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diff --git a/Master/texmf-dist/doc/generic/pgf/AUTHORS b/Master/texmf-dist/doc/generic/pgf/AUTHORS
new file mode 100644
index 00000000000..b8f40d8805f
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/AUTHORS
@@ -0,0 +1 @@
+Till Tantau <tantau@users.sourceforge.net>
diff --git a/Master/texmf-dist/doc/generic/pgf/ChangeLog b/Master/texmf-dist/doc/generic/pgf/ChangeLog
new file mode 100644
index 00000000000..b0b37b6b538
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/ChangeLog
@@ -0,0 +1,214 @@
+2005-10-23 Till Tantau <tantau@users.sourceforge.net>
+
+ Version 1.00:
+
+ - There have not been any real changes since 0.99.
+
+
+2005-10-11 Till Tantau <tantau@users.sourceforge.net>
+
+ Version 0.99:
+
+ - Added vtex support (finally!).
+ - Added multi part mechanism to nodes.
+ - Added very simple pgflibraryautomata.
+ - Changed coordinate shape such that it now never produces a
+ text label.
+ - Renamed \pgfshapebox to \pgfnodeparttextbox (made necessary
+ by the node part mechanism).
+
+2005-09-20 Till Tantau <tantau@users.sourceforge.net>
+
+ Version 0.98:
+
+ - Added transparency to PGF (quite nice...).
+ - Added foreach option to child path operation (also nice...).
+ - Fixed problem with \\ in centered text.
+ - Fixed problem with hyperlinks in nodes.
+ - Fixed wrong arrows in trees.
+
+2005-09-08 Till Tantau <tantua@users.sourceforge.net>
+
+ Version 0.97:
+
+ - Reorganised directory structure of documentation.
+ - Added tree mechanism.
+ - Added snake mechanism.
+ - Added layer mechanism.
+ - Added new shapes: cross out, strike out, forbidden sign.
+ - Added some more documentation.
+ - Added "none" drawing and filling colors.
+ - Added pgflibrarytikzbackgrounds.
+ - Changed syntax of \pgfqbox.
+ - Changed syntax of several \pgfsys@xxxx commands.
+ - Added SVG support / a tex4ht backend. (Complicated text
+ inside svg graphics is not supported well, but that's mainly
+ a shortcoming of the svg specification.)
+
+2005-07-06 Till Tantau <tantau@users.sourceforge.net>
+
+ Version 0.96:
+
+ This is a beta version. Version 1.00 will be the first stable
+ version of TikZ/pgf.
+
+ - Fixed spacing problem in dvips.
+ - Changed syntax of plot and plot marks.
+ - Changed syntax of ellipse and elliptical arc options.
+ - Fixed baseline bug in tikz.
+ - Fixed bug in pgfpages.
+ - Introduced "every xxxx" styles, got rid of shape actions option.
+ - Added "intersection of" syntax for coordinates.
+ - Started revising the documentation.
+ - Changed names of some pgfpages commands.
+ - Changed syntax of parabola command.
+ - Proof read documentation.
+
+2005-06-12 Till Tantau <tantau@users.sourceforge.net>
+
+ Version 0.95:
+
+ This is an *alpha* prerelease version. Syntax changes
+ are still possible before the beta version. Version 1.00
+ will be the stable version.
+
+ Changes (this is almost a new program):
+ - Introduced three layers: system, basic, frontends.
+ - Wrote two frontends: TikZ (*most* useful!) and pgfpict2e (a
+ demonstration).
+ - Largely rewrote the basic layer.
+ - Largely rewrote the system layer.
+ - Completely rewrote the documentation.
+ - Added two utilities: pgfpages and pgffor.
+ - Made macro naming more consistent.
+ - Added plain tex support.
+ - Added dvipdfm support.
+ - Restructured directory structure.
+ - Zillions of small bugfixes.
+
+2004-10-20 Till Tantau <tantau@users.sourceforge.net>
+
+ Version 0.65:
+ - Fixed bug in pgfshade.sty that arises in conjunction with
+ calc.sty and latex+dvips.
+
+2004-10-08 Till Tantau <tantau@users.sourceforge.net>
+
+ Version 0.64:
+ - Fixed missing depth of \pgfnodebox.
+ - Fixed bug that caused infinite stack loop with pictures inside
+ nodes.
+
+2004-07-08 Till Tantau <tantau@users.sourceforge.net>
+
+ Version 0.63:
+ - Added \pgfextractx, \pgfextracty, \pgfcorner.
+ - Added some documentation on masks and images.
+ - Fixed a somewhat obscure bug having to do with the modification
+ of \spaceskip.
+ - \pgfex and \pgfem no loner needed. Use 1ex etc. once more.
+ - calc.sty is now supported.
+
+2004-07-06 Till Tantau <tantau@users.sourceforge.net>
+
+ Version 0.62:
+ - Fixed problem in xxcolor with option "gray" and xcolor.
+ - Switched to xcolor version 2.00.
+ - Added eofill and eofillstroke commands.
+ - Added option to shadings, so that they are automatically
+ recalculated upon color changes.
+ - Changed names of example images to start with pgf.
+
+2004-04-07 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.61:
+ - Added \pgfex and \pgfem dimensions.
+ - Fixed bug that causes pgfshade to fail to work if xcolor
+ is called with option "gray".
+ - Fixed PostScript code for radial shadings.
+ - xxcolor now works with xcolor 1.10 (and only 1.10).
+
+2004-02-18 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.60:
+ - Replaced some commands for the postscript code by shorter
+ versions for smaller file size.
+ - Fixed bug in pgfbox command that caused incorrect kerning in
+ postscript output.
+ - Fixed bug in pgfsys@defineimage that made page inclusion
+ impossible.
+ - Fixed bug in pgfshading that did not reset dash patterns in
+ shadings in the PostScript version.
+ - Spaces are now allowed inside the pgfpicture environment.
+ - Added \pgfgrid command.
+
+2004-01-13 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.50:
+ - Switched to version 1.06 of xcolor.
+ - Core pgf no longer relies on xxcolor.
+ - The syntax of the mechanism for choosing alternate images and
+ shadings is more flexible now. The syntax has been changed
+ (mainly, you now have to have a dot between the original name and
+ the alternate extension).
+ - Some xxcolor commands have been removed.
+
+2003-12-02 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.43:
+ - Fixed \normalcolor, so that it works also in preamble.
+
+2003-11-20 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.42:
+ - Documented masks.
+ - Fixed bug in pgf.sty for nested pictures.
+
+2003-11-18 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.41:
+ - Added masks (not yet documented).
+
+2003-11-12 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.40:
+ - Changed syntax of \pgfdeclareimage. Uses key=value scheme
+ now. All parameters may now be omitted.
+ - Added \pgfimage command.
+ - Option for selecting a specific page from an image file.
+ - Fixed bug in xxcolor.sty having to do with \@ifempty command.
+ - Reworked the formatting of the user's guide.
+
+2003-10-29 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.34:
+ - Shadings now work together with color mix-ins.
+ - Shadings can now take color names as parameters.
+
+2003-10-24 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.33:
+ - Fixed problem with missing \leavevmode in \pgfuseimage.
+ - Reworked code for image inclusion.
+ - "Draft" option is now supported. Supresses reading of images.
+ - Added xxcolor package.
+ - pgfpictures will now inherit the color from their surroundings.
+
+2003-10-20 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.32:
+ - Updated installation procedure information.
+
+2003-09-18 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.31:
+ - One parameter for \pgfdeclareimage may now be omitted. It will
+ be computed automatically.
+
+2003-08-21 Till Tantau <tantau@cs.tu-berlin.de>
+
+ Version 0.30:
+ - Created ChangeLog
+ - Added pgfshade.sty
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/FILES b/Master/texmf-dist/doc/generic/pgf/FILES
new file mode 100644
index 00000000000..9a9c7a9d985
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+pgf-1.00/latex/pgf/libraries/pgflibraryshapes.sty
+pgf-1.00/latex/pgf/libraries/pgflibrarysnakes.sty
+pgf-1.00/latex/pgf/libraries/pgflibrarytikzbackgrounds.sty
+pgf-1.00/latex/pgf/libraries/pgflibrarytikztrees.sty
+pgf-1.00/latex/pgf/systemlayer/pgfsys.sty
+pgf-1.00/latex/pgf/utilities/pgffor.sty
+pgf-1.00/latex/pgf/utilities/pgfpages.sty
+pgf-1.00/latex/pgf/utilities/pgfrcs.sty
+pgf-1.00/latex/pgf/utilities/xxcolor.sty
+pgf-1.00/plain/pgf/basiclayer/pgf.tex
+pgf-1.00/plain/pgf/basiclayer/pgfbaseimage.tex
+pgf-1.00/plain/pgf/basiclayer/pgfbaselayers.tex
+pgf-1.00/plain/pgf/basiclayer/pgfbaseplot.tex
+pgf-1.00/plain/pgf/basiclayer/pgfbaseshapes.tex
+pgf-1.00/plain/pgf/basiclayer/pgfbasesnakes.tex
+pgf-1.00/plain/pgf/basiclayer/pgfcore.tex
+pgf-1.00/plain/pgf/frontendlayer/tikz.tex
+pgf-1.00/plain/pgf/libraries/pgflibraryautomata.tex
+pgf-1.00/plain/pgf/libraries/pgflibraryarrows.tex
+pgf-1.00/plain/pgf/libraries/pgflibraryplothandlers.tex
+pgf-1.00/plain/pgf/libraries/pgflibraryplotmarks.tex
+pgf-1.00/plain/pgf/libraries/pgflibraryshapes.tex
+pgf-1.00/plain/pgf/libraries/pgflibrarysnakes.tex
+pgf-1.00/plain/pgf/libraries/pgflibrarytikzbackgrounds.tex
+pgf-1.00/plain/pgf/libraries/pgflibrarytikztrees.tex
+pgf-1.00/plain/pgf/systemlayer/pgfsys.tex
+pgf-1.00/plain/pgf/utilities/pgffor.tex
+pgf-1.00/README
diff --git a/Master/texmf-dist/doc/generic/pgf/INSTALL b/Master/texmf-dist/doc/generic/pgf/INSTALL
new file mode 100644
index 00000000000..dc1409fe836
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/INSTALL
@@ -0,0 +1,11 @@
+Installing pgf:
+---------------
+
+For the impatient:
+- Put the whole pgf directory somewhere where TeX can find them.
+- Install the xcolor package version 2.00.
+
+Long version:
+In the manual, which you find in the file
+doc/pgf/version-for-pdftex/en/pgfmanual.pdf, you will find a
+detailed explanation on how to install pgf.
diff --git a/Master/texmf-dist/doc/generic/pgf/README b/Master/texmf-dist/doc/generic/pgf/README
new file mode 100644
index 00000000000..1b8e3e27366
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/README
@@ -0,0 +1,13 @@
+pgf -- A Portable Graphic Format for TeX
+
+See the directory doc/pgf for more information. See the
+file doc/pgf/version-for-pdftex/en/pgfmanual.pdf or
+doc/pgf/version-for-text4ht/html/pgfmanual.html
+for a manual. This documentation also explains the
+installation.
+
+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
new file mode 100644
index 00000000000..c8f7d95b223
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/TODO
@@ -0,0 +1,6 @@
+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!!!)
+
diff --git a/Master/texmf-dist/doc/generic/pgf/images/pgf-apple.jpg b/Master/texmf-dist/doc/generic/pgf/images/pgf-apple.jpg
new file mode 100644
index 00000000000..cea4d4c2177
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/images/pgf-apple.jpg
Binary files differ
diff --git a/Master/texmf-dist/doc/generic/pgf/images/pgf-apple.mask.jpg b/Master/texmf-dist/doc/generic/pgf/images/pgf-apple.mask.jpg
new file mode 100644
index 00000000000..fe82742d707
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/images/pgf-apple.mask.jpg
Binary files differ
diff --git a/Master/texmf-dist/doc/generic/pgf/images/pgf-tu-logo.25.eps b/Master/texmf-dist/doc/generic/pgf/images/pgf-tu-logo.25.eps
new file mode 100644
index 00000000000..db8d18d67ce
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/images/pgf-tu-logo.25.eps
@@ -0,0 +1,812 @@
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+ZiC((rr2rrrr*`3qtp6dqtp<gr;?Nlr;?HhqYL$`qYL*gr;Z`mrojB4~>
+%%EndData
+showpage
+%%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
new file mode 100644
index 00000000000..321f15ca53a
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/images/pgf-tu-logo.jpg
Binary files differ
diff --git a/Master/texmf-dist/doc/generic/pgf/images/pgf-tu-logo.mask.jpg b/Master/texmf-dist/doc/generic/pgf/images/pgf-tu-logo.mask.jpg
new file mode 100644
index 00000000000..693877d65b7
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/images/pgf-tu-logo.mask.jpg
Binary files differ
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
new file mode 100644
index 00000000000..5a044d2a64d
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/macros/pgfmanual-en-macros.tex
@@ -0,0 +1,466 @@
+% $Header: /cvsroot/pgf/pgf/doc/pgf/macros/pgfmanual-en-macros.tex,v 1.3 2005/10/06 13:16:07 tantau Exp $
+
+% Copyright 2003, 2004 by Till Tantau <tantau@users.sourceforge.net>.
+%
+% This program can be redistributed and/or modified under the terms
+% of the GNU Public License, version 2.
+
+
+\providecommand\href[2]{\texttt{#1}}
+
+\colorlet{examplefill}{yellow!80!black}
+\definecolor{graphicbackground}{rgb}{0.96,0.96,0.8}
+\definecolor{codebackground}{rgb}{0.8,0.8,1}
+
+\newenvironment{pgfmanualentry}{\list{}{\leftmargin=2em\itemindent-\leftmargin\def\makelabel##1{\hss##1}}}{\endlist}
+\newcommand\pgfmanualentryheadline[1]{\itemsep=0pt\parskip=0pt\item\strut#1\par\topsep=0pt}
+\newcommand\pgfmanualbody{\parskip3pt}
+
+
+
+\newenvironment{pgflayout}[1]{
+ \begin{pgfmanualentry}
+ \pgfmanualentryheadline{\texttt{\string\pgfpagesuselayout\char`\{\declare{#1}\char`\}}\oarg{options}}
+ \index{#1@\protect\texttt{#1} layout}%
+ \index{Page layouts!#1@\protect\texttt{#1}}%
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+
+\newenvironment{command}[1]{
+ \begin{pgfmanualentry}
+ \extractcommand#1\@@
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+\def\extractcommand#1#2\@@{%
+ \pgfmanualentryheadline{\declare{\texttt{\string#1}}#2}%
+ \removeats{#1}%
+ \index{\strippedat @\protect\myprintocmmand{\strippedat}}}
+
+
+\renewenvironment{environment}[1]{
+ \begin{pgfmanualentry}
+ \extractenvironement#1\@@
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+\def\extractenvironement#1#2\@@{%
+ \pgfmanualentryheadline{{\ttfamily\char`\\begin\char`\{\declare{#1}\char`\}}#2}%
+ \pgfmanualentryheadline{{\ttfamily\ \ }\meta{environment contents}}%
+ \pgfmanualentryheadline{{\ttfamily\char`\\end\char`\{\declare{#1}\char`\}}}%
+ \index{#1@\protect\texttt{#1} environment}%
+ \index{Environments!#1@\protect\texttt{#1}}}
+
+
+\newenvironment{plainenvironment}[1]{
+ \begin{pgfmanualentry}
+ \extractplainenvironement#1\@@
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+\def\extractplainenvironement#1#2\@@{%
+ \pgfmanualentryheadline{{\ttfamily\declare{\char`\\#1}}#2}%
+ \pgfmanualentryheadline{{\ttfamily\ \ }\meta{environment contents}}%
+ \pgfmanualentryheadline{{\ttfamily\declare{\char`\\end#1}}}%
+ \index{#1@\protect\texttt{#1} environment}%
+ \index{Environments!#1@\protect\texttt{#1}}}
+
+
+\newenvironment{shape}[1]{
+ \begin{pgfmanualentry}
+ \pgfmanualentryheadline{Shape {\ttfamily\declare{#1}}}%
+ \index{#1@\protect\texttt{#1} shape}%
+ \index{Shapes!#1@\protect\texttt{#1}}
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+\newenvironment{snake}[1]{
+ \begin{pgfmanualentry}
+ \pgfmanualentryheadline{Snake {\ttfamily\declare{#1}}}%
+ \index{#1@\protect\texttt{#1} snake}%
+ \index{Snakes!#1@\protect\texttt{#1}}
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+\def\pgfmanualbar{\char`\|}
+\makeatletter
+\newenvironment{pathoperation}[3][]{
+ \begin{pgfmanualentry}
+ \pgfmanualentryheadline{\textcolor{gray}{{\ttfamily\char`\\path}\
+ \ \dots}
+ \declare{\texttt{#2}}#3\ \textcolor{gray}{\dots\texttt{;}}}%
+ \def\pgfmanualtest{#1}%
+ \ifx\pgfmanualtest\@empty%
+ \index{#2@\protect\texttt{#2} path operation}%
+ \index{Path operations!#2@\protect\texttt{#2}}%
+ \fi%
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+\makeatother
+
+\def\extractcommand#1#2\@@{%
+ \pgfmanualentryheadline{\declare{\texttt{\string#1}}#2}%
+ \removeats{#1}%
+ \index{\strippedat @\protect\myprintocmmand{\strippedat}}}
+
+
+\newenvironment{package}[1]{
+ \begin{pgfmanualentry}
+ \pgfmanualentryheadline{{\ttfamily\char`\\usepackage\char`\{\declare{#1}\char`\}\space\space \char`\%\space\space \LaTeX}}
+ \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}}
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+
+
+\newenvironment{filedescription}[1]{
+ \begin{pgfmanualentry}
+ \pgfmanualentryheadline{File {\ttfamily\declare{#1}}}%
+ \index{#1@\protect\texttt{#1} file}%
+ \index{Packages and files!#1@\protect\texttt{#1}}%
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+
+\newenvironment{packageoption}[1]{
+ \begin{pgfmanualentry}
+ \pgfmanualentryheadline{{\ttfamily\char`\\usepackage[\declare{#1}]\char`\{pgf\char`\}}}
+ \index{#1@\protect\texttt{#1} package option}%
+ \index{Package options for \textsc{pgf}!#1@\protect\texttt{#1}}%
+ \pgfmanualbody
+}
+{
+ \end{pgfmanualentry}
+}
+
+
+
+\newcommand\opt[1]{{\color{black!50!green}#1}}
+\newcommand\ooarg[1]{{\ttfamily[}\meta{#1}{\ttfamily]}}
+
+\def\opt{\afterassignment\pgfmanualopt\let\next=}
+\def\pgfmanualopt{\ifx\next\bgroup\bgroup\color{black!50!green}\else{\color{black!50!green}\next}\fi}
+
+
+
+\def\beamer{\textsc{beamer}}
+\def\pdf{\textsc{pdf}}
+\def\pgfname{\textsc{pgf}}
+\def\tikzname{Ti\emph{k}Z}
+\def\pstricks{\textsc{pstricks}}
+\def\prosper{\textsc{prosper}}
+\def\seminar{\textsc{seminar}}
+\def\texpower{\textsc{texpower}}
+\def\foils{\textsc{foils}}
+
+{
+ \makeatletter
+ \global\let\myempty=\@empty
+ \global\let\mygobble=\@gobble
+ \catcode`\@=12
+ \gdef\getridofats#1@#2\relax{%
+ \def\getridtest{#2}%
+ \ifx\getridtest\myempty%
+ \expandafter\def\expandafter\strippedat\expandafter{\strippedat#1}
+ \else%
+ \expandafter\def\expandafter\strippedat\expandafter{\strippedat#1\protect\printanat}
+ \getridofats#2\relax%
+ \fi%
+ }
+
+ \gdef\removeats#1{%
+ \let\strippedat\myempty%
+ \edef\strippedtext{\stripcommand#1}%
+ \expandafter\getridofats\strippedtext @\relax%
+ }
+
+ \gdef\stripcommand#1{\expandafter\mygobble\string#1}
+}
+
+\def\printanat{\char`\@}
+
+\def\declare{\afterassignment\pgfmanualdeclare\let\next=}
+\def\pgfmanualdeclare{\ifx\next\bgroup\bgroup\color{red!75!black}\else{\color{red!75!black}\next}\fi}
+
+
+\let\textoken=\command
+\let\endtextoken=\endcommand
+
+\def\myprintocmmand#1{\texttt{\char`\\#1}}
+
+\def\example{\par\smallskip\noindent\textit{Example: }}
+\def\themeauthor{\par\smallskip\noindent\textit{Theme author: }}
+
+\def\itemoption#1{\item \declare{\texttt{#1}}%
+ \indexoption{#1}%
+}
+
+\def\indexoption#1{%
+ \index{#1@\protect\texttt{#1} option}%
+ \index{Graphic options!#1@\protect\texttt{#1}}%
+}
+
+\def\itemstyle#1{\item \texttt{style=}\declare{\texttt{#1}}%
+ \index{#1@\protect\texttt{#1} style}%
+ \index{Styles!#1@\protect\texttt{#1}}%
+}
+
+
+
+\def\class#1{\list{}{\leftmargin=2em\itemindent-\leftmargin\def\makelabel##1{\hss##1}}%
+\extractclass#1@\par\topsep=0pt}
+\def\endclass{\endlist}
+\def\extractclass#1#2@{%
+\item{{{\ttfamily\char`\\documentclass}#2{\ttfamily\char`\{\declare{#1}\char`\}}}}%
+ \index{#1@\protect\texttt{#1} class}%
+ \index{Classes!#1@\protect\texttt{#1}}}
+
+\def\partname{Part}
+
+\makeatletter
+\def\index@prologue{\section*{Index}\addcontentsline{toc}{section}{Index}
+ This index only contains automatically generated entries. A good
+ index should also contain carefully selected keywords. This index is
+ not a good index.
+ \bigskip
+}
+\c@IndexColumns=2
+ \def\theindex{\@restonecoltrue
+ \columnseprule \z@ \columnsep 35\p@
+ \twocolumn[\index@prologue]%
+ \parindent -30pt
+ \columnsep 15pt
+ \parskip 0pt plus 1pt
+ \leftskip 30pt
+ \rightskip 0pt plus 2cm
+ \small
+ \def\@idxitem{\par}%
+ \let\item\@idxitem \ignorespaces}
+ \def\endtheindex{\onecolumn}
+\def\noindexing{\let\index=\@gobble}
+
+
+\newcommand\symarrow[1]{
+ \index{#1@\protect\texttt{#1} arrow tip}%
+ \index{Arrow tips!#1@\protect\texttt{#1}}
+ \texttt{#1}& yields thick
+ \begin{tikzpicture}[arrows={#1-#1},thick,baseline]
+ \useasboundingbox (0pt,-0.5ex) rectangle (1cm,2ex);
+ \draw (0pt,.5ex) -- (1cm,.5ex);
+ \end{tikzpicture} and thin
+ \begin{tikzpicture}[arrows={#1-#1},thin,baseline]
+ \useasboundingbox (0pt,-0.5ex) rectangle (1cm,2ex);
+ \draw (0pt,.5ex) -- (1cm,.5ex);
+ \end{tikzpicture}
+}
+
+\newcommand\sarrow[2]{
+ \index{#1@\protect\texttt{#1} arrow tip}%
+ \index{Arrow tips!#1@\protect\texttt{#1}}
+ \index{#2@\protect\texttt{#2} arrow tip}%
+ \index{Arrow tips!#2@\protect\texttt{#2}}
+ \texttt{#1-#2}& yields thick
+ \begin{tikzpicture}[arrows={#1-#2},thick,baseline]
+ \useasboundingbox (0pt,-0.5ex) rectangle (1cm,2ex);
+ \draw (0pt,.5ex) -- (1cm,.5ex);
+ \end{tikzpicture} and thin
+ \begin{tikzpicture}[arrows={#1-#2},thin,baseline]
+ \useasboundingbox (0pt,-0.5ex) rectangle (1cm,2ex);
+ \draw (0pt,.5ex) -- (1cm,.5ex);
+ \end{tikzpicture}
+}
+
+\newcommand\carrow[1]{
+ \index{#1@\protect\texttt{#1} arrow tip}%
+ \index{Arrow tips!#1@\protect\texttt{#1}}
+ \texttt{#1}& yields for line width 1ex
+ \begin{tikzpicture}[arrows={#1-#1},line width=1ex,baseline]
+ \useasboundingbox (0pt,-0.5ex) rectangle (1.5cm,2ex);
+ \draw (0pt,.5ex) -- (1.5cm,.5ex);
+ \end{tikzpicture}
+}
+\def\myvbar{\char`\|}
+\newcommand\plotmarkentry[1]{%
+ \index{#1@\protect\texttt{#1} plot mark}%
+ \index{Plot marks!#1@\protect\texttt{#1}}
+ \texttt{\char`\\pgfuseplotmark\char`\{\declare{#1}\char`\}} &
+ \tikz\draw[color=black!25] plot[mark=#1,mark options={fill=examplefill,draw=black}] coordinates{(0,0) (.5,0.2) (1,0) (1.5,0.2)};\\
+}
+\newcommand\plotmarkentrytikz[1]{%
+ \index{#1@\protect\texttt{#1} plot mark}%
+ \index{Plot marks!#1@\protect\texttt{#1}}
+ \texttt{mark=\declare{#1}} & \tikz\draw[color=black!25]
+ plot[mark=#1,mark options={fill=examplefill,draw=black}]
+ coordinates {(0,0) (.5,0.2) (1,0) (1.5,0.2)};\\
+}
+
+
+
+\ifx\scantokens\@undefined
+ \PackageError{pgfmanual-macros}{You need to use extended latex
+ (elatex) or (pdfelatex) to process this document}{}
+\fi
+
+\begingroup
+\catcode`|=0
+\catcode`[= 1
+\catcode`]=2
+\catcode`\{=12
+\catcode `\}=12
+\catcode`\\=12 |gdef|find@example#1\end{codeexample}[|endofcodeexample[#1]]
+|endgroup
+
+\begingroup
+\catcode`\^=7
+\catcode`\^^M=13
+\catcode`\ =13%
+\gdef\returntospace{\catcode`\ =13\def {\space}\catcode`\^^M=13\def^^M{}}%
+\endgroup
+
+\begingroup
+\catcode`\%=13
+\catcode`\^^M=13
+\gdef\commenthandler{\catcode`\%=13\def%{\@gobble@till@return}}
+\gdef\@gobble@till@return#1^^M{}
+\gdef\typesetcomment{\catcode`\%=13\def%{\@typeset@till@return}}
+\gdef\@typeset@till@return#1^^M{{\def%{\char`\%}\textsl{\char`\%#1}}\par}
+\endgroup
+
+\define@key{codeexample}{width}{\setlength\codeexamplewidth{#1}}
+\define@key{codeexample}{graphic}{\colorlet{graphicbackground}{#1}}
+\define@key{codeexample}{code}{\colorlet{codebackground}{#1}}
+\define@key{codeexample}{execute code}{\csname code@execute#1\endcsname}
+\define@key{codeexample}{code only}[]{\code@executefalse}
+
+\newdimen\codeexamplewidth
+\newif\ifcode@execute
+\newbox\codeexamplebox
+\def\codeexample[#1]{%
+ \code@executetrue
+ \setlength\codeexamplewidth{4cm+7pt}
+ \setkeys{codeexample}{#1}%
+ \parindent0pt
+ \begingroup%
+ \par%
+ \medskip%
+ \let\do\@makeother%
+ \dospecials%
+ \obeylines%
+ \@vobeyspaces%
+ \catcode`\%=13%
+ \catcode`\^^M=13%
+ \find@example}
+\def\endofcodeexample#1{%
+ \endgroup%
+ \ifcode@execute%
+ \setbox\codeexamplebox=\hbox{%
+ {%
+ {%
+ \returntospace%
+ \commenthandler%
+ \xdef\code@temp{#1}% removes returns and comments
+ }%
+ \colorbox{graphicbackground}{\color{black}\ignorespaces%
+ \expandafter\scantokens\expandafter{\code@temp\ignorespaces}\ignorespaces}%
+ }%
+ }%
+ \ifdim\wd\codeexamplebox>\codeexamplewidth%
+ \def\code@start{\par}%
+ \def\code@flushstart{}\def\code@flushend{}%
+ \def\code@mid{\parskip2pt\par\noindent}%
+ \def\code@width{\linewidth-6pt}%
+ \def\code@end{}%
+ \else%
+ \def\code@start{%
+ \linewidth=\textwidth%
+ \parshape \@ne 0pt \linewidth
+ \leavevmode%
+ \hbox\bgroup}%
+ \def\code@flushstart{\hfill}%
+ \def\code@flushend{\hbox{}}%
+ \def\code@mid{\hskip6pt}%
+ \def\code@width{\linewidth-12pt-\codeexamplewidth}%
+ \def\code@end{\egroup}%
+ \fi%
+ \code@start%
+ \noindent%
+ \begin{minipage}[t]{\codeexamplewidth}\raggedright
+ \hrule width0pt%
+ \footnotesize\vskip-1em%
+ \code@flushstart\box\codeexamplebox\code@flushend%
+ \vskip-1ex
+ \leavevmode%
+ \end{minipage}%
+ \else%
+ \def\code@mid{\par}
+ \def\code@width{\linewidth-6pt}
+ \def\code@end{}
+ \fi%
+ \code@mid%
+ \colorbox{codebackground}{%
+ \begin{minipage}[t]{\code@width}%
+ {%
+ \let\do\@makeother
+ \dospecials
+ \frenchspacing\@vobeyspaces
+ \normalfont\ttfamily\footnotesize
+ \typesetcomment%
+ \@tempswafalse
+ \def\par{%
+ \if@tempswa
+ \leavevmode \null \@@par\penalty\interlinepenalty
+ \else
+ \@tempswatrue
+ \ifhmode\@@par\penalty\interlinepenalty\fi
+ \fi}%
+ \obeylines
+ \everypar \expandafter{\the\everypar \unpenalty}%
+ #1}
+ \end{minipage}}%
+ \code@end%
+ \par%
+ \medskip
+ \end{codeexample}
+}
+
+\def\endcodeexample{}
+
+
+\makeatother
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "beameruserguide"
+%%% End:
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
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--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-actions.tex
@@ -0,0 +1,465 @@
+% 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{Using Paths}
+
+\subsection{Overview}
+
+Once a path has been constructed, it can be \emph{used} in different
+ways. For example, you can draw the path or fill it or use it for
+clipping.
+
+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 |\pgfset|. \emph{All
+ options that influence how a path is rendered always influence the
+ complete path.} 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.
+
+In detail, paths can be used in the following ways:
+
+\begin{enumerate}
+\item
+ You can \emph{stroke} (also known as \emph{draw}) a path.
+\item
+ You can \emph{fill} a path with a uniform color.
+\item
+ You can \emph{clip} subsequent renderings against the path.
+\item
+ You can \emph{shade} a path.
+\item
+ You can \emph{use the path as bounding box} for the whole picture.
+\end{enumerate}
+You can also perform any combination of the above, though it makes no
+sense to fill and shade a path at the same time.
+
+To perform (a combination of) the first three actions, you can use the
+following command:
+\begin{command}{\pgfusepath\marg{actions}}
+ Applies the given \meta{actions} to the current path. Afterwards,
+ the current path is (globally) empty. The following actions are
+ possible:
+ \begin{itemize}
+ \item \declare{|fill|}
+ fills the path. See Section~\ref{section-fill} for further details.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{1cm}{1cm}}
+ \pgfpathlineto{\pgfpoint{1cm}{0cm}}
+ \pgfusepath{fill}
+\end{pgfpicture}
+\end{codeexample}
+ \item \declare{|stroke|}
+ strokes the path. See Section~\ref{section-stroke} for further details.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{1cm}{1cm}}
+ \pgfpathlineto{\pgfpoint{1cm}{0cm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+ \item \declare{|clip|}
+ clips all subsequent drawings against the path. See
+ Section~\ref{section-clip} for further details.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{1cm}{1cm}}
+ \pgfpathlineto{\pgfpoint{1cm}{0cm}}
+ \pgfusepath{stroke,clip}
+ \pgfpathcircle{\pgfpoint{1cm}{1cm}}{0.5cm}
+ \pgfusepath{fill}
+\end{pgfpicture}
+\end{codeexample}
+ \item \declare{|discard|}
+ 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.
+ \end{itemize}
+ When more than one of the first three actions are given, they are
+ applied in the above ordering, regardless of their ordering in
+ \meta{actions}. Thus, |{stroke,fill}| and |{fill,stroke}| have the
+ same effect.
+\end{command}
+
+To shade a path, use the |\pgfshadepath| command, which is explained
+in Section~\ref{section-shadings}.
+
+
+
+\subsection{Stroking a Path}
+\label{section-stroke}
+
+When you use |\pgfusepath{stroke}| to stroke a path, several graphic
+parameters influence how the path is drawn. The commands for setting
+these parameters are explained in the following.
+
+Note that all graphic parameters apply to the path as a whole, never
+only to a part of it.
+
+All graphic parameters are local to the current |{pgfscope}|, but they
+persists past \TeX\ groups, \emph{except} 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 \TeX\ group, but
+this may change in the future, so do not count on this.
+
+\subsubsection{Graphic Parameter: Line Width}
+
+\begin{command}{\pgfsetlinewidth\marg{line width}}
+ This command sets the line width for subsequent strokes (in the
+ current |pgfscope|). The line width is given as a normal \TeX\
+ dimension like |0.4pt| or |1mm|.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfsetlinewidth{1mm}
+ \pgfpathmoveto{\pgfpoint{0mm}{0mm}}
+ \pgfpathlineto{\pgfpoint{2cm}{0mm}}
+ \pgfusepath{stroke}
+ \pgfsetlinewidth{2\pgflinewidth} % double in size
+ \pgfpathmoveto{\pgfpoint{0mm}{5mm}}
+ \pgfpathlineto{\pgfpoint{2cm}{5mm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\begin{textoken}{\pgflinewidth}
+ You can access the current line width via the \TeX\ dimension
+ |\pgflinewidth|. It will be set to the correct line width, that is,
+ even when a \TeX\ group closed, the value will be correct since it
+ is set globally, but when a |{pgfscope}| closes, the value is set to
+ the correct value it had before the scope.
+\end{textoken}
+
+
+\subsubsection{Graphic Parameter: Caps and Joins}
+
+\begin{command}{\pgfsetbuttcap}
+ Sets the line cap to a butt cap. See Section~\ref{section-cap-joins}
+ for an explanation of what this is.
+\end{command}
+\begin{command}{\pgfsetroundcap}
+ Sets the line cap to a round cap. See again
+ Section~\ref{section-cap-joins}.
+\end{command}
+\begin{command}{\pgfsetrectcap}
+ Sets the line cap to a square cap. See again
+ Section~\ref{section-cap-joins}.
+\end{command}
+\begin{command}{\pgfsetroundjoin}
+ Sets the line join to a round join. See again
+ Section~\ref{section-cap-joins}.
+\end{command}
+\begin{command}{\pgfsetbeveljoin}
+ Sets the line join to a bevel join. See again
+ Section~\ref{section-cap-joins}.
+\end{command}
+\begin{command}{\pgfsetmiterjoin}
+ Sets the line join to a miter join. See again
+ Section~\ref{section-cap-joins}.
+\end{command}
+\begin{command}{\pgfsetmiterlimit\marg{miter limit factor}}
+ Sets the miter limit to \meta{miter limit factor}. See again
+ Section~\ref{section-cap-joins}.
+\end{command}
+
+\subsubsection{Graphic Parameter: Dashing}
+
+\begin{command}{\pgfsetdash\marg{list of even length of dimensions}\marg{phase}}
+ 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 \meta{phase} specifies where the first solid part
+ starts relative to the beginning of the line.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfsetdash{{0.5cm}{0.5cm}{0.1cm}{0.2cm}}{0cm}
+ \pgfpathmoveto{\pgfpoint{0mm}{0mm}}
+ \pgfpathlineto{\pgfpoint{2cm}{0mm}}
+ \pgfusepath{stroke}
+ \pgfsetdash{{0.5cm}{0.5cm}{0.1cm}{0.2cm}}{0.1cm}
+ \pgfpathmoveto{\pgfpoint{0mm}{1mm}}
+ \pgfpathlineto{\pgfpoint{2cm}{1mm}}
+ \pgfusepath{stroke}
+ \pgfsetdash{{0.5cm}{0.5cm}{0.1cm}{0.2cm}}{0.2cm}
+ \pgfpathmoveto{\pgfpoint{0mm}{2mm}}
+ \pgfpathlineto{\pgfpoint{2cm}{2mm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+
+ Use |\pgfsetdash{}{0pt}| to get a solid dashing.
