enumerate" value="3"
-><a
- id="x10-97007x3"></a>Some options only apply to the path as a whole. For example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=</span></span></span> option for determining the
- color used for, say, drawing the path always applies to all parts of the path. If several different
- colors are given for different parts of the path, only the last one (on the outermost scope)
- &#8220;wins&#8221;:
- <!--l. 61--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-97-" ><colgroup id="TBL-97-1g"><col
-id="TBL-97-1"><col
-id="TBL-97-2"></colgroup><tr
- valign="baseline" id="TBL-97-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-97-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-101.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-97-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[color=red]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[color=blue]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 67--><p class="noindent">Most options are of this type. In the above example, we would have had to &#8220;split up&#8221; the path into
- several <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> commands:
-
-
- <!--l. 69--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-98-" ><colgroup id="TBL-98-1g"><col
-id="TBL-98-1"><col
-id="TBL-98-2"></colgroup><tr
- valign="baseline" id="TBL-98-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-98-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-102.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-98-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br><span
-class="cmtt-8">\tikz{\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[color=red]</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[color=blue]</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1);}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ol>
- <!--l. 76--><p class="noindent">By default, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path</span></span></span> command does &#8220;nothing&#8221; with the path, it just &#8220;throws it away.&#8221; Thus, if you write
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\path(0,0)--(1,1);</span></span></span>, nothing is drawn in your picture. The only effect is that the area occupied by the
- picture is (possibly) enlarged so that the path fits inside the area. To actually &#8220;do&#8221; something with the path,
- an option like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span> must be given somewhere on the path. Commands like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span></span></span> do this
- implicitly.
- <!--l. 85--><p class="noindent">Finally, it is also possible to give <span
-class="cmti-10">node specifications </span>on a path. Such specifications can come at
- different locations, but they are always allowed when a normal path operation could follow. A
- node specification starts with <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span>. Basically, the effect is to typeset the node&#8217;s text as normal
- <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;text and to place it at the &#8220;current location&#8221; on the path. The details are explained in
- Section&nbsp;<a
-href="pgfmanualse11.html#x12-13600011">11<!--tex4ht:ref: section-nodes --></a>.
- <!--l. 93--><p class="noindent">Note, however, that the nodes are <span
-class="cmti-10">not </span>part of the path in any way. Rather, after everything has been done
- with the path what is specified by the path options (like filling and drawing the path due to a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">fill</span></span></span>
- and a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option somewhere in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">specification</span><span
-class="cmsy-10">&gt;</span>), the nodes are added in a post-processing
- step.
- <!--l. 100--><p class="noindent">The following style influences scopes:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every path</span><a
- id="dx10-97008"></a><a
- id="dx10-97009"></a> This style is installed at the beginning of every path. This can be useful for
- (temporarily) adding, say, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">draw</span></span></span> option to everything in a scope.
- <!--l. 106--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-99-" ><colgroup id="TBL-99-1g"><col
-id="TBL-99-1"><col
-id="TBL-99-2"></colgroup><tr
- valign="baseline" id="TBL-99-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-99-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-103.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-99-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[fill=examplefill]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;only</span><span
-class="cmsltt-10x-x-80">&nbsp;sets</span><span
-class="cmsltt-10x-x-80">&nbsp;the</span><span
-class="cmsltt-10x-x-80">&nbsp;color</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;path}=[draw]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;all</span><span
-class="cmsltt-10x-x-80">&nbsp;paths</span><span
-class="cmsltt-10x-x-80">&nbsp;are</span><span
-class="cmsltt-10x-x-80">&nbsp;drawn</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\fill</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\shade</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </dd></dl>
-<!--l. 119--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.1 </span> <a
- id="x10-980009.1"></a>The Move-To Operation</h4>
-<!--l. 121--><p class="noindent">The perhaps simplest operation is the move-to operation, which is specified by just giving a coordinate where a path
-operation is expected.
-<!--l. 125--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox26"><span id="textcolor27"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor28">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-98001"></a>
-<a
- id="dx10-98002"></a>
- <!--l. 128--><p class="noindent">The move-to operation normally starts a path at a certain point. This does not cause a line segment
- to be created, but it specifies the starting point of the next segment. If a path is already under
- construction, that is, if several segments have already been created, a move-to operation will start a
- new part of the path that is not connected to any of the previous segments.
- <!--l. 135--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-100-" ><colgroup id="TBL-100-1g"><col
-id="TBL-100-1"><col
-id="TBL-100-2"></colgroup><tr
- valign="baseline" id="TBL-100-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-100-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-104.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-100-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--(2,0)</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--(2,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- <!--l. 141--><p class="noindent">In the specification <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span><span
-class="cmtt-10">&nbsp;--(2,0)</span><span
-class="cmtt-10">&nbsp;(0,1)</span><span
-class="cmtt-10">&nbsp;--(2,1)</span></span></span> two move-to operations are specified: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,0)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(0,1)</span></span></span>.
- The other two operations, namely <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--(2,0)</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--(2,1)</span></span></span> are line-to operations, described next.
- </dd></dl>
-<!--l. 148--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.2 </span> <a
- id="x10-990009.2"></a>The Line-To Operation</h4>
-<!--l. 151--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.2.1 </span> <a
- id="x10-1000009.2.1"></a>Straight Lines</h5>
-<!--l. 153--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox29"><span id="textcolor30"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">--</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor31">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-100001"></a>
-<a
- id="dx10-100002"></a>
- <!--l. 154--><p class="noindent">The line-to operation extends the current path from the current point in a straight line to the given
- coordinate. The &#8220;current point&#8221; is the endpoint of the previous drawing operation or the point specified
- by a prior move-to operation.
- <!--l. 159--><p class="noindent">You use two minus signs followed by a coordinate in round brackets. You can add spaces before and
- after the&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span>.
- <!--l. 162--><p class="noindent">When a line-to operation is used and some path segment has just been constructed, for example by
- another line-to operation, the two line segments become joined. This means that if they are drawn, the
- point where they meet is &#8220;joined&#8221; smoothly. To appreciate the difference, consider the following two
- examples: In the left example, the path consists of two path segments that are not joined, but that
- happen to share a point, while in the right example a smooth join is shown.
- <!--l. 170--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-105.svg" width="204.0175 " height="64.5719 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-101-" ><colgroup id="TBL-101-1g"><col
-id="TBL-101-1"></colgroup><tr
- valign="baseline" id="TBL-101-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-101-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[line</span><span
-class="cmtt-8">&nbsp;width=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--(1,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--(2,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;higher</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 181--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.2.2 </span> <a
- id="x10-1010009.2.2"></a>Horizontal and Vertical Lines</h5>
-<!--l. 183--><p class="noindent">Sometimes you want to connect two points via straight lines that are only horizontal and vertical. For this, you can
-use two path construction operations.
-<!--l. 188--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox32"><span id="textcolor33"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">-|</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor34">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-101001"></a>
-<a
- id="dx10-101002"></a>
- <!--l. 191--><p class="noindent">This operation means &#8220;first horizontal, then vertical.&#8221;
- <!--l. 193--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-102-" ><colgroup id="TBL-102-1g"><col
-id="TBL-102-1"><col
-id="TBL-102-2"></colgroup><tr
- valign="baseline" id="TBL-102-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-102-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-106.svg" width="86.85094 " height="67.43805 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-102-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;node(a)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;node(b)</span><span
-class="cmtt-8">&nbsp;[draw]</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(a.north)</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(b.west);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red]</span><span
-class="cmtt-8">&nbsp;(a.east)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(2,1.5)</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(b.north);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
- </dd></dl>
-<!--l. 201--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox35"><span id="textcolor36"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">|-</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor37">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-101003"></a>
-<a
- id="dx10-101004"></a>
- <!--l. 204--><p class="noindent">This operations means &#8220;first vertical, then horizontal.&#8221; </dd></dl>
-<!--l. 209--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.2.3 </span> <a
- id="x10-1020009.2.3"></a>Snaked Lines</h5>
-<!--l. 212--><p class="noindent">The line-to operation can not only be used to append straight lines to the path, but also &#8220;snaked&#8221; lines (called thus
-because they look a little bit like snakes seen from above).
-<!--l. 216--><p class="indent"> Ti<span
-class="cmti-10">k</span>Z&nbsp;and <span
-class="cmcsc-10"><small
-class="small-caps">P</small><small
-class="small-caps">G</small><small
-class="small-caps">F</small></span>&nbsp;use a concept that I termed <span
-class="cmti-10">snakes </span>for appending such &#8220;squiggly&#8221; lines. A snake specifies a way
-of extending a path between two points in a &#8220;fancy manner.&#8221;
-<!--l. 220--><p class="indent"> Normally, a snake will just connect the start point to the end point without starting new subpaths. Thus, a path
-containing a snaked line can, nevetheless, still be used for filling. However, this is not always the case. Some snakes
-consist of numerous unconnected segments. &#8220;Lines&#8221; consisting of such snakes cannot be used as the borders of
-enclosed areas.
-<!--l. 227--><p class="indent"> Here are some examples of snakes in action:
-<!--l. 229--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-103-" ><colgroup id="TBL-103-1g"><col
-id="TBL-103-1"><col
-id="TBL-103-2"></colgroup><tr
- valign="baseline" id="TBL-103-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-103-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-107.svg" width="115.87718 " height="128.8768 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-103-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[thick]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,3)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,3);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,2.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,2.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,2)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=triangles]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil,segment</span><span
-class="cmtt-8">&nbsp;length=4pt]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil,segment</span><span
-class="cmtt-8">&nbsp;aspect=0]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,.5)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=expanding</span><span
-class="cmtt-8">&nbsp;waves,segment</span><span
-class="cmtt-8">&nbsp;angle=7]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 241--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-104-" ><colgroup id="TBL-104-1g"><col
-id="TBL-104-1"><col
-id="TBL-104-2"></colgroup><tr
- valign="baseline" id="TBL-104-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-104-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-108.svg" width="121.98506 " height="84.05968 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-104-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=red!20,snake=bumps]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 247--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-105-" ><colgroup id="TBL-105-1g"><col
-id="TBL-105-1"><col
-id="TBL-105-2"></colgroup><tr
- valign="baseline" id="TBL-105-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-105-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-109.svg" width="120.22421 " height="84.07007 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-105-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\filldraw[fill=blue!20]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,3)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[snake=saw]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,3)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[snake=coil,segment</span><span
-class="cmtt-8">&nbsp;aspect=0]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[snake=bumps]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;-|</span><span
-class="cmtt-8">&nbsp;(0,3);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-
-
-<!--l. 256--><p class="indent"> No special path operation is needed to use a snake. Instead, you use the following option to &#8220;switch on&#8221;
-snaking:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">snake</span><a
- id="dx10-102001"></a><a
- id="dx10-102002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake name</span><span
-class="cmsy-10">&gt;</span> This option causes the snake <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake name</span><span
-class="cmsy-10">&gt; </span>to be used for subsequent line-to
- operations. So, whenever you use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span> syntax to specify that a straight line should be added to the
- path, a snake to this path will be added instead. Snakes will also be used when you use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-|</span></span></span> and
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">|-</span></span></span> syntax and also when you use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">rectangle</span></span></span> operation. Snakes will <span
-class="cmti-10">not </span>be used when you use the
- curve-to operation nor when any other &#8220;curved&#8221; line is added to the path.
- <!--l. 270--><p class="noindent">This option has to be given anew for each path. However, you can also leave out the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake name</span><span
-class="cmsy-10">&gt;</span>. In
- this case, the enclosing scope&#8217;s <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake name</span><span
-class="cmsy-10">&gt; </span>is used. Thus, you can specify a &#8220;standard&#8221; snake name
- for scope and then just say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw[snake]</span></span></span> every time this snake should actually be used.
- <!--l. 276--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake name</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">none</span></span></span> is special. It can be used to switch off snaking after it has been switched on
- on a path.
- <!--l. 279--><p class="noindent">A bit strangely, no valid <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">snake names</span><span
-class="cmsy-10">&gt; </span>are defined by Ti<span
-class="cmti-10">k</span>Z&nbsp;by default. Instead, you have to include
- the library package <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibrarysnakes</span></span></span>. This package defines numerous snakes, see Section&nbsp;<a
-href="pgfmanualse14.html#x15-16700014.2">14.2<!--tex4ht:ref: section-library-snakes --></a> for
- the complete list.</li></ul>
-<!--l. 285--><p class="indent"> Most snakes can be configured. For example, for a snake that looks like a sine curve, you might wish to change
-the amplitude or the frequency. There are numerous options that influence these parameters. Not all options apply
-to all snakes, see Section&nbsp;<a
-href="pgfmanualse14.html#x15-16700014.2">14.2<!--tex4ht:ref: section-library-snakes --></a> once more for details.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">gap before snakes</span><a
- id="dx10-102003"></a><a
- id="dx10-102004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option allows you to add a certain &#8220;gap&#8221; to the snake at its beginning.
- The snake will not start at the current point; instead the start point of the snake is move be <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>in
- the direction of the target.
- <!--l. 297--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-106-" ><colgroup id="TBL-106-1g"><col
-id="TBL-106-1"><col
-id="TBL-106-2"></colgroup><tr
- valign="baseline" id="TBL-106-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-106-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-110.svg" width="115.21051 " height="77.45523 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-106-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag,gap</span><span
-class="cmtt-8">&nbsp;before</span><span
-class="cmtt-8">&nbsp;snake=1cm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">gap after snake</span><a
- id="dx10-102005"></a><a
- id="dx10-102006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option has the same effect as <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gap</span><span
-class="cmtt-10">&nbsp;before</span><span
-class="cmtt-10">&nbsp;snake</span></span></span>, only it affects the end
- of the snake, which will &#8220;end early.&#8221;
- </li>
- <li class="itemize"><span
-class="cmtt-10">gap around snake</span><a
- id="dx10-102007"></a><a
- id="dx10-102008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option sets the gap before and after the gap to <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>.
- <!--l. 310--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-107-" ><colgroup id="TBL-107-1g"><col
-id="TBL-107-1"><col
-id="TBL-107-2"></colgroup><tr
- valign="baseline" id="TBL-107-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-107-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-111.svg" width="115.21051 " height="78.32304 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-107-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace,gap</span><span
-class="cmtt-8">&nbsp;around</span><span
-class="cmtt-8">&nbsp;snake=5mm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">line before snake</span><a
- id="dx10-102009"></a><a
- id="dx10-102010"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gap</span><span
-class="cmtt-10">&nbsp;before</span><span
-class="cmtt-10">&nbsp;snake</span></span></span>, only it will connect the current
- point with a straight line to the start of the snake.
-
-
- <!--l. 320--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-108-" ><colgroup id="TBL-108-1g"><col
-id="TBL-108-1"><col
-id="TBL-108-2"></colgroup><tr
- valign="baseline" id="TBL-108-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-108-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-112.svg" width="115.21051 " height="77.45523 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-108-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag,line</span><span
-class="cmtt-8">&nbsp;before</span><span
-class="cmtt-8">&nbsp;snake=1cm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">line after snake</span><a
- id="dx10-102011"></a><a
- id="dx10-102012"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Works line <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gap</span><span
-class="cmtt-10">&nbsp;after</span><span
-class="cmtt-10">&nbsp;snake</span></span></span>, only it adds a straight line.
- </li>
- <li class="itemize"><span
-class="cmtt-10">line around snake</span><a
- id="dx10-102013"></a><a
- id="dx10-102014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Works line <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gap</span><span
-class="cmtt-10">&nbsp;around</span><span
-class="cmtt-10">&nbsp;snake</span></span></span>, only it adds straight lines.
- </li>
- <li class="itemize"><span
-class="cmtt-10">raise snake</span><a
- id="dx10-102015"></a><a
- id="dx10-102016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option can be used with all snakes. It will offset the snake by &#8220;raising&#8221; it by
- <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span>. A negative <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>will lower the snake. Raising and lowering is always relative to the line
- along which the snake is drawn. Here is an example:
- <!--l. 336--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-109-" ><colgroup id="TBL-109-1g"><col
-id="TBL-109-1"><col
-id="TBL-109-2"></colgroup><tr
- valign="baseline" id="TBL-109-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-109-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-113.svg" width="95.48378 " height="56.93579 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-109-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace,raise</span><span
-class="cmtt-8">&nbsp;snake=5pt,red]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">mirror snake</span><a
- id="dx10-102017"></a><a
- id="dx10-102018"></a> This option causes the snake to be &#8220;reflected along the path.&#8221; This is best understood by
- looking at an example:
- <!--l. 348--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-110-" ><colgroup id="TBL-110-1g"><col
-id="TBL-110-1"><col
-id="TBL-110-2"></colgroup><tr
- valign="baseline" id="TBL-110-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-110-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-114.svg" width="95.48378 " height="56.93579 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-110-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=brace,mirror</span><span
-class="cmtt-8">&nbsp;snake,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 357--><p class="noindent">This option can be used with every snake and can be combined with the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">raise</span><span
-class="cmtt-10">&nbsp;snake</span></span></span> option.
- </li>
- <li class="itemize"><span
-class="cmtt-10">segment amplitude</span><a
- id="dx10-102019"></a><a
- id="dx10-102020"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option sets the &#8220;amplitude&#8221; of the snake. For a snake that
- is a sine wave this would be the amplitude of this line. For other snakes this value typically
- describes how far the snakes &#8220;rises above&#8221; or &#8220;falls below&#8221; the path. For some snakes, this value is
- ignored.
-
-
- <!--l. 365--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-111-" ><colgroup id="TBL-111-1g"><col
-id="TBL-111-1"><col
-id="TBL-111-2"></colgroup><tr
- valign="baseline" id="TBL-111-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-111-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-115.svg" width="95.57637 " height="94.87263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-111-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{C};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag,segment</span><span
-class="cmtt-8">&nbsp;amplitude=5pt,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">segment length</span><a
- id="dx10-102021"></a><a
- id="dx10-102022"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option sets the length of each &#8220;segment&#8221; of a snake. For a sine wave
- this would be the wave length, for other snakes it is the length of each &#8220;repetitive part&#8221; of the
- snake.
- <!--l. 376--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-112-" ><colgroup id="TBL-112-1g"><col
-id="TBL-112-1"><col
-id="TBL-112-2"></colgroup><tr
- valign="baseline" id="TBL-112-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-112-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-116.svg" width="95.57637 " height="94.87263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-112-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{C};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=zigzag,segment</span><span
-class="cmtt-8">&nbsp;length=20pt,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 383--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-113-" ><colgroup id="TBL-113-1g"><col
-id="TBL-113-1"><col
-id="TBL-113-2"></colgroup><tr
- valign="baseline" id="TBL-113-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-113-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-117.svg" width="95.57637 " height="94.87263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-113-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{C};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=bumps]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=bumps,segment</span><span
-class="cmtt-8">&nbsp;length=20pt,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">segment object length</span><a
- id="dx10-102023"></a><a
- id="dx10-102024"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option sets the length of the objects inside each segment of a
- snake. This option is only used for snakes in which each segment contains an object like a triangle or a
- star.
- <!--l. 394--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-114-" ><colgroup id="TBL-114-1g"><col
-id="TBL-114-1"><col
-id="TBL-114-2"></colgroup><tr
- valign="baseline" id="TBL-114-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-114-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-118.svg" width="95.57637 " height="94.87263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-114-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{C};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=triangles]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=triangles,segment</span><span
-class="cmtt-8">&nbsp;object</span><span
-class="cmtt-8">&nbsp;length=8pt,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">segment angle</span><a
- id="dx10-102025"></a><a
- id="dx10-102026"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">degrees</span><span
-class="cmsy-10">&gt; </span>This option sets an angle that is interpreted in a snake-specific way. For example,
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">waves</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">expanding</span><span
-class="cmtt-10">&nbsp;waves</span></span></span> snakes interpret this as (half the) opening angle of the wave. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">border</span></span></span>
- snake uses this value for the angle of the little ticks.
-
-
- <!--l. 406--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-115-" ><colgroup id="TBL-115-1g"><col
-id="TBL-115-1"><col
-id="TBL-115-2"></colgroup><tr
- valign="baseline" id="TBL-115-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-115-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-119.svg" width="95.48378 " height="19.6942 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-115-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[segment</span><span
-class="cmtt-8">&nbsp;amplitude=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=border]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=border,segment</span><span
-class="cmtt-8">&nbsp;angle=20,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 413--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-116-" ><colgroup id="TBL-116-1g"><col
-id="TBL-116-1"><col
-id="TBL-116-2"></colgroup><tr
- valign="baseline" id="TBL-116-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-116-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-120.svg" width="95.48378 " height="95.69038 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-116-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[segment</span><span
-class="cmtt-8">&nbsp;amplitude=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a')</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(0,-1)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b')</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{B};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=expanding</span><span
-class="cmtt-8">&nbsp;waves]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=expanding</span><span
-class="cmtt-8">&nbsp;waves,segment</span><span
-class="cmtt-8">&nbsp;angle=20,red,thick]</span><span
-class="cmtt-8">&nbsp;(a')</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b');</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">segment aspect</span><a
- id="dx10-102027"></a><a
- id="dx10-102028"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">ratio</span><span
-class="cmsy-10">&gt; </span>This option sets an aspect ratio that is interpreted in a snake-specific way. For
- example, for the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coils</span></span></span> snake this describes the &#8220;direction&#8221; from which the coil is viewed.
- <!--l. 425--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-117-" ><colgroup id="TBL-117-1g"><col
-id="TBL-117-1"><col
-id="TBL-117-2"></colgroup><tr
- valign="baseline" id="TBL-117-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-117-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-121.svg" width="95.57637 " height="94.87263 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-117-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[segment</span><span
-class="cmtt-8">&nbsp;amplitude=5pt,segment</span><span
-class="cmtt-8">&nbsp;length=5pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\node</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;{A}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(b)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;{B}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node</span><span
-class="cmtt-8">&nbsp;(c)</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;(2,-1)</span><span
-class="cmtt-8">&nbsp;{C};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(b);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[snake=coil,segment</span><span
-class="cmtt-8">&nbsp;aspect=0,red,thick]</span><span
-class="cmtt-8">&nbsp;(a)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(c);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 434--><p class="indent"> It is possible to define new snakes, but this cannot be done inside Ti<span
-class="cmti-10">k</span>Z. You need to use the command
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclaresnake</span></span></span> from the basic level directly, see Section&nbsp;<a
-href="pgfmanualse22.html#x23-22900022">22<!--tex4ht:ref: section-base-snakes --></a>.
-<!--l. 438--><p class="indent"> The following styles define combinations of segment settings that may be useful:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">snake triangles 45</span><a
- id="dx10-102029"></a><a
- id="dx10-102030"></a> Installs a snake the consists of little triangles with an opening angle of
- 45<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">snake triangles 60</span><a
- id="dx10-102031"></a><a
- id="dx10-102032"></a> Installs a snake the consists of little triangles with an opening angle of
- 60<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">snake triangles 90</span><a
- id="dx10-102033"></a><a
- id="dx10-102034"></a> Installs a snake the consists of little triangles with an opening angle of
- 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>.</li></ul>
-<!--l. 454--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.3 </span> <a
- id="x10-1030009.3"></a>The Curve-To Operation</h4>
-<!--l. 456--><p class="noindent">The curve-to operation allows you to extend a path using a B&eacute;zier curve.
-<!--l. 459--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox38"><span id="textcolor39"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">..</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">controls</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">c</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">..</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">y</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor40">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-103001"></a>
-<a
- id="dx10-103002"></a>
- <!--l. 460--><p class="noindent">This operation extends the current path from the current point, let us call it <span
-class="cmmi-10">x</span>, via a curve to a the
- current point&nbsp;<span
-class="cmmi-10">y</span>. The curve is a cubic B&eacute;zier curve. For such a curve, apart from <span
-class="cmmi-10">y</span>, you also specify
- two control points <span
-class="cmmi-10">c </span>and <span
-class="cmmi-10">d</span>. The idea is that the curve starts at <span
-class="cmmi-10">x</span>, &#8220;heading&#8221; in the direction of&nbsp;<span
-class="cmmi-10">c</span>.
- Mathematically spoken, the tangent of the curve at <span
-class="cmmi-10">x </span>goes through <span
-class="cmmi-10">c</span>. Similarly, the curve ends at <span
-class="cmmi-10">y</span>,
- &#8220;coming from&#8221; the other control point,&nbsp;<span
-class="cmmi-10">d</span>. The larger the distance between <span
-class="cmmi-10">x </span>and&nbsp;<span
-class="cmmi-10">c </span>and between <span
-class="cmmi-10">d</span>
- and&nbsp;<span
-class="cmmi-10">y</span>, the larger the curve will be.
- <!--l. 470--><p class="noindent">If the &#8220;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">d</span><span
-class="cmsy-10">&gt;</span>&#8221; part is not given, <span
-class="cmmi-10">d </span>is assumed to be equal to <span
-class="cmmi-10">c</span>.
- <!--l. 473--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-122.svg" width="204.0175 " height="52.27013 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-118-" ><colgroup id="TBL-118-1g"><col
-id="TBL-118-1"></colgroup><tr
- valign="baseline" id="TBL-118-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-118-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[line</span><span
-class="cmtt-8">&nbsp;width=10pt]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(4,0)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(5,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(5,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(4,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=gray]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(5,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,1);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 481--><p class="noindent">As with the line-to operation, it makes a difference whether two curves are joined because they resulted
- from consecutive curve-to or line-to operations, or whether they just happen to have the same
- ending:
- <!--l. 485--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-123.svg" width="204.0175 " height="64.5719 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-119-" ><colgroup id="TBL-119-1g"><col
-id="TBL-119-1"></colgroup><tr
- valign="baseline" id="TBL-119-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-119-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[line</span><span
-class="cmtt-8">&nbsp;width=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(2,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;(5,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;higher</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 495--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.4 </span> <a
- id="x10-1040009.4"></a>The Cycle Operation</h4>
-<!--l. 497--><p class="noindent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox41"><span id="textcolor42"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">--cycle</span>&nbsp;<span id="textcolor43">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-104001"></a>
-<a
- id="dx10-104002"></a>
- <!--l. 498--><p class="noindent">This operation adds a straight line from the current point to the last point specified by a move-to
- operation. Note that this need not be the beginning of the path. Furthermore, a smooth join is created
- between the first segment created after the last move-to operation and the straight line appended by
- the cycle operation.
- <!--l. 504--><p class="noindent">Consider the following example. In the left example, two triangles are created using three straight lines,
- but they are not joined at the ends. In the second example cycle operations are used.
- <!--l. 508--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-124.svg" width="317.82805 " height="64.5719 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-120-" ><colgroup id="TBL-120-1g"><col
-id="TBL-120-1"></colgroup><tr
- valign="baseline" id="TBL-120-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-120-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[line</span><span
-class="cmtt-8">&nbsp;width=10pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(5,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(6,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(6,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle</span><span
-class="cmtt-8">&nbsp;(7,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(8,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(8,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\useasboundingbox</span><span
-class="cmtt-8">&nbsp;(0,1.5);</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmsltt-10x-x-80">%</span><span
-class="cmsltt-10x-x-80">&nbsp;make</span><span
-class="cmsltt-10x-x-80">&nbsp;bounding</span><span
-class="cmsltt-10x-x-80">&nbsp;box</span><span
-class="cmsltt-10x-x-80">&nbsp;higher</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-
-
-<!--l. 519--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.5 </span> <a
- id="x10-1050009.5"></a>The Rectangle Operation</h4>
-<!--l. 521--><p class="noindent">A rectangle can obviously be created using four straight lines and a cycle operation. However, since rectangles are
-needed so often, a special syntax is available for them.
-<!--l. 525--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox44"><span id="textcolor45"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">rectangle</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor46">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-105001"></a>
-<a
- id="dx10-105002"></a>
- <!--l. 526--><p class="noindent">When this operation is used, one corner will be the current point, another corner is given by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span>,
- which becomes the new current point.
- <!--l. 530--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-121-" ><colgroup id="TBL-121-1g"><col
-id="TBL-121-1"><col
-id="TBL-121-2"></colgroup><tr
- valign="baseline" id="TBL-121-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-121-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-125.svg" width="134.31227 " height="58.43857 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-121-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v"><br>
-<span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(.5,1)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(2,0.5)</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(3.5,1.5)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 539--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.6 </span> <a
- id="x10-1060009.6"></a>Rounding Corners</h4>
-<!--l. 541--><p class="noindent">All of the path construction operations mentioned up to now are influenced by the following option:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">rounded corners</span><a
- id="dx10-106001"></a><a
- id="dx10-106002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">inset</span><span
-class="cmsy-10">&gt;</span> When this option is in force, all corners (places where a line is continued
- either via line-to or a curve-to operation) are replaced by little arcs so that the corner becomes smooth.
- <!--l. 549--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-122-" ><colgroup id="TBL-122-1g"><col
-id="TBL-122-1"><col
-id="TBL-122-2"></colgroup><tr
- valign="baseline" id="TBL-122-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-122-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-126.svg" width="153.2807 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-122-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;[rounded</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;controls</span><span
-class="cmtt-8">&nbsp;(3,1)</span><span
-class="cmtt-8">&nbsp;..</span><span
-class="cmtt-8">&nbsp;(4,0);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 554--><p class="noindent">The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">inset</span><span
-class="cmsy-10">&gt; </span>describes how big the corner is. Note that the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">inset</span><span
-class="cmsy-10">&gt; </span>is <span
-class="cmti-10">not </span>scaled along if you use a scaling option
- like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">scale=2</span></span></span>.
- <!--l. 558--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-123-" ><colgroup id="TBL-123-1g"><col
-id="TBL-123-1"><col
-id="TBL-123-2"></colgroup><tr
- valign="baseline" id="TBL-123-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-123-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-127.svg" width="54.86644 " height="34.86652 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-123-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=gray,very</span><span
-class="cmtt-8">&nbsp;thin]</span><span
-class="cmtt-8">&nbsp;(10pt,15pt)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(10pt);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[rounded</span><span
-class="cmtt-8">&nbsp;corners=10pt]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0pt,25pt)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(40pt,25pt);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 565--><p class="noindent">You can switch the rounded corners on and off &#8220;in the middle of path&#8221; and different corners in the same path
- can have different corner radii:
- <!--l. 569--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-124-" ><colgroup id="TBL-124-1g"><col
-id="TBL-124-1"><col
-id="TBL-124-2"></colgroup><tr
- valign="baseline" id="TBL-124-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-124-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-128.svg" width="77.40701 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-124-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;[rounded</span><span
-class="cmtt-8">&nbsp;corners=10pt]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[sharp</span><span
-class="cmtt-8">&nbsp;corners]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,0)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;[rounded</span><span
-class="cmtt-8">&nbsp;corners=5pt]</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 577--><p class="noindent">Here is a rectangle with rounded corners:
-
-
- <!--l. 578--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-125-" ><colgroup id="TBL-125-1g"><col
-id="TBL-125-1"><col
-id="TBL-125-2"></colgroup><tr
- valign="baseline" id="TBL-125-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-125-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-129.svg" width="28.19987 " height="13.01471 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-125-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[rounded</span><span
-class="cmtt-8">&nbsp;corners=1ex]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(20pt,2ex);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 582--><p class="noindent">You should be aware, that there are several pitfalls when using this option. First, the rounded corner will only
- be an arc (part of a circle) if the angle is 90<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup>. In other cases, the rounded corner will still be round, but &#8220;not
- as nice.&#8221;
- <!--l. 587--><p class="noindent">Second, if there are very short line segments in a path, the &#8220;rounding&#8221; may cause inadverted effects. In such
- case it may be necessary to temporarily switch off the rounding using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sharp</span><span
-class="cmtt-10">&nbsp;corners</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">sharp corners</span><a
- id="dx10-106003"></a><a
- id="dx10-106004"></a> This options switches off any rounding on subsequent corners of the path.</li></ul>
-<!--l. 599--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.7 </span> <a
- id="x10-1070009.7"></a>The Circle and Ellipse Operations</h4>
-<!--l. 601--><p class="noindent">A circle can be approximated well using four B&eacute;zier curves. However, it is difficult to do so correctly. For
-this reason, a special syntax is available for adding such an approximation of a circle to the current
-path.
-<!--l. 606--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox47"><span id="textcolor48"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">circle</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>&nbsp;<span id="textcolor49">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-107001"></a>
-<a
- id="dx10-107002"></a>
- <!--l. 607--><p class="noindent">The center of the circle is given by the current point. The new current point of the path will remain
- to be the center of the circle. </dd></dl>
-<!--l. 612--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox50"><span id="textcolor51"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">ellipse</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">half width</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"> <span
-class="cmtt-10">and </span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">half height</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>&nbsp;<span id="textcolor52">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-107003"></a>
-<a
- id="dx10-107004"></a>
- <!--l. 613--><p class="noindent">Note that you can add spaces after <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ellipse</span></span></span>, but you have to place spaces around <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">and</span></span></span>.
- <!--l. 616--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-130.svg" width="295.54385 " height="48.95435 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-126-" ><colgroup id="TBL-126-1g"><col
-id="TBL-126-1"></colgroup><tr
- valign="baseline" id="TBL-126-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-126-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;ellipse</span><span
-class="cmtt-8">&nbsp;(1cm</span><span
-class="cmtt-8">&nbsp;and</span><span
-class="cmtt-8">&nbsp;.5cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(3,0)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.5cm)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;++(2,-.5)</span><span
-class="cmtt-8">&nbsp;circle</span><span
-class="cmtt-8">&nbsp;(.25cm);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 626--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.8 </span> <a
- id="x10-1080009.8"></a>The Arc Operation</h4>
-<!--l. 628--><p class="noindent">The <span
-class="cmti-10">arc operation </span>allows you to add an arc to the current path.
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox53"><span id="textcolor54"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">arc</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">(</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start angle</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">:</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end angle</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">:</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">radius</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">/</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">half height</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)</span></span></span>&nbsp;<span id="textcolor55">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-108001"></a>
-<a
- id="dx10-108002"></a>
- <!--l. 632--><p class="noindent">The arc operation adds a part of a circle of the given radius between the given angles. The arc will
- start at the current point and will end at the end of the arc.
-
-
- <!--l. 636--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-131.svg" width="305.02809 " height="58.4386 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-127-" ><colgroup id="TBL-127-1g"><col
-id="TBL-127-1"></colgroup><tr
- valign="baseline" id="TBL-127-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-127-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:90:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(2,.5)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(90:0:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(30:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(30:60:1cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(8,0)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:270:1cm/.5cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 644--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-128-" ><colgroup id="TBL-128-1g"><col
-id="TBL-128-1"><col
-id="TBL-128-2"></colgroup><tr
- valign="baseline" id="TBL-128-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-128-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-132.svg" width="143.11578 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-128-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(3.5,0);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;++(210:2cm)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;+(30:4cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;+(0:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(0:30:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;+(180:1cm)</span><span
-class="cmtt-8">&nbsp;arc</span><span
-class="cmtt-8">&nbsp;(180:210:1cm);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;++(15:.75cm)</span><span
-class="cmtt-8">&nbsp;node{$\alpha$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\path</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;++(15:-.75cm)</span><span
-class="cmtt-8">&nbsp;node{$\beta$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 657--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.9 </span> <a
- id="x10-1090009.9"></a>The Grid Operation</h4>
-<!--l. 659--><p class="noindent">You can add a grid to the current path using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">grid</span></span></span> path operation.
-<!--l. 662--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox56"><span id="textcolor57"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">grid</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor58">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-109001"></a>
-<a
- id="dx10-109002"></a>
- <!--l. 663--><p class="noindent">This operations adss a grid filling a rectangle whose two corners are given by <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">corner</span><span
-class="cmsy-10">&gt; </span>and by the
- previous coordinate. Thus, the typical way in which a grid is drawn is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\draw</span><span
-class="cmtt-10">&nbsp;(1,1)</span><span
-class="cmtt-10">&nbsp;grid</span><span
-class="cmtt-10">&nbsp;(3,3);</span></span></span>,
- which yields a grid filling the rectangle whose corners are at (1<span
-class="cmmi-10">,</span>1) and (3<span
-class="cmmi-10">,</span>3). All coordinate
- transformations apply to the grid.
- <!--l. 669--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-129-" ><colgroup id="TBL-129-1g"><col
-id="TBL-129-1"><col
-id="TBL-129-2"></colgroup><tr
- valign="baseline" id="TBL-129-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-129-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-133.svg" width="105.17888 " height="105.17888 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-129-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz[rotate=30]</span><span
-class="cmtt-8">&nbsp;\draw[step=1mm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(2,2);</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 673--><p class="noindent">The stepping of the grid is governed by the following options:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">step</span><a
- id="dx10-109003"></a><a
- id="dx10-109004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>sets the stepping in both the <span
-class="cmmi-10">x </span>and <span
-class="cmmi-10">y</span>-direction.
- </li>
- <li class="itemize"><span
-class="cmtt-10">xstep</span><a
- id="dx10-109005"></a><a
- id="dx10-109006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>sets the stepping in the <span
-class="cmmi-10">x</span>-direction.
- </li>
- <li class="itemize"><span
-class="cmtt-10">ystep</span><a
- id="dx10-109007"></a><a
- id="dx10-109008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>sets the stepping in the <span
-class="cmmi-10">y</span>-direction.</li></ul>
-
-
- <!--l. 684--><p class="noindent">It is important to note that the grid is always &#8220;phased&#8221; such that it contains the point (0<span
-class="cmmi-10">,</span>0) if that point
- happens to be inside the rectangle. Thus, the grid does <span
-class="cmti-10">not </span>always have an intersection at the corner points;
- this occurs only if the corner points are multiples of the stepping. Note that due to rounding errors, the
- &#8220;last&#8221; lines of a grid may be omitted. In this case, you have to add an epsilon to the corner
- points.
- <!--l. 692--><p class="noindent">The following style is useful for drawing grids:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">help lines</span><a
- id="dx10-109009"></a><a
- id="dx10-109010"></a> This style makes lines &#8220;subdued&#8221; by using thin gray lines for them. However, this
- style is not installed automatically and you have to say for example:
- <!--l. 698--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-130-" ><colgroup id="TBL-130-1g"><col
-id="TBL-130-1"><col
-id="TBL-130-2"></colgroup><tr
- valign="baseline" id="TBL-130-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-130-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-134.svg" width="115.07718 " height="115.07718 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-130-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[style=help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,3);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- </dd></dl>
-<!--l. 706--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.10 </span> <a
- id="x10-1100009.10"></a>The Parabola Operation</h4>
-<!--l. 708--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parabola</span></span></span> path operation continues the current path with a parabola. A parabola is a (shifted and scaled) curve
-defined by the equation <span
-class="cmmi-10">f</span>(<span
-class="cmmi-10">x</span>) = <span
-class="cmmi-10">x</span><sup ><span
-class="cmr-7">2</span></sup> and looks like this: <object data="pgfmanual-135.svg" width="13.01471 " height="10.14436 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>.
-<!--l. 714--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox59"><span id="textcolor60"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">parabola</span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">bend coordinate</span><span
-class="cmsy-10">&gt;</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor61">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-110001"></a>
-<a
- id="dx10-110002"></a>
- <!--l. 715--><p class="noindent">This operation adds a parabola through the current point and the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. If the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span></span></span> is
- given, it specifies where the bend should go; the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>can also be used to specify where the bend
- is. By default, the bend is at the old current point.
- <!--l. 720--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-131-" ><colgroup id="TBL-131-1g"><col
-id="TBL-131-1"><col
-id="TBL-131-2"></colgroup><tr
- valign="baseline" id="TBL-131-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-131-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-136.svg" width="153.28075 " height="67.92279 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-131-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1.5)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=1.5cm]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1.5)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola[bend</span><span
-class="cmtt-8">&nbsp;at</span><span
-class="cmtt-8">&nbsp;end]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1.5);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[xshift=3cm]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(1,1.5)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;parabola</span><span
-class="cmtt-8">&nbsp;bend</span><span
-class="cmtt-8">&nbsp;(.75,1.75)</span><span
-class="cmtt-8">&nbsp;(1,1.5);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 731--><p class="noindent">The following options influence parabolas:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">bend</span><a
- id="dx10-110003"></a><a
- id="dx10-110004"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>Has the same effect as saying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt; </span>outside the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt;</span>. The
- option specifies that the bend of the parabola should be at the given <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. You have to
- take care yourself that the bend position is a &#8220;valid&#8221; position; which means that if there is no
- parabola of the form <span
-class="cmmi-10">f</span>(<span
-class="cmmi-10">x</span>) = <span
-class="cmmi-10">ax</span><sup ><span
-class="cmr-7">2</span></sup> +<span
-class="cmmi-10">bx</span>+<span
-class="cmmi-10">c </span>that goes through the old current point, the given bend,
- and the new current point, the result will not be a parabola.
-
-
- <!--l. 742--><p class="noindent">There is one special property of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>: When a relative coordinate is given like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+(0,0)</span></span></span>,
- the position relative to which this coordinate is &#8220;flexible.&#8221; More precisely, this position lies
- somewhere on a line from the old current point to the new current point. The exact position
- depends on the next option.
- </li>
- <li class="itemize"><span
-class="cmtt-10">bend pos</span><a
- id="dx10-110005"></a><a
- id="dx10-110006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">fraction</span><span
-class="cmsy-10">&gt; </span>Specifies where the &#8220;previous&#8221; point is relative to which the bend is
- calculated. The previous point will be at the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">fraction</span><span
-class="cmsy-10">&gt;</span>th part of the line from the old current
- point to the new current point.
- <!--l. 755--><p class="noindent">The idea is the following: If you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;pos=0</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;+(0,0)</span></span></span>, the bend will be at the old
- current point. If you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;pos=1</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;+(0,0)</span></span></span>, the bend will be at the new current
- point. If you say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;pos=0.5</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;+(0,2cm)</span></span></span> the bend will be 2cm above the middle
- of the line between the start and end point. This is most useful in situations such as the
- following:
- <!--l. 761--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-132-" ><colgroup id="TBL-132-1g"><col
-id="TBL-132-1"><col
-id="TBL-132-2"></colgroup><tr
- valign="baseline" id="TBL-132-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-132-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-137.svg" width="153.14735 " height="77.40701 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-132-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1,0)</span><span
-class="cmtt-8">&nbsp;parabola[bend</span><span
-class="cmtt-8">&nbsp;pos=0.5]</span><span
-class="cmtt-8">&nbsp;bend</span><span
-class="cmtt-8">&nbsp;+(0,2)</span><span
-class="cmtt-8">&nbsp;+(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- <!--l. 768--><p class="noindent">In the above example, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;+(0,2)</span></span></span> essentially means &#8220;a parabola that is 2cm high&#8221; and
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+(3,0)</span></span></span> means &#8220;and 3cm wide.&#8221; Since this situation arises often, there is a special shortcut
- option:
- </li>
- <li class="itemize"><span
-class="cmtt-10">parabola height</span><a
- id="dx10-110007"></a><a
- id="dx10-110008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>This option has the same effect as if you had written the following
- instead: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[bend</span><span
-class="cmtt-10">&nbsp;pos=0.5,bend={+(0pt,</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">)}]</span></span></span>.
- <!--l. 775--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-133-" ><colgroup id="TBL-133-1g"><col
-id="TBL-133-1"><col
-id="TBL-133-2"></colgroup><tr
- valign="baseline" id="TBL-133-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-133-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-138.svg" width="153.14735 " height="77.40703 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-133-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[help</span><span
-class="cmtt-8">&nbsp;lines]</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3,2);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(-1,0)</span><span
-class="cmtt-8">&nbsp;parabola[parabola</span><span
-class="cmtt-8">&nbsp;height=2cm]</span><span
-class="cmtt-8">&nbsp;+(3,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
- <!--l. 783--><p class="noindent">The following styles are useful shortcuts:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">bend at start</span><a
- id="dx10-110009"></a><a
- id="dx10-110010"></a> This places the bend at the start of a parabola. It is a shortcut for the
- following options: <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">bend</span><span
-class="cmtt-10">&nbsp;pos=0,bend={+(0,0)}</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">bend at end</span><a
- id="dx10-110011"></a><a
- id="dx10-110012"></a> This places the bend at the end of a parabola.</li></ul>
- </dd></dl>
-<!--l. 794--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.11 </span> <a
- id="x10-1110009.11"></a>The Sine and Cosine Operation</h4>
-<!--l. 796--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cos</span></span></span> operations are similar to the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">parabola</span></span></span> operation. They, too, can be used to draw (parts of) a sine
-or cosine curve.
-<!--l. 800--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox62"><span id="textcolor63"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">sin</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor64">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-111001"></a>
-<a
- id="dx10-111002"></a>
- <!--l. 801--><p class="noindent">The effect of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span></span></span> is to draw a scaled and shifted version of a sine curve in the interval [0<span
-class="cmmi-10">,<img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2]. The
- scaling and shifting is done in such a way that the start of the sine curve in the interval is at the old
- current point and that the end of the curve in the interval is at <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>. Here is an example that
- should clarify this:
- <!--l. 807--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-134-" ><colgroup id="TBL-134-1g"><col
-id="TBL-134-1"><col
-id="TBL-134-2"></colgroup><tr
- valign="baseline" id="TBL-134-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-134-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-139.svg" width="136.96812 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-134-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(1,1)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;rectangle</span><span
-class="cmtt-8">&nbsp;+(1.57,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;+(1.57,1);</span></div> </td></tr></table> </td>
-</tr></table></div>
- </dd></dl>
-<!--l. 813--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox65"><span id="textcolor66"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">cos</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor67">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-111003"></a>
-<a
- id="dx10-111004"></a>
- <!--l. 814--><p class="noindent">This operation works similarly, only a cosine in the interval [0<span
-class="cmmi-10">,<img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2] is drawn. By correctly alternating
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">sin</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">cos</span></span></span> operations, you can create a complete sine or cosine curve:
- <!--l. 818--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-140.svg" width="299.33888 " height="115.34384 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-135-" ><colgroup id="TBL-135-1g"><col
-id="TBL-135-1"></colgroup><tr
- valign="baseline" id="TBL-135-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-135-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[xscale=1.57]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(3,-1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(4,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(5,1);</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red]</span><span
-class="cmtt-8">&nbsp;(0,1.5)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(2,-1.5)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(3,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(4,1.5)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(5,0);</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </dd></dl>
-<!--l. 826--><p class="indent"> Note that there is no way to (conveniently) draw an interval on a sine or cosine curve whose end points are not
-multiples of <span
-class="cmmi-10"><img
-src="cmmi10-19.png" alt="p" class="10x-x-19" />/</span>2.
-<!--l. 831--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.12 </span> <a
- id="x10-1120009.12"></a>The Plot Operation</h4>
-<!--l. 833--><p class="noindent">The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation can be used to append a line or curve to the path that goes through a large number of
-coordinates. These coordinates are either given in a simple list of coordinates or they are read from some
-file.
-<!--l. 838--><p class="indent"> The syntax of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> comes in different versions.
-<!--l. 840--><p class="indent">
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox68"><span id="textcolor69"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">--plot</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor70">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-112001"></a>
-<a
- id="dx10-112002"></a>
- <!--l. 841--><p class="noindent">This operation plots the curve through the coordinates specified in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt;</span>. The current
- (sub)path is simply continued, that is, a line-to operation to the first point of the curve is implicitly
- added. The details of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt; </span>will be explained in a moment. </dd></dl>
-<!--l. 848--><p class="indent">
-
-
- <dl class="description"><dt class="description">
-<span
-class="colorbox" id="colorbox71"><span id="textcolor72"><span
-class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
-class="cmtt-10">plot</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt;</span>&nbsp;<span id="textcolor73">...<span
-class="cmtt-10">;</span></span></span> </dt><dd
-class="description">
-<a
- id="dx10-112003"></a>
-<a
- id="dx10-112004"></a>
- <!--l. 849--><p class="noindent">This operation plots the curve through the coordinates specified in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt; </span>by first
- &#8220;moving&#8221; to the first coordinate of the curve. </dd></dl>
-<!--l. 854--><p class="indent"> The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">further arguments</span><span
-class="cmsy-10">&gt; </span>are used in three different ways to specifying the coordinates of the points to be
-plotted:
-<!--l. 857--><p class="indent">
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x10-112006x1"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">local options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">coordinates{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate 1</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">coordinate 2</span><span
-class="cmsy-10">&gt;</span>...<span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">coordinate </span><span
-class="cmmi-10">n</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>
- </li>
- <li class="enumerate" value="2"
-><a
- id="x10-112008x2"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">local options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">file{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>
- </li>
- <li class="enumerate" value="3"
-><a
- id="x10-112010x3"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--</span></span></span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span><span
-class="cmtt-10">[</span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">local options</span><span
-class="cmsy-10">&gt;</span><span
-class="cmtt-10">]</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">function{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">gnuplot formula</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span></li></ol>
-<!--l. 867--><p class="indent"> These different ways are explained in the following.
-<!--l. 870--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.12.1 </span> <a
- id="x10-1130009.12.1"></a>Plotting Points Given Inline</h5>
-<!--l. 872--><p class="noindent">In the first two cases, the points are given directly in the <span class="TEX">T<span
-class="E">E</span>X</span>-file as in the following example:
-<!--l. 875--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-136-" ><colgroup id="TBL-136-1g"><col
-id="TBL-136-1"><col
-id="TBL-136-2"></colgroup><tr
- valign="baseline" id="TBL-136-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-136-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-141.svg" width="115.34386 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-136-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;(3,1)</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;(10:2cm)};</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 879--><p class="indent"> Here is an example showing the difference between <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--plot</span></span></span>:
-<!--l. 881--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-142.svg" width="342.96501 " height="39.47017 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-137-" ><colgroup id="TBL-137-1g"><col
-id="TBL-137-1"></colgroup><tr
- valign="baseline" id="TBL-137-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-137-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(4,0)};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red,xshift=5cm]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(2,0)</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;(4,0)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table>
-</div>
-<!--l. 890--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.12.2 </span> <a
- id="x10-1140009.12.2"></a>Plotting Points Read From an External File</h5>
-<!--l. 892--><p class="noindent">The second way of specifying points is to put them in an external file named <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt;</span>. Currently, the only file
-format that Ti<span
-class="cmti-10">k</span>Z&nbsp;allows is the following: Each line of the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">filename</span><span
-class="cmsy-10">&gt; </span>should contain one line starting with two
-numbers, separated by a space. Anything following the two numbers on the line is ignored. Also, lines starting with
-a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">%</span></span></span> or a <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">#</span></span></span> are ignored as well as empty lines. (This is exactly the format that <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>produces when you say
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">set</span><span
-class="cmtt-10">&nbsp;terminal</span><span
-class="cmtt-10">&nbsp;table</span></span></span>.) If necessary, more formats will be supported in the future, but it is usually easy to produce a
-file containing data in this form.
-<!--l. 903--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-143.svg" width="384.13968 " height="80.63216 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-138-" ><colgroup id="TBL-138-1g"><col
-id="TBL-138-1"></colgroup><tr
- valign="baseline" id="TBL-138-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-138-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot[mark=x,smooth]</span><span
-class="cmtt-8">&nbsp;file</span><span
-class="cmtt-8">&nbsp;{plots/pgfmanual-sine.table};</span></div> </td></tr></table> </td></tr></table>
-</div>
-<!--l. 907--><p class="indent"> The file <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plots/pgfmanual-sine.table</span></span></span> reads:
-
-
-<!--l. 908--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-139-" ><colgroup id="TBL-139-1g"><col
-id="TBL-139-1"></colgroup><tr
- valign="baseline" id="TBL-139-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-139-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">#Curve</span><span
-class="cmtt-8">&nbsp;0,</span><span
-class="cmtt-8">&nbsp;20</span><span
-class="cmtt-8">&nbsp;points</span>
-<br><span
-class="cmtt-8">#x</span><span
-class="cmtt-8">&nbsp;y</span><span
-class="cmtt-8">&nbsp;type</span>
-<br><span
-class="cmtt-8">0.00000</span><span
-class="cmtt-8">&nbsp;0.00000</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span>
-<br><span
-class="cmtt-8">0.52632</span><span
-class="cmtt-8">&nbsp;0.50235</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span>
-<br><span
-class="cmtt-8">1.05263</span><span
-class="cmtt-8">&nbsp;0.86873</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span>
-<br><span
-class="cmtt-8">1.57895</span><span
-class="cmtt-8">&nbsp;0.99997</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span>
-<br><span
-class="cmtt-8">...</span>
-<br><span
-class="cmtt-8">9.47368</span><span
-class="cmtt-8">&nbsp;-0.04889</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span>
-<br><span
-class="cmtt-8">10.00000</span><span
-class="cmtt-8">&nbsp;-0.54402</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;i</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 919--><p class="indent"> It was produced from the following source, using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span>:
-<!--l. 920--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-140-" ><colgroup id="TBL-140-1g"><col
-id="TBL-140-1"></colgroup><tr
- valign="baseline" id="TBL-140-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-140-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">set</span><span
-class="cmtt-8">&nbsp;terminal</span><span
-class="cmtt-8">&nbsp;table</span>
-<br><span
-class="cmtt-8">set</span><span
-class="cmtt-8">&nbsp;output</span><span
-class="cmtt-8">&nbsp;"../plots/pgfmanual-sine.table"</span>
-<br><span
-class="cmtt-8">set</span><span
-class="cmtt-8">&nbsp;format</span><span
-class="cmtt-8">&nbsp;"</span><span
-class="cmsltt-10x-x-80">%.5f"</span>
-<br><span
-class="cmtt-8">set</span><span
-class="cmtt-8">&nbsp;samples</span><span
-class="cmtt-8">&nbsp;20</span>
-<br><span
-class="cmtt-8">plot</span><span
-class="cmtt-8">&nbsp;[x=0:10]</span><span
-class="cmtt-8">&nbsp;sin(x)</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 928--><p class="indent"> The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">local options</span><span
-class="cmsy-10">&gt; </span>of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation are local to each plot and do not affect other plots &#8220;on the same path.&#8221;
-For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot[yshift=1cm]</span></span></span> will locally shift the plot 1cm upward. Remember, however, that most
-options can only be applied to paths as a whole. For example, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot[red]</span></span></span> does not have the effect of
-making the plot red. After all, you are trying to &#8220;locally&#8221; make part of the path red, which is not
-possible.
-<!--l. 936--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.12.3 </span> <a
- id="x10-1150009.12.3"></a>Plotting a Function</h5>
-<!--l. 939--><p class="noindent">Often, you will want to plot points that are given via a function like <span
-class="cmmi-10">f</span>(<span
-class="cmmi-10">x</span>) = <span
-class="cmmi-10">x</span>sin<span
-class="cmmi-10">x</span>. Unfortunately,
-<span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;does not really have enough computational power to generate the points on such a function
-efficiently (it is a text processing program, after all). However, if you allow it, <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;can try to call
-external programs that can easily produce the necessary points. Currently, Ti<span
-class="cmti-10">k</span>Z&nbsp;knows how to call
-<span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small></span>.
-<!--l. 947--><p class="indent"> When Ti<span
-class="cmti-10">k</span>Z&nbsp;encounters your operation <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot[id=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span><span
-class="cmtt-10">&nbsp;function{x*sin(x)}</span></span></span> for the first time, it will create a
-file called <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span>, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt; </span>is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\jobname.</span></span></span> by default, that is, the name of you main <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file. If
-no <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt; </span>is given, it will be empty, which is alright, but it is better when each plot has a unique <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt; </span>for
-reasons explained in a moment. Next, Ti<span
-class="cmti-10">k</span>Z&nbsp;writes some initialization code into this file followed by
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span><span
-class="cmtt-10">&nbsp;x*sin(x)</span></span></span>. The initialization code sets up things such that the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation will write the
-coordinates into another file called <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span>. Finally, this table file is read as if you had said
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span><span
-class="cmtt-10">&nbsp;file{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table}</span></span></span>.
-<!--l. 960--><p class="indent"> For the plotting mechanism to work, two conditions must be met:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x10-115002x1"></a>You must have allowed <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;to call external programs. This is often switched off by default since this
- is a security risk (you might, without knowing, run a <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;file that calls all sorts of &#8220;bad&#8221; commands).
- To enable this &#8220;calling external programs&#8221; a command line option must be given to the <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;program.
- Usually, it is called something like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">shell-escape</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">enable-write18</span></span></span>. For example, for my <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pdflatex</span></span></span>
- the option <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">--shell-escape</span></span></span> can be given.
- </li>
- <li class="enumerate" value="2"
-><a
- id="x10-115004x2"></a>You must have installed the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> program and <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;must find it when compiling your file.</li></ol>
-<!--l. 976--><p class="indent"> Unfortunately, these conditions will not always be met. Especially if you pass some source to a
-coauthor and the coauthor does not have <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>installed, he or she will have trouble compiling your
-files.
-<!--l. 981--><p class="indent"> For this reason, Ti<span
-class="cmti-10">k</span>Z&nbsp;behaves differently when you compile your graphic for the second time: If upon reaching
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot[id=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">]</span><span
-class="cmtt-10">&nbsp;function{...}</span></span></span> the file <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> already exists <span
-class="cmti-10">and </span>if the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt;&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> file
-contains what Ti<span
-class="cmti-10">k</span>Z&nbsp;thinks that it &#8220;should&#8221; contain, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> file is immediately read without trying to call a
-<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> program. This approach has the following advantages:
- <ol type="1" class="enumerate1" >
- <li class="enumerate" value="1"
-><a
- id="x10-115006x1"></a>If you pass a bundle of your <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file and all <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> files to someone else, that person
- can <span class="TEX">T<span
-class="E">E</span>X</span>&nbsp;the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file without having to have <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> installed.
-
-
- </li>
- <li class="enumerate" value="2"
-><a
- id="x10-115008x2"></a>If the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\write18</span></span></span> feature is switched off for security reasons (a good idea), then, upon the first compilation
- of the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.tex</span></span></span> file, the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> will still be generated, but not the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> file. You can then simply call
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> &#8220;by hand&#8221; for each <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> file, which will produce all necessary <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> files.
- </li>
- <li class="enumerate" value="3"
-><a
- id="x10-115010x3"></a>If you change the function that you wish to plot or its domain, Ti<span
-class="cmti-10">k</span>Z&nbsp;will automatically try to regenerate
- the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> file.
- </li>
- <li class="enumerate" value="4"
-><a
- id="x10-115012x4"></a>If, out of laziness, you do not provide an <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">id</span></span></span>, the same <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.gnuplot</span></span></span> will be used for different plots, but this
- is not a problem since the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">.table</span></span></span> will automatically be regenerated for each plot on-the-fly. <span
-class="cmti-10">Note: If</span>
- <span
-class="cmti-10">you intend to share your files with someone else, always use an id, so that the file can by typeset without</span>
- <span
-class="cmti-10">having </span><span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span><span
-class="cmti-10">installed. </span>Also, having unique ids for each plot will improve compilation speed since
- no external programs need to be called, unless it is really necessary.</li></ol>
-<!--l. 1014--><p class="indent"> When you use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span><span
-class="cmtt-10">&nbsp;function{</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">gnuplot formula</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>, the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">gnuplot formula</span><span
-class="cmsy-10">&gt; </span>must be given in the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">gnuplot</span></span></span> syntax,
-whose details are beyond the scope of this manual. Here is the ultra-condensed essence: Use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> as the
-variable and use the C-syntax for normal plots, use <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">t</span></span></span> as the variable for parametric plots. Here are some
-examples:
-<!--l. 1020--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-144.svg" width="249.52242 " height="228.61324 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-141-" ><colgroup id="TBL-141-1g"><col
-id="TBL-141-1"></colgroup><tr
- valign="baseline" id="TBL-141-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-141-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[domain=0:4]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[very</span><span
-class="cmtt-8">&nbsp;thin,color=gray]</span><span
-class="cmtt-8">&nbsp;(-0.1,-1.1)</span><span
-class="cmtt-8">&nbsp;grid</span><span
-class="cmtt-8">&nbsp;(3.9,3.9);</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(-0.2,0)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(4.2,0)</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[-&gt;]</span><span
-class="cmtt-8">&nbsp;(0,-1.2)</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;(0,4.2)</span><span
-class="cmtt-8">&nbsp;node[above]</span><span
-class="cmtt-8">&nbsp;{$f(x)$};</span>
-<br>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[id=x]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;function{x}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$f(x)</span><span
-class="cmtt-8">&nbsp;=x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=blue]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[id=sin]</span><span
-class="cmtt-8">&nbsp;function{sin(x)}</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$f(x)</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;\sin</span><span
-class="cmtt-8">&nbsp;x$};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=orange]</span><span
-class="cmtt-8">&nbsp;plot[id=exp]</span><span
-class="cmtt-8">&nbsp;function{0.05*exp(x)}</span><span
-class="cmtt-8">&nbsp;node[right]</span><span
-class="cmtt-8">&nbsp;{$f(x)</span><span
-class="cmtt-8">&nbsp;=</span><span
-class="cmtt-8">&nbsp;\frac{1}{20}</span><span
-class="cmtt-8">&nbsp;\mathrm</span><span
-class="cmtt-8">&nbsp;e^x$};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
-<!--l. 1034--><p class="indent"> The following options influence the plot:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">samples</span><a
- id="dx10-115013"></a><a
- id="dx10-115014"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">number</span><span
-class="cmsy-10">&gt; </span>sets the number of samples used in the plot. The default is 25.
- </li>
- <li class="itemize"><span
-class="cmtt-10">domain</span><a
- id="dx10-115015"></a><a
- id="dx10-115016"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">start</span><span
-class="cmsy-10">&gt;</span><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">:</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">end</span><span
-class="cmsy-10">&gt; </span>sets the domain between which the samples are taken. The default is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">-5:5</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">parametric</span><a
- id="dx10-115017"></a><a
- id="dx10-115018"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">true or false</span><span
-class="cmsy-10">&gt;</span> sets whether the plot is a parametric plot. If true, then <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">t</span></span></span> must be used instead of
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> as the parameter and two comma-separated functions must be given in the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">gnuplot formula</span><span
-class="cmsy-10">&gt;</span>. An example is
- the following:
- <!--l. 1047--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-142-" ><colgroup id="TBL-142-1g"><col
-id="TBL-142-1"><col
-id="TBL-142-2"></colgroup><tr
- valign="baseline" id="TBL-142-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-142-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-145.svg" width="36.21193 " height="120.69318 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-142-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw[scale=0.5,domain=-3.141:3.141,smooth]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[parametric,id=parametric-example]</span><span
-class="cmtt-8">&nbsp;function{t*sin(t),t*cos(t)};</span></div> </td></tr></table> </td>
-</tr></table>
-
-
- </div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">id</span><a
- id="dx10-115019"></a><a
- id="dx10-115020"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt; </span>sets the identifier of the current plot. This should be a unique identifier for each plot (though things
- will also work if it is not, but not as well, see the explanations above). The <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">id</span><span
-class="cmsy-10">&gt; </span>will be part of a filename, so it
- should not contain anything fancy like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">*</span></span></span> or <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">$</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">prefix</span><a
- id="dx10-115021"></a><a
- id="dx10-115022"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">prefix</span><span
-class="cmsy-10">&gt; </span>is put before each plot file name. The default is <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\jobname.</span></span></span>, but if you have many plots, it
- might be better to use, say <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plots/</span></span></span> and have all plots placed in a directory. You have to create the directory
- yourself.
- </li>
- <li class="itemize"><span
-class="cmtt-10">raw gnuplot</span><a
- id="dx10-115023"></a><a
- id="dx10-115024"></a> causes the <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">gnuplot formula</span><span
-class="cmsy-10">&gt; </span>to be passed on to <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>without setting up the samples or the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation. Thus, you could write
- <!--l. 1067--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-143-" ><colgroup id="TBL-143-1g"><col
-id="TBL-143-1"></colgroup><tr
- valign="baseline" id="TBL-143-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-143-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">plot[raw</span><span
-class="cmtt-8">&nbsp;gnuplot,id=raw-example]</span><span
-class="cmtt-8">&nbsp;function{set</span><span
-class="cmtt-8">&nbsp;samples</span><span
-class="cmtt-8">&nbsp;25;</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;sin(x)}</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 1070--><p class="noindent">This can be useful for complicated things that need to be passed to <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small></span>. However, for really complicated
- situations you should create a special external generating <span
-class="cmcsc-10"><small
-class="small-caps">G</small><small
-class="small-caps">N</small><small
-class="small-caps">U</small><small
-class="small-caps">P</small><small
-class="small-caps">L</small><small
-class="small-caps">O</small><small
-class="small-caps">T</small> </span>file and use the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">file</span></span></span>-syntax to include the
- table &#8220;by hand.&#8221;</li></ul>
-<!--l. 1077--><p class="indent"> The following styles influence the plot:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">style=</span><span
-class="cmtt-10">every plot</span><a
- id="dx10-115025"></a><a
- id="dx10-115026"></a> This style is installed in each plot, that is, as if you always said
- <!--l. 1081--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-144-" ><colgroup id="TBL-144-1g"><col
-id="TBL-144-1"></colgroup><tr
- valign="baseline" id="TBL-144-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-144-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[style=every</span><span
-class="cmtt-8">&nbsp;plot,...]</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 1084--><p class="noindent">This is most useful for globally setting a prefix for all plots by saying:
- <!--l. 1085--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-145-" ><colgroup id="TBL-145-1g"><col
-id="TBL-145-1"></colgroup><tr
- valign="baseline" id="TBL-145-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-145-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikzstyle{every</span><span
-class="cmtt-8">&nbsp;plot}=[prefix=plots/]</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-<!--l. 1092--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.12.4 </span> <a
- id="x10-1160009.12.4"></a>Placing Marks on the Plot</h5>
-<!--l. 1094--><p class="noindent">As we saw already, it is possible to add <span
-class="cmti-10">marks </span>to a plot using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mark</span></span></span> option. When this option is used, a copy of
-the plot mark is placed on each point of the plot. Note that the marks are placed <span
-class="cmti-10">after </span>the whole path has been
-drawn/filled/shaded. In this respect, they are handled like text nodes.