+\end{command}
+
+\subsubsection{Graphic Parameter: Stroke Color}
+
+\begin{command}{\pgfsetstrokecolor\marg{color}}
+ Sets the color used for stroking lines to \meta{color}, where
+ \meta{color} is a \LaTeX\ color like |red| or |black!20!red|. Unlike
+ the |\color| command, the effect of this command lasts till the end
+ of the current |{pgfscope}| and not till the end of the current
+ \TeX\ group.
+
+ The color used for stroking may be different from the color used for
+ filling. However, a |\color| command will always ``immediately
+ override'' any special settings for the stroke and fill colors.
+
+ In plain \TeX, this command will also work, but the problem of
+ \emph{defining} a color arises. After all, plain \TeX\ does not
+ provide \LaTeX\ colors. For this reason, \pgfname\ implements a
+ minimalistic ``emulation'' of the |\definecolor|, |\colorlet|, and
+ |\color| commands. Only gray-scale and rgb colors are supported. For
+ most cases this turns out to be enough.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfsetlinewidth{1pt}
+ \color{red}
+ \pgfpathcircle{\pgfpoint{0cm}{0cm}}{3mm} \pgfusepath{fill,stroke}
+ \pgfsetstrokecolor{black}
+ \pgfpathcircle{\pgfpoint{1cm}{0cm}}{3mm} \pgfusepath{fill,stroke}
+ \color{red}
+ \pgfpathcircle{\pgfpoint{2cm}{0cm}}{3mm} \pgfusepath{fill,stroke}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsetcolor\marg{color}}
+ Sets both the stroke and fill color. The difference to the normal
+ |\color| command is that the effect lasts till the end of the
+ current |{pgfscope}|, not only till the end of the current \TeX\
+ group.
+\end{command}
+
+
+\subsubsection{Graphic Parameter: Stroke Opacity}
+
+\begin{command}{\pgfsetstrokeopacity\marg{value}}
+ Sets the opacity of stroking operations. The \meta{value} should be
+ a number between |0| and |1|, where |1| means ``fully opaque'' and
+ |0| means ``fully transparent.'' A value like |0.5| will cause paths
+ to be stroked in a semitransparent way.
+
+ \emph{Note:} For PostScript output, opacity is rendered correctly
+ only with the most recent versions of GhostScript. Printers and
+ other programs will ignore the opacity setting.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfsetlinewidth{5mm}
+ \color{red}
+ \pgfpathcircle{\pgfpoint{0cm}{0cm}}{10mm} \pgfusepath{stroke}
+ \color{black}
+ \pgfsetstrokeopacity{0.5}
+ \pgfpathcircle{\pgfpoint{1cm}{0cm}}{10mm} \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+
+\subsubsection{Graphic Parameter: Arrows}
+
+After a path has been drawn, \pgfname\ 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.
+
+\begin{command}{\pgfsetarrowsstart\marg{arrow kind}}
+ 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 ``touch''
+ the ``real'' start of the line.
+
+ To ``clear'' the start arrow, say |\pgfsetarrowsstart{}|.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfsetarrowsstart{latex}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{1cm}{0cm}}
+ \pgfusepath{stroke}
+ \pgfsetarrowsstart{to}
+ \pgfpathmoveto{\pgfpoint{0cm}{2mm}}
+ \pgfpathlineto{\pgfpoint{1cm}{2mm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+
+ The effect of this command persists only till the end of the current
+ \TeX\ scope.
+
+ The different possible arrow kinds are explained in
+ Section~\ref{section-arrows}.
+\end{command}
+
+\begin{command}{\pgfsetarrowsend\marg{arrow kind}}
+ Sets the arrow tip kind used at the end of a path.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfsetarrowsstart{latex}
+ \pgfsetarrowsend{to}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{1cm}{0cm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsetarrows{\texttt{\char`\{}}\meta{start kind}|-|\meta{end kind}{\texttt{\char`\}}}}
+ Sets the start arrow kind to \meta{start kind} and the end kind to
+ \meta{end kind}.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfsetarrows{latex-to}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{1cm}{0cm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsetshortenstart\marg{dimension}}
+ 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.
+
+ This command is useful if you wish arrows or lines to ``stop shortly
+ before'' a given point.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathcircle{\pgfpointorigin}{5mm}
+ \pgfusepath{stroke}
+ \pgfsetarrows{latex-}
+ \pgfsetshortenstart{4pt}
+ \pgfpathmoveto{\pgfpoint{5mm}{0cm}} % would be on the circle
+ \pgfpathlineto{\pgfpoint{2cm}{0cm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsetshortenend\marg{dimension}}
+ Works like |\pgfsetshortenstart|.
+\end{command}
+
+
+
+\subsection{Filling a Path}
+\label{section-fill}
+
+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
+``inside'' 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 ``inside.'' These rules are explained in
+Section~\ref{section-rules}.
+
+\subsubsection{Graphic Parameter: Interior Rule}
+
+You can set which rule is used using the following commands:
+
+\begin{command}{\pgfseteorule}
+ Dictates that the even-odd rule is used in subsequent fillings in
+ the current \emph{\TeX\ scope}. Thus, for once, the effect of this
+ command does not persist past the current \TeX\ scope.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfseteorule
+ \pgfpathcircle{\pgfpoint{0mm}{0cm}}{7mm}
+ \pgfpathcircle{\pgfpoint{5mm}{0cm}}{7mm}
+ \pgfusepath{fill}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsetnonzerorule}
+ Dictates that the nonzero winding number rule is used in subsequent
+ fillings in the current \TeX\ scope. This is the default.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfsetnonzerorule
+ \pgfpathcircle{\pgfpoint{0mm}{0cm}}{7mm}
+ \pgfpathcircle{\pgfpoint{5mm}{0cm}}{7mm}
+ \pgfusepath{fill}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\subsubsection{Graphic Parameter: Filling Color}
+
+\begin{command}{\pgfsetfillcolor\marg{color}}
+ Sets the color used for filling paths to \meta{color}. Like the
+ stroke color, the effect lasts only till the next use of |\color|.
+\end{command}
+
+
+\subsubsection{Graphic Parameter: Fill Opacity}
+
+\begin{command}{\pgfsetfillopacity\marg{value}}
+ Sets the opacity of filling operations. As for stroking, the
+ \meta{value} should be a number between |0| and~|1|.
+
+ The ``filling transparency'' will also be used for text and images.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \pgfsetfillopacity{0.5}
+ \fill[red] (90:1cm) circle (11mm);
+ \fill[green] (210:1cm) circle (11mm);
+ \fill[blue] (-30:1cm) circle (11mm);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\subsection{Clipping a Path}
+\label{section-clip}
+
+When you add the |clip| 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.
+
+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.
+
+The only way to enlarge the clipping path is to end the |{pgfscope}|
+in which the clipping was done. At the end of a |{pgfscope}| the
+clipping path that was in force at the beginning of the scope is
+reinstalled.
+
+\subsection{Using a Path as a Bounding Box}
+\label{section-using-bb}
+
+When you add the |use as bounding box| option, the bounding box of the
+picture will be enlarged such that the path in encompassed, but any
+\emph{subsequent} paths of the current \TeX\ scope will not have any
+effect on the size of the bounding box. Typically, you use this
+command at the very beginning of a |{pgfpicture}| environment.
+
+\begin{codeexample}[]
+Left
+\begin{pgfpicture}
+ \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}
+ \pgfusepath{use as bounding box} % draws nothing
+
+ \pgfpathcircle{\pgfpointorigin}{2ex}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+right.
+\end{codeexample}
+
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
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+% 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{Arrow Tips}
+\label{section-arrows}
+
+
+\subsection{Overview}
+
+\subsubsection{When Does PGF Draw Arrow Tips?}
+
+\pgfname\ offers an interface for placing \emph{arrow tips} at the end
+of lines. The interface works as follows:
+
+\begin{enumerate}
+\item
+ You (or someone else) assigns a name to a certain kind of arrow
+ tips. For example, the
+ arrow tip |latex| is the arrow tip used by the standard \LaTeX\
+ picture environment; the arrow tip |to| looks like the tip of the
+ arrow in \TeX's |\to| command; and so on.
+
+ This is done once at the beginning of the document.
+\item
+ Inside some picture, at some point you specify that in the current
+ scope from now on you would like tips of, say, kind |to| to be added
+ at the end and/or beginning of all paths.
+
+ When an arrow kind has been installed and when \pgfname\ is about to
+ stroke a path, the following things happen:
+ \begin{enumerate}
+ \item
+ The beginning and/or end of the path is shortened appropriately.
+ \item
+ The path is stroked.
+ \item
+ The arrow tip is drawn at the beginning and/or end of the path,
+ appropriately rotated and appropriately resized.
+ \end{enumerate}
+\end{enumerate}
+
+In the above description, there are a number of ``appropriately.''
+The exact details are not quite trivial and described later on.
+
+\subsubsection{Meta-Arrow Tips}
+
+In \pgfname, arrows are ``meta-arrows'' in the same way that fonts in
+\TeX\ are ``meta-fonts.'' When a meta-arrow is resized, it is not
+simply scaled, but a possibly complicated transformation is applied to
+the size.
+
+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 ``blueprint'' (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: ``Berlin'' and
+``\tikz{\node [scale=2,inner sep=0pt,outer sep=0pt]{\tiny
+ Berlin};}''. The first is a ``normal'' text, the second is the tiny
+version scaled by a factor of two. Obviously, the first look
+better. Now, compare ``\tikz{\node [scale=.5,inner sep=0pt,outer
+ sep=0pt]{Berlin};}'' and ``{\tiny Berlin}''. This time, the normal
+text was scaled down, while the second text is a ``normal'' tiny
+text. The second text is easier to read.
+
+\pgfname'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
+\emph{not} 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.
+
+To appreciate the difference, here are the |latex| and |to| arrows, as
+drawn by \pgfname\ at four different sizes:
+
+\medskip
+\begin{tikzpicture}
+ \draw[-latex,line width=0.1pt] (0pt,0ex) -- +(3,0) node[thin,right] {line width is 0.1pt};
+ \draw[-latex,line width=0.4pt] (0pt,-2em) -- +(3,0) node[thin,right] {line width is 0.4pt};
+ \draw[-latex,line width=1.2pt] (0pt,-4em) -- +(3,0) node[thin,right] {line width is 1.2pt};
+ \draw[-latex,line width=5pt] (0pt,-6em) -- +(3,0) node[thin,right] {line width is 5pt};
+
+ \draw[-to,line width=0.1pt] (6cm,0ex) -- +(3,0) node[thin,right] {line width is 0.1pt};
+ \draw[-to,line width=0.4pt] (6cm,-2em) -- +(3,0) node[thin,right] {line width is 0.4pt};
+ \draw[-to,line width=1.2pt] (6cm,-4em) -- +(3,0) node[thin,right] {line width is 1.2pt};
+ \draw[-to,line width=5pt] (6cm,-6em) -- +(3,0) node[thin,right] {line width is 5pt};
+\end{tikzpicture}
+
+\medskip
+Here, by comparison, is the same arrow when it is simply ``resized''
+(as done by most programs):
+
+\pgfarrowsdeclare{bad latex}{bad latex}
+{
+ \pgfarrowsleftextend{-1\pgflinewidth}
+ \pgfarrowsrightextend{9\pgflinewidth}
+}
+{
+ \pgfpathmoveto{\pgfpoint{9\pgflinewidth}{0pt}}
+ \pgfpathcurveto
+ {\pgfpoint{6.3333\pgflinewidth}{.5\pgflinewidth}}
+ {\pgfpoint{2\pgflinewidth}{2\pgflinewidth}}
+ {\pgfpoint{-1\pgflinewidth}{3.75\pgflinewidth}}
+ \pgfpathlineto{\pgfpoint{-1\pgflinewidth}{-3.75\pgflinewidth}}
+ \pgfpathcurveto
+ {\pgfpoint{2\pgflinewidth}{-2\pgflinewidth}}
+ {\pgfpoint{6.3333\pgflinewidth}{-.5\pgflinewidth}}
+ {\pgfpoint{9\pgflinewidth}{0pt}}
+ \pgfusepathqfill
+}
+
+\pgfarrowsdeclare{bad to}{bad to}
+{
+ \pgfarrowsleftextend{-2\pgflinewidth}
+ \pgfarrowsrightextend{\pgflinewidth}
+}
+{
+ \pgfsetlinewidth{0.8\pgflinewidth}
+ \pgfsetdash{}{0pt}
+ \pgfsetroundcap
+ \pgfsetroundjoin
+ \pgfpathmoveto{\pgfpoint{-3\pgflinewidth}{4\pgflinewidth}}
+ \pgfpathcurveto
+ {\pgfpoint{-2.75\pgflinewidth}{2.5\pgflinewidth}}
+ {\pgfpoint{0pt}{0.25\pgflinewidth}}
+ {\pgfpoint{0.75\pgflinewidth}{0pt}}
+ \pgfpathcurveto
+ {\pgfpoint{0pt}{-0.25\pgflinewidth}}
+ {\pgfpoint{-2.75\pgflinewidth}{-2.5\pgflinewidth}}
+ {\pgfpoint{-3\pgflinewidth}{-4\pgflinewidth}}
+ \pgfusepathqstroke
+}
+
+\medskip
+\begin{tikzpicture}
+ \draw[-bad latex,line width=0.1pt] (0pt,0ex) -- +(3,0) node[thin,right] {line width is 0.1pt};
+ \draw[-bad latex,line width=0.4pt] (0pt,-2em) -- +(3,0) node[thin,right] {line width is 0.4pt};
+ \draw[-bad latex,line width=1.2pt] (0pt,-4em) -- +(3,0) node[thin,right] {line width is 1.2pt};
+ \draw[-bad latex,line width=5pt] (0pt,-6em) -- +(3,0) node[thin,right] {line width is 5pt};
+
+ \draw[-bad to,line width=0.1pt] (6cm,0ex) -- +(3,0) node[thin,right] {line width is 0.1pt};
+ \draw[-bad to,line width=0.4pt] (6cm,-2em) -- +(3,0) node[thin,right] {line width is 0.4pt};
+ \draw[-bad to,line width=1.2pt] (6cm,-4em) -- +(3,0) node[thin,right] {line width is 1.2pt};
+ \draw[-bad to,line width=5pt] (6cm,-6em) -- +(3,0) node[thin,right] {line width is 5pt};
+\end{tikzpicture}
+
+\bigskip
+As can be seen, simple scaling produces arrow tips that are way too
+large at larger sizes and way too small at smaller sizes.
+
+
+
+\subsection{Declaring an Arrow Tip Kind}
+
+To declare an arrow kind ``from scratch,'' the following command is
+used:
+
+\begin{command}{\pgfarrowsdeclare\marg{start name}\marg{end
+ name}\marg{extend code}\marg{arrow tip code}}
+ 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 \meta{arrow tip code} 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.
+
+ \medskip
+ \textbf{Naming the arrow kind.}
+ The \meta{start name} is the name
+ used for the arrow tip when it is at the start of a path, the \meta{end
+ name} is the name used at the end of a path. For example, the
+ arrow kind that looks like a parenthesis has the \meta{start
+ name} |(| and the \meta{end name} |)| so that you can say
+ |\pgfsetarrows{(-)}| to specify that you want parenthesis arrows and
+ both ends.
+
+ The \meta{end name} and \meta{start name} can be quite arbitrary and
+ may contain spaces.
+
+ \medskip
+ \textbf{Basics of the arrow tip code.}
+ Let us next have a look at the \meta{arrow tip code}. This code will
+ be used to draw the arrow tip when \pgfname\ thinks this is
+ necessary. The code should draw an arrow that ``points right,''
+ which means that is should draw an arrow at the end of a line coming
+ from the left and ending at the origin.
+
+ 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:
+\begin{codeexample}[]
+\begin{tikzpicture}[line width=3pt]
+ \draw (-2,0) -- (0,0);
+ \draw[red,join=round,cap=round]
+ (-10pt,10pt) arc (180:270:10pt) arc (90:180:10pt);
+\end{tikzpicture}
+\end{codeexample}
+
+ We could use the following as \meta{arrow tip code} for this:
+\begin{codeexample}[code only]
+\pgfarrowsdeclare{arcs}{arcs}{...}
+{
+ \pgfsetdash{}{0pt} % do not dash
+ \pgfsetroundjoin % fix join
+ \pgfsetroundcap % fix cap
+ \pgfpathmoveto{\pgfpoint{-10pt}{10pt}}
+ \pgfpatharc{180}{270}{10pt}
+ \pgfpatharc{90}{180}{10pt}
+ \pgfusepathqstroke
+}
+\end{codeexample}
+
+ Indeed, when the |...| is set appropriately (in a moment), we can
+ write the following:
+\pgfarrowsdeclare{arcs}{arcs}{\pgfarrowsleftextend{0pt}\pgfarrowsrightextend{0pt}}
+{
+ \pgfsetdash{}{0pt} % do not dash
+ \pgfsetroundjoin % fix join
+ \pgfsetroundcap % fix cap
+ \pgfpathmoveto{\pgfpoint{-10pt}{10pt}}
+ \pgfpatharc{180}{270}{10pt}
+ \pgfpatharc{90}{180}{10pt}
+ \pgfusepathqstroke
+}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[-arcs,line width=3pt] (-2,0) -- (0,0);
+ \draw[arcs-arcs,line width=1pt] (-2,-1.5) -- (0,-1);
+ \useasboundingbox (-2,-2) rectangle (0,0.75);
+\end{tikzpicture}
+\end{codeexample}
+
+ 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.
+
+ \medskip
+ \textbf{Special considerations about the arrow tip code.}
+ There are several things you need to be aware of when designing
+ arrow tip code:
+ \begin{itemize}
+ \item
+ Inside the code, you may not use the |\pgfusepath|
+ command. The reason is that this command internally calls arrow
+ construction commands, which is something you obviously do not want
+ to happen.
+
+ Instead of |\pgfusepath|, use the quick versions. Typically, you
+ will use |\pgfusepathqstroke|, |\pgfusepathqfill|, or
+ |\pgfusepathqfillstroke|.
+ \item
+ 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.
+ \item
+ 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.
+ \item
+ 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.
+ \item
+ When the arrow tip code is executed, it is automatically put
+ inside a low-level scope, so nothing will ``leak out'' from the
+ scope.
+ \item
+ The high-level coordinate transformation matrix will be set to the
+ identity matrix when the code is executed for the first time.
+ \end{itemize}
+
+ \medskip
+ \textbf{Designing meta-arrows.}
+ The \meta{arrow tip code} 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 \emph{should not}
+ grow in direct proportion to the line width. On the other hand, the
+ size of the arrow head typically \emph{should} grow ``a bit'' with
+ the line width.
+
+ For these reasons, \pgfname\ will not simply executed your arrow
+ code within a scaled scope, where the scaling depends on the line
+ width. Instead, your \meta{arrow tip code} is reexecuted again for
+ each different line width.
+
+ In our example, we could use the following code for the new arrow
+ tip kind |arc'| (note the prime):
+\begin{codeexample}[code only]
+\newdimen\arrowsize
+\pgfarrowsdeclare{arcs'}{arcs'}{...}
+{
+ \arrowsize=0.2pt
+ \advance\arrowsize by .5\pgflinewidth
+ \pgfsetdash{}{0pt} % do not dash
+ \pgfsetroundjoin % fix join
+ \pgfsetroundcap % fix cap
+ \pgfpathmoveto{\pgfpoint{-4\arrowsize}{4\arrowsize}}
+ \pgfpatharc{180}{270}{4\arrowsize}
+ \pgfpatharc{90}{180}{4\arrowsize}
+ \pgfusepathqstroke
+}
+\end{codeexample}
+\newdimen\arrowsize
+\pgfarrowsdeclare{arcs'}{arcs'}{\pgfarrowsleftextend{0pt}\pgfarrowsrightextend{0pt}}
+{
+ \arrowsize=0.2pt
+ \advance\arrowsize by .5\pgflinewidth
+ \pgfsetdash{}{0pt} % do not dash
+ \pgfsetroundjoin % fix join
+ \pgfsetroundcap % fix cap
+ \pgfpathmoveto{\pgfpoint{-4\arrowsize}{4\arrowsize}}
+ \pgfpatharc{180}{270}{4\arrowsize}
+ \pgfusepathqstroke
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpatharc{90}{180}{4\arrowsize}
+ \pgfusepathqstroke
+}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[-arcs',line width=3pt] (-2,0) -- (0,0);
+ \draw[arcs'-arcs',line width=1pt] (-2,-1.5) -- (0,-1);
+ \useasboundingbox (-2,-1.75) rectangle (0,0.5);
+\end{tikzpicture}
+\end{codeexample}
+
+ 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 |arc|. On
+ the other hand, you can also have the arrow resize linearly with the
+ line width by specifying all coordinates as multiples of
+ |\pgflinewidth|.
+
+ \textbf{The left and right extend.}
+ Let us have another look at the exact left and right ``ends'' of our
+ arrow tip. Let us draw the arrow tip |arc'| at a very large size:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (-2,-1) grid (1,1);
+ \draw[line width=10pt,-arcs'] (-2,0) -- (0,0);
+ \draw[line width=2pt,white] (-2,0) -- (0,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ As one can see, the arrow tip does not ``touch'' 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 |\arrowsize| 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
+ ``hidden'' by the line itself.
+
+ \pgfname\ uses a different approach to solving the problem: The
+ \meta{extend code} argument can be used to ``tell'' \pgfname\ how
+ much the arrow protrudes over the origin. The argument is also used
+ to tell \pgfname\ where the ``left'' end of the arrow is. However,
+ this number is important only when the arrow is being reversed or
+ composed with other arrow tips.
+
+ Once \pgfname\ knows the right extend of an arrow kind, it can
+ \emph{shorten} lines by this amount when drawing arrows.
+
+ Here is a picture that shows what the visualizes the extends. The
+ arrow tip itself is shown in red once more:
+
+ \medskip
+ \begin{tikzpicture}
+ \draw[line width=1cm,-arcs',red] (-6,0) -- (0,0);
+ \draw[line width=1cm,black] (-6,0) -- (0,0);
+ \draw[help lines] (-6,0) -- (2,0) (0,-3) -- (0,3) coordinate (a);
+ \draw[help lines,xshift=0.5cm] (0,-3) -- (0,3) coordinate (b);
+ \draw[help lines,xshift=-2.5cm-0.8pt] (0,-3) -- (0,3) coordinate (c);
+
+ \coordinate (xline 1) at (0,1.5);
+ \coordinate (xline 2) at (0,2.8);
+
+ \draw[|->|] (xline 1 -| a) -- node[above=2pt] {right extend} (xline 1 -| b);
+ \draw[|<-|] (xline 2 -| c) -- node[above=2pt] {left extend} (xline 2 -| a);
+
+ \draw (0,0) -- (1,-1) node[below right] {origin};
+ \end{tikzpicture}
+
+
+ The \meta{extend code} is normal \TeX\ code that is executed
+ whenever \pgfname\ wants to know how far the arrow tip will protrude
+ to the right and left. The code should call the following two
+ commands: \declare{|\pgfarrowsrightextend|} and
+ \declare{|\pgfarrowsleftextend|}. Both arguments take one argument
+ that specifies the size. Here is the final code for the |arc''| arrow
+ tip:
+\begin{codeexample}[]
+\pgfarrowsdeclare{arcs''}{arcs''}
+{
+ \arrowsize=0.2pt
+ \advance\arrowsize by .5\pgflinewidth
+ \pgfarrowsleftextend{-4\arrowsize-.5\pgflinewidth}
+ \pgfarrowsrightextend{.5\pgflinewidth}
+}
+{
+ \arrowsize=0.2pt
+ \advance\arrowsize by .5\pgflinewidth
+ \pgfsetdash{}{0pt} % do not dash
+ \pgfsetroundjoin % fix join
+ \pgfsetroundcap % fix cap
+ \pgfpathmoveto{\pgfpoint{-4\arrowsize}{4\arrowsize}}
+ \pgfpatharc{180}{270}{4\arrowsize}
+ \pgfusepathqstroke
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpatharc{90}{180}{4\arrowsize}
+ \pgfusepathqstroke
+}
+\begin{tikzpicture}
+ \draw[help lines] (-2,-1) grid (1,1);
+ \draw[line width=10pt,-arcs''] (-2,0) -- (0,0);
+ \draw[line width=2pt,white] (-2,0) -- (0,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\pgfarrowsdeclare{arcs''}{arcs''}
+{
+ \arrowsize=0.2pt
+ \advance\arrowsize by .5\pgflinewidth
+ \pgfarrowsleftextend{-4\arrowsize-.5\pgflinewidth}
+ \pgfarrowsrightextend{.5\pgflinewidth}
+}
+{
+ \arrowsize=0.2pt
+ \advance\arrowsize by .5\pgflinewidth
+ \pgfsetdash{}{0pt} % do not dash
+ \pgfsetroundjoin % fix join
+ \pgfsetroundcap % fix cap
+ \pgfpathmoveto{\pgfpoint{-4\arrowsize}{4\arrowsize}}
+ \pgfpatharc{180}{270}{4\arrowsize}
+ \pgfusepathqstroke
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpatharc{90}{180}{4\arrowsize}
+ \pgfusepathqstroke
+}
+
+
+\subsection{Declaring a Derived Arrow Tip Kind}
+
+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.
+
+\begin{command}{\pgfarrowsdeclarealias\marg{start name}\marg{end
+ name}\marg{old start name}\marg{old end name}}
+ This command can be used to create an alias (another name) for an
+ existing arrow kind.
+
+\begin{codeexample}[]
+\pgfarrowsdeclarealias{<}{>}{arcs''}{arcs''}%
+\begin{tikzpicture}
+ \pgfsetarrows{<->}
+ \pgfsetlinewidth{1ex}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{3.5cm}{2cm}}
+ \pgfusepath{stroke}
+ \useasboundingbox (-0.25,-0.25) rectangle (3.75,2.25);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgfarrowsdeclarereversed\marg{start name}\marg{end
+ name}\marg{old start name}\marg{old end name}}
+ This command creates a new arrow kind that is the ``reverse'' 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.
+
+\begin{codeexample}[]
+\pgfarrowsdeclarereversed{arcs reversed}{arcs reversed}{arcs''}{arcs''}%
+\begin{tikzpicture}
+ \pgfsetarrows{arcs reversed-arcs reversed}
+ \pgfsetlinewidth{1ex}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{3.5cm}{2cm}}
+ \pgfusepath{stroke}
+ \useasboundingbox (-0.25,-0.25) rectangle (3.75,2.25);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+
+\begin{command}{\pgfarrowsdeclarecombine\opt{|*|}\opt{\oarg{offset}}\marg{start
+ name}\marg{end name}\marg{first start name}\marg{first end
+ name}\penalty0\marg{second start name}\marg{second end name}}
+ This command creates a new arrow kind that combines two existing
+ arrow kinds. The first arrow kind is the ``innermost'' arrow kind,
+ the second arrow kind is the ``outermost.''
+
+ 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
+ \meta{offset} can be used to increase (or decrease) the distance
+ between the inner and outermost arrow.
+
+\begin{codeexample}[]
+\pgfarrowsdeclarecombine[\pgflinewidth]
+ {combined}{combined}{arcs''}{arcs''}{latex}{latex}%
+\begin{tikzpicture}
+ \pgfsetarrows{combined-combined}
+ \pgfsetlinewidth{1ex}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{3.5cm}{2cm}}
+ \pgfusepath{stroke}
+ \useasboundingbox (-0.25,-0.25) rectangle (3.75,2.25);
+\end{tikzpicture}
+\end{codeexample}
+
+ In the star variant, the end of the line is not in the outermost
+ arrow, but inside the innermost arrow.
+
+\begin{codeexample}[]
+\pgfarrowsdeclarecombine*[\pgflinewidth]
+ {combined'}{combined'}{arcs''}{arcs''}{latex}{latex}%
+\begin{tikzpicture}
+ \pgfsetarrows{combined'-combined'}
+ \pgfsetlinewidth{1ex}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{3.5cm}{2cm}}
+ \pgfusepath{stroke}
+ \useasboundingbox (-0.25,-0.25) rectangle (3.75,2.25);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgfarrowsdeclaredouble\opt{\oarg{offset}}\marg{start
+ name}\marg{end name}\marg{old start name}\marg{old end
+ name}}
+ This command is a shortcut for combining an arrow kind with itself.
+
+\begin{codeexample}[]
+\pgfarrowsdeclaredouble{<<}{>>}{arcs''}{arcs''}%
+\begin{tikzpicture}
+ \pgfsetarrows{<<->>}
+ \pgfsetlinewidth{1ex}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{3.5cm}{2cm}}
+ \pgfusepath{stroke}
+ \useasboundingbox (-0.25,-0.25) rectangle (3.75,2.25);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgfarrowsdeclaretriple\opt{\oarg{offset}}\marg{start
+ name}\marg{end name}\marg{old start name}\marg{old end
+ name}}
+ This command is a shortcut for combining an arrow kind with itself
+ and then again.
+
+\begin{codeexample}[]
+\pgfarrowsdeclaretriple{<<<}{>>>}{arcs''}{arcs''}%
+\begin{tikzpicture}
+ \pgfsetarrows{<<<->>>}
+ \pgfsetlinewidth{1ex}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{3.5cm}{2cm}}
+ \pgfusepath{stroke}
+ \useasboundingbox (-0.25,-0.25) rectangle (3.75,2.25);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+
+
+
+\subsection{Using an Arrow Tip Kind}
+
+The following commands install the arrow kind that will be used when
+stroking is done.
+
+\begin{command}{\pgfsetarrowsstart\marg{start arrow kind}}
+ Installs the given \meta{start arrow kind} for all subsequent
+ strokes in the in the current \TeX-group. If \meta{start arrow kind}
+ is empty, no arrow tips will be drawn at the start of the last
+ segment of paths.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \pgfsetarrowsstart{latex}
+ \pgfsetlinewidth{1ex}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{3.5cm}{2cm}}
+ \pgfusepath{stroke}
+ \useasboundingbox (-0.25,-0.25) rectangle (3.75,2.25);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsetarrowsend\marg{start arrow kind}}
+ Like |\pgfsetarrowsstart|, only for the end of the arrow.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \pgfsetarrowsend{latex}
+ \pgfsetlinewidth{1ex}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{3.5cm}{2cm}}
+ \pgfusepath{stroke}
+ \useasboundingbox (-0.25,-0.25) rectangle (3.75,2.25);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\emph{Warning:} If the compatibility mode is active (which is the
+default), there also exist old commands called |\pgfsetstartarrow| and
+|\pgfsetendarrow|, which are incompatible with the meta-arrow
+management.
+
+
+\begin{command}{\pgfsetarrows\texttt{\char`\{}\meta{start kind}|-|\meta{end kind}\texttt{\char`\}}}
+ Calls |\pgfsetarrowsstart| for \meta{start kind} and
+ |\pgfsetarrowsend| for \meta{end kind}.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \pgfsetarrows{latex-to}
+ \pgfsetlinewidth{1ex}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{3.5cm}{2cm}}
+ \pgfusepath{stroke}
+ \useasboundingbox (-0.25,-0.25) rectangle (3.75,2.25);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\subsection{Predefined Arrow Tip Kinds}
+
+\label{standard-arrows}
+
+The following arrow tip kinds are always defined:
+
+{
+\bigskip
+\catcode`\|=12
+\begin{tabular}{ll}
+ \sarrow{stealth}{stealth} \\
+ \sarrow{stealth reversed}{stealth reversed} \\
+ \sarrow{to}{to} \\
+ \sarrow{to reversed}{to reversed} \\
+ \sarrow{latex}{latex} \\
+ \sarrow{latex reversed}{latex reversed} \\
+ \index{*vbar@\protect\texttt{\protect\myvbar} arrow tip}%
+ \index{Arrow tips!*vbar@\protect\texttt{\protect\myvbar}}
+ \texttt{|-|}& yields thick
+ \begin{tikzpicture}[arrows={|-|},thick]
+ \useasboundingbox (0pt,-0.5ex) rectangle (1cm,2ex);
+ \draw (0,0) -- (1,0);
+ \end{tikzpicture} and thin
+ \begin{tikzpicture}[arrows={|-|},thin]
+ \useasboundingbox (0pt,-0.5ex) rectangle (1cm,2ex);
+ \draw (0,0) -- (1,0);
+ \end{tikzpicture}
+\end{tabular}
+}
+
+For further arrow tips, see page~\pageref{section-library-arrows}.
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
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
new file mode 100644
index 00000000000..1318c780235
--- /dev/null
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+% 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{Design Principles}
+
+This section describes the basic layer of \pgfname. 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.
+
+The basic layer does not provide a convenient syntax for describing
+graphics, which is left to frontends like \tikzname. For this reason, the
+basic layer is typically used only by ``other programs.'' For example,
+the \textsc{beamer} package uses the basic layer extensively, but does
+not need a convenient input syntax. Rather, speed and flexibility are
+needed when \textsc{beamer} creates graphics.
+
+The following basic design principles underlie the basic layer:
+\begin{enumerate}
+\item Structuring into a core and several optional packages.
+\item Consistently named \TeX\ macros for all graphics commands.
+\item Path-centered description of graphics.
+\item Coordinate transformation system.
+\end{enumerate}
+
+
+
+\subsection{Core and Optional Packages}
+
+The basic layer consists of a \emph{core package}, called |pgfcore|,
+which provides the most basic commands, and several optional package
+like |pgfbaseshade| that offer more special-purpose commands.
+
+You can include the core by saying |\usepackage{pgfcore}| or, as a
+plain \TeX\ user, |\input pgfcore.tex|.
+
+The following optional packages are provided by the basic layer:
+\begin{itemize}
+\item
+ |pgfbaseplot| provides commands for plotting functions.
+\item
+ |pgfbaseshapes| provides commands for drawing shapes and
+ nodes.
+\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
+ |\includegraphics| and not |\pgfimage|. However, in some situations
+ (like when masking is needed or when plain \TeX\ is used) this
+ package is needed.
+\item
+ |pgfbaselayers| 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.
+\item
+ |pgfbasesnakes| provides commands for adding snaked lines to the
+ path. Such lines are not straight but rather wind in some specific
+ fashion.
+\end{itemize}
+
+If you say |\usepackage{pgf}| or |\input pgf.tex|, all of the optional
+packages are loaded (as well as the core and the system layer).
+
+
+\subsection{Communicating with the Basic Layer via Macros}
+
+In order to ``communicate'' with the basic layer you use long
+sequences of commands that start with |\pgf|. You are only allowed to
+give these commands inside a |{pgfpicture}| environment. (Note that
+|{tikzpicture}| opens a |{pgfpicture}| internally, so you can freely
+mix \pgfname\ commands and \tikzname\ commands inside a
+|{tikzpicture}|.) It is possible to ``do other things'' 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.
+
+\begin{codeexample}[]
+\newdimen\myypos
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpoint{0cm}{\myypos}}
+ \pgfpathlineto{\pgfpoint{1cm}{\myypos}}
+ \advance \myypos by 1cm
+ \pgfpathlineto{\pgfpoint{1cm}{\myypos}}
+ \pgfpathclose
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+
+The following naming conventions are used in the basic layer:
+
+\begin{enumerate}
+\item
+ All commands and environments start with |pgf|.
+\item
+ All commands that specify a point (a coordinate) start with |\pgfpoint|.
+\item
+ All commands that extend the current path start with |\pgfpath|.
+\item
+ All commands that set/change a graphics parameter start with |\pgfset|.
+\item
+ All commands that use a previously declared object (like a path,
+ image or shading) start with |\pgfuse|.
+\item
+ All commands having to do with coordinate transformations start with
+ |\pgftransform|.
+\item
+ All commands having to do with arrow tips start with |\pgfarrows|.
+\item
+ All commands for ``quickly'' extending or drawing a path start with
+ |\pgfpathq| or |\pgfusepathq|.
+\end{enumerate}
+
+
+\subsection{Path-Centered Approach}
+
+In \pgfname\ the most important entity is the \emph{path}. 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.
+
+Paths are first \emph{constructed} and then \emph{used}. In order to
+construct a path, you can use commands starting with |\pgfpath|. Each
+time such a command is called, the current path is extended in some
+way.
+
+Once a path has been completely constructed, you can use it using the
+command |\pgfusepath|. 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.