-<!--l. 1100--><p class="indent"> In detail, the following options govern how marks are drawn:
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">mark</span><a
- id="dx10-116001"></a><a
- id="dx10-116002"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">mark mnemonic</span><span
-class="cmsy-10">&gt; </span>Sets the mark to a mnemonic that has previously been defined using the
- <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">\pgfdeclareplotmark</span></span></span>. By default, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">*</span></span></span>, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">+</span></span></span>, and <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">x</span></span></span> are available, which draw a filled circle, a plus, and a
- cross as marks. Many more marks become available when the library <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">pgflibraryplotmarks</span></span></span> is loaded.
- Section&nbsp;<a
-href="pgfmanualse14.html#x15-17100014.3.3">14.3.3<!--tex4ht:ref: section-plot-marks --></a> lists the available plot marks.
- <!--l. 1110--><p class="noindent">One plot mark is special: the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span></span></span> plot mark is available only it Ti<span
-class="cmti-10">k</span>Z. The <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ball</span><span
-class="cmtt-10">&nbsp;color</span></span></span> determines the
- balls&#8217;s color. Do not use this option with large number of marks since it will take very long to render
- in PostScript.
- <div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-146-" ><colgroup id="TBL-146-1g"><col
-id="TBL-146-1"><col
-id="TBL-146-2"></colgroup><tr
- valign="baseline" id="TBL-146-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-146-1-1"
-class="td11"> Option </td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-146-1-2"
-class="td11"> Effect </td>
-</tr><tr
-class="hline"><td><hr></td><td><hr></td></tr><tr
- valign="baseline" id="TBL-146-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-146-2-1"
-class="td11"> <a
- id="dx10-116003"></a><a
- id="dx10-116004"></a> <span
-class="cmtt-10">mark=</span><span
-class="cmtt-10">ball</span> </td><td align="center" style="white-space:nowrap; text-align:center;" id="TBL-146-2-2"
-class="td11"> <object data="pgfmanual-146.svg" width="63.23857 " height="13.92056 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
-</tr><tr
- valign="baseline" id="TBL-146-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-146-3-1"
-class="td11"> </td>
-</tr></table></div>
-
-
- </li>
- <li class="itemize"><span
-class="cmtt-10">mark size</span><a
- id="dx10-116005"></a><a
- id="dx10-116006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>Sets the size of the plot marks. For circular plot marks, <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>is the radius, for
- other plot marks <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">dimension</span><span
-class="cmsy-10">&gt; </span>should be about half the width and height.
- <!--l. 1125--><p class="noindent">This option is not really necessary, since you achieve the same effect by specifying <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">scale=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>as a local
- option, where <span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">factor</span><span
-class="cmsy-10">&gt; </span>is the quotient of the desired size and the default size. However, using <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">mark</span><span
-class="cmtt-10">&nbsp;size</span></span></span> is a
- bit faster and more natural.
- </li>
- <li class="itemize"><span
-class="cmtt-10">mark options</span><a
- id="dx10-116007"></a><a
- id="dx10-116008"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">options</span><span
-class="cmsy-10">&gt; </span>These options are applied to marks when they are drawn. For example, you can scale
- (or otherwise transform) the plot mark or set its color.
- <!--l. 1134--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-147.svg" width="384.98726 " height="80.86092 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-147-" ><colgroup id="TBL-147-1g"><col
-id="TBL-147-1"></colgroup><tr
- valign="baseline" id="TBL-147-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-147-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\fill[fill=blue!20]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[mark=triangle*,mark</span><span
-class="cmtt-8">&nbsp;options={color=blue,rotate=180}]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;file{plots/pgfmanual-sine.table}</span><span
-class="cmtt-8">&nbsp;|-</span><span
-class="cmtt-8">&nbsp;(0,0);</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- </li></ul>
-<!--l. 1143--><p class="noindent">
- <h5 class="subsubsectionHead"><span class="titlemark">9.12.5 </span> <a
- id="x10-1170009.12.5"></a>Smooth Plots, Sharp Plots, and Comb Plots</h5>
-<!--l. 1145--><p class="noindent">There are different things the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation can do with the points it reads from a file or from the inlined list of
-points. By default, it will connect these points by straight lines. However, you can also use options to change the
-behavior of <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span>.
- <ul class="itemize1">
- <li class="itemize"><span
-class="cmtt-10">sharp plot</span><a
- id="dx10-117001"></a><a
- id="dx10-117002"></a> This is the default and causes the points to be connected by straight lines. This option is
- included only so that you can &#8220;switch back&#8221; if you &#8220;globally&#8221; install, say, <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">smooth</span></span></span>.
- </li>
- <li class="itemize"><span
-class="cmtt-10">smooth</span><a
- id="dx10-117003"></a><a
- id="dx10-117004"></a> This option causes the points on the path to be connected using a smooth curve:
- <!--l. 1160--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-148.svg" width="380.90178 " height="77.70891 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-148-" ><colgroup id="TBL-148-1g"><col
-id="TBL-148-1"></colgroup><tr
- valign="baseline" id="TBL-148-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-148-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz\draw</span><span
-class="cmtt-8">&nbsp;plot[smooth]</span><span
-class="cmtt-8">&nbsp;file{plots/pgfmanual-sine.table};</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 1164--><p class="noindent">Note that the smoothing algorithm is not very intelligent. You will get the best results if the bending angles
- are small, that is, less than about 30<sup ><span
-class="cmsy-7"><span class="htf-cmbx">o</span></span></sup> and, even more importantly, if the distances between points are about
- the same all over the plotting path.
- </li>
- <li class="itemize"><span
-class="cmtt-10">tension</span><a
- id="dx10-117005"></a><a
- id="dx10-117006"></a><span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">=</span></span></span><span
-class="cmsy-10">&lt;</span><span
-class="cmti-10">value</span><span
-class="cmsy-10">&gt; </span>This option influences how &#8220;tight&#8221; the smoothing is. A lower value will result in sharper
- corners, a higher value in more &#8220;round&#8221; curves. A value of 1 results in a circle if four points at
- quarter-positions on a circle are given. The default is 0<span
-class="cmmi-10">.</span>55. The &#8220;correct&#8221; value depends on the details of
- plot.
-
-
- <!--l. 1176--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-149-" ><colgroup id="TBL-149-1g"><col
-id="TBL-149-1"><col
-id="TBL-149-2"></colgroup><tr
- valign="baseline" id="TBL-149-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-149-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-149.svg" width="77.40701 " height="248.1229 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-149-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[smooth</span><span
-class="cmtt-8">&nbsp;cycle]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[tension=0.2]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;(1,-1)};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[yshift=-2.25cm]</span><span
-class="cmtt-8">&nbsp;plot[tension=0.5]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;(1,-1)};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[yshift=-4.5cm]</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[tension=1]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;(1,-1)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">smooth cycle</span><a
- id="dx10-117007"></a><a
- id="dx10-117008"></a> This option causes the points on the path to be connected using a closed smooth
- curve.
- <!--l. 1191--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-150-" ><colgroup id="TBL-150-1g"><col
-id="TBL-150-1"><col
-id="TBL-150-2"></colgroup><tr
- valign="baseline" id="TBL-150-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-150-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-150.svg" width="39.47017 " height="47.36565 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-150-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz[scale=0.5]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot[smooth</span><span
-class="cmtt-8">&nbsp;cycle]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;(1,2)}</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,0)</span><span
-class="cmtt-8">&nbsp;(2,1)</span><span
-class="cmtt-8">&nbsp;(1,2)}</span><span
-class="cmtt-8">&nbsp;--</span><span
-class="cmtt-8">&nbsp;cycle;</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">ycomb</span><a
- id="dx10-117009"></a><a
- id="dx10-117010"></a> This option causes the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">plot</span></span></span> operation to interpret the plotting points differently. Instead of connecting
- them, for each point of the plot a straight line is added to the path from the <span
-class="cmmi-10">x</span>-axis to the point, resulting in a
- sort of &#8220;comb&#8221; or &#8220;bar diagram.&#8221;
- <!--l. 1203--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-151.svg" width="385.70177 " height="82.19424 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-151-" ><colgroup id="TBL-151-1g"><col
-id="TBL-151-1"></colgroup><tr
- valign="baseline" id="TBL-151-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-151-1-1"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz\draw[ultra</span><span
-class="cmtt-8">&nbsp;thick]</span><span
-class="cmtt-8">&nbsp;plot[ycomb,thin,mark=*]</span><span
-class="cmtt-8">&nbsp;file{plots/pgfmanual-sine.table};</span></div> </td></tr></table> </td>
-</tr></table>
- </div>
- <!--l. 1207--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-152-" ><colgroup id="TBL-152-1g"><col
-id="TBL-152-1"><col
-id="TBL-152-2"></colgroup><tr
- valign="baseline" id="TBL-152-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-152-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-152.svg" width="87.54031 " height="56.98465 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-152-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\begin{tikzpicture}[ycomb]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red,line</span><span
-class="cmtt-8">&nbsp;width=6pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;coordinates{(0,1)</span><span
-class="cmtt-8">&nbsp;(.5,1.2)</span><span
-class="cmtt-8">&nbsp;(1,.6)</span><span
-class="cmtt-8">&nbsp;(1.5,.7)</span><span
-class="cmtt-8">&nbsp;(2,.9)};</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;\draw[color=red!50,line</span><span
-class="cmtt-8">&nbsp;width=4pt,xshift=3pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot</span><span
-class="cmtt-8">&nbsp;coordinates{(0,1.2)</span><span
-class="cmtt-8">&nbsp;(.5,1.3)</span><span
-class="cmtt-8">&nbsp;(1,.5)</span><span
-class="cmtt-8">&nbsp;(1.5,.2)</span><span
-class="cmtt-8">&nbsp;(2,.5)};</span>
-<br><span
-class="cmtt-8">\end{tikzpicture}</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">xcomb</span><a
- id="dx10-117011"></a><a
- id="dx10-117012"></a> This option works like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">ycomb</span></span></span> except that the bars are horizontal.
-
-
- <!--l. 1219--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular"><table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-153-" ><colgroup id="TBL-153-1g"><col
-id="TBL-153-1"><col
-id="TBL-153-2"></colgroup><tr
- valign="baseline" id="TBL-153-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-153-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-153.svg" width="41.08911 " height="42.70807 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-153-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot[xcomb,mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(1,0)</span><span
-class="cmtt-8">&nbsp;(0.8,0.2)</span><span
-class="cmtt-8">&nbsp;(0.6,0.4)</span><span
-class="cmtt-8">&nbsp;(0.2,1)};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">polar comb</span><a
- id="dx10-117013"></a><a
- id="dx10-117014"></a> This option causes a line from the origin to the point to be added to the path for each plot
- point.
- <!--l. 1227--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-154-" ><colgroup id="TBL-154-1g"><col
-id="TBL-154-1"><col
-id="TBL-154-2"></colgroup><tr
- valign="baseline" id="TBL-154-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-154-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-154.svg" width="86.37679 " height="110.399 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-154-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;plot[polar</span><span
-class="cmtt-8">&nbsp;comb,</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;mark=pentagon*,mark</span><span
-class="cmtt-8">&nbsp;options={fill=white,draw=red},mark</span><span
-class="cmtt-8">&nbsp;size=4pt]</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;coordinates</span><span
-class="cmtt-8">&nbsp;{(0:1cm)</span><span
-class="cmtt-8">&nbsp;(30:1.5cm)</span><span
-class="cmtt-8">&nbsp;(160:.5cm)</span><span
-class="cmtt-8">&nbsp;(250:2cm)</span><span
-class="cmtt-8">&nbsp;(-60:.8cm)};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li>
- <li class="itemize"><span
-class="cmtt-10">only marks</span><a
- id="dx10-117015"></a><a
- id="dx10-117016"></a> This option causes only marks to be shown; no path segments are added to the actual path. This
- can be useful for quickly adding some marks to a path.
- <!--l. 1239--><p class="noindent"><div class="obeylines-v"></div><!--tex4ht:inline--><div class="tabular">
-<table class="tabular"
-cellspacing="0" cellpadding="0"
-frame="void" id="TBL-155-" ><colgroup id="TBL-155-1g"><col
-id="TBL-155-1"><col
-id="TBL-155-2"></colgroup><tr
- valign="baseline" id="TBL-155-1-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-155-1-1"
-class="td11"> &nbsp;<object data="pgfmanual-155.svg" width="118.58176 " height="80.64491 " type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-155-1-2"
-class="td11"> <table class="minipage"><tr><td><div class="obeylines-v">
-<br><span
-class="cmtt-8">\tikz</span><span
-class="cmtt-8">&nbsp;\draw</span><span
-class="cmtt-8">&nbsp;(0,0)</span><span
-class="cmtt-8">&nbsp;sin</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;cos</span><span
-class="cmtt-8">&nbsp;(2,0)</span>
-<br><span
-class="cmtt-8">&nbsp;</span><span
-class="cmtt-8">&nbsp;plot[only</span><span
-class="cmtt-8">&nbsp;marks,mark=x]</span><span
-class="cmtt-8">&nbsp;coordinates{(0,0)</span><span
-class="cmtt-8">&nbsp;(1,1)</span><span
-class="cmtt-8">&nbsp;(2,0)</span><span
-class="cmtt-8">&nbsp;(3,-1)};</span></div> </td></tr></table> </td>
-</tr></table></div>
- </li></ul>
-<!--l. 1249--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.13 </span> <a
- id="x10-1180009.13"></a>The Scoping Operation</h4>
-<!--l. 1251--><p class="noindent">When Ti<span
-class="cmti-10">k</span>Z&nbsp;encounters and opening or a closing brace (<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">{</span></span></span> or&nbsp;<span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">}</span></span></span>) at some point where a path operation should come,
-it will open or close a scope. All options that can be applied &#8220;locally&#8221; will be scoped inside the scope. For example,
-if you apply a transformation like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">[xshift=1cm]</span></span></span> inside the scoped area, the shifting only applies to the scope. On
-the other hand, an option like <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">color=red</span></span></span> does not have any effect inside a scope since it can only be applied to the
-path as a whole.
-<!--l. 1261--><p class="noindent">
- <h4 class="subsectionHead"><span class="titlemark">9.14 </span> <a
- id="x10-1190009.14"></a>The Node Operation</h4>
-<!--l. 1263--><p class="noindent">You can add nodes to a path using the <span class="obeylines-h"><span class="verb"><span
-class="cmtt-10">node</span></span></span> operation. Since this operation is quite complex and since
-the nodes are not really part of the path itself, there is a separate section dealing with nodes, see
-Section&nbsp;<a
-href="pgfmanualse11.html#x12-13600011">11<!--tex4ht:ref: section-nodes --></a>.
-
-
-
-
-
-
- <div class="crosslinks"><p class="noindent">[<a
-href="pgfmanualse10.html" >next</a>] [<a
-href="pgfmanualse8.html" >prev</a>] [<a
-href="pgfmanualse8.html#tailpgfmanualse8.html" >prev-tail</a>] [<a
-href="pgfmanualse9.html" >front</a>] [<a
-href="pgfmanual.html#pgfmanualse9.html" >up</a>] </p></div>
-<!--l. 8--><p class="indent"> <a
- id="tailpgfmanualse9.html"></a>
-</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/pgfmanual-tex4ht.cfg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/pgfmanual-tex4ht.cfg
index 02bf46fe90b..f26feb4ee50 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/pgfmanual-tex4ht.cfg
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/pgfmanual-tex4ht.cfg
@@ -1,8 +1,12 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
% Make sure to use tex4ht (or htlatex, to be precise) to compile this.
@@ -12,12 +16,9 @@
\usepackage{xkeyval}
\usepackage{colortbl}
-\let\originalsetkeys=\setkeys
-
\makeatletter
\AtBeginDocument{
-\let\setkeys=\originalsetkeys
\CutAt{section,part}
\definecolor{graphicbackground}{rgb}{0.96,0.96,0.8}
\definecolor{codebackground}{rgb}{0.8,0.8,1}
@@ -40,7 +41,7 @@
\xdef\code@temp{#1}% removes returns and comments
}%
\color{black}\ignorespaces%
- \expandafter\scantokens\expandafter{\code@temp\ignorespaces}\ignorespaces%
+ \code@pre\expandafter\scantokens\expandafter{\code@temp\ignorespaces}\code@post\ignorespaces%
}%
}%
\ifdim\wd\codeexamplebox>\codeexamplewidth%
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/pgfmanual.tex b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/pgfmanual.tex
index 746ed93a170..a0618eb5af5 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/pgfmanual.tex
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/pgfmanual.tex
@@ -1,10 +1,13 @@
-\documentclass[a4paper]{ltxdoc}
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\documentclass[a4paper]{ltxdoc}
% pgf version is defined in \pgfversion in file
% generic/pgf/utilities/pgfrcs.code.tex
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/pgfmanual-vtex.cfg b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/pgfmanual-vtex.cfg
index 0008952aa18..6b959370d1a 100644
--- a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/pgfmanual-vtex.cfg
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/pgfmanual-vtex.cfg
@@ -1,8 +1,11 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Free Documentation License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\usepackage[vtex]{graphics}
\usepackage{hyperref}
diff --git a/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgf.tex b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgf.tex
new file mode 100644
index 00000000000..9d272ea5567
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgf.tex
@@ -0,0 +1,28 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+% ConTeXt module pgf.
+
+
+\ifx\pgfdefined\undefined
+\let\pgfdefined=\relax
+
+\input t-pgfcor.tex
+
+\input t-pgfbsh.tex
+\input t-pgfbpl.tex
+\input t-pgfbim.tex
+\input t-pgfbla.tex
+\input t-pgfbsn.tex
+\input t-pgfbpt.tex
+
+\fi
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbim.tex b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbim.tex
new file mode 100644
index 00000000000..093f1d92c9a
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbim.tex
@@ -0,0 +1,23 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+% ConTeXt module pgfbaseimage.
+
+\edef\pgfbaseimageatcode{\the\catcode`\@}
+\edef\pgfbaseimagebarcode{\the\catcode`\|}
+\catcode`\@=11
+\catcode`\|=12
+
+\input pgfbaseimage.code.tex
+
+\catcode`\@=\pgfbaseimageatcode
+\catcode`\|=\pgfbaseimagebarcode
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbla.tex b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbla.tex
new file mode 100644
index 00000000000..efc458bf6c3
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbla.tex
@@ -0,0 +1,26 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+% ConTeXt module pgfbaselayers.
+
+\edef\pgfbaselayersatcode{\the\catcode`\@}
+\edef\pgfbaselayersbarcode{\the\catcode`\|}
+\catcode`\@=11
+\catcode`\|=12
+
+\input pgfbaselayers.code.tex
+
+\catcode`\@=\pgfbaselayersatcode
+\catcode`\|=\pgfbaselayersbarcode
+
+\let\startpgfonlayer=\pgfonlayer
+\let\stoppgfonlayer=\endpgfonlayer
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbpl.tex b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbpl.tex
new file mode 100644
index 00000000000..8dde1e1721c
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbpl.tex
@@ -0,0 +1,23 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+% ConTeXt module pgfbaseplot.
+
+\edef\pgfbaseplotatcode{\the\catcode`\@}
+\edef\pgfbaseplotbarcode{\the\catcode`\|}
+\catcode`\@=11
+\catcode`\|=12
+
+\input pgfbaseplot.code.tex
+
+\catcode`\@=\pgfbaseplotatcode
+\catcode`\|=\pgfbaseplotbarcode
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbpt.tex b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbpt.tex
new file mode 100644
index 00000000000..a6fa8f1bc9c
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbpt.tex
@@ -0,0 +1,23 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+% ConTeXt module pgfbasepatterns.
+
+\edef\pgfbasepatternsatcode{\the\catcode`\@}
+\edef\pgfbasepatternsbarcode{\the\catcode`\|}
+\catcode`\@=11
+\catcode`\|=12
+
+\input pgfbasepatterns.code.tex
+
+\catcode`\@=\pgfbasepatternsatcode
+\catcode`\|=\pgfbasepatternsbarcode
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbsh.tex b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbsh.tex
new file mode 100644
index 00000000000..45b3af25e99
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbsh.tex
@@ -0,0 +1,23 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+% ConTeXt module pgfbaseshapes.
+
+\edef\pgfbaseshapesatcode{\the\catcode`\@}
+\edef\pgfbaseshapesbarcode{\the\catcode`\|}
+\catcode`\@=11
+\catcode`\|=12
+
+\input pgfbaseshapes.code.tex
+
+\catcode`\@=\pgfbaseshapesatcode
+\catcode`\|=\pgfbaseshapesbarcode
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbsn.tex b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbsn.tex
new file mode 100644
index 00000000000..85ec116206a
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfbsn.tex
@@ -0,0 +1,23 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+% ConTeXt module pgfbasesnakes.
+
+\edef\pgfbasesnakesatcode{\the\catcode`\@}
+\edef\pgfbasesnakesbarcode{\the\catcode`\|}
+\catcode`\@=11
+\catcode`\|=12
+
+\input pgfbasesnakes.code.tex
+
+\catcode`\@=\pgfbasesnakesatcode
+\catcode`\|=\pgfbasesnakesbarcode
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfcor.tex b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfcor.tex
new file mode 100644
index 00000000000..afaefba3644
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/basiclayer/t-pgfcor.tex
@@ -0,0 +1,46 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+% ConTeXt module pgfcore.
+
+
+\ifx\pgfcoredefined\undefined
+\let\pgfcoredefined=\relax
+
+\input t-pgfsys.tex
+
+\edef\pgfcoreatcode{\the\catcode`\@}
+\edef\pgfcorebarcode{\the\catcode`\|}
+\catcode`\@=11
+\catcode`\|=12
+
+\input pgfcore.code.tex
+
+\catcode`\@=\pgfcoreatcode
+\catcode`\|=\pgfcorebarcode
+
+\let\startpgfpicture=\pgfpicture
+\let\stoppgfpicture=\endpgfpicture
+
+\let\startpgfscope=\pgfscope
+\let\stoppgfscope=\endpgfscope
+
+\let\startpgflowlevelscope=\pgflowlevelscope
+\let\stoppgflowlevelscope=\endpgflowlevelscope
+
+\let\startpgfinterruptpath=\pgfinterruptpath
+\let\stoppgfinterruptpath=\endpgfinterruptpath
+
+\let\startpgfinterruptpicture=\pgfinterruptpicture
+\let\stoppgfinterruptpicture=\endpgfinterruptpicture
+
+\fi
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/frontendlayer/t-tikz.tex b/Master/texmf-dist/tex/context/pgf/frontendlayer/t-tikz.tex
new file mode 100644
index 00000000000..aa9abe49ffc
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/frontendlayer/t-tikz.tex
@@ -0,0 +1,32 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+% ConTeXt module tikz.
+
+\input xkeyval.tex
+
+\input t-pgf.tex
+\input t-pgffor.tex
+\input t-pgflph.tex
+
+\edef\tikzatcode{\the\catcode`\@}
+\edef\tikzbarcode{\the\catcode`\|}
+\catcode`\@=11
+\catcode`\|=12
+
+\input tikz.code.tex
+
+\catcode`\@=\tikzatcode
+\catcode`\|=\tikzbarcode
+
+\let\starttikzpicture=\tikzpicture
+\let\stoptikzpicture=\endtikzpicture
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/systemlayer/t-pgfsys.tex b/Master/texmf-dist/tex/context/pgf/systemlayer/t-pgfsys.tex
new file mode 100644
index 00000000000..606062a56be
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/systemlayer/t-pgfsys.tex
@@ -0,0 +1,32 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+% ConTeXt module pgfsys.
+
+\ifx\pgfsysdefined\undefined
+\let\pgfsysdefined=\relax
+
+\input t-pgfrcs.tex
+
+\edef\pgfsysatcode{\the\catcode`\@}
+\edef\pgfsysbarcode{\the\catcode`\|}
+\catcode`\@=11
+\catcode`\|=12
+
+\input pgfsys.code.tex
+\input pgfsyssoftpath.code.tex
+\input pgfsysprotocol.code.tex
+
+\catcode`\@=\pgfsysatcode
+\catcode`\|=\pgfsysbarcode
+
+\fi
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/utilities/t-pgffor.tex b/Master/texmf-dist/tex/context/pgf/utilities/t-pgffor.tex
new file mode 100644
index 00000000000..0cfe2d94132
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/utilities/t-pgffor.tex
@@ -0,0 +1,29 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+% ConTeXt module pgffor.
+
+\ifx\pgffordefined\undefined
+\let\pgffordefined=\relax
+
+\input t-pgfrcs.tex
+
+\edef\pgfforatcode{\the\catcode`\@}
+\edef\pgfforbarcode{\the\catcode`\|}
+\catcode`\@=11
+\catcode`\|=12
+
+\input pgffor.code.tex
+
+\catcode`\@=\pgfforatcode
+\catcode`\|=\pgfforbarcode
+
+\fi
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/utilities/t-pgfmod.tex b/Master/texmf-dist/tex/context/pgf/utilities/t-pgfmod.tex
new file mode 100644
index 00000000000..6f5a41e5b95
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/utilities/t-pgfmod.tex
@@ -0,0 +1,37 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+
+% ConTeXt module pgfmodules.
+
+% This module defines the correct names for the context modules.
+%
+% This is necessary because context cuts down all module names to 6
+% characters.
+%
+% One starts to wonder whether context was already used in the Apollo
+% missions...
+
+\ifx\pgfmoddefined\undefined
+\let\pgfmoddefined=\relax
+
+\definefilesynonym [pgfcore] [pgfcor]
+
+\definefilesynonym [pgfbasesnakes] [pgfbsn]
+\definefilesynonym [pgfbaseshapes] [pgfbsh]
+\definefilesynonym [pgfbaseplots] [pgfbpl]
+\definefilesynonym [pgfbaselayers] [pgfbla]
+\definefilesynonym [pgfbaseimage] [pgfbim]
+\definefilesynonym [pgfbasepatterns] [pgfbpt]
+
+
+\fi
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/context/pgf/utilities/t-pgfrcs.tex b/Master/texmf-dist/tex/context/pgf/utilities/t-pgfrcs.tex
new file mode 100644
index 00000000000..ad48baf1d2c
--- /dev/null
+++ b/Master/texmf-dist/tex/context/pgf/utilities/t-pgfrcs.tex
@@ -0,0 +1,30 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+% ConTeXt module pgfrcs.
+
+\ifx\pgfrcsdefined\undefined
+\let\pgfrcsdefined=\relax
+
+\input t-pgfmod.tex
+
+\edef\pgfrcsatcode{\the\catcode`\@}
+\edef\pgfrcsbarcode{\the\catcode`\|}
+\catcode`\@=11
+\catcode`\|=12
+
+\input pgfrcs.code.tex
+\input pgf-latex-emulation.tex
+
+\catcode`\@=\pgfrcsatcode
+\catcode`\|=\pgfrcsbarcode
+
+\fi
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseimage.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseimage.code.tex
index 41597300e23..ec8d93af683 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseimage.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseimage.code.tex
@@ -1,11 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfbaseimage.code.tex,v 1.2 2005/07/06 15:58:57 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfbaseimage.code.tex,v 1.4 2006/10/11 15:22:25 tantau Exp $
% Declare an image
@@ -25,23 +27,23 @@
%
% \pgfdeclareimage[width=2cm,page=2]{myimage}{imagefilename}
-\def\pgfdeclareimage{\@ifnextchar[{\pgf@declareimage}{\pgf@declareimage[]}}
+\def\pgfdeclareimage{\pgf@ifnextchar[{\pgf@declareimage}{\pgf@declareimage[]}}
\def\pgf@declareimage[#1]#2#3{%
\setkeys{pgfimage}{height=,width=,page=,interpolate=false,mask=}% defaults
\setkeys{pgfimage}{#1}%
% Try to find the file
\gdef\pgf@filename{}%
% If page= parameter is not empty, try that file first:
- \ifx\pgf@imagepage\@empty%
+ \ifx\pgf@imagepage\pgf@empty%
\else%
\expandafter\pgf@findfile\pgfsys@imagesuffixlist:+{#3.page\pgf@imagepage}%
\fi%
- \ifx\pgf@filename\@empty%
+ \ifx\pgf@filename\pgf@empty%
\expandafter\pgf@findfile\pgfsys@imagesuffixlist:+{#3}%
\else%
\setkeys{pgfimage}{page=}% make page empty
\fi%
- \ifx\pgf@filename\@empty%
+ \ifx\pgf@filename\pgf@empty%
\PackageWarning{pgf}%
{File "#3" not found when defining image "#2".\MessageBreak
Tried all extensions in "\pgfsys@imagesuffixlist"}%
@@ -62,13 +64,13 @@
\define@key{pgfimage}{interpolate}[true]{\edef\pgf@imageinterpolate{/Interpolate #1}}
\define@key{pgfimage}{mask}{%
\edef\pgf@imagemask{#1}%
- \ifx\pgf@imagemask\@empty%
+ \ifx\pgf@imagemask\pgf@empty%
\else%
- \@ifundefined{pgf@mask@#1}%
+ \pgf@ifundefined{pgf@mask@#1}%
{\PackageError{pgf}{Undefined mask "#1".}{}%
\edef\pgf@imagemask{}}%
{\edef\pgf@imagemask{\csname pgf@mask@#1\endcsname}%
- \ifx\pgf@imagemask\@empty%
+ \ifx\pgf@imagemask\pgf@empty%
\else
\edef\pgf@imagemask{/SMask \pgf@imagemask\space 0 R}%
\fi}%
@@ -78,20 +80,20 @@
\IfFileExists{#3.#1}%
{\xdef\pgf@filename{#3.#1}}%
{\def\pgf@mightbeempty{#2}%
- \ifx\pgf@mightbeempty\@empty\else%
+ \ifx\pgf@mightbeempty\pgf@empty\else%
\pgf@findfile#2+{#3}%
\fi}}
\def\pgf@declaredraftimage#1{%
- \ifx\pgf@imagewidth\@empty%
+ \ifx\pgf@imagewidth\pgf@empty%
\PackageWarning{pgf}{Missing width for image "#1" in draft mode.\MessageBreak Using 1cm instead}%
\edef\pgf@imagewidth{1cm}%
\fi%
- \ifx\pgf@imageheight\@empty%
+ \ifx\pgf@imageheight\pgf@empty%
\PackageWarning{pgf}{Missing height for image "#1" in draft mode.\MessageBreak Using 1cm instead}%
\edef\pgf@imageheight{1cm}%
\fi%
- \ifx\pgf@imagepage\@empty\else\edef\pgf@imagepagetext{ page \pgf@imagepage}\fi%
+ \ifx\pgf@imagepage\pgf@empty\else\edef\pgf@imagepagetext{ page \pgf@imagepage}\fi%
\edef\pgf@image{%
\hbox to \pgf@imagewidth{%
\vrule\kern-0.4pt%
@@ -125,7 +127,7 @@
% \pgfdeclaremask[matte=white]{maskname}{maskfilename}
% \pgfdeclareimage[mask=maskname]{image}{imagefilename}
-\def\pgfdeclaremask{\@ifnextchar[\pgf@declaremask{\pgf@declaremask[]}}
+\def\pgfdeclaremask{\pgf@ifnextchar[\pgf@declaremask{\pgf@declaremask[]}}
\def\pgf@declaremask[#1]#2#3{%
\setkeys{pgfmask}{matte={1 1 1}}% defaults
\setkeys{pgfmask}{#1}%
@@ -133,7 +135,7 @@
% Try to find the file
\gdef\pgf@filename{}%
\expandafter\pgf@findfile\pgfsys@imagesuffixlist:+{#3}%
- \ifx\pgf@filename\@empty%
+ \ifx\pgf@filename\pgf@empty%
\PackageWarning{pgf}%
{File "#3" not found when defining mask "#2".\MessageBreak
Tried all extensions in "\pgfsys@imagesuffixlist"}%
@@ -176,16 +178,16 @@
\def\pgfuseimage#1{%
\def\pgf@imagename{pgf@image@#1}%
\pgf@tryextensions{\pgf@imagename}{\pgfalternateextension}%
- \expandafter\@ifundefined\expandafter{\pgf@imagename}%
+ \expandafter\pgf@ifundefined\expandafter{\pgf@imagename}%
{\PackageError{pgf}{Undefined image "#1"}{}}%
{{\leavevmode\csname\pgf@imagename\endcsname}}}
\def\pgf@tryextensions#1#2{%
\edef\pgf@args{[#2!]}\expandafter\pgf@@tryextensions\pgf@args{#1}}
\def\pgf@@tryextensions[#1!#2]#3{%
- \expandafter\@ifundefined\expandafter{#3.#1!#2}%
+ \expandafter\pgf@ifundefined\expandafter{#3.#1!#2}%
{\def\pgf@temp{#2}%
- \ifx\pgf@temp\@empty%
+ \ifx\pgf@temp\pgf@empty%
\edef#3{#3!}%
\else%
\pgf@@tryextensions[#2]{#3}%
@@ -226,7 +228,7 @@
%
% \pgfimage[height=2cm]{filename}
-\def\pgfimage{\@ifnextchar[\pgf@imagecom{\pgf@imagecom[]}}
+\def\pgfimage{\pgf@ifnextchar[\pgf@imagecom{\pgf@imagecom[]}}
\def\pgf@imagecom[#1]#2{%
\pgfdeclareimage[#1]{pgflastimage}{#2}%
\pgfuseimage{pgflastimage}}
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaselayers.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaselayers.code.tex
index d97d742934e..7603b016a67 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaselayers.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaselayers.code.tex
@@ -1,9 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfbaselayers.code.tex,v 1.2 2005/10/24 15:14:48 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfbaselayers.code.tex,v 1.4 2006/10/11 15:22:25 tantau Exp $
% Creates a new pgf layer
@@ -86,7 +90,7 @@
\pgfsys@endscope%
\fi%
\def\pgf@test{#2}%
- \ifx\pgf@test\@empty%
+ \ifx\pgf@test\pgf@empty%
\else%
\pgf@dolayer#2,\relax%
\fi%
@@ -102,7 +106,7 @@
\setbox\csname pgf@layerboxsaved@#1\endcsname=\box\csname pgf@layerbox@#1\endcsname%
\fi%
\def\pgf@test{#2}%
- \ifx\pgf@test\@empty%
+ \ifx\pgf@test\pgf@empty%
\else%
\pgf@dosavelayer#2,\relax%
\fi%
@@ -118,7 +122,7 @@
\global\setbox\csname pgf@layerbox@#1\endcsname=\box\csname pgf@layerboxsaved@#1\endcsname%
\fi%
\def\pgf@test{#2}%
- \ifx\pgf@test\@empty%
+ \ifx\pgf@test\pgf@empty%
\else%
\pgf@dorestorelayer#2,\relax%
\fi%
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbasepatterns.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbasepatterns.code.tex
new file mode 100644
index 00000000000..2d6116f3ac2
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbasepatterns.code.tex
@@ -0,0 +1,178 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfbasepatterns.code.tex,v 1.8 2006/10/11 15:22:25 tantau Exp $
+
+
+% Creates a new uncolored pattern
+%
+% #1 = pattern name
+% #2 = lower left of bounding box
+% #3 = upper right of bounding box
+% #4 = step vector
+% #5 = pattern code
+%
+% Description:
+%
+% Declares a new uncolored pattern. An uncolored pattern is a pattern
+% that has no inherent color. When the pattern is used, a color for
+% the pattern must be supplied.
+%
+% See the pdf-manual for more details on uncolored patterns.
+%
+% The bounding box must be a bounding box of the pattern cell.
+%
+% The step vector must provide the x- and y-step by which the cells
+% are spaced.
+%
+% The pattern code should be pgf code that can be protocolled.
+%
+% The transformation matrix will be reset prior to invoking the
+% pattern code.
+%
+% Example:
+%
+% \pgfdeclarepatternformonly{stars}{\pgfpointorigin}{\pgfpoint{1cm}{1cm}}
+% {\pgfpoint{1cm}{1cm}}{
+% \pgftransformshift{\pgfpoint{.5cm}{.5cm}}
+% \pgfpathmoveto{\pgfpointpolar{0}{4mm}}
+% \pgfpathlineto{\pgfpointpolar{144}{4mm}}
+% \pgfpathlineto{\pgfpointpolar{288}{4mm}}
+% \pgfpathlineto{\pgfpointpolar{72}{4mm}}
+% \pgfpathlineto{\pgfpointpolar{216}{4mm}}
+% \pgfpathclose%
+% \pgfusepath{stroke}
+% }
+
+\def\pgfdeclarepatternformonly#1#2#3#4#5{\pgf@declarepattern{#1}{#2}{#3}{#4}{#5}{0}}
+
+% Creates a new colored pattern
+%
+% #1 = pattern name
+% #2 = lower left of bounding box
+% #3 = upper right of bounding box
+% #4 = step vector
+% #5 = pattern code
+%
+% Description:
+%
+% Declares a new colored pattern. Such patterns have a one or more
+% fixed inherent colors. See the pdf-manual for more details on
+% uncolored patterns.
+%
+% The parameters have the same effect as for uncolored patterns.
+%
+% Example:
+%
+% \pgfdeclarepatterninherentlycolored{red stars}{\pgfpointorigin}{\pgfpoint{1cm}{1cm}}
+% {\pgfpoint{1cm}{1cm}}{
+% \pgfsetfillcolor{red}
+% \pgfsetstrokecolor{black}
+% \pgftransformshift{\pgfpoint{.5cm}{.5cm}}
+% \pgfpathmoveto{\pgfpointpolar{0}{4mm}}
+% \pgfpathlineto{\pgfpointpolar{144}{4mm}}
+% \pgfpathlineto{\pgfpointpolar{288}{4mm}}
+% \pgfpathlineto{\pgfpointpolar{72}{4mm}}
+% \pgfpathlineto{\pgfpointpolar{216}{4mm}}
+% \pgfpathclose%
+% \pgfusepath{stroke,fill}
+% }
+
+\def\pgfdeclarepatterninherentlycolored#1#2#3#4#5{\pgf@declarepattern{#1}{#2}{#3}{#4}{#5}{1}}
+
+\def\pgf@declarepattern#1#2#3#4#5#6{%
+ \pgf@ifundefined{pgf@pattern@name@#1}{%
+ \pgfsysprotocol@getcurrentprotocol\pgf@pattern@temp%
+ {%
+ \pgfinterruptpath%
+ \pgfpicturetrue%
+ \pgf@relevantforpicturesizefalse%
+ \pgftransformreset%
+ \pgfsysprotocol@setcurrentprotocol\pgf@empty%
+ \pgfsysprotocol@bufferedtrue%
+ \pgfsys@beginscope%
+ #5%
+ \pgfsys@endscope%
+ \pgfsysprotocol@getcurrentprotocol\pgf@pattern@code%
+ \global\let\pgf@pattern@code=\pgf@pattern@code%
+ \endpgfinterruptpath%
+ \pgf@process{#2}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{#3}%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \pgf@process{#4}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ % Now, build a name for the pattern
+ \@tempcnta=\pgf@pattern@number%
+ \advance\@tempcnta by1\relax%
+ \xdef\pgf@pattern@number{\the\@tempcnta}%
+ \expandafter\xdef\csname pgf@pattern@name@#1\endcsname{\the\@tempcnta}%
+ \expandafter\gdef\csname pgf@pattern@type@#1\endcsname{#6}%
+ \xdef\pgf@marshal{\noexpand\pgfsys@declarepattern
+ {\csname pgf@pattern@name@#1\endcsname}
+ {\the\pgf@xa}{\the\pgf@ya}{\the\pgf@xb}{\the\pgf@yb}{\the\pgf@xc}{\the\pgf@yc}{\pgf@pattern@code}{#6}}%
+ }%
+ \pgfsysprotocol@setcurrentprotocol\pgf@pattern@temp%
+ \expandafter\global\expandafter\let\csname pgf@pattern@instantiate@#1\endcsname=\pgf@marshal%
+ }
+ {%
+ \PackageError{pgfbasepatterns}{Pattern `#1' already defined}{}%
+ }%
+}
+
+\def\pgf@pattern@number{0}%
+
+\def\pgf@ifpatternisinherentlycolored#1#2#3{%
+ \expandafter\ifnum\csname pgf@pattern@type@#1\endcsname=1\relax#2\else#3\fi%
+}
+
+
+
+% Set an pattern as fill color
+%
+% #1 = Name of the pattern
+% #2 = Color to be used for the pattern. If the pattern is already
+% colored, this parameter is ignored.
+%
+% Description:
+%
+% Sets the pattern for subsequent filling operations.
+%
+% Example:
+%
+% \pgfsetfillpattern{stars}{red}
+
+\def\pgfsetfillpattern#1#2{%
+ \pgf@ifundefined{pgf@pattern@name@#1}{%
+ \PackageError{pgfbasepatterns}{Undefined pattern `#1'}{}}
+ {%
+ \csname pgf@pattern@instantiate@#1\endcsname%
+ \expandafter\global\expandafter\let\csname pgf@pattern@instantiate@#1\endcsname=\relax%
+ \pgf@ifpatternisinherentlycolored{#1}{%
+ \pgfsys@setpatterncolored{\csname pgf@pattern@name@#1\endcsname}%
+ }{%
+ \colorlet{pgf@tempcolor}{#2}%
+ \pgf@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
+ \extractcolorspec{pgf@tempcolor}{\pgf@tempcolor}%
+ \expandafter\convertcolorspec\pgf@tempcolor{rgb}{\pgf@rgbcolor}%
+ \expandafter\pgf@set@fill@patternuncolored\pgf@rgbcolor\relax{#1}%
+ }%
+ }%
+}
+\def\pgf@set@fill@patternuncolored#1,#2,#3\relax#4{%
+ \pgfsys@setpatternuncolored{\csname pgf@pattern@name@#4\endcsname}{#1}{#2}{#3}%
+}
+
+
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseplot.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseplot.code.tex
index f3d9e4f49a7..ffebbfacc0f 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseplot.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseplot.code.tex
@@ -1,10 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfbaseplot.code.tex,v 1.2 2005/07/06 15:58:57 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfbaseplot.code.tex,v 1.4 2006/10/11 15:22:25 tantau Exp $
% PGF's plotting interface works as follows:
@@ -103,7 +106,7 @@
\def\pgfplothandlerlineto{%
\def\pgf@plotstreamstart{%
\global\let\pgf@plotstreampoint=\pgf@plot@line@handler%
- \global\let\pgf@plotstreamspecial=\@gobble%
+ \global\let\pgf@plotstreamspecial=\pgf@gobble%
\global\let\pgf@plotstreamend=\relax%
}%
}
@@ -130,8 +133,8 @@
\def\pgfplothandlerdiscard{%
\def\pgf@plotstreamstart{%
- \global\let\pgf@plotstreampoint=\@gobble%
- \global\let\pgf@plotstreamspecial=\@gobble%
+ \global\let\pgf@plotstreampoint=\pgf@gobble%
+ \global\let\pgf@plotstreamspecial=\pgf@gobble%
\global\let\pgf@plotstreamend=\relax%
}%
}
@@ -200,7 +203,7 @@
\read1 to \pgf@temp%
\let\par=\@@par%
\edef\pgf@temp{\pgf@temp}%
- \ifx\pgf@temp\@empty%
+ \ifx\pgf@temp\pgf@empty%
\else\ifx\pgf@temp\pgf@partext%
\else%
\expandafter\pgf@parsexyline\pgf@temp\pgf@stop%
@@ -245,7 +248,7 @@
\def\pgf@readxyzfile{%
\read1 to \pgf@temp%
- \ifx\pgf@temp\@empty%
+ \ifx\pgf@temp\pgf@empty%
\else\ifx\pgf@temp\pgf@partext%
\else%
\expandafter\pgf@parsexyzline\pgf@temp\pgf@stop%
@@ -287,7 +290,7 @@
\newwrite\pgf@plotwrite
\newif\ifpgf@resample@plot
-\def\pgfplotgnuplot{\@ifnextchar[{\pgf@plotgnuplot}{\pgf@plotgnuplot[\jobname]}}%}
+\def\pgfplotgnuplot{\pgf@ifnextchar[{\pgf@plotgnuplot}{\pgf@plotgnuplot[\jobname]}}%}
\def\pgf@plotgnuplot[#1]#2{%
\pgf@resample@plottrue%
% Check, whether it is up-to-date
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseshapes.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseshapes.code.tex
index 494f328994d..b6e8140abe3 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseshapes.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbaseshapes.code.tex
@@ -1,10 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfbaseshapes.code.tex,v 1.9 2005/10/13 10:12:31 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfbaseshapes.code.tex,v 1.14 2006/10/11 15:22:25 tantau Exp $
\newbox\pgfnodeparttextbox
@@ -33,11 +36,11 @@
% \pgfmultipartnode{rectangle}{center}{Hello}{hellonode}{\pgfusepath{stroke}}
\def\pgfmultipartnode#1#2#3#4{%
- \@ifundefined{pgf@sh@s@#1}%
+ \pgf@ifundefined{pgf@sh@s@#1}%
{\PackageError{pgf}{Unknown shape ``#1''}{}}%
{%
{%
- \let\pgf@sh@savedpoints=\@empty%
+ \let\pgf@sh@savedpoints=\pgf@empty%
\csname pgf@sh@s@#1\endcsname%
\pgf@sh@savedpoints%
\pgftransformshift{%
@@ -47,19 +50,20 @@
}%
% Save the saved points and the transformation matrix
\edef\pgf@test{#3}%
- \ifx\pgf@test\@empty%
+ \ifx\pgf@test\pgf@empty%
\else%
\expandafter\xdef\csname pgf@sh@ns@#3\endcsname{#1}%
\edef\pgf@sh@@temp{\noexpand\gdef\expandafter\noexpand\csname pgf@sh@np@#3\endcsname}%
\expandafter\pgf@sh@@temp\expandafter{\pgf@sh@savedpoints}%
\pgfgettransform\pgf@temp
\expandafter\xdef\csname pgf@sh@nt@#3\endcsname{\pgf@temp}%
+ \expandafter\xdef\csname pgf@sh@pi@#3\endcsname{\pgfpictureid}%
\fi%
- \@ifundefined{pgf@sh@bbg@#1}{}
+ \pgf@ifundefined{pgf@sh@bbg@#1}{}
{{\pgfscope\csname pgf@sh@bbg@#1\endcsname\endpgfscope}}%
- \@ifundefined{pgf@sh@bg@#1}{}%
+ \pgf@ifundefined{pgf@sh@bg@#1}{}%
{\csname pgf@sh@bg@#1\endcsname#4}%
- \@ifundefined{pgf@sh@fbg@#1}{}
+ \pgf@ifundefined{pgf@sh@fbg@#1}{}
{{\pgfscope\csname pgf@sh@fbg@#1\endcsname\endpgfscope}}%
{%
\expandafter\@for\expandafter\pgf@shape@com\expandafter:\expandafter=\csname pgf@sh@boxes@#1\endcsname\do{%
@@ -69,11 +73,11 @@
}%
}%
}%
- \@ifundefined{pgf@sh@bfg@#1}{}%
+ \pgf@ifundefined{pgf@sh@bfg@#1}{}%
{{\pgfscope\csname pgf@sh@bfg@#1\endcsname\endpgfscope}}%
- \@ifundefined{pgf@sh@fg@#1}{}%
+ \pgf@ifundefined{pgf@sh@fg@#1}{}%
{\csname pgf@sh@fg@#1\endcsname#4}%
- \@ifundefined{pgf@sh@ffg@#1}{}%
+ \pgf@ifundefined{pgf@sh@ffg@#1}{}%
{{\pgfscope\csname pgf@sh@ffg@#1\endcsname\endpgfscope}}%
}%
}%
@@ -115,7 +119,7 @@
\def\pgf@sh@resavedanchor#1#2{%
\pgf@process{#2}%
\edef\pgf@sh@marshal{%
- \noexpand\g@addto@macro\noexpand\pgf@sh@savedpoints{%
+ \noexpand\pgf@g@addto@macro\noexpand\pgf@sh@savedpoints{%
\noexpand\def\noexpand#1{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}%
}}%
\pgf@sh@marshal%
@@ -125,7 +129,7 @@
\def\pgf@sh@resaveddimen#1#2{%
{#2\global\pgf@x=\pgf@x}%
\edef\pgf@sh@marshal{%
- \noexpand\g@addto@macro\noexpand\pgf@sh@savedpoints{%
+ \noexpand\pgf@g@addto@macro\noexpand\pgf@sh@savedpoints{%
\noexpand\def\noexpand#1{\the\pgf@x}%
}}%
\pgf@sh@marshal%
@@ -133,7 +137,7 @@
% Invoke an anchor
\def\pgf@sh@reanchor#1#2{%
- \@ifundefined{pgf@anchor@#1@#2}%
+ \pgf@ifundefined{pgf@anchor@#1@#2}%
{%
\setcounter{pgf@counta}{#2}%
\csname pgf@anchor@#1@border\endcsname{\pgfpointpolar{\c@pgf@counta}{1pt}}%
@@ -159,7 +163,7 @@
\def\pgfpointanchor#1#2{%
% Ok, check whether #1 is known!
- \@ifundefined{pgf@sh@ns@#1}
+ \pgf@ifundefined{pgf@sh@ns@#1}
{\PackageError{pgf}{No shape named #1 is known}{}%
\pgfpointorigin}%
{%
@@ -173,6 +177,8 @@
\global\pgf@x=\pgf@x%
\global\pgf@y=\pgf@y%
}%
+ % Add inter picture transformation
+ \pgf@shape@interpictureshift{#1}%
% Undo current transformation
\pgftransforminvert%
\pgf@pos@transform{\pgf@x}{\pgf@y}%
@@ -180,6 +186,24 @@
}%
}
+\def\pgf@shape@interpictureshift#1{%
+ \expandafter\ifx\csname pgf@sh@pi@#1\endcsname\pgfpictureid%
+ \else%
+ \pgfsys@getposition{\csname pgf@sh@pi@#1\endcsname}\pgf@shape@original@pos%
+ \pgfsys@getposition{\pgfpictureid}\pgf@shape@current@pos%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{\pgfpointorigin\pgf@shape@current@pos}%
+ \advance\pgf@xa by-\pgf@x%
+ \advance\pgf@ya by-\pgf@y%
+ \pgf@process{\pgfpointorigin\pgf@shape@original@pos}%
+ \advance\pgf@xa by\pgf@x%
+ \advance\pgf@ya by\pgf@y%
+ \pgf@x=\pgf@xa%
+ \pgf@y=\pgf@ya%
+ \fi%
+}
+
% Retrieves a border point of a shape
@@ -201,7 +225,7 @@
\def\pgfpointshapeborder#1#2{%
% Ok, check whether #1 is known!
- \@ifundefined{pgf@sh@ns@#1}
+ \pgf@ifundefined{pgf@sh@ns@#1}
{\PackageError{pgf}{No shape named #1 is known}{}%
\pgfpointorigin}%
{%
@@ -216,6 +240,7 @@
\pgf@xa=\pgf@x%
\pgf@ya=\pgf@y%
\pgf@process{\csname pgf@anchor@\csname pgf@sh@ns@#1\endcsname @center\endcsname}%
+ \pgf@process{\pgf@shape@interpictureshift{#1}}%%
\advance\pgf@xa by-\pgf@x%
\advance\pgf@ya by-\pgf@y%
\csname pgf@anchor@\csname pgf@sh@ns@#1\endcsname @border\endcsname{\pgfpoint{\pgf@xa}{\pgf@ya}}%
@@ -224,6 +249,8 @@
\global\pgf@x=\pgf@x%
\global\pgf@y=\pgf@y%
}%
+ % Add inter picture transformation
+ \pgf@shape@interpictureshift{#1}%
% Undo current transformation
\pgftransforminvert%
\pgf@pos@transform{\pgf@x}{\pgf@y}%
@@ -326,15 +353,15 @@
\anchorborder{\csname pgf@anchor@#1@center\endcsname}%
\anchor{text}{\pgfpointorigin}%
\nodeparts{text}%
- \expandafter\global\expandafter\let\csname pgf@sh@s@\shape@name\endcsname=\@empty%
+ \expandafter\global\expandafter\let\csname pgf@sh@s@\shape@name\endcsname=\pgf@empty%
#2
}
}
\def\pgf@sh@savedanchor#1#2{%
- \expandafter\g@addto@macro\csname pgf@sh@s@\shape@name\endcsname{\pgf@sh@resavedanchor{#1}{#2}}}
+ \expandafter\pgf@g@addto@macro\csname pgf@sh@s@\shape@name\endcsname{\pgf@sh@resavedanchor{#1}{#2}}}
\def\pgf@sh@saveddimen#1#2{%
- \expandafter\g@addto@macro\csname pgf@sh@s@\shape@name\endcsname{\pgf@sh@resaveddimen{#1}{#2}}}
+ \expandafter\pgf@g@addto@macro\csname pgf@sh@s@\shape@name\endcsname{\pgf@sh@resaveddimen{#1}{#2}}}
\def\pgf@sh@anchor#1#2{\expandafter\gdef\csname pgf@anchor@\shape@name @#1\endcsname{#2}}
\def\pgf@sh@anchorborder#1{\expandafter\gdef\csname pgf@anchor@\shape@name @border\endcsname##1{\pgf@process{##1}#1}}
\long\def\pgf@sh@behindbgpath#1{\expandafter\gdef\csname pgf@sh@bbg@\shape@name\endcsname{#1}}
@@ -346,7 +373,7 @@
\def\pgf@sh@boxes#1{\expandafter\gdef\csname pgf@sh@boxes@\shape@name\endcsname{#1}}
\def\pgf@sh@inheritsavedanchors[from=#1]{%
- \expandafter\g@addto@macro\csname pgf@sh@s@\shape@name\endcsname{\csname pgf@sh@s@#1\endcsname}}
+ \expandafter\pgf@g@addto@macro\csname pgf@sh@s@\shape@name\endcsname{\csname pgf@sh@s@#1\endcsname}}
\def\pgf@sh@inheritanchor[from=#1]#2{%
\edef\pgf@marshal{\global\let\expandafter\noexpand\csname
pgf@anchor@\shape@name @#2\endcsname=\expandafter\noexpand\csname
@@ -667,6 +694,27 @@
\def\northeast{\pgfpoint{\pgf@picmaxx}{\pgf@picmaxy}}%
}
\expandafter\def\csname pgf@sh@nt@current bounding box\endcsname{{1}{0}{0}{1}{0pt}{0pt}}
+\expandafter\def\csname pgf@sh@pi@current bounding box\endcsname{\pgfpictureid}
+
+
+% Special current path bounding box rectangle:
+\expandafter\def\csname pgf@sh@ns@current path bounding box\endcsname{rectangle}
+\expandafter\def\csname pgf@sh@np@current path bounding box\endcsname{%
+ \def\southwest{\pgfpoint{\pgf@pathminx}{\pgf@pathminy}}%
+ \def\northeast{\pgfpoint{\pgf@pathmaxx}{\pgf@pathmaxy}}%
+}
+\expandafter\def\csname pgf@sh@nt@current path bounding box\endcsname{{1}{0}{0}{1}{0pt}{0pt}}
+\expandafter\def\csname pgf@sh@pi@current path bounding box\endcsname{\pgfpictureid}
+
+
+% Special current page bounding box rectangle:
+\expandafter\def\csname pgf@sh@ns@current page\endcsname{rectangle}
+\expandafter\def\csname pgf@sh@np@current page\endcsname{%
+ \def\southwest{\pgfpoint{0pt}{0pt}}%
+ \def\northeast{\pgfpoint{\paperwidth}{\paperheight}}%
+}
+\expandafter\def\csname pgf@sh@nt@current page\endcsname{{1}{0}{0}{1}{0pt}{0pt}}
+\expandafter\def\csname pgf@sh@pi@current page\endcsname{pgfpageorigin}
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbasesnakes.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbasesnakes.code.tex
index 00169368ae1..b4842e3dc29 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbasesnakes.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfbasesnakes.code.tex
@@ -1,10 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfbasesnakes.code.tex,v 1.6 2005/10/25 08:18:14 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfbasesnakes.code.tex,v 1.9 2006/10/11 15:22:25 tantau Exp $
\newdimen\pgfsnakeremainingdistance
\newdimen\pgfsnakecompleteddistance
@@ -42,7 +45,7 @@
\long\def\pgfdeclaresnake#1#2#3{%
\def\pgf@snake@name{#1}%
- \@namedef{pgf@snake@@#1@initial}{#2}%
+ \pgf@namedef{pgf@snake@@#1@initial}{#2}%
\let\pgf@orig@state=\state%
\let\state=\pgf@snake@state
#3
@@ -85,10 +88,10 @@
% \pgfpathlineto{\pgfpoint{10pt}{0pt}}
% }
-\def\pgf@snake@state#1{\@ifnextchar[{\pgf@@snake@start#1}{\pgf@@snake@start#1[]}}%}
+\def\pgf@snake@state#1{\pgf@ifnextchar[{\pgf@@snake@start#1}{\pgf@@snake@start#1[]}}%}
\def\pgf@@snake@start#1[#2]#3{%
- \@namedef{pgf@snake@@\pgf@snake@name @#1@options}{#2}%
- \@namedef{pgf@snake@@\pgf@snake@name @#1@code}{#3}%
+ \pgf@namedef{pgf@snake@@\pgf@snake@name @#1@options}{#2}%
+ \pgf@namedef{pgf@snake@@\pgf@snake@name @#1@code}{#3}%
}
@@ -122,7 +125,7 @@
\pgf@process{\pgfpointnormalised{}}%
% ok, now computer length (arghh...)
% In theory that's easy: divide the larger of the values x or y by
- % the normalizes x or y. Well...
+ % the normalized x or y. Well...
%
% First, make xa and ya positive:
\ifdim\pgf@xa<0pt%
@@ -162,7 +165,7 @@
\pgf@xb=\pgf@x%
\pgf@yb=\pgf@y%
\@for\pgf@temp:=\pgf@list\do{%
- \ifx\pgf@temp\@empty%
+ \ifx\pgf@temp\pgf@empty%
\else%
\expandafter\pgf@snake@invoke\pgf@temp%
\fi%
@@ -224,7 +227,7 @@
% \pgfpathsnakealongvector{zig zag}{100pt}{\pgfpolar{30}{1pt}}
\def\pgfpathsnakealongvector#1#2#3{%
- \@ifundefined{pgf@snake@@#1@initial}{\PackageError{pgf}{Undefined snake ``#1''}{}}
+ \pgf@ifundefined{pgf@snake@@#1@initial}{\PackageError{pgf}{Undefined snake ``#1''}{}}
{
\begingroup% keep things local
\pgftransformreset%
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
index 0a3df3dec31..80e932c4571 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
@@ -1,9 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcore.code.tex,v 1.3 2005/10/25 08:18:14 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcore.code.tex,v 1.4 2006/10/11 15:22:25 tantau Exp $
\newif\ifpgf@draftmode
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex
index 0283f40c4d2..d813fe20973 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex
@@ -1,10 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorearrows.code.tex,v 1.2 2005/07/10 20:11:23 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorearrows.code.tex,v 1.5 2006/10/11 15:22:25 tantau Exp $
% Sets the end arrow
@@ -17,13 +20,13 @@
\def\pgfsetarrowsend#1{\pgf@arrowset{end}{#1}}
\def\pgf@arrowset#1#2{%
- \@ifundefined{pgf@arrow@code@#2}
+ \pgf@ifundefined{pgf@arrow@code@#2}
{\PackageError{pgf}{Arrow #1 type ``#2'' unknown}{}}
{%
\edef\pgf@arrow@temp{#2}%
- \ifx\pgf@arrow@temp\@empty% ah. clear!
- \expandafter\let\csname pgf@#1arrow\endcsname=\@empty%
- \expandafter\let\csname pgf@shorten@#1\endcsname=\@empty%
+ \ifx\pgf@arrow@temp\pgf@empty% ah. clear!
+ \expandafter\let\csname pgf@#1arrow\endcsname=\pgf@empty%
+ \expandafter\let\csname pgf@shorten@#1\endcsname=\pgf@empty%
\else%
%\pgf@arrow@prepare{#2}%
\expandafter\def\csname pgf@#1arrow\endcsname{\pgf@arrow@call{#2}}%
@@ -66,18 +69,18 @@
}
\def\pgf@arrows@checked#1#2#3{%
- \@ifundefined{pgf@arrow@code@#2}%
+ \pgf@ifundefined{pgf@arrow@code@#2}%
{%
\PackageError{pgf}{Arrow end type ``#2'' unknown}{}}%
{%
- \@ifundefined{pgf@arrow@code@\csname pgf@arrows@invert#1\endcsname}
+ \pgf@ifundefined{pgf@arrow@code@\csname pgf@arrows@invert#1\endcsname}
{\PackageError{pgf}{Arrow start type ``#1'' unknown}{}}%
{#3}%
}%
}
\def\pgf@arrows@check@already#1#2#3{%
- \@ifundefined{pgf@arrow@code@#2}
+ \pgf@ifundefined{pgf@arrow@code@#2}
{#3}%
{\PackageError{pgf}{Arrow end type ``#2'' already defined}{}}%
}
@@ -93,7 +96,7 @@
\let\pgfusepath=\pgf@nousepath@here%
\pgf@relevantforpicturesizefalse%
\pgftransformreset%
- \pgfsysprotocol@setcurrentprotocol\@empty%
+ \pgfsysprotocol@setcurrentprotocol\pgf@empty%
\pgfsysprotocol@bufferedtrue%
\pgfsys@beginscope%
\csname pgf@arrow@code@#1\endcsname%
@@ -101,8 +104,8 @@
\pgfsysprotocol@getcurrentprotocol\pgf@@arrow@temp%
\global\let\pgf@@arrow@temp=\pgf@@arrow@temp%
\endpgfinterruptpath%
- \expandafter\xdef\csname pgf@arrow@prot@#1@\the\pgflinewidth\endcsname{%
- \noexpand\pgfsys@invoke{\pgf@@arrow@temp}}%
+ \expandafter\def\expandafter\pgf@temp\expandafter{\expandafter\pgfsys@invoke\expandafter{\pgf@@arrow@temp}}%
+ \expandafter\global\expandafter\let\csname pgf@arrow@prot@#1@\the\pgflinewidth\endcsname=\pgf@temp%
}%
\pgfsysprotocol@setcurrentprotocol\pgf@arrow@temp%
\fi%
@@ -265,9 +268,9 @@
% \pgfarrowsdeclarecombine*{|<}{>|}{|}{|}{<}{>}
% \pgfarrowsdeclarecombine{<<}{>>}{<}{>}{<}{>}
-\def\pgfarrowsdeclarecombine{\@ifnextchar*{\pgfarrowsdeclarecombine@star}{\pgf@@arrowsdeclarecombine}}
+\def\pgfarrowsdeclarecombine{\pgf@ifnextchar*{\pgfarrowsdeclarecombine@star}{\pgf@@arrowsdeclarecombine}}
-\def\pgf@@arrowsdeclarecombine{\@ifnextchar[{\pgf@arrowsdeclarecombine}{\pgf@arrowsdeclarecombine[0pt]}}
+\def\pgf@@arrowsdeclarecombine{\pgf@ifnextchar[{\pgf@arrowsdeclarecombine}{\pgf@arrowsdeclarecombine[0pt]}}
\def\pgf@arrowsdeclarecombine[#1]#2#3#4#5#6#7{%
\pgf@arrows@check@already{#2}{#3}%
{%
@@ -303,7 +306,7 @@
}%
}
-\def\pgfarrowsdeclarecombine@star*{\@ifnextchar[{\pgf@arrowsdeclarecombine@star}{\pgf@arrowsdeclarecombine@star[0pt]}}
+\def\pgfarrowsdeclarecombine@star*{\pgf@ifnextchar[{\pgf@arrowsdeclarecombine@star}{\pgf@arrowsdeclarecombine@star[0pt]}}
\def\pgf@arrowsdeclarecombine@star[#1]#2#3#4#5#6#7{%
\pgf@arrows@check@already{#2}{#3}%
{%
@@ -353,9 +356,9 @@
%
% \pgfarrowsdeclaredouble{<<}{>>}{<}{>}
-\def\pgfarrowsdeclaredouble{\@ifnextchar[{\pgf@arrowsdeclaredouble}{\pgf@arrowsdeclaredouble[0pt]}}
+\def\pgfarrowsdeclaredouble{\pgf@ifnextchar[{\pgf@arrowsdeclaredouble}{\pgf@arrowsdeclaredouble[0pt]}}
\def\pgf@arrowsdeclaredouble[#1]#2#3#4#5{\pgfarrowsdeclarecombine[#1]{#2}{#3}{#4}{#5}{#4}{#5}}
-\def\pgfarrowsdeclaretriple{\@ifnextchar[{\pgf@arrowsdeclaretriple}{\pgf@arrowsdeclaretriple[0pt]}}
+\def\pgfarrowsdeclaretriple{\pgf@ifnextchar[{\pgf@arrowsdeclaretriple}{\pgf@arrowsdeclaretriple[0pt]}}
\def\pgf@arrowsdeclaretriple[#1]#2#3#4#5{%
\pgfarrowsdeclarecombine[#1]{pgf@trip@#2}{pgf@trip@#3}{#4}{#5}{#4}{#5}%
\pgfarrowsdeclarecombine[#1]{#2}{#3}{pgf@trip@#2}{pgf@trip@#3}{#4}{#5}%
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex
index f417efcab54..3eb07f2897a 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex
@@ -1,9 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex,v 1.3 2005/09/21 00:05:34 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex,v 1.5 2006/10/11 15:22:25 tantau Exp $
% Globals
@@ -63,7 +67,7 @@
\let\pgf@next=\relax%
\else%
\setlength\pgf@x{#1}%
- \ifx\pgf@temp\@empty%
+ \ifx\pgf@temp\pgf@empty%
\edef\pgf@temp{\the\pgf@x}%
\else%
\edef\pgf@temp{\pgf@temp,\the\pgf@x}%
@@ -81,7 +85,7 @@
\def\pgfsetstrokecolor#1{%
\colorlet{pgf@tempcolor}{#1}%
- \@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
+ \pgf@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
\expandafter\expandafter\expandafter\pgf@setstrokecolor\csname\string\color@pgf@tempcolor\endcsname%
}
\def\pgf@setstrokecolor#1#2#3#4#5{%
@@ -95,7 +99,7 @@
\def\pgf@uncomma#1,{%
\def\pgf@coltest{#1}%
- \ifx\pgf@coltest\@empty%
+ \ifx\pgf@coltest\pgf@empty%
\let\pgf@colnext=\relax%
\else%
\expandafter\def\expandafter\pgf@colmarshal\expandafter{\pgf@colmarshal{#1}}%
@@ -113,7 +117,7 @@
\def\pgfsetfillcolor#1{%
\colorlet{pgf@tempcolor}{#1}%
- \@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
+ \pgf@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
\expandafter\expandafter\expandafter\pgf@setfillcolor\csname\string\color@pgf@tempcolor\endcsname%
}
\def\pgf@setfillcolor#1#2#3#4#5{%
@@ -135,7 +139,7 @@
\def\pgfsetcolor#1{%
\colorlet{pgf@tempcolor}{#1}%
- \@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
+ \pgf@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
\expandafter\expandafter\expandafter\pgf@setcolor\csname\string\color@pgf@tempcolor\endcsname%
}
\def\pgf@setcolor#1#2#3#4#5{%
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoremath.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoremath.code.tex
index a05d934f12b..44c4e208d5c 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoremath.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoremath.code.tex
@@ -1,9 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoremath.code.tex,v 1.1.1.1 2005/06/29 12:14:04 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoremath.code.tex,v 1.2 2006/10/11 15:22:25 tantau Exp $
% Mathematical stuff
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex
index fd12c5d9146..557558d82ef 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex
@@ -1,9 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoreobjects.code.tex,v 1.1.1.1 2005/06/29 12:14:04 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoreobjects.code.tex,v 1.2 2006/10/11 15:22:25 tantau Exp $
% Object reuse
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex
index 97df7f0cf34..f6c61229ff1 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex
@@ -1,9 +1,14 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex,v 1.1 2005/10/25 08:18:14 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex,v 1.5 2006/10/11 15:22:25 tantau Exp $
+
\newdimen\pgf@path@lastx
\newdimen\pgf@path@lasty
@@ -197,6 +202,7 @@
\global\pgf@path@lasty=\pgf@yb%
}
+
% Append an arc to the current point, where the current point is at
% angle #1 and the end is at angle #2. If #2 > #1, the arc is drawn
% counter-clockwise, otherwise it is clockwise.