+
+
+
+
+\subsection{Coordinate Versus Canvas Transformations}
+
+\label{section-design-transformations}
+
+\pgfname\ provides two transformation systems: \pgfname's own
+\emph{coordinate} transformation matrix and \pdf's or PostScript's
+\emph{canvas} transformation matrix. These two systems are quite
+different. Whereas a scaling by a factor of, say, $2$ of the canvas
+causes \emph{everything} to be scaled by this factor (including
+the thickness of lines and text), a scaling of two in the coordinate
+system causes only the \emph{coordinates} to be scaled, but not the
+line width nor text.
+
+By default, all transformations only apply to the coordinate
+transformation system. However, using the command |\pgflowlevel|
+it is possible to apply a transformation to the canvas.
+
+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 ``circles'' both
+of which have been scaled in the $x$-direction by a factor of $3$ and
+by a factor of $0.5$ in the $y$-direction. The left circle uses a
+canvas transformation, the right uses \pgfname's coordinate
+transformation (some viewers will render the left graphic incorrectly
+since they do no apply the low-level transformation the way they
+should):
+
+\begin{tikzpicture}[line width=5pt]
+ \useasboundingbox (-1.75,-1) rectangle (14,1);
+
+ \begin{scope}
+ \pgflowlevel{\pgftransformxscale{3}}
+ \pgflowlevel{\pgftransformyscale{.5}}
+
+ \draw (0,0) circle (0.5cm);
+ \draw (.55cm,0pt) node[right] {canvas};
+ \end{scope}
+ \begin{scope}[xshift=9cm,xscale=3,yscale=.5]
+ \draw (0,0) circle (0.5cm);
+ \draw (.55cm,0pt) node[right] {coordinate};
+ \end{scope}
+\end{tikzpicture}
+
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
new file mode 100644
index 00000000000..ebadb54e5ff
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@@ -0,0 +1,278 @@
+% 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{Declaring and Using Images}
+\label{section-images}
+
+
+This section describes the |pgfbaseimage| package.
+
+\begin{package}{pgfbaseimage}
+ This package offers an abstraction of the image inclusion
+ process. It is loaded automatically by |pgf|, but you can load it
+ manually if you have only included |pgfcore|.
+\end{package}
+
+\subsection{Overview}
+
+To be quite frank, \LaTeX's |\includegraphics| is designed better than
+|pgfbaseimage|. For this reason, \emph{I recommend that you use the
+ standard image inclusion mechanism of your format}. Thus, \LaTeX\
+users are encouraged to use |\includegraphics| to include images.
+
+However, there are reasons why you might need to use the image
+inclusion facilities of \pgfname:
+\begin{itemize}
+\item
+ There is no standard image inclusion mechanism in your format. For
+ example, plain \TeX\ does not have one, so \pgfname's inclusion
+ mechanism is ``better than nothing.''
+
+ However, this applies only to the |pdftex| backend. For all other
+ backends, \pgfname\ currently maps its commands back to the |graphicx|
+ package. Thus, in plain \TeX, this does not really help. It might be
+ a good idea to fix this in the future such that \pgfname\ becomes
+ independent of \LaTeX, thereby providing a uniform image abstraction
+ for all formats.
+\item
+ You wish to use masking. This is a feature that is only supported by
+ \pgfname, though I hope that someone will implement this also for
+ the graphics package in \LaTeX\ in the future.
+\end{itemize}
+
+Whatever your choice, you can still use the usual image inclusion
+facilities of the |graphics| package.
+
+The general approach taken by \pgfname\ to including an image is the
+following: First, |\pgfdeclareimage| 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
+|\pgfuseimage|. The advantage of this two-phase approach is that, at
+least for \textsc{pdf}, 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 |\pgfimage| that declares and then immediately uses the
+image.
+
+To speedup the compilation, you may wish to use the following class
+option:
+\begin{packageoption}{draft}
+ 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.
+\end{packageoption}
+
+\subsection{Declaring an Image}
+
+\begin{command}{\pgfdeclareimage\oarg{options}\marg{image
+ name}\marg{filename}}
+ Declares an image, but does not paint anything. To draw the image,
+ use |\pgfuseimage{|\meta{image name}|}|. The \meta{filename} may not
+ have an extension. For \textsc{pdf}, the extensions |.pdf|, |.jpg|,
+ and |.png| will automatically tried. For PostScript, the extensions
+ |.eps|, |.epsi|, and |.ps| will be tried.
+
+ The following options are possible:
+ \begin{itemize}
+ \item
+ \declare{|height=|\meta{dimension}} sets the height of the
+ image. If the width is not specified simultaneously, the aspect
+ ratio of the image is kept.
+ \item
+ \declare{|width=|\meta{dimension}} sets the width of the
+ image. If the height is not specified simultaneously, the aspect
+ ratio of the image is kept.
+ \item
+ \declare{|page=|\meta{page number}} selects a given page number
+ from a multipage document. Specifying this option will have the
+ following effect: first, \pgfname\ tries to find a file named
+ \begin{quote}
+ \meta{filename}|.page|\meta{page number}|.|\meta{extension}
+ \end{quote}
+ If such a file is found, it will be used instead of the originally
+ specified filename. If not, \pgfname\ inserts the image stored in
+ \meta{filename}|.|\meta{extension} and if a recent version of
+ |pdflatex| is used, only the selected page is inserted. For older
+ versions of |pdflatex| and for |dvips| the complete document is
+ inserted and a warning is printed.
+ \item
+ \declare{|interpolate=|\meta{true or false}} selects whether the
+ image should ``smoothed'' when zoomed. False by default.
+ \item
+ \declare{|mask=|\meta{mask name}} selects a transparency mask. The
+ mask must previously be declared using |\pgfdeclaremask| (see
+ below). This option only has an effect for |pdf|. Not all viewers
+ support masking.
+ \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}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgfaliasimage\marg{new image name}\marg{existing image name}}
+ The \marg{existing image name} is ``cloned'' and the \marg{new image
+ name} 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 |\pgfimage|.
+
+ \example |\pgfaliasimage{image.!30!white}{image.!25!white}|
+\end{command}
+
+
+\subsection{Using an Image}
+
+\begin{command}{\pgfuseimage\marg{image name}}
+ Inserts a previously declared image into the \emph{normal text}. If
+ you wish to use it in a |{pgfpicture}| environment, you must put a
+ |\pgftext| around it.
+
+ If the macro |\pgfalternateextension| expands to some nonempty
+ \meta{alternate extension}, \pgfname\ will first try to use the image
+ names \meta{image name}|.|\meta{alternate extension}. If this
+ image is not defined, \pgfname\ will next check whether \meta{alternate
+ extension} contains a |!| character. If so, everything up to this
+ exclamation mark and including it is deleted from \meta{alternate
+ extension} and the \pgfname\ again tries to use the image \meta{image
+ name}|.|\meta{alternate extension}. This is repeated until
+ \meta{alternate extension} no longer contains a~|!|. Then the
+ original image is used.
+
+ The |xxcolor| package sets the alternate extension to the current
+ 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}
+\begin{pgfpicture}
+ \pgftext[at=\pgfpoint{1cm}{5cm},left,base]{\pgfuseimage{image1}}
+ \pgftext[at=\pgfpoint{1cm}{3cm},left,base]{\pgfuseimage{image2}}
+ \pgftext[at=\pgfpoint{1cm}{1cm},left,base]{\pgfuseimage{image3}}
+
+ \pgfpathrectangle{\pgfpoint{1cm}{5cm}}{\pgfpoint{1cm}{1cm}}
+ \pgfpathrectangle{\pgfpoint{1cm}{3cm}}{\pgfpoint{1cm}{1cm}}
+ \pgfpathrectangle{\pgfpoint{1cm}{1cm}}{\pgfpoint{1cm}{1cm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+
+ The following example demonstrates the effect of using
+ |\pgfuseimage| inside a color mixin environment.
+
+\begin{codeexample}[]
+\pgfdeclareimage[interpolate=true,width=1cm,height=1cm]
+ {image1.!25!white}{pgf-tu-logo.25}
+\pgfdeclareimage[interpolate=true,width=1cm]
+ {image2.25!white}{pgf-tu-logo.25}
+\pgfdeclareimage[interpolate=true,height=1cm]
+ {image3.white}{pgf-tu-logo.25}
+\begin{colormixin}{25!white}
+\begin{pgfpicture}
+ \pgftext[at=\pgfpoint{1cm}{5cm},left,base]{\pgfuseimage{image1}}
+ \pgftext[at=\pgfpoint{1cm}{3cm},left,base]{\pgfuseimage{image2}}
+ \pgftext[at=\pgfpoint{1cm}{1cm},left,base]{\pgfuseimage{image3}}
+
+ \pgfpathrectangle{\pgfpoint{1cm}{5cm}}{\pgfpoint{1cm}{1cm}}
+ \pgfpathrectangle{\pgfpoint{1cm}{3cm}}{\pgfpoint{1cm}{1cm}}
+ \pgfpathrectangle{\pgfpoint{1cm}{1cm}}{\pgfpoint{1cm}{1cm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{colormixin}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfalternateextension}
+ You should redefine this command to install a different alternate
+ extension.
+
+ \example |\def\pgfalternateextension{!25!white}|
+\end{command}
+
+
+\begin{command}{\pgfimage\oarg{options}\marg{filename}}
+ Declares the image under the name |pgflastimage| and
+ immediately uses it. You can ``save'' the image for later usage by
+ invoking |\pgfaliasimage| on |pgflastimage|.
+
+\begin{codeexample}[]
+\begin{colormixin}{25!white}
+\begin{pgfpicture}
+ \pgftext[at=\pgfpoint{1cm}{5cm},left,base]
+ {\pgfimage[interpolate=true,width=1cm,height=1cm]{pgf-tu-logo}}
+ \pgftext[at=\pgfpoint{1cm}{3cm},left,base]
+ {\pgfimage[interpolate=true,width=1cm]{pgf-tu-logo}}
+ \pgftext[at=\pgfpoint{1cm}{1cm},left,base]
+ {\pgfimage[interpolate=true,height=1cm]{pgf-tu-logo}}
+
+ \pgfpathrectangle{\pgfpoint{1cm}{5cm}}{\pgfpoint{1cm}{1cm}}
+ \pgfpathrectangle{\pgfpoint{1cm}{3cm}}{\pgfpoint{1cm}{1cm}}
+ \pgfpathrectangle{\pgfpoint{1cm}{1cm}}{\pgfpoint{1cm}{1cm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{colormixin}
+\end{codeexample}
+\end{command}
+
+
+
+\subsection{Masking an Image}
+
+
+\begin{command}{\pgfdeclaremask\oarg{options}\marg{mask name}\marg{filename}}
+ Declares a transparency mask named \meta{mask name} (called a
+ \emph{soft mask} in the \textsc{pdf} specification). This mask is
+ read from the file \meta{filename}. This file should contain a
+ grayscale image that is as large as the actual image. A white
+ pixel in the mask will correspond to ``transparent,'' a black pixel
+ to ``solid,'' and gray values correspond to intermediate values. The
+ mask must have a single ``color channel.'' This means that the
+ mask must be a ``real'' grayscale image, not an \textsc{rgb}-image
+ in which all \textsc{rgb}-triples happen to have the same
+ components.
+
+ You can only mask images the are in a ``pixel format.'' These are
+ |.jpg| and |.png|. You cannot mask |.pdf| images in this way. Also,
+ again, the mask file and the image file must have the same size.
+
+ The following options may be given:
+ \begin{itemize}
+ \item |matte=|\marg{color components} sets the so-called
+ \emph{matte} 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 \meta{color components} should be set to |{1 0 0}|. The
+ default is |{1 1 1}|, which is white in the rgb model.
+
+ The matte is specified in terms of the parent's image color
+ space. Thus, if the parent is a grayscale image, the matte has to
+ be set to |{1}|.
+ \end{itemize}
+ \example
+\begin{codeexample}[]
+%% Draw a large colorful background
+\pgfdeclarehorizontalshading{colorful}{5cm}{color(0cm)=(red);
+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}}
+\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-layers.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-layers.tex
new file mode 100644
index 00000000000..db8136e87de
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-layers.tex
@@ -0,0 +1,142 @@
+% 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{Layered Graphics}
+
+\label{section-layers}
+
+\begin{package}{pgfbaselayers}
+ This package provides a commands and environments for composing a
+ picture from multiple layers. The package is loaded automatically by
+ |pgf|, but you can load it manually if you have only included
+ |pgfcore|.
+\end{package}
+
+
+
+\subsection{Overview}
+
+\pgfname\ provides a layering mechanism for composing graphics from
+multiple layers. (This mechanism is not be confused with the
+conceptual ``software layers'' the \pgfname\ 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 ``background'' layer, then something on the
+``foreground'' layer, then something on the ``middle'' 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 ``stacked on top of each other'' 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.
+
+Normally, you do not need to use different layers since you will have
+little trouble ``ordering'' your graphic commands in such a way that
+layers are superfluous. However, in certain situations you only
+``know'' what you should draw behind something else after the
+``something else'' has been drawn.
+
+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
+``background'' layer in addition to the standard ``main'' 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.
+
+
+
+\subsection{Declaring Layers}
+
+In \pgfname\ layers are referenced using names. The standard layer,
+which is a bit special in certain ways, is called |main|. If nothing
+else is specified, all graphic commands are added to the |main|
+layer. You can declare a new layer using the following command:
+
+\begin{command}{\pgfdeclarelayer\marg{name}}
+ This command declares a layer named \meta{name} for later
+ use. Mainly, this will setup some internal bookkeeping.
+\end{command}
+
+The next step toward using a layer is to tell \pgfname\ 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.
+
+\begin{command}{\pgfsetlayers\marg{layer list}}
+ This command, which should be used \emph{outside} a |{pgfpicture}|
+ environment, tells \pgfname\ which layers will be used in
+ pictures. They are stacked on top of each other in the order
+ given. The layer |main| should always be part of the list. Here is
+ an example:
+\begin{codeexample}[code only]
+\pgfdeclarelayer{background}
+\pgfdeclarelayer{foreground}
+\pgfsetlayers{background,main,foreground}
+\end{codeexample}
+\end{command}
+
+
+\subsection{Using Layers}
+
+Once the layers of your picture have been declared, you can start to
+``fill'' them. As said before, all graphics commands are normally
+added to the |main| layer. Using the |{pgfonlayer}| environment, you
+can tell \pgfname\ that certain commands should, instead, be added to
+the given layer.
+
+\begin{environment}{{pgfonlayer}\marg{layer name}}
+ The whole \meta{environment contents} is added to the layer with the
+ name \meta{layer name}. This environment can be used anywhere inside
+ a picture. Thus, even if it is used inside a |{pgfscope}| or a \TeX\
+ group, the contents will still be added to the ``whole'' picture.
+ Using this environment multiple times inside the same picture will
+ cause the \meta{environment contents} to accumulate.
+
+ \emph{Note:} You can \emph{not} add anything to the |main| layer
+ using this environment. The only way to add anything to the main
+ layer is to give graphic commands outside all |{pgfonlayer}|
+ environments.
+
+\begin{codeexample}[]
+\pgfdeclarelayer{background layer}
+\pgfdeclarelayer{foreground layer}
+\pgfsetlayers{background layer,main,foreground layer}
+\begin{tikzpicture}
+ % On main layer:
+ \fill[blue] (0,0) circle (1cm);
+
+ \begin{pgfonlayer}{background layer}
+ \fill[yellow] (-1,-1) rectangle (1,1);
+ \end{pgfonlayer}
+
+ \begin{pgfonlayer}{foreground layer}
+ \node[white] {foreground};
+ \end{pgfonlayer}
+
+ \begin{pgfonlayer}{background layer}
+ \fill[black] (-.8,-.8) rectangle (.8,.8);
+ \end{pgfonlayer}
+
+ % On main layer again:
+ \fill[blue!50] (-.5,-1) rectangle (.5,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{environment}
+
+\begin{plainenvironment}{{pgfonlayer}\marg{layer name}}
+ This is the plain \TeX\ version of the environment.
+\end{plainenvironment}
+
+
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
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
new file mode 100644
index 00000000000..c2231219113
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-nodes.tex
@@ -0,0 +1,987 @@
+% 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{Nodes and Shapes}
+
+\label{section-shapes}
+
+This section describes the |pgfbaseshapes| package.
+
+\begin{package}{pgfbaseshapes}
+ This package defines commands both for creating nodes and for
+ creating shapes. The package is loaded automatically by |pgf|, but
+ you can load it manually if you have only included |pgfcore|.
+\end{package}
+
+
+\subsection{Overview}
+
+\pgfname\ comes with a sophisticated set of commands for creating
+\emph{nodes} and \emph{shapes}. A \emph{node} 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
+\emph{shape}, which may be something simple like a |rectangle| or a
+|circle|, but it may also be something complicated like a
+|uml class diagram| (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.
+
+
+\subsubsection{Creating and Referencing Nodes}
+
+You create a node by calling the macro |\pgfnode| or the more general
+|\pgfmultipartnode|. These macro takes several parameters and draws
+the requested shape at a certain position. In addition, it will
+``remember'' the node's position within the current
+|{pgfpicture}|. You can then, later on, refer to the
+node's position. Coordinate transformations are ``fully supported,''
+which means that if you used coordinate transformations to shift or
+rotate the shape of a node, the node's position will still be correctly
+determined by \pgfname. This is \emph{not} the case if you use canvas
+transformations, instead.
+
+
+\subsubsection{Anchors}
+
+An important property of a node or a shape in general are its
+\emph{anchors}. Anchors are ``important'' positions in a shape. For
+example, the |center| anchor lies at the center of a shape, the
+|north| anchor is usually ``at the top, in the middle'' of a shape,
+the |text| anchor is the lower left corner of the shape's text label
+(if present), and so on.
+
+Anchors are important both when you create a node and when you
+reference it. When you create a node, you specify the node's
+``position'' by asking \pgfname\ 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 |north| anchor is at the
+origin. This will effectively cause the node to be placed below the
+origin.
+
+When you reference a node, you always reference an anchor of the
+node. For example, when you request the ``|north| anchor of the node
+just placed'' you will get the origin. However, you can also request
+the ``|south| anchor of this node,'' 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.
+
+\subsubsection{Layers of a Shape}
+
+The simplest shape, the |coordinate|, has just one anchor, namely the
+|center|, and a label (which is usually empty). More complicated
+shapes like the |rectangle| shape also have a \emph{background
+ path}. This is a \pgfname-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.
+
+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:
+
+\begin{enumerate}
+\item
+ The ``behind the background layer.'' 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 ``behind everything.''
+\item
+ The background path layer. How this path is used depends on how the
+ arguments of the |\pgfnode| command.
+\item
+ The ``before the background path layer.'' 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).
+\item
+ The label layer. This layer inserts the node's text box(es).
+\item
+ The ``behind the foreground layer.'' This layer, like the
+ first layer, once more contains graphic commands that are ``simply
+ executed.''
+\item
+ 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.
+\item
+ The ``before the foreground layer.''
+\end{enumerate}
+
+Which of these layers are actually used depends on the shape.
+
+
+
+\subsubsection{Node Parts}
+
+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.
+
+Most shapes will have only one text label. In this case, this text
+label is simply passed as a parameter to the |\pgfnode| command. When
+the node is drawn, the text label is shifted around such that its
+lower left corner is at the |text| anchor of the node.
+
+More complicated shapes may have more than one text label. Nodes of
+such shapes are called \emph{multipart nodes}. The different
+\emph{node parts} are simply the different text labels. For example, a
+|uml class| shape might have a |class name| part, a |method| part and
+an |attributes| part. Indeed, single part nodes are a special case of
+multipart nodes: They only have one part named |text|.
+
+When a shape is declared, you must specify the node parts. There is a
+simple command called |\nodeparts| 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 \TeX-box containing the text of the
+part. For a part named |XYZ| you must setup the box
+|\pgfnodepartXYZbox|. The box will be placed at the anchor |XYZ|. See
+the description of |\pgfmultipartnode| for more details.
+
+
+\subsection{Creating Nodes}
+
+You create a node using on of the following commands:
+
+\begin{command}{\pgfnode\marg{shape}\marg{anchor}\marg{label
+ text}\marg{name}\marg{path usage command}}
+ This command creates a new node. The \meta{shape} of the node must
+ have been declared previously using |\pgfdeclareshape|.
+
+ The shape is shifted such that the \meta{anchor} is at the
+ origin. In order to place the shape somewhere else, use the
+ coordinate transformation prior to calling this command.
+
+ The \meta{name} is a name for later reference. If no name is given,
+ nothing will be ``saved'' for the node, it will just be drawn.
+
+ The \meta{path usage command} is executed for the background and the
+ foreground path (if the shape defines them).
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (4,3);
+ {
+ \pgftransformshift{\pgfpoint{1cm}{1cm}}
+ \pgfnode{rectangle}{north}{Hello World}{hellonode}{\pgfusepath{stroke}}
+ }
+ {
+ \color{red!20}
+ \pgftransformrotate{10}
+ \pgftransformshift{\pgfpoint{3cm}{1cm}}
+ \pgfnode{rectangle}{center}
+ {\color{black}Hello World}{hellonode}{\pgfusepath{fill}}
+ }
+\end{tikzpicture}
+\end{codeexample}
+
+ 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
+ |\pgftransformresetnontranslations| prior to calling the |\pgfnode|
+ command.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (4,3);
+ {
+ \color{red!20}
+ \pgftransformrotate{10}
+ \pgftransformshift{\pgfpoint{3cm}{1cm}}
+ \pgftransformresetnontranslations
+ \pgfnode{rectangle}{center}
+ {\color{black}Hello World}{hellonode}{\pgfusepath{fill}}
+ }
+\end{tikzpicture}
+\end{codeexample}
+
+ The \meta{label text} is typeset inside the \TeX-box
+ |\pgfnodeparttextbox|. This box is shown at the |text| anchor of the
+ node, if the node has a |text| part. See the description of
+ |\pgfmultipartnode| for details.
+\end{command}
+
+\begin{command}{\pgfmultipartnode\marg{shape}\marg{anchor}\marg{name}\marg{path
+ usage command}}
+ This command is the more general (and less user-friendly) version of
+ the |\pgfnode| command. While the |\pgfnode| 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.
+
+ 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
+ |\pgfmultipartnode|, you must have setup the boxes
+ |\pgfnodeparttextbox| and |\pgfnodepartoutputbox|. 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|.
+
+\begin{codeexample}[]
+\setbox\pgfnodeparttextbox=\hbox{$q_1$}
+\setbox\pgfnodepartoutputbox=\hbox{01}
+\begin{pgfpicture}
+ \pgfmultipartnode{state with output}{center}{my state}{\pgfusepath{stroke}}
+\end{pgfpicture}
+\end{codeexample}
+
+ \emph{Note:\/} Be careful when using the |\setbox| command inside a
+ |{pgfpicture}| command. You will have to use |\pgfinterruptpath| at
+ the beginning of the box and |\endpgfinterruptpath| 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.
+
+ \emph{Note:\/} It is not necessary to use |\newbox| 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
+ |state with output| shape that has an |output| 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
+\end{codeexample}
+ Also, when you have a node part name with spaces like |class name|,
+ it may be useful to create an alias:
+\begin{codeexample}[code only]
+\newbox\mybox
+\expandafter\let\csname pgfnodepartclass namebox\endcsname=\mybox
+\end{codeexample}
+\end{command}
+
+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:
+
+\begin{command}{\pgfsetshapeminwidth\marg{dimension}}
+ This command sets the macro \declare{|\pgfshapeminwidth|} to
+ \meta{dimension}. This dimension is the \emph{recommended} minimum
+ width of a shape. Thus, when a shape is drawn and when the shape's
+ width would be smaller than \meta{dimension}, the shape's width is
+ enlarged by adding some empty space.
+
+ Note that this value is just a recommendation. A shape may choose to
+ ignore the value of |\pgfshapeminwidth|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (-2,0) grid (2,1);
+
+ \pgfsetshapeminwidth{3cm}
+ \pgfnode{rectangle}{center}{Hello World}{}{\pgfusepath{stroke}}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsetshapeminheight\marg{dimension}}
+ Works like |\pgfsetshapeminwidth|.
+\end{command}
+
+
+\begin{command}{\pgfsetshapeinnerxsep\marg{dimension}}
+ This command sets the macro \declare{|\pgfshapeinnerxsep|} to
+ \meta{dimension}. This dimension is the \emph{recommended} 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 |\pgfshapeinnerxsep|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (-2,0) grid (2,1);
+
+ \pgfsetshapeinnerxsep{1cm}
+ \pgfnode{rectangle}{center}{Hello World}{}{\pgfusepath{stroke}}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsetshapeinnerysep\marg{dimension}}
+ Works like |\pgfsetshapeinnerysep|.
+\end{command}
+
+
+
+\begin{command}{\pgfsetshapeouterxsep\marg{dimension}}
+ This command sets the macro \declare{|\pgfshapeouterxsep|} to
+ \meta{dimension}. This dimension is the recommended horizontal
+ outer separation between the background path and the ``outer
+ anchors.'' For example, if \meta{dimension} is |1cm| then the
+ |east| anchor will be 1cm to the right of the right border of the
+ background path.
+
+ As before, this value is just a recommendation.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (-2,0) grid (2,1);
+
+ \pgfsetshapeouterxsep{.5cm}
+ \pgfnode{rectangle}{center}{Hello World}{x}{\pgfusepath{stroke}}
+
+ \pgfpathcircle{\pgfpointanchor{x}{north}}{2pt}
+ \pgfpathcircle{\pgfpointanchor{x}{south}}{2pt}
+ \pgfpathcircle{\pgfpointanchor{x}{east}}{2pt}
+ \pgfpathcircle{\pgfpointanchor{x}{west}}{2pt}
+ \pgfpathcircle{\pgfpointanchor{x}{north east}}{2pt}
+ \pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsetshapeouterysep\marg{dimension}}
+ Works like |\pgfsetshapeouterysep|.
+\end{command}
+
+
+\subsection{Using Anchors}
+
+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).
+
+One has to look up the set of anchors of each shape, there is no
+``default'' set of anchors, except for the |center| anchor, which
+should always be present. Also, most shapes will declare anchors like
+|north| or |east|, but this is not guaranteed.
+
+Once a node has been defined, you can refer to its anchors using the
+following commands:
+
+\begin{command}{\pgfpointanchor\marg{node}\marg{anchor}}
+ This command is another ``point command'' like the commands
+ described in Section~\ref{section-points}. It returns the coordinate
+ of the given \meta{anchor} in the given \meta{node}. The command can
+ be used in commands like |\pgfpathmoveto|.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgftransformrotate{30}
+ \pgfnode{rectangle}{center}{Hello World!}{x}{\pgfusepath{stroke}}
+
+ \pgfpathcircle{\pgfpointanchor{x}{north}}{2pt}
+ \pgfpathcircle{\pgfpointanchor{x}{south}}{2pt}
+ \pgfpathcircle{\pgfpointanchor{x}{east}}{2pt}
+ \pgfpathcircle{\pgfpointanchor{x}{west}}{2pt}
+ \pgfpathcircle{\pgfpointanchor{x}{north east}}{2pt}
+ \pgfusepath{fill}
+\end{pgfpicture}
+\end{codeexample}
+
+ 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.
+
+ However, |\pgfpointanchor| returns a point that takes the current
+ transformation matrix into account: \emph{The inverse transformation
+ to the current coordinate transformation is applied to an anchor
+ point before returning it.}
+
+ 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 ``shift it away'' a little bit),
+ you have to invoke |\pgfpointanchor| without any transformations in
+ force. Here is an example:
+
+\makeatletter
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgftransformrotate{30}
+ \pgfnode{rectangle}{center}{Hello World!}{x}{\pgfusepath{stroke}}
+
+ {
+ \pgftransformreset
+ \pgfpointanchor{x}{east}
+ \xdef\mycoordinate{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}
+ }
+
+ \pgfpathcircle{\mycoordinate}{2pt}
+ \pgfusepath{fill}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfpointshapeborder\marg{node}\marg{point}}
+ This command returns the point on the border of the shape that lies
+ on a straight line from the center of the node to \meta{point}. For
+ complex shapes it is not guaranteed that this point will actually
+ lie on the border, it may be on the border of a ``simplified''
+ version of the shape.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \begin{pgfscope}
+ \pgftransformrotate{30}
+ \pgfnode{rectangle}{center}{Hello World!}{x}{\pgfusepath{stroke}}
+ \end{pgfscope}
+ \pgfpathcircle{\pgfpointshapeborder{x}{\pgfpoint{2cm}{1cm}}}{2pt}
+ \pgfpathcircle{\pgfpoint{2cm}{1cm}}{2pt}
+ \pgfpathcircle{\pgfpointshapeborder{x}{\pgfpoint{-1cm}{1cm}}}{2pt}
+ \pgfpathcircle{\pgfpoint{-1cm}{1cm}}{2pt}
+ \pgfusepath{fill}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+
+
+\subsection{Declaring New Shapes}
+
+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 ``fast.'' \pgfname\ must be able to handle
+pictures with several hundreds of nodes and documents with thousands
+of nodes in total. It would not do if \pgfname\ had to compute and
+store, say, dozens of anchor positions for every node.
+
+
+\subsubsection{What Must Be Defined For a Shape?}
+
+In order to define a new shape, you must provide:
+\begin{itemize}
+\item
+ a \emph{shape name},
+\item
+ code for computing the \emph{saved anchors} and \emph{saved
+ dimensions},
+\item
+ code for computing \emph{anchor} positions in terms of the saved anchors,
+\item
+ optionally code for the \emph{background path} and \emph{foreground path},
+\item
+ optionally code for \emph{things to be drawn before or behind} the
+ background and foreground paths.
+\item
+ optionally a list of node parts.
+\end{itemize}
+
+
+\subsubsection{Normal Anchors Versus Saved Anchors}
+
+Anchors are special places in shape. For example, the |north east|
+anchor, which is a normal anchor, lies at the upper right corner of
+the |rectangle| shape, as does |\northeast|, which is a saved
+anchor. The difference is the following: \emph{saved anchors are
+ computed and stored for each node, anchors are only computed as
+ needed.} The user only has access to the normal anchors, but a
+normal anchor can just ``copy'' or ``pass through'' the location of a
+saved anchor.
+
+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.
+
+To solve this problem, \pgfname\ will always compute the locations of
+all \emph{saved anchors} 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.
+
+As an example, consider the |rectangle| shape. For this shape two
+anchors are saved: The |\northeast| corner and the |\southwest|
+corner. A normal anchor like |north west| can now easily be expressed
+in terms of these coordinates: Take the $x$-position of the
+|\southwest| point and the $y$-position of the |\northeast| point.
+The |rectangle| shape currently defines 13 normal anchors, but needs
+only two saved anchors. Adding new anchors like a |south south east|
+anchor would not increase the memory and computation requirements of
+pictures.
+
+All anchors (both saved and normal) are specified in a local
+\emph{shape coordinate space}. This is also true for the background
+and foreground paths. The |\pgfnode| macro will automatically apply
+appropriate transformations to the coordinates so that the shape is
+shifted to the right anchor or otherwise transformed.
+
+
+\subsubsection{Command for Declaring New Shapes}
+
+The following command declares a new shape:
+\begin{command}{\pgfdeclareshape\marg{shape name}\marg{shape
+ specification}}
+ This command declares a new shape named \meta{shape name}. The shape
+ name can later be used in commands like |\pgfnode|.
+
+ The \meta{shape specification} is some \TeX\ code containing calls
+ to special commands that are only defined inside the \meta{shape
+ specification} (similarly to commands like |\draw| that are only
+ available inside the |{tikzpicture}| environment).
+
+ \example Here is the code of the |coordinate| shape:
+\begin{codeexample}[code only]
+\pgfdeclareshape{coordinate}
+{
+ \savedanchor\centerpoint{%
+ \pgf@x=.5\wd\pgfnodeparttextbox%
+ \pgf@y=.5\ht\pgfnodeparttextbox%
+ \advance\pgf@y by -.5\dp\pgfnodeparttextbox%
+ }
+ \anchor{center}{\centerpoint}
+ \anchorborder{\centerpoint}
+}
+\end{codeexample}
+
+ The special commands are explained next. In the examples given for
+ the special commands a new shape will be constructed, which we might
+ call |simple rectangle|. 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.
+\begin{codeexample}[code only]
+\pgfdeclareshape{simple rectangle}{
+ ...
+}
+\end{codeexample}
+
+ \begin{command}{\nodeparts\marg{list of node parts}}
+ This command declares which parts make up nodes of this shape. A
+ \emph{node part} is a (possibly empty) text label that is drawn
+ when a node of the shape is created.
+
+ 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}|.
+
+ 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
+ part there you must have declared one anchor and the \TeX-box of
+ the part is placed at this anchor. For a node part called |XYZ|
+ the \TeX-box |\pgfnodepartXYZbox| is placed at anchor |XYZ|.
+ \end{command}
+
+ \begin{command}{\savedanchor\marg{command}\marg{code}}
+ This command declares a saved anchor. The argument \meta{command}
+ should be a \TeX\ macro name like |\centerpoint|.
+
+ The \meta{code} will be executed each time |\pgfnode| (or
+ |\pgfmultipartnode|) is called to create a node of the shape
+ \meta{shape name}. When the \meta{code}
+ is executed, the \TeX-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 |text| part, the node
+ |\pgfnodeparttextbox| will be setup when the \meta{code} is
+ executed.
+
+ The \meta{code} can use the width, height, and depth of the
+ box(es) to compute the location of the saved anchor. In addition,
+ the \meta{code} can take into account the values of dimensions like
+ |\pgfshapeminwidth| or |\pgfshapeinnerxsep|. Furthermore, the
+ \meta{code} can take into consideration the values of any further
+ shape-specific variables that are set at the moment when
+ |\pgfnode| is called.
+
+ The net effect of the \meta{code} should be to set the two \TeX\
+ dimensions |\pgf@x| and |\pgf@y|. One way to achieve this is to
+ say |\pgfpoint{|\meta{x value}|}{|\meta{y value}|}| at the end of
+ the \meta{code}, but you can also just set these variables.
+ The values that |\pgf@x| and |\pgf@y| have after the code has been
+ executed, let us call them $x$ and $y$, will be recorded and
+ stored together with the node that is created by the command
+ |\pgfnode|.
+
+ The macro \meta{command} is defined to be
+ |\pgfpoint{|$x$|}{|$y$|}|. However, the \meta{command} is only
+ locally defined while anchor positions are being computed. Thus,
+ it is possible to use very simple names for \meta{command}, like
+ |\center| or |\a|, without causing a name-clash. (To be precise,
+ very simple \meta{command} names will clash with existing names,
+ but only locally inside the computation of anchor positions; and
+ we do not need the normal |\center| command during these
+ computations.)
+
+ For our |simple rectangle| shape, we will need only one saved
+ anchor: The upper right corner. The lower left corner could either
+ be the origin or the ``mirrored'' 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 |text| anchor). We get
+ the following code for the upper right corner:
+\begin{codeexample}[code only]
+\savedanchor{\upperrightcorner}{
+ \pgf@y=.5\ht\pgfnodeparttextbox % height of the box, ignoring the depth
+ \pgf@x=.5\wd\pgfnodeparttextbox % width of the box
+}
+\end{codeexample}
+
+ If we wanted to take, say, the |\pgfshapeminwidth| into account,
+ we could use the following code:
+
+\begin{codeexample}[code only]
+\savedanchor{\upperrightcorner}{
+ \pgf@y=.\ht\pgfnodeparttextbox % height of the box
+ \pgf@x=.\wd\pgfnodeparttextbox % width of the box
+ \setlength{\pgf@xa}{\pgfshapeminwidth}
+ \ifdim\pgf@x<.5\pgf@xa
+ \pgf@x=.5\pgf@xa
+ \fi
+}
+\end{codeexample}
+ Note that we could not have written |.5\pgfshapeminwidth| since
+ the minium width is stored in a ``plain text macro,'' not as a
+ real dimension. So if |\pgfshapeminwidth| depth were
+ 2cm, writing |.5\pgfshapeminwidth| would yield the same as |.52cm|.
+
+ In the ``real'' |rectangle| shape the code is somewhat more
+ complex, but you get the basic idea.
+ \end{command}
+ \begin{command}{\saveddimen\marg{command}\marg{code}}
+ This command is similar to |\savedanchor|, only instead of setting
+ \meta{command} to |\pgfpoint{|$x$|}{|$y$|}|, the \meta{command} is
+ set just to (the value of) $x$.
+
+ In the |simple rectangle| shape we might use a saved dimension to
+ store the depth of the shape box.