@@ -336,6 +342,30 @@
\pgf@protocolsizes{\pgf@xc}{\pgf@yc}%
}
+% Append an arc to the current point, where the arc is on an ellipse
+% given by two axis vectors.
+%
+% #1 = angle of first point
+% #2 = angle of second point
+% #3 = first axis
+% #4 = second axis
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfxy(0,0)}
+% \pgfpatharcaxes{0}{90}{\pgfpointxy{2}{0}}{\pgfpointxy{0}{2}}
+% \pgfstroke
+
+\def\pgfpatharcaxes#1#2#3#4{%
+ {%
+ \pgftransformtriangle{\pgfpointorigin}{#3}{#4}%
+ \pgfpatharc{#1}{#2}{1pt}%
+ }%
+}
+
+
+
+
% Append an ellipse to the current path.
%
% #1 = center
@@ -481,6 +511,7 @@
+
% Append a rectangle to the current path
%
% #1 = lower left corner point of rectangle
@@ -528,7 +559,7 @@
\pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@yb}}%
\pgfpathlineto{\pgfpoint{\pgf@xa}{\pgf@yb}}%
\pgfpathclose%
- \pgfpathmoveto{\pgfpoint{\pgf@xb}{\pgf@xb}}%
+ \pgfpathmoveto{\pgfpoint{\pgf@xb}{\pgf@yb}}%
}
% Append a rectangle to the current path
@@ -574,7 +605,7 @@
\define@key{pgfbase}{stepy}{\setlength{\pgf@y}{#1}\relax}
\define@key{pgfbase}{step}{\pgf@process{#1}}
-\def\pgfpathgrid{\@ifnextchar[{\pgf@pathgrid}{\pgf@pathgrid[]}}
+\def\pgfpathgrid{\pgf@ifnextchar[{\pgf@pathgrid}{\pgf@pathgrid[]}}
\def\pgf@pathgrid[#1]#2#3{%
\setkeys{pgfbase}{stepx=1cm,stepy=1cm}%
\setkeys{pgfbase}{#1}%
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex
index db2a9d7c068..4fbed5e37ea 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex
@@ -1,9 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex,v 1.2 2005/10/03 15:52:27 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex,v 1.4 2006/10/11 15:22:25 tantau Exp $
@@ -26,7 +30,7 @@
\def\pgfprocesspathcleanup#1{%
{%
- \let\pgf@newpath=\@empty%
+ \let\pgf@newpath=\pgf@empty%
\expandafter\pgf@cleanupprocessor#1\pgf@stop%
}%
\let#1=\pgf@newpath%
@@ -34,7 +38,7 @@
\def\pgf@cleanupprocessor#1{%
\ifx#1\pgf@stop%
- \let\next=\@gobble% ok, done
+ \let\next=\pgf@gobble% ok, done
\else%
\ifx#1\pgfsyssoftpath@movetotoken%
\let\next=\pgf@cleanupmoveto%
@@ -46,7 +50,7 @@
}
\def\pgf@cleanupredo#1#2#3{%
- \g@addto@macro\pgf@newpath{#1{#2}{#3}}%
+ \pgf@g@addto@macro\pgf@newpath{#1{#2}{#3}}%
\pgf@cleanupprocessor%
}
@@ -54,7 +58,7 @@
\ifx#4\pgfsyssoftpath@movetotoken%
% Ok, skip
\else%
- \g@addto@macro\pgf@newpath{#1{#2}{#3}}%
+ \pgf@g@addto@macro\pgf@newpath{#1{#2}{#3}}%
\fi%
\pgf@cleanupprocessor#4%
}
@@ -88,7 +92,7 @@
% % \pgfpointlastonpath is now \pgfpoint{40bp}{40bp}
\def\pgfprocesspathextractpoints#1{%
- \ifx#1\@empty%
+ \ifx#1\pgf@empty%
\let\pgfpointfirstonpath=\pgfpointorigin%
\let\pgfpointsecondonpath=\pgfpointorigin%
\let\pgfpointsecondlastonpath=\pgfpointorigin%
@@ -105,7 +109,7 @@
\let\pgfpointsecondonpath=\pgfpointfirstonpath%
\let\pgfpointsecondlastonpath=\pgfpointfirstonpath%
\let\pgfpointlastonpath=\pgfpointfirstonpath%
- \let\next=\@gobble%
+ \let\next=\pgf@gobble%
\else
\let\next=\pgf@extractprocessorsecond%
\fi%
@@ -127,7 +131,7 @@
\let\pgfpointlastonpath=\pgfpointsecondonpath%
\ifx#4\pgf@stop%
% short path...
- \let\next=\@gobble%
+ \let\next=\pgf@gobble%
\else
\let\next=\pgf@extractprocessorother%
\fi%
@@ -148,7 +152,7 @@
\def\pgfpointlastonpath{\pgfpoint{#2}{#3}}%
\ifx#4\pgf@stop%
% end!
- \let\next=\@gobble%
+ \let\next=\pgf@gobble%
\fi%
\next#4%
}
@@ -171,14 +175,14 @@
\def\pgfprocesscheckclosed#1#2{%
{%
\global\let\pgf@proc@todo=\relax%
- \let\pgfsyssoftpath@movetotoken=\@gobbletwo%
- \let\pgfsyssoftpath@linetotoken=\@gobbletwo%
- \let\pgfsyssoftpath@curvetosupportatoken=\@gobbletwo%
- \let\pgfsyssoftpath@curvetosupportbtoken=\@gobbletwo%
- \let\pgfsyssoftpath@curvetotoken=\@gobbletwo%
- \def\pgfsyssoftpath@rectcornertoken{\gdef\pgf@proc@todo{#2}\@gobbletwo}%
- \def\pgfsyssoftpath@rectsizetoken{\gdef\pgf@proc@todo{#2}\@gobbletwo}%
- \def\pgfsyssoftpath@closepathtoken{\gdef\pgf@proc@todo{#2}\@gobbletwo}%
+ \let\pgfsyssoftpath@movetotoken=\pgf@gobbletwo%
+ \let\pgfsyssoftpath@linetotoken=\pgf@gobbletwo%
+ \let\pgfsyssoftpath@curvetosupportatoken=\pgf@gobbletwo%
+ \let\pgfsyssoftpath@curvetosupportbtoken=\pgf@gobbletwo%
+ \let\pgfsyssoftpath@curvetotoken=\pgf@gobbletwo%
+ \def\pgfsyssoftpath@rectcornertoken{\gdef\pgf@proc@todo{#2}\pgf@gobbletwo}%
+ \def\pgfsyssoftpath@rectsizetoken{\gdef\pgf@proc@todo{#2}\pgf@gobbletwo}%
+ \def\pgfsyssoftpath@closepathtoken{\gdef\pgf@proc@todo{#2}\pgf@gobbletwo}%
#1%
}%
\pgf@proc@todo%
@@ -204,7 +208,7 @@
\def\pgf@processroundcheck#1#2#3\pgfsyssoftpath@specialroundtoken#4\pgf@stop{%
\def\pgf@test{#4}%
- \ifx\pgf@test\@empty%
+ \ifx\pgf@test\pgf@empty%
% ok, nothing to be done!
\let#2=#1%
\else%
@@ -215,15 +219,15 @@
\def\pgf@@processround#1#2{%
- \let\pgfprocess@newpath\@empty%
- \let\pgfprocess@moveto\@empty%
- \let\pgfprocess@firstto\@empty%
- \let\pgfprocess@segment\@empty%
+ \let\pgfprocess@newpath\pgf@empty%
+ \let\pgfprocess@moveto\pgf@empty%
+ \let\pgfprocess@firstto\pgf@empty%
+ \let\pgfprocess@segment\pgf@empty%
\pgf@xa=0pt%
\pgf@ya=0pt%
\expandafter\pgfprocess@round#1\pgf@stop{0pt}{0pt}%
- \expandafter\g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@moveto}%
- \expandafter\g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@segment}%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@moveto}%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@segment}%
\let#2=\pgfprocess@newpath%
}
@@ -241,20 +245,20 @@
\fi%
\fi%
\else%
- \ifx\pgfprocess@firstto\@empty%
+ \ifx\pgfprocess@firstto\pgf@empty%
\def\pgfprocess@firstto{{#2}{#3}}%
\fi%
\pgf@xa=#2%
\pgf@ya=#3%
\ifx#1\pgfsyssoftpath@movetotoken%
% ok, move old segment to newpath
- \expandafter\g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@moveto}%
- \expandafter\g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@segment}%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@moveto}%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@segment}%
\def\pgfprocess@moveto{#1{#2}{#3}}%
- \let\pgfprocess@firstto=\@empty%
- \let\pgfprocess@segment=\@empty%
+ \let\pgfprocess@firstto=\pgf@empty%
+ \let\pgfprocess@segment=\pgf@empty%
\else%
- \g@addto@macro\pgfprocess@segment{#1{#2}{#3}}%
+ \pgf@g@addto@macro\pgfprocess@segment{#1{#2}{#3}}%
\fi%
\let\next=\pgfprocess@round%
\fi%
@@ -263,7 +267,7 @@
}
\def\pgfprocess@specialround#1#2#3{%
- \ifx\pgfprocess@firstto\@empty%
+ \ifx\pgfprocess@firstto\pgf@empty%
\def\pgfprocess@firstto{{#2}{#3}}%
\fi%
\let\next=\pgfprocess@round% default: do nothing
@@ -319,7 +323,7 @@
}
\def\pgfprocess@@specialround#1#2#3{%
- \g@addto@macro\pgfprocess@segment{#1}%
+ \pgf@g@addto@macro\pgfprocess@segment{#1}%
% calculate start coordinate of the curve
\pgf@xb=#2%
\pgf@yb=#3%
@@ -332,7 +336,7 @@
\pgf@xa=\pgf@x% save start point of added curve
\pgf@ya=\pgf@y%
\edef\pgfprocess@addition{{\the\pgf@x}{\the\pgf@y}}%
- \expandafter\g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
%
% now add curve
%
@@ -352,7 +356,7 @@
\advance\pgf@xa by 0.555\pgf@x%
\advance\pgf@ya by 0.555\pgf@y%
\edef\pgfprocess@addition{\noexpand\pgfsyssoftpath@curvetosupportatoken{\the\pgf@xa}{\the\pgf@ya}}%
- \expandafter\g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
}%
% calculate second support:
{%
@@ -363,11 +367,11 @@
\advance\pgf@xc by 0.555\pgf@x%
\advance\pgf@yc by 0.555\pgf@y%
\edef\pgfprocess@addition{\noexpand\pgfsyssoftpath@curvetosupportbtoken{\the\pgf@xc}{\the\pgf@yc}}%
- \expandafter\g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
}%
% add end:
\edef\pgfprocess@addition{\noexpand\pgfsyssoftpath@curvetotoken{\the\pgf@xc}{\the\pgf@yc}}%
- \expandafter\g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
%
% continue!
%
@@ -377,16 +381,16 @@
}
\def\pgfprocess@specialroundcurveto#1#2#3#4#5#6{%
- \g@addto@macro\pgfprocess@segment{#1{#2}{#3}#4{#5}{#6}}% supports
+ \pgf@g@addto@macro\pgfprocess@segment{#1{#2}{#3}#4{#5}{#6}}% supports
\pgf@xa=#5%
\pgf@ya=#6%
\pgfprocess@specialroundcope}
\def\pgfprocess@specialroundclose{%
\let\next=\pgfprocess@round%
- \ifx\pgfprocess@moveto\@empty%
+ \ifx\pgfprocess@moveto\pgf@empty%
\else%
- \ifx\pgfprocess@firstto\@empty%
+ \ifx\pgfprocess@firstto\pgf@empty%
\else%
\expandafter\pgfprocess@@specialclosetarget\pgfprocess@firstto%
\let\pgfprocess@continueafterrounding=\pgfprocess@cleanupafterclose%
@@ -445,9 +449,9 @@
\def\pgfprocesspathreplacestartandend#1#2#3{%
{%
- \let\pgf@newpath=\@empty%
- \let\pgf@prepath=\@empty%
- \ifx#1\@empty%
+ \let\pgf@newpath=\pgf@empty%
+ \let\pgf@prepath=\pgf@empty%
+ \ifx#1\pgf@empty%
\else%
\pgf@process{#3}%
\pgf@xa=\pgf@x%
@@ -466,7 +470,7 @@
\def\pgf@temppath{#1{#2}{#3}}%
\edef\pgf@newpath{\noexpand#1{\the\pgf@x}{\the\pgf@y}}%
\ifx#4\pgf@stop%
- \let\next=\@gobble%
+ \let\next=\pgf@gobble%
\else%
\let\next=\pgf@replaceprocessother%
\fi%
@@ -489,11 +493,11 @@
\def\pgf@@replaceprocessother#1#2#3#4{%
\ifx#4\pgf@stop%
\edef\pgf@newpathaddition{{\noexpand#1{\the\pgf@xa}{\the\pgf@ya}}}%
- \expandafter\g@addto@macro\expandafter\pgf@newpath\pgf@newpathaddition%
- \let\next=\@gobble%
+ \expandafter\pgf@g@addto@macro\expandafter\pgf@newpath\pgf@newpathaddition%
+ \let\next=\pgf@gobble%
\else%
- \g@addto@macro\pgf@temppath{#1{#2}{#3}}%
- \g@addto@macro\pgf@newpath{#1{#2}{#3}}%
+ \pgf@g@addto@macro\pgf@temppath{#1{#2}{#3}}%
+ \pgf@g@addto@macro\pgf@newpath{#1{#2}{#3}}%
\let\next=\pgf@replaceprocessother%
\fi%
\next#4%
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex
index 38bbdf07bba..0d5b5482a57 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex
@@ -1,9 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepathusage.code.tex,v 1.2 2005/07/17 22:34:19 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepathusage.code.tex,v 1.6 2006/10/11 15:22:25 tantau Exp $
% Stroke/fill/clip/etc. the current path. Depending on the options,
@@ -36,18 +40,18 @@
\define@key{pgfup}{use as bounding box}[]{\def\pgf@up@bb{\pgf@relevantforpicturesizefalse}}
\def\pgfusepath#1{%
- \let\pgf@up@stroke\@empty%
- \let\pgf@up@fill\@empty%
- \let\pgf@up@clip\@empty%
- \let\pgf@up@discard\@empty%
- \let\pgf@up@bb\@empty%
+ \let\pgf@up@stroke\pgf@empty%
+ \let\pgf@up@fill\pgf@empty%
+ \let\pgf@up@clip\pgf@empty%
+ \let\pgf@up@discard\pgf@empty%
+ \let\pgf@up@bb\pgf@empty%
\setkeys{pgfup}{#1}%
\expandafter\def\expandafter\pgf@up@action\expandafter{\csname pgfsys@\pgf@up@fill\pgf@up@stroke\endcsname}%
- \ifx\pgf@up@stroke\@empty%
- \ifx\pgf@up@fill\@empty%
- \ifx\pgf@up@clip\@empty%
- \let\pgf@up@action=\@empty%
- \pgfsyssoftpath@setcurrentpath\@empty%
+ \ifx\pgf@up@stroke\pgf@empty%
+ \ifx\pgf@up@fill\pgf@empty%
+ \ifx\pgf@up@clip\pgf@empty%
+ \let\pgf@up@action=\pgf@empty%
+ \pgfsyssoftpath@setcurrentpath\pgf@empty%
\else%
% only clipping
\let\pgf@up@action=\pgfsys@discardpath%
@@ -56,25 +60,28 @@
\fi%
\pgfprocessround{\pgfsyssoftpath@currentpath}{\pgfsyssoftpath@currentpath}% change the current path
%
- % Check whether the path is stroked. If so, add half the path width
+ % Check whether the path is stroked. If so, add half the line width
% to the bounding box.
%
\ifpgf@relevantforpicturesize%
- \ifx\pgf@up@stroke\@empty%
+ \ifx\pgf@up@stroke\pgf@empty%
\else%
- \pgf@x=\pgf@pathminx\advance\pgf@x by-.5\pgflinewidth%
- \ifdim\pgf@x<\pgf@picminx\global\pgf@picminx\pgf@x\fi%
- \pgf@y=\pgf@pathminy\advance\pgf@y by-.5\pgflinewidth%
- \ifdim\pgf@y<\pgf@picminy\global\pgf@picminy\pgf@y\fi%
- \pgf@x=\pgf@pathmaxx\advance\pgf@x by.5\pgflinewidth%
- \ifdim\pgf@x>\pgf@picmaxx\global\pgf@picmaxx\pgf@x\fi%
- \pgf@y=\pgf@pathmaxy\advance\pgf@y by.5\pgflinewidth%
- \ifdim\pgf@y>\pgf@picmaxy\global\pgf@picmaxy\pgf@y\fi%
+ \ifdim\pgf@picmaxx=-16000pt\relax%
+ \else%
+ \pgf@x=\pgf@pathminx\advance\pgf@x by-.5\pgflinewidth%
+ \ifdim\pgf@x<\pgf@picminx\global\pgf@picminx\pgf@x\fi%
+ \pgf@y=\pgf@pathminy\advance\pgf@y by-.5\pgflinewidth%
+ \ifdim\pgf@y<\pgf@picminy\global\pgf@picminy\pgf@y\fi%
+ \pgf@x=\pgf@pathmaxx\advance\pgf@x by.5\pgflinewidth%
+ \ifdim\pgf@x>\pgf@picmaxx\global\pgf@picmaxx\pgf@x\fi%
+ \pgf@y=\pgf@pathmaxy\advance\pgf@y by.5\pgflinewidth%
+ \ifdim\pgf@y>\pgf@picmaxy\global\pgf@picmaxy\pgf@y\fi%
+ \fi%
\fi%
\fi%
%
- \ifx\pgf@up@clip\@empty%
- \ifx\pgf@up@stroke\@empty%
+ \ifx\pgf@up@clip\pgf@empty%
+ \ifx\pgf@up@stroke\pgf@empty%
\pgfsyssoftpath@invokecurrentpath%
\pgfsyssoftpath@getcurrentpath\pgf@last@used@path%
\pgf@up@action%
@@ -85,7 +92,7 @@
\pgfsyssoftpath@invokecurrentpath%
\pgfsyssoftpath@getcurrentpath\pgf@last@used@path%
\pgf@up@action%
- \pgfsyssoftpath@setcurrentpath\@empty%
+ \pgfsyssoftpath@setcurrentpath\pgf@empty%
\pgf@add@arrows@as@needed%
\else%
\pgfsyssoftpath@invokecurrentpath%
@@ -101,7 +108,7 @@
\pgf@relevantforpicturesizefalse%
\fi%
\pgf@up@bb%
- \pgfsyssoftpath@setcurrentpath\@empty%
+ \pgfsyssoftpath@setcurrentpath\pgf@empty%
\pgf@resetpathsizes%
\ignorespaces%
}
@@ -128,13 +135,13 @@
\def\pgf@check@for@arrows{%
\pgf@drawarrowsfalse%
- \ifx\pgf@startarrow\@empty\else\pgf@drawarrowstrue\fi%
- \ifx\pgf@endarrow\@empty\else\pgf@drawarrowstrue\fi%
+ \ifx\pgf@startarrow\pgf@empty\else\pgf@drawarrowstrue\fi%
+ \ifx\pgf@endarrow\pgf@empty\else\pgf@drawarrowstrue\fi%
\ifdim\pgf@shorten@end@additional=0pt\relax\else\pgf@drawarrowstrue\fi%
\ifdim\pgf@shorten@start@additional=0pt\relax\else\pgf@drawarrowstrue\fi%
\ifpgf@drawarrows%
\pgfsyssoftpath@getcurrentpath\pgf@arrowpath%
- \ifx\pgf@arrowpath\@empty%
+ \ifx\pgf@arrowpath\pgf@empty%
\pgf@drawarrowsfalse%
\else%
\pgfprocesscheckclosed{\pgf@arrowpath}{\pgf@drawarrowsfalse}%
@@ -145,14 +152,14 @@
\newdimen\pgf@shorten@end@additional
\newdimen\pgf@shorten@start@additional
-\let\pgf@shorten@end=\@empty
-\let\pgf@shorten@start=\@empty
+\let\pgf@shorten@end=\pgf@empty
+\let\pgf@shorten@start=\pgf@empty
\def\pgf@shorten@path@as@needed{%
\pgfprocesspathextractpoints{\pgf@arrowpath}%
\let\pgf@arrow@next=\pgf@shorten@now%
- \ifx\pgf@shorten@start\@empty%
- \ifx\pgf@shorten@end\@empty%
+ \ifx\pgf@shorten@start\pgf@empty%
+ \ifx\pgf@shorten@end\pgf@empty%
\ifdim\pgf@shorten@end@additional=0pt\relax%
\ifdim\pgf@shorten@start@additional=0pt\relax%
\let\pgf@arrow@next=\relax%
@@ -169,33 +176,41 @@
\pgf@shorten@start%
\advance\pgf@x by\pgf@shorten@start@additional%
\pgf@xc=\pgf@x%
- \pgf@process{\pgfpointlineatdistance{\pgf@xc}{\pgfpointfirstonpath}{\pgfpointsecondonpath}}%
- \global\pgf@x=\pgf@x%
- \global\pgf@y=\pgf@y%
+ \pgfpointlineatdistance{\pgf@xc}{\pgfpointfirstonpath}{\pgfpointsecondonpath}%
+ \global\pgf@xb=\pgf@x%
+ \global\pgf@yb=\pgf@y%
+ \pgf@process{\pgfpointsecondonpath}%
+ \global\advance\pgf@x by\pgf@xa%
+ \global\advance\pgf@y by\pgf@ya%
}%
- \edef\pgfpointfirstonpath{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}%
+ \edef\pgfpointfirstonpath{\noexpand\pgfpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ \edef\pgfpointsecondonpath{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}%
{%
\pgf@x=0pt%
\pgf@shorten@end%
\advance\pgf@x by\pgf@shorten@end@additional%
\pgf@xc=\pgf@x%
- \pgf@process{\pgfpointlineatdistance{\pgf@xc}{\pgfpointlastonpath}{\pgfpointsecondlastonpath}}%
- \global\pgf@x=\pgf@x%
- \global\pgf@y=\pgf@y%
+ \pgfpointlineatdistance{\pgf@xc}{\pgfpointlastonpath}{\pgfpointsecondlastonpath}%
+ \global\pgf@xb=\pgf@x%
+ \global\pgf@yb=\pgf@y%
+ \pgf@process{\pgfpointsecondlastonpath}%
+ \global\advance\pgf@x by\pgf@xa%
+ \global\advance\pgf@y by\pgf@ya%
}%
- \edef\pgfpointlastonpath{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}%
+ \edef\pgfpointlastonpath{\noexpand\pgfpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ \edef\pgfpointsecondlastonpath{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}%
\pgfprocesspathreplacestartandend{\pgf@arrowpath}{\pgfpointfirstonpath}{\pgfpointlastonpath}%
\pgfsyssoftpath@setcurrentpath\pgf@arrowpath%
}
\def\pgf@add@arrows@as@needed{%
- \ifx\pgf@startarrow\@empty%
+ \ifx\pgf@startarrow\pgf@empty%
\else%
\pgflowlevelobj%
{\pgftransformarrow{\pgfpointsecondonpath}{\pgfpointfirstonpath}}
{\pgf@startarrow}%
\fi%
- \ifx\pgf@endarrow\@empty%
+ \ifx\pgf@endarrow\pgf@empty%
\else%
\pgflowlevelobj%
{\pgftransformarrow{\pgfpointsecondlastonpath}{\pgfpointlastonpath}}
@@ -203,7 +218,7 @@
\fi%
}
-\let\pgf@startarrow=\@empty
-\let\pgf@endarrow=\@empty
+\let\pgf@startarrow=\pgf@empty
+\let\pgf@endarrow=\pgf@empty
\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex
index 26e63666e02..e4cde74a4f8 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex
@@ -1,9 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepoints.code.tex,v 1.1.1.1 2005/06/29 12:14:04 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepoints.code.tex,v 1.5 2006/10/11 15:22:25 tantau Exp $
\newdimen\pgf@picminx
\newdimen\pgf@picmaxx
@@ -53,12 +57,29 @@
%
% Example:
%
-% \pgfpathmoveto{\pgfpoint{2pt}{3cm}}
+% \pgfpathmoveto{\pgfpoint{2pt+3cm}{3cm}}
\def\pgfpoint#1#2{%
\setlength\pgf@x{#1}%
\setlength\pgf@y{#2}\ignorespaces}
+
+% Quickly a point
+%
+% #1 = x-coordinate of the point (no calculations done)
+% #2 = y-coordinate of the point (no calculations done)
+%
+% x = #1
+% y = #2
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfqpoint{2pt}{3cm}}
+
+\def\pgfqpoint#1#2{\pgf@x=#1\pgf@y=#2}
+
+
+
% Return the origin.
%
% x = 0
@@ -283,6 +304,8 @@
%
% x = x-component of start + #1*(normalise(end-start))
% y = y-component of start + #1*(normalise(end-start))
+% xa = #1*(normalise(end-start))
+% ya = #1*(normalise(end-start))
%
% Example:
%
@@ -380,19 +403,19 @@
-% Store a value in polar-coordinates
+% A polar coordinate
%
% #1 = a degree
-% #2 = a radius
+% #2 = a radius -- either a dimension or two dimensions separated by a
+% slash.
%
-% x = #2 * cos(#1)
-% y = #2 * sin(#2)
+% x = (first dimension in #2) * cos(#1)
+% y = (second dimension in #2) * sin(#2)
%
% Example:
%
-% % Create a slanted rectangle
-%
% \pgfpathmoveto{\pgfpointpolar{30}{1cm}}
+% \pgfpathlineto{\pgfpointpolar{30}{1cm/2cm}}
\def\pgfpointpolar#1#2{%
\pgfsincos{#1}%
@@ -413,6 +436,83 @@
}
+% A polar coordinate in the xy plane.
+%
+% #1 = a degree
+% #2 = a radius given as a number or two radi
+%
+% result = (first dim in #2) * x-vector * cos(#1) +
+% (second dim in #2) * y-vector * sin(#1)
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpointpolarxy{30}{2}}
+
+\def\pgfpointpolarxy#1#2{%
+ \pgfsincos{#1}%
+ \in@/{#2}%
+ \ifin@%
+ \pgf@polarxy@#2\@@%
+ \else%
+ \pgf@polarxy@#2/#2\@@%
+ \fi%
+ \pgf@x=\pgf@sys@tonumber{\pgf@xa}\pgf@xx%
+ \advance\pgf@x by \pgf@sys@tonumber{\pgf@ya}\pgf@yx%
+ \pgf@y=\pgf@sys@tonumber{\pgf@xa}\pgf@xy%
+ \advance\pgf@y by \pgf@sys@tonumber{\pgf@ya}\pgf@yy}
+
+\def\pgf@polarxy@#1/#2\@@{%
+ \pgf@xa=#1\pgf@y%
+ \pgf@ya=#2\pgf@x%
+}
+
+
+
+% A cylindrical coordinate.
+%
+% #1 = a degree
+% #2 = a radius given as a number
+% #3 = a height given as a number
+%
+% result = #2*(x-vector * cos(#1) + y-vector * sin(#1)) + #3*z-vector
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpointcylindrical{30}{2}{1}}
+
+\def\pgfpointcylindrical#1#2#3{%
+ \pgfpointpolarxy{#1}{#2}%
+ \advance\pgf@x by #3\pgf@zx%
+ \advance\pgf@y by #3\pgf@zy}
+
+
+% A spherical coordinate.
+%
+% #1 = a longitude
+% #2 = a latitude
+% #3 = a radius
+%
+% result = #3*(cos(#2)*(x-vector * cos(#1) + y-vector * sin(#1)) + sin(#2)*z-vector)
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpointspherical{30}{30}{2}}
+
+\def\pgfpointspherical#1#2#3{%
+ \pgfsincos{#1}%
+ \pgf@xb=\pgf@sys@tonumber{\pgf@y}\pgf@xx%
+ \advance\pgf@xb by \pgf@sys@tonumber{\pgf@x}\pgf@yx%
+ \pgf@yb=\pgf@sys@tonumber{\pgf@y}\pgf@xy%
+ \advance\pgf@yb by \pgf@sys@tonumber{\pgf@x}\pgf@yy%
+ \pgfsincos{#2}%
+ \pgf@xc=\pgf@sys@tonumber{\pgf@y}\pgf@xb%
+ \advance\pgf@xc by \pgf@sys@tonumber{\pgf@x}\pgf@zx%
+ \pgf@yc=\pgf@sys@tonumber{\pgf@y}\pgf@yb%
+ \advance\pgf@yc by \pgf@sys@tonumber{\pgf@x}\pgf@zy%
+ \pgf@x=#3\pgf@xc%
+ \pgf@y=#3\pgf@yc%
+}
+
% Store the vector #1 * x-vec + #2 * y-vec
%
@@ -800,7 +900,7 @@
\def\pgfextractx#1#2{%
\pgf@process{#2}%
- #1=1.00374\pgf@x\relax}
+ #1=\pgf@x\relax}
% Extract the y-coordinate of a point to a dimensions
@@ -816,7 +916,7 @@
\def\pgfextracty#1#2{%
\pgf@process{#2}%
- #1=1.00374\pgf@y\relax}
+ #1=\pgf@y\relax}
\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
index 50c63ac22c7..84a432ceadb 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
@@ -1,10 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorequick.code.tex,v 1.1.1.1 2005/06/29 12:14:04 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorequick.code.tex,v 1.2 2006/10/11 15:22:25 tantau Exp $
% Quick version of basic drawing commands. Most high-level commands
% are not available if these commands are used.
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex
index f0b862575b7..bad6e237ecb 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex
@@ -1,9 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorescopes.code.tex,v 1.12 2005/11/15 17:46:37 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorescopes.code.tex,v 1.18 2006/10/11 15:22:25 tantau Exp $
% Globals
@@ -12,6 +16,61 @@
\newbox\pgf@layerbox@main
+\newcount\pgf@picture@serial@count
+
+
+
+% This if decides whether the position of pictures on the page is
+% protocolled or not. Normally,
+% this is switched off as it works only with certain drivers and it
+% causes external files to be written. When switched on, the position
+% of pgfpictures are protocolled and can be referenced using
+% \pgfsys@getposition{XXX} where XXX is the value of \pgfpictureid
+% inside the picture.
+\newif\ifpgfrememberpicturepositiononpage
+
+
+
+% Library files inclusion
+
+
+% Include a library file.
+%
+% #1 = List of names of library file.
+%
+% Description:
+%
+% This command includes a list of library files. For each file X in the
+% list, the file pgflibraryX.code.tex is included, provided this has
+% not been done earlier.
+%
+% For the convenience of Context users, both round and square brackets
+% are possible for the argument.
+%
+% Example:
+%
+% \usepgflibrary{arrows}
+% \usepgflibrary[patterns,snakes]
+
+\def\usepgflibrary{\pgf@ifnextchar[{\use@pgflibrary}{\use@@pgflibrary}}%}
+\def\use@pgflibrary[#1]{\use@@pgflibrary{#1}}
+\def\use@@pgflibrary#1{%
+ \edef\pgf@list{#1}%
+ \@for\pgf@temp:=\pgf@list\do{%
+ \expandafter\ifx\csname pgf@library@\pgf@temp @loaded\endcsname\relax%
+ \expandafter\let\csname pgf@library@\pgf@temp @loaded\endcsname=\pgf@empty%
+ \expandafter\edef\csname pgf@library@#1@atcode\endcsname{\the\catcode`\@}
+ \expandafter\edef\csname pgf@library@#1@barcode\endcsname{\the\catcode`\|}
+ \catcode`\@=11
+ \catcode`\|=12
+ \input pgflibrary\pgf@temp.code.tex
+ \catcode`\@=\csname pgf@library@#1@atcode\endcsname
+ \catcode`\|=\csname pgf@library@#1@barcode\endcsname
+ \fi%
+ }%
+}
+
+
% Scopes
@@ -27,7 +86,7 @@
% \end{pgfscope}
\def\pgfscope{%
- \pgfsyssoftpath@setcurrentpath\@empty%
+ \pgfsyssoftpath@setcurrentpath\pgf@empty%
\pgfsys@beginscope%
\pgf@resetpathsizes%
\edef\pgfscope@linewidth{\the\pgflinewidth}%
@@ -86,7 +145,7 @@
% \pgftransformshift{\pgfpoint{1cm}{0cm}}
% \pgftext{Hello World!}
-\def\pgftext{\@ifnextchar[\pgf@text{\pgf@text[]}}%
+\def\pgftext{\pgf@ifnextchar[\pgf@text{\pgf@text[]}}%
\def\pgf@text[#1]{%
\def\pgf@text@options{#1}%
\pgf@maketext\pgf@after@text}
@@ -141,7 +200,7 @@
\let\next=%
}
\def\pgf@collectresetcolor{%
- \@ifnextchar\reset@color%
+ \pgf@ifnextchar\reset@color%
{\reset@color\afterassignment\pgf@collectresetcolor\let\pgf@temp=}%
{\pgf@textdone}%
}
@@ -157,7 +216,6 @@
#1%
\endpgfinterruptpicture%
}}}
-
@@ -176,14 +234,16 @@
\def\pgfpicture{%
\begingroup%
- \pgfpicturetrue%
- \pgf@picmaxx=-16000pt\relax%
- \pgf@picminx=16000pt\relax%
- \pgf@picmaxy=-16000pt\relax%
- \pgf@picminy=16000pt\relax%
- \pgf@relevantforpicturesizetrue%
- \pgf@resetpathsizes%
- \@ifnextchar\bgroup\pgf@oldpicture\pgf@picture}
+ \pgfpicturetrue%
+ \global\advance\pgf@picture@serial@count by1\relax%
+ \edef\pgfpictureid{pgfid@\the\pgf@picture@serial@count}%
+ \pgf@picmaxx=-16000pt\relax%
+ \pgf@picminx=16000pt\relax%
+ \pgf@picmaxy=-16000pt\relax%
+ \pgf@picminy=16000pt\relax%
+ \pgf@relevantforpicturesizetrue%
+ \pgf@resetpathsizes%
+ \pgf@ifnextchar\bgroup\pgf@oldpicture\pgf@picture}
\def\pgf@oldpicture#1#2#3#4{%
\setlength\pgf@picminx{#1}%
\setlength\pgf@picminy{#2}%
@@ -198,10 +258,10 @@
\pgfsys@beginpicture%
\pgfsys@beginscope%
\begingroup%
- \color{.}%
+ \pgfsetcolor{.}%
\pgfsetlinewidth{0.4pt}%
\pgftransformreset%
- \pgfsyssoftpath@setcurrentpath\@empty%
+ \pgfsyssoftpath@setcurrentpath\pgf@empty%
\begingroup%
\let\pgf@setlengthorig=\setlength%
\let\pgf@addtolengthorig=\addtolength%
@@ -214,8 +274,21 @@
\begingroup%
}
\def\endpgfpicture{%
+ \ifpgfrememberpicturepositiononpage%
+ \hbox to0pt{\pgfsys@markposition{\pgfpictureid}}%
+ \fi%
+ % ok, now let's position the box
+ \ifdim\pgf@picmaxx=-16000pt\relax%
+ % empty picture. make size 0.
+ \global\pgf@picmaxx=0pt\relax%
+ \global\pgf@picminx=0pt\relax%
+ \global\pgf@picmaxy=0pt\relax%
+ \global\pgf@picminy=0pt\relax%
+ \fi%
% Shift baseline outside:
- \global\let\pgf@shift@baseline=\pgf@baseline%
+ \pgf@relevantforpicturesizefalse%
+ \pgf@process{\pgf@baseline}%
+ \gdef\pgf@shift@baseline{\the\pgf@y}%
\endgroup%
\hss%
\egroup%
@@ -228,14 +301,6 @@
\endgroup%
\hss
\egroup%
- % ok, now let's position the box
- \ifdim\pgf@picmaxx=-16000pt\relax%
- % empty picture. make size 0.
- \pgf@picmaxx=0pt\relax%
- \pgf@picminx=0pt\relax%
- \pgf@picmaxy=0pt\relax%
- \pgf@picminy=0pt\relax%
- \fi%
\pgfsys@typesetpicturebox\pgfpic%
\endgroup%
}
@@ -245,6 +310,41 @@
}
+
+
+% Sets the baseline at the y-coordinate of a given point
+%
+% #1 = point
+%
+% Sets the baseline of the picture to the y-coordinate of a given
+% point. However, the point will be evaluated *at the end of the
+% picture*.
+%
+% Example:
+%
+% \pgfsetbaselinepointlater{\pgfpointanchor{mynode}{base}}
+
+\def\pgfsetbaselinepointlater#1{\def\pgf@baseline{#1}}
+
+
+% Sets the baseline at the y-coordinate of a given point, now
+%
+% #1 = point
+%
+% Sets the baseline of the picture to the y-coordinate of a given
+% point.
+%
+% Example:
+%
+% \pgfsetbaselinepointnow{\pgfpoint{1cm}{2pt}}
+
+\def\pgfsetbaselinepointnow#1{%
+ \pgf@process{#1}%
+ \edef\pgf@setter@baseline{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}%
+ \pgfsetbaselinepointlater{\pgf@setter@baseline}%
+}
+
+
% Sets the baseline
%
% #1 = baseline
@@ -256,13 +356,12 @@
%
% \pgfsetbaseline{1cm+2pt}
-\def\pgfsetbaseline#1{\def\pgf@baseline{#1}}
+\def\pgfsetbaseline#1{\pgfsetbaselinepointlater{\pgfpoint{0pt}{#1}}}
\pgfsetbaseline{\pgf@picminy}
-
% Interrupt path
%
% Description:
@@ -291,7 +390,7 @@
\edef\pgf@interrupt@savey{\the\pgf@path@lasty}%
\pgf@getpathsizes\pgf@interrupt@pathsizes%
\pgfsyssoftpath@getcurrentpath\pgf@interrupt@path%
- \pgfsyssoftpath@setcurrentpath\@empty%
+ \pgfsyssoftpath@setcurrentpath\pgf@empty%
\edef\pgfscope@linewidth{\the\pgflinewidth}%
\let\pgf@interrupt@lastmoveto=\pgfsyssoftpath@lastmoveto%
\begingroup%
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
index 707c1708789..2eebc7d6035 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
@@ -1,10 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoreshade.code.tex,v 1.3 2005/07/17 22:34:19 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoreshade.code.tex,v 1.6 2006/10/11 15:22:25 tantau Exp $
%
% Parsing functions
@@ -17,16 +20,16 @@
\edef\temp{{\pgf@rgbconv}}%
\expandafter\pgf@@parsefunc\temp}
\def\pgf@@parsefunc#1{%
- \let\pgf@bounds=\@empty%
- \let\pgf@funcs=\@empty%
- \let\pgf@psfuncs=\@empty%
- \let\pgf@encode=\@empty%
- \let\pgf@sys@shading@ranges=\@empty%
+ \let\pgf@bounds=\pgf@empty%
+ \let\pgf@funcs=\pgf@empty%
+ \let\pgf@psfuncs=\pgf@empty%
+ \let\pgf@encode=\pgf@empty%
+ \let\pgf@sys@shading@ranges=\pgf@empty%
\pgf@sys@shading@range@num=0\relax%
\pgf@parsefirst[#1; ]%
\pgf@parselastdom[#1; ]%
\pgf@parsemid[#1; ]%
- \ifx\pgf@bounds\@empty%
+ \ifx\pgf@bounds\pgf@empty%
\edef\pgf@pdfparseddomain{0 1}%
\edef\pgf@pdfparsedfunction{\pgf@singlefunc\space}%
\else%
@@ -51,7 +54,7 @@
\edef\pgf@prevcolor{\pgf@rgb}%
\edef\pgf@firstcolor{\pgf@rgb}}
\def\pgf@parselastdom[rgb(#1)=(#2,#3,#4); {%
- \@ifnextchar]{%
+ \pgf@ifnextchar]{%
\setlength\pgf@x{#1}%
\edef\pgf@sys@shading@end@pos{\the\pgf@x}%
\pgf@max=\pgf@x\relax%
@@ -59,11 +62,11 @@
\edef\pgf@domb{\pgf@sys@tonumber{\pgf@x}}%
\pgf@getrgbtuplewithmixin{#2}{#3}{#4}%
\edef\pgf@sys@shading@end@rgb{\pgf@sys@rgb}%
- \@gobble}{\pgf@parselastdom[}}
+ \pgf@gobble}{\pgf@parselastdom[}}
\def\pgf@parsemid[rgb(#1)=(#2,#3,#4); {\pgf@parserest[}
\def\pgf@parserest[rgb(#1)=(#2,#3,#4); {%
\advance\pgf@sys@shading@range@num by1\relax%
- \@ifnextchar]{%
+ \pgf@ifnextchar]{%
\pgf@getrgbtuplewithmixin{#2}{#3}{#4}%
\edef\pgf@singlefunc{\space%
<< /FunctionType 2 /Domain [0 1] /C0
@@ -76,7 +79,7 @@
\edef\pgf@sys@shading@ranges{\pgf@sys@shading@ranges{{\pgf@sys@prevpos}{\the\pgf@x}{\pgf@sys@prevcolor}{\pgf@sys@rgb}}}%
\edef\pgf@sys@prevpos{\the\pgf@x}%
\let\pgf@sys@prevcolor=\pgf@sys@rgb%
- \@gobble}{%
+ \pgf@gobble}{%
\setlength\pgf@x{#1}%
\pgf@getrgbtuplewithmixin{#2}{#3}{#4}%
\edef\pgf@sys@shading@ranges{\pgf@sys@shading@ranges{{\pgf@sys@prevpos}{\the\pgf@x}{\pgf@sys@prevcolor}{\pgf@sys@rgb}}}%
@@ -98,7 +101,7 @@
\def\pgf@getrgbtuplewithmixin#1#2#3{%
\definecolor{pgfshadetemp}{rgb}{#1,#2,#3}%
- \@ifundefined{applycolormixins}{}{\applycolormixins{pgfshadetemp}}%
+ \pgf@ifundefined{applycolormixins}{}{\applycolormixins{pgfshadetemp}}%
\extractcolorspec{pgfshadetemp}{\pgf@tempcolor}%
\expandafter\convertcolorspec\pgf@tempcolor{rgb}{\pgf@rgbcolor}%
\expandafter\pgf@getrgb@@\pgf@rgbcolor!}
@@ -113,15 +116,15 @@
\pgf@converttorgb#1]%
}
\def\pgf@converttorgb{%
- \@ifnextchar]{\@gobble}%done!
+ \pgf@ifnextchar]{\pgf@gobble}%done!
{%
- \@ifnextchar;{\pgf@grabsemicolor}%
+ \pgf@ifnextchar;{\pgf@grabsemicolor}%
{%
- \@ifnextchar r{\pgf@grabrgb}%
+ \pgf@ifnextchar r{\pgf@grabrgb}%
{%
- \@ifnextchar g{\pgf@grabgray}%
+ \pgf@ifnextchar g{\pgf@grabgray}%
{%
- \@ifnextchar c{\pgf@grabcolor}%
+ \pgf@ifnextchar c{\pgf@grabcolor}%
{\PackageError{pgfshade}{Illformed shading
specification}{}\pgf@converttorgb}%
}%
@@ -171,15 +174,15 @@
% The following bar is 2cm long: \pgfuseshading{redtogreentoblue}.
% \end{document}
-\def\pgfdeclarehorizontalshading{\@ifnextchar[\pgf@declarehorizontalshading{\pgf@declarehorizontalshading[]}}%
+\def\pgfdeclarehorizontalshading{\pgf@ifnextchar[\pgf@declarehorizontalshading{\pgf@declarehorizontalshading[]}}%
\def\pgf@declarehorizontalshading[#1]#2#3#4{%
\expandafter\def\csname pgf@deps@pgfshading#2!\endcsname{#1}%
- \expandafter\ifx\csname pgf@deps@pgfshading#2!\endcsname\@empty%
+ \expandafter\ifx\csname pgf@deps@pgfshading#2!\endcsname\pgf@empty%
\pgfsys@horishading{#2}{#3}{#4}%
\else%
\expandafter\def\csname pgf@func@pgfshading#2!\endcsname{\pgfsys@horishading}%
\expandafter\def\csname pgf@args@pgfshading#2!\endcsname{{#3}{#4}}%
- \expandafter\let\csname @pgfshading#2!\endcsname=\@empty%
+ \expandafter\let\csname @pgfshading#2!\endcsname=\pgf@empty%
\fi}
@@ -200,15 +203,15 @@
% The following bar is 2cm high: \pgfuseshading{redtogreentoblue}.
% \end{document}
-\def\pgfdeclareverticalshading{\@ifnextchar[\pgf@declareverticalshading{\pgf@declareverticalshading[]}}%
+\def\pgfdeclareverticalshading{\pgf@ifnextchar[\pgf@declareverticalshading{\pgf@declareverticalshading[]}}%
\def\pgf@declareverticalshading[#1]#2#3#4{%
\expandafter\def\csname pgf@deps@pgfshading#2!\endcsname{#1}%
- \expandafter\ifx\csname pgf@deps@pgfshading#2!\endcsname\@empty%
+ \expandafter\ifx\csname pgf@deps@pgfshading#2!\endcsname\pgf@empty%
\pgfsys@vertshading{#2}{#3}{#4}%
\else%
\expandafter\def\csname pgf@func@pgfshading#2!\endcsname{\pgfsys@vertshading}%
\expandafter\def\csname pgf@args@pgfshading#2!\endcsname{{#3}{#4}}%
- \expandafter\let\csname @pgfshading#2!\endcsname=\@empty%
+ \expandafter\let\csname @pgfshading#2!\endcsname=\pgf@empty%
\fi}
@@ -242,15 +245,15 @@
% The following ball has diameter 3cm: \pgfuseshading{redtogreentoblue}.
% \end{document}
-\def\pgfdeclareradialshading{\@ifnextchar[\pgf@declareradialshading{\pgf@declareradialshading[]}}%
+\def\pgfdeclareradialshading{\pgf@ifnextchar[\pgf@declareradialshading{\pgf@declareradialshading[]}}%
\def\pgf@declareradialshading[#1]#2#3#4{%
\expandafter\def\csname pgf@deps@pgfshading#2!\endcsname{#1}%
- \expandafter\ifx\csname pgf@deps@pgfshading#2!\endcsname\@empty%
+ \expandafter\ifx\csname pgf@deps@pgfshading#2!\endcsname\pgf@empty%
\pgfsys@radialshading{#2}{#3}{#4}%
\else%
\expandafter\def\csname pgf@func@pgfshading#2!\endcsname{\pgfsys@radialshading}%
\expandafter\def\csname pgf@args@pgfshading#2!\endcsname{{#3}{#4}}%
- \expandafter\let\csname @pgfshading#2!\endcsname=\@empty%
+ \expandafter\let\csname @pgfshading#2!\endcsname=\pgf@empty%
\fi}
@@ -266,19 +269,19 @@
\def\pgfuseshading#1{%
\edef\pgf@shadingname{@pgfshading#1}%
\pgf@tryextensions{\pgf@shadingname}{\pgfalternateextension}%
- \expandafter\@ifundefined\expandafter{\pgf@shadingname}%
+ \expandafter\pgf@ifundefined\expandafter{\pgf@shadingname}%
{\PackageError{pgfshade}{Undefined shading "#1"}{}}%
{%
{%
\globalcolorsfalse%
\def\pgf@shade@adds{}%
- \@ifundefined{pgf@deps\pgf@shadingname}%
+ \pgf@ifundefined{pgf@deps\pgf@shadingname}%
{}%
{%
\edef\@list{\csname pgf@deps\pgf@shadingname\endcsname}%
\@for\@temp:=\@list\do{%
{%
- \@ifundefined{applycolormixins}{}{\applycolormixins{\@temp}}%
+ \pgf@ifundefined{applycolormixins}{}{\applycolormixins{\@temp}}%
\extractcolorspec{\@temp}{\pgf@tempcolor}%
\expandafter\convertcolorspec\pgf@tempcolor{rgb}{\pgf@rgbcolor}%
\xdef\pgf@shade@adds{\pgf@shade@adds,\pgf@rgbcolor}%
@@ -286,7 +289,7 @@
}%
}%
\expandafter\pgf@strip@shadename\pgf@shadingname!!%
- \@ifundefined{@pgfshading\pgf@basename\pgf@shade@adds!}%
+ \pgf@ifundefined{@pgfshading\pgf@basename\pgf@shade@adds!}%
{%
{%
\expandafter\def\expandafter\@temp\expandafter{\csname pgf@func\pgf@shadingname\endcsname}%
@@ -352,6 +355,9 @@
% completely covers the path. Then the path will be used (locally) for
% clipping and the shading is drawn.
%
+% In addition to the rotation, any transformation set by the
+%\pgfsetadditionalshadetransform will also be applied.
+%
% After all this, the path can still be used for the normal
% stroking/clipping operations.
%
@@ -400,10 +406,31 @@
\pgfsys@transformcm%
{\pgf@sys@tonumber{\pgf@y}}{\pgf@sys@tonumber{\pgf@x}}%
{\pgf@sys@tonumber{\pgf@xa}}{\pgf@sys@tonumber{\pgf@y}}{0pt}{0pt}%
+ \ifx\pgf@shade@extra@transform\pgf@empty%
+ \else%
+ \pgflowlevel{\pgf@shade@extra@transform}%
+ \fi%
\pgfuseshading{#1}%
\pgfsys@endscope%
\endgroup%
\fi%
}
+
+% Additionally transform shade paths
+%
+% #1 = Transformation code that is used in addition to the normal
+% shading transformation.
+%
+% Example:
+%
+% \pgfsetadditionalshadetransform{\pgftransformrotate{30}}
+
+\def\pgfsetadditionalshadetransform#1{\def\pgf@shade@extra@transform{#1}}
+\let\pgf@shade@extra@transform=\pgf@empty
+
+
+
+
+
\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex
index b9c1e51cff0..54eff0c9c0e 100644
--- a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex
@@ -1,10 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoretransformations.code.tex,v 1.1.1.1 2005/06/29 12:14:04 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoretransformations.code.tex,v 1.4 2006/10/11 15:22:25 tantau Exp $
% Position transformations
@@ -233,6 +236,37 @@
+% Transformation into a given triangle. The three corners of the
+% triangle are called "origin", "x" and "y" are given. After this
+% transformation has been applied, the canvas origin is at "origin",
+% the vector (1pt,0pt) lies at "x" and the vector (0pt,1pt) lies at
+% "y".
+%
+% #1 = origin
+% #2 = x
+% #3 = y
+%
+% Example:
+%
+% \pgftransformtriangle{\pgfpointorigin}{\pgfpoint{1cm}{1cm}}{\pgfpoint{-1cm}{1cm}}
+
+\def\pgftransformtriangle#1#2#3{%
+ \pgf@process{#2}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{#3}%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \pgf@process{#1}%
+ \advance\pgf@xa by-\pgf@x%
+ \advance\pgf@ya by-\pgf@y%
+ \advance\pgf@xb by-\pgf@x%
+ \advance\pgf@yb by-\pgf@y%
+ \pgftransformcm%
+ {\pgf@sys@tonumber\pgf@xa}{\pgf@sys@tonumber\pgf@ya}%
+ {\pgf@sys@tonumber\pgf@xb}{\pgf@sys@tonumber\pgf@yb}%
+ {\pgfpoint{\pgf@x}{\pgf@y}}%
+}
@@ -333,12 +367,16 @@
-% The following two if's have the following effect:
+% The following if's have the following effect:
%
% \ifpgfslopedattime decides whether the coordinate system of an
% xxxattime transformation command should be rotated such that text
% drawn on the line should be tangent to the line
%
+% \ifpgfallowupsidedowattime decides whether the transformation should
+% be done in such a way that the text is always ``upright,'' that is,
+% text drawn in this coordiante system is never upside-down.
+%
% \ifpgfresetnontranslationattime decides whether the coordinate
% system of an xxxattime transformation command should be reset
% (concerning the non-translations) before a possible rotation is
@@ -347,6 +385,7 @@
% to the text, but you do want the rotation to applyu.
\newif\ifpgfslopedattime
+\newif\ifpgfallowupsidedownattime
\newif\ifpgfresetnontranslationattime
@@ -382,9 +421,12 @@
\pgf@process{#3}%
\advance\pgf@x by-\pgf@xa%
\advance\pgf@y by-\pgf@ya%
- \ifdim\pgf@x<0pt%
- \pgf@x=-\pgf@x%
- \pgf@y=-\pgf@y%
+ \ifpgfallowupsidedownattime%
+ \else%
+ \ifdim\pgf@x<0pt%
+ \pgf@x=-\pgf@x%
+ \pgf@y=-\pgf@y%
+ \fi%
\fi%
\pgfpointnormalised{}% x/y = normalised vector
\pgf@ya=-\pgf@y%
@@ -426,13 +468,16 @@
\pgftransformresetnontranslations%
\fi%
\ifpgfslopedattime%
- \pgf@x=\pgf@xb%
- \pgf@y=\pgf@yb%
- \advance\pgf@x by-\pgf@xa%
- \advance\pgf@y by-\pgf@ya%
- \ifdim\pgf@x<0pt%
- \pgf@x=-\pgf@x%
- \pgf@y=-\pgf@y%
+ \pgf@x=\pgf@xa%
+ \pgf@y=\pgf@ya%
+ \advance\pgf@x by-\pgf@xb%
+ \advance\pgf@y by-\pgf@yb%
+ \ifpgfallowupsidedownattime%
+ \else%
+ \ifdim\pgf@x<0pt%
+ \pgf@x=-\pgf@x%
+ \pgf@y=-\pgf@y%
+ \fi%
\fi%
\pgfpointnormalised{}% x/y = normalised vector
\pgf@ya=-\pgf@y%
diff --git a/Master/texmf-dist/tex/generic/pgf/frontendlayer/tikz.code.tex b/Master/texmf-dist/tex/generic/pgf/frontendlayer/tikz.code.tex
index 8541b57607a..ceeaaacb863 100644
--- a/Master/texmf-dist/tex/generic/pgf/frontendlayer/tikz.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/frontendlayer/tikz.code.tex
@@ -1,10 +1,22 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/frontendlayer/tikz.code.tex,v 1.35 2005/11/09 15:49:25 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/frontendlayer/tikz.code.tex,v 1.65 2006/10/11 15:22:25 tantau Exp $
+
+
+% Always-present libraries:
+
+\usepgflibrary{plothandlers}
+
+\let\tikz@orig@setkeys=\setkeys % guard against changes, later
+\let\tikz@orig@define@key=\define@key
\newdimen\tikz@lastx
\newdimen\tikz@lasty
@@ -26,8 +38,7 @@
\newif\iftikz@node@is@a@label
\newif\iftikz@snaked
-\let\tikz@options=\@empty
-\let\tikz@transform=\relax
+\let\tikz@options=\pgf@empty
\def\tikz@addoption#1{\expandafter\def\expandafter\tikz@options\expandafter{\tikz@options#1}}
\def\tikz@addmode#1{\expandafter\def\expandafter\tikz@mode\expandafter{\tikz@mode#1}}
\def\tikz@addtransform#1{%
@@ -40,30 +51,38 @@
+% TikZ options:
+
+\def\tikzoption{\tikz@orig@define@key{tikz}}
+
+
+
% Baseline options
-\define@key{tikz}{baseline}[0pt]{\pgfsetbaseline{#1}}%
+\tikzoption{baseline}[0pt]{\pgf@ifnextchar({\tikz@baseline@coordinate}{\tikz@baseline@simple}#1\@nil}%)
+\def\tikz@baseline@simple#1\@nil{\pgfsetbaseline{#1}}
+\def\tikz@baseline@coordinate#1\@nil{\pgfsetbaselinepointlater{\tikz@scan@one@point\@firstofone#1}}
% Draw options
-\define@key{tikz}{line width}{\tikz@semiaddlinewidth{#1}}%
+\tikzoption{line width}{\tikz@semiaddlinewidth{#1}}%
\def\tikz@semiaddlinewidth#1{\tikz@addoption{\pgfsetlinewidth{#1}}\setlength\pgflinewidth{#1}}
-\define@key{tikz}{cap}{\tikz@addoption{\csname pgfset#1cap\endcsname}}
-\define@key{tikz}{join}{\tikz@addoption{\csname pgfset#1join\endcsname}}
-\define@key{tikz}{miter limit}{\tikz@addoption{\pgfsetmiterlimit{#1}}}
+\tikzoption{cap}{\tikz@addoption{\csname pgfset#1cap\endcsname}}
+\tikzoption{join}{\tikz@addoption{\csname pgfset#1join\endcsname}}
+\tikzoption{miter limit}{\tikz@addoption{\pgfsetmiterlimit{#1}}}
-\define@key{tikz}{dash pattern}{% syntax: on 2pt off 3pt on 4pt ...
+\tikzoption{dash pattern}{% syntax: on 2pt off 3pt on 4pt ...