+
+\begin{codeexample}[code only]
+\shapedimen{\depth}{
+ \pgf@x=\dp\pgfnodeparttextbox
+}
+\end{codeexample}
+ \end{command}
+ \begin{command}{\anchor\marg{name}\marg{code}}
+ This command declares an anchor named \meta{name}. Unlike for saved
+ anchors, the \meta{code} will not be executed each time a node is
+ declared. Rather, the \meta{code} 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.
+
+ The \meta{name} is a quite arbitrary string that is not ``passed
+ down'' to the system level. Thus, names like |south| or |1| or
+ |::| would all be fine.
+
+ 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.
+
+ When the \meta{code} is executed, all saved anchor macros will be
+ defined. Thus, you can reference them in your \meta{code}. The
+ effect of the \meta{code} should be to set the values of |\pgf@x|
+ and |\pgf@y| to the coordinates of the anchor.
+
+ Let us consider some example for the |simple rectangle|
+ shape. First, we would like to make the upper right corner
+ publicly available, for example as |north east|:
+
+\begin{codeexample}[code only]
+\anchor{north east}{\upperrightcorner}
+\end{codeexample}
+
+ The |\upperrightcorner| macro will set |\pgf@x| and |\pgf@y| to
+ the coordinates of the upper right corner. Thus, |\pgf@x| and
+ |\pgf@y| will have exactly the right values at the end of the
+ anchor's code.
+
+ Next, let us define a |north west| anchor. For this anchor, we can
+ negate the |\pgf@x| variable:
+
+\begin{codeexample}[code only]
+\anchor{north west}{
+ \upperrightcorner
+ \pgf@x=-\pgf@x
+}
+\end{codeexample}
+
+ Finally, it is a good idea to always define a |center| anchor,
+ which will be the default location for a shape.
+
+\begin{codeexample}[code only]
+\anchor{center}{\pgfpointorigin}
+\end{codeexample}
+
+ 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's ``private'' coordinate system. The ``outer''
+ transformation that has been applied to the shape upon its
+ creation is applied automatically to the coordinates returned by
+ the anchor's \meta{code}.
+
+ Out |simple rectangle| only has one text label (node
+ part) called |text|. This is the default situation, so we need not
+ do anything. For the |text| node part we must setup a |text|
+ 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 |text| anchor is
+ at the origin, but you may change this. For example, we would say
+\begin{codeexample}[code only]
+\anchor{text}{%
+ \upperrightcorner%
+ \pgf@x=-\pgf@x%
+ \pgf@y=-\pgf@y%
+}
+\end{codeexample}
+ to center the text label on the origin in the shape coordinate
+ space. Note that we could \emph{not} have written the following:
+
+\begin{codeexample}[code only]
+\anchor{text}{\pgfpoint{-.5\wd\pgfnodeparttextbox}{-.5\ht\pgfnodeparttextbox}}
+\end{codeexample}
+ Do you see why this is wrong? The problem is that the box
+ |\pgfnodeparttextbox| 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.
+
+ If a shape has several node parts, we would have to define an
+ anchor for each part.
+ \end{command}
+ \begin{command}{\anchorborder\marg{code}}
+ A \emph{border anchor} is an anchor point on the border of the
+ shape. What exactly is considered as the ``border'' of the shape
+ depends on the shape.
+
+ When the user request a point on the border of the shape using the
+ |\pgfpointshapeborder| command, the \meta{code} will be executed
+ to discern this point. When the execution of the \meta{code}
+ starts, the dimensions |\pgf@x| and |\pgf@y| will have been set to
+ a location $p$ in the shape's coordinate system. It is now the job of
+ the \meta{code} to setup |\pgf@x| and |\pgf@y| such that they
+ specify the point on the shape's border that lies on a straight
+ line from the shape's center to the point $p$. Usually, this is a
+ somewhat complicated computation, involving many case distinctions
+ and some basic math.
+
+ For our |simple rectangle| 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 |\upperrightcorner|. The
+ following code might be used:
+\begin{codeexample}[code only]
+\anchorborder{%
+ % Call a function that computes a border point. Since this
+ % function will modify dimensions like \pgf@x, we must move them to
+ % other dimensions.
+ \@tempdima=\pgf@x
+ \@tempdimb=\pgf@y
+ \pgfpointborderrectangle{\pgfpoint{\@tempdima}{\@tempdimb}}{\upperrightcorner}
+}
+\end{codeexample}
+ \end{command}
+ \begin{command}{\backgroundpath\marg{code}}
+ This command specifies the path that ``makes up'' 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
+ ``always'' happen when this shape is drawn (for example, if the
+ shape is a stop-sign, we \emph{always} want it to be filled with a
+ red color), you can use commands like |\beforebackgroundpath|,
+ explained below.
+
+ When the \meta{code} is executed, all saved anchors will be in
+ effect. The \meta{code} should contain path construction
+ commands.
+
+ For our |simple rectangle|, the following code might be used:
+\begin{codeexample}[code only]
+\backgroundpath{
+ \pgfpathrectanglecorners
+ {\upperrightcorner}
+ {\pgfpointscale{-1}{\upperrightcorner}}
+}
+\end{codeexample}
+ As the name suggests, the background path is used ``behind'' the
+ text labels. Thus, this path is used first, then the text labels are
+ drawn, possibly obscuring part of the path.
+ \end{command}
+ \begin{command}{\foregroundpath\marg{code}}
+ This command works like |\backgroundpath|, only it is invoked
+ after the text labels have been drawn. This means that this path can
+ possibly obscure (part of) the text labels.
+ \end{command}
+ \begin{command}{\behindbackgroundpath\marg{code}}
+ Unlike the previous two commands, \meta{code} should not only
+ construct a path, it should also use this path in whatever way is
+ appropriate. For example, the \meta{code} might fill some area
+ with a uniform color.
+
+ Whatever the \meta{code} does, it does it first. This means that
+ any drawing done by \meta{code} will be even behind the background
+ path.
+
+ Note that the \meta{code} is protected with a |{pgfscope}|.
+ \end{command}
+ \begin{command}{\beforebackgroundpath\marg{code}}
+ This command works like |\behindbackgroundpath|, only the
+ \meta{code} is executed after the background path has been used,
+ but before the texts label are drawn.
+ \end{command}
+ \begin{command}{\behindforegroundpath\marg{code}}
+ The \meta{code} is executed after the text labels have been drawn,
+ but before the foreground path is used.
+ \end{command}
+ \begin{command}{\beforeforegroundpath\marg{code}}
+ This \meta{code} is executed at the very end.
+ \end{command}
+ \begin{command}{\inheritsavedanchors|[from=|\marg{another shape name}|]|}
+ This command allows you to inherit the code for saved anchors from
+ \meta{another shape name}. 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 \meta{another shape name}.
+
+ The effect of this command is the same as if you had called
+ |\savedanchor| and |\saveddimen| for each saved anchor or saved
+ dimension declared in \meta{another shape name}. Thus, it is not
+ possible to ``selectively'' 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.
+ \end{command}
+ \begin{command}{\inheritbehindbackgroundpath|[from=|\marg{another shape name}|]|}
+ This command can be used to inherit the code used for the
+ drawings behind the background path from \meta{another shape name}.
+ \end{command}
+ \begin{command}{\inheritbackgroundpath|[from=|\marg{another shape name}|]|}
+ Inherits the background path code from \meta{another shape name}.
+ \end{command}
+ \begin{command}{\inheritbeforebackgroundpath|[from=|\marg{another shape name}|]|}
+ Inherits the before background path code from \meta{another shape name}.
+ \end{command}
+ \begin{command}{\inheritbehindforegroundpath|[from=|\marg{another shape name}|]|}
+ Inherits the behind foreground path code from \meta{another shape name}.
+ \end{command}
+ \begin{command}{\inheritforegroundpath|[from=|\marg{another shape name}|]|}
+ Inherits the foreground path code from \meta{another shape name}.
+ \end{command}
+ \begin{command}{\inheritbeforeforegroundpath|[from=|\marg{another shape name}|]|}
+ Inherits the before foreground path code from \meta{another shape name}.
+ \end{command}
+ \begin{command}{\inheritanchor|[from=|\marg{another shape name}|]|\marg{name}}
+ Inherits the code of one specific anchor named \meta{name} from
+ \meta{another shape name}. Thus, unlike saved anchors, which must
+ be inherited collectively, normal anchors can and must be
+ inherited individually.
+ \end{command}
+ \begin{command}{\inheritanchorborder|[from=|\marg{another shape name}|]|}
+ Inherits the border anchor code from \meta{another shape name}.
+ \end{command}
+
+ The following example shows how a shape can be defined that relies
+ heavily on inheritance:
+\makeatletter
+\begin{codeexample}[]
+\pgfdeclareshape{document}{
+ \inheritsavedanchors[from=rectangle] % this is nearly a rectangle
+ \inheritanchorborder[from=rectangle]
+ \inheritanchor[from=rectangle]{center}
+ \inheritanchor[from=rectangle]{north}
+ \inheritanchor[from=rectangle]{south}
+ \inheritanchor[from=rectangle]{west}
+ \inheritanchor[from=rectangle]{east}
+ % ... and possibly more
+ \backgroundpath{% this is new
+ % store lower right in xa/ya and upper right in xb/yb
+ \southwest \pgf@xa=\pgf@x \pgf@ya=\pgf@y
+ \northeast \pgf@xb=\pgf@x \pgf@yb=\pgf@y
+ % compute corner of ``flipped page''
+ \pgf@xc=\pgf@xb \advance\pgf@xc by-5pt % this should be a parameter
+ \pgf@yc=\pgf@yb \advance\pgf@yc by-5pt
+ % construct main path
+ \pgfpathmoveto{\pgfpoint{\pgf@xa}{\pgf@ya}}
+ \pgfpathlineto{\pgfpoint{\pgf@xa}{\pgf@yb}}
+ \pgfpathlineto{\pgfpoint{\pgf@xc}{\pgf@yb}}
+ \pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@yc}}
+ \pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@ya}}
+ \pgfpathclose
+ % add little corner
+ \pgfpathmoveto{\pgfpoint{\pgf@xc}{\pgf@yb}}
+ \pgfpathlineto{\pgfpoint{\pgf@xc}{\pgf@yc}}
+ \pgfpathlineto{\pgfpoint{\pgf@xb}{\pgf@yc}}
+ \pgfpathlineto{\pgfpoint{\pgf@xc}{\pgf@yc}}
+ }
+}\hskip-1.2cm
+\begin{tikzpicture}
+ \node[shade,draw,shape=document,inner sep=2ex] (x) {Remark};
+ \node[fill=examplefill,draw,ellipse,double]
+ at ([shift=(-80:3cm)]x) (y) {Use Case};
+
+ \draw[dashed] (x) -- (y);
+\end{tikzpicture}
+\end{codeexample}
+
+\end{command}
+
+
+
+
+\subsection{Predefined Shapes}
+
+\begin{shape}{coordinate}
+ The |coordinate| is mainly intended to be used to store locations
+ using the node mechanism. This shape does not have any background
+ path and options like |draw| have no effect on it. Also, it does not
+ have any node parts, so no text is drawn when this shape is used.
+
+ \tikzname\ handles this shape in a special way, see
+ Section~\ref{section-tikz-coordinate-shape}.
+\end{shape}
+
+\begin{shape}{rectangle}
+ 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 |10| and |130| are example of border
+ anchors.
+\begin{codeexample}[]
+\Huge
+\begin{tikzpicture}
+ \node[name=s,shape=rectangle,style=shape example] {Rectangle\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}{circle}
+ This shape is a circle tightly fitting the text box.
+\begin{codeexample}[]
+\Huge
+\begin{tikzpicture}
+ \node[name=s,shape=circle,style=shape example] {Circle\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}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
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
new file mode 100644
index 00000000000..4117a63eff7
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-paths.tex
@@ -0,0 +1,667 @@
+% 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{Constructing Paths}
+
+\subsection{Overview}
+
+The ``basic entity of drawing'' in \pgfname\ is the \emph{path}. 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 \emph{segments}, each of which is
+either a straight line or a Bézier curve. Here is an example of a
+path (in red) consisting of two parts, one open, one closed:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=2]
+ \draw[thick,red]
+ (0,0) coordinate (a)
+ -- coordinate (ab) (1,.5) coordinate (b)
+ .. coordinate (bc) controls +(up:1cm) and +(left:1cm) .. (3,1) coordinate (c)
+ (0,1) -- (2,1) -- coordinate (x) (1,2) -- cycle;
+
+ \draw (a) node[below] {start part 1}
+ (ab) node[below right] {straight segment}
+ (b) node[right] {end first segment}
+ (c) node[right] {end part 1}
+ (x) node[above right] {part 2 (closed)};
+\end{tikzpicture}
+\end{codeexample}
+
+A path, by itself, has no ``effect,'' that is, it does not leave any
+marks on the page. It is just a set of points on the plane. However,
+you can \emph{use} a path in different ways. The most natural actions
+are \emph{stroking} (also known as \emph{drawing}) and
+\emph{filling}. Stroking can be imagined as picking up a pen of a
+certain diameter and ``moving it along the path.'' Filling means that
+everything ``inside'' 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.
+
+In \pgfname, there are numerous commands for constructing paths, all
+of which start with |\pgfpath|. There are also commands for
+\emph{using} paths, though most operations can be performed by calling
+|\pgfusepath| with an appropriate parameter.
+
+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~\ref{section-bb} for more details.
+
+Each path construction command extends the current path in some
+way. The ``current path'' is a global entity that persists across
+\TeX\ groups. Thus, between calls to the path construction commands
+you can perform arbitrary computations and even open and closed \TeX\
+groups. The current path only gets ``flushed'' when the |\pgfusepath|
+command is called (or when the soft-path subsystem is used directly,
+see Section~\ref{section-soft-paths}).
+
+\subsection{The Move-To Path Operation}
+
+The most basic operation is the move-to operation. It must be given at
+the beginning of paths, though some path construction command (like
+|\pgfpathrectangle|) generate move-tos implicitly. A move-to operation
+can also be used to start a new part of a path.
+
+\begin{command}{\pgfpathmoveto\marg{coordinate}}
+ This command expects a \pgfname-coordinate like |\pgfpointorigin| as
+ its parameter. When the current path is empty, this operation will
+ start the path at the given \meta{coordinate}. If a path has already
+ been partly constructed, this command will end the current part of
+ the path and start a new one.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{1cm}{1cm}}
+ \pgfpathlineto{\pgfpoint{2cm}{1cm}}
+ \pgfpathlineto{\pgfpoint{3cm}{0.5cm}}
+ \pgfpathlineto{\pgfpoint{3cm}{0cm}}
+ \pgfsetfillcolor{examplefill}
+ \pgfusepath{fill,stroke}
+\end{pgfpicture}
+\end{codeexample}
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{1cm}{1cm}}
+ \pgfpathlineto{\pgfpoint{2cm}{1cm}}
+ \pgfpathmoveto{\pgfpoint{2cm}{1cm}} % New part
+ \pgfpathlineto{\pgfpoint{3cm}{0.5cm}}
+ \pgfpathlineto{\pgfpoint{3cm}{0cm}}
+ \pgfsetfillcolor{examplefill}
+ \pgfusepath{fill,stroke}
+\end{pgfpicture}
+\end{codeexample}
+ The command will apply the current coordinate transformation matrix
+ to \meta{coordinate} before using it.
+
+ The command will update the bounding box of the current path and
+ picture, if necessary.
+\end{command}
+
+
+\subsection{The Line-To Path Operation}
+
+\begin{command}{\pgfpathlineto\marg{coordinate}}
+ This command extends the current path in a straight line to the
+ given \meta{coordinate}. 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 \TeX\ file may compile
+ without an error message, but a viewer application may display an
+ error message when trying to render the picture.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{1cm}{1cm}}
+ \pgfpathlineto{\pgfpoint{2cm}{1cm}}
+ \pgfsetfillcolor{examplefill}
+ \pgfusepath{fill,stroke}
+\end{pgfpicture}
+\end{codeexample}
+ The command will apply the current coordinate transformation matrix
+ to \meta{coordinate} before using it.
+
+ The command will update the bounding box of the current path and
+ picture, if necessary.
+\end{command}
+
+
+\subsection{The Curve-To Path Operation}
+
+\begin{command}{\pgfpathcurveto\marg{support 1}\marg{support 2}\marg{coordinate}}
+ This command extends the current path with a Bézier curve from the
+ last point of the path to \meta{coordinate}. The \meta{support 1}
+ and \meta{support 2} are the first and second support point of the
+ Bézier curve. For more information on Bézier curve, please consult a
+ standard textbook on computer graphics.
+
+ Like the line-to command, this command may not be the first path
+ construction command in a path.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathcurveto
+ {\pgfpoint{1cm}{1cm}}{\pgfpoint{2cm}{1cm}}{\pgfpoint{3cm}{0cm}}
+ \pgfsetfillcolor{examplefill}
+ \pgfusepath{fill,stroke}
+\end{pgfpicture}
+\end{codeexample}
+ The command will apply the current coordinate transformation matrix
+ to \meta{coordinate} before using it.
+
+ 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 \meta{coordinate}. 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 ``some serious math'' in order
+ to calculate a precise bounding box.
+\end{command}
+
+
+\subsection{The Close Path Operation}
+
+\begin{command}{\pgfpathclose}
+ 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
+ \emph{is} 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:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfsetlinewidth{5pt}
+ \pgfpathmoveto{\pgfpoint{1cm}{1cm}}
+ \pgfpathlineto{\pgfpoint{0cm}{-1cm}}
+ \pgfpathlineto{\pgfpoint{1cm}{-1cm}}
+ \pgfpathclose
+ \pgfpathmoveto{\pgfpoint{2.5cm}{1cm}}
+ \pgfpathlineto{\pgfpoint{1.5cm}{-1cm}}
+ \pgfpathlineto{\pgfpoint{2.5cm}{-1cm}}
+ \pgfpathlineto{\pgfpoint{2.5cm}{1cm}}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\subsection{Arc, Ellipse and Circle Path Operations}
+
+The path construction commands that we have discussed up to now are
+sufficient to create all paths that can be created ``at all.''
+However, it is useful to have special commands to create certain
+shapes, like circles, that arise often in practice.
+
+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}}
+ 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 $\meta{start angle}
+ < \meta{end angle}$, 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 \emph{not} start a new part of the
+ path, which is important for example for filling purposes.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{0cm}{1cm}}
+ \pgfpatharc{180}{90}{.5cm}
+ \pgfpathlineto{\pgfpoint{3cm}{1.5cm}}
+ \pgfpatharc{90}{-45}{.5cm}
+ \pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+
+ Saying |\pgfpatharc{0}{360}{1cm}| ``nearly'' gives you a full
+ 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:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpatharc{180}{45}{2cm/1cm}
+ \pgfusepath{draw}
+\end{tikzpicture}
+\end{codeexample}
+
+ The axes of the circle or ellipse from which the arc is ``taken''
+ 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:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgftransformrotate{30}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpatharc{180}{45}{2cm/1cm}
+ \pgfusepath{draw}
+\end{tikzpicture}
+\end{codeexample}
+
+ 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.
+\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
+ path (if the path is not empty, a new part is started). The
+ ellipse's center will be \meta{center} and \meta{first axis} and
+ \meta{second axis} are the axis \emph{vectors}. 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.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathellipse{\pgfpoint{1cm}{0cm}}
+ {\pgfpoint{1.5cm}{0cm}}
+ {\pgfpoint{0cm}{1cm}}
+ \pgfusepath{draw}
+ \color{red}
+ \pgfpathellipse{\pgfpoint{1cm}{0cm}}
+ {\pgfpoint{1cm}{1cm}}
+ {\pgfpoint{-0.5cm}{0.5cm}}
+ \pgfusepath{draw}
+\end{tikzpicture}
+\end{codeexample}
+
+ The command will apply coordinate transformations to all coordinates
+ of the ellipse. However, the coordinate transformations are applied
+ only after the ellipse is ``finished conceptually.'' 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 $x$-coordinates
+ of the two axis vectors.
+
+ The command will update the bounding box of the current path and
+ picture, if necessary.
+\end{command}
+
+\begin{command}{\pgfpathcirlce\marg{center}\marg{radius}}
+ A shorthand for |\pgfpathellipse| applied to \meta{center} and the
+ two axis vectors $(\meta{radius},0)$ and $(0,\meta{radius})$.
+\end{command}
+
+
+\subsection{Rectangle Path Operations}
+
+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.
+
+
+\begin{command}{\pgfpathrectangle\marg{corner}\marg{diagonal vector}}
+ Adds a rectangle to the path whose one corner is \meta{corner} and
+ whose opposite corner is given by $\meta{corner} + \meta{diagonal
+ vector}$.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathrectangle{\pgfpoint{1cm}{0cm}}{\pgfpoint{1.5cm}{1cm}}
+ \pgfpathrectangle{\pgfpoint{1.5cm}{0.25cm}}{\pgfpoint{1.5cm}{1cm}}
+ \pgfpathrectangle{\pgfpoint{2cm}{0.5cm}}{\pgfpoint{1.5cm}{1cm}}
+ \pgfusepath{draw}
+\end{tikzpicture}
+\end{codeexample}
+ The command will apply coordinate transformations and update the
+ bounding boxes tightly.
+\end{command}
+
+
+\begin{command}{\pgfpathrectanglecorners\marg{corner}\marg{opposite corner}}
+ Adds a rectangle to the path whose two opposing corners are
+ \meta{corner} and \meta{opposite corner}.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathrectanglecorners{\pgfpoint{1cm}{0cm}}{\pgfpoint{1.5cm}{1cm}}
+ \pgfusepath{draw}
+\end{tikzpicture}
+\end{codeexample}
+ The command will apply coordinate transformations and update the
+ bounding boxes tightly.
+\end{command}
+
+
+
+\subsection{The Grid Path Operation}
+
+\begin{command}{\pgfpathgrid\oarg{options}\marg{lower left}\marg{upper right}}
+ 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.
+
+ Conceptually, the origin is part of the grid and the grid is clipped
+ to the rectangle specified by the \meta{lower left} and
+ the \meta{upper right} corner. However, no clipping occurs (this
+ command just adds parts to the current path). Rather, the points
+ where the lines enter and leave the ``clipping area'' are computed
+ and used to add simple lines to the current path.
+
+ Allowed \meta{options} are:
+ \begin{itemize}
+ \itemoption{stepx}|=|\meta{dimension}
+ Sets the horizontal stepping to \meta{dimension}. Default is 1cm.
+ \itemoption{stepy}|=|\meta{dimension}
+ Sets the vertical stepping to \meta{dimension}. Default is 1cm.
+ \itemoption{step}|=|\meta{vector}
+ Sets the horizontal stepping to the $x$-coordinate of
+ \meta{vector} and the vertical stepping to its $y$-coordinate.
+ \end{itemize}
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfsetlinewidth{0.8pt}
+ \pgfpathgrid[step={\pgfpoint{1cm}{1cm}}]
+ {\pgfpoint{-3mm}{-3mm}}{\pgfpoint{33mm}{23mm}}
+ \pgfusepath{stroke}
+ \pgfsetlinewidth{0.4pt}
+ \pgfpathgrid[stepx=1mm,stepy=1mm]
+ {\pgfpoint{-1.5mm}{-1.5mm}}{\pgfpoint{31.5mm}{21.5mm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+ The command will apply coordinate transformations and update the
+ bounding boxes tightly. As for ellipses, the transformations are
+ applied to the ``conceptually finished'' grid.
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgftransformrotate{10}
+ \pgfpathgrid[stepx=1mm,stepy=2mm]{\pgfpoint{0mm}{0mm}}{\pgfpoint{30mm}{30mm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+
+\subsection{The Parabola Path Operation}
+
+\begin{command}{\pgfpathparabola\marg{bend vector}\marg{end vector}}
+ This command appends two half-parabolas to the current path. The
+ first starts at the current point and ends at the current point plus
+ \meta{bend vector}. 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 \meta{end vector}.
+
+ If you set \meta{end vector} to the null vector, you append only a
+ half parabola that goes from the current point to the bend; by
+ setting \meta{bend vector} to the null vector, you append only a
+ half parabola that goes to current point plus \meta{end vector} and
+ has its bend at the current point.
+
+ It is not possible to use this command to draw a part of a parabola
+ that does not contain the bend.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ % Half-parabola going ``up and right''
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathparabola{\pgfpointorigin}{\pgfpoint{2cm}{4cm}}
+ \color{red}
+ \pgfusepath{stroke}
+
+ % Half-parabola going ``down and right''
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathparabola{\pgfpoint{-2cm}{4cm}}{\pgfpointorigin}
+ \color{blue}
+ \pgfusepath{stroke}
+
+ % Full parabola
+ \pgfpathmoveto{\pgfpoint{-2cm}{2cm}}
+ \pgfpathparabola{\pgfpoint{1cm}{-1cm}}{\pgfpoint{2cm}{4cm}}
+ \color{orange}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+ The command will apply coordinate transformations and update the
+ bounding boxes.
+\end{command}
+
+
+\subsection{Sine and Cosine Path Operations}
+
+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 $\pi/2$.
+
+\begin{command}{\pgfpathsine\marg{vector}}
+ This command appends a sine curve in the interval $[0,\pi/2]$ 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
+ \meta{vector}.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,1);
+ \pgfpathmoveto{\pgfpoint{1cm}{0cm}}
+ \pgfpathsine{\pgfpoint{1cm}{1cm}}
+ \pgfusepath{stroke}
+
+ \color{red}
+ \pgfpathmoveto{\pgfpoint{1cm}{0cm}}
+ \pgfpathsine{\pgfpoint{-2cm}{-2cm}}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+ The command will apply coordinate transformations and update the
+ bounding boxes.
+\end{command}
+
+\begin{command}{\pgfpathcosine\marg{vector}}
+ This command appends a cosine curve in the interval $[0,\pi/2]$ 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
+ \meta{vector}. Using several sine and cosine operations in sequence
+ allows you to produce a complete sine or cosine curve
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpoint{0cm}{0cm}}
+ \pgfpathsine{\pgfpoint{1cm}{1cm}}
+ \pgfpathcosine{\pgfpoint{1cm}{-1cm}}
+ \pgfpathsine{\pgfpoint{1cm}{-1cm}}
+ \pgfpathcosine{\pgfpoint{1cm}{1cm}}
+ \pgfsetfillcolor{examplefill}
+ \pgfusepath{fill,stroke}
+\end{pgfpicture}
+\end{codeexample}
+ The command will apply coordinate transformations and update the
+ bounding boxes.
+\end{command}
+
+
+\subsection{Plot Path Operations}
+
+There exist several commands for appending
+plots to a path. These
+commands are available through the package |pgfbaseplot|. They are
+documented in Section~\ref{section-plots}.
+
+
+\subsection{Rounded Corners}
+
+Normally, when you connect two straight line segments or when you
+connect two curves that end and start ``at different angles'' you get
+``sharp corners'' between the lines or curves. In some cases it is
+desirable to produce ``rounded corners'' instead. Thus, the lines
+or curves should be shortened a bit and then connected by arcs.
+
+\pgfname\ offers an easy way to achieve this effect, by calling the
+following two commands.
+
+\begin{command}{\pgfsetcornersarced\marg{point}}
+ This command causes all subsequent corners to be replaced by little
+ arcs. The effect of this command lasts till the end of the current
+ \TeX\ scope.
+
+ The \meta{point} dictates how large the corner arc will be. Consider
+ a corner made by two lines $l$ and~$r$ and assume that the line $l$
+ comes first on the path. The $x$-dimension of the \meta{point}
+ decides by how much the line~$l$ will be shortened, the
+ $y$-dimension of \meta{point} decides by how much the line $r$ will
+ be shortened. Then, the shortened lines are connected by an arc.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+
+ \pgfsetcornersarced{\pgfpoint{5mm}{5mm}}
+ \pgfpathrectanglecorners{\pgfpointorigin}{\pgfpoint{3cm}{2cm}}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+
+ \pgfsetcornersarced{\pgfpoint{10mm}{5mm}}
+ % 10mm entering,
+ % 5mm leaving.
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{0cm}{2cm}}
+ \pgfpathlineto{\pgfpoint{3cm}{2cm}}
+ \pgfpathcurveto
+ {\pgfpoint{3cm}{0cm}}
+ {\pgfpoint{2cm}{0cm}}
+ {\pgfpoint{1cm}{0cm}}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+
+ If the $x$- and $y$-coordinates of \meta{point} 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 $90^\circ$, you only get a fair approximation.
+
+ More or less ``all'' corners will be rounded, even the corner
+ generated by a |\pgfpathclose| command. (The author is a bit proud
+ of this feature.)
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfsetcornersarced{\pgfpoint{4pt}{4pt}}
+ \pgfpathmoveto{\pgfpointpolar{0}{1cm}}
+ \pgfpathlineto{\pgfpointpolar{72}{1cm}}
+ \pgfpathlineto{\pgfpointpolar{144}{1cm}}
+ \pgfpathlineto{\pgfpointpolar{216}{1cm}}
+ \pgfpathlineto{\pgfpointpolar{288}{1cm}}
+ \pgfpathclose
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+
+ To return to normal (unrounded) corners, use
+ |\pgfsetcornersarced{\pgfpointorigin}|.
+
+ 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 ``suddenly extend over the other
+ end'' which is rarely desirable.
+\end{command}
+
+
+
+
+\subsection{Internal Tracking of Bounding Boxes for Paths and Pictures}
+
+\label{section-bb}
+
+\makeatletter
+
+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 |{pgfpicture}|.
+
+The bounding boxes are not accessible by ``normal'' macros. Rather,
+two sets of four dimension variables are used for this, all of which
+contain the letter~|@|.
+
+\begin{textoken}{\pgf@pathminx}
+ The minimum $x$-coordinate ``mentioned'' in the current
+ path. Initially, this is set to $16000$pt.
+\end{textoken}
+
+\begin{textoken}{\pgf@pathmaxx}
+ The maximum $x$-coordinate ``mentioned'' in the current
+ path. Initially, this is set to $-16000$pt.
+\end{textoken}
+
+\begin{textoken}{\pgf@pathminy}
+ The minimum $y$-coordinate ``mentioned'' in the current
+ path. Initially, this is set to $16000$pt.
+\end{textoken}
+
+\begin{textoken}{\pgf@pathmaxy}
+ The maximum $y$-coordinate ``mentioned'' in the current
+ path. Initially, this is set to $-16000$pt.
+\end{textoken}
+
+\begin{textoken}{\pgf@picminx}
+ The minimum $x$-coordinate ``mentioned'' in the current
+ picture. Initially, this is set to $16000$pt.
+\end{textoken}
+
+\begin{textoken}{\pgf@picmaxx}
+ The maximum $x$-coordinate ``mentioned'' in the current
+ picture. Initially, this is set to $-16000$pt.
+\end{textoken}
+
+\begin{textoken}{\pgf@picminy}
+ The minimum $y$-coordinate ``mentioned'' in the current
+ picture. Initially, this is set to $16000$pt.
+\end{textoken}
+
+\begin{textoken}{\pgf@picmaxy}
+ The maximum $y$-coordinate ``mentioned'' in the current
+ picture. Initially, this is set to $-16000$pt.
+\end{textoken}
+
+
+Each time a path construction command is called, the above variables
+are (globally) updated. To facilitate this, you can use the following
+command:
+
+\begin{command}{\pgf@protocolsizes\marg{x-dimension}\marg{y-dimension}}
+ 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's bounding box this updating occurs only if
+ |\ifpgf@relevantforpicturesize| is true, see below.
+\end{command}
+
+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 ``\TeX\ if'' that (locally) decides whether
+updating should be applied to the picture's bounding box. Clipping
+will set this if to false, as will certain other commands.
+
+\begin{command}{\pgf@relevantforpicturesizefalse}
+ Suppresses updating of the picture's bounding box.
+\end{command}
+
+\begin{command}{\pgf@relevantforpicturesizetrue}
+ Causes updating of the picture's bounding box.
+\end{command}
+
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
new file mode 100644
index 00000000000..5c5a1738bc8
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-plots.tex
@@ -0,0 +1,365 @@
+% 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{Creating Plots}
+
+\label{section-plots}
+
+This section describes the |pgfbaseplot| package.
+
+\begin{package}{pgfbaseplot}
+ This package provides a set of commands that are intended to make it
+ reasonably easy to plot functions using \pgfname. It is loaded
+ automatically by |pgf|, but you can load it manually if you have
+ only included |pgfcore|.
+\end{package}
+
+\subsection{Overview}
+
+\subsubsection{When Should One Use PGF for Generating Plots? }
+
+There exist many powerful programs that produce plots, examples are
+\textsc{gnuplot} or \textsc{mathematica}. These programs can produce
+two different kinds of output: First, they can output a complete plot
+picture in a certain format (like \pdf) that includes all low-level
+commands necessary for drawing the complete plot (including axes and
+labels). Second, they can usually also produce ``just plain data'' in
+the form of a long list of coordinates. Most of the powerful programs
+consider it a to be ``a bit boring'' to just output tabled data and
+very much prefer to produce fancy pictures. Nevertheless, when coaxed,
+they can also provide the plain data.
+
+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 \pgfname\ to turn lists of coordinates into
+plots.
+
+\emph{Note that is often not necessary to use \pgfname\ for this.}
+Programs like \textsc{gnuplot} can produce very sophisticated plots
+and it is usually much easier to simply include these plots as a
+finished \textsc{pdf} or PostScript graphics.
+
+However, there are a number of reasons why you may wish to invest time
+and energy into mastering the \pgfname\ commands for creating plots:
+
+\begin{itemize}
+\item
+ Virtually all plots produced by ``external programs'' use different
+ fonts from the one used in your document.
+\item
+ Even worse, formulas will look totally different, if they can be
+ rendered at all.
+\item
+ Line width will usually be too large or too small.
+\item
+ Scaling effects upon inclusion can create a mismatch between sizes
+ in the plot and sizes in the text.
+\item
+ The automatic grid generated by most programs is mostly
+ distracting.
+\item
+ The automatic ticks generated by most programs are cryptic
+ numerics. (Try adding a tick reading ``$\pi$'' at the right point.)
+\item
+ Most programs make it very easy to create ``chart junk'' in a most
+ convenient fashion. All show, no content.
+\item
+ Arrows and plot marks will almost never match the arrows used in the
+ rest of the document.
+\end{itemize}
+
+The above list is not exhaustive, unfortunately.
+
+
+\subsubsection{How PGF Handles Plots}
+
+\pgfname\ (conceptually) uses a two-stage process for generating
+plots. First, a \emph{plot stream} must be produced. This stream
+consists (more or less) of a large number of coordinates. Second a
+\emph{plot handler} is applied to the stream. A plot handler ``does
+something'' 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.
+
+Both for the creation of streams and the handling of streams different
+sets of commands exist. The commands for creating streams start with
+|\pgfplotstream|, the commands for setting the handler start with
+|\pgfplothandler|.
+
+
+
+\subsection{Generating Plot Streams}
+
+\subsubsection{Basic Building Blocks of Plot Streams}
+A \emph{plot stream} is a (long) sequence of the following three
+commands:
+\begin{enumerate}
+\item
+ |\pgfplotstreamstart|,
+\item
+ |\pgfplotstreampoint|, and
+\item
+ |\pgfplotstreamend|.
+\end{enumerate}
+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:
+\begin{codeexample}[code only]
+\pgfplotstreamstart
+\pgfplotstreampoint{\pgfpoint{1cm}{1cm}}
+\newdimen\mydim
+\mydim=2cm
+\pgfplotstreampoint{\pgfpoint{\mydim}{2cm}}
+\advance \mydim by 3cm
+\pgfplotstreampoint{\pgfpoint{\mydim}{2cm}}
+\pgfplotstreamend
+\end{codeexample}
+
+\begin{command}{\pgfplotstreamstart}
+ This command signals that a plot stream starts. The effect of this
+ command is to call the internal command |\pgf@plotstreamstart|,
+ which is set by the current plot handler to do whatever needs to be
+ done at the beginning of the plot.
+\end{command}
+
+\begin{command}{\pgfplotstreampoint\marg{point}}
+ This command adds a \meta{point} to the current plot stream. The
+ effect of this command is to call the internal command |\pgf@plotstreampoint|,
+ which is also set by the current plot handler. This command should
+ now ``handle'' the point in some sensible way. For example, a
+ line-to command might be issued for the point.
+\end{command}
+
+\begin{command}{\pgfplotstreamend}
+ This command signals that a plot stream ends. It calls
+ |\pgf@plotstreamend|, which should now do any necessary ``cleanup.''
+\end{command}
+
+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.
+
+\subsubsection{Commands That Generate Plot Streams}
+
+Plot streams can be created ``by hand'' as in the earlier
+example. However, most of the time the coordinates will be produced
+internally by some command. For example, the |\pgfplotxyfile| reads a
+file and converts it into a plot stream.
+
+\begin{command}{\pgfplotxyfile\marg{filename}}
+ This command will try to open the file \meta{filename}. If this
+ succeeds, it will convert the file contents into a plot stream as
+ follows: A |\pgfplotstreamstart| is issued. Then, each nonempty line
+ of the file should start with two numbers separated by a space, such
+ as |0.1 1| or |100 -.3|. Anything following the numbers is ignored.
+
+ Each pair \meta{x} and \meta{y} of numbers is converted into one
+ plot stream point in the xy-coordinate system. Thus, a line like
+\begin{codeexample}[code only]
+2 -5 some text
+\end{codeexample}
+ is turned into
+\begin{codeexample}[code only]
+\pgfplotstreampoint{\pgfpointxy{2}{-5}}
+\end{codeexample}
+
+ The two characters |%| and |#| 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.
+
+ When the file has been read completely, |\pgfplotstreamend| is
+ called.
+\end{command}
+
+
+\begin{command}{\pgfplotxyzfile\marg{filename}}
+ This command works like |\pgfplotxyfile|, only \emph{three} numbers
+ are expected on each non-empty line. They are converted into points
+ in the xyz-coordinate system. Consider, the following file:
+\begin{codeexample}[code only]
+% Some comments
+# more comments
+2 -5 1 first entry
+2 -.2 2 second entry
+2 -5 2 third entry
+\end{codeexample}
+ It is turned into the following stream:
+\begin{codeexample}[code only]
+\pgfplotstreamstart
+\pgfplotstreampoint{\pgfpointxyz{2}{-5}{1}}
+\pgfplotstreampoint{\pgfpointxyz{2}{-.2}{2}}
+\pgfplotstreampoint{\pgfpointxyz{2}{-5}{2}}
+\pgfplotstreamend
+\end{codeexample}
+\end{command}
+
+
+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
+``smart file reader'' that parses coordinate files a bit more
+intelligently.
+
+
+\begin{command}{\pgfplotgnuplot\oarg{prefix}\marg{function}}
+ This command will ``try'' to call the \textsc{gnuplot} program to
+ generate the coordinates of the \meta{function}. In detail, the
+ following happens:
+
+ This command works with two files: \meta{prefix}|.gnuplot| and
+ \meta{prefix}|.table|. If the optional argument \meta{prefix} is
+ not given, it is set to |\jobname|.
+
+ Let us start with the situation where none of these files
+ exists. Then \pgfname\ will first generate the file
+ \meta{prefix}|.gnuplot|. In this file it writes
+\begin{codeexample}[code only]
+set terminal table; set output "#1.table"; set format "%.5f"
+\end{codeexample}
+ where |#1| is replaced by \meta{prefix}. Then, in a second line, it
+ writes the text \meta{function}.
+
+ Next, \pgfname\ will try to invoke the program |gnuplot| with the
+ argument \meta{prefix}|.gnuplot|. This call may or may not succeed,
+ depending on whether the |\write18| mechanism (also known as
+ shell escape) is switched on and whether the |gnuplot| program is
+ available.
+
+ Assuming that the call succeeded, the next step is to invoke
+ |\pgfplotxyfile| on the file \meta{prefix}|.table|; which is exactly
+ the file that has just been created by |gnuplot|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,-1) grid (4,1);
+ \pgfplothandlerlineto
+ \pgfplotgnuplot[plots/pgfplotgnuplot-example]{plot [x=0:3.5] x*sin(x)}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+
+ The more difficult situation arises when the |.gnuplot| file exists,
+ which will be the case on the second run of \TeX\ on the \TeX\
+ file. In this case \pgfname\ will read this file and check whether
+ it contains exactly what \pgfname\ ``would have written'' into
+ this file. If this is not the case, the file contents is overwritten
+ with what ``should be there'' and, as above, |gnuplot| is invoked to
+ generate a new |.table| file. However, if the file contents is ``as
+ expected,'' the external |gnuplot| program is \emph{not}
+ called. Instead, the \meta{prefix}|.table| file is immediately
+ read.
+
+ As explained in Section~\ref{section-tikz-gnuplot}, the net effect
+ of the above mechanism is that |gnuplot| is called as little as
+ possible and that when you pass along the |.gnuplot| and |.table|
+ files with your |.tex| file to someone else, that person can
+ \TeX\ the |.tex| file without having |gnuplot| installed and without
+ having the |\write18| mechanism switched on.
+\end{command}
+
+
+
+\subsection{Plot Handlers}
+
+\label{section-plot-handlers}
+
+A \emph{plot handler} prescribes what ``should be done'' 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 |pgflibraryplothandlers|, which is
+documented in Section~\ref{section-library-plothandlers}.
+
+All plot handlers work by setting redefining the following three
+macros: |\pgf@plotstreamstart|, |\pgf@plotstreampoint|, and
+|\pgf@plotstreamend|.
+
+\begin{command}{\pgfplothandlerlineto}
+ This handler will issue a |\pgfpathlineto| command for each point of
+ the plot, \emph{except} possibly for the first. What happens with
+ the first point can be specified using the two commands described
+ below.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfplothandlerlineto
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{1cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{3cm}{2cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{2cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsetmovetofirstplotpoint}
+ 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.
+\end{command}
+
+\begin{command}{\pgfsetlinetofirstplotpoint}
+ Specifies that plot handlers should issue a line-to command for the
+ first point of the plot.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfsetlinetofirstplotpoint
+ \pgfplothandlerlineto
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{1cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{3cm}{2cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{2cm}}
+ \pgfplotstreamend
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfplothandlerdiscard}
+ This handler will simply throw away the stream.
+\end{command}
+
+\begin{command}{\pgfplothandlerrecord\marg{macro}}
+ When this handler is installed, each time a plot stream command is
+ called, this command will be appended to \meta{macros}. Thus, at
+ the end of the stream, \meta{macro} will contain all the
+ commands that were issued on the stream. You can then install
+ another handler and invoke \meta{macro} to ``replay'' the stream
+ (possibly many times).
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfplothandlerrecord{\mystream}
+ \pgfplotstreamstart
+ \pgfplotstreampoint{\pgfpoint{1cm}{0cm}}
+ \pgfplotstreampoint{\pgfpoint{2cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{3cm}{1cm}}
+ \pgfplotstreampoint{\pgfpoint{1cm}{2cm}}
+ \pgfplotstreamend
+ \pgfplothandlerlineto
+ \mystream
+ \pgfplothandlerclosedcurve
+ \mystream
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\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-points.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-points.tex
new file mode 100644
index 00000000000..9c1a821e26c
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-points.tex
@@ -0,0 +1,452 @@
+% 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{Specifying Coordinates}
+
+\label{section-points}
+
+\subsection{Overview}
+
+Most \pgfname\ commands expect you to provide the coordinates of a
+\emph{point} (also called \emph{coordinate}) inside your
+picture. Points are always ``local'' to your picture, that is, they
+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
+coordinate.
+
+\begin{command}{\pgfpoint\marg{x coordinate}\marg{y coordinate}}
+ Yields a point location. The coordinates are given as \TeX\
+ dimensions.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathcircle{\pgfpoint{1cm}{1cm}} {2pt}
+ \pgfpathcircle{\pgfpoint{2cm}{5pt}} {2pt}
+ \pgfpathcircle{\pgfpoint{0pt}{.5in}}{2pt}
+ \pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfpointorigin}
+ Yields the origin. Same as |\pgfpoint{0pt}{0pt}|.
+\end{command}
+
+\begin{command}{\pgfpointpolar\marg{degree}\marg{radius}}
+ Yields a point location given in polar coordinates. You can specify
+ the angle only in degrees, radians are not supported, currently.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+
+ \foreach \angle in {0,10,...,90}
+ {\pgfpathcircle{\pgfpointpolar{\angle}{1cm}}{2pt}}
+ \pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+
+\subsection{Coordinates in the Xy- and Xyz-Coordinate Systems}
+
+Coordinates can also be specified as multiples of an $x$-vector and a
+$y$-vector. Normally, the $x$-vector points one centimeter in the
+$x$-direction and the $y$-vector points one centimeter in the
+$y$-direction, but using the commands |\pgfsetxvec| and
+|\pgfsetyvec| they can be changed. Note that the $x$- 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.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathmoveto{\pgfpointxy{1}{0}}
+ \pgfpathlineto{\pgfpointxy{2}{2}}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\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
+ system.
+ \example
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+
+ \pgfpathmoveto{\pgfpointxy{1}{0}}
+ \pgfpathlineto{\pgfpointxy{2}{2}}
+ \pgfusepath{stroke}
+
+ \color{red}
+ \pgfsetxvec{\pgfpoint{0.75cm}{0cm}}
+ \pgfpathmoveto{\pgfpointxy{1}{0}}
+ \pgfpathlineto{\pgfpointxy{2}{2}}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsetyvec\marg{point}}
+ Works like |\pgfsetyvec|.
+\end{command}
+
+\begin{command}{\pgfsetzvec\marg{point}}
+ Works like |\pgfsetzvec|.
+\end{command}
+
+
+
+
+\subsection{Building Coordinates From Other Coordinates}
+
+Many commands allow you to construct a coordinate in terms of other
+coordinates.
+
+
+\subsubsection{Basic Manipulations of Coordinates}
+
+\begin{command}{\pgfpointadd\marg{$v_1$}\marg{$v_2$}}
+ Returns the sum vector $\meta{$v_1$} + \meta{$v_2$}$.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathcircle{\pgfpointadd{\pgfpoint{1cm}{0cm}}{\pgfpoint{1cm}{1cm}}}{2pt}
+ \pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfpointscale\marg{factor}\marg{coordinate}}
+ Returns the vector $\meta{factor}\meta{coordinate}$.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathcircle{\pgfpointscale{1.5}{\pgfpoint{1cm}{0cm}}}{2pt}
+ \pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfpointdiff\marg{start}\marg{end}}
+ Returns the difference vector $\meta{end} - \meta{start}$.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathcircle{\pgfpointdiff{\pgfpoint{1cm}{0cm}}{\pgfpoint{1cm}{1cm}}}{2pt}
+ \pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgfpointnormalised\marg{point}}
+ This command returns a normalized version of \meta{point}, that is,
+ a vector of length 1pt pointing in the direction of \meta{point}. If
+ \meta{point} is the $0$-vector or extremely short, a vector of
+ length 1pt pointing upwards is returned.
+
+ This command is \emph{not} implemented by calculating the length of
+ the vector, but rather by calculating the angle of the vector and
+ then using (something equivalent to) the |\pgfpointpolar|
+ command. This ensures that the point will really have length 1pt,
+ but it is not guaranteed that the vector will \emph{precisely} point
+ in the direction of \meta{point} due to the fact that the polar
+ tables are accurate only up to one degree. Normally, this is not a
+ problem.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathcircle{\pgfpoint{2cm}{1cm}}{2pt}
+ \pgfpathcircle{\pgfpointscale{20}
+ {\pgfpointnormalised{\pgfpoint{2cm}{1cm}}}}{2pt}
+ \pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\subsubsection{Points Traveling along Lines and Curves}
+
+\label{section-pointsattime}
+
+The commands in this section allow you to specify points on a line or
+a curve. Imaging a point ``traveling'' along a curve from some point
+$p$ to another point $q$. At time $t=0$ the point is at $p$ and at
+time $t=1$ it is at $q$ and at time, say, $t=1/2$ it is ``somewhere in
+the middle.'' The exact location at time $t=1/2$ will not necessarily
+be the ``halfway point,'' that is, the point whose distance on the
+curve from $p$ and $q$ is equal. Rather, the exact location will
+depend on the ``speed'' 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 Bézier curves.
+
+
+
+\begin{command}{\pgfpointlineattime\marg{time $t$}\marg{point $p$}\marg{point $q$}}
+ Yields a point that is the $t$th fraction between $p$
+ and~$q$, that is, $p + t(q-p)$. For $t=1/2$ this is the middle of
+ $p$ and $q$.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{2cm}{2cm}}
+ \pgfusepath{stroke}
+ \foreach \t in {0,0.25,...,1.25}
+ {\pgftext[at=
+ \pgfpointlineattime{\t}{\pgfpointorigin}{\pgfpoint{2cm}{2cm}}]{\t}}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfpointlineatdistance\marg{distance}\marg{start point}\marg{end point}}
+ Yields a point that is located \meta{distance} 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 \meta{distance}
+ steps from \meta{start point} towards \meta{end point}.
+ \example
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathlineto{\pgfpoint{3cm}{2cm}}
+ \pgfusepath{stroke}
+ \foreach \d in {0pt,20pt,40pt,70pt}
+ {\pgftext[at=
+ \pgfpointlineatdistance{\d}{\pgfpointorigin}{\pgfpoint{3cm}{2cm}}]{\d}}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfpointcurveattime\marg{time $t$}\marg{point
+ $p$}\marg{point $s_1$}\marg{point $s_2$}\marg{point $q$}}
+ Yields a point that is on the Bézier curve from $p$ to $q$ with the
+ support points $s_1$ and $s_2$. The time $t$ is used to determine
+ the location, where $t=0$ yields $p$ and $t=1$ yields $q$.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathcurveto
+ {\pgfpoint{0cm}{2cm}}{\pgfpoint{0cm}{2cm}}{\pgfpoint{3cm}{2cm}}
+ \pgfusepath{stroke}
+ \foreach \t in {0,0.25,0.5,0.75,1}
+ {\pgftext[at=\pgfpointcurveattime{\t}{\pgfpointorigin}
+ {\pgfpoint{0cm}{2cm}}
+ {\pgfpoint{0cm}{2cm}}
+ {\pgfpoint{3cm}{2cm}}]{\t}}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\subsubsection{Points on Borders of Objects}
+
+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.
+
+\begin{command}{\pgfpointborderrectangle\marg{direction point}\marg{corner}}
+ This command returns a point that lies on the intersection of a line
+ starting at the origin and going towards the point \meta{direction
+ point} and a rectangle whose center is in the origin and whose
+ upper right corner is at \meta{corner}.
+
+ The \meta{direction point} should have length ``about 1pt,'' but it
+ will be normalized automatically. Nevertheless, the ``nearer'' the
+ length is to 1pt, the less rounding errors.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (2,1.5);
+ \pgfpathrectanglecorners{\pgfpoint{-1cm}{-1.25cm}}{\pgfpoint{1cm}{1.25cm}}
+ \pgfusepath{stroke}
+
+ \pgfpathcircle{\pgfpoint{5pt}{5pt}}{2pt}
+ \pgfpathcircle{\pgfpoint{-10pt}{5pt}}{2pt}
+ \pgfusepath{fill}
+ \color{red}
+ \pgfpathcircle{\pgfpointborderrectangle
+ {\pgfpoint{5pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}
+ \pgfpathcircle{\pgfpointborderrectangle
+ {\pgfpoint{-10pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}
+ \pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgfpointborderellipse\marg{direction point}\marg{corner}}
+ This command works like the corresponding command for rectangles,
+ only this time the \meta{corner} is the corner of the bounding
+ rectangle of an ellipse.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (2,1.5);
+ \pgfpathellipse{\pgfpointorigin}{\pgfpoint{1cm}{0cm}}{\pgfpoint{0cm}{1.25cm}}
+ \pgfusepath{stroke}
+
+ \pgfpathcircle{\pgfpoint{5pt}{5pt}}{2pt}
+ \pgfpathcircle{\pgfpoint{-10pt}{5pt}}{2pt}
+ \pgfusepath{fill}
+ \color{red}
+ \pgfpathcircle{\pgfpointborderellipse
+ {\pgfpoint{5pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}
+ \pgfpathcircle{\pgfpointborderellipse
+ {\pgfpoint{-10pt}{5pt}}{\pgfpoint{1cm}{1.25cm}}}{2pt}
+ \pgfusepath{fill}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\subsubsection{Points on the Intersection of Lines}
+
+
+\begin{command}{\pgfpointintersectionoflines\marg{$p$}\marg{$q$}\marg{$s$}\marg{$t$}}
+ This command returns the intersection of a line going through $p$
+ and $q$ and a line going through $s$ and $t$. If the lines do not
+ intersection, an arithmetic overflow will occur.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (2,2);
+ \draw (.5,0) -- (2,2);
+ \draw (1,2) -- (2,0);
+ \pgfpathcircle{%
+ \pgfpointintersectionoflines
+ {\pgfpointxy{.5}{0}}{\pgfpointxy{2}{2}}
+ {\pgfpointxy{1}{2}}{\pgfpointxy{2}{0}}}
+ {2pt}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\subsection{Extracting Coordinates}
+
+There are two commands that can be used to ``extract'' the $x$- or
+$y$-coordinate of a coordinate.
+
+\begin{command}{\pgfextractx\marg{dimension}\marg{point}}
+ Sets the \TeX-\meta{dimension} to the $x$-coordinate of the point.
+
+\begin{codeexample}[code only]
+\newdimen\mydim
+\pgfextractx{\mydim}{\pgfpoint{2cm}{4pt}}
+%% \mydim is now 2cm
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfextracty\marg{dimension}\marg{point}}
+ Like |\pgfextractx|, except for the $y$-coordinate.
+\end{command}
+
+
+
+
+\subsection{Internals of How Point Commands Work}
+
+As a normal user of \pgfname\ you do not need to read this section. It
+is relevant only if you need to understand how the point commands work
+internally.
+
+When a command like |\pgfpoint{1cm}{2pt}| is called, all that happens
+is that the two \TeX-dimension variables |\pgf@x| and |\pgf@y| are set
+to |1cm| and |2pt|, respectively. A command like |\pgfpathmoveto| that
+takes a coordinate as parameter will just execute this parameter and
+then use the values of |\pgf@x| and |\pgf@y| as the coordinates to
+which it will move the pen on the current path.
+
+since commands like |\pgfpointnormalised| modify other variables
+besides |\pgf@x| and |\pgf@y| during the computation of the final values of
+|\pgf@x| and |\pgf@y|, it is a good idea to enclose a call of a
+command like |\pgfpoint| in a \TeX-scope and then make the changes of
+|\pgf@x| and |\pgf@y| global as in the following example:
+\begin{codeexample}[code only]
+...
+{ % open scope
+ \pgfpointnormalised{\pgfpoint{1cm}{1cm}}
+ \global\pgf@x=\pgf@x % make the change of \pgf@x persist past the scope
+ \global\pgf@y=\pgf@y % make the change of \pgf@y persist past the scope
+}
+% \pgf@x and \pgf@y are now set correctly, all other variables are
+% unchanged
+\end{codeexample}
+
+\makeatletter
+Since this situation arises very often, the macro |\pgf@process| can
+be used to perform the above code:
+\begin{command}{\pgf@process\marg{code}}
+ Executes the \meta{code} in a scope and then makes |\pgf@x| and
+ |\pgf@y| global.
+\end{command}
+
+Note that this macro is used often internally. For this reason, it is
+not a good idea to keep anything important in the variables |\pgf@x|
+and |\pgf@y| since they will be overwritten and changed
+frequently. Instead, intermediate values can ge stored in the
+\TeX-dimensions |\pgf@xa|, |\pgf@xb|, |\pgf@xc| and their
+|y|-counterparts |\pgf@ya|, |\pgf@yb|, |pgf@yc|. For example, here is
+the code of the command |\pgfpointadd|:
+\begin{codeexample}[code only]
+\def\pgfpointadd#1#2{%
+ \pgf@process{#1}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{#2}%
+ \advance\pgf@x by\pgf@xa%
+ \advance\pgf@y by\pgf@ya}
+\end{codeexample}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
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
new file mode 100644
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--- /dev/null
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+% 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{Quick Commands}
+
+This section explains the ``quick'' commands of \pgfname. These
+commands are executed more quickly than the normal commands of
+\pgfname, 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.
+
+
+
+\subsection{Quick Path Construction Commands}
+
+The difference between the quick and the normal path commands is that
+the quick path commands
+\begin{itemize}
+\item
+ do not keep track of the bounding boxes,
+\item
+ do not allow you to arc corners,
+\item
+ do not apply coordinate transformations.
+\end{itemize}
+
+However, they do use the soft-path subsystem (see
+Section~\ref{section-soft-paths} for details), which allows you to mix
+quick and normal path commands arbitrarily.
+
+All quick path construction commands start with |\pgfpathq|.
+
+\begin{command}{\pgfpathqmoveto\marg{x dimension}\marg{y dimension}}
+ Either starts a path or starts a new part of a path at the coordinate
+ $(\meta{x dimension},\meta{y dimension})$. The coordinate is
+ \emph{not} transformed by the current coordinate transformation
+ matrix. However, any low-level transformations apply.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgftransformxshift{1cm}
+ \pgfpathqmoveto{0pt}{0pt} % not transformed
+ \pgfpathqlineto{1cm}{1cm} % not transformed
+ \pgfpathlineto{\pgfpoint{2cm}{0cm}}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfpathqlineto\marg{x dimension}\marg{y dimension}}
+ The quick version of the line-to operation.
+\end{command}
+
+\begin{command}{\pgfpathqcurveto\marg{$s^1_x$}\marg{$s^1_y$}\marg{$s^2_x$}\marg{$s^2_y$}\marg{$t_x$}\marg{$t_y$}}
+ The quick version of the curve-to operation. The first support point
+ is $(s^1_x,s^1_y)$, the second support point is $(s^2_x,s^2_y)$,
+ and the target is $(t_x,t_y)$.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathqmoveto{0pt}{0pt}
+ \pgfpathqcurveto{1cm}{1cm}{2cm}{1cm}{3cm}{0cm}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfpathqcircle\marg{radius}}
+ Adds a radius around the origin of the given \meta{radius}. This
+ command is orders of magnitude faster than
+ |\pgfcircle{\pgfpointorigin}{|\meta{radius}|}|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (1,1);
+ \pgfpathqcircle{10pt}
+ \pgfsetfillcolor{examplefill}
+ \pgfusepath{stroke,fill}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+
+\subsection{Quick Path Usage Commands}
+
+The quick path usage commands perform similar tasks as |\pgfusepath|,
+but they
+\begin{itemize}
+\item
+ do not add arrows,
+\item
+ do not modify the path in any way, in particular,
+\item
+ ends are not shortened,
+\item
+ corners are not replaced by arcs.
+\end{itemize}
+
+Note that you \emph{have to} use the quick versions in the code of
+arrow tip definitions since, inside these definition, you obviously do
+not want arrows to be drawn.
+
+\begin{command}{\pgfusepathqstroke}
+ Strokes the path without further ado. No arrows are drawn, no
+ corners are arced.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathqcircle{5pt}
+ \pgfusepathqstroke
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfusepathqfill}
+ Fills the path without further ado.
+\end{command}
+
+\begin{command}{\pgfusepathqfillstroke}
+ Fills and then strokes the path without further ado.
+\end{command}
+
+\begin{command}{\pgfusepathqclip}
+ Clips all subsequent drawings against the current path. The path is
+ not processed.
+\end{command}
+
+
+\subsection{Quick Text Box Commands}
+
+\begin{command}{\pgfqbox\marg{box number}}
+ This command inserts a \TeX\ box into a |{pgfpicture}| by
+ ``escaping'' to \TeX, inserting the box number \meta{box number} at
+ the origin, and then returning to the typesetting the picture.
+\end{command}
+
+\begin{command}{\pgfqboxsynced\marg{box number}}
+ This command works similarly to the |\pgfqbox| command. However,
+ before inserting the text in \meta{box number}, the current
+ coordinate transformation matrix is applied to the current canvas
+ transformation matrix (is it ``synced'' with this matrix, hence the
+ name).
+
+ Thus, this command basically has the same effect as if you first
+ called |\pgflowlevelsynccm| followed by |\pgfqbox|. However, this
+ command will use |\hskip| and |\raise| commands for the
+ ``translational part'' 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 \meta{box number} is translated where it should), but
+ the method used by |\pgfqboxsynced| ensures that hyperlinks are
+ placed correctly. Note that scaling and rotation will not (cannot,
+ even) apply to hyperlinks.
+\end{command}
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
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
new file mode 100644
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@@ -0,0 +1,601 @@
+% 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[Hierarchical Structures: Package, Environments, Scopes, and Text]
+{Hierarchical Structures:\\
+ Package, Environments, Scopes, and Text}
+
+
+\subsection{Overview}
+
+\pgfname\ 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, \pgfname\ allows you
+to structure your graphics hierarchically using environments and scopes.
+
+\subsubsection{The Hierarchical Structure of the Package}
+
+The \pgfname\ system consists of several layers:
+
+\begin{description}
+\item[System layer.]
+ The lowest layer is called the \emph{system layer}, though it might
+ also be called ``driver layer'' or perhaps ``backend layer.'' Its
+ job is to provide an abstraction of the details of which driver
+ is used to transform the |.dvi| file. The system layer is
+ implemented by the package |pgfsys|, which will load appropriate
+ driver files as needed.
+
+ The system layer is documented in Part~\ref{part-system}.
+\item[Basic layer.]
+ The basic layer is loaded by the package |pgf|. Some
+ applications do not need all of the functionality of the basic
+ layer, so it is possible to load only the |pgfcore| and some other
+ packages starting with |pgfbase|.
+
+ The basic layer is documented in the present part.
+\item[Frontend layer.]
+ The frontend layer is not loaded by a single packages. Rather,
+ different packages, like \tikzname\ or \textsc{pgfpict2e}, are
+ different frontends to the basic layer.
+
+ The \tikzname\ frontend is documented in Part~\ref{part-tikz}.
+\end{description}
+
+Each layer will automatically load the necessary files of the layers below
+it.
+
+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.
+
+The library packages are documented in Part~\ref{part-libraries}.
+
+
+
+
+\subsubsection{The Hierarchical Structure of Graphics}
+
+Graphics in \pgfname\ are typically structured
+hierarchically. Hierarchical structuring can be used to identify
+groups of graphical elements that are to be treated ``in the same
+way.'' 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.
+
+The general mechanism underlying hierarchical structuring is known as
+\emph{scoping} in computer science. The idea is that all changes to
+the general ``state'' 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.
+
+There are different ways of starting and ending scopes of graphic
+parameters. Unfortunately, these scopes are sometimes ``in conflict''
+with each other and it is sometimes not immediately clear which scopes
+apply. In essence, the following scoping mechanisms are available:
+
+\begin{enumerate}
+\item
+ The ``outermost'' scope supported by \pgfname\ is the |{pgfpicture}|
+ environment. All changes to the graphic state done inside a
+ |{pgfpicture}| are local to that picture.
+
+ In general, it is \emph{not} possible to set graphic parameters
+ globally outside any |{pgfpicture}| environments. Thus, you can
+ \emph{not} say |\pgfsetlinewidth{1pt}| 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 |{pgfpicture}|. (If
+ this is too bothersome, try defining some macro that does the job
+ for you.)
+\item
+ Inside a |{pgfpicture}| you can use a |{pgfscope}| environment to
+ keep changes of the graphic state local to that environment.
+
+ The effect of commands that change the graphic state are local to
+ the current |{pgfscope}| but not always to the current \TeX\
+ group. Thus, if you open a \TeX\ group (some text in curly braces)
+ inside a |{pgfscope}|, and if you change, for example, the dash
+ pattern, the effect of this changed dash pattern will persist till
+ the end of the |{pgfscope}|.
+
+ Unfortunately, this is not always the case. \emph{Some} graphic
+ parameters only persist till the end of the current \TeX\ group. For
+ example, when you use |\pgfsetarrows| to set the arrow tip
+ inside a \TeX\ group, the effect lasts only till the end of the
+ current \TeX\ group.
+\item
+ Some graphic parameters are not scoped by |{pgfscope}| but
+ ``already'' by \TeX\ groups. For example, the effect of coordinate
+ transformation commands is always local to the current \TeX\
+ group.
+
+ Since every |{pgfscope}| automatically creates a \TeX\ group, all
+ graphic parameters that are local to the current \TeX\ group are
+ also local to the current |{pgfscope}|.
+\item
+ Some graphic parameters can only be scoped using \TeX\ groups, since
+ in some situations it is not possible to introduce a
+ |{pgfscope}|. For example, a path always has to be completely
+ constructed and used in the same |{pgfscope}|. However, we might
+ wish to have different coordinate transformations apply to different
+ points on the path. In this case, we can use \TeX\ groups to keep
+ the effect local, but we could not use |{pgfscope}|.
+\item
+ The |\pgftext| command can be used to create a scope in which \TeX\
+ ``escapes back'' to normal \TeX\ mode. The text passed to the
+ |\pgftext| is ``heavily guarded'' against having any effect on the
+ scope in which it is used. For example, it is possibly to use
+ another |{pgfpicture}| environment inside the argument of
+ |\pgftext|.
+\end{enumerate}
+
+
+Most of the complications can be avoided if you stick to the following
+rules:
+
+\begin{itemize}
+\item
+ Give graphic commands only inside |{pgfpicture}| environments.
+\item
+ Use |{pgfscope}| to structure graphics.
+\item
+ Do not use \TeX\ groups inside graphics, \emph{except} for keeping
+ the effect of coordinate transformations local.
+\end{itemize}
+
+
+
+\subsection{The Hierarchical Structure of the Package}
+
+Before we come to the structuring commands provided by \pgfname\ to
+structure your graphics, let us first have a look at the structure of
+the package itself.
+
+\subsubsection{The Main Package}
+
+To use \pgfname, include the following package:
+
+\begin{package}{pgf}
+ This package loads the complete ``basic layer'' of \pgfname. That
+ is, it will load all of the commands described in the current part
+ of this manual, but it will not load frontends like \tikzname.
+
+ In detail, this package will load the following packages, each of
+ which can also be loaded individually:
+ \begin{itemize}
+ \item
+ |pgfsys|, which is the lowest layer of \pgfname\ and which is
+ always needed. This file will read |pgf.cfg| to discern which
+ driver is to be used. See Section~\ref{section-pgfsys} for
+ details.
+ \item
+ |pgfcore|, which is the central core of \pgfname\ and which is
+ always needed unless you intend to write a new basic layer from
+ scratch.
+ \item
+ |pgfbaseimage|, which provides commands for declaring and
+ using images. An example is |\pgfuseimage|.
+ \item
+ |pgfbaseshapes|, which provides commands for declaring and using
+ shapes. An example is |\pgfdeclareshape|.
+ \item
+ |pgfbaseplot|, which provides commands for plotting functions.
+ \end{itemize}
+
+ Including any of the last three packages will automatically load the
+ first two.
+\end{package}
+
+In \LaTeX, the package takes two options:
+\begin{packageoption}{draft}
+ When this option is set, all images will be replaced by empty
+ rectangles. This can speedup compilation.
+\end{packageoption}
+
+\begin{packageoption}{version=\meta{version}}
+ Indicates that the commands of version \meta{version} need to be
+ defined. If you set \meta{version} to |0.65|, then a large bunch of
+ ``compatibility commands'' are loaded. If you set \meta{version} to
+ |0.96|, then these compatibility commands will not be loaded.
+
+ If this option is not given at all, then the commands of all
+ versions are defined.
+\end{packageoption}
+
+
+\subsubsection{The Core Package}
+
+\begin{package}{pgfcore}
+ This package defines all of the basic layer's commands, except for
+ the commands defined in the additional packages like
+ |pgfbaseplot|. Typically commands defined by the core include
+ |\pgfusepath| or |\pgfpoint|. The core is internally structured
+ into several subpackages, but the subpackages cannot be loaded
+ individually since they are all ``interrelated.''
+\end{package}
+
+
+\subsubsection{The Optional Basic Layer Packages}
+
+The |pgf| package automatically loads the following packages, but you
+can also load them individually (all of them automatically include the
+core):
+
+\begin{itemize}
+ \item |pgfbaseshapes|
+ This package provides commands for drawing nodes and shapes. These
+ commands are explained in Section~\ref{section-shapes}.
+
+ \item |pgfbaseplot|
+ This package provides commands for plotting function. The
+ commands are explained in Section~\ref{section-plots}.
+
+ \item |pgfbaseimage|
+ This package provides commands for including (external) images. The
+ commands are explained in Section~\ref{section-images}.
+\end{itemize}
+
+
+
+
+
+\subsection{The Hierarchical Structure of the Graphics}
+
+\subsubsection{The Main Environment}
+
+
+Most, but not all, commands of the \pgfname\ package must be given
+within a |{pgfpicture}| environment. The only commands that (must) be
+given outside are commands having to do with including images (like
+|\pgfuseimage|) and with inserting complete shadings (like
+|\pgfuseshading|). However, just to keep life entertaining, the
+|\pgfshadepath| command must be given \emph{inside} a |{pgfpicture}|
+environment.
+
+\begin{environment}{{pgfpicture}}
+ This environment will insert a \TeX\ box containing the graphic drawn by
+ the \meta{environment contents} at the current position.
+
+ \medskip
+ \textbf{The size of the bounding box.}
+ The size of the box is determined in the following
+ manner: While \pgfname\ parses the \meta{environment contents}, 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 ``mentioned'' by
+ \pgfname\ itself; for example, when you add circle to the current
+ path, the support points of the curve making up the circle are also
+ ``mentioned'' despite the fact that you will not ``see'' them in
+ your code.
+
+ Once the \meta{environment contents} has been parsed completely, a
+ \TeX\ box is created whose size is the size of the computed bounding
+ box and this box is inserted at the current position.
+
+\begin{codeexample}[]
+Hello \begin{pgfpicture}
+ \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}
+ \pgfusepath{stroke}
+\end{pgfpicture} World!
+\end{codeexample}
+
+ 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 ``too small.'' In
+ these cases, you can use the command
+ |\pgfusepath{use as bounding box}|, as described in
+ Section~\ref{section-using-bb}.
+
+
+ \medskip
+ \textbf{The baseline of the bounding box.}
+ 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
+ ``higher'' coordinates than the first:
+
+\begin{codeexample}[]
+Rectangles \begin{pgfpicture}
+ \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}
+ \pgfusepath{stroke}
+\end{pgfpicture} and \begin{pgfpicture}
+ \pgfpathrectangle{\pgfpoint{0ex}{1ex}}{\pgfpoint{2ex}{1ex}}
+ \pgfusepath{stroke}
+\end{pgfpicture}.
+\end{codeexample}
+
+ You can change the baseline using the |\pgfsetbaseline| command, see
+ below.
+
+\begin{codeexample}[]
+Rectangles \begin{pgfpicture}
+ \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{1ex}}
+ \pgfusepath{stroke}
+ \pgfsetbaseline{0pt}
+\end{pgfpicture} and \begin{pgfpicture}
+ \pgfpathrectangle{\pgfpoint{0ex}{1ex}}{\pgfpoint{2ex}{1ex}}
+ \pgfusepath{stroke}
+ \pgfsetbaseline{0pt}
+\end{pgfpicture}.
+\end{codeexample}
+
+ \medskip
+ \textbf{Including text and images in a picture.}
+ You cannot directly include text and images in a picture. Thus, you
+ should \emph{not} simply write some text in a |{pgfpicture}| or use
+ a command like |\includegraphics| or even |\pgfimage|. In all these
+ 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.
+\end{environment}
+
+\begin{plainenvironment}{{pgfpicture}}
+ The plain \TeX\ version of the environment. Note that in this
+ version, also, a \TeX\ group is created around the environment.
+\end{plainenvironment}
+
+\makeatletter
+\begin{command}{\pgfsetbaseline\marg{dimension}}
+ This command specifies a $y$-coordinate of the picture that should
+ be used as the baseline of the whole picture. When a \pgfname\
+ picture has been typeset completely, \pgfname\ must decide at which
+ height the baseline of the picture should lie. Normally, the
+ baseline is set to the $y$-coordinate of the bottom of the picture,
+ but it is often desirable to use another height.
+
+\begin{codeexample}[]
+Text \tikz{\pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}},
+ \tikz{\pgfsetbaseline{0pt}
+ \pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}},
+ \tikz{\pgfsetbaseline{.5ex}
+ \pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}},
+ \tikz{\pgfsetbaseline{-1ex}
+ \pgfpathcircle{\pgfpointorigin}{1ex}\pgfusepath{stroke}}.
+\end{codeexample}
+\end{command}
+
+\subsubsection{Graphic Scope Environments}
+
+Inside a |{pgfpicture}| environment you can substructure your picture
+using the following environment:
+
+\begin{environment}{{pgfscope}}
+ All changes to the graphic state done inside this environment are
+ local to the environment. The graphic state includes the following:
+ \begin{itemize}
+ \item
+ The line width.
+ \item
+ The stroke and fill colors.
+ \item
+ The dash pattern.