\def\tikz@temp{#1}%
- \ifx\tikz@temp\@empty%
+ \ifx\tikz@temp\pgf@empty%
\def\tikz@dashpattern{}%
\tikz@addoption{\pgfsetdash{}{0pt}}%
\else%
\def\tikz@dashpattern{}%
- \expandafter\tikz@scandashon\@gobble#1o\@nil%
+ \expandafter\tikz@scandashon\pgf@gobble#1o\@nil%
\edef\tikz@temp{{\tikz@dashpattern}{\noexpand\tikz@dashphase}}%
\expandafter\tikz@addoption\expandafter{\expandafter\pgfsetdash\tikz@temp}%
\fi}
-\define@key{tikz}{dash phase}{%
+\tikzoption{dash phase}{%
\def\tikz@dashphase{#1}%
\edef\tikz@temp{{\tikz@dashpattern}{\noexpand\tikz@dashphase}}%
\expandafter\tikz@addoption\expandafter{\expandafter\pgfsetdash\tikz@temp}%
@@ -72,22 +91,26 @@
\def\tikz@scandashon n#1o{%
\expandafter\def\expandafter\tikz@dashpattern\expandafter{\tikz@dashpattern{#1}}%
- \@ifnextchar\@nil{\@gobble}{\tikz@scandashoff}}
+ \pgf@ifnextchar\@nil{\pgf@gobble}{\tikz@scandashoff}}
\def\tikz@scandashoff ff#1o{%
\expandafter\def\expandafter\tikz@dashpattern\expandafter{\tikz@dashpattern{#1}}%
- \@ifnextchar\@nil{\@gobble}{\tikz@scandashon}}
+ \pgf@ifnextchar\@nil{\pgf@gobble}{\tikz@scandashon}}
-\define@key{tikz}{draw opacity}{\tikz@addoption{\pgfsetstrokeopacity{#1}}}
+\tikzoption{draw opacity}{\tikz@addoption{\pgfsetstrokeopacity{#1}}}
% Double draw options
-\define@key{tikz}{double}[]{%
+\tikzoption{double}[]{%
\def\tikz@temp{#1}%
- \ifx\tikz@temp\@empty%
+ \ifx\tikz@temp\tikz@nonetext%
+ \tikz@addmode{\tikz@mode@doublefalse}%
\else%
- \def\tikz@double@color{#1}%
- \fi%
- \tikz@addmode{\tikz@mode@doubletrue}}
-\define@key{tikz}{double distance}{%
+ \ifx\tikz@temp\pgf@empty%
+ \else%
+ \def\tikz@double@color{#1}%
+ \fi%
+ \tikz@addmode{\tikz@mode@doubletrue}%
+ \fi}
+\tikzoption{double distance}{%
\setlength{\pgf@x}{#1}%
\edef\tikz@double@width@distance{\the\pgf@x}%
\tikz@addmode{\tikz@mode@doubletrue}}
@@ -97,51 +120,53 @@
% Fill options
-\define@key{tikz}{even odd rule}[]{\tikz@addoption{\pgfseteorule}}
-\define@key{tikz}{nonzero rule}[]{\tikz@addoption{\pgfsetnonzerorule}}
+\tikzoption{even odd rule}[]{\tikz@addoption{\pgfseteorule}}
+\tikzoption{nonzero rule}[]{\tikz@addoption{\pgfsetnonzerorule}}
-\define@key{tikz}{fill opacity}{\tikz@addoption{\pgfsetfillopacity{#1}}}
+\tikzoption{fill opacity}{\tikz@addoption{\pgfsetfillopacity{#1}}}
% Joined fill/draw options
-\define@key{tikz}{opacity}{\tikz@addoption{\pgfsetstrokeopacity{#1}\pgfsetfillopacity{#1}}}
+\tikzoption{opacity}{\tikz@addoption{\pgfsetstrokeopacity{#1}\pgfsetfillopacity{#1}}}
% Main color options
-\define@key{tikz}{color}{%
+\tikzoption{color}{%
\tikz@addoption{%
- \ifx\tikz@fillcolor\@empty%
- \ifx\tikz@strokecolor\@empty%
+ \ifx\tikz@fillcolor\pgf@empty%
+ \ifx\tikz@strokecolor\pgf@empty%
\else%
\pgfsys@color@reset@inorderfalse%
- \let\tikz@strokecolor\@empty%
- \let\tikz@fillcolor\@empty%
+ \let\tikz@strokecolor\pgf@empty%
+ \let\tikz@fillcolor\pgf@empty%
\fi%
\else%
\pgfsys@color@reset@inorderfalse%
- \let\tikz@strokecolor\@empty%
- \let\tikz@fillcolor\@empty%
+ \let\tikz@strokecolor\pgf@empty%
+ \let\tikz@fillcolor\pgf@empty%
\fi%
\colorlet{tikz@color}{#1}%
- \color{tikz@color}%
+ \colorlet{.}{tikz@color}%
+ \pgfsetcolor{.}%
\pgfsys@color@reset@inordertrue%
}%
\def\tikz@textcolor{#1}}
+
% Rounding options
-\define@key{tikz}{rounded corners}[4pt]{\pgfsetcornersarced{\pgfpoint{#1}{#1}}}
-\define@key{tikz}{sharp corners}[]{\pgfsetcornersarced{\pgfpointorigin}}
+\tikzoption{rounded corners}[4pt]{\pgfsetcornersarced{\pgfpoint{#1}{#1}}}
+\tikzoption{sharp corners}[]{\pgfsetcornersarced{\pgfpointorigin}}
% Coordinate options
-\define@key{tikz}{x}{\tikz@handle@vec{\pgfsetxvec}{\tikz@handle@x}#1\relax}
-\define@key{tikz}{y}{\tikz@handle@vec{\pgfsetyvec}{\tikz@handle@y}#1\relax}
-\define@key{tikz}{z}{\tikz@handle@vec{\pgfsetzvec}{\tikz@handle@z}#1\relax}
+\tikzoption{x}{\tikz@handle@vec{\pgfsetxvec}{\tikz@handle@x}#1\relax}
+\tikzoption{y}{\tikz@handle@vec{\pgfsetyvec}{\tikz@handle@y}#1\relax}
+\tikzoption{z}{\tikz@handle@vec{\pgfsetzvec}{\tikz@handle@z}#1\relax}
-\def\tikz@handle@vec#1#2{\@ifnextchar({\tikz@handle@coordinate#1}{\tikz@handle@single#2}}
+\def\tikz@handle@vec#1#2{\pgf@ifnextchar({\tikz@handle@coordinate#1}{\tikz@handle@single#2}}
\def\tikz@handle@coordinate#1{\tikz@scan@one@point#1}
\def\tikz@handle@single#1#2\relax{#1{#2}}
\def\tikz@handle@x#1{\pgfsetxvec{\pgfpoint{#1}{0pt}}}
@@ -150,13 +175,13 @@
% Transformation options
-\define@key{tikz}{scale}{\tikz@addtransform{\pgftransformscale{#1}}}
-\define@key{tikz}{xscale}{\tikz@addtransform{\pgftransformxscale{#1}}}
-\define@key{tikz}{xslant}{\tikz@addtransform{\pgftransformxslant{#1}}}
-\define@key{tikz}{yscale}{\tikz@addtransform{\pgftransformyscale{#1}}}
-\define@key{tikz}{yslant}{\tikz@addtransform{\pgftransformyslant{#1}}}
-\define@key{tikz}{rotate}{\tikz@addtransform{\pgftransformrotate{#1}}}
-\define@key{tikz}{rotate around}{\tikz@addtransform{\tikz@rotatearound{#1}}}
+\tikzoption{scale}{\tikz@addtransform{\pgftransformscale{#1}}}
+\tikzoption{xscale}{\tikz@addtransform{\pgftransformxscale{#1}}}
+\tikzoption{xslant}{\tikz@addtransform{\pgftransformxslant{#1}}}
+\tikzoption{yscale}{\tikz@addtransform{\pgftransformyscale{#1}}}
+\tikzoption{yslant}{\tikz@addtransform{\pgftransformyslant{#1}}}
+\tikzoption{rotate}{\tikz@addtransform{\pgftransformrotate{#1}}}
+\tikzoption{rotate around}{\tikz@addtransform{\tikz@rotatearound{#1}}}
\def\tikz@rotatearound#1{%
\edef\tikz@temp{#1}% get rid of active stuff
\expandafter\tikz@rotateparseA\tikz@temp%
@@ -169,16 +194,16 @@
\pgf@process{#1}%
\pgf@xc=\pgf@x%
\pgf@yc=\pgf@y%
- \pgftransformshift{\pgfpoint{\pgf@xc}{\pgf@yc}}%
+ \pgftransformshift{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
\pgftransformrotate{\tikz@temp@rot}%
- \pgftransformshift{\pgfpoint{-\pgf@xc}{-\pgf@yc}}%
+ \pgftransformshift{\pgfqpoint{-\pgf@xc}{-\pgf@yc}}%
}
-\define@key{tikz}{shift}{\tikz@addtransform{\tikz@scan@one@point\pgftransformshift#1\relax}}
-\define@key{tikz}{xshift}{\tikz@addtransform{\pgftransformxshift{#1}}}
-\define@key{tikz}{yshift}{\tikz@addtransform{\pgftransformyshift{#1}}}
-\define@key{tikz}{cm}{\tikz@addtransform{\tikz@parse@cm#1\relax}}
-\define@key{tikz}{reset cm}{\tikz@addtransform{\pgftransformreset}}
+\tikzoption{shift}{\tikz@addtransform{\tikz@scan@one@point\pgftransformshift#1\relax}}
+\tikzoption{xshift}{\tikz@addtransform{\pgftransformxshift{#1}}}
+\tikzoption{yshift}{\tikz@addtransform{\pgftransformyshift{#1}}}
+\tikzoption{cm}{\tikz@addtransform{\tikz@parse@cm#1\relax}}
+\tikzoption{reset cm}{\tikz@addtransform{\pgftransformreset}}
\def\tikz@parse@cm#1,#2,#3,#4,{%
\def\tikz@p@cm{{#1}{#2}{#3}{#4}}%
@@ -190,9 +215,11 @@
% Grid options
-\define@key{tikz}{xstep}{\def\tikz@grid@x{#1}}
-\define@key{tikz}{ystep}{\def\tikz@grid@y{#1}}
-\define@key{tikz}{step}{\def\tikz@grid@x{#1}\def\tikz@grid@y{#1}}
+\tikzoption{xstep}{\def\tikz@grid@x{#1}}
+\tikzoption{ystep}{\def\tikz@grid@y{#1}}
+\tikzoption{step}{\tikz@handle@vec{\tikz@step@point}{\tikz@step@single}#1\relax}
+\def\tikz@step@single#1{\def\tikz@grid@x{#1}\def\tikz@grid@y{#1}}
+\def\tikz@step@point#1{\pgf@process{#1}\edef\tikz@grid@x{\the\pgf@x}\edef\tikz@grid@y{\the\pgf@y}}
\def\tikz@grid@x{1cm}
\def\tikz@grid@y{1cm}
@@ -205,18 +232,18 @@
\newif\iftikz@mode@clip
\newif\iftikz@mode@boundary
\newif\iftikz@mode@shade
-\let\tikz@mode=\@empty
+\let\tikz@mode=\pgf@empty
\def\tikz@nonetext{none}
-\define@key{tikz}{path only}[]{\let\tikz@mode=\@empty}
-\define@key{tikz}{shade}[]{\tikz@addmode{\tikz@mode@shadetrue}}
-\define@key{tikz}{fill}[]{%
+\tikzoption{path only}[]{\let\tikz@mode=\pgf@empty}
+\tikzoption{shade}[]{\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{fill}[]{%
\def\tikz@temp{#1}%
\ifx\tikz@temp\tikz@nonetext%
\tikz@addmode{\tikz@mode@fillfalse}%
\else%
- \ifx\tikz@temp\@empty%
+ \ifx\tikz@temp\pgf@empty%
\else%
\tikz@addoption{\pgfsetfillcolor{#1}}%
\def\tikz@fillcolor{#1}%
@@ -224,12 +251,12 @@
\tikz@addmode{\tikz@mode@filltrue}%
\fi%
}
-\define@key{tikz}{draw}[]{%
+\tikzoption{draw}[]{%
\def\tikz@temp{#1}%
\ifx\tikz@temp\tikz@nonetext%
\tikz@addmode{\tikz@mode@drawfalse}%
\else%
- \ifx\tikz@temp\@empty%
+ \ifx\tikz@temp\pgf@empty%
\else%
\tikz@addoption{\pgfsetstrokecolor{#1}}%
\def\tikz@strokecolor{#1}%
@@ -237,40 +264,59 @@
\tikz@addmode{\tikz@mode@drawtrue}%
\fi%
}
-\define@key{tikz}{clip}[]{\tikz@addmode{\tikz@mode@cliptrue}}
-\define@key{tikz}{use as bounding box}[]{\tikz@addmode{\tikz@mode@boundarytrue}}
+\tikzoption{clip}[]{\tikz@addmode{\tikz@mode@cliptrue}}
+\tikzoption{use as bounding box}[]{\tikz@addmode{\tikz@mode@boundarytrue}}
-\define@key{tikz}{save path}{\tikz@addmode{\pgfsyssoftpath@getcurrentpath#1\global\let#1=#1}}
+\tikzoption{save path}{\tikz@addmode{\pgfsyssoftpath@getcurrentpath#1\global\let#1=#1}}
-\let\tikz@fillcolor=\@empty
-\let\tikz@strokecolor=\@empty
+\let\tikz@fillcolor=\pgf@empty
+\let\tikz@strokecolor=\pgf@empty
+
+
+% Pattern options
+\tikzoption{pattern color}{\def\tikz@pattern@color{#1}}
+\tikzoption{pattern}[]{%
+ \def\tikz@temp{#1}%
+ \ifx\tikz@temp\tikz@nonetext%
+ \tikz@addmode{\tikz@mode@fillfalse}%
+ \else%
+ \ifx\tikz@temp\pgf@empty%
+ \else%
+ \tikz@addoption{\pgfsetfillpattern{#1}{\tikz@pattern@color}}%
+ \def\tikz@pattern{#1}%
+ \fi%
+ \tikz@addmode{\tikz@mode@filltrue}%
+ \fi%
+}
+\def\tikz@pattern@color{black}
+\def\tikz@pattern{dots}
% Shading options
-\define@key{tikz}{shading}{\def\tikz@shading{#1}\tikz@addmode{\tikz@mode@shadetrue}}
-\define@key{tikz}{shading angle}{\def\tikz@shade@angle{#1}\tikz@addmode{\tikz@mode@shadetrue}}
-\define@key{tikz}{top color}{%
+\tikzoption{shading}{\def\tikz@shading{#1}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{shading angle}{\def\tikz@shade@angle{#1}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{top color}{%
\colorlet{tikz@axis@top}{#1}%
\colorlet{tikz@axis@middle}{tikz@axis@top!50!tikz@axis@bottom}%
\def\tikz@shading{axis}\def\tikz@shade@angle{0}\tikz@addmode{\tikz@mode@shadetrue}}
-\define@key{tikz}{bottom color}{%
+\tikzoption{bottom color}{%
\colorlet{tikz@axis@bottom}{#1}%
\colorlet{tikz@axis@middle}{tikz@axis@top!50!tikz@axis@bottom}%
\def\tikz@shading{axis}\def\tikz@shade@angle{0}\tikz@addmode{\tikz@mode@shadetrue}}
-\define@key{tikz}{middle color}{%
+\tikzoption{middle color}{%
\colorlet{tikz@axis@middle}{#1}%
\def\tikz@shading{axis}\tikz@addmode{\tikz@mode@shadetrue}}
-\define@key{tikz}{left color}{%
+\tikzoption{left color}{%
\colorlet{tikz@axis@top}{#1}%
\colorlet{tikz@axis@middle}{tikz@axis@top!50!tikz@axis@bottom}%
\def\tikz@shading{axis}\def\tikz@shade@angle{90}\tikz@addmode{\tikz@mode@shadetrue}}
-\define@key{tikz}{right color}{%
+\tikzoption{right color}{%
\colorlet{tikz@axis@bottom}{#1}%
\colorlet{tikz@axis@middle}{tikz@axis@top!50!tikz@axis@bottom}%
\def\tikz@shading{axis}\def\tikz@shade@angle{90}\tikz@addmode{\tikz@mode@shadetrue}}
-\define@key{tikz}{ball color}{\colorlet{tikz@ball}{#1}\def\tikz@shading{ball}\tikz@addmode{\tikz@mode@shadetrue}}
-\define@key{tikz}{inner color}{\colorlet{tikz@radial@inner}{#1}\def\tikz@shading{radial}\tikz@addmode{\tikz@mode@shadetrue}}
-\define@key{tikz}{outer color}{\colorlet{tikz@radial@outer}{#1}\def\tikz@shading{radial}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{ball color}{\colorlet{tikz@ball}{#1}\def\tikz@shading{ball}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{inner color}{\colorlet{tikz@radial@inner}{#1}\def\tikz@shading{radial}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{outer color}{\colorlet{tikz@radial@outer}{#1}\def\tikz@shading{radial}\tikz@addmode{\tikz@mode@shadetrue}}
\def\tikz@shading{axis}
\def\tikz@shade@angle{0}
@@ -286,7 +332,7 @@
\colorlet{tikz@axis@middle}{gray!50!white}
\colorlet{tikz@axis@bottom}{white}
-\pgfdeclareradialshading[tikz@ball]{ball}{\pgfpoint{-10bp}{10bp}}{%
+\pgfdeclareradialshading[tikz@ball]{ball}{\pgfqpoint{-10bp}{10bp}}{%
color(0bp)=(tikz@ball!15!white);
color(9bp)=(tikz@ball!75!white);
color(18bp)=(tikz@ball!70!black);
@@ -304,46 +350,170 @@
\colorlet{tikz@radial@outer}{white}
+% Pin options
+\tikzoption{pin}{\pgf@ifnextchar[{\tikz@parse@pin}{\tikz@parse@pin[]}#1\pgf@nil}
+\tikzoption{pin distance}{\def\tikz@pin@distance{#1}}
+\tikzoption{pin edge}{\def\tikz@pin@edge@style{#1}}
+
+\tikzoption{tikz@pin@post}[]{%
+ \tikz@compute@direction{\tikz@label@angle}{\tikz@pin@distance}%
+ \global\let\tikz@pin@edge@style@smuggle=\tikz@pin@edge@style%
+}
+\tikzoption{tikz@pre@pin@edge}[]{\def\pgf@marshal{\tikzstyle{tikz@pin@options}=}
+ \expandafter\pgf@marshal\expandafter[\tikz@pin@edge@style@smuggle]%
+}
+
+\def\tikz@pin@distance{3ex}
+\def\tikz@pin@edge@style{}
+
+\def\tikz@parse@pin[#1]#2:#3\pgf@nil{%
+ \tikz@add@after@node@path{\bgroup
+ \pgfextra{\let\tikz@save@last@node=\tikzlastnode}%
+ node
+ [every pin,tikz@label@angle=#2,#1,at=(\tikzlastnode.\tikz@label@angle),%
+ after node path={(\tikz@save@last@node) edge[every pin edge,tikz@pre@pin@edge,tikz@pin@options] (\tikzlastnode)},
+ tikz@pin@post]
+ {#3} \egroup}
+}
+
+
+% Label and pin options
+
+\tikzoption{label}{\pgf@ifnextchar[{\tikz@parse@label}{\tikz@parse@label[]}#1\pgf@nil}
+\tikzoption{label distance}{\def\tikz@label@distance{#1}}
+
+\tikzoption{tikz@label@angle}{\def\tikz@label@angle{#1}\csname tikz@label@angle@is@#1\endcsname}
+
+\tikzoption{tikz@label@post}[]{\tikz@compute@direction{\tikz@label@angle}{\tikz@label@distance}}
+
+\def\tikz@label@distance{0pt}
+
+\def\tikz@parse@label[#1]#2:#3\pgf@nil{%
+ \tikz@add@after@node@path{
+ \bgroup
+ \pgfextra{\let\tikz@save@last@fig@name=\tikz@last@fig@name}%
+ node
+ [every label,%
+ tikz@label@angle=#2,%
+ #1,%
+ at=(\tikzlastnode.\tikz@label@angle),tikz@label@post]%
+ {#3}%
+ \pgfextra{\global\let\tikz@last@fig@name=\tikz@save@last@fig@name}%
+ \egroup%
+ }
+}
+
+\expandafter\def\csname tikz@label@angle@is@right\endcsname{\def\tikz@label@angle{0}}
+\expandafter\def\csname tikz@label@angle@is@above right\endcsname{\def\tikz@label@angle{45}}
+\expandafter\def\csname tikz@label@angle@is@above\endcsname{\def\tikz@label@angle{90}}
+\expandafter\def\csname tikz@label@angle@is@above left\endcsname{\def\tikz@label@angle{135}}
+\expandafter\def\csname tikz@label@angle@is@left\endcsname{\def\tikz@label@angle{180}}
+\expandafter\def\csname tikz@label@angle@is@below left\endcsname{\def\tikz@label@angle{225}}
+\expandafter\def\csname tikz@label@angle@is@below\endcsname{\def\tikz@label@angle{270}}
+\expandafter\def\csname tikz@label@angle@is@below right\endcsname{\def\tikz@label@angle{315}}
+
+\def\tikz@compute@direction#1#2{%
+ \let\tikz@do@auto@anchor=\relax
+ \c@pgf@counta=#1\relax%
+ \ifnum\c@pgf@counta<0\relax
+ \advance\c@pgf@counta by 360\relax%
+ \fi%
+ \ifnum\c@pgf@counta>359\relax
+ \advance\c@pgf@counta by-360\relax%
+ \fi%
+ \ifnum\c@pgf@counta<4\relax%
+ \def\tikz@anchor{west}%
+ \else\ifnum\c@pgf@counta<87\relax%
+ \def\tikz@anchor{south west}%
+ \else\ifnum\c@pgf@counta<94\relax%
+ \def\tikz@anchor{south}%
+ \else\ifnum\c@pgf@counta<177\relax%
+ \def\tikz@anchor{south east}%
+ \else\ifnum\c@pgf@counta<184\relax%
+ \def\tikz@anchor{east}%
+ \else\ifnum\c@pgf@counta<267\relax%
+ \def\tikz@anchor{north east}%
+ \else\ifnum\c@pgf@counta<274\relax%
+ \def\tikz@anchor{north}%
+ \else\ifnum\c@pgf@counta<357\relax%
+ \def\tikz@anchor{north west}%
+ \else%
+ \def\tikz@anchor{west}%
+ \fi\fi\fi\fi\fi\fi\fi\fi%
+ \tikz@addtransform{\pgftransformshift{\pgfpointpolar{#1}{#2}}}%
+}
% General shape options
-\define@key{tikz}{name}{\edef\tikz@fig@name{#1}}
+\tikzoption{name}{\edef\tikz@fig@name{#1}}
+
+\tikzoption{at}{\tikz@scan@one@point\tikz@set@at#1}
+\def\tikz@set@at#1{\def\tikz@node@at{#1}}%
-\define@key{tikz}{shape}{\edef\tikz@shape{#1}}
+\tikzoption{shape}{\edef\tikz@shape{#1}}
-\define@key{tikz}{inner sep}{\def\pgfshapeinnerxsep{#1}\def\pgfshapeinnerysep{#1}}
-\define@key{tikz}{inner xsep}{\def\pgfshapeinnerxsep{#1}}
-\define@key{tikz}{inner ysep}{\def\pgfshapeinnerysep{#1}}
+\tikzoption{inner sep}{\def\pgfshapeinnerxsep{#1}\def\pgfshapeinnerysep{#1}}
+\tikzoption{inner xsep}{\def\pgfshapeinnerxsep{#1}}
+\tikzoption{inner ysep}{\def\pgfshapeinnerysep{#1}}
-\define@key{tikz}{outer sep}{\def\pgfshapeouterxsep{#1}\def\pgfshapeouterysep{#1}}
-\define@key{tikz}{outer xsep}{\def\pgfshapeouterxsep{#1}}
-\define@key{tikz}{outer ysep}{\def\pgfshapeouterysep{#1}}
+\tikzoption{outer sep}{\def\pgfshapeouterxsep{#1}\def\pgfshapeouterysep{#1}}
+\tikzoption{outer xsep}{\def\pgfshapeouterxsep{#1}}
+\tikzoption{outer ysep}{\def\pgfshapeouterysep{#1}}
-\define@key{tikz}{minimum width}{\def\pgfshapeminwidth{#1}}
-\define@key{tikz}{minimum height}{\def\pgfshapeminheight{#1}}
-\define@key{tikz}{minimum size}{\def\pgfshapeminwidth{#1}\def\pgfshapeminheight{#1}}
+\tikzoption{minimum width}{\def\pgfshapeminwidth{#1}}
+\tikzoption{minimum height}{\def\pgfshapeminheight{#1}}
+\tikzoption{minimum size}{\def\pgfshapeminwidth{#1}\def\pgfshapeminheight{#1}}
-\define@key{tikz}{anchor}{\def\tikz@anchor{#1}}
+\tikzoption{aspect}{\pgfsetshapeaspect{#1}}
-\define@key{tikz}{left}[]{\def\tikz@anchor{east}\tikz@possibly@transform{x}{-}{#1}}
-\define@key{tikz}{right}[]{\def\tikz@anchor{west}\tikz@possibly@transform{x}{}{#1}}
-\define@key{tikz}{above}[]{\def\tikz@anchor{south}\tikz@possibly@transform{y}{}{#1}}
-\define@key{tikz}{below}[]{\def\tikz@anchor{north}\tikz@possibly@transform{y}{-}{#1}}
-\define@key{tikz}{above left}[]%
+\tikzoption{after node path}{\tikz@add@after@node@path{#1}}%
+\def\tikz@add@after@node@path#1{\expandafter\def\expandafter\tikz@after@node\expandafter{\tikz@after@node#1}}
+
+\def\tikzaddafternodepathoption#1{%
+ #1%
+ \expandafter\def\expandafter\tikz@afternodepathoptions\expandafter{\tikz@afternodepathoptions#1}}
+
+\let\tikz@afternodepathoptions=\pgf@empty
+
+\tikzoption{anchor}{\def\tikz@anchor{#1}\let\tikz@do@auto@anchor=\relax}
+
+\tikzoption{left}[]{\def\tikz@anchor{east}\tikz@possibly@transform{x}{-}{#1}}
+\tikzoption{right}[]{\def\tikz@anchor{west}\tikz@possibly@transform{x}{}{#1}}
+\tikzoption{above}[]{\def\tikz@anchor{south}\tikz@possibly@transform{y}{}{#1}}
+\tikzoption{below}[]{\def\tikz@anchor{north}\tikz@possibly@transform{y}{-}{#1}}
+\tikzoption{above left}[]%
{\def\tikz@anchor{south east}%
\tikz@possibly@transform{x}{-}{#1}\tikz@possibly@transform{y}{}{#1}}
-\define@key{tikz}{above right}[]%
+\tikzoption{above right}[]%
{\def\tikz@anchor{south west}%
\tikz@possibly@transform{x}{}{#1}\tikz@possibly@transform{y}{}{#1}}
-\define@key{tikz}{below left}[]%
+\tikzoption{below left}[]%
{\def\tikz@anchor{north east}%
\tikz@possibly@transform{x}{-}{#1}\tikz@possibly@transform{y}{-}{#1}}
-\define@key{tikz}{below right}[]%
+\tikzoption{below right}[]%
{\def\tikz@anchor{north west}%
\tikz@possibly@transform{x}{}{#1}\tikz@possibly@transform{y}{-}{#1}}
-\define@key{tikz}{transform shape}[true]{%
+\tikzoption{node distance}{\def\tikz@node@distance{#1}}
+\def\tikz@node@distance{1cm}
+
+\tikzoption{above of}{\tikz@of{#1}{90}}%
+\tikzoption{below of}{\tikz@of{#1}{-90}}%
+\tikzoption{left of}{\tikz@of{#1}{180}}%
+\tikzoption{right of}{\tikz@of{#1}{0}}%
+\tikzoption{above left of}{\tikz@of{#1}{135}}%
+\tikzoption{below left of}{\tikz@of{#1}{-135}}%
+\tikzoption{above right of}{\tikz@of{#1}{45}}%
+\tikzoption{below right of}{\tikz@of{#1}{-45}}%
+
+\def\tikz@of#1#2{%
+ \def\tikz@anchor{center}%
+ \let\tikz@do@auto@anchor=\relax%
+ \tikz@addtransform{\pgftransformshift{\pgfpointpolar{#2}{\tikz@node@distance}}}%
+ \def\tikz@node@at{\pgfpointanchor{#1}{center}}}
+
+\tikzoption{transform shape}[true]{%
\csname tikz@fullytransformed#1\endcsname%
\iftikz@fullytransformed%
\pgfresetnontranslationattimefalse%
@@ -359,8 +529,9 @@
\def\tikz@shape{rectangle}%
\def\tikz@possibly@transform#1#2#3{%
+ \let\tikz@do@auto@anchor=\relax%
\def\tikz@test{#3}%
- \ifx\tikz@test\@empty%
+ \ifx\tikz@test\pgf@empty%
\else%
\setlength{\pgf@x}{#3}%
\pgf@x=#2\pgf@x\relax%
@@ -371,45 +542,78 @@
}
+% Inter-picture options
+\tikzoption{remember picture}[true]{\csname pgfrememberpicturepositiononpage#1\endcsname}
+\tikzoption{overlay}[]{\pgf@relevantforpicturesizefalse}
+
+
+
% Line/curve label placement options
-\define@key{tikz}{sloped}[true]{\csname pgfslopedattime#1\endcsname}
+\tikzoption{sloped}[true]{\csname pgfslopedattime#1\endcsname}
+\tikzoption{allow upside down}[true]{\csname pgfallowupsidedownattime#1\endcsname}
-\define@key{tikz}{pos}{\edef\tikz@time{#1}}
+\tikzoption{pos}{\edef\tikz@time{#1}}
+
+\tikzoption{auto}[]{\csname tikz@install@auto@anchor@#1\endcsname}
+\tikzoption{swap}[]{%
+ \def\tikz@temp{left}%
+ \ifx\tikz@auto@anchor@direction\tikz@temp%
+ \def\tikz@auto@anchor@direction{right}%
+ \else%
+ \def\tikz@auto@anchor@direction{left}%
+ \fi%
+}
\def\tikz@time{.5}
+\def\tikz@install@auto@anchor@{\let\tikz@do@auto@anchor=\tikz@auto@anchor@on}
+\def\tikz@install@auto@anchor@false{\let\tikz@do@auto@anchor=\relax}
+\def\tikz@install@auto@anchor@left{\let\tikz@do@auto@anchor=\tikz@auto@anchor@on\def\tikz@auto@anchor@direction{left}}
+\def\tikz@install@auto@anchor@right{\let\tikz@do@auto@anchor=\tikz@auto@anchor@on\def\tikz@auto@anchor@direction{right}}
+\let\tikz@do@auto@anchor=\relax%
+
+\def\tikz@auto@anchor@on{\csname tikz@auto@anchor@\tikz@auto@anchor@direction\endcsname}
+
+\def\tikz@auto@anchor@left{\tikz@auto@pre\tikz@auto@anchor\tikz@auto@post}
+\def\tikz@auto@anchor@right{\tikz@auto@pre\tikz@auto@anchor@prime\tikz@auto@post}
+
+\def\tikz@auto@anchor@direction{left}
% Text options
-\define@key{tikz}{text}{\def\tikz@textcolor{#1}}
-\define@key{tikz}{font}{\def\tikz@textfont{#1}}
-\define@key{tikz}{text opacity}{\def\tikz@textopacity{#1}}
-\define@key{tikz}{text width}{\def\tikz@text@width{#1}}
-\define@key{tikz}{text ragged}[]%
+\tikzoption{text}{\def\tikz@textcolor{#1}}
+\tikzoption{font}{\def\tikz@textfont{#1}}
+\tikzoption{text opacity}{\def\tikz@textopacity{#1}}
+\tikzoption{text width}{\def\tikz@text@width{#1}}
+\tikzoption{text height}{\def\tikz@text@height{#1}}
+\tikzoption{text depth}{\def\tikz@text@depth{#1}}
+\tikzoption{text ragged}[]%
{\def\tikz@text@action{\raggedright\rightskip\z@ plus2em \spaceskip.3333em \xspaceskip.5em\relax}}
-\define@key{tikz}{text badly ragged}[]{\def\tikz@text@action{\raggedright\relax}}
-\define@key{tikz}{text ragged left}[]%
+\tikzoption{text badly ragged}[]{\def\tikz@text@action{\raggedright\relax}}
+\tikzoption{text ragged left}[]%
{\def\tikz@text@action{\raggedleft\leftskip\z@ plus2em \spaceskip.3333em \xspaceskip.5em\relax}}
-\define@key{tikz}{text badly ragged left}[]{\def\tikz@text@action{\raggedleft\relax}}
-\define@key{tikz}{text justified}[]{\def\tikz@text@action{\leftskip\z@\rightskip\z@\relax}}
-\define@key{tikz}{text centered}[]{\def\tikz@text@action{%
+\tikzoption{text badly ragged left}[]{\def\tikz@text@action{\raggedleft\relax}}
+\tikzoption{text justified}[]{\def\tikz@text@action{\leftskip\z@\rightskip\z@\relax}}
+\tikzoption{text centered}[]{\def\tikz@text@action{%
\leftskip\z@ plus2em%
\rightskip\z@ plus2em%
\spaceskip.3333em \xspaceskip.5em%
\parfillskip=0pt%
\let\\=\@centercr% for latex
\relax}}
-\define@key{tikz}{text badly centered}[]%
+\tikzoption{text badly centered}[]%
{\def\tikz@text@action{%
\let\\=\@centercr% for latex
\parfillskip=0pt%
\rightskip\@flushglue%
\leftskip\@flushglue\relax}}
-\let\tikz@text@width=\@empty
-\let\tikz@textcolor=\@empty
-\let\tikz@textfont=\@empty
-\let\tikz@textopacity=\@empty
+\let\tikz@text@width=\pgf@empty
+\let\tikz@text@height=\pgf@empty
+\let\tikz@text@depth=\pgf@empty
+\let\tikz@textcolor=\pgf@empty
+\let\tikz@textfont=\pgf@empty
+\let\tikz@textopacity=\pgf@empty
\def\tikz@text@action{\raggedright\rightskip\z@ plus2em \spaceskip.3333em \xspaceskip.5em\relax}
@@ -418,18 +622,18 @@
% Arrow options
-\define@key{tikz}{arrows}{\tikz@processarrows{#1}}
+\tikzoption{arrows}{\tikz@processarrows{#1}}
-\define@key{tikz}{>}{%
+\tikzoption{>}{%
\tikz@set@pointed{\csname pgf@arrows@invert#1\endcsname}{#1}%
\expandafter\tikz@processarrows\expandafter{\tikz@current@arrows}%
}
-\define@key{tikz}{shorten <}{\pgfsetshortenstart{#1}}
-\define@key{tikz}{shorten >}{\pgfsetshortenend{#1}}
+\tikzoption{shorten <}{\pgfsetshortenstart{#1}}
+\tikzoption{shorten >}{\pgfsetshortenend{#1}}
\def\tikz@set@pointed#1#2{%
- \@ifundefined{pgf@arrow@code@tikze@>@#2}
+ \pgf@ifundefined{pgf@arrow@code@tikze@>@#2}
{%
\pgfarrowsdeclarealias{tikzs@<@#2}{tikze@>@#2}{#1}{#2}%
\pgfarrowsdeclarereversed{tikzs@>@#2}{tikze@<@#2}{#1}{#2}%
@@ -437,22 +641,22 @@
\pgfarrowsdeclaredouble[\pgflinewidth]{tikzs@<<@#2}{tikze@>>@#2}{#1}{#2}%
\pgfarrowsdeclarereversed{tikzs@>>@#2}{tikze@<<@#2}{tikzs@<<@#2}{tikze@>>@#2}%
}{}%
- \@namedef{tikz@special@arrow@start<}{tikzs@<@#2}%
- \@namedef{tikz@special@arrow@end>}{tikze@>@#2}%
- \@namedef{tikz@special@arrow@start>}{tikzs@>@#2}%
- \@namedef{tikz@special@arrow@end<}{tikze@<@#2}%
- \@namedef{tikz@special@arrow@start|<}{tikz@|<@#2}%
- \@namedef{tikz@special@arrow@end>|}{tikz@>|@#2}%
- \@namedef{tikz@special@arrow@start<<}{tikzs@<<@#2}%
- \@namedef{tikz@special@arrow@end>>}{tikze@>>@#2}%
- \@namedef{tikz@special@arrow@start>>}{tikzs@<<@#2}%
- \@namedef{tikz@special@arrow@end<<}{tikze@>>@#2}%
+ \pgf@namedef{tikz@special@arrow@start<}{tikzs@<@#2}%
+ \pgf@namedef{tikz@special@arrow@end>}{tikze@>@#2}%
+ \pgf@namedef{tikz@special@arrow@start>}{tikzs@>@#2}%
+ \pgf@namedef{tikz@special@arrow@end<}{tikze@<@#2}%
+ \pgf@namedef{tikz@special@arrow@start|<}{tikz@|<@#2}%
+ \pgf@namedef{tikz@special@arrow@end>|}{tikz@>|@#2}%
+ \pgf@namedef{tikz@special@arrow@start<<}{tikzs@<<@#2}%
+ \pgf@namedef{tikz@special@arrow@end>>}{tikze@>>@#2}%
+ \pgf@namedef{tikz@special@arrow@start>>}{tikzs@<<@#2}%
+ \pgf@namedef{tikz@special@arrow@end<<}{tikze@>>@#2}%
}
\def\tikz@processarrows#1{%
\def\tikz@current@arrows{#1}%
\def\tikz@temp{#1}%
- \ifx\tikz@temp\@empty%
+ \ifx\tikz@temp\pgf@empty%
\else%
\tikz@@processarrows#1\@nil
\fi%
@@ -474,9 +678,9 @@
\def\tikz@current@arrows{-}
% Parabola options
-\define@key{tikz}{bend}{\tikz@scan@one@point\tikz@set@parabola@bend#1\relax}%
-\define@key{tikz}{bend pos}{\def\tikz@parabola@bend@factor{#1}}
-\define@key{tikz}{parabola height}{%
+\tikzoption{bend}{\tikz@scan@one@point\tikz@set@parabola@bend#1\relax}%
+\tikzoption{bend pos}{\def\tikz@parabola@bend@factor{#1}}
+\tikzoption{parabola height}{%
\def\tikz@parabola@bend@factor{.5}%
\def\tikz@parabola@bend{\pgfpointadd{\pgfpoint{0pt}{#1}}{\tikz@last@position@saved}}}
@@ -486,37 +690,43 @@
\def\tikz@set@parabola@bend#1{\def\tikz@parabola@bend{#1}}
% Axis options
-\define@key{tikz}{domain}{\def\tikz@plot@domain{#1}}
-\define@key{tikz}{range}{\def\tikz@plot@range{#1}}
+\tikzoption{domain}{\def\tikz@plot@domain{#1}}
+\tikzoption{range}{\def\tikz@plot@range{#1}}
% Plot options
-\define@key{tikz}{smooth}[]{\let\tikz@plot@handler=\pgfplothandlercurveto}
-\define@key{tikz}{smooth cycle}[]{\let\tikz@plot@handler=\pgfplothandlerclosedcurve}
-\define@key{tikz}{sharp plot}[]{\let\tikz@plot@handler\pgfplothandlerlineto}
+\tikzoption{smooth}[]{\let\tikz@plot@handler=\pgfplothandlercurveto}
+\tikzoption{smooth cycle}[]{\let\tikz@plot@handler=\pgfplothandlerclosedcurve}
+\tikzoption{sharp plot}[]{\let\tikz@plot@handler\pgfplothandlerlineto}
+
+\tikzoption{tension}{\pgfsetplottension{#1}}
-\define@key{tikz}{tension}{\pgfsetplottension{#1}}
+\tikzoption{xcomb}[]{\let\tikz@plot@handler=\pgfplothandlerxcomb}
+\tikzoption{ycomb}[]{\let\tikz@plot@handler=\pgfplothandlerycomb}
+\tikzoption{polar comb}[]{\let\tikz@plot@handler=\pgfplothandlerpolarcomb}
-\define@key{tikz}{xcomb}[]{\let\tikz@plot@handler=\pgfplothandlerxcomb}
-\define@key{tikz}{ycomb}[]{\let\tikz@plot@handler=\pgfplothandlerycomb}
-\define@key{tikz}{polar comb}[]{\let\tikz@plot@handler=\pgfplothandlerpolarcomb}
+\tikzoption{raw gnuplot}[true]{\csname tikz@plot@raw@gnuplot#1\endcsname}
+\tikzoption{prefix}{\def\tikz@plot@prefix{#1}}
+\tikzoption{id}{\def\tikz@plot@id{#1}}
-\define@key{tikz}{raw gnuplot}[true]{\csname tikz@plot@raw@gnuplot#1\endcsname}
-\define@key{tikz}{prefix}{\def\tikz@plot@prefix{#1}}
-\define@key{tikz}{id}{\def\tikz@plot@id{#1}}
+\tikzoption{samples}{\def\tikz@plot@sampels{#1}}
+\tikzoption{parametric}[true]{\csname tikz@plot@parametric#1\endcsname}
-\define@key{tikz}{samples}{\def\tikz@plot@sampels{#1}}
-\define@key{tikz}{parametric}[true]{\csname tikz@plot@parametric#1\endcsname}
+\tikzoption{only marks}[]{\let\tikz@plot@handler\pgfplothandlerdiscard}
-\define@key{tikz}{only marks}[]{\let\tikz@plot@handler\pgfplothandlerdiscard}
+\tikzoption{mark}{\def\tikz@plot@mark{#1}}
+\tikzoption{mark options}{\def\tikz@plot@mark@options{#1}}
+\tikzoption{mark size}{\pgfsetplotmarksize{#1}}
-\define@key{tikz}{mark}{\def\tikz@plot@mark{#1}}
-\define@key{tikz}{mark options}{\def\tikz@plot@mark@options{#1}}
-\define@key{tikz}{mark size}{\pgfsetplotmarksize{#1}}
+\tikzoption{mark indices}{\def\tikz@mark@list{#1}}
+\tikzoption{mark phase}{\pgfsetplotmarkphase{#1}}
+\tikzoption{mark repeat}{\pgfsetplotmarkrepeat{#1}}
-\let\tikz@plot@mark@options=\@empty
+\let\tikz@mark@list=\pgf@empty
+
+\let\tikz@plot@mark@options=\pgf@empty
\let\tikz@plot@handler=\pgfplothandlerlineto
-\let\tikz@plot@mark=\@empty
+\let\tikz@plot@mark=\pgf@empty
\def\tikz@plot@sampels{25}
\def\tikz@plot@domain{-5:5}
@@ -528,18 +738,25 @@
\newif\iftikz@plot@raw@gnuplot
+% To options
+\tikzoption{to path}{\def\tikz@to@path{#1}}
+
+\def\tikz@to@path{-- (\tikztotarget) \tikztonodes}
+
+
+
% Tree options
-\define@key{tikz}{edge from parent path}{\def\tikz@edge@to@parent@path{#1}}
+\tikzoption{edge from parent path}{\def\tikz@edge@to@parent@path{#1}}
-\define@key{tikz}{parent anchor}{\def\tikzparentanchor{.#1}\ifx\tikzparentanchor\tikz@border@text\let\tikzparentanchor\@empty\fi}
-\define@key{tikz}{child anchor}{\def\tikzchildanchor{.#1}\ifx\tikzchildanchor\tikz@border@text\let\tikzchildanchor\@empty\fi}
+\tikzoption{parent anchor}{\def\tikzparentanchor{.#1}\ifx\tikzparentanchor\tikz@border@text\let\tikzparentanchor\pgf@empty\fi}
+\tikzoption{child anchor}{\def\tikzchildanchor{.#1}\ifx\tikzchildanchor\tikz@border@text\let\tikzchildanchor\pgf@empty\fi}
-\define@key{tikz}{level distance}{\setlength\tikzleveldistance{#1}}
-\define@key{tikz}{sibling distance}{\setlength\tikzsiblingdistance{#1}}
+\tikzoption{level distance}{\setlength\tikzleveldistance{#1}}
+\tikzoption{sibling distance}{\setlength\tikzsiblingdistance{#1}}
-\define@key{tikz}{growth function}{\let\tikz@grow=#1}
-\define@key{tikz}{grow}{\tikz@set@growth{#1}\edef\tikz@special@level{\the\tikztreelevel}}%
-\define@key{tikz}{grow'}{\tikz@set@growth{#1}\tikz@swap@growth\edef\tikz@special@level{\the\tikztreelevel}}%
+\tikzoption{growth function}{\let\tikz@grow=#1}
+\tikzoption{grow}{\tikz@set@growth{#1}\edef\tikz@special@level{\the\tikztreelevel}}%
+\tikzoption{grow'}{\tikz@set@growth{#1}\tikz@swap@growth\edef\tikz@special@level{\the\tikztreelevel}}%
\def\tikz@special@level{-1}% never
@@ -566,8 +783,8 @@
}
\def\tikz@border@text{.border}
-\let\tikzparentanchor=\@empty
-\let\tikzchildanchor=\@empty
+\let\tikzparentanchor=\pgf@empty
+\let\tikzchildanchor=\pgf@empty
\def\tikz@edge@to@parent@path{(\tikzparentnode\tikzparentanchor) -- (\tikzchildnode\tikzchildanchor)}
\tikzleveldistance=15mm
@@ -601,15 +818,15 @@
\fi%
}
-\setkeys{tikz}{grow=down}
+\tikz@orig@setkeys{tikz}{grow=down}
% Snake options
-\define@key{tikz}{snake}[]{%
+\tikzoption{snake}[]{%
\def\tikz@@snake{#1}%
- \ifx\tikz@@snake\@empty%
+ \ifx\tikz@@snake\pgf@empty%
\tikz@snakedtrue%
\else%
\ifx\tikz@@snake\tikz@nonetext%
@@ -620,83 +837,97 @@
\fi%
\fi}
-\define@key{tikz}{segment amplitude}{\setlength{\pgfsnakesegmentamplitude}{#1}}
-\define@key{tikz}{segment length}{\setlength{\pgfsnakesegmentlength}{#1}}
-\define@key{tikz}{segment angle}{\def\pgfsnakesegmentangle{#1}}
-\define@key{tikz}{segment aspect}{\def\pgfsnakesegmentaspect{#1}}
+\tikzoption{segment amplitude}{\setlength{\pgfsnakesegmentamplitude}{#1}}
+\tikzoption{segment length}{\setlength{\pgfsnakesegmentlength}{#1}}
+\tikzoption{segment angle}{\def\pgfsnakesegmentangle{#1}}
+\tikzoption{segment aspect}{\def\pgfsnakesegmentaspect{#1}}
-\define@key{tikz}{segment object length}{\def\pgfsnakesegmentobjectlength{#1}}
+\tikzoption{segment object length}{\def\pgfsnakesegmentobjectlength{#1}}
-\define@key{tikz}{raise snake}{\def\pgf@snake@raise{\pgftransformyshift{#1}}}
-\define@key{tikz}{mirror snake}[true]{%
+\tikzoption{raise snake}{\def\pgf@snake@raise{\pgftransformyshift{#1}}}
+\tikzoption{mirror snake}[true]{%
\csname if#1\endcsname
\def\pgf@snake@mirror{\pgftransformyscale{-1}}%
\else%
- \let\pgf@snake@mirror=\@empty%
+ \let\pgf@snake@mirror=\pgf@empty%
\fi
}
-\define@key{tikz}{gap before snake}{\def\tikz@presnake{{moveto}{#1}}}
-\define@key{tikz}{line before snake}{\def\tikz@presnake{{lineto}{#1}}}
+\tikzoption{gap before snake}{\def\tikz@presnake{{moveto}{#1}}}
+\tikzoption{line before snake}{\def\tikz@presnake{{lineto}{#1}}}
-\define@key{tikz}{gap after snake}{\def\tikz@postsnake{{moveto}{#1}}\def\tikz@mainsnakelength{\pgfsnakeremainingdistance-#1}}
-\define@key{tikz}{line after snake}{\def\tikz@postsnake{{lineto}{#1}}\def\tikz@mainsnakelength{\pgfsnakeremainingdistance-#1}}
+\tikzoption{gap after snake}{\def\tikz@postsnake{{moveto}{#1}}\def\tikz@mainsnakelength{\pgfsnakeremainingdistance-#1}}
+\tikzoption{line after snake}{\def\tikz@postsnake{{lineto}{#1}}\def\tikz@mainsnakelength{\pgfsnakeremainingdistance-#1}}
-\define@key{tikz}{gap around snake}{%
+\tikzoption{gap around snake}{%
\def\tikz@presnake{{moveto}{#1}}%
\def\tikz@postsnake{{moveto}{#1}}%
\def\tikz@mainsnakelength{\pgfsnakeremainingdistance-#1}%
}
-\define@key{tikz}{line around snake}{%
+\tikzoption{line around snake}{%
\def\tikz@presnake{{lineto}{#1}}%
\def\tikz@postsnake{{lineto}{#1}}%
\def\tikz@mainsnakelength{\pgfsnakeremainingdistance-#1}%
}
-\let\pgf@snake@mirror=\@empty
-\let\pgf@snake@raise=\@empty
+\let\pgf@snake@mirror=\pgf@empty
+\let\pgf@snake@raise=\pgf@empty
\pgfsetsnakesegmenttransformation{\pgf@snake@mirror\pgf@snake@raise}
\def\tikz@snake{zigzag}
-\let\tikz@presnake=\@empty
-\let\tikz@postsnake=\@empty
+\let\tikz@presnake=\pgf@empty
+\let\tikz@postsnake=\pgf@empty
\def\tikz@mainsnakelength{\pgfsnakeremainingdistance}
% Execute option
-\define@key{tikz}{execute at begin picture}{\expandafter\def\expandafter\tikz@atbegin@picture\expandafter{\tikz@atbegin@picture#1}}
-\define@key{tikz}{execute at end picture}{\expandafter\def\expandafter\tikz@atend@picture\expandafter{\tikz@atend@picture#1}}
-\define@key{tikz}{execute at begin scope}{\expandafter\def\expandafter\tikz@atbegin@scope\expandafter{\tikz@atbegin@scope#1}}
-\define@key{tikz}{execute at end scope}{\expandafter\def\expandafter\tikz@atend@scope\expandafter{\tikz@atend@scope#1}}
+\tikzoption{execute at begin picture}{\expandafter\def\expandafter\tikz@atbegin@picture\expandafter{\tikz@atbegin@picture#1}}
+\tikzoption{execute at end picture}{\expandafter\def\expandafter\tikz@atend@picture\expandafter{\tikz@atend@picture#1}}
+\tikzoption{execute at begin scope}{\expandafter\def\expandafter\tikz@atbegin@scope\expandafter{\tikz@atbegin@scope#1}}
+\tikzoption{execute at end scope}{\expandafter\def\expandafter\tikz@atend@scope\expandafter{\tikz@atend@scope#1}}
+\tikzoption{execute at begin to}{\expandafter\def\expandafter\tikz@atbegin@to\expandafter{\tikz@atbegin@to#1}}
+\tikzoption{execute at end to}{\expandafter\def\expandafter\tikz@atend@to\expandafter{\tikz@atend@to#1}}
+\tikzoption{execute at begin node}{\expandafter\def\expandafter\tikz@atbegin@node\expandafter{\tikz@atbegin@node#1}}
+\tikzoption{execute at end node}{\expandafter\def\expandafter\tikz@atend@node\expandafter{\tikz@atend@node#1}}
-\let\tikz@atbegin@picture=\@empty
-\let\tikz@atend@picture=\@empty
-\let\tikz@atbegin@scope=\@empty
-\let\tikz@atend@scope=\@empty
+\let\tikz@atbegin@picture=\pgf@empty
+\let\tikz@atend@picture=\pgf@empty
+\let\tikz@atbegin@scope=\pgf@empty
+\let\tikz@atend@scope=\pgf@empty
+\let\tikz@atbegin@to=\pgf@empty
+\let\tikz@atend@to=\pgf@empty
+\let\tikz@atbegin@node=\pgf@empty
+\let\tikz@atend@node=\pgf@empty
% Styles
-\define@key{tikz}{set style}{\tikzstyle#1}
+\tikzoption{set style}{\tikzstyle#1}
% Handled in a special way.
-\def\tikzstyle#1=#2[#3]{% #2 is dummy
- \in@+{#1}%
+\def\tikzstyle#1#2=#3[#4]{% #2 and #3 are dummy
+ \in@+{#2}%
\ifin@%
- \tikz@style#1{#3}%
+ \tikz@style{#1}{#4}%
\else%
- \expandafter\def\csname tikz@st@#1\endcsname{#3}%
+ \expandafter\def\csname tikz@st@#1\endcsname{#4}%
\fi}
-\def\tikz@style#1+#2{%
- \edef\tikz@marshal{\def\expandafter\noexpand\csname tikz@st@#1\endcsname}%
- \expandafter\expandafter\expandafter\tikz@marshal\expandafter\expandafter\expandafter{\csname tikz@st@#1\endcsname,#2}}
+\def\tikz@style#1#2{%
+ \iftikzstyleempty{#1}
+ {\expandafter\def\csname tikz@st@#1\endcsname{#2}}%
+ {%
+ \edef\tikz@marshal{\def\expandafter\noexpand\csname tikz@st@#1\endcsname}%
+ \expandafter\expandafter\expandafter\tikz@marshal\expandafter\expandafter\expandafter{\csname
+ tikz@st@#1\endcsname,#2}%
+ }%
+}
\def\iftikzstyleempty#1#2#3{%
- \expandafter\ifx\csname tikz@st@#1\endcsname\@empty%
+ \expandafter\ifx\csname tikz@st@#1\endcsname\pgf@empty%
\let\pgf@next=\@firstoftwo%
\else%
\expandafter\ifx\csname tikz@st@#1\endcsname\relax%
@@ -708,7 +939,6 @@
\pgf@next{#2}{#3}}
-
%
%
% Predefined styles
@@ -724,6 +954,11 @@
\tikzstyle{every node}= []
\tikzstyle{every child}= []
\tikzstyle{every child node}= []
+\tikzstyle{every to}= []
+\tikzstyle{every edge}= [draw]
+\tikzstyle{every label}= [draw=none,fill=none]
+\tikzstyle{every pin}= [draw=none,fill=none]
+\tikzstyle{every pin edge}= [help lines]
\tikzstyle{ultra thin}= [line width=0.1pt]
\tikzstyle{very thin}= [line width=0.2pt]
@@ -773,11 +1008,11 @@
% Setting keys
%
-\let\tikz@late@keys=\@empty%
+\let\tikz@late@keys=\pgf@empty%
\def\tikz@set@one@key#1{%
- \setkeys*{tikz}{#1}%
- \ifx\XKV@rm\@empty%
+ \tikz@orig@setkeys*{tikz}{#1}%
+ \ifx\XKV@rm\pgf@empty%
% fine
\else%
\expandafter\in@\expandafter!\expandafter{\XKV@rm}%
@@ -813,11 +1048,11 @@
\def\tikz@@setkeys#1,#2\pgf@stop{%
\def\tikz@key@test{#1}%
\def\tikz@key@rest{#2}%
- \ifx\tikz@key@test\@empty%
+ \ifx\tikz@key@test\pgf@empty%
\else%
- \@ifnextchar s{\tikz@parse@key}{\tikz@parse@key}#1==\pgf@stop%
+ \pgf@ifnextchar s{\tikz@parse@key}{\tikz@parse@key}#1==\pgf@stop%
\fi%
- \ifx\tikz@key@rest\@empty%
+ \ifx\tikz@key@rest\pgf@empty%
\else%
\expandafter\expandafter\expandafter\tikz@@setkeys\expandafter\tikz@key@rest\expandafter\pgf@stop%
\fi%
@@ -829,7 +1064,7 @@
\def\tikz@key@test{#1}%
\ifx\tikz@key@test\tikz@style@text%
% Ok, style!
- \@ifundefined{tikz@st@#2}%
+ \pgf@ifundefined{tikz@st@#2}%
{\PackageError{tikz}{Unknown style ``#2}''{}}
{%
\expandafter\let\expandafter\tikz@temp\expandafter=\csname tikz@st@#2\endcsname%
@@ -841,7 +1076,7 @@
\expandafter\ifx\csname tikz@st@#1\endcsname\relax%
% Ok, normal!
\def\tikz@test{#3}%
- \ifx\tikz@test\@empty%
+ \ifx\tikz@test\pgf@empty%
\tikz@set@one@key{#1}%
\else%
\tikz@set@one@key{#1={#2}}%
@@ -872,19 +1107,22 @@
% Main TikZ Environment
%
-\def\tikzpicture{\@ifnextchar[\tikz@picture{\tikz@picture[]}}%}
+\def\tikzpicture{\pgf@ifnextchar[\tikz@picture{\tikz@picture[]}}%}
\def\tikz@picture[#1]{%
\pgfpicture%
- \let\tikz@atbegin@picture=\@empty%
- \let\tikz@atend@picture=\@empty%
+ \let\tikz@atbegin@picture=\pgf@empty%
+ \let\tikz@atend@picture=\pgf@empty%
+ \let\tikz@transform=\relax%
\tikz@installcommands\scope[style=every picture,#1]%
\tikz@atbegin@picture%
}
\def\endtikzpicture{%
\tikz@atend@picture%
\global\let\pgf@shift@baseline=\pgf@baseline%
+ \global\let\pgf@remember@smuggle=\ifpgfrememberpicturepositiononpage%
\endscope%
\let\pgf@baseline=\pgf@shift@baseline%
+ \let\ifpgfrememberpicturepositiononpage=\pgf@remember@smuggle%
\endpgfpicture}
@@ -901,8 +1139,8 @@
% The rectangle \tikz{\draw (0,0) rectangle (1em,1ex)} has width 1em and
% height 1ex.
-\def\tikz{\@ifnextchar[{\tikz@opt}{\tikz@opt[]}}
-\def\tikz@opt[#1]{\@ifnextchar\bgroup{\tikz@[#1]}{\tikz@@[#1]}}
+\def\tikz{\pgf@ifnextchar[{\tikz@opt}{\tikz@opt[]}}
+\def\tikz@opt[#1]{\pgf@ifnextchar\bgroup{\tikz@[#1]}{\tikz@@[#1]}}
\def\tikz@[#1]#2{\tikzpicture[#1]#2\endtikzpicture}
\def\tikz@@{%
\let\tikz@next=\tikz@collectnormalsemicolon%
@@ -921,14 +1159,14 @@
%
% Environment for scoping graphic state settings
%
-\def\tikz@scope@env{\@ifnextchar[\tikz@@scope@env{\tikz@@scope@env[]}}
+\def\tikz@scope@env{\pgf@ifnextchar[\tikz@@scope@env{\tikz@@scope@env[]}}
\def\tikz@@scope@env[#1]{%
\pgfscope%
\begingroup%
- \let\tikz@atbegin@scope=\@empty%
- \let\tikz@atend@scope=\@empty%
- \let\tikz@options=\@empty%
- \let\tikz@mode=\@empty%
+ \let\tikz@atbegin@scope=\pgf@empty%
+ \let\tikz@atend@scope=\pgf@empty%
+ \let\tikz@options=\pgf@empty%
+ \let\tikz@mode=\pgf@empty%
\tikz@every@style{every scope}%
\tikz@setkeys{#1}%
\tikz@options%
@@ -950,9 +1188,12 @@
\ifnum\the\catcode`\|=\active\relax\expandafter\let\expandafter\tikz@origbar\expandafter=\tikz@activebar\fi%
\let\tikz@origscope=\scope%
\let\tikz@origendscope=\endscope%
+ \let\tikz@origstartscope=\startscope%
+ \let\tikz@origstopscope=\stopscope%
\let\tikz@origpath=\path%
\let\tikz@origagainpath=\againpath%
\let\tikz@origdraw=\draw%
+ \let\tikz@origpattern=\pattern%
\let\tikz@origfill=\fill%
\let\tikz@origfilldraw=\filldraw%
\let\tikz@origshade=\shade%
@@ -960,16 +1201,19 @@
\let\tikz@origclip=\clip%
\let\tikz@origuseasboundingbox=\useasboundingbox%
\let\tikz@orignode=\node%
- \let\tikz@orignode=\coordiante%
+ \let\tikz@origcoordinate=\coordinate%
%
\tikz@deactivatthings%
%
\let\scope=\tikz@scope@env%
\let\endscope=\endtikz@scope@env%
+ \let\startscope=\scope%
+ \let\stopscope=\endscope%
\let\path=\tikz@command@path%
\let\againpath=\tikz@command@againpath%
%
\def\draw{\path[draw]}
+ \def\pattern{\path[pattern]}
\def\fill{\path[fill]}
\def\filldraw{\path[fill,draw]}
\def\shade{\path[shade]}
@@ -986,9 +1230,12 @@
\ifnum\the\catcode`\|=\active\relax\expandafter\let\tikz@activebar=\tikz@origbar\fi%
\let\scope=\tikz@origscope%
\let\endscope=\tikz@origendscope%
+ \let\startscope=\tikz@origstartscope%
+ \let\stopscope=\tikz@origstopscope%
\let\path=\tikz@origpath%
\let\againpath=\tikz@origagainpath%
\let\draw=\tikz@origdraw%
+ \let\pattern=\tikz@origpattern%
\let\fill=\tikz@origfill%
\let\filldraw=\tikz@origfilldraw%
\let\shade=\tikz@origshade%
@@ -996,6 +1243,7 @@
\let\clip=\tikz@origclip%
\let\useasboundingbox=\tikz@origuseasboundingbox%
\let\node=\tikz@orignode%
+ \let\coordinate=\tikz@origcoordinate%
}
@@ -1029,10 +1277,10 @@
% settings.
\def\tikz@command@path{%
- \@ifnextchar[{\tikz@check@earg}%]
- {\@ifnextchar<{\tikz@doopt}{\tikz@@command@path}}}
+ \pgf@ifnextchar[{\tikz@check@earg}%]
+ {\pgf@ifnextchar<{\tikz@doopt}{\tikz@@command@path}}}
\def\tikz@check@earg[#1]{%
- \@ifnextchar<{\tikz@swap@args[#1]}{\tikz@@command@path[#1]}}
+ \pgf@ifnextchar<{\tikz@swap@args[#1]}{\tikz@@command@path[#1]}}
\def\tikz@swap@args[#1]<#2>{\tikz@command@path<#2>[#1]}
\def\tikz@doopt{%
@@ -1050,11 +1298,11 @@
\def\tikz@@command@path{%
\edef\tikzscope@linewidth{\the\pgflinewidth}%
\begingroup%
- \let\tikz@options=\@empty%
- \let\tikz@mode=\@empty%
+ \let\tikz@options=\pgf@empty%
+ \let\tikz@mode=\pgf@empty%
\let\tikz@moveto@waiting=\relax%
\let\tikz@timer=\relax%
- \let\tikz@collected@onpath=\@empty%
+ \let\tikz@collected@onpath=\pgf@empty%
\tikz@snakedfalse%
\tikz@node@is@a@labelfalse%
\tikz@expandcount=1000\relax%
@@ -1066,7 +1314,7 @@
\tikz@scan@next@command%
}
\def\tikz@scan@next@command{%
- \ifx\tikz@collected@onpath\@empty%
+ \ifx\tikz@collected@onpath\pgf@empty%
\else%
\tikz@invoke@collected@onpath%
\fi%
@@ -1129,17 +1377,21 @@
\let\@next=\tikz@pchar%
\pgfsetmovetofirstplotpoint%
\else%
- \ifx\@let@token\pgfextra%
- \let\@next=\tikz@extra%
+ \ifx\@let@token t%
+ \let\@next=\tikz@to%
\else%
- \ifx\@let@token\foreach%
- \let\@next=\tikz@foreach%
+ \ifx\@let@token\pgfextra%
+ \let\@next=\tikz@extra%
\else%
- \ifx\@let@token\pgf@stop%
- \let\@next=\relax%
+ \ifx\@let@token\foreach%
+ \let\@next=\tikz@foreach%
\else%
- \ifx\@let@token\par%
- \let\@next=\tikz@scan@next@command%
+ \ifx\@let@token\pgf@stop%
+ \let\@next=\relax%
+ \else%
+ \ifx\@let@token\par%
+ \let\@next=\tikz@scan@next@command%
+ \fi%
\fi%
\fi%
\fi%
@@ -1164,14 +1416,16 @@
\@next%
}
-\def\tikz@pchar{\@ifnextchar l{\tikz@plot}{\tikz@parabola}}
+\def\tikz@pchar{\pgf@ifnextchar l{\tikz@plot}{\tikz@parabola}}
\def\tikz@cchar{%
- \@ifnextchar i{\tikz@circle}%
- {\@ifnextchar h{\tikz@children}{\tikz@cochar}}}%
+ \pgf@ifnextchar i{\tikz@circle}%
+ {\pgf@ifnextchar h{\tikz@children}{\tikz@cochar}}}%
\def\tikz@cochar o{%
- \@ifnextchar o{\tikz@coordinate}{\tikz@cosine}}
+ \pgf@ifnextchar o{\tikz@coordinate}{\tikz@cosine}}
\def\tikz@e@char{%
- \@ifnextchar l{\tikz@ellipse}{\tikz@edgetoparent}}
+ \pgf@ifnextchar l{\tikz@ellipse}{\tikz@@e@char}}%
+\def\tikz@@e@char dge{%
+ \pgf@ifnextchar f{\tikz@edgetoparent}{\tikz@edge@plain}}%
\def\tikz@finish{%
@@ -1181,15 +1435,15 @@
\tikz@mode@clipfalse%
\tikz@mode@boundaryfalse%
\edef\tikz@pathextend{%
- {\noexpand\pgfpoint{\the\pgf@pathminx}{\the\pgf@pathminy}}%
- {\noexpand\pgfpoint{\the\pgf@pathmaxx}{\the\pgf@pathmaxy}}%
+ {\noexpand\pgfqpoint{\the\pgf@pathminx}{\the\pgf@pathminy}}%
+ {\noexpand\pgfqpoint{\the\pgf@pathmaxx}{\the\pgf@pathmaxy}}%
}%
\tikz@mode% installs the mode settings
% Rendering pipeline:
%
% Step 1: Setup options
%
- \ifx\tikz@options\@empty%
+ \ifx\tikz@options\pgf@empty%
\else%
\pgfsys@beginscope%
\begingroup%
@@ -1263,7 +1517,7 @@
%
% Step 8: Close option brace
%
- \ifx\tikz@options\@empty%
+ \ifx\tikz@options\pgf@empty%
\else%
\endgroup%
\pgfsys@endscope%
@@ -1313,8 +1567,12 @@
% Syntax for pgfextra:
% \pgfextra {normal tex text}
+% \pgfextra normal tex text \endpgfextra
+
+\def\tikz@extra{\pgf@ifnextchar\bgroup\tikz@@extra\relax}
+\long\def\tikz@@extra#1{#1\tikz@scan@next@command}
+\let\endpgfextra=\tikz@scan@next@command
-\long\def\tikz@extra#1{#1\tikz@scan@next@command}
\def\pgfextra{pgfextra}
@@ -1327,7 +1585,7 @@
\def\tikz@foreach{%
\def\pgffor@beginhook{\setbox\tikz@figbox=\box\tikz@tempbox\expandafter\tikz@scan@next@command\@firstofone}%
- \def\pgffor@endhook{\pgfextra{\global\setbox\tikz@tempbox=\copy\tikz@figbox\@gobble}}%
+ \def\pgffor@endhook{\pgfextra{\global\setbox\tikz@tempbox=\copy\tikz@figbox\pgf@gobble}}%
\def\pgffor@afterhook{\setbox\tikz@figbox=\box\tikz@tempbox\tikz@scan@next@command}%
\global\setbox\tikz@tempbox=\copy\tikz@figbox%
\foreach}
@@ -1338,7 +1596,7 @@
\def\tikz@command@againpath#1{%
\pgfextra{%
\pgfsyssoftpath@getcurrentpath\tikz@temp%
- \expandafter\g@addto@macro\expandafter\tikz@temp\expandafter{#1}%
+ \expandafter\pgf@g@addto@macro\expandafter\tikz@temp\expandafter{#1}%
\pgfsyssoftpath@setcurrentpath\tikz@temp%
}
}
@@ -1395,8 +1653,8 @@
\pgf@process{\pgfpointshapeborder{\tikz@moveto@waiting}{#1}}%
#2=\pgf@x%
#3=\pgf@y%
- \edef\tikz@timer@start{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}%
- \pgfpathmoveto{\pgfpoint{\pgf@x}{\pgf@y}}%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ \pgfpathmoveto{\pgfqpoint{\pgf@x}{\pgf@y}}%
\fi%
\let\tikz@moveto@waiting=\relax%
}
@@ -1407,9 +1665,9 @@
%
\def\tikz@collect@coordinate@onpath#1coordinate{%
- \@ifnextchar[{\tikz@@collect@coordinate@opt#1}{\tikz@@collect@coordinate@opt#1[]}}%}
+ \pgf@ifnextchar[{\tikz@@collect@coordinate@opt#1}{\tikz@@collect@coordinate@opt#1[]}}%}
\def\tikz@@collect@coordinate@opt#1[#2]{%
- \@ifnextchar({\tikz@@collect@coordinate#1[#2]}{%
+ \pgf@ifnextchar({\tikz@@collect@coordinate#1[#2]}{%
\tikz@collect@label@onpath#1node[shape=coordinate,#2]{}}}%}
\def\tikz@@collect@coordinate#1[#2](#3){%
\tikz@collect@label@onpath#1node[shape=coordinate,#2](#3){}}
@@ -1419,9 +1677,9 @@
\tikz@collect@label@scan#1}
\def\tikz@collect@label@scan#1{%
- \@ifnextchar({\tikz@collect@paran#1}%
- {\@ifnextchar[{\tikz@collect@options#1}%
- {\@ifnextchar\bgroup{\tikz@collect@arg#1}%
+ \pgf@ifnextchar({\tikz@collect@paran#1}%
+ {\pgf@ifnextchar[{\tikz@collect@options#1}%
+ {\pgf@ifnextchar\bgroup{\tikz@collect@arg#1}%
{#1}}}%
}%}}
@@ -1442,7 +1700,7 @@
\def\tikz@invoke@collected@onpath{%
\tikz@node@is@a@labeltrue%
\let\tikz@temp=\tikz@collected@onpath%
- \let\tikz@collected@onpath=\@empty%
+ \let\tikz@collected@onpath=\pgf@empty%
\expandafter\tikz@scan@next@command\tikz@temp\pgf@stop%
\tikz@node@is@a@labelfalse%
}
@@ -1454,26 +1712,26 @@
% -- <point>
\def\tikz@lineto{%
- \@ifnextchar |%
- {\expandafter\tikz@hv@lineto\@gobble}%
- {\expandafter\@ifnextchar\tikz@activebar{\expandafter\tikz@hv@lineto\@gobble}%
- {\expandafter\tikz@lineto@mid\@gobble}}}
+ \pgf@ifnextchar |%
+ {\expandafter\tikz@hv@lineto\pgf@gobble}%
+ {\expandafter\pgf@ifnextchar\tikz@activebar{\expandafter\tikz@hv@lineto\pgf@gobble}%
+ {\expandafter\tikz@lineto@mid\pgf@gobble}}}
\def\tikz@lineto@mid{%
- \@ifnextchar n{\tikz@collect@label@onpath\tikz@lineto@mid}%
+ \pgf@ifnextchar n{\tikz@collect@label@onpath\tikz@lineto@mid}%
{%
- \@ifnextchar c{\tikz@close}{%
- \@ifnextchar p{\pgfsetlinetofirstplotpoint\expandafter\tikz@plot\@gobble}%
+ \pgf@ifnextchar c{\tikz@close}{%
+ \pgf@ifnextchar p{\pgfsetlinetofirstplotpoint\expandafter\tikz@plot\pgf@gobble}%
{\tikz@scan@one@point{\tikz@@lineto}}}}}
\def\tikz@@lineto#1{%
% Record the starting point for later labels on the path:
- \edef\tikz@timer@start{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}
\iftikz@shapeborder%
% ok, target is a shape. recalculate end
\pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\tikz@last@position}}%
- \tikz@make@last@position{\pgfpoint{\pgf@x}{\pgf@y}}%
+ \tikz@make@last@position{\pgfqpoint{\pgf@x}{\pgf@y}}%
\tikz@flush@moveto@toward{\tikz@last@position}\pgf@x\pgf@y%
\tikz@path@lineto{\tikz@last@position}%
- \edef\tikz@timer@end{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
\tikz@make@last@position{#1}%
\edef\tikz@moveto@waiting{\tikz@shapeborder@name}%
\else%
@@ -1482,7 +1740,7 @@
\tikz@make@last@position{#1}%
\tikz@flush@moveto@toward{\tikz@last@position}\pgf@x\pgf@y%
\tikz@path@lineto{\tikz@last@position}%
- \edef\tikz@timer@end{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
\fi%
\let\tikz@timer=\tikz@timer@line%
\tikz@scan@next@command%
@@ -1500,7 +1758,10 @@
% snake or lineto?