+ \item
+ The line join and cap.
+ \item
+ The miter limit.
+ \item
+ The canvas transformation matrix.
+ \item
+ The clipping path.
+ \end{itemize}
+ Other parameters may also influence how graphics are rendered, but they
+ are \emph{not} 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 \TeX\ group, not
+ to the current |{pgfscope}|. However, since |{pgfscope}| starts and
+ ends a \TeX\ group automatically, a |{pgfscope}| can be used to
+ limit the effect of, say, commands that set the arrow tip kind.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \begin{pgfscope}
+ {
+ \pgfsetlinewidth{2pt}
+ \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2ex}{2ex}}
+ \pgfusepath{stroke}
+ }
+ \pgfpathrectangle{\pgfpoint{3ex}{0ex}}{\pgfpoint{2ex}{2ex}}
+ \pgfusepath{stroke}
+ \end{pgfscope}
+ \pgfpathrectangle{\pgfpoint{6ex}{0ex}}{\pgfpoint{2ex}{2ex}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \begin{pgfscope}
+ {
+ \pgfsetarrows{-to}
+ \pgfpathmoveto{\pgfpointorigin}\pgfpathlineto{\pgfpoint{2ex}{2ex}}
+ \pgfusepath{stroke}
+ }
+ \pgfpathmoveto{\pgfpoint{3ex}{0ex}}\pgfpathlineto{\pgfpoint{5ex}{2ex}}
+ \pgfusepath{stroke}
+ \end{pgfscope}
+ \pgfpathmoveto{\pgfpoint{6ex}{0ex}}\pgfpathlineto{\pgfpoint{8ex}{2ex}}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+
+ At the start of the scope, the current path must be empty, that is,
+ you cannot open a scope while constructing a path.
+
+ It is usually a good idea \emph{not} to introduce \TeX\ groups
+ inside a |{pgfscope}| environment.
+\end{environment}
+
+\begin{plainenvironment}{{pgfscope}}
+ Plain \TeX\ version of the |{pgfscope}| environment.
+\end{plainenvironment}
+
+
+The following scopes also encapsulate certain properties of the
+graphic state. However, they are typically not used directly by the
+user.
+
+\begin{environment}{{pgfinterruptpath}}
+ 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 ``stored away'' and restored at
+ the end of the environment. Inside the environment you can construct
+ a new path and do something with it.
+
+ An example application of this environment is the arrow tip
+ caching. Suppose you ask \pgfname\ to use a specific arrow tip
+ kind. When the arrow tip needs to be rendered for the first time,
+ \pgfname\ will ``cache'' 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 |{pgfinterruptpath}| environment is
+ used to ensure that this does not interfere with the path to which
+ the arrow tips should be attached.
+
+ This command does \emph{not} install a |{pgfscope}|. In particular,
+ it does not call any |\pgfsys@| commands at all, which would,
+ indeed, be dangerous in the middle of a path construction.
+\end{environment}
+
+\begin{environment}{{pgfinterruptpicture}}
+ This environment can be used to temporarily interrupt a
+ |{pgfpicture}|. However, the environment is intended only to be used
+ at the beginning and end of a box that is (later) inserted into a
+ |{pgfpicture}| using |\pgfqbox|. You cannot use this environment
+ directly inside a |{pgfpicture}|.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfpathmoveto{\pgfpoint{0cm}{0cm}} % In the middle of path, now
+ \newbox\mybox
+ \setbox\mybox=\hbox{
+ \begin{pgfinterruptpicture}
+ Sub-\begin{pgfpicture} % a subpicture
+ \pgfpathmoveto{\pgfpoint{1cm}{0cm}}
+ \pgfpathlineto{\pgfpoint{1cm}{1cm}}
+ \pgfusepath{stroke}
+ \end{pgfpicture}-picture.
+ \end{pgfinterruptpicture}
+ }
+ \pgfqbox{\mybox}%
+ \pgfpathlineto{\pgfpoint{0cm}{1cm}}
+ \pgfusepath{stroke}
+\end{pgfpicture}\hskip3.9cm
+\end{codeexample}
+\end{environment}
+
+
+\subsubsection{Inserting Text and Images}
+
+\label{section-text-command}
+
+Often, you may wish to add normal \TeX\ text at a certain point inside
+a |{pgfpicture}|. You cannot do so ``directly,'' that is, you cannot
+simply write this text inside the |{pgfpicture}| environment. Rather,
+you must pass the text as an argument to the |\pgftext| command.
+
+You must \emph{also} use the |\pgftext| command to insert an image or
+a shading into a |{pgfpicture}|.
+
+\begin{command}{\pgftext\opt{\oarg{options}}\marg{text}}
+ This command will typeset \meta{text} in normal \TeX\ mode and
+ insert the resulting box into the |{pgfpicture}|. 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 \meta{options} or by
+ applying an appropriate coordinate transformation beforehand.
+
+ The \meta{text} may contain verbatim text. (In other words, the
+ \meta{text} ``argument'' is not a normal argument, but is put in a
+ box and some |\aftergroup| hackery is used to find the end of the
+ box.)
+
+ \pgfname'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 \meta{text}
+ 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.
+
+ The following \meta{options} may be given as conveniences:
+ \begin{itemize}
+ \itemoption{left}
+ causes the text box to be placed such that its left border is on the origin.
+\begin{codeexample}[]
+\tikz{\draw[help lines] (-1,-.5) grid (1,.5);
+ \pgftext[left] {lovely}}
+\end{codeexample}
+ \itemoption{right}
+ causes the text box to be placed such that its right border is on the origin.
+\begin{codeexample}[]
+\tikz{\draw[help lines] (-1,-.5) grid (1,.5);
+ \pgftext[right] {lovely}}
+\end{codeexample}
+ \itemoption{top}
+ causes the text box to be placed such that its top is on the
+ origin. This option can be used together with the |left| or
+ |right| option.
+\begin{codeexample}[]
+\tikz{\draw[help lines] (-1,-.5) grid (1,.5);
+ \pgftext[top] {lovely}}
+\end{codeexample}
+\begin{codeexample}[]
+\tikz{\draw[help lines] (-1,-.5) grid (1,.5);
+ \pgftext[top,right] {lovely}}
+\end{codeexample}
+ \itemoption{bottom}
+ causes the text box to be placed such that its bottom is on the
+ origin.
+\begin{codeexample}[]
+\tikz{\draw[help lines] (-1,-.5) grid (1,.5);
+ \pgftext[bottom] {lovely}}
+\end{codeexample}
+\begin{codeexample}[]
+\tikz{\draw[help lines] (-1,-.5) grid (1,.5);
+ \pgftext[bottom,right] {lovely}}
+\end{codeexample}
+ \itemoption{base}
+ causes the text box to be placed such that its baseline is on the
+ origin.
+\begin{codeexample}[]
+\tikz{\draw[help lines] (-1,-.5) grid (1,.5);
+ \pgftext[base] {lovely}}
+\end{codeexample}
+\begin{codeexample}[]
+\tikz{\draw[help lines] (-1,-.5) grid (1,.5);
+ \pgftext[base,right] {lovely}}
+\end{codeexample}
+ \itemoption{at}|=|\meta{point}
+ Translates the origin (that is, the point where the text is
+ shown) to \meta{point}.
+\begin{codeexample}[]
+\tikz{\draw[help lines] (-1,-.5) grid (1,.5);
+ \pgftext[base,at={\pgfpoint{1cm}{0cm}}] {lovely}}
+\end{codeexample}
+ \itemoption{x}|=|\meta{dimension}
+ Translates the origin by \meta{dimension} along the $x$-axis.
+\begin{codeexample}[]
+\tikz{\draw[help lines] (-1,-.5) grid (1,.5);
+ \pgftext[base,x=1cm,y=-0.5cm] {lovely}}
+\end{codeexample}
+ \itemoption{y}|=|\meta{dimension}
+ works like the |x| option.
+ \itemoption{rotate}|=|\meta{degree}
+ Rotates the coordinate system by \meta{degree}. This will also
+ rotate the text box.
+\begin{codeexample}[]
+\tikz{\draw[help lines] (-1,-.5) grid (1,.5);
+ \pgftext[base,x=1cm,y=-0.5cm,rotate=30] {lovely}}
+\end{codeexample}
+ \end{itemize}
+
+\end{command}
+
+
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
new file mode 100644
index 00000000000..873d9a823ff
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-shadings.tex
@@ -0,0 +1,326 @@
+% 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{Declaring and Using Shadings}
+
+\label{section-shadings}
+
+\subsection{Overview}
+
+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
+\TeX-box. Hence, in order to include a shading in a |{pgfpicture}|,
+you have to use |\pgftext| around it.
+
+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.
+
+Once you have declared a shading, you can insert it into text using
+the command |\pgfuseshading|. This command cannot be used directly in
+a |{pgfpicture}|, you have to put a |\pgftext| around it. The second
+command for using shadings, |\pgfshadepath|, on the other hand, can
+only be used inside |{pgfpicture}| environments. It will ``fill'' the
+current path with the shading.
+
+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:
+\begin{codeexample}[code only]
+rgb(0cm)=(1,0,0); rgb(2cm)=(0,1,0); rgb(4cm)=(0,0,1)
+\end{codeexample}
+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 |rgb|, you can currently also specify |gray| as
+color model, in which case only one value is needed, or |color|,
+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.
+
+\subsection{Declaring Shadings}
+
+\begin{command}{\pgfdeclarehorizontalshading\oarg{color list}\marg{shading
+ name}\marg{shading height}\marg{color specification}}
+ Declares a horizontal shading named \meta{shading name} of the specified
+ \meta{height} with the specified colors. The length of the bar is
+ deduced automatically from the maximum dimension in the specification.
+
+\begin{codeexample}[]
+\pgfdeclarehorizontalshading{myshadingA}
+ {1cm}{rgb(0cm)=(1,0,0); color(2cm)=(green); color(4cm)=(blue)}
+\pgfuseshading{myshadingA}
+\end{codeexample}
+
+ The effect of the \meta{color list}, 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
+ ``frozen.'' 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 \meta{color list} 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 \meta{color list},
+ whenever the shading is used, \pgfname\ first converts the colors in the
+ list to \textsc{rgb} triples using the current values of the
+ colors and taking any mixins and blends into account. If the
+ resulting \textsc{rgb} triples have not yet been used, a new
+ shading is internally created and used. Note that if the
+ option \meta{color list} is used, then no shading is created until
+ the first use of |\pgfuseshading|. In particular, the colors
+ mentioned in the shading need not be defined when the declaration is
+ given.
+
+ When a shading is recalculated because of a change in the
+ colors mentioned in \meta{color list}, 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.
+
+\begin{codeexample}[]
+\pgfdeclarehorizontalshading[mycolor]{myshadingB}
+ {1cm}{rgb(0cm)=(1,0,0); color(2cm)=(mycolor)}
+\colorlet{mycolor}{green}
+\pgfuseshading{myshadingB}
+\colorlet{mycolor}{blue}
+\pgfuseshading{myshadingB}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgfdeclareverticalshading\oarg{color list}\marg{shading
+ name}\marg{shading width}\marg{color specification}}
+ Declares a vertical shading named \meta{shading name} of the
+ specified \meta{width}. The height of the bar is deduced
+ automatically. The effect of \meta{color list} is the same as for
+ horizontal shadings.
+
+\begin{codeexample}[]
+\pgfdeclareverticalshading{myshadingC}
+ {4cm}{rgb(0cm)=(1,0,0); rgb(1.5cm)=(0,1,0); rgb(2cm)=(0,0,1)}
+\pgfuseshading{myshadingC}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgfdeclareradialshading\oarg{color list}\marg{shading
+ name}\marg{center point}\marg{color specification}}
+ 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 \meta{color specified}. This maximum will also be the radius of
+ the circle. If the \meta{center point} 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 \meta{color list} is
+ the same as for horizontal shadings.
+
+\begin{codeexample}[]
+\pgfdeclareradialshading{sphere}{\pgfpoint{0.5cm}{0.5cm}}%
+ {rgb(0cm)=(0.9,0,0);
+ rgb(0.7cm)=(0.7,0,0);
+ rgb(1cm)=(0.5,0,0);
+ rgb(1.05cm)=(1,1,1)}
+\pgfuseshading{sphere}
+\end{codeexample}
+\end{command}
+
+
+\subsection{Using Shadings}
+\label{section-shading-a-path}
+
+\begin{command}{\pgfuseshading\marg{shading name}}
+ Inserts a previously declared shading into the text. If you wish to
+ use it in a |pgfpicture| environment, you should put a |\pgfbox|
+ around it.
+
+\begin{codeexample}[]
+\begin{pgfpicture}
+ \pgfdeclareverticalshading{myshadingD}
+ {20pt}{color(0pt)=(red); color(20pt)=(blue)}
+ \pgftext[at=\pgfpoint{1cm}{0cm}] {\pgfuseshading{myshadingD}}
+ \pgftext[at=\pgfpoint{2cm}{0.5cm}]{\pgfuseshading{myshadingD}}
+\end{pgfpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfshadepath\marg{shading name}\marg{angle}}
+ This command must be used inside a |{pgfpicture}| environment. The
+ effect is a bit complex, so let us go over it step by step.
+
+ First, \pgfname\ will setup a local scope.
+
+ 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.
+
+ Now, the \meta{shading name} should be a shading whose width and
+ height are 100\,bp, that is, 100 big points. \pgfname\ 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.
+
+ 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 ``covers'' the shading (the
+ details are a bit more complex, see below). Finally, the coordinate
+ system is rotated by \meta{angle}.
+
+ 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 ``fill'' the path.
+
+ 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 ``magnified'' so that it
+ still covers the path. Things get worse when the path is not a
+ rectangle itself.
+
+ For these reasons, things work slightly differently ``in reality.''
+ The shading is scaled and translated such that the
+ the point $(50\mathrm{bp},50\mathrm{bp})$, which is the middle of
+ the shading, is at the middle of the path and such that the the
+ point $(25\mathrm{bp},25\mathrm{bp})$ is at the lower left corner of
+ the path and that $(75\mathrm{bp},75\mathrm{bp})$ is at upper
+ right corner.
+
+ In other words, only the center quarter of the shading will actually
+ ``survive the clipping'' 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:
+
+\begin{codeexample}[]
+\pgfdeclareverticalshading{myshadingE}{100bp}
+ {color(0bp)=(red); color(25bp)=(green); color(75bp)=(blue); color(100bp)=(black)}
+\pgfuseshading{myshadingE}
+\hskip 1cm
+\begin{pgfpicture}
+ \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}
+ \pgfshadepath{myshadingE}{0}
+ \pgfusepath{stroke}
+ \pgfpathrectangle{\pgfpoint{3cm}{0cm}}{\pgfpoint{1cm}{2cm}}
+ \pgfshadepath{myshadingE}{0}
+ \pgfusepath{stroke}
+ \pgfpathrectangle{\pgfpoint{5cm}{0cm}}{\pgfpoint{2cm}{2cm}}
+ \pgfshadepath{myshadingE}{45}
+ \pgfusepath{stroke}
+ \pgfpathcircle{\pgfpoint{9cm}{1cm}}{1cm}
+ \pgfshadepath{myshadingE}{45}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+
+ As can be seen above in the last case, the ``hidden'' part of the
+ shading actually \emph{can} 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.
+
+ The following graphics show which part of the shading are actually
+ shown:
+
+\begin{codeexample}[]
+\pgfdeclareverticalshading{myshadingF}{100bp}
+ {color(0bp)=(red); color(25bp)=(green); color(75bp)=(blue); color(100bp)=(black)}
+\begin{tikzpicture}
+ \draw (50bp,50bp) node {\pgfuseshading{myshadingF}};
+ \draw[white,thick] (25bp,25bp) rectangle (75bp,75bp);
+ \draw (50bp,0bp) node[below] {first two applications};
+
+ \begin{scope}[xshift=5cm]
+ \draw (50bp,50bp) node{\pgfuseshading{myshadingF}};
+ \draw[rotate around={45:(50bp,50bp)},white,thick] (25bp,25bp) rectangle (75bp,75bp);
+ \draw (50bp,0bp) node[below] {third application};
+ \end{scope}
+
+ \begin{scope}[xshift=10cm]
+ \draw (50bp,50bp) node{\pgfuseshading{myshadingF}};
+ \draw[white,thick] (50bp,50bp) circle (25bp);
+ \draw (50bp,0bp) node[below] {fourth application};
+ \end{scope}
+\end{tikzpicture}
+\end{codeexample}
+
+ An advantage of this approach is that when you rotate a radial
+ shading, no distortion is introduced:
+
+\begin{codeexample}[]
+\pgfdeclareradialshading{ballshading}{\pgfpoint{-10bp}{10bp}}
+ {color(0bp)=(red!15!white); color(9bp)=(red!75!white);
+ color(18bp)=(red!70!black); color(25bp)=(red!50!black); color(50bp)=(black)}
+\pgfuseshading{ballshading}
+\hskip 1cm
+\begin{pgfpicture}
+ \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{1cm}{1cm}}
+ \pgfshadepath{ballshading}{0}
+ \pgfusepath{}
+ \pgfpathcircle{\pgfpoint{3cm}{0cm}}{1cm}
+ \pgfshadepath{ballshading}{0}
+ \pgfusepath{}
+ \pgfpathcircle{\pgfpoint{6cm}{0cm}}{1cm}
+ \pgfshadepath{ballshading}{45}
+ \pgfusepath{}
+\end{pgfpicture}
+\end{codeexample}
+
+ If you specify a rotation of $90^\circ$
+ and if the path is not a square, but an elongated rectangle, the
+ ``desired'' effect results: The shading will exactly vary between
+ the colors at the 25bp and 75bp boundaries. Here is an example:
+
+\begin{codeexample}[]
+\pgfdeclareverticalshading{myshadingG}{100bp}
+ {color(0bp)=(red); color(25bp)=(green); color(75bp)=(blue); color(100bp)=(black)}
+\begin{pgfpicture}
+ \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}
+ \pgfshadepath{myshadingG}{0}
+ \pgfusepath{stroke}
+ \pgfpathrectangle{\pgfpoint{3cm}{0cm}}{\pgfpoint{2cm}{1cm}}
+ \pgfshadepath{myshadingG}{90}
+ \pgfusepath{stroke}
+ \pgfpathrectangle{\pgfpoint{6cm}{0cm}}{\pgfpoint{2cm}{1cm}}
+ \pgfshadepath{myshadingG}{45}
+ \pgfusepath{stroke}
+\end{pgfpicture}
+\end{codeexample}
+
+
+ As a final example, let us define a ``rainbow spectrum'' shading for
+ use with \tikzname.
+\begin{codeexample}[]
+\pgfdeclareverticalshading{rainbow}{100bp}
+ {color(0bp)=(red); color(25bp)=(red); color(35bp)=(yellow);
+ color(45bp)=(green); color(55bp)=(cyan); color(65bp)=(blue);
+ color(75bp)=(violet); color(100bp)=(violet)}
+\begin{tikzpicture}[shading=rainbow]
+ \shade (0,0) rectangle node[white] {\textsc{pride}} (2,1);
+ \shade[shading angle=90] (3,0) rectangle +(1,2);
+\end{tikzpicture}
+\end{codeexample}
+
+ Note that rainbow shadings are \emph{way} to colorful in almost all
+ applications.
+\end{command}
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
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
new file mode 100644
index 00000000000..6c23140fbe7
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-snakes.tex
@@ -0,0 +1,391 @@
+% 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{Snakes}
+
+\label{section-base-snakes}
+
+\subsection{Overview}
+
+A \emph{snake} is a ``way of adding a winding line to a path.'' To be
+a bit more precise, you use snakes to extend the path and the
+commands for using snakes start with |\pgfpath|. 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.
+
+As an example, let us consider a simple snake like the |zigzag|
+snake. It looks like this:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[snake=zigzag] (0,0) -- (3,0);
+ \draw[snake=zigzag] (0,-.5) -- (3,-1);
+\end{tikzpicture}
+\end{codeexample}
+
+The above example demonstrates the two key features of snakes:
+\begin{enumerate}
+\item
+ Snakes are made up from little segments that are repeated several
+ times. For the |zigzag| snake these segements look like this:
+ \tikz{\draw[snake=zigzag] (0,0) -- (\pgfsnakesegmentlength+0.1pt,0pt);}.
+\item
+ Snakes ``follow along a straight to the target point.'' Thus, when
+ the target point is not to the right of the start point, the snake
+ is rotated appropriately.
+\end{enumerate}
+
+
+In order to use snakes, they first have to be \emph{declared}. 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.
+
+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.
+
+
+\subsection{Declaring a Snake}
+
+
+\subsubsection{Segments}
+
+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 $(+\infty,0)$ and as if the segment's start where at the
+origin. Thus, for example, the segment of the |zigzag| might be
+defined using the following code:
+\begin{codeexample}[code only]
+\pgfpathlineto{\pgfpoint{5pt}{5pt}}
+\pgfpathlineto{\pgfpoint{15pt}{-5pt}}
+\pgfpathlineto{\pgfpoint{20pt}{0pt}}
+\end{codeexample}
+
+\pgfname\ 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
+``further along the line'' toward the target. All transformations
+are setup automatically.
+
+Note that we did not use a |\pgfpathmoveto{\pgfpointorigin}| 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.
+
+While we can now describe segments, we still need a way to ``stop''
+the snake. Also, \pgfname\ 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, \pgfname\ does not do so and you have to provide the
+information ``by hand'' for each segment.
+
+
+\subsubsection{Snake Automata}
+
+Up to now our snakes only have one segment that is repeated again and
+again. However, we might also like to have \emph{different} 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.
+
+For snakes we use a mechanism known in computer science as
+\emph{finite automata} 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 \emph{state} called the \emph{initial state}. In
+this state, and also in all other state later, \pgfname\ first
+computes how much space is left on the snake. That is, \pgfname\ keeps
+track of the distance to the target. Attached to each state there is a
+set of rules of the following form: ``If the remaining distance is
+less than $x$, switch to state~$q$.'' \pgfname\ checks for each of
+these rules whether it applies and, if so, immediately switches to
+state~$q$.
+
+Only if none of the rules tell us to switch to another
+state, \pgfname\ will execute the state'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. \pgfname\ then translates the
+coordinate system by this width and reduces the remaining distance.
+Then, \pgfname\ either stays in the current state or switches to
+another state, depending on yet another property attached of the
+state.
+
+The whole process stops when a special state called |final| is
+reached. The segment of this state is added to the path immediately
+(it is often empty, though) and the process ends.
+
+\subsubsection{The Snake Declaration Command}
+
+\begin{command}{\pgfdeclaresnake\marg{name}\marg{initial
+ state}\marg{states}}
+ This command declares a new snake called \meta{name}. The
+ \meta{states} argument contains a description of the snake
+ automaton's states and the transitions between them. The
+ \meta{initial state} is the state in which the automaton starts.
+
+ The \meta{states} argument should consist of |\state| commands, one
+ for each state of the snake automaton. The |\state| command is
+ defined only when the \meta{states} argument is executed.
+
+\begin{codeexample}[]
+\pgfdeclaresnake{example snake}{initial}
+{
+ \state{initial}[width=10pt]
+ {
+ \pgfpathlineto{\pgfpoint{0pt}{5pt}}
+ \pgfpathlineto{\pgfpoint{5pt}{5pt}}
+ \pgfpathlineto{\pgfpoint{5pt}{-5pt}}
+ \pgfpathlineto{\pgfpoint{10pt}{-5pt}}
+ \pgfpathlineto{\pgfpoint{10pt}{0pt}}
+ }
+ \state{final}
+ {
+ \pgfpathlineto{\pgfpoint{\pgfsnakeremainingdistance}{0pt}}
+ }
+}
+\tikz{\draw[snake=example snake] (0,0) -- (3,0);
+ \draw[snake=example snake] (0,-1) -- (3,-3);}
+\end{codeexample}
+
+ The |\state| command works as follows:
+ \begin{command}{\state\marg{name}\oarg{options}\marg{code}}
+ This command declares a new state inside the current snake
+ automaton. The state is names \meta{name}.
+
+ When \pgfname\ is in state \meta{name}, the following things
+ happen:
+ \begin{enumerate}
+ \item
+ The \meta{options} are parsed. This may lead, see below, to a
+ state switch. When this happens, the following steps are not
+ executed. The \meta{options} 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.
+ \item
+ The \meta{code} 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 ``east.''
+ \item
+ After the \meta{code} has been executed, the state switches to
+ whatever state has been specified inside the \meta{options}
+ using the |next state| option. If no |next state| has been
+ specified, the state stays the same.
+ \end{enumerate}
+
+ The following options are allowed inside the \meta{options}:
+ \begin{itemize}
+ \itemoption{switch if less than}|=|\meta{dimension}| to |\meta{new state}
+ When this option is encountered, \pgfname\ checks whether the
+ remaining distance to the target is less than
+ \meta{dimension}. If so, an immediate state switch to \meta{new
+ state} occurs.
+ \itemoption{width}|=|\meta{dimension}
+ This option tells \pgfname\ the width of the segment if it is
+ appended to the path. The coordinate system will, afterward, be
+ translated by \meta{dimension} to ensure that the next segment
+ starts where the current one ended.
+
+ In addition, this option will cause an immediate switch to the
+ state |final| if the remaining distance is less than
+ \meta{dimension}. The effect is the same as if you had said
+ |switch if less than=|\meta{dimension}| to final| just before
+ the |width| option.
+ \itemoption{next state}=\meta{new state}
+ After the segment has been added to the path, a state switch to
+ \meta{new state} is performed. If this option is not given, the
+ next state is the same as the current state.
+ \end{itemize}
+
+ There are two dimensions that are useful inside snake automata:
+ \begin{command}{\pgfsnakeremainingdistance}
+ This \TeX\ dimension holds the remaining distance to the target.
+ \end{command}
+ \begin{command}{\pgfsnakecompleteddistance}
+ This \TeX\ dimension holds the distance already completed on the
+ snake.
+ \end{command}
+ \end{command}
+
+ As a final example we present a more complicated snake that makes
+ use of the different options:
+\begin{codeexample}[]
+\pgfdeclaresnake{complicated example snake}{initial}
+{
+ \state{initial}[width=5pt,next state=up]
+ { \pgfpathlineto{\pgfpoint{5pt}{0pt}} }
+
+ \state{up}[width=5pt,next state=down]
+ {
+ \ifdim\pgfsnakeremainingdistance>\pgfsnakecompleteddistance
+ % Growing
+ \pgfpathlineto{\pgfpoint{0pt}{\pgfsnakecompleteddistance}}
+ \pgfpathlineto{\pgfpoint{5pt}{\pgfsnakecompleteddistance}}
+ \pgfpathlineto{\pgfpoint{5pt}{0pt}}
+ \else
+ % Shrinking
+ \pgfpathlineto{\pgfpoint{0pt}{\pgfsnakeremainingdistance}}
+ \pgfpathlineto{\pgfpoint{5pt}{\pgfsnakeremainingdistance}}
+ \pgfpathlineto{\pgfpoint{5pt}{0pt}}
+ \fi%
+ }
+ \state{down}[width=5pt,next state=up]
+ {
+ \ifdim\pgfsnakeremainingdistance>\pgfsnakecompleteddistance
+ % Growing
+ \pgfpathlineto{\pgfpoint{0pt}{-\pgfsnakecompleteddistance}}
+ \pgfpathlineto{\pgfpoint{5pt}{-\pgfsnakecompleteddistance}}
+ \pgfpathlineto{\pgfpoint{5pt}{0pt}}
+ \else
+ % Shrinking
+ \pgfpathlineto{\pgfpoint{0pt}{-\pgfsnakeremainingdistance}}
+ \pgfpathlineto{\pgfpoint{5pt}{-\pgfsnakeremainingdistance}}
+ \pgfpathlineto{\pgfpoint{5pt}{0pt}}
+ \fi%
+ }
+ \state{final}
+ {
+ \pgfpathlineto{\pgfpoint{\pgfsnakeremainingdistance}{0pt}}
+ }
+}
+\begin{tikzpicture}[snake=complicated example snake]
+ \draw[snake] (0,0) -- (3,0);
+ \fill[red!50,snake,rounded corners=2pt] (.5,-2) -- ++(2.5,-2.5)
+ [snake=none] -- ++(0,-.5) -| (0,-2) -- cycle;
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\subsubsection{Predefined Snakes}
+
+Only two very simple and basic snakes are predefined when you load
+\pgfname. For more interesting snakes you can use the package
+|pgflibrarysnakes|.
+
+\begin{snake}{lineto}
+ This most trivial of all snakes is simply a straight line. This
+ snake is typically not used in a ``stand alone'' fashion. Rather, it
+ is useful as a ``subsnake'' of the |\pgfsnakesto| command.
+\end{snake}
+
+\begin{snake}{moveto}
+ Arguably, this snake is even simpler than the previous snake. This
+ snake consists of a simple move-to operation. Like the |lineto|
+ snake, it is useful as a ``subsnake'' of the |\pgfsnakesto|
+ command.
+\end{snake}
+
+
+
+\subsection{Using Snakes}
+
+Three commands can be used to use a snake.
+
+\begin{command}{\pgfpathsnakealongvector\marg{snake}\marg{length}\marg{vector}}
+ This command will append the \meta{snake} to the current path. The
+ length of the snake is given by \meta{length}. The \meta{vector}
+ should be a normalizes vector (a vector having length |1pt|)
+ pointing in the direction in which the snake should grow.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathmoveto{\pgfpoint{1cm}{1cm}}
+ \pgfpathsnakealongvector{zigzag}{2cm}{\pgfpointpolar{30}{1pt}}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfpathsnakesto\marg{snake list}\marg{target}}
+ This command will append the snakes in the \meta{snake list} to the
+ current path such that it ends at \meta{point}. This command calls the previous
+ one (repeatedly, possibly) after having computed the distance from
+ the current point to \meta{target} and normalized the vector
+ connecting the current point to the target.
+
+ The \meta{snake list} 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 |{lineto}{1cm},{moveto}{2cm}|. This
+ is interpreted as follows: Use a |lineto| snake for the first
+ centimeter of the way to the \meta{target}, then use the |moveto|
+ snake for the next two centimeters.
+
+ No attempt is made to check or ensure that the distances of the
+ ``subsnakes' add up to the distnace from the current point to the
+ \meta{target}. However, it is possible to refer to this distance
+ inside the \meta{snake list}: While the snake list is processed, the
+ two \TeX-dimensions |\pgfsnakeremainingdistance| and
+ |\pgfsnakecompleteddistance| will be set to the correct values. For
+ example, consider the example from a above, consisting of a |lineto|
+ and a |moveto| snake. Suppose the distance to \meta{target} 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.
+
+ Here are some useful examles: |{zigzag}{\pgfsnakeremainingdistance}|
+ is a \meta{snake list} that consists only of a |zigzag| snake whose
+ length is the total distance from the current point to the
+ \meta{target}. Next, to get a snake that is a |zigzag| snake that is
+ preceeded and succeeded by 3mm of |lineto|, you can use the
+ following:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines](0,0) grid (3,2);
+ \pgfpathmoveto{\pgfpointorigin}
+ \pgfpathsnakesto{%
+ {lineto}{3mm},%
+ {zigzag}{\pgfsnakeremainingdistance-6mm},%
+ {lineto}{3mm}}
+ {\pgfpoint{3cm}{2cm}}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+
+ Note that the computation of the distance may be imprecise. In
+ general, the placement precision of the snakes will not be perfect.
+\end{command}
+
+\begin{command}{\pgfpathsnaketo\marg{snake}\marg{target}}
+ This command is just a shortcut for calling |\pgfpathsnakesto| for a
+ single snake whose length is |\pgfsnakeremainingdistance|.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfpathmoveto{\pgfpoint{1cm}{1cm}}
+ \pgfpathsnaketo{zigzag}{\pgfpoint{3cm}{2cm}}
+ \pgfusepath{stroke}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+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 $x$-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 ``last minute transformation.''
+
+\begin{command}{\pgfsetsnakesegmenttransformation\marg{code}}
+ The \meta{code} will be executed at the very beginning of each
+ segment. Normally, this be a transformation command that changes the
+ $y$-axis in some way.
+\end{command}
+
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "~/texmf/tex/generic/pgf/doc/pgf/version-for-pdftex/en/pgfmanual"
+%%% End:
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
new file mode 100644
index 00000000000..991c7edfc45
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-base-transformations.tex
@@ -0,0 +1,537 @@
+% 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{Coordinate and Canvas Transformations}
+
+\subsection{Overview}
+
+\pgfname\ offers two different ways of scaling, shifting, and rotating
+(these operations are generally known as \emph{transformations})
+graphics: You can apply \emph{coordinate transformations} to all
+coordinates and you can apply \emph{canvas transformations} to the
+canvas on which you draw. (The names ``coordinate'' and ``canvas''
+transformations are not standard, I introduce them only for the
+purposes of this manual.)
+
+The difference is the following:
+
+\begin{itemize}
+\item
+ As the name ``coordinate transformation'' suggests, coordinate
+ transformations apply only to coordinates. For example, when you
+ specify a coordinate like |\pgfpoint{1cm}{2cm}| and you wish to
+ ``use'' this coordinate---for example as an argument to a
+ |\pgfpathmoveto| 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 ``scale by a factor of two,'' the coordinate
+ |\pgfpoint{1cm}{2cm}| actually designates the point
+ $(2\mathrm{cm},4\mathrm{cm})$.
+
+ Note that coordinate transformations apply \emph{only} to
+ coordinates. They do not apply to, say, line width or shadings or
+ text.
+\item
+ The effect of a ``canvas transformation'' like ``scale by a factor
+ of two'' can be imagined as follows: You first draw your picture on
+ a ``rubber canvas'' normally. Then, once you are done, the whole
+ canvas is transformed, in this case stretched by a factor of
+ two. In the resulting image \emph{everything} will be larger: Text,
+ lines, coordinates, and shadings.
+\end{itemize}
+
+In many cases, it is preferable that you use coordinate
+transformations and not canvas transformations. When canvas
+transformations are used, \pgfname\ looses track of the coordinates of
+nodes and shapes. Also, canvas transformations often cause undesirable
+effects like changing text size. For these reasons, \pgfname\ makes it
+easy to setup the coordinate transformation, but a bit harder to
+change the canvas transformation.
+
+
+\subsection{Coordinate Transformations}
+
+\subsubsection{How PGF Keeps Track of the Coordinate Transformation
+ Matrix}
+
+\pgfname\ has an internal coordinate transformation matrix. This
+matrix is applied to coordinates ``in certain situations.'' This means
+that the matrix is not always applied to every coordinate ``no matter
+what.'' Rather, \pgfname\ 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.
+
+The coordinate transformation matrix consists of four numbers $a$,
+$b$, $c$, and $d$, and two dimensions $s$ and $t$. When the coordinate
+transformation matrix is applied to a coordinate $(x,y)$ the new
+coordinate $(ax+by+s,cx+dy+t)$ results. For more details on how
+transformation matrices work in general, please see, for example, the
+\textsc{pdf} or PostScript reference or a textbook on computer
+graphics.
+
+The coordinate transformation matrix is equal to the identity matrix
+at the beginning. More precisely, $a=1$, $b=0$, $c=0$, $d=1$,
+$s=0\mathrm{pt}$, and $t=0\mathrm{pt}$.
+
+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
+\emph{accumulate}.
+
+The coordinate transformation matrix is local to the current \TeX\
+group (unlike the canvas transformation matrix, which is local to the
+current |{pgfscope}|). Thus, the effect of adding a coordinate
+transformation to the coordinate transformation matrix will last only
+till the end of the current \TeX\ group.
+
+
+
+
+\subsubsection{Commands for Relative Coordinate Transformations}
+
+The following commands add a basic coordinate transformation to the
+current coordinate transformation matrix. For all commands, the
+transformation is applied \emph{in addition} to any previous
+coordinate transformations.
+
+\begin{command}{\pgftransformshift\marg{point}}
+ Shifts coordinates by \meta{point}.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (2,1) -- (1,0);
+ \pgftransformshift{\pgfpoint{1cm}{1cm}}
+ \draw[red] (0,0) -- (2,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgftransformxshift\marg{dimensions}}
+ Shifts coordinates by \meta{dimension} along the $x$-axis.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (2,1) -- (1,0);
+ \pgftransformxshift{.5cm}
+ \draw[red] (0,0) -- (2,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgftransformyshift\marg{dimensions}}
+ Like |\pgftransformxshift|, only for the $y$-axis.