\def\tikz@path@close#1{%
\iftikz@snaked%
- \pgfpathsnakesto{\tikz@presnake,{\tikz@snake}{\tikz@mainsnakelength},\tikz@postsnake}{#1}%
+ {%
+ \pgftransformreset%
+ \pgfpathsnakesto{\tikz@presnake,{\tikz@snake}{\tikz@mainsnakelength},\tikz@postsnake}{#1}%
+ }%
\pgfpathclose%
\else%
\pgfpathclose%
@@ -1512,30 +1773,30 @@
% -| <point>
\def\tikz@hv@lineto{%
- \@ifnextchar n
+ \pgf@ifnextchar n
{\tikz@collect@label@onpath\tikz@hv@lineto}
- {\@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@hv@lineto}%
+ {\pgf@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@hv@lineto}%
{\tikz@scan@one@point{\tikz@@hv@lineto}}}}
\def\tikz@@hv@lineto#1{%
- \edef\tikz@timer@start{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
\pgf@yc=\tikz@lasty%
\tikz@make@last@position{#1}%
- \tikz@flush@moveto@toward{\pgfpoint{\tikz@lastx}{\pgf@yc}}\pgf@x\pgf@yc%
+ \tikz@flush@moveto@toward{\pgfqpoint{\tikz@lastx}{\pgf@yc}}\pgf@x\pgf@yc%
\iftikz@shapeborder%
% ok, target is a shape. have to work now:
{%
- \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfpoint{\tikz@lastx}{\pgf@yc}}}%
- \tikz@make@last@position{\pgfpoint{\pgf@x}{\pgf@y}}%
- \tikz@path@lineto{\pgfpoint{\tikz@lastx}{\pgf@yc}}%
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfqpoint{\tikz@lastx}{\pgf@yc}}}%
+ \tikz@make@last@position{\pgfqpoint{\pgf@x}{\pgf@y}}%
+ \tikz@path@lineto{\pgfqpoint{\tikz@lastx}{\pgf@yc}}%
\tikz@path@lineto{\tikz@last@position}%
- \xdef\tikz@timer@end@temp{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}% move out of group
+ \xdef\tikz@timer@end@temp{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% move out of group
}%
\let\tikz@timer@end=\tikz@timer@end@temp%
\edef\tikz@moveto@waiting{\tikz@shapeborder@name}%
\else%
- \tikz@path@lineto{\pgfpoint{\tikz@lastx}{\pgf@yc}}%
+ \tikz@path@lineto{\pgfqpoint{\tikz@lastx}{\pgf@yc}}%
\tikz@path@lineto{\tikz@last@position}%
- \edef\tikz@timer@end{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}% move out of group
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% move out of group
\fi%
\let\tikz@timer=\tikz@timer@hvline%
\tikz@scan@next@command%
@@ -1546,30 +1807,30 @@
\def\tikz@vh@lineto-{\tikz@vh@lineto@next}
\def\tikz@vh@lineto@next{%
- \@ifnextchar n
+ \pgf@ifnextchar n
{\tikz@collect@label@onpath\tikz@vh@lineto@next}
- {\@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@vh@lineto@next}%
+ {\pgf@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@vh@lineto@next}%
{\tikz@scan@one@point\tikz@@vh@lineto}}}
\def\tikz@@vh@lineto#1{%
- \edef\tikz@timer@start{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
\pgf@xc=\tikz@lastx%
\tikz@make@last@position{#1}%
- \tikz@flush@moveto@toward{\pgfpoint{\pgf@xc}{\tikz@lasty}}\pgf@xc\pgf@y%
+ \tikz@flush@moveto@toward{\pgfqpoint{\pgf@xc}{\tikz@lasty}}\pgf@xc\pgf@y%
\iftikz@shapeborder%
% ok, target is a shape. have to work now:
{%
- \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfpoint{\pgf@xc}{\tikz@lasty}}}%
- \tikz@make@last@position{\pgfpoint{\pgf@x}{\pgf@y}}%
- \tikz@path@lineto{\pgfpoint{\pgf@xc}{\tikz@lasty}}%
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfqpoint{\pgf@xc}{\tikz@lasty}}}%
+ \tikz@make@last@position{\pgfqpoint{\pgf@x}{\pgf@y}}%
+ \tikz@path@lineto{\pgfqpoint{\pgf@xc}{\tikz@lasty}}%
\tikz@path@lineto{\tikz@last@position}%
- \xdef\tikz@timer@end@temp{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}% move out of group
+ \xdef\tikz@timer@end@temp{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% move out of group
}%
\let\tikz@timer@end=\tikz@timer@end@temp%
\edef\tikz@moveto@waiting{\tikz@shapeborder@name}%
\else%
- \tikz@path@lineto{\pgfpoint{\pgf@xc}{\tikz@lasty}}%
+ \tikz@path@lineto{\pgfqpoint{\pgf@xc}{\tikz@lasty}}%
\tikz@path@lineto{\tikz@last@position}%
- \edef\tikz@timer@end{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
\fi%
\let\tikz@timer=\tikz@timer@vhline%
\tikz@scan@next@command%
@@ -1578,7 +1839,7 @@
% Syntax for cycle:
% -- cycle
\def\tikz@close c{%
- \@ifnextchar o{\tikz@collect@coordinate@onpath\tikz@lineto@mid c}% oops, a coordinate
+ \pgf@ifnextchar o{\tikz@collect@coordinate@onpath\tikz@lineto@mid c}% oops, a coordinate
{\tikz@@close c}}%
\def\tikz@@close cycle{%
\tikz@flush@moveto%
@@ -1596,13 +1857,100 @@
\tikz@scan@next@command%
}
+% Syntax for edges:
+% edge [options] (coordinate)
+% edge [options] node {node text} (coordinate)
+\def\tikz@edge@plain{%
+ \begingroup%
+ \tikz@to@use@whom%
+ \let\tikz@to@or@edge@function=\tikz@do@edge%
+ \tikz@to@or@edge}
+
+% Syntax for to paths:
+% to [options] (coordinate)
+% to [options] node {node text} (coordinate)
+\def\tikz@to o{%
+ \tikz@to@use@last@coordinate%
+ \let\tikz@to@or@edge@function=\tikz@do@to%
+ \tikz@to@or@edge}
+
+\def\tikz@to@or@edge{\pgf@ifnextchar[\tikz@@to@or@edge{\tikz@@to@or@edge[]}}%}
+\def\tikz@@to@or@edge[#1]{%
+ \def\tikz@@to@local@options{[#1]}%
+ \let\tikz@collected@onpath=\pgf@empty%
+ \tikz@@to@collect%
+}
+\def\tikz@@to@collect{%
+ \pgf@ifnextchar(\tikz@@to@or@edge@coordinate
+ {\pgf@ifnextchar n{\tikz@collect@label@onpath\tikz@@to@collect}%
+ {\pgf@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@@to@collect}
+ {\PackageError{tikz}{( expected}{}%}
+ \tikz@@to@or@edge@coordinate()}}}%
+}
+
+\def\tikz@@to@or@edge@coordinate(#1){%
+ \def\tikztotarget{#1}%
+ \tikz@to@or@edge@function%
+}
+
+\def\tikz@do@edge{%
+ \setbox\tikz@figbox=\hbox\bgroup%
+ \unhbox\tikz@figbox%
+ \hbox\bgroup
+ \bgroup%
+ \pgfinterruptpath%
+ \pgfscope%
+ \let\tikz@transform=\pgf@empty%
+ \let\tikz@options=\pgf@empty%
+ \let\tikz@tonodes=\tikz@collected@onpath%
+ \def\tikztonodes{{\pgfextra{\tikz@node@is@a@labeltrue}\tikz@tonodes}}%
+ \let\tikz@collected@onpath=\pgf@empty%
+ \tikz@options%
+ \tikz@transform%
+ % Typeset node:
+ \tikz@atbegin@to%
+ \path[style=every edge]\tikz@@to@local@options(\tikztostart)\tikz@to@path;%
+ \tikz@atend@to%
+ \endpgfscope%
+ \endpgfinterruptpath%
+ \egroup
+ \egroup%
+ \egroup%
+ \global\setbox\tikz@tempbox=\copy\tikz@figbox%
+ \endgroup%
+ \setbox\tikz@figbox=\box\tikz@tempbox%
+ \tikz@scan@next@command%
+}
+
+\def\tikz@do@to{%
+ \let\tikz@tonodes=\tikz@collected@onpath%
+ \def\tikztonodes{{\pgfextra{\tikz@node@is@a@labeltrue}\tikz@tonodes}}%
+ \let\tikz@collected@onpath=\pgf@empty%
+ \tikz@scan@next@command%
+ \pgfextra{\tikz@atbegin@to}%
+ [style=every to]\tikz@@to@local@options\tikz@to@path%
+ \pgfextra{\tikz@atend@to}%
+}
+
+
+\def\tikz@to@use@last@coordinate{%
+ \iftikz@shapeborder%
+ \edef\tikztostart{\tikz@shapeborder@name}%
+ \else%
+ \edef\tikztostart{\the\tikz@lastx,\the\tikz@lasty}%
+ \fi%
+}
+\def\tikz@to@use@last@fig@name{%
+ \edef\tikztostart{\tikz@to@last@fig@name}%
+}
+
% Syntax for edge from parent:
% edge from parent [options]
-\def\tikz@edgetoparent dge from parent{\@ifnextchar[\tikz@@edgetoparent{\tikz@@edgetoparent[]}}%}
+\def\tikz@edgetoparent from parent{\pgf@ifnextchar[\tikz@@edgetoparent{\tikz@@edgetoparent[]}}%}
\def\tikz@@edgetoparent[#1]{%
- \let\tikz@edge@to@parent@needed=\@empty%
+ \let\tikz@edge@to@parent@needed=\pgf@empty%
\tikz@node@is@a@labeltrue%
\tikz@scan@next@command [style=edge from parent,#1] \tikz@edge@to@parent@path%
}
@@ -1615,23 +1963,23 @@
\def\tikz@dot.{\tikz@@dot}%
\def\tikz@@dot{%
- \@ifnextchar n%
+ \pgf@ifnextchar n%
{\tikz@collect@label@onpath\tikz@@dot}%
- {\@ifnextchar c{\tikz@curveto@double}{\tikz@curveto@auto}}}
+ {\pgf@ifnextchar c{\tikz@curveto@double}{\tikz@curveto@auto}}}
\def\tikz@curveto@double co{%
- \@ifnextchar o{\tikz@collect@coordinate@onpath\tikz@@dot co}
+ \pgf@ifnextchar o{\tikz@collect@coordinate@onpath\tikz@@dot co}
{\tikz@cureveto@@double}}
\def\tikz@cureveto@@double ntrols#1{%
\tikz@scan@one@point\tikz@curveA#1%
}
\def\tikz@curveA#1{%
- \edef\tikz@timer@start{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
{%
\tikz@make@last@position{#1}%
- \xdef\tikz@curve@first{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \xdef\tikz@curve@first{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
}%
- \@ifnextchar a
+ \pgf@ifnextchar a
{\tikz@curveBand}%
{\let\tikz@curve@second\tikz@curve@first\tikz@curveCdots}%
}
@@ -1652,19 +2000,19 @@
\tikz@curveCcheck%
}
\def\tikz@curveCcheck{%
- \@ifnextchar n%
+ \pgf@ifnextchar n%
{\tikz@collect@label@onpath\tikz@curveCcheck}
- {\@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@curveCcheck}
+ {\pgf@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@curveCcheck}
{\tikz@scan@one@point\tikz@curveC}}%
}
\def\tikz@curveC#1{%
\tikz@make@last@position{#1}%
- \edef\tikz@curve@third{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \edef\tikz@curve@third{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
{%
\tikz@lastxsaved=\tikz@lastx%
\tikz@lastysaved=\tikz@lasty%
\tikz@make@last@position{\tikz@curve@second}%
- \xdef\tikz@curve@second{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \xdef\tikz@curve@second{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
}%
%
% Start recalculating things in case start and end are shapes.
@@ -1673,8 +2021,8 @@
\ifx\tikz@moveto@waiting\relax%
\else%
\pgf@process{\pgfpointshapeborder{\tikz@moveto@waiting}{\tikz@curve@first}}%
- \edef\tikz@timer@start{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}%
- \pgfpathmoveto{\pgfpoint{\pgf@x}{\pgf@y}}%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ \pgfpathmoveto{\pgfqpoint{\pgf@x}{\pgf@y}}%
\fi%
\let\tikz@timer@cont@one=\tikz@curve@first%
\let\tikz@timer@cont@two=\tikz@curve@second%
@@ -1683,8 +2031,8 @@
% ok, target is a shape. recalculate third
{%
\pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\tikz@curve@second}}%
- \tikz@make@last@position{\pgfpoint{\pgf@x}{\pgf@y}}%
- \edef\tikz@curve@third{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \tikz@make@last@position{\pgfqpoint{\pgf@x}{\pgf@y}}%
+ \edef\tikz@curve@third{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
\pgfpathcurveto{\tikz@curve@first}{\tikz@curve@second}{\tikz@curve@third}%
\global\let\tikz@timer@end@temp=\tikz@curve@third% move out of group
}%
@@ -1704,26 +2052,26 @@
% rectangle <corner point>
\def\tikz@rect ectangle{%
\tikz@flush@moveto%
- \edef\tikz@timer@start{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
\tikz@@rect}%
\def\tikz@@rect{%
- \@ifnextchar n
+ \pgf@ifnextchar n
{\tikz@collect@label@onpath\tikz@@rect}
- {\@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@@rect}%
+ {\pgf@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@@rect}%
{
\pgf@xa=\tikz@lastx\relax%
\pgf@ya=\tikz@lasty\relax%
\tikz@scan@one@point\tikz@rectB}}}
\def\tikz@rectB#1{%
\tikz@make@last@position{#1}%
- \edef\tikz@timer@end{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
\let\tikz@timer=\tikz@timer@line%
- \pgfpathmoveto{\pgfpoint{\pgf@xa}{\pgf@ya}}%
- \tikz@path@lineto{\pgfpoint{\pgf@xa}{\tikz@lasty}}%
- \tikz@path@lineto{\pgfpoint{\tikz@lastx}{\tikz@lasty}}%
- \tikz@path@lineto{\pgfpoint{\tikz@lastx}{\pgf@ya}}%
- \tikz@path@close{\pgfpoint{\pgf@xa}{\pgf@ya}}%
- \pgfpathmoveto{\pgfpoint{\tikz@lastx}{\tikz@lasty}}%
+ \pgfpathmoveto{\pgfqpoint{\pgf@xa}{\pgf@ya}}%
+ \tikz@path@lineto{\pgfqpoint{\pgf@xa}{\tikz@lasty}}%
+ \tikz@path@lineto{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}%
+ \tikz@path@lineto{\pgfqpoint{\tikz@lastx}{\pgf@ya}}%
+ \tikz@path@close{\pgfqpoint{\pgf@xa}{\pgf@ya}}%
+ \pgfpathmoveto{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}%
\def\pgfstrokehook{}%
\tikz@scan@next@command%
}
@@ -1736,11 +2084,33 @@
\tikz@flush@moveto%
\pgf@xa=\tikz@lastx\relax%
\pgf@ya=\tikz@lasty\relax%
+ \pgf@ifnextchar[{\tikz@gridA}{\tikz@gridA[]}}%}
+\def\tikz@gridA[#1]{%
+ \def\tikz@grid@options{#1}%
\tikz@scan@one@point\tikz@gridB}%
\def\tikz@gridB#1{%
\tikz@make@last@position{#1}%
- \pgfpathgrid[stepx=\tikz@grid@x,stepy=\tikz@grid@y]%
- {\pgfpoint{\pgf@xa}{\pgf@ya}}{\pgfpoint{\tikz@lastx}{\tikz@lasty}}%
+ {%
+ \expandafter\tikz@setkeys\expandafter{\tikz@grid@options}
+ \tikz@checkunit{\tikz@grid@x}%
+ \iftikz@isdimension%
+ \pgf@process{\pgfpoint{\tikz@grid@x}{0pt}}%
+ \else%
+ \pgf@process{\pgfpointxy{\tikz@grid@x}{0}}%
+ \fi%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \tikz@checkunit{\tikz@grid@y}%
+ \iftikz@isdimension%
+ \pgf@process{\pgfpoint{0pt}{\tikz@grid@y}}%
+ \else%
+ \pgf@process{\pgfpointxy{0}{\tikz@grid@y}}%
+ \fi%
+ \advance\pgf@xb by\pgf@x%
+ \advance\pgf@yb by\pgf@y%
+ \pgfpathgrid[stepx=\pgf@xb,stepy=\pgf@yb]%
+ {\pgfqpoint{\pgf@xa}{\pgf@ya}}{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}%
+ }
\tikz@scan@next@command%
}
@@ -1751,29 +2121,29 @@
% -- plot [local options] ... % starts with a lineto
\def\tikz@plot lot{%
\tikz@flush@moveto%
- \@ifnextchar[{\tikz@@plot}{\tikz@@plot[]}}%}
+ \pgf@ifnextchar[{\tikz@@plot}{\tikz@@plot[]}}%}
\def\tikz@@plot[#1]{%
\begingroup%
- \let\tikz@options=\@empty%
+ \let\tikz@options=\pgf@empty%
\tikz@every@style{every plot}%
\tikz@setkeys{#1}%
- \@ifnextchar f{\tikz@plot@f}%
- {\@ifnextchar c{\tikz@plot@scan@points}%
+ \pgf@ifnextchar f{\tikz@plot@f}%
+ {\pgf@ifnextchar c{\tikz@plot@scan@points}%
{\PackageError{tikz}{Cannot parse this plotting data}{}%
\endgroup}}}
-\def\tikz@plot@f f{\@ifnextchar i{\tikz@plot@file}{\tikz@plot@function}}
+\def\tikz@plot@f f{\pgf@ifnextchar i{\tikz@plot@file}{\tikz@plot@function}}
\def\tikz@plot@file ile#1{\def\tikz@plot@data{\pgfplotxyfile{#1}}\tikz@@@plot}%
\def\tikz@plot@scan@points coordinates#1{%
\pgfplothandlerrecord\tikz@plot@data%
\pgfplotstreamstart%
- \@ifnextchar\pgf@stop{\pgfplotstreamend\expandafter\tikz@@@plot\@gobble}
+ \pgf@ifnextchar\pgf@stop{\pgfplotstreamend\expandafter\tikz@@@plot\pgf@gobble}
{\tikz@scan@one@point\tikz@plot@next@point}%
#1\pgf@stop%
}
\def\tikz@plot@next@point#1{%
\pgfplotstreampoint{#1}%
- \@ifnextchar\pgf@stop{\pgfplotstreamend\expandafter\tikz@@@plot\@gobble}%
+ \pgf@ifnextchar\pgf@stop{\pgfplotstreamend\expandafter\tikz@@@plot\pgf@gobble}%
{\tikz@scan@one@point\tikz@plot@next@point}%
}
\def\tikz@plot@function unction#1{%
@@ -1807,7 +2177,7 @@
\tikz@plot@handler%
\tikz@plot@data%
\global\let\tikz@@@temp=\pgfplotlastpoint%
- \ifx\tikz@plot@mark\@empty%
+ \ifx\tikz@plot@mark\pgf@empty%
\else%
% Marks are drawn after the path.
\setbox\tikz@figbox=\hbox{%
@@ -1815,11 +2185,15 @@
\hbox{{%
\pgfinterruptpath%
\pgfscope%
- \let\tikz@options=\@empty%
- \let\tikz@transform=\@empty%
+ \let\tikz@options=\pgf@empty%
+ \let\tikz@transform=\pgf@empty%
\expandafter\tikz@setkeys\expandafter{\tikz@plot@mark@options}%
\tikz@options%
- \pgfplothandlermark{\tikz@transform\pgfuseplotmark{\tikz@plot@mark}}%
+ \ifx\tikz@mark@list\pgf@empty%
+ \pgfplothandlermark{\tikz@transform\pgfuseplotmark{\tikz@plot@mark}}%
+ \else
+ \pgfplothandlermarklisted{\tikz@transform\pgfuseplotmark{\tikz@plot@mark}}{\tikz@mark@list}%
+ \fi
\tikz@plot@data%
\endpgfscope
\endpgfinterruptpath%
@@ -1858,7 +2232,7 @@
\tikz@lastxsaved=\tikz@lastx%
\tikz@lastysaved=\tikz@lasty%
\tikz@updatecurrenttrue%
- \pgfpathcosine{\pgfpoint{\pgf@xc}{\pgf@yc}}%
+ \pgfpathcosine{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
\tikz@scan@next@command%
}
@@ -1877,24 +2251,25 @@
\tikz@lastxsaved=\tikz@lastx%
\tikz@lastysaved=\tikz@lasty%
\tikz@updatecurrenttrue%
- \pgfpathsine{\pgfpoint{\pgf@xc}{\pgf@yc}}%
+ \pgfpathsine{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
\tikz@scan@next@command%
}
% Syntax for parabolas:
% parabola[options] bend <coordinate> <coordinate>
\def\tikz@parabola arabola{%
- \@ifnextchar[{\tikz@parabola@options}{\tikz@parabola@options[]}}%}
+ \pgf@ifnextchar[{\tikz@parabola@options}{\tikz@parabola@options[]}}%}
\def\tikz@parabola@options[#1]{%
\def\tikz@parabola@option{#1}%
- \@ifnextchar b{\tikz@parabola@scan@bend}{\tikz@scan@one@point\tikz@parabola@semifinal}}
+ \pgf@ifnextchar b{\tikz@parabola@scan@bend}{\tikz@scan@one@point\tikz@parabola@semifinal}}
\def\tikz@parabola@scan@bend bend{\tikz@scan@one@point\tikz@parabola@scan@bendB}
\def\tikz@parabola@scan@bendB#1{%
\def\tikz@parabola@bend{#1}%
\tikz@scan@one@point\tikz@parabola@semifinal%
}
\def\tikz@parabola@semifinal#1{%
+ \tikz@flush@moveto%
% Save original start:
\pgf@xb=\tikz@lastx%
\pgf@yb=\tikz@lasty%
@@ -1916,7 +2291,7 @@
% Ok, now calculate delta to bend
\advance\tikz@lastx by-\pgf@xb%
\advance\tikz@lasty by-\pgf@yb%
- \xdef\tikz@parabola@b{{\noexpand\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}{\noexpand\pgfpoint{\the\pgf@xc}{\the\pgf@yc}}}%
+ \xdef\tikz@parabola@b{{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}{\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}}%
\endgroup%
\expandafter\pgfpathparabola\tikz@parabola@b%
\tikz@scan@next@command%
@@ -1927,12 +2302,13 @@
% circle (radius)
%
% Syntax for ellipses:
-% ellipse (x-radius/y-radius)
-\def\tikz@circle ircle{\tikz@@circle}
-\def\tikz@ellipse llipse{\tikz@@circle}
+% ellipse (x-radius and y-radius)
+%
+% radii can be dimensionless, then they are in the xy-system
+\def\tikz@circle ircle{\tikz@flush@moveto\tikz@@circle}
+\def\tikz@ellipse llipse{\tikz@flush@moveto\tikz@@circle}
\def\tikz@@circle{%
- \tikz@flush@moveto%
- \@ifnextchar(\tikz@@@circle{%)
+ \pgf@ifnextchar(\tikz@@@circle{%)
\advance\tikz@expandcount by -1%
\ifnum\tikz@expandcount<0\relax%
\let\@next=\tikz@@circle@scangiveup%
@@ -1954,42 +2330,64 @@
\tikz@scan@next@command%
}
\def\tikz@@ellipseB(#1 and #2){%
- \pgfpathellipse{\tikz@last@position}{\pgfpoint{#1}{0pt}}{\pgfpoint{0pt}{#2}}%
+ \tikz@checkunit{#1}%
+ \iftikz@isdimension%
+ \pgfpathellipse{\tikz@last@position}{\pgfpoint{#1}{0pt}}{\pgfpoint{0pt}{#2}}%
+ \else%
+ \pgfpathellipse{\tikz@last@position}{\pgfpointxy{#1}{0}}{\pgfpointxy{0}{#2}}%
+ \fi%
}
% Syntax 1 for arcs:
% arc (start angle:end angle:radius)
%
% Syntax 2 for arcs:
-% arc (start angle:end angle:x-radius/y-radius)
+% arc (start angle:end angle:x-radius and y-radius)
+%
+% radius can be dimensionless, then the arc is in the xy-coordinate system
\def\tikz@arcA rc{%
\tikz@flush@moveto%
- \@ifnextchar({\tikz@@arcto}{\expandafter\tikz@arcA\expandafter r\expandafter c}}
+ \pgf@ifnextchar({\tikz@@arcto}{\expandafter\tikz@arcA\expandafter r\expandafter c}}
\def\tikz@@arcto(#1){%
\edef\tikz@temp{(#1)}%
- \expandafter\tikz@@@arcto@and\tikz@temp%
+ \expandafter\tikz@@@arcto@check@slashand\tikz@temp%
}
-\def\tikz@@@arcto@and(#1:#2:#3){%
- \in@{ and }{#3}%
+\def\tikz@@@arcto@check@slashand(#1:#2:#3){%
+ \in@{/}{#3}%
\ifin@%
- \tikz@parse@arc@and(#1:#2:#3)%
+ \tikz@parse@arc@replace@slash@and(#1:#2:#3)%
\else%
- \tikz@@@arcto(#1:#2:#3)%
+ \in@{ and }{#3}%
+ \ifin@%
+ \tikz@parse@arc@and(#1:#2:#3)%
+ \else%
+ \tikz@parse@arc@and(#1:#2:#3 and #3)%
+ \fi%
\fi%
}
+\def\tikz@parse@arc@replace@slash@and(#1:#2:#3/#4){\tikz@parse@arc@and(#1:#2:#3 and #4)}
+
\def\tikz@parse@arc@and(#1:#2:#3 and #4){%
- \tikz@@@arcto(#1:#2:#3/#4)%
+ \tikz@checkunit{#3}%
+ \iftikz@isdimension%
+ \tikz@@@arcfinal{\pgfpatharc{#1}{#2}{#3/#4}}
+ {\pgfpointpolar{#1}{#3/#4}}
+ {\pgfpointpolar{#2}{#3/#4}}%
+ \else%
+ \tikz@@@arcfinal{\pgfpatharcaxes{#1}{#2}{\pgfpointxy{#3}{0}}{\pgfpointxy{0}{#4}}}
+ {\pgfpointpolarxy{#1}{#3/#4}}{\pgfpointpolarxy{#2}{#3/#4}}%
+ \fi%
}
-\def\tikz@@@arcto(#1:#2:#3){%
- \pgfpatharc{#1}{#2}{#3}%
- \pgf@process{\pgfpointpolar{#1}{#3}}%
+\def\tikz@@@arcfinal#1#2#3{%
+ #1%
+ \pgf@process{#2}%
\advance\tikz@lastx by-\pgf@x%
\advance\tikz@lasty by-\pgf@y%
- \pgf@process{\pgfpointpolar{#2}{#3}}%
+ \pgf@process{#3}%
\advance\tikz@lastx by\pgf@x%
\advance\tikz@lasty by\pgf@y%
\tikz@lastxsaved=\tikz@lastx%
@@ -1999,16 +2397,18 @@
% Syntax for coordinates:
-% coordinate (coordinate name) at (point)
+% coordinate[options] (coordinate name) at (point)
% where ``at (point)'' is optional
\def\tikz@coordinate ordinate{%
- \@ifnextchar({\tikz@@coordinate}
- {\tikz@fig ode[shape=coordinate]{}}}%}
-\def\tikz@@coordinate(#1){%
- \@ifnextchar a{\tikz@@coordinate@at(#1)}
- {\tikz@fig ode[shape=coordinate](#1){}}}
-\def\tikz@@coordinate@at(#1)at#2(#3){%
- \tikz@fig ode[shape=coordinate](#1)at(#3){}}
+ \pgf@ifnextchar[{\tikz@@coordinate@opt}{\tikz@@coordinate@opt[]}}
+\def\tikz@@coordinate@opt[#1]{%
+ \pgf@ifnextchar({\tikz@@coordinate[#1]}
+ {\tikz@fig ode[shape=coordinate,#1]{}}}%}
+\def\tikz@@coordinate[#1](#2){%
+ \pgf@ifnextchar a{\tikz@@coordinate@at[#1](#2)}
+ {\tikz@fig ode[shape=coordinate,#1](#2){}}}
+\def\tikz@@coordinate@at[#1](#2)at#3(#4){%
+ \tikz@fig ode[shape=coordinate,#1](#2)at(#4){}}
@@ -2021,25 +2421,28 @@
%
% A label text always ``ends'' the node.
\def\tikz@fig ode{%
+ \edef\tikz@save@line@width{\the\pgflinewidth}%
\begingroup%
- \let\tikz@fig@name=\@empty%
+ \let\tikz@fig@name=\pgf@empty%
\begingroup%
\let\nodepart=\tikz@nodepart%
- \let\tikz@options=\@empty%
- \let\tikz@transform=\@empty%
- \let\tikz@mode=\@empty%
- \def\tikz@node@at{\pgfpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \let\tikz@options=\pgf@empty%
+ \let\tikz@after@node=\pgf@empty%
+ \let\tikz@afternodepathoptions=\pgf@empty%
+ \let\tikz@transform=\pgf@empty%
+ \let\tikz@mode=\pgf@empty%
+ \def\tikz@node@at{\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
\iftikz@node@is@a@label%
\else%
- \let\tikz@time=\@empty%
+ \let\tikz@time=\pgf@empty%
\fi%
\tikz@every@style{every node}%
\tikz@@scan@fig}%
\def\tikz@@scan@fig{%
- \@ifnextchar a{\tikz@fig@scan@at}
- {\@ifnextchar({\tikz@fig@scan@name}
- {\@ifnextchar[{\tikz@fig@scan@options}%
- {\@ifnextchar\bgroup{\tikz@fig@main}%
+ \pgf@ifnextchar a{\tikz@fig@scan@at}
+ {\pgf@ifnextchar({\tikz@fig@scan@name}
+ {\pgf@ifnextchar[{\tikz@fig@scan@options}%
+ {\pgf@ifnextchar\bgroup{\tikz@fig@main}%
{\PackageError{tikz}{A node must have a (possibly empty) label text}{}%
\tikz@fig@main{}}}}}}%}}
\def\tikz@fig@scan@at at{%
@@ -2047,10 +2450,10 @@
\def\tikz@@fig@scan@at#1{%
\def\tikz@node@at{#1}\tikz@@scan@fig}%
\def\tikz@fig@scan@name(#1){\edef\tikz@fig@name{#1}\tikz@@scan@fig}%
-\def\tikz@fig@scan@options[#1]{\tikz@setkeys{#1}\tikz@@scan@fig}%
+\def\tikz@fig@scan@options[#1]{\tikz@setkeys{#1}\def\test{#1}\tikz@@scan@fig}%
\def\tikz@fig@main{\afterassignment\tikz@@fig@main\let\next=}
\def\tikz@@fig@main{%
- \@ifundefined{pgf@sh@s@\tikz@shape}%
+ \pgf@ifundefined{pgf@sh@s@\tikz@shape}%
{\PackageError{tikz}%
{Unknown shape ``\tikz@shape.'' Using ``rectangle'' instead}{}%
\def\tikz@shape{rectangle}}%
@@ -2059,47 +2462,53 @@
\setbox\pgfnodeparttextbox=\hbox%
\bgroup%
\tikz@every@style{every text node part}%
- \ifx\tikz@textopacity\@empty%
+ \ifx\tikz@textopacity\pgf@empty%
\else%
\pgfsetfillopacity{\tikz@textopacity}%
\pgfsetstrokeopacity{\tikz@textopacity}%
\fi%
\pgfinterruptpicture%
- \ifx\tikz@text@width\@empty%
+ \tikz@textfont%
+ \ifx\tikz@text@width\pgf@empty%
\else%
\begingroup%
\minipage[t]{\tikz@text@width}%
\tikz@text@action%
\fi%
+ \tikz@atbegin@node%
\bgroup%
\aftergroup\unskip%
- \ifx\tikz@textcolor\@empty%
- \color{.}%
+ \ifx\tikz@textcolor\pgf@empty%
\else%
- \color{\tikz@textcolor}%
+ \colorlet{.}{\tikz@textcolor}%
\fi%
- \tikz@textfont%
+ \pgfsetcolor{.}%
\setbox\tikz@figbox=\box\voidb@x%
\tikz@uninstallcommands%
\aftergroup\tikz@fig@collectresetcolor%
\ignorespaces%
}
\def\tikz@fig@collectresetcolor{%
- \@ifnextchar\reset@color%
+ \pgf@ifnextchar\reset@color%
{\reset@color\afterassignment\tikz@fig@collectresetcolor\let\tikz@temp=}%
{\tikz@fig@boxdone}%
}
\def\tikz@fig@boxdone{%
- \ifx\tikz@text@width\@empty%
+ \tikz@atend@node%
+ \ifx\tikz@text@width\pgf@empty%
\else%
\endminipage%
\endgroup%
\fi%
\endpgfinterruptpicture%
\egroup%
- \@ifnextchar c{\tikz@fig@withchildren}{\@ifnextchar[{\tikz@fig@withchildren}{\tikz@fig@continue}}}%}
-\def\tikz@fig@withchildren{%
- \ifx\tikz@fig@name\@empty%
+ \pgf@ifnextchar c{\tikz@fig@mustbenamed}%
+ {\pgf@ifnextchar[{\tikz@fig@mustbenamed}%
+ {\pgf@ifnextchar t{\tikz@fig@mustbenamed}
+ {\pgf@ifnextchar e{\tikz@fig@mustbenamed}
+ {\ifx\tikz@after@node\pgf@empty\expandafter\tikz@fig@continue\else\expandafter\tikz@fig@mustbenamed\fi}}}}}%}
+\def\tikz@fig@mustbenamed{%
+ \ifx\tikz@fig@name\pgf@empty%
% Assign a dummy name
\global\advance\tikz@fig@count by1\relax
\edef\tikz@fig@name{tikz@f@\the\tikz@fig@count}%
@@ -2107,19 +2516,30 @@
\tikz@fig@continue%
}
\def\tikz@fig@continue{%
- \ifx\tikz@text@width\@empty%
+ \ifx\tikz@text@width\pgf@empty%
\else%
\setlength{\pgf@x}{\tikz@text@width}%
\wd\pgfnodeparttextbox=\pgf@x%
\fi%
+ \ifx\tikz@text@height\pgf@empty%
+ \else%
+ \setlength{\pgf@x}{\tikz@text@height}%
+ \ht\pgfnodeparttextbox=\pgf@x%
+ \fi%
+ \ifx\tikz@text@depth\pgf@empty%
+ \else%
+ \setlength{\pgf@x}{\tikz@text@depth}%
+ \dp\pgfnodeparttextbox=\pgf@x%
+ \fi%
% Possibly, we are ``online''
- \ifx\tikz@time\@empty%
+ \ifx\tikz@time\pgf@empty%
\pgftransformshift{\tikz@node@at}%
\iftikz@fullytransformed%
\else%
\pgftransformresetnontranslations
\fi%
\else%
+ \tikz@do@auto@anchor%
\tikz@timer%
\fi%
% Invoke local transformations
@@ -2141,24 +2561,35 @@
\endpgfinterruptpath%
}}%
}%
+ %
+ \global\let\tikz@last@fig@name=\tikz@fig@name%
+ \global\let\tikz@after@node@smuggle=\tikz@after@node%
+ \global\let\tikz@afternodepathoptions@smuggle=\tikz@afternodepathoptions%
% shift box outside group
\global\setbox\tikz@tempbox=\copy\tikz@figbox%
- \global\let\tikz@last@fig@name=\tikz@fig@name%
\endgroup\endgroup%
- \setbox\tikz@figbox=\box\tikz@tempbox%
+ \setbox\tikz@figbox=\box\tikz@tempbox%
+ \pgflinewidth=\tikz@save@line@width%
+ \let\tikz@to@last@fig@name=\tikz@last@fig@name%
+ \let\tikz@to@use@whom=\tikz@to@use@last@fig@name%
+ \let\tikzlastnode=\tikz@last@fig@name%
+ \ifx\tikz@after@node@smuggle\pgf@empty%
+ \else%
+ \tikz@scan@next@command{\pgfextra{\tikz@afternodepathoptions@smuggle}\tikz@after@node@smuggle}\pgf@stop%
+ \fi%
\tikz@scan@next@command%
}
\let\tikz@fig@continue@orig=\tikz@fig@continue
-
% Syntax for parts of nodes:
% node ... {... \nodepart{name} ... \nodepart{name} ...}
\def\tikz@nodepart#1{%
+ \tikz@atend@node%
\unskip%
\gdef\tikz@nodepart@name{#1}%
\global\let\tikz@fig@continue=\tikz@nodepart@continue%
- \@ifnextchar x{\egroup\relax}{\egroup\relax}% gobble spaces
+ \pgf@ifnextchar x{\egroup\relax}{\egroup\relax}% gobble spaces
}
\def\tikz@nodepart@continue{%
\global\let\tikz@fig@continue=\tikz@fig@continue@orig%
@@ -2167,7 +2598,8 @@
\bgroup%
\tikz@every@style{every \tikz@nodepart@name\space node part}%
\pgfinterruptpicture%
- \ifx\tikz@text@width\@empty%
+ \tikz@textfont%
+ \ifx\tikz@text@width\pgf@empty%
\else%
\begingroup%
\minipage[t]{\tikz@text@width}%
@@ -2175,44 +2607,117 @@
\fi%
\bgroup%
\aftergroup\unskip%
- \ifx\tikz@textcolor\@empty%
- \color{.}%
+ \ifx\tikz@textcolor\pgf@empty%
\else%
- \color{\tikz@textcolor}%
+ \colorlet{.}{\tikz@textcolor}%
\fi%
- \tikz@textfont%
+ \pgfsetcolor{.}%
\setbox\tikz@figbox=\box\voidb@x%
\tikz@uninstallcommands%
+ \tikz@atbegin@node%
\aftergroup\tikz@fig@collectresetcolor%
\ignorespaces%
}
+% Auto placement
+
+\def\tikz@auto@pre{%
+ \begingroup
+ \pgfresetnontranslationattimefalse
+ \pgfslopedattimetrue%
+ \pgfallowupsidedownattimetrue%
+ \tikz@timer%
+ \pgf@x=\pgf@pt@aa pt%
+ \pgf@y=\pgf@pt@ab pt%
+ \pgfpointnormalised{}%
+}
+
+\def\tikz@auto@post{%
+ \global\let\tikz@anchor@smuggle=\tikz@anchor%
+ \endgroup%
+ \let\tikz@anchor=\tikz@anchor@smuggle%
+}
+
+\def\tikz@auto@anchor{%
+ \ifdim\pgf@x>0.05pt%
+ \ifdim\pgf@y>0.05pt%
+ \def\tikz@anchor{south east}%
+ \else\ifdim\pgf@y<-0.05pt%
+ \def\tikz@anchor{south west}%
+ \else
+ \def\tikz@anchor{south}%
+ \fi\fi%
+ \else\ifdim\pgf@x<-0.05pt%
+ \ifdim\pgf@y>0.05pt%
+ \def\tikz@anchor{north east}%
+ \else\ifdim\pgf@y<-0.05pt%
+ \def\tikz@anchor{north west}%
+ \else
+ \def\tikz@anchor{north}%
+ \fi\fi%
+ \else%
+ \ifdim\pgf@y>0pt%
+ \def\tikz@anchor{east}%
+ \else%
+ \def\tikz@anchor{west}%
+ \fi%
+ \fi\fi%
+}
+
+\def\tikz@auto@anchor@prime{%
+ \ifdim\pgf@x>0.05pt%
+ \ifdim\pgf@y>0.05pt%
+ \def\tikz@anchor{north west}%
+ \else\ifdim\pgf@y<-0.05pt%
+ \def\tikz@anchor{north east}%
+ \else
+ \def\tikz@anchor{north}%
+ \fi\fi%
+ \else\ifdim\pgf@x<-0.05pt%
+ \ifdim\pgf@y>0.05pt%
+ \def\tikz@anchor{south west}%
+ \else\ifdim\pgf@y<-0.05pt%
+ \def\tikz@anchor{south east}%
+ \else
+ \def\tikz@anchor{south}%
+ \fi\fi%
+ \else%
+ \ifdim\pgf@y>0pt%
+ \def\tikz@anchor{west}%
+ \else%
+ \def\tikz@anchor{east}%
+ \fi%
+ \fi\fi%
+}
+
+
+
% Syntax for trees:
% node {...} child [options] {...} child [options] {...} ...
-% node {...} children [options] \var in {list} [options] {...} ...
+% node {...} child [options] foreach \var in {list} [options] {...} ...
\def\tikz@children{%
% Start collecting the children:
- \let\tikz@children@list=\@empty%
+ \let\tikz@children@list=\pgf@empty%
\tikznumberofchildren=0\relax%
\tikz@collect@children c}
-\def\tikz@collect@children{\@ifnextchar c{\tikz@collect@children@cchar}{\tikz@children@collected}}
-\def\tikz@collect@children@cchar c{\@ifnextchar h{\tikz@collect@child}{\tikz@children@collected c}}
-\def\tikz@collect@child hild{\@ifnextchar[{\tikz@collect@childA}{\tikz@collect@childA[]}}%}
-\def\tikz@collect@childA[#1]{\@ifnextchar f{\tikz@collect@children@foreach[#1]}{\tikz@collect@childB[#1]}}
+\def\tikz@collect@children{\pgf@ifnextchar c{\tikz@collect@children@cchar}{\tikz@children@collected}}
+\def\tikz@collect@children@cchar c{\pgf@ifnextchar h{\tikz@collect@child}{\tikz@children@collected c}}
+\def\tikz@collect@child hild{\pgf@ifnextchar[{\tikz@collect@childA}{\tikz@collect@childA[]}}%}
+\def\tikz@collect@childA[#1]{\pgf@ifnextchar f{\tikz@collect@children@foreach[#1]}{\tikz@collect@childB[#1]}}
\def\tikz@collect@childB[#1]{%
\advance\tikznumberofchildren by1\relax
\expandafter\def\expandafter\tikz@children@list\expandafter{\tikz@children@list \tikz@childnode[#1]}%
- \@ifnextchar\bgroup{\tikz@collect@child@code}{\tikz@collect@child@code{}}}
+ \pgf@ifnextchar\bgroup{\tikz@collect@child@code}{\tikz@collect@child@code{}}}
\def\tikz@collect@child@code#1{%
\expandafter\def\expandafter\tikz@children@list\expandafter{\tikz@children@list{#1}}%
\tikz@collect@children%
}
\def\tikz@collect@children@foreach[#1]foreach#2in#3{%
- \@ifnextchar\bgroup{\tikz@collect@children@foreachA{#1}{#2}{#3}}{\tikz@collect@children@foreachA{#1}{#2}{#3}{}}}
+ \pgf@ifnextchar\bgroup{\tikz@collect@children@foreachA{#1}{#2}{#3}}{\tikz@collect@children@foreachA{#1}{#2}{#3}{}}}
\def\tikz@collect@children@foreachA#1#2#3#4{%
\expandafter\def\expandafter\tikz@children@list\expandafter
{\tikz@children@list\tikz@childrennodes[#1]{#2}{#3}{#4}}%
@@ -2227,10 +2732,9 @@
\long\def\tikz@children@collected{%
\begingroup%
\advance\tikztreelevel by 1\relax%
- \let\tikz@options=\@empty%
- \let\tikz@transform=\@empty%
+ \let\tikz@options=\pgf@empty%
+ \let\tikz@transform=\pgf@empty%
\tikz@every@style{level \the\tikztreelevel}%
- \tikz@options%
\tikz@transform%
\let\tikzparentnode=\tikz@last@fig@name%
% Transform to center of node
@@ -2246,7 +2750,7 @@
% Syntax for children:
%
-% children [all children options] \var in {values} [child options] {...}
+% child [all children options] foreach \var in {values} [child options] {...}
\def\tikz@childrennodes[#1]#2#3#4{%
\c@pgf@counta=\tikznumberofcurrentchild\relax%
\setbox\tikz@tempbox=\box\tikz@figbox%
@@ -2280,8 +2784,7 @@
\hbox\bgroup\bgroup%
\pgfinterruptpath%
\pgfscope%
- \let\tikz@options=\@empty%
- \let\tikz@transform=\@empty%
+ \let\tikz@transform=\pgf@empty%
\tikz@every@style{every child}%
\tikz@setkeys{#1}%
\tikz@options%
@@ -2298,7 +2801,7 @@
\let\tikzchildnode=\tikz@childnode@name%
{%
\def\tikz@edge@to@parent@needed{edge from parent}
- \ifx\tikz@child@node@rest\@empty%
+ \ifx\tikz@child@node@rest\pgf@empty%
\path edge from parent;%
\else%
\path (0,0) \tikz@child@node@rest \tikz@edge@to@parent@needed;%
@@ -2311,31 +2814,31 @@
}
\def\tikz@parse@child@node{%
- \@ifnextchar n{\tikz@parse@child@node@n}%
- {\@ifnextchar c{\tikz@parse@child@node@c}%
+ \pgf@ifnextchar n{\tikz@parse@child@node@n}%
+ {\pgf@ifnextchar c{\tikz@parse@child@node@c}%
{\tikz@parse@child@node@rest}}}
\def\tikz@parse@child@node@rest#1\pgf@stop{\def\tikz@child@node@rest{#1}}
-\def\tikz@parse@child@node@c c{\@ifnextchar o{\tikz@parse@child@node@co}{\tikz@parse@child@node@rest c}}
-\def\tikz@parse@child@node@co o{\@ifnextchar o{\tikz@parse@child@node@coordinate}{\tikz@parse@child@node@rest co}}
+\def\tikz@parse@child@node@c c{\pgf@ifnextchar o{\tikz@parse@child@node@co}{\tikz@parse@child@node@rest c}}
+\def\tikz@parse@child@node@co o{\pgf@ifnextchar o{\tikz@parse@child@node@coordinate}{\tikz@parse@child@node@rest co}}
\def\tikz@parse@child@node@coordinate ordinate{%
- \@ifnextchar ({\tikz@@parse@child@node@coordinate}{%
+ \pgf@ifnextchar ({\tikz@@parse@child@node@coordinate}{%
\def\tikz@child@node@text{[shape=coordinate]{}}%
\tikz@parse@child@node@rest}}%}
\def\tikz@@parse@child@node@coordinate(#1){%
- \@ifnextchar a{\tikz@p@c@n@c@at(#1)}{%
+ \pgf@ifnextchar a{\tikz@p@c@n@c@at(#1)}{%
\def\tikz@child@node@text{[shape=coordinate,name=#1]{}}%
\tikz@parse@child@node@rest}}
\def\tikz@p@c@n@c@at(#1)at#2(#3){%
\def\tikz@child@node@text{[shape=coordinate,name=#1]at(#3){}}%
\tikz@parse@child@node@rest}%
\def\tikz@parse@child@node@n node{%
- \let\tikz@child@node@text=\@empty%
+ \let\tikz@child@node@text=\pgf@empty%
\tikz@p@c@s}%
\def\tikz@p@c@s{%
- \@ifnextchar a{\tikz@p@c@s@at}
- {\@ifnextchar ({\tikz@p@c@s@paran}
- {\@ifnextchar [{\tikz@p@c@s@bra}
- {\@ifnextchar \bgroup{\tikz@p@c@s@group}
+ \pgf@ifnextchar a{\tikz@p@c@s@at}
+ {\pgf@ifnextchar ({\tikz@p@c@s@paran}
+ {\pgf@ifnextchar [{\tikz@p@c@s@bra}
+ {\pgf@ifnextchar \bgroup{\tikz@p@c@s@group}
{\PackageError{tikz}{Cannot parse this node}{}}}}}}%}}
\def\tikz@p@c@s@at at#1(#2){%
\expandafter\def\expandafter\tikz@child@node@text\expandafter{\tikz@child@node@text at(#2)}
@@ -2368,7 +2871,7 @@
\pgf@xb=\tikz@time pt%
\pgf@xb=2\pgf@xb%
\edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}{\noexpand\tikz@timer@start}{%
- \noexpand\pgfpoint{\the\pgf@xa}{\the\pgf@y}}}%
+ \noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@y}}}%
\tikz@marshal%
\else% second half
\pgf@process{\tikz@timer@start}%
@@ -2379,7 +2882,7 @@
\pgf@xb=2\pgf@xb%
\advance\pgf@xb by-1pt%
\edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}%
- {\noexpand\pgfpoint{\the\pgf@xa}{\the\pgf@y}}{\noexpand\tikz@timer@end}}%
+ {\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@y}}{\noexpand\tikz@timer@end}}%
\tikz@marshal%
\fi%
}
@@ -2393,7 +2896,7 @@
\pgf@xb=\tikz@time pt%
\pgf@xb=2\pgf@xb%
\edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}{\noexpand\tikz@timer@start}{%
- \noexpand\pgfpoint{\the\pgf@x}{\the\pgf@ya}}}%
+ \noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@ya}}}%
\tikz@marshal%
\else% second half
\pgf@process{\tikz@timer@start}%
@@ -2404,7 +2907,7 @@
\pgf@xb=2\pgf@xb%
\advance\pgf@xb by-1pt%
\edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}%
- {\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@ya}}{\noexpand\tikz@timer@end}}%
+ {\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@ya}}{\noexpand\tikz@timer@end}}%
\tikz@marshal%
\fi%
}
@@ -2415,6 +2918,128 @@
+%
+% Coordinate systems
+%
+
+\def\tikzdeclarecoordinatesystem#1#2{%
+ \expandafter\def\csname tikz@parse@cs@#1\endcsname(##1){%
+ \pgf@process{%
+ #2%
+ % Smuggle outside:
+ \iftikz@shapeborder%
+ \global\let\tikz@smuggle@a=\tikz@shapebordertrue%
+ \else%
+ \global\let\tikz@smuggle@a=\tikz@shapeborderfalse%
+ \fi%
+ \global\let\tikz@smubble@b=\tikz@shapeborder@name%
+ }%
+ \tikz@smuggle@a%
+ \let\tikz@shapeborder@name=\tikz@smubble@b%
+ \edef\tikz@return@coordinate{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}%
+}
+\def\tikzaliascoordinatesystem#1#2{%
+ \edef\pgf@marshal{\noexpand\let\expandafter\noexpand\csname
+ tikz@parse@cs@#1\endcsname=\expandafter\noexpand\csname
+ tikz@parse@cs@#2\endcsname}%
+ \pgf@marshal%
+}
+
+
+% Default coodinate systems:
+
+\tikzdeclarecoordinatesystem{canvas}
+{%
+ \tikz@orig@setkeys{tikzcskeys}{x=0pt,y=0pt,#1}%
+ \pgfpoint{\tikz@cs@x}{\tikz@cs@y}%
+}
+
+\tikzdeclarecoordinatesystem{canvas polar}
+{%
+ \tikz@orig@setkeys{tikzcskeys}{angle=0,radius=0cm,#1}%
+ \pgfpointpolar{\tikz@cs@angle}{\tikz@cs@xradius/\tikz@cs@yradius}%
+}
+
+\tikzdeclarecoordinatesystem{xyz}
+{%
+ \tikz@orig@setkeys{tikzcskeys}{x=0,y=0,z=0,#1}%
+ \pgfpointxyz{\tikz@cs@x}{\tikz@cs@y}{\tikz@cs@z}%
+}
+
+\tikzdeclarecoordinatesystem{xyz polar}
+{%
+ \tikz@orig@setkeys{tikzcskeys}{angle=0,radius=0,#1}%
+ \pgfpointpolarxy{\tikz@cs@angle}{\tikz@cs@xradius/\tikz@cs@yradius}%
+}
+\tikzaliascoordinatesystem{xy polar}{xyz polar}
+
+
+\tikzdeclarecoordinatesystem{node}
+{%
+ \tikz@orig@setkeys{tikzcskeys}{name=,anchor=none,angle=none,#1}%
+ \ifx\tikz@cs@anchor\tikz@nonetext%
+ \ifx\tikz@cs@angle\tikz@nonetext%
+ \expandafter\ifx\csname pgf@sh@ns@\tikz@cs@node\endcsname\tikz@coordinate@text%
+ \else
+ \tikz@shapebordertrue%
+ \edef\tikz@shapeborder@name{\tikz@cs@node}%
+ \fi%
+ \pgfpointanchor{\tikz@cs@node}{center}%
+ \else%
+ \pgfpointanchor{\tikz@cs@node}{\tikz@cs@angle}%
+ \fi%
+ \else%
+ \pgfpointanchor{\tikz@cs@node}{\tikz@cs@anchor}%
+ \fi%
+}
+
+\tikzdeclarecoordinatesystem{intersection}
+{%
+ \tikz@orig@setkeys{tikzcskeys}{#1}%
+ \expandafter\tikz@@@scan@@absolute\expandafter\tikz@parse@intersection@a\tikz@cs@line@a@begin%
+ \expandafter\tikz@@@scan@@absolute\expandafter\tikz@parse@intersection@b\tikz@cs@line@a@end%
+ \expandafter\tikz@@@scan@@absolute\expandafter\tikz@parse@intersection@c\tikz@cs@line@b@begin%
+ \expandafter\tikz@@@scan@@absolute\expandafter\tikz@parse@intersection@d\tikz@cs@line@b@end%
+ \edef\pgf@marshal{%
+ {\noexpand\pgfpointintersectionoflines%
+ {\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}}%
+ {\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ {\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}}%
+ \pgf@marshal%
+}
+
+\tikzdeclarecoordinatesystem{perpendicular}
+{%
+ \tikz@orig@setkeys{tikzcskeys}{#1}%
+ \expandafter\tikz@@@scan@@absolute\expandafter\tikz@parse@intersection@a\tikz@cs@hori@line%
+ \expandafter\tikz@@@scan@@absolute\expandafter\tikz@parse@intersection@b\tikz@cs@vert@line%
+ \pgfqpoint{\the\pgf@xb}{\the\pgf@ya}
+}
+
+\tikz@orig@define@key{tikzcskeys}{x}{\def\tikz@cs@x{#1}}
+\tikz@orig@define@key{tikzcskeys}{y}{\def\tikz@cs@y{#1}}
+\tikz@orig@define@key{tikzcskeys}{z}{\def\tikz@cs@z{#1}}
+\tikz@orig@define@key{tikzcskeys}{angle}{\def\tikz@cs@angle{#1}}
+\tikz@orig@define@key{tikzcskeys}{radius}{\def\tikz@cs@xradius{#1}\def\tikz@cs@yradius{#1}}
+\tikz@orig@define@key{tikzcskeys}{x radius}{\def\tikz@cs@xradius{#1}}
+\tikz@orig@define@key{tikzcskeys}{y radius}{\def\tikz@cs@yradius{#1}}
+\tikz@orig@define@key{tikzcskeys}{name}{\def\tikz@cs@node{#1}}
+\tikz@orig@define@key{tikzcskeys}{anchor}{\def\tikz@cs@anchor{#1}}
+
+\tikz@orig@define@key{tikzcskeys}{first line}{\tikz@parse@cs@line{tikz@cs@line@a}#1}
+\tikz@orig@define@key{tikzcskeys}{second line}{\tikz@parse@cs@line{tikz@cs@line@b}#1}
+
+\def\tikz@parse@cs@line#1(#2)--(#3){%
+ \expandafter\def\csname #1@begin\endcsname{(#2)}%
+ \expandafter\def\csname #1@end\endcsname{(#3)}%
+}
+
+\tikz@orig@define@key{tikzcskeys}{horizontal line through}{\def\tikz@cs@hori@line{#1}}
+\tikz@orig@define@key{tikzcskeys}{vertical line through}{\def\tikz@cs@vert@line{#1}}
+
+
+
%
% Coordinate management
@@ -2422,8 +3047,8 @@
% Last position visited
-\def\tikz@last@position{\pgfpoint{\tikz@lastx}{\tikz@lasty}}
-\def\tikz@last@position@saved{\pgfpoint{\tikz@lastxsaved}{\tikz@lastysaved}}
+\def\tikz@last@position{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}
+\def\tikz@last@position@saved{\pgfqpoint{\tikz@lastxsaved}{\tikz@lastysaved}}
% Make given point the last position visited
\def\tikz@make@last@position#1{%
@@ -2447,16 +3072,17 @@
% appropriate pgf command representing that point.
\def\tikz@scan@one@point#1{%
+ \let\tikz@to@use@whom=\tikz@to@use@last@coordinate%
\tikz@shapeborderfalse%
- \@ifnextchar+{\tikz@scan@relative#1}{\tikz@scan@absolute#1}}
+ \pgf@ifnextchar+{\tikz@scan@relative#1}{\tikz@scan@absolute#1}}
\def\tikz@scan@absolute#1{%
- \@ifnextchar({\tikz@scan@@absolute#1}%)
+ \pgf@ifnextchar({\tikz@scan@@absolute#1}%)
{%
\advance\tikz@expandcount by -1%
\ifnum\tikz@expandcount<0\relax%
\let\@next=\tikz@@scangiveup%
\else%
- \let\@next=\tikz@@scanexpand
+ \let\@next=\tikz@@scanexpand%
\fi%
\@next{#1}%
}%
@@ -2468,7 +3094,7 @@
\expandafter\tikz@@scan@@absolute\expandafter#1\tikz@temp%
}
\def\tikz@@scan@@absolute#1({%
- \@ifnextchar[% uhoh... options!
+ \pgf@ifnextchar[% uhoh... options!
{\def\tikz@scan@point@recall{#1}\tikz@scan@options}%
{\tikz@@@scan@@absolute#1(}%
}
@@ -2483,11 +3109,11 @@
% Ok, compute point with options set and zero transformation
% matrix:
\pgftransformreset%
- \let\tikz@transform=\@empty%
+ \let\tikz@transform=\pgf@empty%
\expandafter\tikz@setkeys\expandafter{\tikz@scan@point@options}%
\tikz@transform%
\pgf@process{\pgfpointtransformed{#1}}%
- \xdef\tikz@marshal{\expandafter\noexpand\tikz@scan@point@recall{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}}%
+ \xdef\tikz@marshal{\expandafter\noexpand\tikz@scan@point@recall{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}%
}%
\tikz@marshal%
}
@@ -2506,15 +3132,20 @@
\let\@next\tikz@parse@vh%
\fi%
\else%
- \in@:{#2}%
- \ifin@
- \let\@next\tikz@parse@polar%
+ \in@{cs:}{#2}%
+ \ifin@%
+ \let\@next\tikz@parse@coordinatesystem%
\else%
- \in@,{#2}%
- \ifin@%
- \let\@next\tikz@parse@regular%
+ \in@:{#2}%
+ \ifin@
+ \let\@next\tikz@parse@polar%
\else%
- \let\@next\tikz@parse@node%
+ \in@,{#2}%
+ \ifin@%
+ \let\@next\tikz@parse@regular%
+ \else%
+ \let\@next\tikz@parse@node%
+ \fi%
\fi%
\fi%
\fi%
@@ -2522,23 +3153,47 @@
\@next#1(#2)%
}
+\def\tikz@parse@coordinatesystem#1(#2 cs:#3){%
+ \let\tikz@return@coordinate=\pgfpointorigin%
+ \pgf@ifundefined{tikz@parse@cs@#2}
+ {\PackageError{tikz}{Unknown coordinate system '#2'}{}}
+ {\csname tikz@parse@cs@#2\endcsname(#3)}%
+ \expandafter#1\expandafter{\tikz@return@coordinate}%
+}
+
+
\newif\iftikz@isdimension
\def\tikz@checkunit#1{%
\@tempdima\z@%
\afterassignment\tikz@@checkunit%
\@tempdima#1\@tempdima\tikz@unique%
}
-\def\tikz@@checkunit{\@ifnextchar\tikz@unique{\tikz@checkunit@number}{\tikz@checkunit@dimension}}
+\def\tikz@@checkunit{\pgf@ifnextchar\tikz@unique{\tikz@checkunit@number}{\tikz@checkunit@dimension}}
\def\tikz@checkunit@number\tikz@unique{\tikz@isdimensionfalse}
\def\tikz@checkunit@dimension#1\tikz@unique{\tikz@isdimensiontrue}
\def\tikz@parse@polar#1(#2:#3){%
- \@ifundefined{tikz@polar@dir@#2}
- {#1{\pgfpointpolar{#2}{#3}}}
- {%
- \edef\tikz@marshal{\noexpand#1{\noexpand\pgfpointpolar{\csname tikz@polar@dir@#2\endcsname}{#3}}}%
- \tikz@marshal%
- }%
+ \pgf@ifundefined{tikz@polar@dir@#2}
+ {\tikz@@parse@polar#1(#2:#3)}
+ {\tikz@@parse@polar#1(\csname tikz@polar@dir@#2\endcsname:#3)}%
+}
+\def\tikz@@parse@polar#1(#2:#3){%
+ \in@{ and }{#3}%
+ \ifin@%
+ \edef\tikz@args{(#2:#3)}%
+ \else%
+ \edef\tikz@args{(#2:#3 and #3)}%
+ \fi%
+ \expandafter\tikz@@@parse@polar\expandafter#1\tikz@args%
+}
+\def\tikz@@@parse@polar#1(#2:#3 and #4){%
+ \tikz@checkunit{#3}%
+ \iftikz@isdimension%
+ \def\tikz@next{#1{\pgfpointpolar{#2}{#3/#4}}}%
+ \else%
+ \def\tikz@next{#1{\pgfpointpolarxy{#2}{#3/#4}}}%
+ \fi%
+ \tikz@next%
}
\def\tikz@polar@dir@up{90}
\def\tikz@polar@dir@down{-90}
@@ -2587,7 +3242,7 @@
\def\tikz@shapeborder@name{#2}%
\fi%
\fi%
- \edef\tikz@marshal{\noexpand#1{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}}%
+ \edef\tikz@marshal{\noexpand#1{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}%
\tikz@marshal%
}
@@ -2644,7 +3299,7 @@
{%
\tikz@@@scan@@absolute\tikz@parse@vh@mid(#2)%
\tikz@@@scan@@absolute\tikz@parse@vh@end(#3)%
- \xdef\tikz@marshal{\noexpand#1{\noexpand\pgfpoint{\the\pgf@xa}{\the\pgf@ya}}}%
+ \xdef\tikz@marshal{\noexpand#1{\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}}}%
}%
\tikz@shapeborderfalse%
\tikz@marshal%
@@ -2659,10 +3314,10 @@
\tikz@@@scan@@absolute\tikz@parse@intersection@c(#4)%
\tikz@@@scan@@absolute\tikz@parse@intersection@d(#5)%
\xdef\tikz@marshal{\noexpand#1{\noexpand\pgfpointintersectionoflines%
- {\noexpand\pgfpoint{\the\pgf@xa}{\the\pgf@ya}}%
- {\noexpand\pgfpoint{\the\pgf@xb}{\the\pgf@yb}}%
- {\noexpand\pgfpoint{\the\pgf@xc}{\the\pgf@yc}}%
- {\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}}}%
+ {\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}}%
+ {\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ {\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}}%
}%
\tikz@shapeborderfalse%
\tikz@marshal%
@@ -2674,7 +3329,7 @@
\def\tikz@parse@intersection@d#1{\pgf@process{#1}}
\def\tikz@scan@relative#1+{%
- \@ifnextchar+{\tikz@scan@plusplus#1}{\tikz@scan@oneplus#1}}
+ \pgf@ifnextchar+{\tikz@scan@plusplus#1}{\tikz@scan@oneplus#1}}
\def\tikz@scan@plusplus#1+{%
\def\tikz@doafter{#1}%
@@ -2690,4 +3345,51 @@
}
+
+% Loading further libraries
+
+% Include a library file.
+%
+% #1 = List of names of library file.
+%
+% Description:
+%
+% This command includes a list of TikZ library files. For each file X in the
+% list, the file pgflibrarytikzX.code.tex is included, provided this has
+% not been done earlier.
+%
+% For the convenience of Context users, both round and square brackets
+% are possible for the argument.
+%
+% Example:
+%
+% \usetikzlibrary{arrows}
+% \usetikzlibrary[patterns,topaths]
+
+\def\usetikzlibrary{\pgf@ifnextchar[{\use@tikzlibrary}{\use@@tikzlibrary}}%}
+\def\use@tikzlibrary[#1]{\use@@tikzlibrary{#1}}
+\def\use@@tikzlibrary#1{%
+ \edef\pgf@list{#1}%
+ \@for\pgf@temp:=\pgf@list\do{%
+ \expandafter\ifx\csname tikz@library@\pgf@temp @loaded\endcsname\relax%
+ \expandafter\global\expandafter\let\csname tikz@library@\pgf@temp @loaded\endcsname=\pgf@empty%
+ \expandafter\edef\csname tikz@library@#1@atcode\endcsname{\the\catcode`\@}
+ \expandafter\edef\csname tikz@library@#1@barcode\endcsname{\the\catcode`\|}
+ \catcode`\@=11
+ \catcode`\|=12
+ \input pgflibrarytikz\pgf@temp.code.tex
+ \catcode`\@=\csname tikz@library@#1@atcode\endcsname
+ \catcode`\|=\csname tikz@library@#1@barcode\endcsname
+ \fi%
+ }%
+}
+
+
+% Always-present libraries:
+
+\usetikzlibrary{topaths}
+
+
+
+
\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex
index e953e2d28b1..a0b9a108d60 100644
--- a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex
@@ -1,9 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibraryarrows.code.tex,v 1.2 2005/07/06 15:58:57 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibraryarrows.code.tex,v 1.5 2006/10/11 15:22:26 tantau Exp $
% A square bracket shaped arrow
@@ -703,6 +707,38 @@
\pgfarrowsdeclarereversed{hooks reversed}{hooks reversed}{hooks}{hooks}
+% An arrow that looks like a serif of the computer modern font
+
+\pgfarrowsdeclare{serif cm}{serif cm}
+{
+ \@tempdima=0.4pt%
+ \advance\@tempdima by.45\pgflinewidth%
+ \pgfarrowsleftextend{-.75\@tempdima}
+ \pgfarrowsrightextend{.04\pgflinewidth}
+}
+{
+ \@tempdima=0.4pt%
+ \advance\@tempdima by.45\pgflinewidth%
+ \pgftransformxshift{.04\pgflinewidth}
+ \pgfpathmoveto{\pgfpoint{-.75\@tempdima}{.5\pgflinewidth}}
+ \pgfpathcurveto
+ {\pgfpoint{-.375\@tempdima}{.5\pgflinewidth}}
+ {\pgfpoint{-.375\@tempdima}{.7\pgflinewidth}}
+ {\pgfpoint{-.375\@tempdima}{1.95\@tempdima}}
+ \pgfpathlineto{\pgfpoint{0pt}{1.95\@tempdima}}
+ \pgfpathcurveto
+ {\pgfpoint{-.04\pgflinewidth}{.5\@tempdima}}
+ {\pgfpoint{-.04\pgflinewidth}{-.5\@tempdima}}
+ {\pgfpoint{0pt}{-1.95\@tempdima}}
+ \pgfpathlineto{\pgfpoint{-.375\@tempdima}{-1.95\@tempdima}}
+ \pgfpathcurveto
+ {\pgfpoint{-.375\@tempdima}{-.7\pgflinewidth}}
+ {\pgfpoint{-.375\@tempdima}{-.5\pgflinewidth}}
+ {\pgfpoint{-.75\@tempdima}{-.5\pgflinewidth}}
+ \pgfpathclose
+ \pgfusepathqfill
+}
+
% Round cap
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryautomata.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryautomata.code.tex
deleted file mode 100644
index be801d0a7df..00000000000
--- a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryautomata.code.tex
+++ /dev/null
@@ -1,189 +0,0 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibraryautomata.code.tex,v 1.1 2005/10/13 10:12:31 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
-\newbox\pgfnodepartoutputbox
-
-
-
-%
-% Node for states without output. This is just an alias for a circle
-% node.
-%
-\pgfdeclareshape{state}
-{
- \inheritsavedanchors[from=circle] % this is a circle
- \inheritanchorborder[from=circle]
- \inheritanchor[from=circle]{north}
- \inheritanchor[from=circle]{north west}
- \inheritanchor[from=circle]{north east}
- \inheritanchor[from=circle]{center}
- \inheritanchor[from=circle]{west}
- \inheritanchor[from=circle]{east}
- \inheritanchor[from=circle]{mid}
- \inheritanchor[from=circle]{mid west}
- \inheritanchor[from=circle]{mid east}
- \inheritanchor[from=circle]{base}
- \inheritanchor[from=circle]{base west}
- \inheritanchor[from=circle]{base east}
- \inheritanchor[from=circle]{south}
- \inheritanchor[from=circle]{south west}
- \inheritanchor[from=circle]{south east}
- \inheritbackgroundpath[from=circle]
-}
-
-
-%
-% Moore state node (a state with output).
-%
-% This node consists of two parts: The main part is the state
-% name. The second part is the (optional) state output. This output is
-% shown in the lower half of the node.
-%
-% Parts: text (=state name), output
-
-\pgfdeclareshape{state with output}
-{
- %
- % Node parts
- %
- \nodeparts{text,output}
-
- %
- % Anchors
- %
- \savedanchor\centerpoint{%
- \pgf@x=.5\wd\pgfnodeparttextbox%
- \setlength{\pgf@y}{\pgfshapeinnerysep}%
- \pgf@y=-\pgf@y%
- \advance\pgf@y by-\dp\pgfnodeparttextbox%
- \advance\pgf@y by-.5\pgflinewidth%
- }%
- \savedanchor\outputanchor{%
- \pgf@x=-.5\wd\pgfnodepartoutputbox%
- \advance\pgf@x by.5\wd\pgfnodeparttextbox%
- \setlength{\pgf@y}{\pgfshapeinnerysep}%
- \pgf@y=-2\pgf@y%
- \advance\pgf@y by-\ht\pgfnodepartoutputbox%
- \advance\pgf@y by-.5\pgflinewidth%
- \advance\pgf@y by-\dp\pgfnodeparttextbox%
- \advance\pgf@y by-.5\pgflinewidth%
- }
-
- \saveddimen\radius{%
- %
- % Caculate ``height radius''
- %
- \pgf@ya=.5\ht\pgfnodeparttextbox%
- \advance\pgf@ya by.5\dp\pgfnodeparttextbox%
- \advance\pgf@ya by.5\ht\pgfnodepartoutputbox%
- \advance\pgf@ya by.5\dp\pgfnodepartoutputbox%
- \advance\pgf@ya by.5\pgflinewidth%
- \setlength\pgf@yb{\pgfshapeinnerysep}%
- \advance\pgf@ya by2\pgf@yb%
- %
- % Caculate ``width radius''
- %
- \pgf@xa=.5\wd\pgfnodeparttextbox%
- \ifdim\pgf@xa<.5\wd\pgfnodepartoutputbox%
- \pgf@xa=.5\wd\pgfnodepartoutputbox%
- \fi%
- \setlength\pgf@xb{\pgfshapeinnerxsep}%
- \advance\pgf@xa by\pgf@xb%
- %
- % Calculate length of radius vector:
- %
- \pgf@process{\pgfpointnormalised{\pgfpoint{\pgf@xa}{\pgf@ya}}}%
- \ifdim\pgf@x>\pgf@y%
- \c@pgf@counta=\pgf@x%
- \ifnum\c@pgf@counta=0\relax%
- \else%
- \divide\c@pgf@counta by 255\relax%
- \pgf@xa=16\pgf@xa\relax%
- \divide\pgf@xa by\c@pgf@counta%
- \pgf@xa=16\pgf@xa\relax%
- \fi%
- \else%
- \c@pgf@counta=\pgf@y%
- \ifnum\c@pgf@counta=0\relax%
- \else%
- \divide\c@pgf@counta by 255\relax%
- \pgf@ya=16\pgf@ya\relax%
- \divide\pgf@ya by\c@pgf@counta%
- \pgf@xa=16\pgf@ya\relax%
- \fi%
- \fi%
- \pgf@x=\pgf@xa%
- %
- % If necessary, adjust radius so that the size requirements are
- % met:
- %
- \setlength{\pgf@xb}{\pgfshapeminwidth}%
- \setlength{\pgf@yb}{\pgfshapeminheight}%
- \ifdim\pgf@x<.5\pgf@xb%
- \pgf@x=.5\pgf@xb%
- \fi%
- \ifdim\pgf@x<.5\pgf@yb%
- \pgf@x=.5\pgf@yb%
- \fi%
- %
- % Now, add larger of outer sepearations.
- %
- \setlength{\pgf@xb}{\pgfshapeouterxsep}%
- \setlength{\pgf@yb}{\pgfshapeouterysep}%
- \ifdim\pgf@xb<\pgf@yb%
- \advance\pgf@x by\pgf@yb%
- \else%
- \advance\pgf@x by\pgf@xb%
- \fi%
- }
-
- %
- % Anchors
- %
- \inheritanchorborder[from=circle]
- \inheritanchor[from=circle]{north}
- \inheritanchor[from=circle]{north west}
- \inheritanchor[from=circle]{north east}
- \inheritanchor[from=circle]{center}
- \inheritanchor[from=circle]{west}
- \inheritanchor[from=circle]{east}
- \inheritanchor[from=circle]{mid}
- \inheritanchor[from=circle]{mid west}
- \inheritanchor[from=circle]{mid east}
- \inheritanchor[from=circle]{base}
- \inheritanchor[from=circle]{base west}
- \inheritanchor[from=circle]{base east}
- \inheritanchor[from=circle]{south}
- \inheritanchor[from=circle]{south west}
- \inheritanchor[from=circle]{south east}
- \anchor{output}{\outputanchor}
-
- %
- % Background path
- %
- \inheritbackgroundpath[from=circle]
- \beforebackgroundpath{
- \@tempdima=\radius%
- \setlength{\pgf@xb}{\pgfshapeouterxsep}%
- \setlength{\pgf@yb}{\pgfshapeouterysep}%
- \ifdim\pgf@xb<\pgf@yb%
- \advance\@tempdima by-\pgf@yb%
- \else%
- \advance\@tempdima by-\pgf@xb%
- \fi%
- \advance\@tempdima by-.5\pgflinewidth%
- \pgfsetarrows{-}%
- \pgfpathmoveto{\pgfpointadd{\centerpoint}{\pgfpoint{-\@tempdima}{0pt}}}%
- \pgfpathlineto{\pgfpointadd{\centerpoint}{\pgfpoint{\@tempdima}{0pt}}}%
- \pgfusepath{stroke}%
- }
-}
-
-
-
-
-\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarypatterns.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarypatterns.code.tex
new file mode 100644
index 00000000000..aebb9fb5ce6
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarypatterns.code.tex
@@ -0,0 +1,140 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarypatterns.code.tex,v 1.7 2006/10/11 15:22:26 tantau Exp $
+
+
+% Lines in different directions
+
+\pgfdeclarepatternformonly{horizontal lines}{\pgfpointorigin}{\pgfpoint{100pt}{1pt}}{\pgfpoint{100pt}{3pt}}%
+{
+ \pgfsetlinewidth{0.4pt}
+ \pgfpathmoveto{\pgfpoint{0pt}{0.5pt}}
+ \pgfpathlineto{\pgfpoint{100pt}{0.5pt}}
+ \pgfusepath{stroke}
+}
+
+\pgfdeclarepatternformonly{vertical lines}{\pgfpointorigin}{\pgfpoint{1pt}{100pt}}{\pgfpoint{3pt}{100pt}}%
+{
+ \pgfsetlinewidth{0.4pt}
+ \pgfpathmoveto{\pgfpoint{0.5pt}{0pt}}
+ \pgfpathlineto{\pgfpoint{0.5pt}{100pt}}
+ \pgfusepath{stroke}
+}
+
+\pgfdeclarepatternformonly{north east lines}{\pgfpoint{-1pt}{-1pt}}{\pgfpoint{4pt}{4pt}}{\pgfpoint{3pt}{3pt}}%
+{
+ \pgfsetlinewidth{0.4pt}
+ \pgfpathmoveto{\pgfpoint{0pt}{0pt}}
+ \pgfpathlineto{\pgfpoint{3.1pt}{3.1pt}}
+ \pgfusepath{stroke}
+}
+
+\pgfdeclarepatternformonly{north west lines}{\pgfpoint{-1pt}{-1pt}}{\pgfpoint{4pt}{4pt}}{\pgfpoint{3pt}{3pt}}%
+{
+ \pgfsetlinewidth{0.4pt}
+ \pgfpathmoveto{\pgfpoint{0pt}{3pt}}
+ \pgfpathlineto{\pgfpoint{3.1pt}{-0.1pt}}
+ \pgfusepath{stroke}
+}
+
+% Crossed lines in different directions
+
+\pgfdeclarepatternformonly{grid}{\pgfpoint{-1pt}{-1pt}}{\pgfpoint{4pt}{4pt}}{\pgfpoint{3pt}{3pt}}%
+{
+ \pgfsetlinewidth{0.4pt}
+ \pgfpathmoveto{\pgfpoint{0pt}{0pt}}
+ \pgfpathlineto{\pgfpoint{0pt}{3.1pt}}
+ \pgfpathmoveto{\pgfpoint{0pt}{0pt}}
+ \pgfpathlineto{\pgfpoint{3.1pt}{0pt}}
+ \pgfusepath{stroke}
+}
+
+\pgfdeclarepatternformonly{crosshatch}{\pgfpoint{-1pt}{-1pt}}{\pgfpoint{4pt}{4pt}}{\pgfpoint{3pt}{3pt}}%
+{
+ \pgfsetlinewidth{0.4pt}
+ \pgfpathmoveto{\pgfpoint{3.1pt}{0pt}}
+ \pgfpathlineto{\pgfpoint{0pt}{3.1pt}}
+ \pgfpathmoveto{\pgfpoint{0pt}{0pt}}
+ \pgfpathlineto{\pgfpoint{3.1pt}{3.1pt}}
+ \pgfusepath{stroke}
+}
+
+
+% Dotted regions
+
+\pgfdeclarepatternformonly{dots}{\pgfpoint{-1pt}{-1pt}}{\pgfpoint{1pt}{1pt}}{\pgfpoint{3pt}{3pt}}%
+{
+ \pgfpathcircle{\pgfpoint{0pt}{0pt}}{.5pt}
+ \pgfusepath{fill}
+}
+
+\pgfdeclarepatternformonly{crosshatch dots}{\pgfpoint{-1pt}{-1pt}}{\pgfpoint{2.5pt}{2.5pt}}{\pgfpoint{3pt}{3pt}}%
+{
+ \pgfpathcircle{\pgfpoint{0pt}{0pt}}{.5pt}
+ \pgfpathcircle{\pgfpoint{1.5pt}{1.5pt}}{.5pt}
+ \pgfusepath{fill}
+}
+
+
+
+
+% Star shaped patterns
+
+\pgfdeclarepatternformonly{fivepointed stars}{\pgfpointorigin}{\pgfpoint{3mm}{3mm}}{\pgfpoint{3mm}{3mm}}%
+{
+ \pgftransformshift{\pgfpoint{1mm}{1mm}}
+ \pgfpathmoveto{\pgfpointpolar{18}{1mm}}
+ \pgfpathlineto{\pgfpointpolar{162}{1mm}}
+ \pgfpathlineto{\pgfpointpolar{306}{1mm}}
+ \pgfpathlineto{\pgfpointpolar{90}{1mm}}
+ \pgfpathlineto{\pgfpointpolar{234}{1mm}}
+ \pgfpathclose%
+ \pgfusepath{fill}
+}
+
+\pgfdeclarepatternformonly{sixpointed stars}{\pgfpointorigin}{\pgfpoint{3mm}{3mm}}{\pgfpoint{3mm}{3mm}}%
+{
+ \pgftransformshift{\pgfpoint{1mm}{1mm}}
+ \pgfpathmoveto{\pgfpointpolar{30}{1mm}}
+ \pgfpathlineto{\pgfpointpolar{150}{1mm}}
+ \pgfpathlineto{\pgfpointpolar{270}{1mm}}
+ \pgfpathclose%
+ \pgfpathmoveto{\pgfpointpolar{-30}{1mm}}
+ \pgfpathlineto{\pgfpointpolar{-270}{1mm}}
+ \pgfpathlineto{\pgfpointpolar{-150}{1mm}}
+ \pgfpathclose%
+ \pgfsetnonzerorule
+ \pgfusepath{fill}
+}
+
+
+
+% Bricks
+
+\pgfdeclarepatternformonly{bricks}{\pgfpoint{-1pt}{-1pt}}{\pgfpoint{5mm}{5mm}}{\pgfpoint{4mm}{4mm}}%
+{
+ \pgfsetlinewidth{0.8pt}
+ \pgfpathmoveto{\pgfpoint{0mm}{1mm}}
+ \pgfpathlineto{\pgfpoint{4mm}{1mm}}
+ \pgfpathmoveto{\pgfpoint{0mm}{3mm}}
+ \pgfpathlineto{\pgfpoint{4mm}{3mm}}
+ \pgfpathmoveto{\pgfpoint{1mm}{0mm}}
+ \pgfpathlineto{\pgfpoint{1mm}{1mm}}
+ \pgfpathmoveto{\pgfpoint{3mm}{1mm}}
+ \pgfpathlineto{\pgfpoint{3mm}{3mm}}
+ \pgfpathmoveto{\pgfpoint{1mm}{3mm}}
+ \pgfpathlineto{\pgfpoint{1mm}{4mm}}
+ \pgfusepath{stroke}
+}
+
+
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex
index 7bbaa4b24bb..afd5f3509b4 100644
--- a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex
@@ -1,10 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibraryplothandlers.code.tex,v 1.3 2005/07/06 15:58:57 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibraryplothandlers.code.tex,v 1.7 2006/10/11 15:22:26 tantau Exp $
\newif\ifpgf@plot@started
@@ -23,7 +26,7 @@
\def\pgfplothandlercurveto{%
\def\pgf@plotstreamstart{%
\global\let\pgf@plotstreampoint=\pgf@plot@curveto@handler@initial%
- \global\let\pgf@plotstreamspecial=\@gobble%
+ \global\let\pgf@plotstreamspecial=\pgf@gobble%
\global\let\pgf@plotstreamend=\pgf@plot@curveto@handler@finish%
\global\pgf@plot@startedfalse%
}%
@@ -113,7 +116,7 @@
\def\pgfplothandlerclosedcurve{%
\def\pgf@plotstreamstart{%
\global\let\pgf@plotstreampoint=\pgf@plot@closedcurve@handler@initial%
- \global\let\pgf@plotstreamspecial=\@gobble%
+ \global\let\pgf@plotstreamspecial=\pgf@gobble%
\global\let\pgf@plotstreamend=\pgf@plot@closedcurve@handler@finish%
}%
}
@@ -276,7 +279,7 @@
\def\pgfplothandlerxcomb{%
\def\pgf@plotstreamstart{%
\global\let\pgf@plotstreampoint=\pgf@plot@xcomb@handler%
- \global\let\pgf@plotstreamspecial=\@gobble%
+ \global\let\pgf@plotstreamspecial=\pgf@gobble%
\global\let\pgf@plotstreamend=\relax%
}%
}
@@ -302,7 +305,7 @@
\def\pgfplothandlerycomb{%
\def\pgf@plotstreamstart{%
\global\let\pgf@plotstreampoint=\pgf@plot@ycomb@handler%
- \global\let\pgf@plotstreamspecial=\@gobble%
+ \global\let\pgf@plotstreamspecial=\pgf@gobble%
\global\let\pgf@plotstreamend=\relax%
}%
}
@@ -331,7 +334,7 @@
\def\pgfplothandlerpolarcomb{%
\def\pgf@plotstreamstart{%
\global\let\pgf@plotstreampoint=\pgf@plot@polarcomb@handler%
- \global\let\pgf@plotstreamspecial=\@gobble%
+ \global\let\pgf@plotstreamspecial=\pgf@gobble%
\global\let\pgf@plotstreamend=\relax%
}%
}
@@ -359,19 +362,86 @@
% \pgfplotxyfile{mytable}
\def\pgfplothandlermark#1{%
+ \pgf@plothandlermark{%
+ \ifnum\pgf@plot@mark@count<\pgf@plot@mark@repeat\relax%
+ \else%
+ \global\pgf@plot@mark@count=0\relax%
+ #1%
+ \fi%
+ }%
+}
+
+\newcount\pgf@plot@mark@count
+\def\pgf@plot@mark@phase{0}
+
+\def\pgf@plothandlermark#1{%
\def\pgf@plot@mark{#1}%
\def\pgf@plotstreamstart{%
+ \global\pgf@plot@mark@count=\pgf@plot@mark@repeat\relax%
+ \global\advance\pgf@plot@mark@count by-\pgf@plot@mark@phase\relax%
\global\let\pgf@plotstreampoint=\pgf@plot@mark@handler%
- \global\let\pgf@plotstreamspecial=\@gobble%
+ \global\let\pgf@plotstreamspecial=\pgf@gobble%
\global\let\pgf@plotstreamend=\relax%
}%
}
\def\pgf@plot@mark@handler#1{%
+ \global\advance\pgf@plot@mark@count by1\relax%
{\pgftransformshift{#1}\pgf@plot@mark}%
}
+% Set the repeat count for marks. For example, if 3 is given as a
+% value, only every third point will get a mark.
+%
+% #1 = repeat count
+%
+% Example:
+%
+% \pgfsetplotmarkrepeat{2}
+
+\def\pgfsetplotmarkrepeat#1{\def\pgf@plot@mark@repeat{#1}}
+\pgfsetplotmarkrepeat{1}
+
+
+% Set the phase for marks. For example, if 3 is the repeat and 3 is
+% the phase, already the first point will be marked.
+%
+% #1 = the index of the first point that should be marked.
+%
+% Example:
+%
+% \pgfsetplotmarkphase{3}
+
+\def\pgfsetplotmarkphase#1{\def\pgf@plot@mark@phase{#1}}
+\pgfsetplotmarkphase{1}
+
+
+
+% This handler draws a given mark at those points whose number is
+% given in the (pgffor-like) list.
+%
+% #1 = some code to be executed at each point (with the coordinate
+% system translated to that point).
+% Typically, this code will be \pgfuseplotmark{whatever}.
+% #2 = list of positions like "1,2,4,...,9,10"
+%
+% Example:
+%
+% \pgfplothandlermarklisted{\pgfuseplotmark{*}}{1,2,4,...,9}
+% \pgfplotxyfile{mytable}
+
+\def\pgfplothandlermarklisted#1#2{%
+ \let\pgf@plot@mark@list=\pgf@empty%
+ \edef\pgf@marshal{\noexpand\foreach\noexpand\pgf@temp in{#2}}
+ \pgf@marshal{\xdef\pgf@plot@mark@list{\pgf@plot@mark@list(\pgf@temp)}}%
+ \pgf@plothandlermark{%
+ \edef\pgf@marshal{\noexpand\in@{(\the\pgf@plot@mark@count)}{\pgf@plot@mark@list}}%
+ \pgf@marshal%
+ \ifin@#1\fi}%
+}
+
+
% Define a new plot mark for use with \pgfplotmark.
%
% #1 = a plot mark mnemonic
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryplotmarks.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryplotmarks.code.tex
index 760998738b4..a821e6f65cf 100644
--- a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryplotmarks.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryplotmarks.code.tex
@@ -1,9 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibraryplotmarks.code.tex,v 1.2 2005/07/06 15:58:57 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibraryplotmarks.code.tex,v 1.4 2006/10/11 15:22:26 tantau Exp $
% A stroked circle mark
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryshapes.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryshapes.code.tex
index 2c777ef5504..a6965b60e3b 100644
--- a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryshapes.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibraryshapes.code.tex
@@ -1,10 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibraryshapes.code.tex,v 1.5 2005/10/13 10:12:31 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibraryshapes.code.tex,v 1.9 2006/10/11 15:22:26 tantau Exp $
\pgfdeclareshape{ellipse}
%
@@ -191,6 +194,293 @@
}
+
+
+% Set the recommended shape aspect ratio
+%
+% #1 = aspect ratio
+%
+% Example:
+%
+% \pgfsetshapeminwidth{1.5}
+
+\def\pgfsetshapeaspect#1{%
+ \def\pgfshapeaspect{#1}%
+ % Invert
+ \@tempdima=#1pt%
+ \@tempdima=.125\@tempdima%
+ \c@pgf@counta=\@tempdima\relax% 8192*determinant
+ \@tempdima=8192pt%
+ \divide\@tempdima by\c@pgf@counta%
+ \edef\pgfshapeaspectinverse{\pgf@sys@tonumber{\@tempdima}}
+}
+\pgfsetshapeaspect{1}
+
+
+
+\pgfdeclareshape{diamond}
+{
+ \savedanchor\outernortheast{%
+ %
+ % Calculate width and height of the inner rectangle
+ %
+ \pgf@xa=.5\wd\pgfnodeparttextbox%
+ \setlength\pgf@xc{\pgfshapeinnerxsep}%
+ \advance\pgf@xa by\pgf@xc%
+ \pgf@ya=.5\ht\pgfnodeparttextbox%
+ \advance\pgf@ya by.5\dp\pgfnodeparttextbox%
+ \setlength\pgf@yc{\pgfshapeinnerysep}%
+ \advance\pgf@ya by\pgf@yc%
+ %
+ % Calculate width and height of diamond
+ %
+ \pgf@x=\pgf@xa%
+ \advance\pgf@x by\pgfshapeaspect\pgf@ya%
+ \pgf@y=\pgfshapeaspectinverse\pgf@xa%
+ \advance\pgf@y by\pgf@ya%
+ %
+ % Check against minimum height/width
+ %
+ \setlength\pgf@xb{\pgfshapeminwidth}%
+ \ifdim\pgf@x<\pgf@xb%
+ % yes, too small. Enlarge...
+ \pgf@x=\pgf@xb%
+ \fi%
+ \setlength\pgf@yb{\pgfshapeminheight}%
+ \ifdim\pgf@y<\pgf@yb%
+ % yes, too small. Enlarge...
+ \pgf@y=\pgf@yb%
+ \fi%
+ %
+ % Add outer border
+ %
+ \setlength\pgf@xa{\pgfshapeouterxsep}%
+ \advance\pgf@x by\pgf@xa%
+ \setlength\pgf@ya{\pgfshapeouterysep}%
+ \advance\pgf@y by\pgf@ya%
+ }
+ \savedanchor\text{%
+ \pgf@x=-.5\wd\pgfnodeparttextbox%
+ \pgf@y=-.5\ht\pgfnodeparttextbox%
+ \advance\pgf@y by.5\dp\pgfnodeparttextbox%
+ }
+
+ %
+ % Anchors
+ %
+ \anchor{text}{\text}%
+ \anchor{center}{\pgfpointorigin}%
+ \anchor{mid}{%
+ \pgf@process{\text}%
+ \pgf@x=0pt%
+ \setlength\pgf@ya{.5ex}
+ \advance\pgf@y by\pgf@ya%
+ }
+ \anchor{base}{\pgf@process{\text}\pgf@x=0pt }
+ \anchor{north}{\pgf@process{\outernortheast}\pgf@x=0pt}
+ \anchor{south}{\pgf@process{\outernortheast}\pgf@x=0pt\pgf@y=-\pgf@y}
+ \anchor{west}{\pgf@process{\outernortheast}\pgf@x=-\pgf@x\pgf@y=0pt}
+ \anchor{north west}{\pgf@process{\outernortheast}\pgf@x=-.5\pgf@x\pgf@y=.5\pgf@y}
+ \anchor{south west}{\pgf@process{\outernortheast}\pgf@x=-.5\pgf@x\pgf@y=-.5\pgf@y}
+ \anchor{east}{\pgf@process{\outernortheast}\pgf@y=0pt}
+ \anchor{north east}{\pgf@process{\outernortheast}\pgf@x=.5\pgf@x\pgf@y=.5\pgf@y}
+ \anchor{south east}{\pgf@process{\outernortheast}\pgf@x=.5\pgf@x\pgf@y=-.5\pgf@y}
+ \anchorborder{%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{\outernortheast}%
+ \ifdim\pgf@xa>0pt%
+ \else%
+ \pgf@x=-\pgf@x%
+ \fi%
+ \ifdim\pgf@ya>0pt%
+ \else%
+ \pgf@y=-\pgf@y%
+ \fi%
+ \edef\pgf@marshal{%
+ \noexpand\pgfpointintersectionoflines
+ {\noexpand\pgfpointorigin}
+ {\noexpand\pgfpoint{\the\pgf@xa}{\the\pgf@ya}}
+ {\noexpand\pgfpoint{\the\pgf@x}{0pt}}
+ {\noexpand\pgfpoint{0pt}{\the\pgf@y}}%
+ }%
+ \pgf@process{\pgf@marshal}%
+ }
+
+ %
+ % Background path
+ %
+ \backgroundpath{
+ \pgf@process{\outernortheast}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \setlength{\pgf@xa}{\pgfshapeouterxsep}%
+ \setlength{\pgf@ya}{\pgfshapeouterysep}%
+ \advance\pgf@xc by-1.414213\pgf@xa%
+ \advance\pgf@yc by-1.414213\pgf@ya%
+ \pgfpathmoveto{\pgfpoint{\pgf@xc}{0pt}}%
+ \pgfpathlineto{\pgfpoint{0pt}{\pgf@yc}}%
+ \pgfpathlineto{\pgfpoint{-\pgf@xc}{0pt}}%
+ \pgfpathlineto{\pgfpoint{0pt}{-\pgf@yc}}%
+ \pgfpathclose%
+ }
+}
+
+
+
+\newbox\pgfnodepartlowerbox
+
+%
+% A circle that is split in the middle into an upper and a lower part.
+%
+% This node consists of two parts: The upper (main) part is shown in
+% the upper half of the circle. The second part is the (optional)
+% lower part.
+%
+% Parts: text, lower
+
+\pgfdeclareshape{circle split}
+{
+ %
+ % Node parts
+ %
+ \nodeparts{text,lower}
+
+ %
+ % Anchors
+ %
+ \savedanchor\centerpoint{%
+ \pgf@x=.5\wd\pgfnodeparttextbox%
+ \setlength{\pgf@y}{\pgfshapeinnerysep}%
+ \pgf@y=-\pgf@y%
+ \advance\pgf@y by-\dp\pgfnodeparttextbox%
+ \advance\pgf@y by-.5\pgflinewidth%
+ }%
+ \savedanchor\loweranchor{%
+ \pgf@x=-.5\wd\pgfnodepartlowerbox%
+ \advance\pgf@x by.5\wd\pgfnodeparttextbox%
+ \setlength{\pgf@y}{\pgfshapeinnerysep}%
+ \pgf@y=-2\pgf@y%
+ \advance\pgf@y by-\ht\pgfnodepartlowerbox%
+ \advance\pgf@y by-.5\pgflinewidth%
+ \advance\pgf@y by-\dp\pgfnodeparttextbox%
+ \advance\pgf@y by-.5\pgflinewidth%
+ }
+
+ \saveddimen\radius{%
+ %
+ % Caculate ``height radius''
+ %
+ \pgf@ya=.5\ht\pgfnodeparttextbox%
+ \advance\pgf@ya by.5\dp\pgfnodeparttextbox%
+ \advance\pgf@ya by.5\ht\pgfnodepartlowerbox%
+ \advance\pgf@ya by.5\dp\pgfnodepartlowerbox%
+ \advance\pgf@ya by.5\pgflinewidth%
+ \setlength\pgf@yb{\pgfshapeinnerysep}%
+ \advance\pgf@ya by2\pgf@yb%
+ %
+ % Caculate ``width radius''
+ %
+ \pgf@xa=.5\wd\pgfnodeparttextbox%
+ \ifdim\pgf@xa<.5\wd\pgfnodepartlowerbox%
+ \pgf@xa=.5\wd\pgfnodepartlowerbox%
+ \fi%
+ \setlength\pgf@xb{\pgfshapeinnerxsep}%
+ \advance\pgf@xa by\pgf@xb%
+ %
+ % Calculate length of radius vector:
+ %
+ \pgf@process{\pgfpointnormalised{\pgfpoint{\pgf@xa}{\pgf@ya}}}%
+ \ifdim\pgf@x>\pgf@y%
+ \c@pgf@counta=\pgf@x%
+ \ifnum\c@pgf@counta=0\relax%
+ \else%
+ \divide\c@pgf@counta by 255\relax%
+ \pgf@xa=16\pgf@xa\relax%
+ \divide\pgf@xa by\c@pgf@counta%
+ \pgf@xa=16\pgf@xa\relax%
+ \fi%
+ \else%
+ \c@pgf@counta=\pgf@y%
+ \ifnum\c@pgf@counta=0\relax%
+ \else%
+ \divide\c@pgf@counta by 255\relax%
+ \pgf@ya=16\pgf@ya\relax%
+ \divide\pgf@ya by\c@pgf@counta%
+ \pgf@xa=16\pgf@ya\relax%
+ \fi%
+ \fi%
+ \pgf@x=\pgf@xa%
+ %
+ % If necessary, adjust radius so that the size requirements are
+ % met:
+ %
+ \setlength{\pgf@xb}{\pgfshapeminwidth}%
+ \setlength{\pgf@yb}{\pgfshapeminheight}%
+ \ifdim\pgf@x<.5\pgf@xb%
+ \pgf@x=.5\pgf@xb%
+ \fi%
+ \ifdim\pgf@x<.5\pgf@yb%
+ \pgf@x=.5\pgf@yb%
+ \fi%
+ %
+ % Now, add larger of outer sepearations.
+ %
+ \setlength{\pgf@xb}{\pgfshapeouterxsep}%
+ \setlength{\pgf@yb}{\pgfshapeouterysep}%
+ \ifdim\pgf@xb<\pgf@yb%
+ \advance\pgf@x by\pgf@yb%
+ \else%
+ \advance\pgf@x by\pgf@xb%
+ \fi%
+ }
+
+ %
+ % Anchors
+ %
+ \inheritanchorborder[from=circle]
+ \inheritanchor[from=circle]{north}
+ \inheritanchor[from=circle]{north west}
+ \inheritanchor[from=circle]{north east}
+ \inheritanchor[from=circle]{center}
+ \inheritanchor[from=circle]{west}
+ \inheritanchor[from=circle]{east}
+ \inheritanchor[from=circle]{mid}
+ \inheritanchor[from=circle]{mid west}
+ \inheritanchor[from=circle]{mid east}
+ \inheritanchor[from=circle]{base}
+ \inheritanchor[from=circle]{base west}
+ \inheritanchor[from=circle]{base east}
+ \inheritanchor[from=circle]{south}
+ \inheritanchor[from=circle]{south west}
+ \inheritanchor[from=circle]{south east}
+ \anchor{lower}{\loweranchor}
+
+ %
+ % Background path
+ %
+ \inheritbackgroundpath[from=circle]
+ \beforebackgroundpath{
+ \@tempdima=\radius%
+ \setlength{\pgf@xb}{\pgfshapeouterxsep}%
+ \setlength{\pgf@yb}{\pgfshapeouterysep}%
+ \ifdim\pgf@xb<\pgf@yb%
+ \advance\@tempdima by-\pgf@yb%
+ \else%
+ \advance\@tempdima by-\pgf@xb%
+ \fi%
+ \advance\@tempdima by-.5\pgflinewidth%
+ \pgfsetshortenstart{0pt}%
+ \pgfsetshortenend{0pt}%
+ \pgfsetarrows{-}%
+ \pgfpathmoveto{\pgfpointadd{\centerpoint}{\pgfpoint{-\@tempdima}{0pt}}}%
+ \pgfpathlineto{\pgfpointadd{\centerpoint}{\pgfpoint{\@tempdima}{0pt}}}%
+ \pgfusepath{stroke}%
+ }
+}
+
+
+
\pgfdeclareshape{cross out}
{
\inheritsavedanchors[from=rectangle] % this is nearly a rectangle
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarysnakes.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarysnakes.code.tex
index 3440477499e..f9795dc4a99 100644
--- a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarysnakes.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarysnakes.code.tex
@@ -1,9 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarysnakes.code.tex,v 1.9 2005/10/13 10:12:31 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarysnakes.code.tex,v 1.14 2006/10/11 15:22:26 tantau Exp $
\newdimen\pgfsnakesegmentamplitude
@@ -280,6 +284,35 @@
+% crosses snakes
+%
+% Parameters: \pgfsnakesegmentlength, \pgfsnakeobjectsize, \pgfsnakesegmentamplitude
+
+\pgfdeclaresnake{crosses}{crosses}
+{
+ \state{crosses}[switch if less than=\pgfsnakesegmentlength to last,
+ width=\pgfsnakesegmentlength]
+ {
+ \pgfpathmoveto{\pgfpoint{0pt}{\pgfsnakesegmentamplitude}}
+ \pgfpathlineto{\pgfpoint{\pgfsnakesegmentobjectlength}{-\pgfsnakesegmentamplitude}}
+ \pgfpathmoveto{\pgfpoint{0pt}{-\pgfsnakesegmentamplitude}}
+ \pgfpathlineto{\pgfpoint{\pgfsnakesegmentobjectlength}{\pgfsnakesegmentamplitude}}
+ }
+ \state{last}[width=\pgfsnakesegmentobjectlength,next state=final]
+ {
+ \pgfpathmoveto{\pgfpoint{0pt}{\pgfsnakesegmentamplitude}}
+ \pgfpathlineto{\pgfpoint{\pgfsnakesegmentobjectlength}{-\pgfsnakesegmentamplitude}}
+ \pgfpathmoveto{\pgfpoint{0pt}{-\pgfsnakesegmentamplitude}}
+ \pgfpathlineto{\pgfpoint{\pgfsnakesegmentobjectlength}{\pgfsnakesegmentamplitude}}
+ }
+ \state{final}
+ {
+ \pgfpathmoveto{\pgfpoint{\pgfsnakeremainingdistance}{0pt}}
+ }
+}
+
+
+
% ticks snakes
%
% Parameters: \pgfsnakesegmentlength, \pgfsnakesegmentamplitude
@@ -366,4 +399,26 @@
+% bent snake
+%
+% A snake that looks like someone bent the line a bit.
+%
+% Parameters: \pgfsnakesegmentamplitude, \pgfsnakesegmentaspect
+
+\pgfdeclaresnake{bent}{bent}
+{
+ \state{bent}[width=\pgfsnakeremainingdistance,next state=final]
+ {
+ \pgfpathcurveto
+ {\pgfpoint{\pgfsnakesegmentaspect\pgfsnakeremainingdistance}{\pgfsnakesegmentamplitude}}
+ {\pgfpointadd{\pgfpoint{\pgfsnakeremainingdistance}{0pt}}
+ {\pgfpoint{-\pgfsnakesegmentaspect\pgfsnakeremainingdistance}{\pgfsnakesegmentamplitude}}}
+ {\pgfpoint{\pgfsnakeremainingdistance}{0pt}}
+ }
+ \state{final}
+ {}
+}
+
+
+
\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikz3d.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikz3d.code.tex
new file mode 100644
index 00000000000..d980b557feb
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikz3d.code.tex
@@ -0,0 +1,105 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikz3d.code.tex,v 1.3 2006/10/11 15:22:26 tantau Exp $
+
+
+
+% New coordinate systems:
+
+\tikzdeclarecoordinatesystem{xyz cylindrical}
+{%
+ \setkeys{tikzcskeys}{angle=0,radius=0,z=0,#1}%
+ \pgfpointcylindrical{\tikz@cs@angle}{\tikz@cs@radius}{\tikz@cs@z}%
+}
+
+\tikzdeclarecoordinatesystem{xyz spherical}
+{%
+ \setkeys{tikzcskeys}{angle=0,radius=0,latitude=0,longitude=0,#1}%
+ \pgfpointspherical{\tikz@cs@angle}{\tikz@cs@latitude}{\tikz@cs@radius}%
+}
+
+\define@key{tikzcskeys}{longitude}{\def\tikz@cs@angle{#1}}
+\define@key{tikzcskeys}{latitude}{\def\tikz@cs@latitude{#1}}
+
+
+% Options for transforming into a plane:
+
+\tikzoption{plane origin}{\def\tikz@plane@origin{\tikz@scan@one@point\@firstofone#1}}
+\tikzoption{plane x}{\def\tikz@plane@x{\tikz@scan@one@point\@firstofone#1}}
+\tikzoption{plane y}{\def\tikz@plane@y{\tikz@scan@one@point\@firstofone#1}}
+
+\let\tikz@plane@origin=\pgfpointorigin
+\def\tikz@plain@x{\pgfpointxy{1}{0}}
+\def\tikz@plain@y{\pgfpointxy{0}{1}}
+
+\tikzoption{canvas is plane}[]{
+ \tikz@canvas@is@plane
+}
+\tikzoption{canvas is xy plane at z}{%
+ \tikz@addtransform{\pgftransformshift{\pgfpointxyz{0}{0}{#1}}}%
+}
+\tikzoption{canvas is yx plane at z}[]{%
+ \def\tikz@plane@origin{\pgfpointxyz{0}{0}{#1}}%
+ \def\tikz@plane@x{\pgfpointxyz{0}{1}{#1}}%
+ \def\tikz@plane@y{\pgfpointxyz{1}{0}{#1}}%
+ \tikz@canvas@is@plane
+}
+\tikzoption{canvas is xz plane at y}[]{%
+ \def\tikz@plane@origin{\pgfpointxyz{0}{#1}{0}}%
+ \def\tikz@plane@x{\pgfpointxyz{1}{#1}{0}}%
+ \def\tikz@plane@y{\pgfpointxyz{0}{#1}{1}}%
+ \tikz@canvas@is@plane
+}
+\tikzoption{canvas is zx plane at y}[]{%
+ \def\tikz@plane@origin{\pgfpointxyz{0}{#1}{0}}%
+ \def\tikz@plane@x{\pgfpointxyz{0}{#1}{1}}%
+ \def\tikz@plane@y{\pgfpointxyz{1}{#1}{0}}%
+ \tikz@canvas@is@plane
+}
+\tikzoption{canvas is yz plane at x}[]{%
+ \def\tikz@plane@origin{\pgfpointxyz{#1}{0}{0}}%
+ \def\tikz@plane@x{\pgfpointxyz{#1}{1}{0}}%
+ \def\tikz@plane@y{\pgfpointxyz{#1}{0}{1}}%
+ \tikz@canvas@is@plane
+}
+\tikzoption{canvas is zy plane at x}[]{%
+ \def\tikz@plane@origin{\pgfpointxyz{#1}{0}{0}}%
+ \def\tikz@plane@x{\pgfpointxyz{#1}{0}{1}}%
+ \def\tikz@plane@y{\pgfpointxyz{#1}{1}{0}}%
+ \tikz@canvas@is@plane
+}
+
+
+
+% Transformation code
+
+\def\tikz@canvas@is@plane{
+ \pgf@process{\tikz@plane@x}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{\tikz@plane@y}%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \pgf@process{\tikz@plane@origin}%
+ \edef\pgf@marshal{\noexpand\tikz@addtransform{%
+ \noexpand\pgftransformtriangle
+ {\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}
+ {\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}}
+ {\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}
+ \noexpand\pgftransformscale{0.035146}%
+ \noexpand\pgfsetxvec{\noexpand\pgfpoint{1cm}{0cm}}%
+ \noexpand\pgfsetyvec{\noexpand\pgfpoint{0cm}{1cm}}%
+ \noexpand\pgfsetzvec{\noexpand\pgfpoint{0cm}{0cm}}%
+ }}%
+ \pgf@marshal%
+}
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzarrows.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzarrows.code.tex
new file mode 100644
index 00000000000..2ca988c5493
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzarrows.code.tex
@@ -0,0 +1,14 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzarrows.code.tex,v 1.2 2006/10/11 15:22:26 tantau Exp $
+
+\usepgflibrary{arrows}
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzautomata.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzautomata.code.tex
new file mode 100644
index 00000000000..d30f8abb767
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzautomata.code.tex
@@ -0,0 +1,102 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzautomata.code.tex,v 1.3 2006/10/11 15:22:26 tantau Exp $
+
+
+% Styles for states:
+
+\tikzstyle{every state}= []
+
+\tikzstyle{state without output}= [circle,draw,minimum size=2.5em,every state]
+\tikzstyle{state with output}= [circle split,draw,minimum size=2.5em,every state]
+
+\tikzstyle{accepting by arrow}= [after node path=
+{
+ {
+ [to path=
+ {
+ [->,double=none,every accepting by arrow]
+ --
+ ([shift=(\tikz@accepting@angle:\tikz@accepting@distance)]\tikztostart.\tikz@accepting@angle)
+ node [shape=rectangle,anchor=\tikz@accepting@anchor] {\tikz@accepting@text}
+ }]
+ edge ()
+ }
+}]
+\tikzstyle{every accepting by arrow}=[]
+\tikzstyle{accepting by double}= [double,outer sep=.5\pgflinewidth+.3pt] % .3pt is half double width distance
+
+\tikzstyle{initial by arrow}= [after node path=
+{
+ {
+ [to path=
+ {
+ [->,double=none,every initial by arrow]
+ ([shift=(\tikz@initial@angle:\tikz@initial@distance)]\tikztostart.\tikz@initial@angle)
+ node [shape=rectangle,anchor=\tikz@initial@anchor] {\tikz@initial@text}
+ -- (\tikztostart)}]
+ edge ()
+ }
+}]
+\tikzstyle{every initial by arrow}=[]
+
+
+\tikzoption{initial text}{\tikzaddafternodepathoption{\def\tikz@initial@text{#1}}}
+\tikzoption{accepting text}{\tikzaddafternodepathoption{\def\tikz@accepting@text{#1}}}
+
+\tikzoption{initial where}{\tikzaddafternodepathoption{\csname tikz@initial@compute@#1\endcsname}}
+\tikzoption{accepting where}{\tikzaddafternodepathoption{\csname tikz@accepting@compute@#1\endcsname}}
+
+\tikzoption{initial distance}{\tikzaddafternodepathoption{\def\tikz@initial@distance{#1}}}
+\tikzoption{accepting distance}{\tikzaddafternodepathoption{\def\tikz@initial@distance{#1}}}
+
+\def\tikz@initial@text{start}
+\def\tikz@accepting@text{}
+
+\def\tikz@initial@distance{3ex}
+\def\tikz@accepting@distance{3ex}
+
+\def\tikz@initial@compute@above{\def\tikz@initial@angle{90}\def\tikz@initial@anchor{south}}
+\def\tikz@initial@compute@below{\def\tikz@initial@angle{270}\def\tikz@initial@anchor{north}}
+\def\tikz@initial@compute@left{\def\tikz@initial@angle{180}\def\tikz@initial@anchor{east}}
+\def\tikz@initial@compute@right{\def\tikz@initial@angle{0}\def\tikz@initial@anchor{west}}
+
+\def\tikz@initial@angle{180}
+\def\tikz@initial@anchor{east}
+
+\def\tikz@accepting@compute@above{\def\tikz@accepting@angle{90}\def\tikz@accepting@anchor{south}}
+\def\tikz@accepting@compute@below{\def\tikz@accepting@angle{270}\def\tikz@accepting@anchor{north}}
+\def\tikz@accepting@compute@left{\def\tikz@accepting@angle{180}\def\tikz@accepting@anchor{east}}
+\def\tikz@accepting@compute@right{\def\tikz@accepting@angle{0}\def\tikz@accepting@anchor{west}}
+
+\def\tikz@accepting@angle{0}
+\def\tikz@accepting@anchor{west}
+
+
+\tikzstyle{initial above}= [initial by arrow,initial where=above]
+\tikzstyle{initial below}= [initial by arrow,initial where=below]
+\tikzstyle{initial left}= [initial by arrow,initial where=left]
+\tikzstyle{initial right}= [initial by arrow,initial where=right]
+
+\tikzstyle{accepting above}= [accepting by arrow,accepting where=above]
+\tikzstyle{accepting below}= [accepting by arrow,accepting where=below]
+\tikzstyle{accepting left}= [accepting by arrow,accepting where=left]
+\tikzstyle{accepting right}= [accepting by arrow,accepting where=right]
+
+
+% Defaults:
+
+\tikzstyle{state}= [state without output]
+\tikzstyle{accepting}= [accepting by double]
+\tikzstyle{initial}= [initial by arrow]
+
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzbackgrounds.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzbackgrounds.code.tex
index 260a8f9a28a..6fa6b9963cc 100644
--- a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzbackgrounds.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzbackgrounds.code.tex
@@ -1,9 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzbackgrounds.code.tex,v 1.1 2005/08/13 18:59:56 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzbackgrounds.code.tex,v 1.3 2006/10/11 15:22:26 tantau Exp $
% Layers
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzer.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzer.code.tex
new file mode 100644
index 00000000000..3056d59185e
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzer.code.tex
@@ -0,0 +1,39 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzer.code.tex,v 1.3 2006/10/11 15:22:26 tantau Exp $
+
+
+% Styles for entity types:
+
+\tikzstyle{every entity}= []
+\tikzstyle{entity}= [rectangle,draw,
+ minimum height=2\baselineskip,
+ minimum width=4\baselineskip,every entity]
+
+
+% Styles for relationship types:
+
+\tikzstyle{every relationship}= []
+\tikzstyle{relationship}= [diamond,draw,
+ minimum size=1.5\baselineskip,
+ inner sep=1pt,
+ every relationship]
+
+
+% Styles for relationship types:
+
+\tikzstyle{every attribute}= []
+\tikzstyle{attribute}= [minimum size=1.5\baselineskip,ellipse,draw,every attribute]
+\tikzstyle{key attribute}= [font=\itshape,attribute]
+
+
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzmindmap.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzmindmap.code.tex
new file mode 100644
index 00000000000..80a2ca35f55
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzmindmap.code.tex
@@ -0,0 +1,320 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzmindmap.code.tex,v 1.14 2006/10/11 15:22:26 tantau Exp $
+
+
+
+% A snake for connecting circle nodes
+%
+% Parameters: \pgfsnakecirclestartradius, \pgfsnakecircleendradius,
+% \pgfsnakesegmentamplitude, \pgfsnakesegmentangle
+
+\pgfdeclaresnake{circle connection bar}{initial}
+{
+ \state{initial}[width=0pt,next state=bar]
+ {
+ {
+ \pgftransformxshift{-\pgfsnakecirclestartradius}%
+ \pgfpathmoveto{\pgfpointpolar{\pgfsnakesegmentangle}{\pgfsnakecirclestartradius}}
+ \pgfpatharc{\pgfsnakesegmentangle}{-\pgfsnakesegmentangle}{\pgfsnakecirclestartradius}
+ \@tempcnta=-\pgfsnakesegmentangle\relax
+ \advance\@tempcnta by90\relax
+ \setlength\@tempdima{\pgfsnakecirclestartradius}
+ \setlength\@tempdimb{\pgfsnakesegmentamplitude}
+ \pgfpathcurveto
+ {\pgfpointadd
+ {\pgfpointpolar{-\pgfsnakesegmentangle}{\pgfsnakecirclestartradius}}
+ {\pgfpointpolar{\the\@tempcnta}{.25\@tempdima}}}
+ {\pgfpoint{1.25\@tempdima}{-.5\@tempdimb}}
+ {\pgfpoint{1.5\@tempdima}{-.5\@tempdimb}}
+ \pgfpathlineto{\pgfpoint{1.5\@tempdima}{.5\@tempdimb}}
+ \@tempcnta=\pgfsnakesegmentangle\relax
+ \advance\@tempcnta by-90\relax
+ \pgfpathcurveto
+ {\pgfpoint{1.25\@tempdima}{.5\@tempdimb}}
+ {\pgfpointadd
+ {\pgfpointpolar{\pgfsnakesegmentangle}{\pgfsnakecirclestartradius}}
+ {\pgfpointpolar{\the\@tempcnta}{.25\@tempdima}}}
+ {\pgfpointpolar{\pgfsnakesegmentangle}{\pgfsnakecirclestartradius}}
+ \pgfpathclose
+ }
+ }
+ \state{bar}[width=0pt,next state=end]
+ {
+ \setlength\@tempdima{\pgfsnakecirclestartradius}%
+ \setlength\@tempdimb{\pgfsnakecircleendradius}%
+ \setlength\pgf@xc{\pgfsnakesegmentamplitude}%
+ \pgfpathrectangle
+ {\pgfpoint{.5\@tempdima}{-.5\pgf@xc}}
+ {\pgfpoint{\pgfsnakeremainingdistance-.5\@tempdimb-.5\@tempdima}{\pgf@xc}}
+ }
+ \state{end}[width=0pt,next state=final]
+ {
+ {
+ \pgftransformxshift{\pgfsnakeremainingdistance}%
+ \pgftransformxscale{-1}%
+ \pgftransformxshift{-\pgfsnakecircleendradius}%
+ \pgfpathmoveto{\pgfpointpolar{\pgfsnakesegmentangle}{\pgfsnakecircleendradius}}
+ \pgfpatharc{\pgfsnakesegmentangle}{-\pgfsnakesegmentangle}{\pgfsnakecircleendradius}
+ \@tempcnta=-\pgfsnakesegmentangle\relax
+ \advance\@tempcnta by90\relax
+ \setlength\@tempdima{\pgfsnakecircleendradius}
+ \setlength\@tempdimb{\pgfsnakesegmentamplitude}%
+ \pgfpathcurveto
+ {\pgfpointadd
+ {\pgfpointpolar{-\pgfsnakesegmentangle}{\pgfsnakecircleendradius}}
+ {\pgfpointpolar{\the\@tempcnta}{.25\@tempdima}}}
+ {\pgfpoint{1.25\@tempdima}{-.5\@tempdimb}}
+ {\pgfpoint{1.5\@tempdima}{-.5\@tempdimb}}
+ \pgfpathlineto{\pgfpoint{1.5\@tempdima}{.5\@tempdimb}}
+ \@tempcnta=\pgfsnakesegmentangle\relax
+ \advance\@tempcnta by-90\relax
+ \pgfpathcurveto
+ {\pgfpoint{1.25\@tempdima}{.5\@tempdimb}}
+ {\pgfpointadd
+ {\pgfpointpolar{\pgfsnakesegmentangle}{\pgfsnakecircleendradius}}
+ {\pgfpointpolar{\the\@tempcnta}{.25\@tempdima}}}
+ {\pgfpointpolar{\pgfsnakesegmentangle}{\pgfsnakecircleendradius}}
+ \pgfpathclose
+ }
+ }
+ \state{final}
+ {}
+}
+
+
+\def\pgfsnakecirclestartradius{1cm}
+\def\pgfsnakecircleendradius{1cm}
+\def\pgfsnakesegmentangle{20}
+
+
+
+
+% To paths for connecting circle nodes
+
+\tikzstyle{circle connection bar}=
+[to path={
+ \pgfextra{\tikz@compute@circle@radii\tikz@compute@segmentamplitude}
+ [fill=\tikz@concept@color,draw=none]
+ [snake=circle connection bar]
+ [every circle connection bar]
+ -- (\tikztotarget) \tikztonodes
+}]
+\tikzstyle{every circle connection bar}=[]
+
+\def\tikz@compute@circle@radii{%
+ \pgf@process{\pgfpointtransformed{\pgfpointanchor{\tikztostart}{center}}}%
+ \pgf@xa=\pgf@x%
+ \pgf@process{\pgfpointtransformed{\pgfpointanchor{\tikztostart}{west}}}%
+ \advance\pgf@xa by-\pgf@x%
+ \edef\pgfsnakecirclestartradius{\the\pgf@xa}%
+ \pgf@process{\pgfpointtransformed{\pgfpointanchor{\tikztotarget}{center}}}%
+ \pgf@xa=\pgf@x%
+ \pgf@process{\pgfpointtransformed{\pgfpointanchor{\tikztotarget}{west}}}%
+ \advance\pgf@xa by-\pgf@x%
+ \edef\pgfsnakecircleendradius{\the\pgf@xa}%
+}
+\def\tikz@compute@segmentamplitude{%
+ \pgf@x=\pgfsnakecirclestartradius\relax%
+ \ifdim\pgf@x>\pgfsnakecircleendradius\relax%
+ \pgf@x=\pgfsnakecircleendradius\relax%
+ \fi%
+ \pgf@x=.175\pgf@x\relax%
+ \edef\pgfsnakesegmentamplitude{\the\pgf@x}%
+}
+
+
+% Switch color in a mindmap
+
+\tikzoption{circle connection bar switch color}{\tikz@parse@switch#1\pgf@unique}
+\def\tikz@parse@switch from (#1) to (#2)\pgf@unique{%
+ \def\tikz@to@path{%
+ \pgfextra{%
+ \colorlet{tikz@switch@from}{#1}%
+ \colorlet{tikz@switch@to}{#2}%
+ \tikz@compute@circle@radii\tikz@compute@segmentamplitude%
+ \tikz@compute@rotation%
+ }
+ [fill=none,draw=none]
+ [snake=circle connection bar]
+ [every circle connection bar]
+ -- (\tikztotarget) \tikztonodes
+ [shading=tikz@shade@bar]
+ }
+}
+
+\tikzoption{concept color}{%
+ \let\tikz@old@concept@color=\tikz@concept@color%
+ \def\tikz@edge@to@parent@path{
+ (\tikzparentnode)
+ to[circle connection bar switch color=from (\tikz@old@concept@color) to (#1)]
+ (\tikzchildnode)}
+ \def\tikz@concept@color{#1}%
+}
+
+\pgfdeclarehorizontalshading[tikz@switch@from,tikz@switch@to]{tikz@shade@bar}{100bp}{%
+ color(0pt)=(tikz@switch@from);
+ color(45bp)=(tikz@switch@from);
+ color(50bp)=(tikz@switch@to);
+ color(100bp)=(tikz@switch@to)}
+
+\def\tikz@compute@rotation{%
+ \pgf@process{\pgfpointnormalised{\pgfpointdiff{\pgfpointanchor{\tikztostart}{center}}{\pgfpointanchor{\tikztotarget}{center}}}}%
+ \pgf@ya=-\pgf@y%
+ \edef\pgf@marshal{%
+ \noexpand\pgfsetadditionalshadetransform{%
+ \noexpand\pgftransformcm
+ {\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@y}}%
+ {\pgf@sys@tonumber{\pgf@ya}}{\pgf@sys@tonumber{\pgf@x}}%
+ {\noexpand\pgfpointorigin}%
+ }%
+ }%
+ \pgf@marshal%
+}
+
+
+
+
+% A concept node
+
+\tikzstyle{concept}= [circle,fill=\tikz@concept@color,draw=\tikz@concept@color,every concept]
+\tikzstyle{every concept}= []
+
+\def\tikz@concept@color{black}
+
+\tikzstyle{tikz@concept@setting}=[edge from parent path={(\tikzparentnode) to [circle connection bar] (\tikzchildnode)}]
+\tikzstyle{tikz@concept@color@set}=[]
+
+
+\tikzstyle{extra concept}= [concept color=black!50,level 2 concept,concept,every extra concept]
+\tikzstyle{every extra concept}=[]
+
+\tikzstyle{concept connection}=[line width=1mm,shorten <=2mm,shorten >=2mm,cap=round,draw=black!50]
+
+
+% A mindmap
+
+\tikzstyle{mindmap}=
+ [fill,draw,very thick,outer sep=0pt,inner sep=1pt,%
+ set style={{every child}+=[style=tikz@concept@setting,style=tikz@concept@color@set]},%
+ style=root concept,
+ set style={{level 1}+=[style=level 1 concept]},
+ set style={{level 2}+=[style=level 2 concept]},
+ set style={{level 3}+=[style=level 3 concept]},
+ set style={{level 4}+=[style=level 4 concept]},
+ text centered,%
+ segment angle=20,
+ style=every mindmap,
+ ]
+\tikzstyle{every mindmap}=[]
+
+
+\tikzstyle{root concept}= [minimum size=4cm,text width=3.5cm,font=\large]
+\tikzstyle{level 1 concept}=[minimum size=2.25cm,
+ level distance=5cm,
+ text width=2cm,
+ sibling angle=60,
+ font=\small]
+\tikzstyle{level 2 concept}=[minimum size=1.75cm,%
+ level distance=2.9cm,%
+ text width=1.5cm,%
+ sibling angle=60,%
+ font=\footnotesize]
+\tikzstyle{level 3 concept}=[minimum size=1.15cm,%
+ text width=1cm,%
+ level distance=2.4cm,%
+ sibling angle=30,%
+ font=\tiny]
+\tikzstyle{level 4 concept}=[minimum size=0.9cm,%
+ text width=0.7cm,
+ level distance=1.85cm,%
+ sibling angle=30,%
+ font=\tiny]
+
+\tikzstyle{large mindmap}=
+ [%
+ set style={{root concept}=[minimum size=5.6cm,text width=4.5cm,font=\Large]},
+ set style={{level 1 concept}=[%
+ minimum size=3.2cm,
+ level distance=7cm,
+ text width=2.8cm,
+ sibling angle=60,
+ font=]},%
+ set style={{level 2 concept}=[%
+ minimum size=2.45cm,%
+ level distance=4cm,%
+ text width=2.2cm,%
+ sibling angle=60,%
+ font=\small%
+ ]},%
+ set style={{level 3 concept}=[%
+ minimum size=1.63cm,%
+ text width=1.4cm,%
+ level distance=3.38cm,%
+ sibling angle=30,%
+ font=\scriptsize]},%
+ set style={{level 4 concept}=[%
+ minimum size=1.27cm,%
+ text width=1cm,
+ level distance=2.60cm,%
+ sibling angle=30,%
+ font=\tiny]},%
+ mindmap,%
+ line width=2pt
+ ]
+
+\tikzstyle{huge mindmap}=
+ [%
+ set style={{root concept}=[minimum size=8cm,text width=7cm,font=\huge]},
+ set style={{level 1 concept}+=[%
+ minimum size=4.5cm,
+ level distance=10cm,
+ text width=4cm,
+ sibling angle=60,
+ font=\large]},%
+ set style={{level 2 concept}+=[%
+ minimum size=3.5cm,%
+ level distance=5.8cm,%
+ text width=3cm,%
+ sibling angle=60,%
+ font=%
+ ]},%
+ set style={{level 3 concept}+=[%
+ minimum size=2.3cm,%
+ text width=2cm,%
+ level distance=4.8cm,%
+ sibling angle=30,%
+ font=\footnotesize]},%
+ set style={{level 4 concept}+=[%
+ minimum size=1.7cm,%
+ text width=1.4cm,
+ level distance=3.7cm,%
+ sibling angle=30,%
+ font=\scriptsize]},%
+ mindmap,%
+ line width=3pt
+ ]
+
+
+% Annotations
+
+\tikzstyle{annotation}=[shape=rectangle,
+ minimum size=0pt,
+ text width=3.5cm,
+ outer sep=1.5mm,
+ inner sep=1mm,
+ text badly ragged,
+ rounded corners,
+ font=\tiny,
+ every annotation]
+\tikzstyle{every annotation}=[]
+
+\endinput
+
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzpatterns.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzpatterns.code.tex
new file mode 100644
index 00000000000..7766f66d8d5
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzpatterns.code.tex
@@ -0,0 +1,14 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzpatterns.code.tex,v 1.2 2006/10/11 15:22:26 tantau Exp $
+
+\usepgflibrary{patterns}
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzpetri.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzpetri.code.tex
new file mode 100644
index 00000000000..ebb43bca13f
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzpetri.code.tex
@@ -0,0 +1,146 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzpetri.code.tex,v 1.3 2006/10/11 15:22:26 tantau Exp $
+
+
+% Styles for places:
+
+\tikzstyle{every place}= []
+\tikzstyle{place}= [circle,draw,inner sep=0pt,
+ minimum size=5ex,
+ every place]
+
+
+% Styles for transition:
+
+\tikzstyle{every transition}= []
+\tikzstyle{transition}= [rectangle,draw,inner sep=0pt,
+ minimum size=4mm,
+ every transition]
+
+
+% Styles for relationship types:
+
+\tikzstyle{pre}= [<-,shorten <=1pt]
+\tikzstyle{post}= [->,shorten >=1pt]
+\tikzstyle{pre and post}= [<->,shorten >=1pt,shorten <=1pt]
+
+
+
+% Styles for marks:
+
+\tikzstyle{every token}= []
+\tikzstyle{token}= [fill=black,draw=none,circle,
+ inner sep=0.5pt,minimum size=1ex,
+ text=white,font=\tiny,every token]
+
+\tikzoption{token distance}{\def\tikz@token@distance{#1}}
+\def\tikz@token@distance{1.5ex}
+
+\tikzstyle{children are tokens}= [growth function=\tikz@grow@tokens,edge from parent path=]
+
+\tikzoption{tokens}{%
+ \ifnum#1>0\relax%
+ \tikz@add@after@node@path{%
+ {[children are tokens]child foreach \tikz@dummy in {1,...,#1} {node[token]{}}}}%
+ \fi}
+
+\tikzoption{colored tokens}{%
+ \tikz@add@after@node@path{%
+ {[children are tokens]child foreach \tikz@child@color in {#1} {node[token,\tikz@child@color]{}}}}%
+ }
+
+\tikzoption{structured tokens}{%
+ \tikz@add@after@node@path{%
+ {[children are tokens]child foreach \tikz@child@name in {#1} {node[token]{\tikz@child@name}}}}%
+ }
+
+
+\def\tikz@grow@tokens{%
+ \setlength{\pgf@xa}{\tikz@token@distance}%
+ \setlength{\pgf@ya}{\tikz@token@distance}%
+ \pgf@xc=0pt%
+ \pgf@yc=0pt%
+ \csname tikz@grow@tokens@placer@\the\tikznumberofchildren @\the\tikznumberofcurrentchild\endcsname%
+ \pgftransformshift{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+}
+
+\def\tikz@def@grow@tokens#1#2#3#4{%
+ \expandafter\def\csname tikz@grow@tokens@placer@#1@#2\endcsname{%
+ \pgf@xc=#3\pgf@xa%
+ \pgf@yc=#4\pgf@ya}%
+}
+
+
+% Single token
+\tikz@def@grow@tokens{1}{1}{0}{0}
+
+% Two tokens
+\tikz@def@grow@tokens{2}{1}{-.5}{0}
+\tikz@def@grow@tokens{2}{2}{.5}{0}
+
+% Three tokens
+\tikz@def@grow@tokens{3}{1}{0} {0.57}
+\tikz@def@grow@tokens{3}{2}{-.5}{-.306025}
+\tikz@def@grow@tokens{3}{3}{.5} {-.306025}
+
+% Four tokens
+\tikz@def@grow@tokens{4}{1}{-.5}{.5}
+\tikz@def@grow@tokens{4}{2}{.5}{.5}
+\tikz@def@grow@tokens{4}{3}{-.5}{-.5}
+\tikz@def@grow@tokens{4}{4}{.5}{-.5}
+
+% Five tokens
+\tikz@def@grow@tokens{5}{1}{0}{.85}
+\tikz@def@grow@tokens{5}{2}{-0.808398}{0.26266}
+\tikz@def@grow@tokens{5}{3}{0.808398}{0.26266}
+\tikz@def@grow@tokens{5}{4}{-0.499617}{-0.687664}
+\tikz@def@grow@tokens{5}{5}{0.499617}{-0.687664}
+
+% Six tokens
+\tikz@def@grow@tokens{6}{1}{-1}{.5}
+\tikz@def@grow@tokens{6}{2}{0}{.5}
+\tikz@def@grow@tokens{6}{3}{1}{.5}
+\tikz@def@grow@tokens{6}{4}{-1}{-.5}
+\tikz@def@grow@tokens{6}{5}{0}{-.5}
+\tikz@def@grow@tokens{6}{6}{1}{-.5}
+
+% Seven tokens
+\tikz@def@grow@tokens{7}{1}{0}{1}
+\tikz@def@grow@tokens{7}{2}{-1}{.5}
+\tikz@def@grow@tokens{7}{3}{0}{0}
+\tikz@def@grow@tokens{7}{4}{1}{.5}
+\tikz@def@grow@tokens{7}{5}{-1}{-.5}
+\tikz@def@grow@tokens{7}{6}{0}{-1}
+\tikz@def@grow@tokens{7}{7}{1}{-.5}
+
+% Eight tokens
+\tikz@def@grow@tokens{8}{1}{-.5}{1}
+\tikz@def@grow@tokens{8}{2}{.5}{1}
+\tikz@def@grow@tokens{8}{3}{-1}{0}
+\tikz@def@grow@tokens{8}{4}{0}{0}
+\tikz@def@grow@tokens{8}{5}{1}{0}
+\tikz@def@grow@tokens{8}{6}{-1}{-1}
+\tikz@def@grow@tokens{8}{7}{0}{-1}
+\tikz@def@grow@tokens{8}{8}{1}{-1}
+
+% Eight tokens
+\tikz@def@grow@tokens{9}{1}{-1}{1}
+\tikz@def@grow@tokens{9}{2}{0}{1}
+\tikz@def@grow@tokens{9}{3}{1}{1}
+\tikz@def@grow@tokens{9}{4}{-1}{0}
+\tikz@def@grow@tokens{9}{5}{0}{0}
+\tikz@def@grow@tokens{9}{6}{1}{0}
+\tikz@def@grow@tokens{9}{7}{-1}{-1}
+\tikz@def@grow@tokens{9}{8}{0}{-1}
+\tikz@def@grow@tokens{9}{9}{1}{-1}
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzplothandlers.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzplothandlers.code.tex
new file mode 100644
index 00000000000..d9179187394
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzplothandlers.code.tex
@@ -0,0 +1,14 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzplothandlers.code.tex,v 1.2 2006/10/11 15:22:26 tantau Exp $
+
+\usepgflibrary{plothandlers}
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzplotmarks.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzplotmarks.code.tex
new file mode 100644
index 00000000000..4455e03aac2
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzplotmarks.code.tex
@@ -0,0 +1,14 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzplotmarks.code.tex,v 1.2 2006/10/11 15:22:26 tantau Exp $
+
+\usepgflibrary{plotmarks}
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzshapes.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzshapes.code.tex
new file mode 100644
index 00000000000..ef4dcca2a7b
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzshapes.code.tex
@@ -0,0 +1,14 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzshapes.code.tex,v 1.2 2006/10/11 15:22:26 tantau Exp $
+
+\usepgflibrary{shapes}
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzsnakes.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzsnakes.code.tex
new file mode 100644
index 00000000000..0274721bd36
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzsnakes.code.tex
@@ -0,0 +1,14 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikzsnakes.code.tex,v 1.2 2006/10/11 15:22:26 tantau Exp $
+
+\usepgflibrary{snakes}
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikztopaths.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikztopaths.code.tex
new file mode 100644
index 00000000000..c26ce1c018f
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikztopaths.code.tex
@@ -0,0 +1,378 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikztopaths.code.tex,v 1.4 2006/10/11 15:22:26 tantau Exp $
+
+
+% Straight to
+
+\tikzstyle{line to}= [to path={-- (\tikztotarget) \tikztonodes}]
+
+
+% Curved to
+
+\tikzstyle{every curve to}= []
+\tikzstyle{curve to}= [to path=\tikz@to@curve@path]
+
+\tikzoption{bend angle}{\def\tikz@to@bend{#1}}
+
+\tikzoption{bend left}[]{%
+ \def\pgf@temp{#1}%
+ \ifx\pgf@temp\pgf@empty%
+ \else%
+ \def\tikz@to@bend{#1}%
+ \fi%
+ \let\tikz@to@out=\tikz@to@bend%
+ \c@pgf@counta=180\relax%
+ \advance\c@pgf@counta by-\tikz@to@out\relax%
+ \edef\tikz@to@in{\the\c@pgf@counta}%
+ \tikz@to@switch@on%
+ \tikz@to@relativetrue%
+}
+
+\tikzoption{bend right}[]{%
+ \def\pgf@temp{#1}%
+ \ifx\pgf@temp\pgf@empty%
+ \else%
+ \def\tikz@to@bend{#1}%
+ \fi%
+ % Now, negate
+ \c@pgf@counta=\tikz@to@bend\relax%
+ \c@pgf@counta=-\c@pgf@counta\relax%
+ \edef\tikz@to@out{\the\c@pgf@counta}%
+ \c@pgf@counta=180\relax%
+ \advance\c@pgf@counta by-\tikz@to@out\relax%
+ \edef\tikz@to@in{\the\c@pgf@counta}%
+ \tikz@to@switch@on%
+ \tikz@to@relativetrue%
+}
+
+\tikzoption{relative}[true]{\csname tikz@to@relative#1\endcsname}
+\newif\iftikz@to@relative
+\tikz@to@relativefalse
+
+\tikzoption{in}{\def\tikz@to@in{#1}\tikz@to@switch@on}
+\tikzoption{out}{\def\tikz@to@out{#1}\tikz@to@switch@on}
+
+\tikzoption{in looseness}{\tikz@to@set@in@looseness{#1}}
+\tikzoption{out looseness}{\tikz@to@set@out@looseness{#1}}
+\tikzoption{looseness}{\tikz@to@set@in@looseness{#1}\tikz@to@set@out@looseness{#1}}
+
+\tikzoption{in control}{\tikz@to@set@in@control{#1}}
+\tikzoption{out control}{\tikz@to@set@out@control{#1}}
+\tikzoption{controls}{\tikz@to@parse@controls#1\pgf@stop}
+
+\tikzoption{in min distance}{\tikz@to@set@distances{#1}{}{}{}}
+\tikzoption{in max distance}{\tikz@to@set@distances{}{#1}{}{}}
+\tikzoption{in distance}{\tikz@to@set@distances{#1}{#1}{}{}}
+\tikzoption{out min distance}{\tikz@to@set@distances{}{}{#1}{}}
+\tikzoption{out max distance}{\tikz@to@set@distances{}{}{}{#1}}
+\tikzoption{out distance}{\tikz@to@set@distances{}{}{#1}{#1}}
+\tikzoption{min distance}{\tikz@to@set@distances{#1}{}{#1}{}}
+\tikzoption{max distance}{\tikz@to@set@distances{}{#1}{}{#1}}
+\tikzoption{distance}{\tikz@to@set@distances{#1}{#1}{#1}{#1}}
+
+\def\tikz@to@set@distances#1#2#3#4{%
+ \tikz@to@setifnotempy{#1}{\tikz@to@in@min}{\let\tikz@to@end@compute=\tikz@to@end@compute@looseness}%
+ \tikz@to@setifnotempy{#2}{\tikz@to@in@max}{\let\tikz@to@end@compute=\tikz@to@end@compute@looseness}%
+ \tikz@to@setifnotempy{#3}{\tikz@to@out@min}{\let\tikz@to@start@compute=\tikz@to@start@compute@looseness}%
+ \tikz@to@setifnotempy{#4}{\tikz@to@out@max}{\let\tikz@to@start@compute=\tikz@to@start@compute@looseness}%
+ \tikz@to@switch@on%
+}
+
+\def\tikz@to@setifnotempy#1#2#3{%
+ \def\pgf@temp{#1}%
+ \ifx\pgf@temp\pgf@empty\else\def#2{#1}#3\fi%
+}
+
+
+\def\tikz@to@set@in@looseness#1{%
+ \def\tikz@to@in@looseness{#1}%
+ \let\tikz@to@end@compute=\tikz@to@end@compute@looseness%
+ \tikz@to@switch@on%
+}
+\def\tikz@to@set@out@looseness#1{%
+ \def\tikz@to@out@looseness{#1}%
+ \let\tikz@to@start@compute=\tikz@to@start@compute@looseness%
+ \tikz@to@switch@on%
+}
+
+\def\tikz@to@parse@controls#1and#2\pgf@stop{\tikz@to@set@in@control{#2}\tikz@to@set@out@control{#1}}
+
+\def\tikz@to@set@in@control#1{%
+ \def\tikz@to@in@control{#1}%
+ \let\tikz@to@end@compute=\tikz@to@end@compute@control%
+ \tikz@to@switch@on%
+}
+\def\tikz@to@set@out@control#1{%
+ \def\tikz@to@out@control{#1}%
+ \let\tikz@to@start@compute=\tikz@to@start@compute@control%
+ \tikz@to@switch@on%
+}
+
+
+\def\tikz@to@bend{30}
+
+\def\tikz@to@out{45}
+\def\tikz@to@in{135}
+
+\def\tikz@to@out@looseness{1}
+\def\tikz@to@in@looseness{1}
+
+\def\tikz@to@in@min{0pt}
+\def\tikz@to@in@max{10000pt}
+\def\tikz@to@out@min{0pt}
+\def\tikz@to@out@max{10000pt}
+
+\def\tikz@to@switch@on{\let\tikz@to@path=\tikz@to@curve@path}
+
+\def\tikz@to@curve@path{%
+ [every curve to]
+ \pgfextra{\iftikz@to@relative\tikz@to@compute@relative\else\tikz@to@compute\fi}
+ \tikz@computed@path
+ \tikztonodes%
+}
+
+\def\tikz@to@modify#1#2{%
+ \pgf@ifundefined{pgf@sh@ns@#1}
+ {}%
+ {\edef#1{#1.#2}}
+}%
+
+\def\tikz@to@compute{%
+ \let\tikz@tofrom=\tikztostart%
+ \let\tikz@toto=\tikztotarget%
+ \tikz@to@modify\tikz@tofrom\tikz@to@out%
+ \tikz@to@modify\tikz@toto\tikz@to@in%
+ \ifx\tikz@to@start@compute\tikz@to@start@compute@looseness%
+ \tikz@to@compute@distance%
+ \else%
+ \ifx\tikz@from@start@compute\tikz@to@start@compute@looseness%
+ \tikz@to@compute@distance%
+ \fi%
+ \fi%
+ \tikz@to@start@compute%
+ \tikz@to@end@compute%
+ \edef\tikz@computed@path{.. controls \tikz@computed@start and \tikz@computed@end .. (\tikz@toto)}
+}
+
+\def\tikz@to@compute@distance{\tikz@scan@one@point\tikz@@to@compute@distance(\tikz@tofrom)}
+\def\tikz@@to@compute@distance#1{%
+ \def\tikz@first@point{#1}%
+ \tikz@scan@one@point\tikz@@@to@compute@distance(\tikz@toto)}
+\def\tikz@@@to@compute@distance#1{%
+ \def\tikz@second@point{#1}%
+ \tikz@to@compute@distance@main%
+}
+\def\tikz@to@compute@distance@main{%
+ \pgf@process{\pgfpointdiff{\tikz@first@point}{\tikz@second@point}}%
+ \ifdim\pgf@x<0pt\pgf@xa=-\pgf@x\else\pgf@xa=\pgf@x\fi%
+ \ifdim\pgf@y<0pt\pgf@ya=-\pgf@y\else\pgf@ya=\pgf@y\fi%
+ %
+ % Calculate length of second to first vector:
+ %
+ \pgf@process{\pgfpointnormalised{\pgfpoint{\pgf@xa}{\pgf@ya}}}%
+ \ifdim\pgf@x>\pgf@y%
+ \c@pgf@counta=\pgf@x%
+ \ifnum\c@pgf@counta=0\relax%
+ \else%
+ \divide\c@pgf@counta by 255\relax%
+ \pgf@xa=16\pgf@xa\relax%
+ \divide\pgf@xa by\c@pgf@counta%
+ \pgf@xa=16\pgf@xa\relax%
+ \fi%
+ \else%
+ \c@pgf@counta=\pgf@y%
+ \ifnum\c@pgf@counta=0\relax%
+ \else%
+ \divide\c@pgf@counta by 255\relax%
+ \pgf@ya=16\pgf@ya\relax%
+ \divide\pgf@ya by\c@pgf@counta%
+ \pgf@xa=16\pgf@ya\relax%
+ \fi%
+ \fi%
+ \pgf@x=0.3915\pgf@xa%
+ \pgf@xa=\tikz@to@out@looseness\pgf@x%
+ \pgf@xb=\tikz@to@in@looseness\pgf@x%
+ % Adjust as necessary
+ \setlength{\pgf@ya}{\tikz@to@out@min}
+ \ifdim\pgf@xa<\pgf@ya%
+ \pgf@xa=\pgf@ya%
+ \fi%
+ \setlength{\pgf@ya}{\tikz@to@out@max}
+ \ifdim\pgf@xa>\pgf@ya%
+ \pgf@xa=\pgf@ya%
+ \fi%
+ \setlength{\pgf@ya}{\tikz@to@in@min}
+ \ifdim\pgf@xb<\pgf@ya%
+ \pgf@xb=\pgf@ya%
+ \fi%
+ \setlength{\pgf@ya}{\tikz@to@in@max}
+ \ifdim\pgf@xb>\pgf@ya%
+ \pgf@xb=\pgf@ya%
+ \fi%
+}
+
+\def\tikz@to@start@compute@looseness{%
+ \edef\tikz@computed@start{([shift=(\tikz@to@out:\the\pgf@xa)]\tikz@tofrom)}%
+}
+\def\tikz@to@end@compute@looseness{%
+ \edef\tikz@computed@end{([shift=(\tikz@to@in:\the\pgf@xb)]\tikz@toto)}%
+}
+\def\tikz@to@start@compute@control{%
+ \let\tikz@computed@start=\tikz@to@out@control%
+}
+\def\tikz@to@end@compute@control{%
+ \let\tikz@computed@end=\tikz@to@in@control%
+}
+
+\let\tikz@to@start@compute=\tikz@to@start@compute@looseness%
+\let\tikz@to@end@compute=\tikz@to@end@compute@looseness%
+
+
+
+
+% Relative curves
+
+\def\tikz@to@compute@relative{%
+ \tikz@scan@one@point\tikz@@to@compute@relative(\tikztostart)%
+}
+\def\tikz@@to@compute@relative#1{%
+ \def\tikz@tofrom{#1}%
+ \tikz@scan@one@point\tikz@@@to@compute@relative(\tikztotarget)%
+}
+\def\tikz@@@to@compute@relative#1{%
+ \def\tikz@toto{#1}%
+ \begingroup
+ %
+ % Adjust start and target so that they lie on the border in the
+ % rotated coordinate system.