+\end{command}
+
+\begin{command}{\pgftransformscale\marg{factor}}
+ Scales coordinates by \meta{factor}.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (2,1) -- (1,0);
+ \pgftransformscale{.75}
+ \draw[red] (0,0) -- (2,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgftransformxscale\marg{factor}}
+ Scales coordinates by \meta{factor} in the $x$-direction.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (2,1) -- (1,0);
+ \pgftransformxscale{.75}
+ \draw[red] (0,0) -- (2,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgftransformyscale\marg{factor}}
+ Like |\pgftransformxscale|, only for the $y$-axis.
+\end{command}
+
+
+\begin{command}{\pgftransformxslant\marg{factor}}
+ Slants coordinates by \meta{factor} in the $x$-direction. Here, a
+ factor of |1| means $45^\circ$.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (2,1) -- (1,0);
+ \pgftransformxslant{.5}
+ \draw[red] (0,0) -- (2,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgftransformyslant\marg{factor}}
+ Slants coordinates by \meta{factor} in the $y$-direction.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (2,1) -- (1,0);
+ \pgftransformyslant{-1}
+ \draw[red] (0,0) -- (2,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+
+\begin{command}{\pgftransformrotate\marg{degrees}}
+ Rotates coordinates counterclockwise by \meta{degrees}.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (2,1) -- (1,0);
+ \pgftransformrotate{30}
+ \draw[red] (0,0) -- (2,1) -- (1,0);
+\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
+ previous transformations already in force).
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (2,1) -- (1,0);
+ \pgftransformcm{1}{1}{0}{1}{\pgfpoint{.25cm}{.25cm}}
+ \draw[red] (0,0) -- (2,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgftransformarrow\marg{start}\marg{end}}
+ Shift coordinates to the end of the line going from \meta{start}
+ to \meta{end} with the correct rotation.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (3,1);
+ \pgftransformarrow{\pgfpointorigin}{\pgfpoint{3cm}{1cm}}
+ \pgftext{tip}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgftransformlineattime\marg{time}\marg{start}\marg{end}}
+ 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 |\pgfpointlineattime|, see
+ Section~\ref{section-pointsattime}.
+
+ In addition to shifting the coordinate, a rotation \emph{may} also
+ be applied. Whether this is the case depends on whether the \TeX\ if
+ |\ifpgfslopedattime| is set to true or not.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (2,1);
+ \pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}
+ \pgftext{Hi!}
+\end{tikzpicture}
+\end{codeexample}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (2,1);
+ \pgfslopedattimetrue
+ \pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}
+ \pgftext{Hi!}
+\end{tikzpicture}
+\end{codeexample}
+
+ There is another \TeX\ if that influences this command. If you set
+ |\ifpgfresetnontranslationattime| to true, then, between
+ shifting the coordinate and (possibly) rotating/sloping the
+ coordinate, the command |\pgftransformresetnontranslations| is
+ called. See the description of this command for details.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgftransformscale{1.5}
+ \draw (0,0) -- (2,1);
+ \pgfslopedattimetrue
+ \pgfresetnontranslationattimefalse
+ \pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}
+ \pgftext{Hi!}
+\end{tikzpicture}
+\end{codeexample}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgftransformscale{1.5}
+ \draw (0,0) -- (2,1);
+ \pgfslopedattimetrue
+ \pgfresetnontranslationattimetrue
+ \pgftransformlineattime{.25}{\pgfpointorigin}{\pgfpoint{2cm}{1cm}}
+ \pgftext{Hi!}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgftransformcurveattime\marg{time}\marg{start}\marg{first
+ support}\marg{second support}\marg{end}}
+ Shifts coordinates by a specific point on a curve at a specific
+ 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.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) .. controls (0,2) and (1,2) .. (2,1);
+ \pgftransformcurveattime{.25}{\pgfpointorigin}
+ {\pgfpoint{0cm}{2cm}}{\pgfpoint{1cm}{2cm}}{\pgfpoint{2cm}{1cm}}
+ \pgftext{Hi!}
+\end{tikzpicture}
+\end{codeexample}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (0,0) .. controls (0,2) and (1,2) .. (2,1);
+ \pgfslopedattimetrue
+ \pgftransformcurveattime{.25}{\pgfpointorigin}
+ {\pgfpoint{0cm}{2cm}}{\pgfpoint{1cm}{2cm}}{\pgfpoint{2cm}{1cm}}
+ \pgftext{Hi!}
+\end{tikzpicture}
+\end{codeexample}
+ The value of |\ifpgfresetnontranslationsattime| is also taken into account.
+\end{command}
+
+
+{
+ \let\ifpgfslopedattime=\relax
+ \begin{textoken}{\ifpgfslopedattime}
+ Decides whether the ``at time'' transformation commands also
+ rotate coordinates or not.
+ \end{textoken}
+}
+{
+ \let\ifpgfresetnontranslationsattime=\relax
+ \begin{textoken}{\ifpgfresetnontranslationsattime}
+ Decides whether the ``at time'' transformation commands should
+ reset the non-translations between shifting and rotating.
+ \end{textoken}
+}
+
+
+\subsubsection{Commands for Absolute Coordinate Transformations}
+
+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 ``absolutely.'' 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.
+
+\begin{command}{\pgftransformreset}
+ 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.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgftransformrotate{30}
+ \draw (0,0) -- (2,1) -- (1,0);
+ \pgftransformreset
+ \draw[red] (0,0) -- (2,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgftransformresetnontranslations}
+ This command sets the $a$, $b$, $c$, and $d$ part of the coordinate
+ transformation matrix to $a=1$, $b=0$, $c=0$, and $d=1$. However,
+ the current shifting of the matrix is not modified.
+
+ The effect of this command is that any rotation/scaling/slanting is
+ undone in the current \TeX\ group, but the origin is not ``moved
+ back.''
+
+ This command is mostly useful directly before a |\pgftext| command
+ to ensure that the text is not scaled or rotated.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgftransformscale{2}
+ \pgftransformrotate{30}
+ \pgftransformxshift{1cm}
+ {\color{red}\pgftext{rotated}}
+ \pgftransformresetnontranslations
+ \pgftext{shifted only}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgftransforminvert}
+ Replaces the coordinate transformation matrix by a coordinate
+ transformation matrix that ``exactly undoes the original
+ transformation.'' For example, if the original transformation was
+ ``scale by 2 and then shift right by 1cm'' the new one is ``shift
+ left by 1cm and then scale by $1/2$.''
+
+ This command will produce an error if the determinant of
+ the matrix is too small, that is, if the matrix is near-singular.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgftransformrotate{30}
+ \draw (0,0) -- (2,1) -- (1,0);
+ \pgftransforminvert
+ \draw[red] (0,0) -- (2,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+\subsubsection{Saving and Restoring the Coordinate Transformation
+ Matrix}
+
+There are two commands for saving and restoring coordinate
+transformation matrices.
+
+\begin{command}{\pgfgettransform\marg{macro}}
+ This command will (locally) define \meta{macro} to a representation
+ of the current coordinate transformation matrix. This matrix can
+ later on be reinstalled using |\pgfsettransform|.
+\end{command}
+
+
+\begin{command}{\pgfsettransform\marg{macro}}
+ Reinstalls a coordinate transformation matrix that was previously
+ saved using |\pgfgettransform|.
+\end{command}
+
+
+
+\subsection{Canvas Transformations}
+
+The canvas transformation matrix is not managed by \pgfname, but by
+the output format like \pdf\ or PostScript. All the \pgfname\ does is
+to call appropriate low-level |\pgfsys@| commands to change the canvas
+transformation matrix.
+
+Unlike coordinate transformations, canvas transformations apply to
+``everything,'' 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.
+
+Unlike coordinate transformations, canvas transformations are local to
+the current |{pgfscope}|, not to the current \TeX\ group. This is due
+to the fact that they are managed by the backend driver, not by \TeX\
+or \pgfname.
+
+Unlike the coordinate transformation matrix, it is not possible to
+``reset'' the canvas transformation matrix. The only way to change it
+is to concatenate it with another canvas transformation matrix or to
+end the current |{pgfscope}|.
+
+Unlike coordinate transformations, \pgfname\ does not ``keep track''
+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.
+
+\pgfname\ 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).
+
+\begin{command}{\pgflowlevelsynccm}
+ This command concatenates the canvas transformation matrix with the
+ current coordinate transformation matrix. Afterward, the coordinate
+ transformation matrix is reset.
+
+ The effect of this command is to ``synchronize'' 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.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfsetlinewidth{1pt}
+ \pgftransformscale{5}
+ \draw (0,0) -- (0.4,.2);
+ \pgftransformxshift{0.2cm}
+ \pgflowlevelsynccm
+ \draw[red] (0,0) -- (0.4,.2);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgflowlevel\marg{transformation code}}
+ This command concatenates the canvas transformation matrix with the
+ coordinate transformation specified by \meta{transformation code}.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfsetlinewidth{1pt}
+ \pgflowlevel{\pgftransformscale{5}}
+ \draw (0,0) -- (0.4,.2);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\pgflowlevelobj\marg{transformation code}\marg{code}}
+ This command creates a local |{pgfscope}|. Inside this scope,
+ |\pgflowlevel| is first called with the argument
+ \meta{transformation code}, then the \meta{code} is inserted.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfsetlinewidth{1pt}
+ \pgflowlevelobj{\pgftransformscale{5}} {\draw (0,0) -- (0.4,.2);}
+ \pgflowlevelobj{\pgftransformxshift{-1cm}}{\draw (0,0) -- (0.4,.2);}
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+
+\begin{environment}{{pgflowlevelscope}\marg{transformation code}}
+ This environment first surrounds the \meta{environment contents} by
+ a |{pgfscope}|. Then it calls |\pgflowlevel| with the argument
+ \meta{transformation code}.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \pgfsetlinewidth{1pt}
+ \begin{pgflowlevelscope}{\pgftransformscale{5}}
+ \draw (0,0) -- (0.4,.2);
+ \end{pgflowlevelscope}
+ \begin{pgflowlevelscope}{\pgftransformxshift{-1cm}}
+ \draw (0,0) -- (0.4,.2);
+ \end{pgflowlevelscope}
+\end{tikzpicture}
+\end{codeexample}
+\end{environment}
+
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
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
new file mode 100644
index 00000000000..c59ee5fbeb3
--- /dev/null
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@@ -0,0 +1,313 @@
+% 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.
+
+
+\section{Input and Output Formats}
+\label{section-formats}
+
+
+\TeX\ was designed to be a flexible system. This is true both for the
+\emph{input} for \TeX\ as well as for the \emph{output}. The present
+section explains which input formats there are and how they are
+supported by \pgfname. It also explains which different output formats
+can be produced.
+
+
+
+\subsection{Supported Input Formats}
+
+\TeX\ does not prescribe exactly how your input should be
+formatted. While it is \emph{customary} that, say, an opening brace
+starts a scope in \TeX, this is by no means necessary. Likewise, it is
+\emph{customary} that environments start with |\begin|, but \TeX\
+could not really care less about the exact command name.
+
+Even though \TeX\ can be reconfigured, users can not. For this reason,
+certain \emph{input formats} specify a set of commands and conventions
+how input for \TeX\ should be formatted. There are currently three
+``major'' formats: Donald Knuth's original |plain| \TeX\ format,
+Leslie Lamport's popular \LaTeX\ format, and Hans Hangen's Con\TeX t
+format.
+
+
+\subsubsection{Using the \LaTeX\ Format}
+
+Using \pgfname\ and \tikzname\ with the \LaTeX\ format is easy: You
+say |\usepackage{pgf}| or |\usepackage{tikz}|. Usually, that is all
+you need to do, all configuration will be done automatically and
+(hopefully) correctly.
+
+The style files used for the \LaTeX\ format reside in the subdirectory
+|latex/pgf/| of the \pgfname-system. Mainly, what these files do is to
+include files in the directory |generic/pgf|. For example, here is the
+content of the file |latex/pgf/frontends/tikz.sty|:
+
+\begin{codeexample}[code only]
+% Copyright 2005 by Till Tantau <tantau@users.sourceforge.net>.
+%
+% This program can be redistributed and/or modified under the terms
+% of the GNU Public License, version 2.
+
+\RequirePackage{pgf,calc,pgffor,pgflibraryplothandlers,xkeyval}
+
+\input{tikz.code}
+
+\endinput
+\end{codeexample}
+
+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|.
+
+Unlike for the \LaTeX\ format, \pgfname\ is not as good at discerning
+the appropriate configuration for the plain \TeX\ format. In
+particular, it can only automatically determine the correct output
+format if you use |pdftex| or |tex| plus |dvips|. For all other output
+formats you need to set the macro |\pgfsysdriver| to the correct
+value. See the description of using output formats later on.
+
+\pgfname\ was originally written for use with \LaTeX\ and this shows
+in a number of places. Nevertheless, the plain \TeX\ support is
+reasonably good.
+
+Like the \LaTeX\ style files, the plain \TeX\ files like |tikz.tex|
+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.
+
+
+
+
+
+\subsection{Supported Output Formats}
+\label{section-drivers}
+
+An output format is a format in which \TeX\ outputs the text it has
+typeset. Producing the output is (conceptually) a two-stage process:
+\begin{enumerate}
+\item
+ \TeX\ typesets your text and graphics. The result of this
+ typesetting is mainly a long list of letter--coordinate pairs, plus
+ (possibly) some ``special'' commands. This long list of pairs
+ is written to something called a |.dvi|-file.
+\item
+ Some other program reads this |.dvi|-file and translates the
+ letter--coordinate pairs into, say, PostScript commands for placing
+ the given letter at the given coordinate.
+\end{enumerate}
+
+The classical example of this process is the combination of |latex|
+and |dvips|. The |latex| program (which is just the |tex| program
+called with the \LaTeX-macros preinstalled) produces a |.dvi|-file as
+its output. The |dvips| program takes this output and produces a
+|.ps|-file (a PostScript) file. Possibly, this file is further
+converted using, say, |ps2pdf|, whose name is supposed to mean
+``PostScript to PDF.'' Another example of programs using this
+process is the combination of |tex| and |dvipdfm|. The |dvipdfm|
+program takes a |.dvi|-file as
+input and translates the letter--coordinate pairs therein into
+\pdf-commands, resulting in a |.pdf| file directly. Finally, the
+|tex4ht| is also a program that takes a |.dvi|-file and produces an
+output, this time it is a |.html| file. The programs |pdftex| and
+|pdflatex| are special: They directly produce a |.pdf|-file without
+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
+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
+|.dvi|-file as input has a totally different syntax for the special
+commands.
+
+One of the main jobs of \pgfname\ is to ``abstract way'' the
+difference in the syntax of the different programs. However, this
+means that support for each program has to be ``programmed,'' which is
+a time-consuming and complicated process.
+
+
+\subsubsection{Selecting the Backend Driver}
+
+When \TeX\ typesets your document, it does not know which program
+you are going to use to transform the |.dvi|-file. If your |.dvi|-file
+does not contain any special commands, this would be fine; but these
+days almost all |.dvi|-files contain lots of special commands. It is
+thus necessary to tell \TeX\ which program you are going to use later
+on.
+
+Unfortunately, there is no ``standard'' way of telling this to
+\TeX. For the \LaTeX\ format a sophisticated mechanism exists inside
+the |graphics| package and \pgfname\ plugs into this mechanism. For
+other formats and when this plugging does not work as expected, it is
+necessary to tell \pgfname\ directly which program you are going to
+use. This is done by redefining the macro |\pgfsysdriver| to an
+appropriate value \emph{before} you load |pgf|. If you are going to
+use the |dvips| program, you set this macro to the value
+|pgfsys-dvips.def|; if you use |pdftex| or |pdflatex|, you set it to
+|pgfsys-pdftex.def|; and so on. In the following, details of the
+support of the different programs are discussed.
+
+
+\subsubsection{Producing PDF Output}
+
+\pgfname\ supports three programs that produce \pdf\ output (\pdf\ means
+``portable document format'' and was invented by the Adobe company):
+|dvipdfm|, |pdftex|, and |vtex|. The |pdflatex| program is the same as the
+|pdftex| program: it uses a different input format, but the output is
+exactly the same.
+
+\begin{filedescription}{pgfsys-pdftex.def}
+ This is the driver file for use with pdf\TeX, that is, with the
+ |pdftex| or |pdflatex| command. It includes
+ |pgfsys-common-pdf.def|.
+
+ This driver has the ``complete'' functionality. This means,
+ everything \pgfname\ ``can do at all'' is implemented in this
+ driver.
+\end{filedescription}
+
+\begin{filedescription}{pgfsys-dvipdfm.def}
+ This is a driver file for use with (|la|)|tex| followed by |dvipdfm|. It
+ includes |pgfsys-common-pdf.def|.
+
+ This driver supports most of \pgfname's features, but there are some
+ restrictions:
+ \begin{enumerate}
+ \item
+ In \LaTeX\ mode it uses |graphicx| for the graphics
+ inclusion and does not support masking.
+ \item
+ In plain \TeX\ mode it does not support image inclusion.
+ \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
+ 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
+ parameters. However, whether you produce Postscript or
+ \textsc{pdf} output does not change anything with respect to the
+ driver.
+
+ This driver supports most of \pgfname's features, except for
+ the following restrictions:
+ \begin{enumerate}
+ \item
+ In \LaTeX\ mode it uses |graphicx| for the graphics
+ inclusion and does not support masking.
+ \item
+ In plain \TeX\ mode it does not support image inclusion.
+ \item
+ Shading is fully implemented, but yields the same quality as the
+ implementation for |dvips|.
+ \item
+ Opacity is not implemented at all.
+ \end{enumerate}
+\end{filedescription}
+
+It is also possible to produce a |.pdf|-file by first producing a
+PostScript file (see below) and then using a PostScript-to-\pdf\
+conversion program like |ps2pdf| or the Acrobat Distiller.
+
+
+\subsubsection{Producing PostScript Output}
+
+\begin{filedescription}{pgfsys-dvips.def}
+ This is a driver file for use with (|la|)|tex| followed by
+ |dvips|. It includes |pgfsys-common-postscript.def|.
+
+ This driver also supports most of \pgfname's features, except for
+ the following restrictions:
+ \begin{enumerate}
+ \item
+ In \LaTeX\ mode it uses |graphicx| for the graphics
+ inclusion and does not support masking.
+ \item
+ In plain \TeX\ mode it does not support image inclusion.
+ \item
+ Shading is fully implemented, but the results will not be
+ as good as with a driver producing |.pdf| as output.
+ \item
+ Opacity works only in conjunction with newer versions of
+ GhostScript.
+ \end{enumerate}
+\end{filedescription}
+
+You can also use the |vtex| program together with |pgfsys-vtex.def| to
+produce Postscript output.
+
+
+
+\subsubsection{Producing HTML / SVG Output}
+
+The |tex4ht| program converts |.dvi|-files to |.html|-files. While the
+\textsc{html}-format cannot be used to draw graphics, the
+\textsc{svg}-format can. Using the following driver, you can ask
+\pgfname\ to produce an \textsc{svg}-picture for each \pgfname\
+graphic in your text.
+
+\begin{filedescription}{pgfsys-tex4ht.def}
+ This is a driver file for use with the |tex4ht| program. It includes
+ |pgfsys-common-svg.def|.
+
+ When using this driver you should be aware of the following
+ restrictions:
+ \begin{enumerate}
+ \item
+ In \LaTeX\ mode it uses |graphicx| for the graphics
+ inclusion.
+ \item
+ In plain \TeX\ mode it does not support image inclusion.
+ \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
+ back'' to \textsc{html}. 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, \emph{very} 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.
+ \item
+ If you use text that contains anything special, even something as
+ simple as |$\alpha$|, this may corrupt the graphic since |text4ht|
+ does not always produce valid \textsc{xml} code. So, once more,
+ \emph{stick to very simple node text inside graphics.} Sorry.
+ \item
+ Unlike for other output formats, the bounding box of a picture
+ ``really crops'' the picture.
+ \end{enumerate}
+
+ The driver basically works as follows: When a |{pgfpicture}| is
+ started, appropriate |\special| commands are used to directed the
+ 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
+ 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''
+ for \pgfname's purposes.
+\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
new file mode 100644
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@@ -0,0 +1,771 @@
+% $Header: /cvsroot/pgf/pgf/doc/pgf/text-en/pgfmanual-en-guidelines.tex,v 1.1 2005/09/02 16:05:42 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.
+
+
+
+\section{Guidelines on Graphics}
+
+The present section is not about \pgfname\ or \tikzname, but about
+general guidelines and principles concerning the creation of
+graphics for scientific presentations, papers, and books.
+
+The guidelines in this section come from different sources. Many of
+them are just what I would like to claim is ``common sense,'' 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'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
+general guidelines.
+\begin{itemize}
+\item
+ The person who setup the guidelines may have had other
+ objectives than you do. For example, a guideline might say ``use the
+ color red for emphasis.'' While this guideline makes perfect sense
+ for, say, a presentation using a projector, red ``color'' has the
+ \emph{opposite} effect of ``emphasis'' when printed using a
+ black-and-white printer.
+
+ 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.
+\item
+ The basic rule of typography is: ``Every rule can be broken, as long
+ as you are \emph{aware} that you are breaking a rule.'' This rule
+ also applies to graphics. Phrased differently, the basic rule
+ states: ``The only mistakes in typography are things done is
+ ignorance.''
+
+ 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
+yourself these questions:
+\begin{enumerate}
+\item
+ Does this guideline really address my situation?
+\item
+ If you do the opposite a guideline says you should do, will the
+ advantages outweigh the disadvantages this guideline was supposed to
+ prevent?
+\end{enumerate}
+
+
+
+\subsection{Planning the Time Needed for the Creation of Graphics}
+
+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?
+
+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 \emph{a first draft} of a half page graphic. Later on, I
+expect another one to two hours before the final graphic is finished.
+
+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
+``afterthought'' or look like a screen shot of whatever the authors's
+statistical software shows them. As will be argued later on, the
+graphics that programs like \textsc{gnuplot} produce by default are of
+poor quality.
+
+Creating informative graphics that help the reader and that fit
+together with the main text is a difficult, lengthy process.
+\begin{itemize}
+\item
+ Treat graphics as first-class citizens of your papers. They deserve
+ as much time and energy as the text does.
+\item
+ Arguably, the creation of graphics deserves \emph{even more} time
+ than the writing of the main text since more attention will be paid
+ to the graphics and they will be looked at first.
+\item
+ Plan as much time for the creation and revision of a graphic as you
+ would plan for text of the same size.
+\item
+ Difficult graphics with a high information density may require even
+ more time.
+\item
+ Very simple graphics will require less time, but most likely you do
+ not want to have ``very simple graphics'' in your paper, anyway;
+ just as you would not like to have a ``very simple text'' of the
+ same size.
+\end{itemize}
+
+
+
+\subsection{Workflow for Creating a Graphic}
+
+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.
+
+Creating a graphics follows the same pattern:
+\begin{itemize}
+\item
+ Decide on what the graphic should communicate. Make this a conscious
+ decision, that is, determine ``What is the graphic supposed to tell
+ the reader?''
+\item
+ Create an ``outline,'' that is, the rough overall ``shape'' of the
+ graphic, containing the most crucial elements. Often, it is
+ useful to do this using pencil and paper.
+\item
+ Fill out the finer details of the graphic to create a first
+ draft.
+\item
+ Revise the graphic repeatedly along with the rest of the paper.
+\end{itemize}
+
+
+
+
+\subsection{Linking Graphics With the Main Text}
+
+Graphics can be placed at different places in a text. Either, they can
+be inlined, meaning they are somewhere ``in the middle of the text''
+or they can be placed in standalone ``figures.'' Since printers (the
+people) like to have their pages ``filled,'' (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. \LaTeX\ and \TeX\ tend to encourage this ``drifting away'' of
+graphics for technical reasons.
+
+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.
+
+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:
+\begin{itemize}
+\item
+ Standalone figures should have a caption than should make them
+ ``understandable by themselves.''
+
+ For example, suppose a graphic shows an example of the different
+ stages of a quicksort algorithm. Then the figure's caption should,
+ at the very least, inform the reader that ``The figure shows the
+ different stages of the quicksort algorithm introduced on page
+ xyz.'' and not just ``Quicksort algorithm.''
+\item
+ A good caption adds as much context information as possible. For
+ example, you could say: ``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\dots'' 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.)
+\item
+ Reference the graphic in your main text as in ``For an example of
+ quicksort `in action,' see Figure~2.1 on page xyz.''
+\item
+ Most books on style and typography recommend that you do not use
+ abbreviations as in ``Fig.~2.1'' but write ``Figure 2.1.''
+
+ The main argument against abbreviations is that ``a period is too
+ valuable to waste it on an abbreviation.'' The idea is that a period
+ will make the reader assume that the sentence ends after ``Fig'' and
+ it takes a ``conscious backtracking'' to realize that the sentence
+ did not end after all.
+
+ The argument in favor of abbreviations is that they save space.
+
+ 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 ``Figure'' by
+ ``Fig.''\ is most unlikely to save even a single line in most
+ documents.
+
+ I avoid abbreviations.
+\end{itemize}
+
+
+
+\subsection{Consistency Between Graphics and Text}
+
+Perhaps the most common ``mistake'' people do when creating graphics
+(remember that a ``mistake'' in design is always just ``ignorance'')
+is to have a mismatch between the way their graphics look and the way
+their text looks.
+
+It is quite common that authors use several different programs for
+creating the graphics of a paper. An author might produce some plots
+using \textsc{gnuplot}, a diagram using \textsc{xfig}, and include an
+|.eps| 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 |[height=5cm]| when including graphics to scale them to
+some ``nice size.''
+
+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.
+
+Readers and editors would not tolerate a text if it were written in
+this fashion, but with graphics they often have to.
+
+To create consistency between graphics and text, stick to the
+following guidelines:
+\begin{itemize}
+\item
+ Do not scale graphics.
+
+ This means that when generating graphics using an external program,
+ create them ``at the right size.''
+\item
+ Use the same font(s) both in graphics and the body text.
+\item
+ Use the same line width in text and graphics.
+
+ The ``line width'' for normal text is the width of the stem of
+ letters like T{}. For \TeX, this is usually
+ $0.4\,\mathrm{pt}$. However, some journals will not accept graphics
+ with a normal line width below $0.5\,\mathrm{pt}$.
+\item
+ 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.
+
+ 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 ``positive, go,
+ ok'' and red as ``alert, warning, action.''
+\end{itemize}
+
+Creating consistency when using different graphic programs is almost
+impossible. For this reason, you should consider sticking to a single
+graphic program.
+
+
+\subsection{Labels in Graphics}
+
+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:
+
+\begin{itemize}
+\item
+ 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.
+\item
+ In addition to using the same fonts in text and graphics, you should
+ also use the same notation. For example, if you write $1/2$ in your
+ main text, also use ``$1/2$'' as labels in graphics, not
+ ``0.5''. A $\pi$ is a ``$\pi$'' and not ``$3.141$''. Finally,
+ $\mathrm e^{-\mathrm i \pi}$ is ``$\mathrm e^{-\mathrm i \pi}$'',
+ not ``$-1$'', let alone ``-1''.
+\item
+ 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 \emph{behind} the
+ labels.
+\item
+ Labels should be ``in place.'' 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.
+\item
+ Consider subduing ``unimportant'' labels using, for example, a gray
+ color. This will keep the focus on the actual graphic.
+\end{itemize}
+
+
+
+\subsection{Plots and Charts}
+
+One of the most frequent kind of graphics, especially in scientific
+papers, are \emph{plots}. They come in a large variety, including
+simple line plots, parametric plots, three dimensional plots, pie
+charts, and many more.
+
+Unfortunately, plots are notoriously hard to get right. Partly, the
+default settings of programs like \textsc{gnuplot} or Excel are to
+blame for this since these programs make it very convenient to create
+bad plots.
+
+The first question you should ask yourself when creating a plot is the
+following:
+\begin{itemize}
+\item
+ Are there enough data points to merit a plot?
+\end{itemize}
+
+If the answer is ``not really,'' use a table.
+
+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 ``very good,''
+nine considered it ``good,'' ten ``ok,'' eight ``bad,'' and no one thought
+that the seminar was ``very bad.''
+
+A simple way of summing up this information is the following table:
+
+\medskip
+\begin{tabular}{lp{3.75cm}r}
+ \emph{Rating given} & \raggedright\emph{Participants (out of 50) who gave this rating} &
+ \emph{Percentage} \\[1.75em]
+ ``very good'' & \hfil\hphantom{0}3\hfil & \hphantom{0}6\% \\
+ ``good'' & \hfil\hphantom{0}9\hfil & 18\% \\
+ ``ok'' & \hfil10\hfil & 20\% \\
+ ``bad'' & \hfil\hphantom{0}8\hfil & 16\% \\
+ ``very bad'' & \hfil\hphantom{0}0\hfil & \hphantom{0}0\% \\[2mm]
+ none & \hfil20\hfil & 40\% \\
+\end{tabular}
+
+\bigskip
+What the lecturer did was to visualize the data using a 3D bar
+diagram. It looked like this:
+
+\bigskip
+\par
+\begin{tikzpicture}[y=0.03cm,z=3mm]
+ \foreach \y in {0,20,40,60,80,100}
+ \draw[dashed] (0,\y,0) node[left] {\y} -- (0,\y,1) -- (6,\y,1);
+
+ \draw (0,0,0) -- (0,100,0) (0,0,1) -- (0,100,1);
+ \draw (0,0,0) -- (6,0,0);
+
+ \foreach \x/\xtext/\height in {1/very good/10,2/good/30,3/ok/33,4/bad/27,5/very bad/0}
+ {
+ \draw (\x,0) node[rotate=90,anchor=east] {\xtext};
+
+ \begin{scope}[xshift=\x cm]
+
+ \filldraw[fill=blue!50] (-.3,0,0) rectangle (.3,\height,0);
+ \filldraw[fill=blue!30] (.3,0,0) -- (.3,0,1) -- (.3,\height,1) -- (.3,\height,0) --cycle;
+ \filldraw[fill=blue!20] (-.3,\height,0) -- (.3,\height,0) --
+ (.3,\height,1) -- (-.3,\height,1) --cycle;
+ \end{scope}
+ }
+\end{tikzpicture}
+\bigskip
+
+Both the table and the ``plot'' have about the same size. If your first
+thought is ``the graphic looks nicer than the table,'' try to answer
+the following questions based on the information in the table or in
+the graphic:
+\begin{enumerate}
+\item
+ How many participants where there?
+\item
+ How many participants returned the feedback form?
+\item
+ What percentage of the participants returned the feedback form?
+\item
+ How many participants checked ``very good''?
+\item
+ What percentage out of all participants checked ``very good''?
+\item
+ Did more than a quarter of the participants check ``bad'' or ``very bad''?
+\item
+ What percentage of the participants that returned the form checked ``very good''?
+\end{enumerate}
+
+Sadly, the graphic does not allow us to answer \emph{a single one of these
+ questions}. 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.
+
+Here is the list of things that went wrong with the 3D-bar diagram:
+\begin{itemize}
+\item
+ The whole graphic is dominated by irritating background lines.
+\item
+ It is not clear what the numbers at the left mean; presumably
+ percentages, but it might also be the absolute number of
+ participants.
+\item
+ The labels at the bottom are rotated, making them hard to read.
+
+ (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.)
+\item
+ The third dimension adds complexity to the graphic without adding
+ information.
+\item
+ The three dimensional setup makes it much harder to gauge the height
+ of the bars correctly. Consider the ``bad'' 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.
+\item
+ It is impossible to tell which numbers are represented by the
+ bars. Thus, the bars needlessly hide the information these bars are
+ all about.
+\item
+ What do the bar heights add up to? Is it 100\% or 60\%?
+\item
+ Does the bar for ``very bad'' represent 0 or~1?
+\item
+ Why are the bars blue?
+\end{itemize}
+
+You might argue that in the example the exact numbers are not
+important for the graphic. The important things is the ``message,''
+which is that there are more ``very good'' and ``good'' ratings than
+``bad'' and ``very bad.'' However, to convey this message either use a
+sentence that says so or use a graphic that conveys this message more
+clearly:
+
+\medskip
+\par
+\begin{tikzpicture}
+ \colorlet{good}{green!75!black}
+ \colorlet{bad}{red}
+ \colorlet{neutral}{black!60}
+ \colorlet{none}{white}
+
+ \node[text centered,text width=3cm]{Ratings given by 50~participants};
+
+ \begin{scope}[line width=4mm,rotate=270]
+ \draw[good] (-123:2cm) arc (-123:-101:2cm);
+ \draw[good!60!white] (-36:2cm) arc (-36:-101:2cm);
+ \draw[neutral] (-36:2cm) arc (-36:36:2cm);
+ \draw[bad!60!white] (36:2cm) arc (36:93:2cm);
+
+ \newcount\mycount
+ \foreach \angle in {0,72,...,3599}
+ {
+ \mycount=\angle\relax
+ \divide\mycount by 10\relax
+ \draw[black!15,thick] (\the\mycount:18mm) -- (\the\mycount:22mm);
+ }
+
+ \draw (0:2.2cm) node[below] {``ok'': 10 (20\%)};
+ \draw (165:2.2cm) node[above] {none: 20 (40\%)};
+ \draw (-111:2.2cm) node[left] {``very good'': 3 (6\%)};
+ \draw (-68:2.2cm) node[left] {``good'': 9 (18\%)};
+ \draw (65:2.2cm) node[right] {``bad'': 8 (16\%)};
+ \draw (93:2.2cm) node[right] {``very bad'': 0 (0\%)};
+ \end{scope}
+ \draw[gray] (0,0) circle (2.2cm) circle (1.8cm);
+\end{tikzpicture}
+
+\bigskip
+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 ``see'' that there are more good or very good ratings
+than bad ones. One can also ``see'' that the number of people who gave
+no rating at all is not negligible, which is quite common for feedback
+forms.
+
+Charts are not always a good idea. Let us look at an example
+that I redrew from a pie chart in \emph{Die Zeit}, June 4th, 2005:
+
+\bigskip
+\par
+\begin{tikzpicture}
+ \begin{scope}[xscale=3.2,yscale=1.2]
+
+ \sffamily
+ \coordinate (right border) at (2.0cm,-1.7cm);
+ \coordinate (left border) at (-2.5cm,2.1cm);
+
+ \fill[black!25] ([xshift=-2mm,yshift=1.1cm]left border) rectangle ([xshift=2mm,yshift=-.3cm]right border);
+
+ \node[below right,text width=10cm,inner sep=0pt] at ([yshift=.9cm,xshift=-1mm]left border)
+ { {\color{black!75} \Large Kohle ist am wichtigsten}\\
+ Energiemix bei der deutschen Stromerzeugung 2004};
+
+ \filldraw[draw=gray,fill=white] ([xshift=-1mm]left border) node[below right,black]
+ {\footnotesize Gesamte Netto-Stromerzeugung in Prozent, in
+ Milliarden Kilowattstunden (Mrd.\ kWh)}
+ rectangle ([xshift=1mm]right border);
+
+ % The 3D stuff
+ \pgfdeclarehorizontalshading{zeit}{100bp}
+ {color(0pt)=(black);
+ color(25bp)=(black);
+ color(37bp)=(white);
+ color(50bp)=(black);
+ color(62bp)=(white);
+ color(75bp)=(black);
+ color(100bp)=(black)}
+
+ \shadedraw[very thin,shading=zeit,yshift=-1.5mm] (0,0) circle (1cm);
+
+ \fill[green!20!gray] (0,0) -- (90:1cm) arc (90:-5:1cm);
+ \fill[white!20!gray] (0,0) -- (-5:1cm) arc (-5:-105:1cm);
+ \fill[orange!20!gray] (0,0) -- (-105:1cm) arc (-105:-180:1cm);
+ \fill[orange!60!white] (0,0) -- (180:1cm) arc (180:150:1cm);
+ \fill[black!75!white] (0,0) -- (150:1cm) arc (150:145:1cm);
+ \fill[blue!90!white] (0,0) -- (145:1cm) arc (145:135:1cm);
+ \fill[blue!50!white] (0,0) -- (135:1cm) arc (135:92:1cm);
+ \fill[yellow!50!black] (0,0) -- (92:1cm) arc (92:90:1cm);
+
+ \begin{scope}[very thin]
+ \draw (0,0) -- (90:1cm);
+ \draw (0,0) -- (-5:1cm);
+ \draw (0,0) -- (-105:1cm);
+ \draw (0,0) -- (-180:1cm);
+ \draw (0,0) -- (150:1cm);
+ \draw (0,0) -- (145:1cm);
+ \draw (0,0) -- (135:1cm);
+ \draw (0,0) -- (92:1cm);
+
+ \draw(0,0) circle (1cm);
+ \end{scope}
+
+ \node (Regenerative) at (115:.75cm) {\bfseries 9,4\%};
+ \node (Kernenergie) at (30:.5cm) {\bfseries 27,8\%};
+ \node (Braunkohle) at (-45:.6cm) {\bfseries 25,6\%};
+ \node (Steinkohle) at (-135:.6cm) {\bfseries 22,3\%};
+ \node (Erdgas) at (168:.75cm) {\bfseries 10,4\%};
+ \coordinate (Mineral) at (147:.9cm);
+ \coordinate (Sonstige) at (140:.9cm);
+
+ \small
+ \draw (Regenerative.north) |- ([yshift=.25cm]Regenerative.north -| right border) coordinate (Regenerative label);
+ \draw (91:.9cm) |- (Regenerative label);
+ \node[above left] at (Regenerative label) {Regenerative\
+ {\footnotesize (53,7 kWh)/davon} Wind \textbf{4,4\%} \footnotesize (25,0 kWh)};
+
+ \draw (Kernenergie.base east) -- (Kernenergie.base east -| right border) coordinate (Kernenergie label);
+ \node[above left] at (Kernenergie label) {Kernenergie};
+ \node[below left] at (Kernenergie label) {\footnotesize (158,4 kWh)};
+
+ \draw (Braunkohle.south) |- ([yshift=-.75cm]Braunkohle.south -| right border) coordinate (Braunkohle label);
+ \node[above left] at (Braunkohle label) {Braunkohle\ \ \footnotesize (146,0 kWh)};
+
+ \draw (Steinkohle.south) |- ([yshift=-.75cm]Steinkohle.south -| left border) coordinate (Steinkohle label);
+ \node[above right] at (Steinkohle label) {Steinkohle\ \ \footnotesize (127,1 kWh)};
+
+ \draw (Erdgas.base west) -- (Erdgas.base west -| left border) coordinate (Erdgas label);
+ \node[above right] at (Erdgas label) {Erdgas\ \ \footnotesize (59,2 kWh)};
+
+ \draw (Mineral) -- (Mineral -| left border) coordinate (Mineral label);
+ \node[above right] at (Mineral label) {Mineral\"olprodukte\ \
+ \footnotesize (9,2 kWh) \ \ \normalsize\textbf{1,6\%}};
+
+ \draw (Sonstige) |- (Regenerative label -| left border) coordinate (Sonstige label);
+ \node[above right] at (Sonstige label) {Sonstige\ \
+ \footnotesize (16,5 kWh) \hskip1.5cm\
+ \normalsize\textbf{2,9\%}};
+ \end{scope}
+\end{tikzpicture}
+
+This graphic has been redrawn in \tikzname, but the original looks very
+similar.