+ %
+ \pgf@ifundefined{pgf@sh@ns@\tikztostart}
+ {%
+ \let\tikz@first@point=\tikz@tofrom%
+ \let\tikz@tostart@tikz=\pgf@empty
+ }%
+ {%
+ % Start computation of new start.
+ {%
+ \tikz@tofrom%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ {%
+ \pgftransformreset%
+ \pgftransformshift{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ \pgftransformrotate{\tikz@to@out}%
+ \pgftransformshift{\pgfqpoint{-\pgf@xc}{-\pgf@yc}}%
+ \pgf@process{\pgfpointtransformed{\tikz@toto}}%
+ }%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \pgfpointshapeborder{\tikztostart}{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ \xdef\tikz@tofrom@smuggle{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}
+ }%
+ \let\tikz@first@point=\tikz@tofrom@smuggle%
+ \tikz@first@point%
+ \edef\tikz@tostart@tikz{(\the\pgf@x,\the\pgf@y)}%
+ }%
+ \pgf@ifundefined{pgf@sh@ns@\tikztotarget}
+ {%
+ \let\tikz@second@point=\tikz@toto%
+ }%
+ {%
+ % Start computation of new target.
+ {%
+ \tikz@toto%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ {%
+ \pgftransformreset%
+ \pgftransformshift{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ \pgftransformrotate{180}%
+ \pgftransformrotate{\tikz@to@in}%
+ \pgftransformshift{\pgfqpoint{-\pgf@xc}{-\pgf@yc}}%
+ \pgf@process{\pgfpointtransformed{\tikz@tofrom}}%
+ }%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \pgfpointshapeborder{\tikztotarget}{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ \xdef\tikz@toto@smuggle{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}
+ }%
+ \let\tikz@second@point=\tikz@toto@smuggle%
+ }%
+ \tikz@second@point%
+ \edef\tikz@totarget@tikz{(\the\pgf@x,\the\pgf@y)}%
+ %
+ % Compute distances
+ %
+ \tikz@to@compute@distance@main%
+ \edef\tikz@to@first@distance{\the\pgf@xa}%
+ \edef\tikz@to@second@distance{\the\pgf@xb}%
+ %
+ % Next step: Establish a transformed coordinate system so that the (modified)
+ % start is at the origin and the (modified) target is at (1,0)
+ %
+ \pgftransformreset%
+ \pgf@process{\tikz@first@point}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{\tikz@second@point}%
+ \advance\pgf@x by-\pgf@xa%
+ \advance\pgf@y by-\pgf@ya%
+ \pgfpointnormalised{}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \pgf@xb=-\pgf@x%
+ \pgf@yb=-\pgf@y%
+ %
+ % Now compute the control points.
+ %
+ {%
+ \pgftransformshift{\tikz@first@point}%
+ \pgftransformcm{\pgf@sys@tonumber\pgf@xc}{\pgf@sys@tonumber\pgf@yc}{\pgf@sys@tonumber\pgf@yb}{\pgf@sys@tonumber\pgf@xc}%
+ {\pgfpointorigin}%
+ \pgf@process{\pgfpointtransformed{\pgfpointpolar{\tikz@to@out}{\tikz@to@first@distance}}}%
+ \xdef\tikz@computed@start{(\the\pgf@x,\the\pgf@y)}%
+ }
+ {%
+ \pgftransformshift{\tikz@second@point}%
+ \pgftransformcm{\pgf@sys@tonumber\pgf@xc}{\pgf@sys@tonumber\pgf@yc}{\pgf@sys@tonumber\pgf@yb}{\pgf@sys@tonumber\pgf@xc}%
+ {\pgfpointorigin}%
+ \pgf@process{\pgfpointtransformed{\pgfpointpolar{\tikz@to@in}{\tikz@to@second@distance}}}%
+ \xdef\tikz@computed@end{(\the\pgf@x,\the\pgf@y)}%
+ }
+ \xdef\tikz@computed@path{
+ \tikz@tostart@tikz
+ .. controls \tikz@computed@start and \tikz@computed@end ..
+ \tikz@totarget@tikz}%
+ \endgroup
+}
+
+
+
+% Loops
+
+\tikzstyle{loop}= [to path={
+ \pgfextra{\let\tikztotarget=\tikztostart}
+ [looseness=8,min distance=5mm,every loop]
+ \tikz@to@curve@path
+ }]
+
+\tikzstyle{every loop}= [->,shorten >=1pt]
+
+\tikzstyle{loop right}= [right,out=15,in=-15,loop]
+\tikzstyle{loop above}= [above,out=105,in=75,loop]
+\tikzstyle{loop left}= [left,out=195,in=165,loop]
+\tikzstyle{loop below}= [below,out=285,in=255,loop]
+
+
+
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikztrees.code.tex b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikztrees.code.tex
index 8f472237604..841b534fed3 100644
--- a/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikztrees.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/libraries/pgflibrarytikztrees.code.tex
@@ -1,10 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikztrees.code.tex,v 1.4 2005/09/02 16:05:44 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/libraries/pgflibrarytikztrees.code.tex,v 1.7 2006/10/11 15:22:26 tantau Exp $
@@ -72,6 +75,27 @@
\pgftransformxshift{\the\tikzleveldistance}%
}
+\tikzoption{counterclockwise from}{\let\tikz@grow=\tikz@grow@circle@from\def\tikz@grow@circle@from@start{#1}}
+
+\def\tikz@grow@circle@from{%
+ \c@pgf@counta=\tikz@sibling@angle\relax%
+ \multiply\c@pgf@counta by\tikznumberofcurrentchild\relax%
+ \advance\c@pgf@counta by-\tikz@sibling@angle\relax%
+ \advance\c@pgf@counta by\tikz@grow@circle@from@start\relax%
+ \pgftransformshift{\pgfpointpolar{\the\c@pgf@counta}{\the\tikzleveldistance}}%
+}
+
+\tikzoption{clockwise from}{\let\tikz@grow=\tikz@grow@circle@from@\def\tikz@grow@circle@from@start{#1}}
+
+\def\tikz@grow@circle@from@{%
+ \c@pgf@counta=\tikz@sibling@angle\relax%
+ \multiply\c@pgf@counta by-\tikznumberofcurrentchild\relax%
+ \advance\c@pgf@counta by\tikz@sibling@angle\relax%
+ \advance\c@pgf@counta by\tikz@grow@circle@from@start\relax%
+ \pgftransformshift{\pgfpointpolar{\the\c@pgf@counta}{\the\tikzleveldistance}}%
+}
+
+
%
% Connections
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg
index a719fda2380..0bed39c0541 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg
@@ -1,11 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgf.cfg,v 1.1.1.1 2005/06/29 12:14:04 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgf.cfg,v 1.2 2006/10/11 15:22:26 tantau Exp $
% Default driver:
\ifx\pgfsysdriver\@undefined
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def
index 3f2c726beb8..bdc3c16b905 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def
@@ -1,11 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-common-pdf.def,v 1.4 2005/10/18 18:03:38 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-common-pdf.def,v 1.6 2006/10/11 15:22:26 tantau Exp $
% Driver commands for pdf
@@ -58,15 +60,15 @@
\def\pgfsys@color@gray@fill#1{\pgfsysprotocol@literal{#1 g}}
% Opacity
-\def\pgf@sys@pdf@addtopageresources#1{\pgf@sys@fail{adding to page resources}}
-\def\pgf@sys@pdf@readdtopageresources#1{}% not always used
+\def\pgf@sys@pdf@addtopageresources@extgs#1{\pgf@sys@fail{adding to page resources}}
+\def\pgf@sys@pdf@readdtopageresources@extgs#1{}% not always used
\def\pgfsys@stroke@opacity#1{%
\expandafter\ifx\csname pgf@sys@pdf@so@#1\endcsname\relax%
% Hmm... define...
\expandafter\gdef\csname pgf@sys@pdf@so@#1\endcsname{/pgf@CA#1}%
- \pgf@sys@pdf@addtopageresources{/pgf@CA#1 << /CA #1 >>}%
+ \pgf@sys@pdf@addtopageresources@extgs{/pgf@CA#1 << /CA #1 >>}%
\else%
- \pgf@sys@pdf@readdtopageresources{/pgf@CA#1 << /CA #1 >>}%
+ \pgf@sys@pdf@readdtopageresources@extgs{/pgf@CA#1 << /CA #1 >>}%
\fi%
\pgfsysprotocol@literal{\csname pgf@sys@pdf@so@#1\endcsname\space gs}%
}
@@ -74,15 +76,14 @@
\expandafter\ifx\csname pgf@sys@pdf@fo@#1\endcsname\relax%
% Hmm... define...
\expandafter\gdef\csname pgf@sys@pdf@fo@#1\endcsname{/pgf@ca#1}%
- \pgf@sys@pdf@addtopageresources{/pgf@ca#1 << /ca #1 >>}%
+ \pgf@sys@pdf@addtopageresources@extgs{/pgf@ca#1 << /ca #1 >>}%
\else%
- \pgf@sys@pdf@readdtopageresources{/pgf@ca#1 << /ca #1 >>}%
+ \pgf@sys@pdf@readdtopageresources@extgs{/pgf@ca#1 << /ca #1 >>}%
\fi%
\pgfsysprotocol@literal{\csname pgf@sys@pdf@fo@#1\endcsname\space gs}%
}
-
\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-postscript.def b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-postscript.def
index 81b062a6a6e..89d1d34f958 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-postscript.def
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-postscript.def
@@ -1,11 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-common-postscript.def,v 1.7 2005/10/25 08:18:14 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-common-postscript.def,v 1.14 2006/10/11 15:22:26 tantau Exp $
% Driver commands for postscript
@@ -155,7 +157,7 @@
\expandafter\xdef\csname#1\endcsname{\the\pgf@objectcount}%
\pgfsysprotocol@getcurrentprotocol\pgfsys@temp%
{%
- \pgfsysprotocol@setcurrentprotocol\@empty%
+ \pgfsysprotocol@setcurrentprotocol\pgf@empty%
\pgfsysprotocol@bufferedtrue%
#4%
\pgfsysprotocol@getcurrentprotocol\pgfsys@@temp%
@@ -166,7 +168,7 @@
\def\pgfsys@useobject#1#2{%
\pgfsysprotocol@getcurrentprotocol\pgfsys@temp%
{%
- \pgfsysprotocol@setcurrentprotocol\@empty%
+ \pgfsysprotocol@setcurrentprotocol\pgf@empty%
\pgfsysprotocol@bufferedfalse%
#2%
\pgfsysprotocol@invokecurrentprotocol%
@@ -187,7 +189,7 @@
\expandafter\xdef\csname @pgfshading#1!\endcsname{\hbox to \the\pgf@max{%
\noexpand\vrule width0pt height\the\pgf@xa%
\noexpand\pgfsys@beginpurepicture%
- \noexpand\pgfsys@rect{0pt}{0pt}{\the\pgf@y}{\the\pgf@x}%
+ \noexpand\pgfsys@rect{0pt}{0pt}{\the\pgf@max}{\the\pgf@xa}%
\noexpand\pgfsys@clipnext%
\noexpand\pgfsys@discardpath%
\noexpand\pgfsys@invoke{\pgf@domb\space \pgf@sys@tonumber{\pgf@x} pgfH \pgf@psfuncs\space pop}%
@@ -206,7 +208,7 @@
\expandafter\xdef\csname @pgfshading#1!\endcsname{\hbox to\the\pgf@xa{%
\noexpand\vrule width0pt height\the\pgf@max%
\noexpand\pgfsys@beginpurepicture%
- \noexpand\pgfsys@rect{0pt}{0pt}{\the\pgf@x}{\the\pgf@y}%
+ \noexpand\pgfsys@rect{0pt}{0pt}{\the\pgf@xa}{\the\pgf@max}%
\noexpand\pgfsys@clipnext%
\noexpand\pgfsys@discardpath%
\noexpand\pgfsys@invoke{\pgf@domb\space \pgf@sys@tonumber{\pgf@x} pgfV \pgf@psfuncs\space pop}%
@@ -218,6 +220,8 @@
{%
\pgf@parsefunc{#3}%
\pgf@process{#2}%
+ \pgf@sys@bp@correct{\pgf@x}%
+ \pgf@sys@bp@correct{\pgf@y}%
\pgf@xa=2\pgf@max%
\pgf@sys@bp@correct{\pgf@max}%
\advance\pgf@x by \pgf@max%
@@ -233,7 +237,69 @@
}%
}
-\AtBeginDocument{
+%
+% Patterns
+%
+
+
+\def\pgfsys@declarepattern#1#2#3#4#5#6#7#8#9{%
+ % Start building the pattern dictionary:
+ \pgf@xa=#2\relax%
+ \pgf@ya=#3\relax%
+ \pgf@xb=#4\relax%
+ \pgf@yb=#5\relax%
+ \pgf@xc=#6\relax%
+ \pgf@yc=#7\relax%
+ \pgf@sys@bp@correct\pgf@xa%
+ \pgf@sys@bp@correct\pgf@ya%
+ \pgf@sys@bp@correct\pgf@xb%
+ \pgf@sys@bp@correct\pgf@yb%
+ \pgf@sys@bp@correct\pgf@xc%
+ \pgf@sys@bp@correct\pgf@yc%
+ \pgfsys@outerinvoke{
+ save true setglobal globaldict begin /pgfpat#1
+ {
+ \ifnum#9=0 [/Pattern /DeviceRGB] \else /Pattern \fi\space
+ setcolorspace
+ gsave
+ initgraphics
+ <<
+ /Type /Pattern
+ /PatternType 1
+ /PaintType \ifnum#9=0 2 \else 1 \fi
+ /TilingType 1
+ /BBox [\pgf@sys@tonumber\pgf@xa\space\pgf@sys@tonumber\pgf@ya\space\pgf@sys@tonumber\pgf@xb\space\pgf@sys@tonumber\pgf@yb]
+ /XStep \pgf@sys@tonumber\pgf@xc\space
+ /YStep \pgf@sys@tonumber\pgf@yc\space
+ /PaintProc
+ { begin 2 dict begin #8\space end end } bind
+ >>
+ matrix
+ makepattern
+ %/pgfpat#1\space exch def
+ grestore
+ setcolor
+ } bind def end restore
+ }%
+}
+
+\def\pgfsys@setpatternuncolored#1#2#3#4{%
+ \pgfsysprotocol@literal{/pgffc{#2 #3 #4 pgfpat#1}def}%
+% [/Pattern /DeviceRGB] setcolorspace
+% #2 #3 #4 pgfpat#1\space setcolor
+% }def}%
+ \pgf@fillcolortrue%
+}
+
+\def\pgfsys@setpatterncolored#1{%
+ \pgfsysprotocol@literal{/pgffc{pgfpat#1}def}%/Pattern setcolorspace
+% pgfpat#1\space setcolor}def}%
+ \pgf@fillcolortrue%
+}
+
+
+
+\def\pgfsys@atbegindocument{%
% Parameters to horizontal pre axishade: \pgf@domb x
\pgf@sys@postscript@header{/pgfH{%
/pgfheight exch def 0.75 setlinewidth [] 0 setdash
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-svg.def b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-svg.def
index 0046ff5a2c1..03a422f95e1 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-svg.def
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-svg.def
@@ -1,18 +1,20 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-common-svg.def,v 1.13 2005/11/15 17:46:37 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-common-svg.def,v 1.17 2006/10/11 15:22:26 tantau Exp $
% Driver commands for svg
% Helping functions:
-\let\pgf@sys@svgpath=\@empty
+\let\pgf@sys@svgpath=\pgf@empty
\def\pgf@sys@svgnum#1{%
{%
\pgf@x=#1\relax%
@@ -22,12 +24,12 @@
}%
}
\def\pgf@sys@addtosvgpath#1{\g@addto@macro\pgf@sys@svgpath{#1\space}}
-\def\pgf@sys@flushsvgpath{\pgfsysprotocol@literal{\pgf@sys@svgpath}\global\let\pgf@sys@svgpath=\@empty}
+\def\pgf@sys@flushsvgpath{\pgfsysprotocol@literal{\pgf@sys@svgpath}\global\let\pgf@sys@svgpath=\pgf@empty}
\def\pgf@sys@svg@gs#1{%
{\pgfsysprotocol@literal{<g #1>\Hnewline }}\global\advance\pgf@sys@svg@scopecount by1\relax%
}
\newcount\pgf@sys@svg@objectcount
-\let\Hnewline=\@empty
+\let\Hnewline=\pgf@empty
% Path construction:
\def\pgfsys@lineto#1#2{\pgf@sys@addtosvgpath{L }\pgf@sys@svgnum{#1}\pgf@sys@svgnum{#2}}
@@ -77,7 +79,7 @@
\pgf@sys@svg@gs{clip-path="url(\#pgfcp\the\pgf@sys@svg@objectcount)"}
\pgf@sys@svg@clipnextfalse%
\else%
- \global\let\pgf@sys@svgpath=\@empty
+ \global\let\pgf@sys@svgpath=\pgf@empty
\fi}
% Fill rules:
@@ -114,7 +116,7 @@
% Graphics state
\def\pgfsys@setdash#1#2{%
\edef\pgf@test@dashpattern{#1}%
- \ifx\pgf@test@dashpattern\@empty%
+ \ifx\pgf@test@dashpattern\pgf@empty%
\pgf@sys@svg@gs{stroke-dasharray="none" stroke-dashoffset="#2"}%
\else%
\pgf@sys@svg@gs{stroke-dasharray="#1" stroke-dashoffset="#2"}%
@@ -191,30 +193,34 @@
}%
}
+\def\pgf@sys@svg@gs@color#1{%
+ \ifpgfpicture\pgf@sys@svg@gs{#1}\fi%
+}
+
\def\pgfsys@color@rgb@stroke#1#2#3{%
\pgf@sys@svg@color@rgb#1,#2,#3\relax%
- \pgf@sys@svg@gs{stroke="\pgf@sys@svg@prepared"}}
+ \pgf@sys@svg@gs@color{stroke="\pgf@sys@svg@prepared"}}
\def\pgfsys@color@rgb@fill#1#2#3{%
\pgf@sys@svg@color@rgb#1,#2,#3\relax%
- \pgf@sys@svg@gs{fill="\pgf@sys@svg@prepared"}}
+ \pgf@sys@svg@gs@color{fill="\pgf@sys@svg@prepared"}}
\def\pgfsys@color@cmyk@stroke#1#2#3#4{%
\pgf@sys@svg@color@cmyk#1,#2,#3,#4\relax%
- \pgf@sys@svg@gs{stroke="\pgf@sys@svg@prepared"}}
+ \pgf@sys@svg@gs@color{stroke="\pgf@sys@svg@prepared"}}
\def\pgfsys@color@cmyk@fill#1#2#3#4{%
\pgf@sys@svg@color@cmyk#1,#2,#3,#4\relax%
- \pgf@sys@svg@gs{fill="\pgf@sys@svg@prepared"}}
+ \pgf@sys@svg@gs@color{fill="\pgf@sys@svg@prepared"}}
\def\pgfsys@color@cmy@stroke#1#2#3{%
\pgf@sys@svg@color@cmy#1,#2,#3\relax%
- \pgf@sys@svg@gs{stroke="\pgf@sys@svg@prepared"}}
+ \pgf@sys@svg@gs@color{stroke="\pgf@sys@svg@prepared"}}
\def\pgfsys@color@cmy@fill#1#2#3{%
\pgf@sys@svg@color@cmy#1,#2,#3\relax%
- \pgf@sys@svg@gs{fill="\pgf@sys@svg@prepared"}}
+ \pgf@sys@svg@gs@color{fill="\pgf@sys@svg@prepared"}}
\def\pgfsys@color@gray@stroke#1{%
\pgf@sys@svg@color@gray#1\relax%
- \pgf@sys@svg@gs{stroke="\pgf@sys@svg@prepared"}}
+ \pgf@sys@svg@gs@color{stroke="\pgf@sys@svg@prepared"}}
\def\pgfsys@color@gray@fill#1{%
\pgf@sys@svg@color@gray#1\relax%
- \pgf@sys@svg@gs{fill="\pgf@sys@svg@prepared"}}
+ \pgf@sys@svg@gs@color{fill="\pgf@sys@svg@prepared"}}
% Shadings:
@@ -231,7 +237,7 @@
}
\def\pgf@sys@svg@shading@dostops#1{%
\edef\pgf@test{#1}%
- \ifx\pgf@test\@empty%
+ \ifx\pgf@test\pgf@empty%
\else%
\expandafter\pgf@sys@svg@shading@dostop\pgf@test%
\expandafter\pgf@sys@svg@shading@dostops%
@@ -255,7 +261,7 @@
\pgf@sys@svg@addtostops{\pgf@sys@svg@prepared}%
}
-\let\pgf@sys@svg@thestops=\@empty
+\let\pgf@sys@svg@thestops=\pgf@empty
\def\pgf@sys@svg@addtostops#1{%
\edef\pgf@temp{#1}%
\expandafter\expandafter\expandafter\def
@@ -345,6 +351,55 @@
}
+% Patterns
+
+\def\pgfsys@declarepattern#1#2#3#4#5#6#7#8#9{%
+ % Start building the pattern dictionary:
+ \pgf@xa=#2\relax%
+ \pgf@ya=#3\relax%
+ \pgf@xb=#4\relax%
+ \pgf@yb=#5\relax%
+ \pgf@xc=#6\relax%
+ \pgf@yc=#7\relax%
+ \ifnum#9=1\relax%
+ % Colored. That's easy:
+ \pgfsysprotocol@literal{
+ <pattern
+ id="pgfpat#1"
+ patternUnits="userSpaceOnUse"
+ width="\the\pgf@xc"
+ height="\the\pgf@yc">
+ #8
+ </pattern>}%
+ \else%
+ % Uncolored. Yikes!
+ \pgfsysprotocol@literal{
+ <pattern
+ id="pgfpat#1"
+ patternUnits="userSpaceOnUse"
+ width="\the\pgf@xc"
+ height="\the\pgf@yc"/>
+ <symbol id="pgfsym#1">
+ #8
+ </symbol>}%
+ \fi%
+}
+
+\def\pgfsys@setpatternuncolored#1#2#3#4{%
+ \global\advance\pgf@sys@svg@objectcount by1\relax%
+ \pgf@sys@svg@color@rgb#2,#3,#4\relax%
+ \pgfsysprotocol@literal{
+ <pattern id="pgfupat\the\pgf@sys@svg@objectcount" xlink:href="\#pgfpat#1">
+ <g stroke="\pgf@sys@svg@prepared" fill="\pgf@sys@svg@prepared"> <use xlink:href="\#pgfsym#1"/> </g>
+ </pattern>}
+ \pgf@sys@svg@gs@color{fill="url(\#pgfupat\the\pgf@sys@svg@objectcount)"}%
+}
+
+\def\pgfsys@setpatterncolored#1{%
+ \pgf@sys@svg@gs@color{fill="url(\#pgfpat#1)"}%
+}
+
+
\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvi.def b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvi.def
new file mode 100644
index 00000000000..164efe6a01e
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvi.def
@@ -0,0 +1,392 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-dvi.def,v 1.3 2006/10/11 15:22:26 tantau Exp $
+
+% Driver commands for pure, ultra-portable dvi, in the tradition of
+% old-style LaTeX pictures.
+%
+% Do not expect magic from this file
+
+
+\newtoks\pgf@sys@dvi@path
+\def\pgf@sys@dvi@addtopath#1{\pgf@sys@dvi@path\expandafter{\the\pgf@sys@dvi@path#1}}
+
+% Placing an object:
+\def\pgf@sys@dvi@put#1#2#3{%
+ {%
+ \setbox\pgf@hbox=\hbox{\raise#2\hbox to0pt{\kern#1\relax#3\hss}}%
+ \wd\pgf@hbox=0pt%
+ \ht\pgf@hbox=0pt%
+ \dp\pgf@hbox=0pt%
+ \box\pgf@hbox%
+ }%
+}
+
+\def\pgf@sys@dvi@drawrect#1#2#3#4{%
+ {%
+ \pgf@x=#1%
+ \pgf@y=#2%
+ \pgf@xa=#3%
+ \pgf@ya=#4%
+ \ifdim\pgf@xa<0pt%
+ \advance\pgf@x by\pgf@xa%
+ \pgf@xa=-\pgf@xa%
+ \fi%
+ \ifdim\pgf@ya<0pt%
+ \advance\pgf@y by\pgf@ya%
+ \pgf@ya=-\pgf@ya%
+ \fi%
+ \pgf@sys@dvi@put{\pgf@x}{\pgf@y}{\vrule width\pgf@xa height\pgf@ya}%
+ }%
+}
+
+\def\pgf@sys@dvi@bezier{%
+ {%
+ % First iteration:
+ \pgf@x=\pgf@time@t\pgf@x\advance\pgf@x by\pgf@time@s\pgf@xa%
+ \pgf@y=\pgf@time@t\pgf@y\advance\pgf@y by\pgf@time@s\pgf@ya%
+ \pgf@xa=\pgf@time@t\pgf@xa\advance\pgf@xa by\pgf@time@s\pgf@xb%
+ \pgf@ya=\pgf@time@t\pgf@ya\advance\pgf@ya by\pgf@time@s\pgf@yb%
+ \pgf@xb=\pgf@time@t\pgf@xb\advance\pgf@xb by\pgf@time@s\pgf@xc%
+ \pgf@yb=\pgf@time@t\pgf@yb\advance\pgf@yb by\pgf@time@s\pgf@yc%
+ % Second iteration:
+ \pgf@x=\pgf@time@t\pgf@x\advance\pgf@x by\pgf@time@s\pgf@xa%
+ \pgf@y=\pgf@time@t\pgf@y\advance\pgf@y by\pgf@time@s\pgf@ya%
+ \pgf@xa=\pgf@time@t\pgf@xa\advance\pgf@xa by\pgf@time@s\pgf@xb%
+ \pgf@ya=\pgf@time@t\pgf@ya\advance\pgf@ya by\pgf@time@s\pgf@yb%
+ % Third iteration:
+ \pgf@x=\pgf@time@t\pgf@x\advance\pgf@x by\pgf@time@s\pgf@xa%
+ \pgf@y=\pgf@time@t\pgf@y\advance\pgf@y by\pgf@time@s\pgf@ya%
+ %
+ \advance\pgf@x by-.5\pgf@sys@dvi@linewidth%
+ \advance\pgf@y by-.5\pgf@sys@dvi@linewidth%
+ \pgf@sys@dvi@drawrect{\pgf@x}{\pgf@y}{\pgf@sys@dvi@linewidth}{\pgf@sys@dvi@linewidth}%
+ }%
+}
+
+\def\pgf@sys@dvi@drawcurve#1#2#3#4#5#6#7#8{%
+ {%
+ \pgf@x=#1%
+ \pgf@y=#2%
+ \pgf@xa=#3%
+ \pgf@ya=#4%
+ \pgf@xb=#5%
+ \pgf@yb=#6%
+ \pgf@xc=#7%
+ \pgf@yc=#8%
+ % Compute number of steps:
+ \@tempdima=\pgf@x%
+ \advance\@tempdima by-\pgf@xa%
+ \ifdim\@tempdima<0pt%
+ \@tempdimb=-\@tempdima%
+ \else%
+ \@tempdimb=\@tempdima%
+ \fi%
+ \@tempdima=\pgf@y%
+ \advance\@tempdima by-\pgf@ya%
+ \ifdim\@tempdima<0pt%
+ \@tempdima=-\@tempdima%
+ \fi%
+ \ifdim\@tempdima>\@tempdimb%
+ \@tempdimb=\@tempdima%
+ \fi%
+ \@tempdima=\pgf@xb%
+ \advance\@tempdima by-\pgf@xc%
+ \ifdim\@tempdima<0pt%
+ \@tempdima=-\@tempdima%
+ \fi%
+ \ifdim\@tempdima>\@tempdimb%
+ \@tempdimb=\@tempdima%
+ \fi%
+ \@tempdima=\pgf@yb%
+ \advance\@tempdima by-\pgf@yc%
+ \ifdim\@tempdima<0pt%
+ \@tempdima=-\@tempdima%
+ \fi%
+ \ifdim\@tempdima>\@tempdimb%
+ \@tempdimb=\@tempdima%
+ \fi%
+ \@tempdima=\pgf@x%
+ \advance\@tempdima by-\pgf@xc%
+ \ifdim\@tempdima<0pt%
+ \@tempdima=-\@tempdima%
+ \fi%
+ \ifdim\@tempdima>\@tempdimb%
+ \@tempdimb=\@tempdima%
+ \fi%
+ \@tempdima=\pgf@y%
+ \advance\@tempdima by-\pgf@yc%
+ \ifdim\@tempdima<0pt%
+ \@tempdima=-\@tempdima%
+ \fi%
+ \ifdim\@tempdima>\@tempdimb%
+ \@tempdimb=\@tempdima%
+ \fi%
+ \@tempcnta=\@tempdimb%
+ \ifdim\pgf@sys@dvi@linewidth>0.3pt%
+ \@tempdimb=0.15pt%
+ \else%
+ \ifdim\pgf@sys@dvi@linewidth<0.05pt%
+ \@tempdimb=.025pt%
+ \else%
+ \@tempdimb=.5\pgf@sys@dvi@linewidth%
+ \fi%
+ \fi%
+ \@tempcntb=\@tempdimb%
+ \divide\@tempcnta by\@tempcntb\relax%
+ \ifnum\@tempcnta>0\relax%
+ \@tempcntb=0\relax%
+ \loop%
+ {%
+ \@tempdima=\the\@tempcntb pt%
+ \@tempdimb=\the\@tempcnta pt%
+ \advance\@tempdimb by-\@tempdima\relax%
+ \divide\@tempdima by\@tempcnta\relax%
+ \divide\@tempdimb by\@tempcnta\relax%
+ \edef\pgf@time@t{\pgf@sys@tonumber{\@tempdima}}%
+ \edef\pgf@time@s{\pgf@sys@tonumber{\@tempdimb}}%
+ \pgf@sys@dvi@bezier%
+ }%
+ \advance\@tempcntb by1\relax
+ \ifnum\@tempcntb<\@tempcnta%
+ {\def\pgf@time@t{1}\def\pgf@time@s{0}\pgf@sys@dvi@bezier}%
+ \repeat%
+ \fi%
+ }%
+}
+
+% Text:
+\def\pgfsys@hbox#1{%
+ \wd#1=0pt%
+ \ht#1=0pt%
+ \dp#1=0pt%
+ \pgf@sys@dvi@put{\pgf@sys@dvi@pt@x}{\pgf@sys@dvi@pt@y}{\box#1}%
+}
+
+
+
+% Literals:
+
+\def\pgfsys@invoke#1{#1}
+
+
+% Buffered path construction:
+
+\def\pgfsys@moveto#1#2{\pgfsysprotocol@literal{\noexpand\pgf@sys@dvi@addtopath{\noexpand\pgf@sys@dvi@moveto{#1}{#2}}}}
+\def\pgfsys@lineto#1#2{\pgfsysprotocol@literal{\noexpand\pgf@sys@dvi@addtopath{\noexpand\pgf@sys@dvi@lineto{#1}{#2}}}}
+\def\pgfsys@curveto#1#2#3#4#5#6{\pgfsysprotocol@literal{\noexpand\pgf@sys@dvi@addtopath{\noexpand\pgf@sys@dvi@curveto{#1}{#2}{#3}{#4}{#5}{#6}}}}
+\def\pgfsys@rect#1#2#3#4{\pgfsysprotocol@literal{\noexpand\pgf@sys@dvi@addtopath{\noexpand\pgf@sys@dvi@rect{#1}{#2}{#3}{#4}}}}
+\def\pgfsys@closepath{\pgfsysprotocol@literal{\noexpand\pgf@sys@dvi@addtopath{\noexpand\pgf@sys@dvi@closepath}}}
+
+
+% Scoping
+\def\pgfsys@beginscope{\pgfsysprotocol@literal{\noexpand\pgf@sys@dvi@beginscope}}%
+\def\pgfsys@endscope{\pgfsysprotocol@literal{\noexpand\pgf@sys@dvi@endscope}}%
+
+\def\pgf@sys@dvi@beginscope{%
+ % Save current stuff...
+ \edef\pgf@sys@dvi@return{%
+ \global\pgf@sys@dvi@linewidth=\the\pgf@sys@dvi@linewidth%
+ \global\pgf@sys@dvi@pt@x=\the\pgf@sys@dvi@pt@x%
+ \global\pgf@sys@dvi@pt@y=\the\pgf@sys@dvi@pt@y%
+ \gdef\noexpand\pgf@sys@dvi@pt@aa{\pgf@sys@dvi@pt@aa}%
+ \gdef\noexpand\pgf@sys@dvi@pt@ab{\pgf@sys@dvi@pt@ab}%
+ \gdef\noexpand\pgf@sys@dvi@pt@ba{\pgf@sys@dvi@pt@ba}%
+ \gdef\noexpand\pgf@sys@dvi@pt@bb{\pgf@sys@dvi@pt@bb}%
+ }%
+ \begingroup%
+ \ignorespaces%
+}
+
+\def\pgf@sys@dvi@endscope{%
+ \endgroup%
+ \pgf@sys@dvi@return%
+}
+
+
+
+% Line width
+
+\newdimen\pgf@sys@dvi@linewidth
+\pgf@sys@dvi@linewidth=0.4pt
+
+\def\pgfsys@setlinewidth#1{\global\pgf@sys@dvi@linewidth=#1\relax}
+
+
+% Transformation matrix
+
+\newdimen\pgf@sys@dvi@pt@x
+\newdimen\pgf@sys@dvi@pt@y
+
+\def\pgf@sys@dvi@pt@aa{1.0} \def\pgf@sys@dvi@pt@ab{0.0}
+\def\pgf@sys@dvi@pt@ba{0.0} \def\pgf@sys@dvi@pt@bb{1.0}
+
+\def\pgf@sys@dvi@pos@transform#1#2{%
+ \pgf@pt@temp=#1%
+ #1=\pgf@sys@dvi@pt@aa#1%
+ \advance#1 by\pgf@sys@dvi@pt@ba#2%
+ #2=\pgf@sys@dvi@pt@bb#2%
+ \advance#2 by\pgf@sys@dvi@pt@ab\pgf@pt@temp%
+ \advance#1 by\pgf@sys@dvi@pt@x%
+ \advance#2 by\pgf@sys@dvi@pt@y%
+}
+
+\def\pgf@sys@dvi@transformcm#1#2#3#4#5#6{%
+ {%
+ \pgf@xc=#5%
+ \pgf@yc=#6%
+ %
+ \pgf@x=#1pt%
+ \pgf@y=#2pt%
+ %
+ \pgf@xa=\pgf@sys@dvi@pt@aa\pgf@x%
+ \advance\pgf@xa by \pgf@sys@dvi@pt@ba\pgf@y%
+ %
+ \pgf@ya=\pgf@sys@dvi@pt@ab\pgf@x%
+ \advance\pgf@ya by \pgf@sys@dvi@pt@bb\pgf@y%
+ %
+ \pgf@x=#3pt%
+ \pgf@y=#4pt%
+ %
+ \pgf@xb=\pgf@sys@dvi@pt@aa\pgf@x%
+ \advance\pgf@xb by \pgf@sys@dvi@pt@ba\pgf@y%
+ %
+ \pgf@yb=\pgf@sys@dvi@pt@ab\pgf@x%
+ \advance\pgf@yb by \pgf@sys@dvi@pt@bb\pgf@y%
+ %
+ \pgf@x=\pgf@sys@dvi@pt@aa\pgf@xc%
+ \advance\pgf@x by\pgf@sys@dvi@pt@ba\pgf@yc%
+ \advance\pgf@x by\pgf@sys@dvi@pt@x%
+ %
+ \pgf@y=\pgf@sys@dvi@pt@ab\pgf@xc%
+ \advance\pgf@y by\pgf@sys@dvi@pt@bb\pgf@yc%
+ \advance\pgf@y by\pgf@sys@dvi@pt@y%
+ %
+ \global\pgf@sys@dvi@pt@x=\pgf@x%
+ \global\pgf@sys@dvi@pt@y=\pgf@y%
+ \xdef\pgf@sys@dvi@pt@aa{\pgf@sys@tonumber{\pgf@xa}}%
+ \xdef\pgf@sys@dvi@pt@ab{\pgf@sys@tonumber{\pgf@ya}}%
+ \xdef\pgf@sys@dvi@pt@ba{\pgf@sys@tonumber{\pgf@xb}}%
+ \xdef\pgf@sys@dvi@pt@bb{\pgf@sys@tonumber{\pgf@yb}}%
+ }%
+}
+
+\def\pgfsys@transformcm#1#2#3#4#5#6{%
+ {%
+ \pgf@x=#5\relax%
+ \pgf@y=#6\relax%
+ \pgfsysprotocol@literal{\noexpand\pgf@sys@dvi@transformcm{#1}{#2}{#3}{#4}{\the\pgf@x}{\the\pgf@y}}%
+ }%
+}
+
+
+% Stroking
+
+\def\pgfsys@stroke{\pgfsysprotocol@literal{\noexpand\pgf@sys@dvi@stroke}}%
+
+
+\def\pgf@sys@dvi@stroke{%
+ \let\pgf@sys@dvi@moveto=\pgf@sys@dvi@moveto@stroke%
+ \let\pgf@sys@dvi@lineto=\pgf@sys@dvi@lineto@stroke%
+ \let\pgf@sys@dvi@curveto=\pgf@sys@dvi@curveto@stroke%
+ \let\pgf@sys@dvi@rect=\pgf@sys@dvi@rect@stroke%
+ \let\pgf@sys@dvi@closepath=\pgf@sys@dvi@closepath@stroke%
+ {\the\pgf@sys@dvi@path}%
+ \pgf@sys@dvi@path{}%
+}
+
+\def\pgf@sys@dvi@moveto@stroke#1#2{%
+ % These two store the current position:
+ \pgf@xc=#1\relax%
+ \pgf@yc=#2\relax%
+ % These two store the last moveto:
+ \pgf@xb=\pgf@xc%
+ \pgf@yb=\pgf@yc%
+}
+
+\def\pgf@sys@dvi@lineto@stroke#1#2{%
+ {%
+ \pgf@xa=#1\relax%
+ \pgf@ya=#2\relax%
+ \pgf@x=\pgf@xc%
+ \pgf@y=\pgf@yc%
+ \pgf@sys@dvi@pos@transform{\pgf@xa}{\pgf@ya}%
+ \pgf@sys@dvi@pos@transform{\pgf@x}{\pgf@y}%
+ % Now, we need to draw a line from (x/y) to (xa/ya)
+ %
+ % Horizontal?
+ \ifdim\pgf@y=\pgf@ya%
+ % Ok, that should be easy...
+ \pgf@xb=\pgf@xa%
+ \advance\pgf@xb by-\pgf@x%
+ \advance\pgf@y by-0.5\pgf@sys@dvi@linewidth%
+ \pgf@sys@dvi@drawrect{\pgf@x}{\pgf@y}{\pgf@xb}{\pgf@sys@dvi@linewidth}%
+ \else%
+ \ifdim\pgf@x=\pgf@xa%
+ % Ok, also easy...
+ \pgf@yb=\pgf@ya%
+ \advance\pgf@yb by-\pgf@y%
+ \advance\pgf@x by-0.5\pgf@sys@dvi@linewidth%
+ \pgf@sys@dvi@drawrect{\pgf@x}{\pgf@y}{\pgf@sys@dvi@linewidth}{\pgf@yb}%
+ \else%
+ \edef\pgf@marshal{\noexpand\pgf@sys@dvi@drawcurve{\the\pgf@x}{\the\pgf@y}{\the\pgf@x}{\the\pgf@y}{\the\pgf@xa}{\the\pgf@ya}{\the\pgf@xa}{\the\pgf@ya}}%
+ \pgf@marshal%
+ \fi%
+ \fi%
+ }%
+ % Remember:
+ \pgf@xc=#1\relax%
+ \pgf@yc=#2\relax%
+}
+
+
+\def\pgf@sys@dvi@curveto@stroke#1#2#3#4#5#6{%
+ \pgf@x=\pgf@xc%
+ \pgf@y=\pgf@yc%
+ \pgf@xa=#1%
+ \pgf@ya=#2%
+ \pgf@xb=#3%
+ \pgf@yb=#4%
+ \pgf@xc=#5%
+ \pgf@yc=#6%
+ {%
+ \pgf@sys@dvi@pos@transform{\pgf@x}{\pgf@y}%
+ \pgf@sys@dvi@pos@transform{\pgf@xa}{\pgf@ya}%
+ \pgf@sys@dvi@pos@transform{\pgf@xb}{\pgf@yb}%
+ \pgf@sys@dvi@pos@transform{\pgf@xc}{\pgf@yc}%
+ \pgf@sys@dvi@drawcurve{\pgf@x}{\pgf@y}{\pgf@xa}{\pgf@ya}{\pgf@xb}{\pgf@yb}{\pgf@xc}{\pgf@yc}%
+ }%
+}
+
+\def\pgf@sys@dvi@closepath@stroke{%
+ \pgf@sys@dvi@lineto@stroke{\pgf@xc}{\pgf@yc}%
+}
+
+\def\pgf@sys@dvi@rect@stroke#1#2#3#4{%
+ \pgf@x=#1\relax%
+ \pgf@y=#2\relax%
+ \pgf@xa=#3\relax%
+ \pgf@ya=#4\relax%
+ \advance\pgf@xa by\pgf@x%
+ \advance\pgf@ya by\pgf@y%
+ \pgf@sys@dvi@moveto@stroke{\pgf@x}{\pgf@y}%
+ \pgf@sys@dvi@lineto@stroke{\pgf@xa}{\pgf@y}%
+ \pgf@sys@dvi@lineto@stroke{\pgf@xa}{\pgf@ya}%
+ \pgf@sys@dvi@lineto@stroke{\pgf@x}{\pgf@ya}%
+ \pgf@sys@dvi@closepath@stroke%
+}
+
+
+
+\endinput
+
+%%% Local Variables:
+%%% mode: latex
+%%% End:
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfm.def b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfm.def
index 224197f9b51..88cd20046e0 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfm.def
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfm.def
@@ -1,12 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-dvipdfm.def,v 1.7 2005/09/30 07:14:03 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-dvipdfm.def,v 1.10 2006/10/11 15:22:26 tantau Exp $
% Driver commands for dvipdfm
@@ -43,7 +44,7 @@
\def\pgfsys@beginpurepicture{\special{pdf: content q}}
-\def\pgf@sys@pdf@addtopageresources#1{%
+\def\pgf@sys@pdf@addtopageresources@extgs#1{%
\ifx\pgf@sys@pdf@obj\@undefined%
\global\let\pgf@sys@pdf@obj=\relax%
\special{pdf: obj @pgfopacities << >>}%
@@ -51,7 +52,7 @@
\special{pdf: put @pgfopacities << #1 >>}%
\special{pdf: put @resources << /ExtGState @pgfopacities >>}%
}
-\def\pgf@sys@pdf@readdtopageresources#1{%
+\def\pgf@sys@pdf@readdtopageresources@extgs#1{%
\special{pdf: put @resources << /ExtGState @pgfopacities >>}%
}
@@ -101,6 +102,10 @@
\pgf@process{\pgfpoint{\pgf@max}{\pgf@max}}%
\advance\pgf@xa by \pgf@x\relax%
\advance\pgf@ya by \pgf@y\relax%
+ \pgf@sys@bp@correct{\pgf@x}%
+ \pgf@sys@bp@correct{\pgf@y}%
+ \pgf@sys@bp@correct{\pgf@xa}%
+ \pgf@sys@bp@correct{\pgf@ya}%
\@tempdima=2\pgf@max\relax%
\edef\@temp{\noexpand\pgf@sys@atbeginpage{\special{pdf: beginxobj @pgfshade#1 width \the\@tempdima\space height \the\@tempdima}}}\@temp%
\edef\@temp{\noexpand\pgf@sys@atbeginpage{\special{pdf: put @resources <<
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvips.def b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvips.def
index 75e0a857445..a633f7cc4e9 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvips.def
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvips.def
@@ -1,18 +1,19 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-dvips.def,v 1.10 2005/10/25 08:18:14 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-dvips.def,v 1.14 2006/10/11 15:22:26 tantau Exp $
% Driver commands for dvips
\def\pgfsys@invoke#1{\special{ps:: #1}}
\def\pgfsys@outerinvoke#1{\special{ps: #1}}
-\def\pgf@sys@postscript@header#1{\special{! #1}}
+\def\pgf@sys@postscript@header#1{\AtBeginDvi{\special{! #1}}}
\def\pgf@sys@postscript@object#1{\special{! #1}}
@@ -50,9 +51,11 @@
\def\pgfsys@color@unstacked#1{\special{ps: \XC@usecolor{#1}}}
\def\pgfsys@imagesuffixlist{epsi:eps:ps}
-\AtBeginDocument{
- % Always present specials.
- \special{!
+\def\pgfsys@papersize#1#2{%
+ \expandafter\gdef\expandafter\pgfsys@atbegindocument\expandafter{\pgfsys@atbegindocument\special{papersize=#1,#2}}}
+
+\expandafter\gdef\expandafter\pgfsys@atbegindocument\expandafter{\pgfsys@atbegindocument%
+ \pgf@sys@postscript@header{
/pgfsc{}B% stroke color is empty by default
/pgffc{}B% fill color is empty by default
/pgfstr{stroke}B%
@@ -78,7 +81,12 @@
/pgffoa 1 def
/pgfsoa 1 def
end
- }
+ }%
+}
+
+\AtBeginDocument{ % needed for plain TeX
+ \pgfsys@atbegindocument
+ \let\pgfsys@atbegindocument=\relax
}
\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def
index 79697fbb9f6..ce86689204c 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def
@@ -1,11 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-pdftex.def,v 1.4 2005/10/06 13:16:09 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-pdftex.def,v 1.12 2006/10/11 15:22:26 tantau Exp $
% Driver commands for pdf
@@ -40,23 +42,46 @@
}%
}
-\let\pgf@sys@pgf@resource@list=\@empty%
-\def\pgf@sys@pdf@addtopageresources#1{%
- \xdef\pgf@sys@pgf@resource@list{\pgf@sys@pgf@resource@list\space#1}%
- \edef\pgf@temp{{<<\pgf@sys@pgf@resource@list>>}}%
- \expandafter\immediate\expandafter\pdfobj\pgf@temp%
- \edef\pgf@temp{{/ExtGState \the\pdflastobj\space 0 R}}
- \expandafter\global\expandafter\pdfpageresources\pgf@temp%
+\let\pgf@sys@pgf@resource@list@extgs=\pgf@empty%
+\let\pgf@sys@pgf@resource@list@patterns=\pgf@empty%
+
+\def\pgf@sys@pdf@addtopageresources@extgs#1{%
+ \xdef\pgf@sys@pgf@resource@list@extgs{\pgf@sys@pgf@resource@list@extgs\space#1}%
+ \pgf@sys@pdf@updateresources%
+}
+
+\def\pgf@sys@pdf@addtopageresources@patterns#1{%
+ \xdef\pgf@sys@pgf@resource@list@patterns{\pgf@sys@pgf@resource@list@patterns\space#1}%
+ \pgf@sys@pdf@updateresources%
+}
+
+\def\pgf@sys@pdf@updateresources{%
+ \let\pgf@temp=\pgf@empty%
+ \ifx\pgf@sys@pgf@resource@list@extgs\pgf@empty%
+ \else%
+ \immediate\pdfobj{<<\pgf@sys@pgf@resource@list@extgs>>}%
+ \edef\pgf@temp{/ExtGState \the\pdflastobj\space 0 R\space}%
+ \fi%
+ \ifx\pgf@sys@pgf@resource@list@patterns=\pgf@empty%
+ \else%
+ \immediate\pdfobj{<<\pgf@sys@pgf@resource@list@patterns>>}%
+ \edef\pgf@temp{%
+ \pgf@temp%
+ /ColorSpace << /pgfprgb [/Pattern /DeviceRGB] >>
+ /Pattern \the\pdflastobj\space 0 R\space%
+ }%
+ \fi%
+ \expandafter\global\expandafter\pdfpageresources\expandafter{\pgf@temp}%
}
\def\pgfsys@imagesuffixlist{pdf:jpg:jpeg:png}
\def\pgfsys@defineimage{% width, height, page number
- \ifx\pgf@imagewidth\@empty\else\edef\pgf@imagewidth{ width \pgf@imagewidth }\fi%
- \ifx\pgf@imageheight\@empty\else\edef\pgf@imageheight{ height \pgf@imageheight }\fi%
- \ifx\pgf@imagepage\@empty\else\edef\pgf@imagepage{ page \pgf@imagepage }\fi%
+ \ifx\pgf@imagewidth\pgf@empty\else\edef\pgf@imagewidth{ width \pgf@imagewidth }\fi%
+ \ifx\pgf@imageheight\pgf@empty\else\edef\pgf@imageheight{ height \pgf@imageheight }\fi%
+ \ifx\pgf@imagepage\pgf@empty\else\edef\pgf@imagepage{ page \pgf@imagepage }\fi%
\ifx\pdfximage\@undefined% old version of pdflatex
- \ifx\pgf@imagepage\@empty\else%
+ \ifx\pgf@imagepage\pgf@empty\else%
\PackageWarning{pgf}{Page selection not supported. Ignoring
page selection}%
\fi%
@@ -72,7 +97,7 @@
\fi
}%
\def\pgfsys@definemask{%
- \ifx\pgf@maskmatte\@empty%
+ \ifx\pgf@maskmatte\pgf@empty%
\else%
\edef\pgf@maskmatte{/Matte [\pgf@maskmatte]}%
\fi%
@@ -120,6 +145,10 @@
\pgf@process{\pgfpoint{\pgf@max}{\pgf@max}}%
\advance\pgf@xa by \pgf@x%
\advance\pgf@ya by \pgf@y%
+ \pgf@sys@bp@correct{\pgf@x}%
+ \pgf@sys@bp@correct{\pgf@y}%
+ \pgf@sys@bp@correct{\pgf@xa}%
+ \pgf@sys@bp@correct{\pgf@ya}%
\pdfxform resources {%
/Shading << /Sh << /ShadingType 3
/ColorSpace /DeviceRGB
@@ -131,6 +160,55 @@
}%
}%
+
+
+% Patterns
+
+\def\pgfsys@declarepattern#1#2#3#4#5#6#7#8#9{%
+ % Start building the pattern dictionary:
+ \pgf@xa=#2\relax%
+ \pgf@ya=#3\relax%
+ \pgf@xb=#4\relax%
+ \pgf@yb=#5\relax%
+ \pgf@xc=#6\relax%
+ \pgf@yc=#7\relax%
+ \pgf@sys@bp@correct\pgf@xa%
+ \pgf@sys@bp@correct\pgf@ya%
+ \pgf@sys@bp@correct\pgf@xb%
+ \pgf@sys@bp@correct\pgf@yb%
+ \pgf@sys@bp@correct\pgf@xc%
+ \pgf@sys@bp@correct\pgf@yc%
+ % Now create the pattern object:
+ \immediate\pdfobj stream
+ attr
+ {
+ /Type /Pattern
+ /PatternType 1
+ /PaintType \ifnum#9=0 2 \else 1 \fi
+ /TilingType 1
+ /BBox [\pgf@sys@tonumber\pgf@xa\space\pgf@sys@tonumber\pgf@ya\space\pgf@sys@tonumber\pgf@xb\space\pgf@sys@tonumber\pgf@yb]
+ /XStep \pgf@sys@tonumber\pgf@xc\space
+ /YStep \pgf@sys@tonumber\pgf@yc\space
+ /Resources << >>
+ }
+ {#8}%
+ \pgf@sys@pdf@addtopageresources@patterns{/pgfpat#1\space \the\pdflastobj\space 0 R}%
+}
+
+\def\pgfsys@setpatternuncolored#1#2#3#4{%
+ \pgfsysprotocol@literal{/pgfprgb cs #2 #3 #4 /pgfpat#1\space scn}%
+}
+
+\def\pgfsys@setpatterncolored#1{%
+ \pgfsysprotocol@literal{/Pattern cs /pgfpat#1\space scn}%
+}
+
+
+\def\pgfsys@papersize#1#2{%
+ \pdfpageheight#2%
+ \pdfpagewidth#1}
+
+
% XForm version, crashes ghostview.
%\def\pgfsys@defobject#1#2#3#4{%
% \pgf@process{#2}
@@ -161,6 +239,31 @@
% \box\pgfobjectbox%
% \pgfsys@endscope}
+
+
+%
+% Position tracking
+%
+\def\pgfsys@markposition#1{%
+ \pdfsavepos%
+ \edef\pgf@temp{#1}%
+ \expandafter\write\expandafter\@auxout\expandafter{%
+ \expandafter\noexpand\expandafter\pgf@sys@pdf@mark\expandafter{\pgf@temp}{\the\pdflastxpos}{\the\pdflastypos}}%
+}
+
+\def\pgf@sys@pdf@mark#1#2#3{%
+ \expandafter\gdef\csname pgf@sys@pdf@mark@pos@#1\endcsname{\pgfqpoint{#2sp}{#3sp}}%
+}
+
+\def\pgfsys@getposition#1#2{%
+ \edef\pgf@marshal{\let\noexpand#2=\expandafter\noexpand\csname pgf@sys@pdf@mark@pos@#1\endcsname}%
+ \pgf@marshal%
+}
+
+\def\pgf@sys@pdf@mark@pos@pgfpageorigin{\pgfpointorigin}
+
+
+
\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-tex4ht.def b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-tex4ht.def
index 016f909d24f..5bab839a2db 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-tex4ht.def
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-tex4ht.def
@@ -1,9 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-tex4ht.def,v 1.9 2005/11/15 17:46:37 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-tex4ht.def,v 1.13 2006/10/11 15:22:26 tantau Exp $
\RequirePackage{xcolor}
@@ -104,7 +108,7 @@
\pgf@x=.5\wd#1%
\ifx\tikz@textcolor\relax%
\else%
- \ifx\tikz@textcolor\@empty%
+ \ifx\tikz@textcolor\pgf@empty%
\pgfsetfillcolor{.}%
\else%
\pgfsetfillcolor{\tikz@textcolor}%
@@ -115,7 +119,7 @@
transform="scale(1,-1) translate(\pgf@sys@tonumber{\pgf@x},0)"
text-anchor="middle"
}%
- \ifx\f@size\@empty%
+ \ifx\f@size\pgf@empty%
\else%
\HCode{ font-size="\f@size"}%
\fi%
@@ -127,7 +131,7 @@
\HCode{</text>\Hnewline }%
}
-\def\pgfsys@outerinvoke{\ifpgfpicture\expandafter\pgfsys@invoke\else\expandafter\@gobble\fi}
+\def\pgfsys@outerinvoke{\ifpgfpicture\expandafter\pgfsys@invoke\else\expandafter\pgf@gobble\fi}
\def\pgfsys@shadingoutsidepgfpicture#1{%
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-textures.def b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-textures.def
index 34448c295a0..2239a0166ec 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-textures.def
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-textures.def
@@ -1,11 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-textures.def,v 1.2 2005/11/09 08:52:19 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-textures.def,v 1.4 2006/10/11 15:22:26 tantau Exp $
% Driver commands for textures driver
@@ -29,7 +31,7 @@
\def\pgfsys@beginpicture{%
\special{rawpostscript save}%
\special{rawpostscript save pgfgetcoords}%
- \special{postscript}% here come the coordiantes
+ \special{postscript}% here come the coordinates
\special{rawpostscript restore}%
\special{rawpostscript pgfbeginpicture}}
\def\pgfsys@endpicture{\special{rawpostscript restore}}
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-vtex.def b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-vtex.def
index 197a3e14e0a..cac83871b86 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-vtex.def
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-vtex.def
@@ -1,11 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-vtex.def,v 1.4 2005/10/25 08:39:23 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys-vtex.def,v 1.6 2006/10/11 15:22:26 tantau Exp $
% Driver commands for vtex
@@ -39,7 +41,7 @@
}
\def\pgf@sys@vtex@setcolor#1{%
\colorlet{pgf@tempcolor}{#1}%
- \@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
+ \pgf@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
\expandafter\expandafter\expandafter\pgf@sys@vtex@@setcolor\csname\string\color@pgf@tempcolor\endcsname%
}
\def\pgf@sys@vtex@@setcolor#1#2#3#4#5{%
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
index 22b257f7448..6057cbec149 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex
@@ -1,11 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys.code.tex,v 1.9 2005/10/18 18:03:38 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsys.code.tex,v 1.18 2006/10/11 15:22:26 tantau Exp $
%
@@ -36,6 +38,51 @@
}%
}
+
+%
+% Useful commands that are used throughout pgf. The corresponding
+% latex commands are not used because a) latex might not be in use and
+% b) the latex commands are redefined by some *very vile and evil*
+% packages.
+%
+\long\def\pgf@ifundefined#1{%
+ \expandafter\ifx\csname#1\endcsname\relax
+ \expandafter\pgf@firstoftwo
+ \else
+ \expandafter\pgf@secondoftwo
+ \fi}
+\def\pgf@firstoftwo#1#2{#1}
+\def\pgf@secondoftwo#1#2{#2}
+\def\pgf@empty{}
+\def\pgf@gobble#1{}
+\def\pgf@gobbletwo#1#2{}
+\long\def\pgf@ifnextchar#1#2#3{%
+ \let\reserved@d=#1%
+ \def\reserved@a{#2}%
+ \def\reserved@b{#3}%
+ \futurelet\pgf@let@token\pgf@ifnch}
+\def\pgf@ifnch{%
+ \ifx\pgf@let@token\pgf@sptoken
+ \let\reserved@c\pgf@xifnch
+ \else
+ \ifx\pgf@let@token\reserved@d
+ \let\reserved@c\reserved@a
+ \else
+ \let\reserved@c\reserved@b
+ \fi
+ \fi
+ \reserved@c}
+\def\:{\global\let\pgf@sptoken= } \:
+\def\:{\pgf@xifnch} \expandafter\def\: {\futurelet\pgf@let@token\pgf@ifnch}
+\def\pgf@namedef#1{\expandafter\def\csname #1\endcsname}
+\long\def\pgf@g@addto@macro#1#2{%
+ \begingroup
+ \toks@\expandafter{#1#2}%
+ \xdef#1{\the\toks@}%
+ \endgroup}
+
+
+
% internal dimensions that are always present when pgsys is loaded.
\newdimen\pgf@x
\newdimen\pgf@y
@@ -73,9 +120,9 @@
% given at the end.
\def\pgf@sys@fail#1{%
- \expandafter\ifx\csname pgf@sys@fail@#1\endcsname\@empty%
+ \expandafter\ifx\csname pgf@sys@fail@#1\endcsname\pgf@empty%
\else%
- \expandafter\global\expandafter\let\csname pgf@sys@fail@#1\endcsname=\@empty%
+ \expandafter\global\expandafter\let\csname pgf@sys@fail@#1\endcsname=\pgf@empty%
\PackageWarning{pgf}{%
Your graphic driver \pgfsysdriver\space does not supported #1. This warning is given only once}%
\fi%
@@ -543,6 +590,84 @@
% The parameter #2 is a pgf point specification if the starting point
% of the shading. See the pgfuserguide for details.
+
+
+
+
+%
+%
+% Pattern stuff
+%
+%
+
+\def\pgfsys@declarepattern#1#2#3#4#5#6#7#8#9{\pgf@sys@fail{patterns}}
+% This command declares a new colored or uncolored pattern. Uncolored
+% patterns have no inherent color, the color is provided when they are
+% set. Colored patters have an inherent color.
+% #1 = name of the pattern (must be a plain suffix for use in
+% postscript/pdf/etc.)
+% #2 to #5 = four coordinates describing the corners of a bounding box
+% of pattern cells
+% #6 = x-step
+% #7 = y-step
+% #8 = pattern code
+% #9 = 0 if uncolored patter, 1 if colored pattern.
+
+\def\pgfsys@setpatternuncolored#1#2#3#4{\pgf@sys@fail{patterns}}
+% Sets an uncolored pattern #1 as filling color. The numbers #2, #3,
+% #4 must be an rgb-value to be used as the color of the pattern.
+
+\def\pgfsys@setpatterncolored#1{\pgf@sys@fail{patterns}}
+% Sets an colored pattern #1 as filling color.
+
+
+%
+%
+% Page size stuff
+%
+%
+\def\pgfsys@papersize#1#2{\pgf@sys@fail{papersize}}
+% This command sets the paper size in a portable way.
+% #1 = width
+% #2 = height
+
+
+
+%
+%
+% Position tracking commands
+%
+%
+
+% Marks the current position on the page. This position can later be
+% referenced using \pgfsys@getposition
+\def\pgfsys@markposition#1{\pgf@sys@fail{marking the current position}}
+
+% Sets #2 to a pgfpoint macro that returns the position #1 is
+% returned in a coordinate system where the x-axis goes right and the
+% y-axis goes up. The origin of this coordinate system may or may not
+% lie in the lower left corner; you should shift the coordinate system
+% to the position "pgfpageorigin" to make sure that the origin is at
+% the lower left corner. Typically, getting this position
+% requires two runs of TeX. On the first run, the macro will be set to
+% \relax, indicating that the position is not available.
+%
+% If #1 is set to the special position "pgfpageorigin", the position
+% of the the lower left page corner is returned.
+
+\def\pgfsys@getposition#1#2{\let#2=\relax}
+
+
+
+%
+%
+% Commands having a default implementation. These commands only need
+% not be implemented by drivers if this results in a better
+% preformance.
+%
+%
+
+
\def\pgfsys@shadingoutsidepgfpicture#1{%
#1%
}
@@ -568,15 +693,6 @@
-%
-%
-% Commands having a default implementation. These commands only need
-% not be implemented by drivers if this results in a better
-% preformance.
-%
-%
-
-
\def\pgfsys@closestroke{\pgfsys@closepath\pgfsys@stroke}
% This command should have the same effect as first closing the path
% and then stroking it.
@@ -608,7 +724,7 @@
{\pgfsys@beginscope\pgflowlevelsynccm\pgfsys@hbox#1\pgfsys@endscope}%
}
% Called to insert a TeX hbox into a pgfpicture, but with the current
-% coordiante transformation matrix synced with the canvas
+% coordinate transformation matrix synced with the canvas
% transformation matrix.
%
% In essence, this command does the same as if you first said
@@ -651,9 +767,9 @@
% Called at the end of a ``pure'' pgfpicture.
\def\pgfsys@defineimage{%
- \ifx\pgf@imagewidth\@empty\else\edef\pgf@imagewidth{width=\pgf@imagewidth,}\fi%
- \ifx\pgf@imageheight\@empty\else\edef\pgf@imageheight{height=\pgf@imageheight,}\fi%
- \ifx\pgf@imagepage\@empty\else\edef\pgf@imagepage{page=\pgf@imagepage,}\fi%
+ \ifx\pgf@imagewidth\pgf@empty\else\edef\pgf@imagewidth{width=\pgf@imagewidth,}\fi%
+ \ifx\pgf@imageheight\pgf@empty\else\edef\pgf@imageheight{height=\pgf@imageheight,}\fi%
+ \ifx\pgf@imagepage\pgf@empty\else\edef\pgf@imagepage{page=\pgf@imagepage,}\fi%
\edef\pgf@image{\noexpand\includegraphics[\pgf@imageheight\pgf@imagewidth]{\pgf@filename}}%
}
% Called, when an image should be defined.
@@ -706,7 +822,7 @@
\def\pgfsys@defobject#1#2#3#4{%
\pgfsysprotocol@getcurrentprotocol\pgfsys@temp%
{%
- \pgfsysprotocol@setcurrentprotocol\@empty%
+ \pgfsysprotocol@setcurrentprotocol\pgf@empty%
\pgfsysprotocol@bufferedtrue%
#4%
\pgfsysprotocol@getcurrentprotocol\pgfsys@@temp%
@@ -727,7 +843,7 @@
\def\pgfsys@useobject#1#2{%
\pgfsysprotocol@getcurrentprotocol\pgfsys@temp%
{%
- \pgfsysprotocol@setcurrentprotocol\@empty%
+ \pgfsysprotocol@setcurrentprotocol\pgf@empty%
\pgfsysprotocol@bufferedfalse%
#2%
\expandafter\pgfsysprotocol@setcurrentprotocol\csname #1\endcsname%
@@ -751,6 +867,20 @@
% nested. In this case, only the `last' one restores visibility.
+\def\pgfsys@atbegindocument{}
+% This command will be executed at the begin of the document. If for
+% whatever reason this is not done, you may wish to execute this
+% command yourself. It will setup certain specials that need to be
+% inserted into the resulting .pdf/.ps/.xxx file.
+
+
+
+\AtBeginDocument{
+ \pgfsys@atbegindocument
+ \let\pgfsys@atbegindocument=\relax
+}
+
+
% Discern the driver:
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex
index 119fc5d7128..a241c6fbf75 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex
@@ -1,11 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsysprotocol.code.tex,v 1.1.1.1 2005/06/29 12:14:04 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsysprotocol.code.tex,v 1.3 2006/10/11 15:22:26 tantau Exp $
@@ -22,14 +24,14 @@
-\let\pgfsysprotocol@currentprotocol=\@empty
+\let\pgfsysprotocol@currentprotocol=\pgf@empty
\newif\ifpgfsysprotocol@buffered
% Add to the protocol buffered
\def\pgfsysprotocol@literalbuffered#1{%
\edef\pgfsysprotocol@temp{{#1\space}}%
- \expandafter\g@addto@macro\expandafter\pgfsysprotocol@currentprotocol\pgfsysprotocol@temp%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfsysprotocol@currentprotocol\pgfsysprotocol@temp%
}
% Add to the protocol
@@ -53,7 +55,7 @@
% Invoking the current protocol
\def\pgfsysprotocol@invokecurrentprotocol{%
- \ifx\pgfsysprotocol@currentprotocol\@empty%
+ \ifx\pgfsysprotocol@currentprotocol\pgf@empty%
\else%
\expandafter\pgfsys@invoke\expandafter{\pgfsysprotocol@currentprotocol}%
\fi%
@@ -61,7 +63,7 @@
\def\pgfsysprotocol@flushcurrentprotocol{%
\pgfsysprotocol@invokecurrentprotocol%
- \pgfsysprotocol@setcurrentprotocol\@empty%
+ \pgfsysprotocol@setcurrentprotocol\pgf@empty%
}
diff --git a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex
index 1eecaf431e9..d92f0402782 100644
--- a/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex
@@ -1,10 +1,13 @@
-\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsyssoftpath.code.tex,v 1.1.1.1 2005/06/29 12:14:05 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/systemlayer/pgfsyssoftpath.code.tex,v 1.3 2006/10/11 15:22:26 tantau Exp $
% This package provides the pgf system path abstraction layer. This
@@ -34,7 +37,7 @@
-\let\pgfsyssoftpath@currentpath=\@empty
+\let\pgfsyssoftpath@currentpath=\pgf@empty
% The current path
\def\pgfsyssoftpath@lastmoveto{{0pt}{0pt}}
@@ -44,7 +47,7 @@
\edef\pgfsyssoftpath@temp{{%
\noexpand\pgfsyssoftpath@movetotoken{#1}{#2}%
}}%
- \expandafter\g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
\xdef\pgfsyssoftpath@lastmoveto{{#1}{#2}}%
}
@@ -53,7 +56,7 @@
\edef\pgfsyssoftpath@temp{{%
\noexpand\pgfsyssoftpath@linetotoken{#1}{#2}%
}}%
- \expandafter\g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
}
% Add curveto elements to the current path
@@ -63,7 +66,7 @@
\noexpand\pgfsyssoftpath@curvetosupportbtoken{#3}{#4}%
\noexpand\pgfsyssoftpath@curvetotoken{#5}{#6}%
}}%
- \expandafter\g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
}
% Add rectanlge elements to the current path
@@ -72,7 +75,7 @@
\noexpand\pgfsyssoftpath@rectcornertoken{#1}{#2}%
\noexpand\pgfsyssoftpath@rectsizetoken{#3}{#4}%
}}%
- \expandafter\g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
}
% Add closepath element to the current path
@@ -80,7 +83,7 @@
\edef\pgfsyssoftpath@temp{{%
\noexpand\pgfsyssoftpath@closepathtoken\pgfsyssoftpath@lastmoveto%
}}%
- \expandafter\g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
}
% Add special element to the current path
@@ -88,7 +91,7 @@
\edef\pgfsyssoftpath@temp{{%
\noexpand\pgfsyssoftpath@specialroundtoken{#1}{#2}%
}}%
- \expandafter\g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
+ \expandafter\pgf@g@addto@macro\expandafter\pgfsyssoftpath@currentpath\pgfsyssoftpath@temp%
}
@@ -109,7 +112,7 @@
\def\pgfsyssoftpath@flushcurrentpath{%
\pgfsyssoftpath@invokecurrentpath%
- \pgfsyssoftpath@setcurrentpath\@empty%
+ \pgfsyssoftpath@setcurrentpath\pgf@empty%
}
% Marshallers
@@ -118,7 +121,7 @@
\def\pgfsyssoftpath@rectcornertoken#1#2#3#4#5{\pgfsys@rect{#1}{#2}{#4}{#5}} % #3 = \pgfsyssoftpath@rectsizetoken
\def\pgfsyssoftpath@curvetosupportatoken#1#2#3#4#5#6#7#8{\pgfsys@curveto{#1}{#2}{#4}{#5}{#7}{#8}}
\def\pgfsyssoftpath@closepathtoken#1#2{\pgfsys@closepath}
-\let\pgfsyssoftpath@specialroundtoken=\@gobbletwo
+\let\pgfsyssoftpath@specialroundtoken=\pgf@gobbletwo
\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/utilities/pgf-latex-emulation.tex b/Master/texmf-dist/tex/generic/pgf/utilities/pgf-latex-emulation.tex
index 139ac162264..257741a3c9a 100644
--- a/Master/texmf-dist/tex/generic/pgf/utilities/pgf-latex-emulation.tex
+++ b/Master/texmf-dist/tex/generic/pgf/utilities/pgf-latex-emulation.tex
@@ -1,10 +1,12 @@
-% This file is pgf-latex-emulation.tex
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\catcode`\@=11\relax
@@ -14,7 +16,6 @@
\else%
% Direct copy from latex.ltx:
-\long\def\@ifundefined#1#2#3{\expandafter\ifx\csname #1\endcsname\relax#2\else#3\fi}
\def\typeout#1{\immediate\write\@unused{#1}}
\alloc@7\write\chardef\sixt@@n\@unused
\let\@@par=\par
@@ -118,6 +119,10 @@
\gdef\Gin@driver{pdftex.def}%
\fi%
+% aux files
+\newwrite\@auxout
+\IfFileExists{\jobname.aux}{\input \jobname.aux\relax}{}
+\openout\@auxout
% Things that are not too clever, yet:
\def\selectfont{\rm}
@@ -144,6 +149,7 @@
\definecolor{purple}{rgb}{0.75,0,0.25}
\definecolor{brown}{rgb}{0.75,0.5,0.25}
+\ifx\color\@undefined
\def\color#1{%
\colorlet{.}{#1}%
\pgfsysprotocol@getcurrentprotocol\pgf@emu@temp%
@@ -156,6 +162,8 @@
\pgfsysprotocol@setcurrentprotocol\pgf@emu@temp%
\aftergroup\reset@color%
}
+\fi
+
\def\reset@color{%
\pgfsysprotocol@getcurrentprotocol\pgf@emu@temp%
{%
diff --git a/Master/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex b/Master/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
index 6d381dcbdec..86b4106af18 100644
--- a/Master/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
@@ -1,11 +1,13 @@
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/utilities/pgffor.code.tex,v 1.2 2005/07/06 15:58:58 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/utilities/pgffor.code.tex,v 1.4 2006/10/11 15:22:26 tantau Exp $
\newdimen\pgffor@iter
\newdimen\pgffor@skip
@@ -15,9 +17,14 @@
\let\pgffor@endhook=\@empty
\let\pgffor@afterhook=\@empty
+\def\pgffor@emptyvalues{, \pgffor@stop,}%
+
\def\foreach#1in#2{%
\def\pgffor@var{#1}%
\def\pgffor@values{#2, \pgffor@stop,}%
+ \ifx\pgffor@values\pgffor@emptyvalues
+ \def\pgffor@values{\pgffor@stop,}%
+ \fi%
\let\pgffor@body\@empty%
\global\pgffor@continuetrue%
\pgffor@collectbody}
diff --git a/Master/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex b/Master/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
index b744514f544..68c5150641a 100644
--- a/Master/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
@@ -1,7 +1,13 @@
-% Copyright 2005 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
% The purpose of this file is to define the command
% \ProvidesPackageRCS, which should be followed by an RCS id
@@ -9,7 +15,7 @@
% prints out a message to the log.
-\def\pgfversion{1.01}
+\def\pgfversion{1.09}
\ifx\pgfrcsloaded\undefined
@@ -35,12 +41,17 @@
\pgf@parsercsfile$#2$
\fi}
-\def\ProvidesFileRCS $#1${
- \pgf@parseid $#1$
- \ProvidesFile{\pgf@rcsfile.\pgf@rcssuffix}[\pgf@rcsdate\space (rcs-revision \pgf@rcsrevision)]
+\def\ProvidesFileRCS{%
+ \def\pgfrcs@marshal{\ProvidesFile{\pgf@rcsfile.\pgf@rcssuffix}}%
+ \pgfrcs@parserest%
}
\def\ProvidesPackageRCS{%
+ \def\pgfrcs@marshal{\ProvidesPackage{\pgf@rcsfile}}%
+ \pgfrcs@parserest%
+}
+
+\def\pgfrcs@parserest{%
\def\pgf@rcsadditional{}%
\afterassignment\pgfrcs@checkforoptional\let\next=}
@@ -59,7 +70,7 @@
\def\pgfrcs@package#1${
\pgf@parseid $#1$
- \ProvidesPackage{\pgf@rcsfile}[\pgf@rcsdate\space\pgf@rcsadditional\space(rcs-revision \pgf@rcsrevision)]
+ \pgfrcs@marshal[\pgf@rcsdate\space\pgf@rcsadditional\space(rcs-revision \pgf@rcsrevision)]
}
\def\ProvidesClassRCS $#1$ [#2]{%
@@ -77,7 +88,7 @@
\def\ProvidesFile#1[#2]{\wlog{Loading file #1 version #2.}}
\fi
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/utilities/pgfrcs.code.tex,v 1.8 2005/11/14 17:37:52 tantau Exp $
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/utilities/pgfrcs.code.tex,v 1.12 2006/10/11 15:22:26 tantau Exp $
\catcode`\@=\pgfrcsatcode
diff --git a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
index e4d04f2d231..df45831e884 100644
--- a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
+++ b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
@@ -1,11 +1,16 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\RequirePackage{pgfrcs}
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/basiclayer/pgf.sty,v 1.5 2005/10/25 08:18:14 tantau Exp $
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/basiclayer/pgf.sty,v 1.7 2006/10/11 15:22:27 tantau Exp $
\def\pgf@draft{}
\DeclareOption{draft}{\def\pgf@draft{\pgf@draftmodetrue}}
@@ -22,6 +27,7 @@
\RequirePackage{pgfbaseimage}
\RequirePackage{pgfbaselayers}
\RequirePackage{pgfbasesnakes}
+\RequirePackage{pgfbasepatterns}
\pgf@obsolete
\pgf@draft
diff --git a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseimage.sty b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseimage.sty
index 66e26fff22b..9e355c41adb 100644
--- a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseimage.sty
+++ b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseimage.sty
@@ -1,7 +1,12 @@
-% Copyright 2005 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\RequirePackage{pgfcore}
diff --git a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaselayers.sty b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaselayers.sty
index ecfd18b90eb..53a20eede76 100644
--- a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaselayers.sty
+++ b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaselayers.sty
@@ -1,7 +1,12 @@
-% Copyright 2005 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\RequirePackage{pgfcore}
diff --git a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbasepatterns.sty b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbasepatterns.sty
new file mode 100644
index 00000000000..7f8914427fc
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbasepatterns.sty
@@ -0,0 +1,15 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\RequirePackage{pgfcore}
+
+\input{pgfbasepatterns.code.tex}
+
+\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseplot.sty b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseplot.sty
index 23ea1e203b5..bc05164411e 100644
--- a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseplot.sty
+++ b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseplot.sty
@@ -1,7 +1,12 @@
-% Copyright 2005 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\RequirePackage{pgfcore}
diff --git a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseshapes.sty b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseshapes.sty
index 9aec11b7f8a..57a0f0d60f4 100644
--- a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseshapes.sty
+++ b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbaseshapes.sty
@@ -1,7 +1,12 @@
-% Copyright 2005 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\RequirePackage{pgfcore}
diff --git a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbasesnakes.sty b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbasesnakes.sty
index ac13678e36f..f0d3be50e2c 100644
--- a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbasesnakes.sty
+++ b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfbasesnakes.sty
@@ -1,7 +1,12 @@
-% Copyright 2005 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\RequirePackage{pgfcore}
diff --git a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
index 2655521f773..813747920d9 100644
--- a/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
+++ b/Master/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty
@@ -1,7 +1,11 @@
-% Copyright 2005 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\RequirePackage{graphicx}
\RequirePackage{pgfsys}
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfarrows.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfarrows.sty
index f834a7defb5..2c0a90b4fa5 100644
--- a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfarrows.sty
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfarrows.sty
@@ -1,11 +1,15 @@
-\RequirePackage{pgfrcs}
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfarrows.sty,v 1.2 2005/07/06 15:58:58 tantau Exp $
+\RequirePackage{pgfrcs}
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfarrows.sty,v 1.3 2006/10/11 15:22:27 tantau Exp $
\RequirePackage{pgf}
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfautomata.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfautomata.sty
index 3f192076fcb..965fa30fed7 100644
--- a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfautomata.sty
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfautomata.sty
@@ -1,12 +1,15 @@
-\RequirePackage{pgfrcs}
-
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfautomata.sty,v 1.2 2005/07/06 15:58:58 tantau Exp $
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\RequirePackage{pgfrcs}
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfautomata.sty,v 1.3 2006/10/11 15:22:27 tantau Exp $
\RequirePackage{pgf}
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty
index 52122b16a8f..edd38d80567 100644
--- a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty
@@ -1,11 +1,15 @@
-\RequirePackage{pgfrcs}
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfcomp-version-0-65.sty,v 1.3 2005/11/14 16:43:25 tantau Exp $
+\RequirePackage{pgfrcs}
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfcomp-version-0-65.sty,v 1.4 2006/10/11 15:22:27 tantau Exp $
\def\pgfdirection#1{\csname pgf@direction#1\endcsname}
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfheaps.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfheaps.sty
index bdf061ad417..9d4a1324025 100644
--- a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfheaps.sty
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfheaps.sty
@@ -1,11 +1,15 @@
-\RequirePackage{pgfrcs}
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfheaps.sty,v 1.2 2005/07/06 15:58:58 tantau Exp $
+\RequirePackage{pgfrcs}
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfheaps.sty,v 1.3 2006/10/11 15:22:27 tantau Exp $
\RequirePackage{pgf}
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryarrows.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryarrows.sty
new file mode 100644
index 00000000000..875bbf02641
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryarrows.sty
@@ -0,0 +1,16 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\PackageWarning{pgf}{This package is obsolete. Use \noexpand\usetikzlibrary{arrows} instead}
+
+\RequirePackage{pgfcore}
+
+\input{pgflibraryarrows.code.tex}
+
+\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryautomata.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryautomata.sty
new file mode 100644
index 00000000000..29d6655da3a
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryautomata.sty
@@ -0,0 +1,16 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\PackageWarning{pgf}{This package is obsolete. Use \noexpand\usetikzlibrary{automata} instead}
+
+\RequirePackage{pgfcore}
+
+\input{pgflibrarytikzautomata.code.tex}
+
+\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryplothandlers.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryplothandlers.sty
new file mode 100644
index 00000000000..1510046e7d0
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryplothandlers.sty
@@ -0,0 +1,17 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\PackageWarning{pgf}{This package is obsolete. Use \noexpand\usetikzlibrary{plothandlers} instead}
+
+\RequirePackage{pgfcore}
+
+\input{pgflibraryplothandlers.code.tex}
+
+\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryplotmarks.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryplotmarks.sty
new file mode 100644
index 00000000000..2f1ca05e07d
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryplotmarks.sty
@@ -0,0 +1,17 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\PackageWarning{pgf}{This package is obsolete. Use \noexpand\usetikzlibrary{plotmarks} instead}
+
+\RequirePackage{pgfcore}
+
+\input{pgflibraryplotmarks.code.tex}
+
+\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryshapes.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryshapes.sty
new file mode 100644
index 00000000000..c11f25ff009
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibraryshapes.sty
@@ -0,0 +1,18 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+
+\PackageWarning{pgf}{This package is obsolete. Use \noexpand\usetikzlibrary{shapes} instead}
+
+\RequirePackage{pgfcore}
+
+\input{pgflibraryshapes.code.tex}
+
+\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibrarysnakes.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibrarysnakes.sty
new file mode 100644
index 00000000000..5d0484f7c79
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibrarysnakes.sty
@@ -0,0 +1,17 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\PackageWarning{pgf}{This package is obsolete. Use \noexpand\usetikzlibrary{snakes} instead}
+
+\RequirePackage{pgfcore}
+
+\input{pgflibrarysnakes.code.tex}
+
+\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibrarytikzbackgrounds.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibrarytikzbackgrounds.sty
new file mode 100644
index 00000000000..584f81434fd
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibrarytikzbackgrounds.sty
@@ -0,0 +1,17 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\PackageWarning{pgf}{This package is obsolete. Use \noexpand\usetikzlibrary{backgrounds} instead}
+
+\RequirePackage{tikz}
+
+\input{pgflibrarytikzbackgrounds.code.tex}
+
+\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibrarytikztrees.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibrarytikztrees.sty
new file mode 100644
index 00000000000..6a6f05d624f
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgflibrarytikztrees.sty
@@ -0,0 +1,17 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\PackageWarning{pgf}{This package is obsolete. Use \noexpand\usetikzlibrary{trees} instead}
+
+\RequirePackage{tikz}
+
+\input{pgflibrarytikztrees.code.tex}
+
+\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfnodes.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfnodes.sty
index e626f07626e..1308cc761b2 100644
--- a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfnodes.sty
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfnodes.sty
@@ -1,11 +1,15 @@
-\RequirePackage{pgfrcs}
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfnodes.sty,v 1.2 2005/07/06 15:58:58 tantau Exp $
+\RequirePackage{pgfrcs}
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfnodes.sty,v 1.3 2006/10/11 15:22:27 tantau Exp $
\RequirePackage{pgf}
diff --git a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfshade.sty b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfshade.sty
index 5e68a141cb2..373fbb06837 100644
--- a/Master/texmf-dist/tex/latex/pgf/compatibility/pgfshade.sty
+++ b/Master/texmf-dist/tex/latex/pgf/compatibility/pgfshade.sty
@@ -1,11 +1,15 @@
-\RequirePackage{pgfrcs}
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfshade.sty,v 1.2 2005/07/06 15:58:58 tantau Exp $
+\RequirePackage{pgfrcs}
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/latex/pgf/compatibility/pgfshade.sty,v 1.3 2006/10/11 15:22:27 tantau Exp $
\RequirePackage{pgf}
diff --git a/Master/texmf-dist/tex/latex/pgf/frontendlayer/pgfpict2e.sty b/Master/texmf-dist/tex/latex/pgf/frontendlayer/pgfpict2e.sty
index 87980ce72ef..04a298eac4e 100644
--- a/Master/texmf-dist/tex/latex/pgf/frontendlayer/pgfpict2e.sty
+++ b/Master/texmf-dist/tex/latex/pgf/frontendlayer/pgfpict2e.sty
@@ -1,10 +1,13 @@
-\ProvidesPackage{pgfpict2e}[2004/11/28 ver 0.01]
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesPackage{pgfpict2e}[2004/11/28 ver 0.01]
\RequirePackage{pgfcore}
@@ -47,8 +50,8 @@
\pgfsys@endpurepicture}}
-\def\oval{\@ifnextchar[{\pgfpictIIe@oval}{\pgfpictIIe@oval[20pt]}}
-\def\pgfpictIIe@oval[#1](#2,#3){\@ifnextchar[{\pgfpictIIe@@oval[#1](#2,#3)}{\pgfpictIIe@@oval[#1](#2,#3)[]}}
+\def\oval{\pgf@ifnextchar[{\pgfpictIIe@oval}{\pgfpictIIe@oval[20pt]}}
+\def\pgfpictIIe@oval[#1](#2,#3){\pgf@ifnextchar[{\pgfpictIIe@@oval[#1](#2,#3)}{\pgfpictIIe@@oval[#1](#2,#3)[]}}
\def\pgfpictIIe@@oval[#1](#2,#3)[#4]{{%
\pgfsys@beginpurepicture%
\@tfor\reserved@a:=#4\do{\csname pgfpictIIe@clip\reserved@a\endcsname}%
diff --git a/Master/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty b/Master/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
index 259be238a9d..5e947969ce4 100644
--- a/Master/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
+++ b/Master/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
@@ -1,9 +1,14 @@
-% Copyright 2005 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
-\RequirePackage{pgf,calc,pgffor,pgflibraryplothandlers,xkeyval}
+\RequirePackage{pgf,calc,pgffor,xkeyval}
\input{tikz.code.tex}
diff --git a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryarrows.sty b/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryarrows.sty
deleted file mode 100644
index 68a6df06407..00000000000
--- a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryarrows.sty
+++ /dev/null
@@ -1,10 +0,0 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
-\RequirePackage{pgfcore}
-
-\input{pgflibraryarrows.code.tex}
-
-\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryautomata.sty b/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryautomata.sty
deleted file mode 100644
index 347fd715d9c..00000000000
--- a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryautomata.sty
+++ /dev/null
@@ -1,10 +0,0 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
-\RequirePackage{pgfcore}
-
-\input{pgflibraryautomata.code.tex}
-
-\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryplothandlers.sty b/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryplothandlers.sty
deleted file mode 100644
index 4887d5c2f43..00000000000
--- a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryplothandlers.sty
+++ /dev/null
@@ -1,10 +0,0 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
-\RequirePackage{pgfcore}
-
-\input{pgflibraryplothandlers.code.tex}
-
-\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryplotmarks.sty b/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryplotmarks.sty
deleted file mode 100644
index ab8ff940d4f..00000000000
--- a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryplotmarks.sty
+++ /dev/null
@@ -1,10 +0,0 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
-\RequirePackage{pgfcore}
-
-\input{pgflibraryplotmarks.code.tex}
-
-\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryshapes.sty b/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryshapes.sty
deleted file mode 100644
index 9fbc32de3ea..00000000000
--- a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibraryshapes.sty
+++ /dev/null
@@ -1,10 +0,0 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
-\RequirePackage{pgfcore}
-
-\input{pgflibraryshapes.code.tex}
-
-\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibrarysnakes.sty b/Master/texmf-dist/tex/latex/pgf/libraries/pgflibrarysnakes.sty
deleted file mode 100644
index bc323556680..00000000000
--- a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibrarysnakes.sty
+++ /dev/null
@@ -1,10 +0,0 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
-\RequirePackage{pgfcore}
-
-\input{pgflibrarysnakes.code.tex}
-
-\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibrarytikzbackgrounds.sty b/Master/texmf-dist/tex/latex/pgf/libraries/pgflibrarytikzbackgrounds.sty
deleted file mode 100644
index c3743bf9569..00000000000
--- a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibrarytikzbackgrounds.sty
+++ /dev/null
@@ -1,10 +0,0 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
-\RequirePackage{tikz}
-
-\input{pgflibrarytikzbackgrounds.code.tex}
-
-\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibrarytikztrees.sty b/Master/texmf-dist/tex/latex/pgf/libraries/pgflibrarytikztrees.sty
deleted file mode 100644
index 3a71ba5ad8c..00000000000
--- a/Master/texmf-dist/tex/latex/pgf/libraries/pgflibrarytikztrees.sty
+++ /dev/null
@@ -1,10 +0,0 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
-
-\RequirePackage{tikz}
-
-\input{pgflibrarytikztrees.code.tex}
-
-\endinput
diff --git a/Master/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty b/Master/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
index e7c3b0142fd..2e2eab766e2 100644
--- a/Master/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
+++ b/Master/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
@@ -1,8 +1,11 @@
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\RequirePackage{pgfrcs}
diff --git a/Master/texmf-dist/tex/latex/pgf/utilities/pgffor.sty b/Master/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
index b2f27b78ae7..4a4dbc9c0d9 100644
--- a/Master/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
+++ b/Master/texmf-dist/tex/latex/pgf/utilities/pgffor.sty
@@ -1,7 +1,11 @@
-% Copyright 2005 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\RequirePackage{pgfrcs}
diff --git a/Master/texmf-dist/tex/latex/pgf/utilities/pgfpages.sty b/Master/texmf-dist/tex/latex/pgf/utilities/pgfpages.sty
index 36784a3c968..ed5356f2bbb 100644
--- a/Master/texmf-dist/tex/latex/pgf/utilities/pgfpages.sty
+++ b/Master/texmf-dist/tex/latex/pgf/utilities/pgfpages.sty
@@ -1,9 +1,13 @@
-\ProvidesPackage{pgfpages}[2004/11/05 ver 0.01]
-
-% Copyright 2003 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesPackage{pgfpages}[2004/11/05 ver 0.01]
\RequirePackage{pgfcore,calc}
@@ -58,11 +62,11 @@
%
% \pgfpagesuselayout{resize to}[a4paper]
-\def\pgfpagesuselayout#1{\@ifnextchar[{\pgf@pagelayout{#1}}{\pgf@pagelayout{#1}[]}}
+\def\pgfpagesuselayout#1{\pgf@ifnextchar[{\pgf@pagelayout{#1}}{\pgf@pagelayout{#1}[]}}
\def\pgf@pagelayout#1[#2]{
\csname pgfpages@layoutbefore@#1\endcsname
\setkeys{pgfpagesuselayoutoption}{#2}
- \@ifundefined{pgfpages@layout@#1}{
+ \pgf@ifundefined{pgfpages@layout@#1}{
\PackageError{pgfpages}{Page layout `#1' undefined.}{}
}
{
@@ -1002,7 +1006,7 @@
\newcommand\pgfsetupphysicalpagesizes{%
% The following code was send to me by Rolf Niepraschk
- \ifx\Gin@driver\@empty\else%
+ \ifx\Gin@driver\pgf@empty\else%
\filename@parse{\Gin@driver}\@tempswafalse%
\def\reserved@a{dvips}%
\ifx\filename@base\reserved@a\@tempswatrue\fi%
diff --git a/Master/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty b/Master/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
index 509ebded392..7c0004d3333 100644
--- a/Master/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
+++ b/Master/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
@@ -1,7 +1,11 @@
-% Copyright 2005 by Till Tantau <tantau@users.sourceforge.net>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\input{pgfrcs.code.tex}
diff --git a/Master/texmf-dist/tex/latex/pgf/utilities/pgfreadexternal.sty b/Master/texmf-dist/tex/latex/pgf/utilities/pgfreadexternal.sty
new file mode 100644
index 00000000000..4835d0547f2
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pgf/utilities/pgfreadexternal.sty
@@ -0,0 +1,33 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesPackage{pgfreadexternal}[2006/03/13 ver 0.01]
+
+% Environment for reading an external graphic.
+%
+% #1 = suffix
+%
+% Example:
+%
+% \pgfexternalbegin{mygraph}
+% \begin{tikzpicture}
+% ...
+% \end{tikzpicture}
+% \pgfextenalend
+
+\providecommand\pgfexternalbegin{\pgf@externalbegin}
+\long\def\pgf@externalbegin#1#2\pgfexternalend{%
+ \pgfexternalincludecommand{#1}%
+}
+
+\providecommand\pgfexternalincludecommand[1]{\includegraphics{\pgfexternalprefix#1}}
+\providecommand\pgfexternalprefix{}
+
+\endinput
+
diff --git a/Master/texmf-dist/tex/latex/pgf/utilities/pgfwriteexternal.sty b/Master/texmf-dist/tex/latex/pgf/utilities/pgfwriteexternal.sty
new file mode 100644
index 00000000000..5170982fdfa
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/pgf/utilities/pgfwriteexternal.sty
@@ -0,0 +1,111 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesPackage{pgfwriteexternal}[2006/03/13 ver 0.01]
+
+
+% Modes of operation:
+%
+% Set \pgfexternalcurrent to empty, relax or undefined and all
+% \pgfexternal... are ignored
+%
+% Set \pgfexternalcurrnet to anything else and all text will be thrown
+% away, except the text in the \pgfexternalbegin...\pgfexternalend
+% with the right name.
+
+\AtBeginDocument{
+ \ifx\pgfexternalcurrent\relax
+ \let\pgfexternalcurrent=\@empty
+ \fi
+ \ifx\pgfexternalcurrent\@undefined
+ \let\pgfexternalcurrent=\@empty
+ \fi
+ \ifx\pgfexternalcurrent\@empty
+ \else
+ \pgf@externalgrabshipout
+ \fi
+}
+
+
+\newwrite\pgfexternal@caller
+
+% Environment for an external graphic.
+%
+% #1 = suffix
+%
+% Example:
+%
+% \pgfexternalbegin{mygraph}
+% \begin{tikzpicture}
+% ...
+% \end{tikzpicture}
+% \pgfextenalend
+
+\def\pgfexternalbegin#1{%
+ \IfFileExists{#1.tex}{}{%
+ \immediate\openout\pgfexternal@caller #1.tex%
+ \immediate\write\pgfexternal@caller{\noexpand\def\noexpand\pgfexternalcurrent{#1}\noexpand\input \jobname.tex}%
+ \immediate\closeout\pgfexternal@caller%
+ }%
+ \edef\pgf@test{#1}%
+ \edef\pgfeeext{\pgfexternalcurrent}%
+ \expandafter\scantokens\expandafter{\expandafter\edef\expandafter\pgfeeext\expandafter{\pgfeeext}}\unskip%
+ \ifx\pgfeeext\pgf@test%
+ \global\let\pgfexternalend=\pgf@externalend%
+ \expandafter\pgf@externalprepareshipout%
+ \fi%
+ \ignorespaces%
+}
+
+\let\pgfexternalend=\unskip
+
+
+
+\newbox\pgfexternal@ignorebox
+\newbox\pgfexternal@box
+
+\def\pgf@externalgrabshipout{%
+ \global\let\pgfexternal@originalshipout=\shipout%
+ \global\def\shipout{\setbox\pgfexternal@ignorebox=}
+}
+
+\def\pgf@externalprepareshipout{%
+ \setbox\pgfexternal@box=\hbox\bgroup\bgroup%
+}
+
+\def\pgf@externalend{%
+ \unskip\egroup\egroup%
+ {%
+ \parindent0pt%
+ \leftmargin0pt%
+ \dimen0\ht\pgfexternal@box%
+ \advance\dimen0\dp\pgfexternal@box%
+ \pgfsys@papersize{\the\wd\pgfexternal@box}{\the\dimen0}%
+ \setbox0=\vbox{%
+ \kern -1truein%
+ \hbox{%
+ \kern -1truein%
+ \hbox to0pt{\pgfsys@atbegindocument}%
+ \box\pgfexternal@box%
+ \kern 1truein}%
+ \kern1truein}%
+ \pgfexternal@originalshipout\box0%
+ }%
+ \global\let\pgfexternalend=\unskip%
+}
+
+\ifx\pdfoutput\undefined
+ \newcount\pdfoutput
+\fi
+
+
+
+
+\endinput
+
diff --git a/Master/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty b/Master/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty
index 9f4ec8c970d..8e40fb90fd7 100644
--- a/Master/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty
+++ b/Master/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty
@@ -1,12 +1,15 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\ProvidesPackage{xxcolor}[2003/10/24 ver 0.1]
\NeedsTeXFormat{LaTeX2e}[1995/12/01]
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
\RequirePackage{xcolor}
diff --git a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgf.tex b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgf.tex
index e8f183447d3..038eb090031 100644
--- a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgf.tex
+++ b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgf.tex
@@ -1,14 +1,19 @@
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
%
-% This program can be redistributed and/or modified under the terms
-% of the GNU Public License, version 2.
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\edef\pgfatcode{\the\catcode`\@}
\catcode`\@=11
\input pgfrcs.code.tex
-\ProvidesPackageRCS $Header: /cvsroot/pgf/pgf/plain/pgf/basiclayer/pgf.tex,v 1.3 2005/09/05 13:23:04 tantau Exp $
+\ProvidesPackageRCS $Header: /cvsroot/pgf/pgf/plain/pgf/basiclayer/pgf.tex,v 1.5 2006/10/11 15:22:28 tantau Exp $
\input pgfcore.tex
\input pgfbaseshapes.tex
@@ -16,6 +21,7 @@
\input pgfbaseimage.tex
\input pgfbaselayers.tex
\input pgfbasesnakes.tex
+\input pgfbasepatterns.tex
\catcode`\@=\pgfatcode
diff --git a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseimage.tex b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseimage.tex
index 1748b35b7e6..3950132725e 100644
--- a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseimage.tex
+++ b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseimage.tex
@@ -1,10 +1,12 @@
-% This file is pgfbaseshapes.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\edef\pgfbaseimageatcode{\the\catcode`\@}
\catcode`\@=11
diff --git a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaselayers.tex b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaselayers.tex
index 4a8db973c3a..146d1141999 100644
--- a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaselayers.tex
+++ b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaselayers.tex
@@ -1,10 +1,12 @@
-% This file is pgfbaselayers.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\edef\pgfbaselayersatcode{\the\catcode`\@}
\catcode`\@=11
diff --git a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbasepatterns.tex b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbasepatterns.tex
new file mode 100644
index 00000000000..7797ca1c35e
--- /dev/null
+++ b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbasepatterns.tex
@@ -0,0 +1,19 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+
+\edef\pgfbasepatternsatcode{\the\catcode`\@}
+\catcode`\@=11
+
+\input pgfcore.tex
+\input pgfbasepatterns.code.tex
+
+\catcode`\@=\pgfbasepatternsatcode
+
+\endinput
diff --git a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseplot.tex b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseplot.tex
index f2b7aa99c2b..b5724f66abe 100644
--- a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseplot.tex
+++ b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseplot.tex
@@ -1,10 +1,12 @@
-% This file is pgfbaseshapes.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\edef\pgfbaseplotatcode{\the\catcode`\@}
\catcode`\@=11
diff --git a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseshapes.tex b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseshapes.tex
index 99d0a3973d2..778eddeaefb 100644
--- a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseshapes.tex
+++ b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbaseshapes.tex
@@ -1,10 +1,12 @@
-% This file is pgfbaseshapes.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\edef\pgfbaseshapesatcode{\the\catcode`\@}
\catcode`\@=11
diff --git a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbasesnakes.tex b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbasesnakes.tex
index 29b0c3d9106..29ae8556496 100644
--- a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbasesnakes.tex
+++ b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfbasesnakes.tex
@@ -1,10 +1,12 @@
-% This file is pgfbasesnakes.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\edef\pgfbasesnakesatcode{\the\catcode`\@}
\catcode`\@=11
diff --git a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfcore.tex b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfcore.tex
index d70e1030d93..590120a96c5 100644
--- a/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfcore.tex
+++ b/Master/texmf-dist/tex/plain/pgf/basiclayer/pgfcore.tex
@@ -1,10 +1,12 @@
-% This file is pgfcore.tex
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
\ifx\pgfcoreincluded\undefined
\def\pgfcoreincluded{}
diff --git a/Master/texmf-dist/tex/plain/pgf/frontendlayer/tikz.tex b/Master/texmf-dist/tex/plain/pgf/frontendlayer/tikz.tex
index 2353f9370db..3b83649a10a 100644
--- a/Master/texmf-dist/tex/plain/pgf/frontendlayer/tikz.tex
+++ b/Master/texmf-dist/tex/plain/pgf/frontendlayer/tikz.tex
@@ -1,10 +1,13 @@
-% This file is tikz.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+% This file is tikz.tex
\edef\tikzatcode{\the\catcode`\@}
\catcode`\@=11
diff --git a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryarrows.tex b/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryarrows.tex
deleted file mode 100644
index 3a3912c0ab3..00000000000
--- a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryarrows.tex
+++ /dev/null
@@ -1,17 +0,0 @@
-% This file is pgflibraryarrows.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
-\edef\pgflibraryarrowsatcode{\the\catcode`\@}
-\catcode`\@=11
-
-\input pgfcore.tex
-\input pgflibraryarrows.code.tex
-
-\catcode`\@=\pgflibraryarrowsatcode
-
-\endinput
diff --git a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryautomata.tex b/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryautomata.tex
deleted file mode 100644
index ee90303d2be..00000000000
--- a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryautomata.tex
+++ /dev/null
@@ -1,17 +0,0 @@
-% This file is pgflibraryautomata.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
-\edef\pgflibraryautomataatcode{\the\catcode`\@}
-\catcode`\@=11
-
-\input pgfcore.tex
-\input pgflibraryautomata.code.tex
-
-\catcode`\@=\pgflibraryautomataatcode
-
-\endinput
diff --git a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryplothandlers.tex b/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryplothandlers.tex
deleted file mode 100644
index 96b11c38e5b..00000000000
--- a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryplothandlers.tex
+++ /dev/null
@@ -1,17 +0,0 @@
-% This file is pgflibraryplothandlers.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
-\edef\pgflibraryplothandlersatcode{\the\catcode`\@}
-\catcode`\@=11
-
-\input pgfcore.tex
-\input pgflibraryplothandlers.code.tex
-
-\catcode`\@=\pgflibraryplothandlersatcode
-
-\endinput
diff --git a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryplotmarks.tex b/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryplotmarks.tex
deleted file mode 100644
index fd91cad671a..00000000000
--- a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryplotmarks.tex
+++ /dev/null
@@ -1,17 +0,0 @@
-% This file is pgflibraryplotmarks.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
-\edef\pgflibraryplotmarksatcode{\the\catcode`\@}
-\catcode`\@=11
-
-\input pgfcore.tex
-\input pgflibraryplotmarks.code.tex
-
-\catcode`\@=\pgflibraryplotmarksatcode
-
-\endinput
diff --git a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryshapes.tex b/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryshapes.tex
deleted file mode 100644
index 7a47a37a6f5..00000000000
--- a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibraryshapes.tex
+++ /dev/null
@@ -1,17 +0,0 @@
-% This file is pgflibraryshapes.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
-\edef\pgflibraryshapesatcode{\the\catcode`\@}
-\catcode`\@=11
-
-\input pgfcore.tex
-\input pgflibraryshapes.code.tex
-
-\catcode`\@=\pgflibraryshapesatcode
-
-\endinput
diff --git a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibrarysnakes.tex b/Master/texmf-dist/tex/plain/pgf/libraries/pgflibrarysnakes.tex
deleted file mode 100644
index 43e185d3cfe..00000000000
--- a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibrarysnakes.tex
+++ /dev/null
@@ -1,17 +0,0 @@
-% This file is pgflibrarysnakes.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
-\edef\pgflibrarysnakesatcode{\the\catcode`\@}
-\catcode`\@=11
-
-\input pgfcore.tex
-\input pgflibrarysnakes.code.tex
-
-\catcode`\@=\pgflibrarysnakesatcode
-
-\endinput
diff --git a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibrarytikzbackgrounds.tex b/Master/texmf-dist/tex/plain/pgf/libraries/pgflibrarytikzbackgrounds.tex
deleted file mode 100644
index ba7f243ff42..00000000000
--- a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibrarytikzbackgrounds.tex
+++ /dev/null
@@ -1,16 +0,0 @@
-% This file is pgflibrarytikzbackgrounds.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
-\edef\pgflibrarytikzbackgroundsatcode{\the\catcode`\@}
-\catcode`\@=11
-
-\input pgflibrarytikzbackgrounds.code.tex
-
-\catcode`\@=\pgflibrarytikzbackgroundsatcode
-
-\endinput
diff --git a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibrarytikztrees.tex b/Master/texmf-dist/tex/plain/pgf/libraries/pgflibrarytikztrees.tex
deleted file mode 100644
index c25a04c4e50..00000000000
--- a/Master/texmf-dist/tex/plain/pgf/libraries/pgflibrarytikztrees.tex
+++ /dev/null
@@ -1,16 +0,0 @@
-% This file is pgflibrarytikztrees.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
-%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
-
-\edef\pgflibrarytikztreesatcode{\the\catcode`\@}
-\catcode`\@=11
-
-\input pgflibrarytikztrees.code.tex
-
-\catcode`\@=\pgflibrarytikztreesatcode
-
-\endinput
diff --git a/Master/texmf-dist/tex/plain/pgf/systemlayer/pgfsys.tex b/Master/texmf-dist/tex/plain/pgf/systemlayer/pgfsys.tex
index 88d769b5c02..58d6a27f801 100644
--- a/Master/texmf-dist/tex/plain/pgf/systemlayer/pgfsys.tex
+++ b/Master/texmf-dist/tex/plain/pgf/systemlayer/pgfsys.tex
@@ -1,10 +1,13 @@
-% This file is pgfsys.tex
-
-% Copyright 2005 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+% This file is pgfsys.tex
\ifx\pgfsysincluded\undefined
\def\pgfsysincluded{}
diff --git a/Master/texmf-dist/tex/plain/pgf/utilities/pgffor.tex b/Master/texmf-dist/tex/plain/pgf/utilities/pgffor.tex
index 2251e120c26..6888de3bcc1 100644
--- a/Master/texmf-dist/tex/plain/pgf/utilities/pgffor.tex
+++ b/Master/texmf-dist/tex/plain/pgf/utilities/pgffor.tex
@@ -1,10 +1,11 @@
-% This file is tikz.tex
-
-% Copyright 2003 by Till Tantau <tantau@cs.tu-berlin.de>.
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
%
-% This program can be redistributed and/or modified under the terms
-% of the LaTeX Project Public License Distributed from CTAN
-% archives in directory macros/latex/base/lppl.txt.
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
\edef\pgfforatcode{\the\catcode`\@}
\catcode`\@=11
diff --git a/Master/texmf-dist/tpm/pgf.tpm b/Master/texmf-dist/tpm/pgf.tpm
index 267fba644a9..972f1537b62 100644
--- a/Master/texmf-dist/tpm/pgf.tpm
+++ b/Master/texmf-dist/tpm/pgf.tpm
@@ -3,7 +3,7 @@
<rdf:Description about="http://texlive.dante.de/texlive/Package/pgf.zip">
<TPM:Name>pgf</TPM:Name>
<TPM:Type>Package</TPM:Type>
- <TPM:Date>2005/11/16 11:22:39</TPM:Date>
+ <TPM:Date>2006/10/11 17:19:00</TPM:Date>
<TPM:Version>0.50</TPM:Version>
<TPM:Creator>rahtz</TPM:Creator>
<TPM:Title>Create PostScript and PDF graphics in TeX.</TPM:Title>
@@ -20,9 +20,23 @@ presentations.
<TPM:Author>Till Tantau</TPM:Author>
<TPM:Size>7380246</TPM:Size>
<TPM:Build/>
- <TPM:RunFiles size="593822">
+ <TPM:RunFiles size="714830">
+texmf-dist/tex/context/pgf/basiclayer/t-pgf.tex
+texmf-dist/tex/context/pgf/basiclayer/t-pgfbim.tex
+texmf-dist/tex/context/pgf/basiclayer/t-pgfbla.tex
+texmf-dist/tex/context/pgf/basiclayer/t-pgfbpl.tex
+texmf-dist/tex/context/pgf/basiclayer/t-pgfbpt.tex
+texmf-dist/tex/context/pgf/basiclayer/t-pgfbsh.tex
+texmf-dist/tex/context/pgf/basiclayer/t-pgfbsn.tex
+texmf-dist/tex/context/pgf/basiclayer/t-pgfcor.tex
+texmf-dist/tex/context/pgf/frontendlayer/t-tikz.tex
+texmf-dist/tex/context/pgf/systemlayer/t-pgfsys.tex
+texmf-dist/tex/context/pgf/utilities/t-pgffor.tex
+texmf-dist/tex/context/pgf/utilities/t-pgfmod.tex
+texmf-dist/tex/context/pgf/utilities/t-pgfrcs.tex
texmf-dist/tex/generic/pgf/basiclayer/pgfbaseimage.code.tex
texmf-dist/tex/generic/pgf/basiclayer/pgfbaselayers.code.tex
+texmf-dist/tex/generic/pgf/basiclayer/pgfbasepatterns.code.tex
texmf-dist/tex/generic/pgf/basiclayer/pgfbaseplot.code.tex
texmf-dist/tex/generic/pgf/basiclayer/pgfbaseshapes.code.tex
texmf-dist/tex/generic/pgf/basiclayer/pgfbasesnakes.code.tex
@@ -41,17 +55,30 @@ texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex
texmf-dist/tex/generic/pgf/frontendlayer/tikz.code.tex
texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex
-texmf-dist/tex/generic/pgf/libraries/pgflibraryautomata.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarypatterns.code.tex
texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex
texmf-dist/tex/generic/pgf/libraries/pgflibraryplotmarks.code.tex
texmf-dist/tex/generic/pgf/libraries/pgflibraryshapes.code.tex
texmf-dist/tex/generic/pgf/libraries/pgflibrarysnakes.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikz3d.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzarrows.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzautomata.code.tex
texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzbackgrounds.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzer.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzmindmap.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzpatterns.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzpetri.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzplothandlers.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzplotmarks.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzshapes.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikzsnakes.code.tex
+texmf-dist/tex/generic/pgf/libraries/pgflibrarytikztopaths.code.tex
texmf-dist/tex/generic/pgf/libraries/pgflibrarytikztrees.code.tex
texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg
texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def
texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-postscript.def
texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-svg.def
+texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvi.def
texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfm.def
texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvips.def
texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def
@@ -67,6 +94,7 @@ texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex
texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
texmf-dist/tex/latex/pgf/basiclayer/pgfbaseimage.sty
texmf-dist/tex/latex/pgf/basiclayer/pgfbaselayers.sty
+texmf-dist/tex/latex/pgf/basiclayer/pgfbasepatterns.sty
texmf-dist/tex/latex/pgf/basiclayer/pgfbaseplot.sty
texmf-dist/tex/latex/pgf/basiclayer/pgfbaseshapes.sty
texmf-dist/tex/latex/pgf/basiclayer/pgfbasesnakes.sty
@@ -75,57 +103,58 @@ texmf-dist/tex/latex/pgf/compatibility/pgfarrows.sty
texmf-dist/tex/latex/pgf/compatibility/pgfautomata.sty
texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty
texmf-dist/tex/latex/pgf/compatibility/pgfheaps.sty
+texmf-dist/tex/latex/pgf/compatibility/pgflibraryarrows.sty
+texmf-dist/tex/latex/pgf/compatibility/pgflibraryautomata.sty
+texmf-dist/tex/latex/pgf/compatibility/pgflibraryplothandlers.sty
+texmf-dist/tex/latex/pgf/compatibility/pgflibraryplotmarks.sty
+texmf-dist/tex/latex/pgf/compatibility/pgflibraryshapes.sty
+texmf-dist/tex/latex/pgf/compatibility/pgflibrarysnakes.sty
+texmf-dist/tex/latex/pgf/compatibility/pgflibrarytikzbackgrounds.sty
+texmf-dist/tex/latex/pgf/compatibility/pgflibrarytikztrees.sty
texmf-dist/tex/latex/pgf/compatibility/pgfnodes.sty
texmf-dist/tex/latex/pgf/compatibility/pgfshade.sty
texmf-dist/tex/latex/pgf/frontendlayer/pgfpict2e.sty
texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty
-texmf-dist/tex/latex/pgf/libraries/pgflibraryarrows.sty
-texmf-dist/tex/latex/pgf/libraries/pgflibraryautomata.sty
-texmf-dist/tex/latex/pgf/libraries/pgflibraryplothandlers.sty
-texmf-dist/tex/latex/pgf/libraries/pgflibraryplotmarks.sty
-texmf-dist/tex/latex/pgf/libraries/pgflibraryshapes.sty
-texmf-dist/tex/latex/pgf/libraries/pgflibrarysnakes.sty
-texmf-dist/tex/latex/pgf/libraries/pgflibrarytikzbackgrounds.sty
-texmf-dist/tex/latex/pgf/libraries/pgflibrarytikztrees.sty
texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty
texmf-dist/tex/latex/pgf/utilities/pgffor.sty
texmf-dist/tex/latex/pgf/utilities/pgfpages.sty
texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty
+texmf-dist/tex/latex/pgf/utilities/pgfreadexternal.sty
+texmf-dist/tex/latex/pgf/utilities/pgfwriteexternal.sty
texmf-dist/tex/latex/pgf/utilities/xxcolor.sty
texmf-dist/tex/plain/pgf/basiclayer/pgf.tex
texmf-dist/tex/plain/pgf/basiclayer/pgfbaseimage.tex
texmf-dist/tex/plain/pgf/basiclayer/pgfbaselayers.tex
+texmf-dist/tex/plain/pgf/basiclayer/pgfbasepatterns.tex
texmf-dist/tex/plain/pgf/basiclayer/pgfbaseplot.tex
texmf-dist/tex/plain/pgf/basiclayer/pgfbaseshapes.tex
texmf-dist/tex/plain/pgf/basiclayer/pgfbasesnakes.tex
texmf-dist/tex/plain/pgf/basiclayer/pgfcore.tex
texmf-dist/tex/plain/pgf/frontendlayer/tikz.tex
-texmf-dist/tex/plain/pgf/libraries/pgflibraryarrows.tex
-texmf-dist/tex/plain/pgf/libraries/pgflibraryautomata.tex
-texmf-dist/tex/plain/pgf/libraries/pgflibraryplothandlers.tex
-texmf-dist/tex/plain/pgf/libraries/pgflibraryplotmarks.tex
-texmf-dist/tex/plain/pgf/libraries/pgflibraryshapes.tex
-texmf-dist/tex/plain/pgf/libraries/pgflibrarysnakes.tex
-texmf-dist/tex/plain/pgf/libraries/pgflibrarytikzbackgrounds.tex
-texmf-dist/tex/plain/pgf/libraries/pgflibrarytikztrees.tex
texmf-dist/tex/plain/pgf/systemlayer/pgfsys.tex
texmf-dist/tex/plain/pgf/utilities/pgffor.tex
texmf-dist/tpm/pgf.tpm
</TPM:RunFiles>
- <TPM:DocFiles size="6786424">
+ <TPM:DocFiles size="5067025">
texmf-dist/doc/generic/pgf/AUTHORS
texmf-dist/doc/generic/pgf/ChangeLog
texmf-dist/doc/generic/pgf/FILES
texmf-dist/doc/generic/pgf/INSTALL
texmf-dist/doc/generic/pgf/README
texmf-dist/doc/generic/pgf/TODO
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texmf-dist/doc/generic/pgf/macros/pgfmanual-en-macros.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-actions.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-arrows.tex
@@ -134,6 +163,7 @@ texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-images.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-layers.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-nodes.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-paths.tex
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texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-plots.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-points.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-quick.tex
@@ -145,7 +175,20 @@ texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-drivers.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-guidelines.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-installation.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-introduction.tex
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texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-main.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pages.tex
@@ -162,6 +205,7 @@ texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-scopes.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-shapes.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-transformations.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-trees.tex
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texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-xxcolor.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-main.tex
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texmf-dist/doc/generic/pgf/version-for-tex4ht/en/Makefile
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diff --git a/Master/texmf/lists/pgf b/Master/texmf/lists/pgf
index f99b72b9dd9..a9bdc8d1a83 100644
--- a/Master/texmf/lists/pgf
+++ b/Master/texmf/lists/pgf
@@ -4,13 +4,19 @@ texmf-dist/doc/generic/pgf/FILES
texmf-dist/doc/generic/pgf/INSTALL
texmf-dist/doc/generic/pgf/README
texmf-dist/doc/generic/pgf/TODO
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texmf-dist/doc/generic/pgf/macros/pgfmanual-en-macros.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-actions.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-arrows.tex
@@ -19,6 +25,7 @@ texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-images.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-layers.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-nodes.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-paths.tex
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texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-plots.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-points.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-quick.tex
@@ -30,7 +37,20 @@ texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-drivers.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-guidelines.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-installation.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-introduction.tex
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texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-main.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pages.tex
@@ -47,6 +67,7 @@ texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-scopes.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-shapes.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-transformations.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-trees.tex
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texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-xxcolor.tex
texmf-dist/doc/generic/pgf/text-en/pgfmanual-main.tex
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texmf-dist/doc/generic/pgf/version-for-vtex/en/Makefile
texmf-dist/doc/generic/pgf/version-for-vtex/en/pgfmanual.tex
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texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfplotgnuplot-example.table
texmf-dist/doc/generic/pgf/version-for-vtex/pgfmanual-vtex.cfg
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texmf-dist/tex/generic/pgf/basiclayer/pgfbaseshapes.code.tex
texmf-dist/tex/generic/pgf/basiclayer/pgfbasesnakes.code.tex
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texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-postscript.def
texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-svg.def
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texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfm.def
texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvips.def
texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def
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texmf-dist/tex/latex/pgf/basiclayer/pgf.sty
texmf-dist/tex/latex/pgf/basiclayer/pgfbaseimage.sty
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