+
+At first sight, the graphic looks ``nice and informative,'' but there
+are a lot of things that went wrong:
+
+\begin{itemize}
+\item
+ The chart is three dimensional. However, the shadings add
+ nothing ``information-wise,'' at best, they distract.
+\item
+ In a 3D-pie-chart the relative sizes are very strongly
+ distorted. For example, the area taken up by the gray color of ``Braunkohle''
+ is larger than the area taken up by the green color of
+ ``Kernenergie'' \emph{despite the fact that the percentage of
+ Braunkohle is less than the percentage of Kernenergie}.
+\item
+ The 3D-distortion gets worse for small areas. The area of
+ ``Regenerative'' somewhat larger than the area of ``Erdgas.''
+ The area of ``Wind'' is slightly smaller than the area of
+ ``Mineral\"olprodukte'' \emph{although the percentage of Wind is
+ nearly three times larger than the percentage of
+ Mineral\"olprodukte.}
+
+ In the last case, the different sizes are only partly due to
+ distortion. The designer(s) of the original graphic have also made
+ the ``Wind'' slice too small, even taking distortion into
+ account. (Just compare the size of ``Wind'' to ``Regenerative'' in
+ general.)
+\item
+ 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.
+
+ Coal as an energy source is split up into two slices: one for
+ ``Steinkohle'' and one for ``Braunkohle'' (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.
+
+ 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, ``Regenerative''
+ and ``Wind'' are very closely linked.
+\item
+ The color coding of the graphic follows no logical pattern at
+ all. Why is nuclear energy green? Regenerative energy is light blue,
+ ``other sources'' are blue. It seems more like a joke that the area
+ for ``Braunkohle'' (which literally translates to ``brown coal'') is
+ stone gray, while the area for ``Steinkohle'' (which literally
+ translates to ``stone coal'') is brown.
+\item
+ The area with the lightest color is used for ``Erdgas.'' This area
+ stands out most because of the brighter color. However, for this
+ chart ``Erdgas'' is not really important at all.
+\end{itemize}
+Edward Tufte calls graphics like the above ``chart junk.''
+
+Here are a few recommendations that may help you avoid producing chart junk:
+\begin{itemize}
+\item
+ Do not use 3D pie charts. They are \emph{evil}.
+\item
+ Consider using a table instead of a pie chart.
+\item
+ Due not apply colors randomly; use them to direct the readers's
+ focus and to group things.
+\item
+ Do not use background patterns, like a crosshatch or diagonal
+ lines, instead of colors. They distract. Background patterns in
+ information graphics are \emph{evil}.
+\end{itemize}
+
+
+
+\subsection{Attention and Distraction}
+
+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.
+
+Good typography (like good organization) is something you do
+\emph{not} notice. The job of typography is to make reading the text,
+that is, ``absorbing'' 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.
+
+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 ``going on'' 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.
+
+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.
+
+The two principles ``avoid distractions'' and ``steer attention'' also
+apply to graphics. When you design a graphic, you should eliminate
+everything that will ``distract the eye.'' At the same time, you
+should try to actively help the reader ``through the graphic'' by
+using fonts/colors/line widths to highlight different parts.
+
+Here is a non-exhaustive list of things that can distract readers:
+\begin{itemize}
+\item
+ Strong contrasts will always be registered first by the eye. For
+ example, consider the following two grids:
+
+ \medskip\par
+ \begin{tikzpicture}[x=40pt,y=40pt]
+ \draw[step=10pt,gray] (0,0) grid +(1,1);
+ \draw[step=2pt] (2,0) grid +(1,1);
+ \end{tikzpicture}
+
+ \medskip
+ 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 ``places'' adding to the
+ overall contrast in the right grid.
+
+ 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.
+\item
+ 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.
+
+ 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 ``grouping things according to a dashing
+ pattern.'' The eye is \emph{much} better at grouping things
+ according to colors.
+\item
+ 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.
+\item
+ Background images and shadings distract and only seldom add
+ anything of importance to a graphic.
+\item
+ Cute little cliparts can easily draw attention away from the
+ data.
+\end{itemize}
+
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
new file mode 100644
index 00000000000..e925f6a599f
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-installation.tex
@@ -0,0 +1,182 @@
+% 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{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
+distributed, see Section~\ref{section-license}.
+
+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.
+
+
+\subsection{Package and Driver Versions}
+
+This documentation is part of version \pgfversion\ of the \pgfname\
+package. In order to run \pgfname, you need a reasonably recent
+\TeX\ installation. When using \LaTeX, you need the following packages
+installed (newer versions should also work):
+\begin{itemize}
+\item
+ |xcolor| version \xcolorversion.
+\item
+ |xkeyval| version \xkeyvalversion, if you wish to use \tikzname.
+\end{itemize}
+With plain \TeX, |xcolor| is not needed, but you obviously do not
+get its (full) functionality.
+
+Currently, \pgfname\ supports the following backend drivers:
+\begin{itemize}
+\item
+ |pdftex| version 0.14 or higher. Earlier versions do not work.
+\item
+ |dvips| version 5.94a or higher. Earlier versions may also work.
+\item
+ |dvipdfm| version 0.13.2c or higher. Earlier versions may also work.
+\item
+ |tex4ht| version 2003-05-05 or higher. Earlier versions may also work.
+\item
+ |vtex| version 8.46a or higher. Earlier versions may also work.
+\end{itemize}
+
+Currently, \pgfname\ supports the following formats:
+\begin{itemize}
+\item
+ |latex| with complete functionality.
+\item
+ |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.
+\end{itemize}
+
+For more details, see Section~\ref{section-formats}.
+
+
+
+\subsection{Installing Prebundled Packages}
+
+I do not create or manage prebundled packages of \pgfname, 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
+\emph{can} 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\TeX\ page first.
+
+
+\subsubsection{Debian}
+
+The command ``|aptitude install pgf|'' should do the trick. Sit back
+and relax. In detail, the following packages are installed:
+\begin{verbatim}
+http://packages.debian.org/pgf
+http://packages.debian.org/latex-xcolor
+\end{verbatim}
+
+
+\subsubsection{MiKTeX}
+
+For MiK\TeX, use the update wizard to install the (latest versions of
+the) packages called |pgf|, |xcolor|, and |xkeyval|.
+
+
+
+
+\subsection{Installation in a texmf Tree}
+
+For a permanent installation, you place the files of the
+the \textsc{pgf} package in an appropriate |texmf| tree.
+
+When you ask \TeX\ to use a certain class or package, it usually looks
+for the necessary files in so-called |texmf| trees. These trees
+are simply huge directories that contain these files. By default,
+\TeX\ looks for files in three different |texmf| trees:
+\begin{itemize}
+\item
+ The root |texmf| tree, which is usually located at
+ |/usr/share/texmf/| or |c:\texmf\| or somewhere similar.
+\item
+ The local |texmf| tree, which is usually located at
+ |/usr/local/share/texmf/| or |c:\localtexmf\| or somewhere similar.
+\item
+ Your personal |texmf| tree, which is usually located in your home
+ directory at |~/texmf/| or |~/Library/texmf/|.
+\end{itemize}
+
+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 \TeX\ installation will replace this whole tree.
+
+
+\subsubsection{Installation that Keeps Everything Together}
+
+Once you have located the right texmf tree, you must decide whether
+you want to install \pgfname\ in such a way that ``all its files are
+kept in one place'' or whether you want to be
+``\textsc{tds}-compliant,'' where \textsc{tds} means ``\TeX\ directory
+structure.''
+
+If you want to keep ``everything in one place,'' inside the |texmf|
+tree that you have chosen create a sub-sub-directory called
+|texmf/tex/generic/pgf| or
+|texmf/tex/generic/pgf-|\texttt{\pgfversion}, if you prefer. Then
+place all files of the |pgf| package in this directory. Finally,
+rebuild \TeX's filename database. This is done by running the command
+|texhash| or |mktexlsr| (they are the same). In Mik\TeX, there is a
+menu option to do this.
+
+
+\subsubsection{Installation that is TDS-Compliant}
+
+While the above installation process is the most ``natural'' one and
+although I would like to recommend it since it makes updating and
+managing the \pgfname\ package easy, it is not
+\textsc{tds}-compliant. If you want to be \textsc{tds}-compliant,
+proceed as follows: (If you do not know what \textsc{tds}-compliant
+means, you probably do not want to be \textsc{tds}-compliant.)
+
+The |.tar| file of the |pgf| package contains the following files and
+directories at its root: |README|, |doc|, |generic|, |plain|, and
+|latex|. You should ``merge'' each of the four directories with the
+following directories |texmf/doc|, |texmf/tex/generic|,
+|texmf/tex/plain|, and |texmf/tex/latex|. For example, in the |.tar|
+file the |doc| directory contains just the directory |pgf|, and this
+directory has to be moved to |texmf/doc/pgf|. The root |README| file
+can be ignored since it is reproduced in |doc/pgf/README|.
+
+You may also consider keeping everything in one place and using
+symbolic links to point from the \textsc{tds}-compliant directories to
+the central installation.
+
+\vskip1em
+For a more detailed explanation of the standard installation process
+of packages, you might wish to consult
+\href{http://www.ctan.org/installationadvice/}{|http://www.ctan.org/installationadvice/|}.
+However, note that the \pgfname\ package does not come with a
+|.ins| file (simply skip that part).
+
+
+\subsection{Updating the Installation}
+
+To update your installation from a previous version, all you need to
+do is to replace everything in the directory |texmf/tex/generic/pgf|
+with the files of the new version (or in all the directories where
+|pgf| was installed, if you chose a \textsc{tds}-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.
+
+
+\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
new file mode 100644
index 00000000000..fd67dafc38c
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@@ -0,0 +1,236 @@
+% 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{Introduction}
+
+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
+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
+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
+changes require a long recompilation time, and the code does not
+really ``show'' how things will look like.
+
+
+
+\subsection{Structure of the System}
+
+The \pgfname\ system consists of different layers:
+
+\begin{description}
+\item[System layer:] This layer provides a complete abstraction of what is
+ going on ``in the driver.'' The driver is a program like |dvips| or
+ |dvipdfm| that takes a |.dvi| file as input and generates a |.ps| or
+ a |.pdf| file. (The |pdftex| program also counts as a driver, even
+ though it does not take a |.dvi| 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. \pgfname's system layer ``abstracts away'' these
+ differences. For example, the system command
+ |\pgfsys@lineto{10pt}{10pt}| extends the current path to the coordinate
+ $(10\mathrm{pt},10\mathrm{pt})$ of the current
+ |{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}.
+
+ 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
+ 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
+ will want to have a simple command to create circles
+ (at least I do) instead of having to write down half a page of
+ Bézier curve support coordinates. Thus, the basic layer provides a
+ command |\pgfpathcircle| that generates the necessary curve
+ coordinates for you.
+
+ The basic layer is consists of a \emph{core}, which consists of
+ several interdependent packages that can only be loaded \emph{en
+ bloc,} and additional packages that extend the core by more
+ special-purpose commands like node management or a plotting
+ interface. For instance, the \textsc{beamer} package uses the core,
+ but not all of the additional packages of the basic layer.
+\item[Frontend layer:]
+ 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 ``verbose.'' 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 |tikz| frontend
+ all this boils down to a single simple \textsc{metafont}-like
+ command:
+\begin{verbatim}
+\draw (0,0) -- (1,0) -- (1,1) -- cycle;
+\end{verbatim}
+
+ There are different frontends:
+ \begin{itemize}
+ \item
+ The \tikzname\ frontend is the ``natural'' frontend for \pgfname. It gives
+ you access to all features of \pgfname, but it is intended to be
+ easy to use. The syntax is a mixture of \textsc{metafont} and
+ \textsc{pstricks} and some ideas of myself. This frontend is
+ \emph{neither} a complete \textsc{metafont} compatibility layer nor
+ a \textsc{pstricks} compatibility layer and it is not intended to
+ become either.
+ \item
+ The |pgfpict2e| frontend reimplements the standard \LaTeX\
+ |{picture}| environment and commands like |\line| or |\vector|
+ using the \pgfname\ basic layer. This layer is not really ``necessary''
+ since the |pict2e.sty| package does at least as good a job at
+ reimplementing the |{picture}| environment. Rather, the idea
+ behind this package is to have a simple demonstration of how a
+ frontend can be implemented.
+ \end{itemize}
+
+ It would be possible to implement a |pgftricks| frontend that maps
+ \textsc{pstricks} commands to \pgfname\ commands. However, I have not
+ done this and even if fully implemented, many things that work in
+ \pstricks\ will not work, namely whenever some \pstricks\ command
+ relies too heavily on PostScript trickery. Nevertheless, such a
+ package might be useful in some situations.
+\end{description}
+
+As a user of \pgfname\ 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.
+
+
+
+\subsection{Comparison with Other Graphics Packages}
+
+There were two main motivations for creating \pgfname:
+\begin{enumerate}
+\item
+ The standard \LaTeX\ |{picture}| 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
+ \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
+ 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.
+\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}
+
+The \pgfname\ package include a special subpackage called |pgfpages|,
+which is used to assemble several pages into a single page. This
+package is not really about creating graphics, but it is part of \pgfname\
+nevertheless, mostly because its implementation uses \pgfname\ heavily.
+
+The subpackage |pgfpages| provides commands for assembling several
+``virtual pages'' into a single ``physical page.'' The idea is that
+whenever \TeX\ has a page ready for ``shipout,'' |pgfpages| interrupts
+this shipout and instead stores the page to be shipped out in a
+special box. When enough ``virtual pages'' have been accumulated in
+this way, they are scaled down and arranged on a ``physical page,''
+which then \emph{really} shipped out. This mechanism allows you to
+create ``two page on one page'' versions of a document directly inside
+\LaTeX\ without the use of any external programs.
+
+However, |pgfpages| 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.
+
+
+
+
+\subsection{How to Read This Manual}
+
+This manual describes both the design of the \pgfname\ system and
+its usage. The organization is very roughly according to
+``user-friendliness.'' The commands and subpackages that are easiest
+and most frequently used are described first, more low-level and
+esoteric features are discussed later.
+
+If you have not yet installed \pgfname, 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 \tikzname. 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 \pgfname\ to a new driver.
+
+The ``public'' commands and environments provided by the |pgf| 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.
+
+
+
+\subsection{Getting Help}
+
+When you need help with \pgfname\ and \tikzname, please do the
+following:
+
+\begin{enumerate}
+\item
+ Read the manual, at least the part that has to do with your problem.
+\item
+ If that does not solve the problem, try having a look at the
+ sourceforge development page for \pgfname\ and \tikzname\ (see the
+ title of this document). Perhaps someone has already reported a
+ similar problem and someone has found a solution.
+\item
+ 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.
+\item
+ 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 |.log| file that results when you \TeX\ your
+ files. This |.log| 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 |.log| file.
+\item
+ \emph{As a last resort} 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 \pgfname\ mailing list
+ (naturally, I read this list and answer questions when I have the
+ time).
+\item
+ Please, do not phone me in my office. If you need a hotline, buy a
+ commercial product.
+\end{enumerate}
+
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
new file mode 100644
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--- /dev/null
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@@ -0,0 +1,1094 @@
+% 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-license.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-license.tex
new file mode 100644
index 00000000000..16b158e11a2
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-license.tex
@@ -0,0 +1,326 @@
+% $Header: /cvsroot/pgf/pgf/doc/pgf/text-en/pgfmanual-en-license.tex,v 1.1 2005/09/02 16:05:42 tantau Exp $
+
+% Copyright 2003, 2004 by Till Tantau <tantau@users.sourceforge.net>.
+%
+% This program can be redistributed and/or modified under the terms
+% of the GNU Public License, version 2.
+
+
+\subsection{License: The GNU Public License, Version 2}
+\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):
+
+\subsubsection{Preamble}
+
+The licenses for most software are designed to take away your freedom to
+share and change it. By contrast, the \textsc{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 \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
+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.
+
+\subsubsection{Terms and Conditions For Copying, Distribution and
+ Modification}
+
+\begin{enumerate}
+
+\addtocounter{enumi}{-1}
+
+\item
+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.
+
+\item 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.
+
+\item
+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:
+
+\begin{enumerate}
+
+\item
+You must cause the modified files to carry prominent notices stating that
+you changed the files and the date of any change.
+
+\item
+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.
+
+\item
+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.)
+
+\end{enumerate}
+
+
+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.
+
+\item
+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:
+
+\begin{enumerate}
+
+\item
+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,
+
+\item
+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,
+
+\item
+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.)
+
+\end{enumerate}
+
+
+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.
+
+\item
+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.
+
+\item
+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.
+
+\item
+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.
+
+\item
+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.
+
+\item
+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.
+
+\item
+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.
+
+\item
+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.
+
+\end{enumerate}
+
+\subsubsection{No Warranty}
+
+\begin{enumerate}
+
+\addtocounter{enumi}{9}
+
+\item
+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.
+
+\item
+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{enumerate}
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "beameruserguide"
+%%% End:
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
new file mode 100644
index 00000000000..992375bc778
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-main.tex
@@ -0,0 +1,352 @@
+% 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.
+
+% pgf version is defined in \pgfversion in file
+% generic/pgf/utilities/pgfrcs.code.tex
+
+\def\xcolorversion{2.00}
+\def\xkeyvalversion{1.8}
+
+\usepackage[version=0.96]{pgf}
+\usepackage{tikz}
+\usepackage{pgflibraryarrows}
+\usepackage{pgflibraryshapes}
+\usepackage{pgflibrarysnakes}
+\usepackage{pgflibraryautomata}
+\usepackage{pgflibraryplotmarks}
+\usepackage{pgflibrarytikzbackgrounds}
+\usepackage{pgflibrarytikztrees}
+\usepackage[left=2.25cm,right=2.25cm,top=2.5cm,bottom=2.5cm,nohead]{geometry}
+\usepackage{amsmath,amssymb}
+\usepackage{xxcolor}
+\usepackage{pifont}
+\usepackage{makeidx}
+\usepackage[latin1]{inputenc}
+\usepackage{amsmath}
+
+\input{../../macros/pgfmanual-en-macros}
+
+\makeindex
+
+\makeatletter
+\renewcommand*\l@subsection{\@dottedtocline{2}{1.5em}{2.8em}}
+\renewcommand*\l@subsubsection{\@dottedtocline{3}{4.3em}{3.2em}}
+\makeatother
+
+%\includeonly{pgfmanual-en-tikz-shapes}
+
+% Global styles:
+\tikzstyle{every plot}=[prefix=plots/pgf-]
+\tikzstyle{shape example}=[color=black!30,draw,fill=yellow!30,line width=.5cm,inner xsep=2.5cm,inner ysep=0.5cm]
+
+\index{Options for graphics|see{Graphic options}}
+\index{Options for packages|see{Package options}}
+\index{File|see{Packages and files}}
+\index{Layout|see{Page layout}}
+
+\begin{document}
+
+{
+ \parindent0pt
+\vbox{}
+\vskip 3.5cm
+\Huge
+\tikzname\ and \pgfname
+
+\Large
+Manual for Version \pgfversion
+
+\vskip 3cm
+
+\begin{codeexample}[graphic=white]
+\tikzstyle{level 1}=[sibling angle=120]
+\tikzstyle{level 2}=[sibling angle=60]
+\tikzstyle{level 3}=[sibling angle=30]
+\tikzstyle{every node}=[fill]
+\tikzstyle{edge from parent}=[snake=expanding waves,segment length=1mm,segment angle=10,draw]
+
+\tikz [grow cyclic,shape=circle,very thick,level distance=13mm,cap=round]
+ \node {} child [color=\A] foreach \A in {red,green,blue}
+ { node {} child [color=\A!50!\B] foreach \B in {red,green,blue}
+ { node {} child [color=\A!50!\B!50!\C] foreach \C in {black,gray,white}
+ { node {} }
+ }
+ };
+\end{codeexample}
+\vskip 0cm plus 1.5fill
+\vbox{}
+\clearpage
+}
+
+{
+ \vbox{}
+ \vskip0pt plus 1fill
+ Für meinen Vater, damit er noch viele schöne \TeX-Graphiken erschaffen kann.
+ \vskip0pt plus 3fill
+ \vbox{}
+ \clearpage
+}
+
+
+\title{The \tikzname\ and \pgfname\ Packages\\
+ 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}}}
+
+\maketitle
+
+\tableofcontents
+
+\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.
+
+\vskip3cm
+
+\begin{codeexample}[graphic=white,width=0pt]
+\tikz \draw[thick,rounded corners=8pt]
+ (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-guidelines}
+\include{pgfmanual-en-drivers}
+
+
+\part{Ti\emph{k}Z ist \emph{kein} Zeichenprogramm}
+\label{part-tikz}
+
+\vskip3cm
+\begin{codeexample}[graphic=white]
+\begin{tikzpicture}
+ \draw[fill=yellow] (0,0) -- (60:.75cm) arc (60:180:.75cm);
+ \draw(120:0.4cm) node {$\alpha$};
+
+ \draw[fill=green!30] (0,0) -- (right:.75cm) arc (0:60:.75cm);
+ \draw(30:0.5cm) node {$\beta$};
+
+ \begin{scope}[shift={(60:2cm)}]
+ \draw[fill=green!30] (0,0) -- (180:.75cm) arc (180:240:.75cm);
+ \draw (30:-0.5cm) node {$\gamma$};
+
+ \draw[fill=yellow] (0,0) -- (240:.75cm) arc (240:360:.75cm);
+ \draw (-60:0.4cm) node {$\delta$};
+ \end{scope}
+
+ \begin{scope}[thick]
+ \draw (60:-1cm) node[fill=white] {$E$} -- (60:3cm) node[fill=white] {$F$};
+ \draw[red] (-2,0) node[left] {$A$} -- (3,0) node[right]{$B$};
+ \draw[blue,shift={(60:2cm)}] (-3,0) node[left] {$C$} -- (2,0) node[right]{$D$};
+
+ \draw[shift={(60:1cm)},xshift=4cm]
+ node [right,text width=6cm,rounded corners,fill=red!20,inner sep=1ex]
+ {
+ When we assume that $\color{red}AB$ and $\color{blue}CD$ are
+ parallel, i.\,e., ${\color{red}AB} \mathbin{\|} \color{blue}CD$,
+ then $\alpha = \delta$ and $\beta = \gamma$.
+ };
+ \end{scope}
+\end{tikzpicture}
+\end{codeexample}
+
+
+
+\include{pgfmanual-en-tikz-design}
+\include{pgfmanual-en-tikz-scopes}
+\include{pgfmanual-en-tikz-coordinates}
+\include{pgfmanual-en-tikz-paths}
+\include{pgfmanual-en-tikz-actions}
+\include{pgfmanual-en-tikz-shapes}
+\include{pgfmanual-en-tikz-trees}
+\include{pgfmanual-en-tikz-transformations}
+
+
+
+\part{Libraries and Utilities}
+\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.
+
+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
+\begin{codeexample}[graphic=white]
+\begin{tikzpicture}[scale=2]
+ \shade[top color=blue,bottom color=gray!50] (0,0) parabola (1.5,2.25) |- (0,0);
+ \draw (1.05cm,2pt) node[above] {$\displaystyle\int_0^{3/2} \!\!x^2\mathrm{d}x$};
+
+ \draw[style=help lines] (0,0) grid (3.9,3.9)
+ [step=0.25cm] (1,2) grid +(1,1);
+
+ \draw[->] (-0.2,0) -- (4,0) node[right] {$x$};
+ \draw[->] (0,-0.2) -- (0,4) node[above] {$f(x)$};
+
+ \foreach \x/\xtext in {1/1, 1.5/1\frac{1}{2}, 2/2, 3/3}
+ \draw[shift={(\x,0)}] (0pt,2pt) -- (0pt,-2pt) node[below] {$\xtext$};
+
+ \foreach \y/\ytext in {1/1, 2/2, 2.25/2\frac{1}{4}, 3/3}
+ \draw[shift={(0,\y)}] (2pt,0pt) -- (-2pt,0pt) node[left] {$\ytext$};
+
+ \draw (-.5,.25) parabola bend (0,0) (2,4) node[below right] {$x^2$};
+\end{tikzpicture}
+\end{codeexample}
+
+\include{pgfmanual-en-libraries}
+\include{pgfmanual-en-pgffor}
+\include{pgfmanual-en-pages}
+\include{pgfmanual-en-xxcolor}
+
+
+
+\part{The Basic Layer}
+
+\vskip1cm
+\begin{codeexample}[graphic=white]
+\begin{tikzpicture}
+ \draw[gray,very thin] (-1.9,-1.9) grid (2.9,3.9)
+ [step=0.25cm] (-1,-1) grid (1,1);
+ \draw[blue] (1,-2.1) -- (1,4.1); % asymptote
+
+ \draw[->] (-2,0) -- (3,0) node[right] {$x(t)$};
+ \draw[->] (0,-2) -- (0,4) node[above] {$y(t)$};
+
+ \foreach \pos in {-1,2}
+ \draw[shift={(\pos,0)}] (0pt,2pt) -- (0pt,-2pt) node[below] {$\pos$};
+
+ \foreach \pos in {-1,1,2,3}
+ \draw[shift={(0,\pos)}] (2pt,0pt) -- (-2pt,0pt) node[left] {$\pos$};
+
+ \fill (0,0) circle (0.064cm);
+ \draw[thick,parametric,domain=0.4:1.5,samples=200]
+ % The plot is reparameterised such that there are more samples
+ % near the center.
+ plot[id=asymptotic-example] function{(t*t*t)*sin(1/(t*t*t)),(t*t*t)*cos(1/(t*t*t))}
+ node[right] {$\bigl(x(t),y(t)\bigr) = (t\sin \frac{1}{t}, t\cos \frac{1}{t})$};
+
+ \fill[red] (0.63662,0) circle (2pt)
+ node [below right,fill=white,yshift=-4pt] {$(\frac{2}{\pi},0)$};
+\end{tikzpicture}
+\end{codeexample}
+
+
+\include{pgfmanual-en-base-design}
+\include{pgfmanual-en-base-scopes}
+\include{pgfmanual-en-base-points}
+\include{pgfmanual-en-base-paths}
+\include{pgfmanual-en-base-snakes}
+\include{pgfmanual-en-base-actions}
+\include{pgfmanual-en-base-arrows}
+\include{pgfmanual-en-base-nodes}
+\include{pgfmanual-en-base-transformations}
+\include{pgfmanual-en-base-images}
+\include{pgfmanual-en-base-shadings}
+\include{pgfmanual-en-base-plots}
+\include{pgfmanual-en-base-layers}
+\include{pgfmanual-en-base-quick}
+
+
+
+
+\part{The System Layer}
+\label{part-system}
+
+This part describes the low-level interface of \pgfname, called the
+\emph{system layer}. This interface provides a complete abstraction of
+the internals of the underlying drivers.
+
+Unless you intend to port \pgfname\ to another driver or unless you intend
+to write your own optimized frontend, you need not read this part.
+
+In the following it is assumed that you are familiar with the basic
+workings of the |graphics| package and that you know what
+\TeX-drivers are and how they work.
+
+\vskip1cm
+\begin{codeexample}[graphic=white]
+\begin{tikzpicture}[shorten >=1pt,->]
+ \tikzstyle{vertex}=[circle,fill=black!25,minimum size=17pt,inner sep=0pt]
+
+ \foreach \name/\x in {s/1, 2/2, 3/3, 4/4, 15/11, 16/12, 17/13, 18/14, 19/15, t/16}
+ \node[vertex] (G-\name) at (\x,0) {$\name$};
+
+ \foreach \name/\angle/\text in {P-1/234/5, P-2/162/6, P-3/90/7, P-4/18/8, P-5/-54/9}
+ \node[vertex,xshift=6cm,yshift=.5cm] (\name) at (\angle:1cm) {$\text$};
+
+ \foreach \name/\angle/\text in {Q-1/234/10, Q-2/162/11, Q-3/90/12, Q-4/18/13, Q-5/-54/14}
+ \node[vertex,xshift=9cm,yshift=.5cm] (\name) at (\angle:1cm) {$\text$};
+
+ \foreach \from/\to in {s/2,2/3,3/4,3/4,15/16,16/17,17/18,18/19,19/t}
+ \draw (G-\from) -- (G-\to);
+
+ \foreach \from/\to in {1/2,2/3,3/4,4/5,5/1,1/3,2/4,3/5,4/1,5/2}
+ { \draw (P-\from) -- (P-\to); \draw (Q-\from) -- (Q-\to); }
+
+ \draw (G-3) .. controls +(-30:2cm) and +(-150:1cm) .. (Q-1);
+ \draw (Q-5) -- (G-15);
+\end{tikzpicture}
+\end{codeexample}
+
+\include{pgfmanual-en-pgfsys-overview}
+\include{pgfmanual-en-pgfsys-commands}
+\include{pgfmanual-en-pgfsys-paths}
+\include{pgfmanual-en-pgfsys-protocol}
+
+
+
+\part{References and Index}
+
+\vskip1cm
+\begin{codeexample}[graphic=white]
+\begin{tikzpicture}
+ \draw[line width=0.3cm,color=red!30,cap=round,join=round] (0,0)--(2,0)--(2,5);
+ \draw[help lines] (-2.5,-2.5) grid (5.5,7.5);
+ \draw[very thick] (1,-1)--(-1,-1)--(-1,1)--(0,1)--(0,0)--
+ (1,0)--(1,-1)--(3,-1)--(3,2)--(2,2)--(2,3)--(3,3)--
+ (3,5)--(1,5)--(1,4)--(0,4)--(0,6)--(1,6)--(1,5)
+ (3,3)--(4,3)--(4,5)--(3,5)--(3,6)
+ (3,-1)--(4,-1);
+ \draw[below left] (0,0) node(s){$s$};
+ \draw[below left] (2,5) node(t){$t$};
+ \fill (0,0) circle (0.06cm) (2,5) circle (0.06cm);
+ \draw[->,rounded corners=0.2cm,shorten >=2pt]
+ (1.5,0.5)-- ++(0,-1)-- ++(1,0)-- ++(0,2)-- ++(-1,0)-- ++(0,2)-- ++(1,0)--
+ ++(0,1)-- ++(-1,0)-- ++(0,-1)-- ++(-2,0)-- ++(0,3)-- ++(2,0)-- ++(0,-1)--
+ ++(1,0)-- ++(0,1)-- ++(1,0)-- ++(0,-1)-- ++(1,0)-- ++(0,-3)-- ++(-2,0)--
+ ++(1,0)-- ++(0,-3)-- ++(1,0)-- ++(0,-1)-- ++(-6,0)-- ++(0,3)-- ++(2,0)--
+ ++(0,-1)-- ++(1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+\printindex
+
+\end{document}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "~/texmf/tex/generic/pgf/doc/pgf/version-for-pdftex/en/pgfmanual"
+%%% End:
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
new file mode 100644
index 00000000000..3b6480b4f8e
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pages.tex
@@ -0,0 +1,670 @@
+% 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{Page Management}
+
+This section describes the |pgfpages| packages. Although this package
+is not concerned with creating pictures, its implementation relies so
+heavily on \pgfname\ that it is documented here. Currently, |pgfpages|
+only works with \LaTeX, but if you are adventurous, feel free to hack
+the code so that it also works with plain \TeX.
+
+The aim of |pgfpages| is to provide a flexible way of putting multiple
+pages on a single page \emph{inside \TeX}. Thus, |pgfpages| is quite
+different from useful tools like |psnup| or |pdfnup| insofar as it
+creates its output in a single pass. Furthermore, it works uniformly
+with both |latex| and |pdflatex|, making it easy to put multiple pages
+on a single page without any fuss.
+
+A word of warning: \emph{using |pgfpages| will destroy
+ hyperlinks}. 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 \pdf\ specification: In \pdf\ the
+bounding rectangle of a hyperlink is given in ``absolute
+page coordinates'' and translations or rotations do not affect
+them. Thus, the transformations applied by |pgfpages| 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.
+
+
+\subsection{Basic Usage}
+
+The internals of |pgfpages| are complex since the package can do all
+sorts of interesting tricks. For this reason, so-called \emph{layouts}
+are predefined that setup all option in appropriate ways.
+
+You use a layout as follows:
+\begin{codeexample}[code only]
+\documentclass{article}
+
+\usepackage{pgfpages}
+\pgfpagesuselayout{2 on 1}[a4paper,landscape,border shrink=5mm]
+
+\begin{document}
+This text is shown on the left.
+\clearpage
+This text is shown on the right.
+\end{document}
+\end{codeexample}
+
+The layout |2 on 1| puts two pages on a single page. The option
+|a4paper| tells |pgfpages| that the \emph{resulting} page (called the
+\emph{physical} page in the following) should be |a4paper| and it
+should be landscape (which is quite logical since putting two portrait
+pages next to each other gives a landscape page). Normally, the
+\emph{logical} pages, that is, the pages that \TeX\ ``thinks'' that it
+is typesetting, will have the same sizes, but this need not be the
+case. |pgfpages| will automatically scale down the logical pages such
+that two logical pages fit next to each other inside a DIN A4 page.
+
+The |border shrink| tells |pgfpages| that it should add an additional
+5mm to the shrinking such that a 5mm-wide border is shown around the
+resulting logical pages.
+
+As a second example, let us put two pages produced by the
+\textsc{beamer} class on a single page:
+
+\begin{codeexample}[code only]
+\documentclass{beamer}
+
+\usepackage{pgfpages}
+\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
+
+\begin{document}
+\begin{frame}
+ This text is shown at the top.
+\end{frame}
+\begin{frame}
+ This text is shown at the bottom.
+\end{frame}
+\end{document}
+\end{codeexample}
+
+Note that we do not use the |landscape| option since \textsc{beamer}'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 |4 on 1| layout, you would have had to add |landscape|
+once more, using the |8 on 1| you must not, using |16 on 1| you need
+it yet again. And, no, there is no |32 on 1| layout.
+
+Another word of caution: \emph{using |pgfpages| will produce wrong
+ page numbers in the |.aux| file}. The reason is that \TeX\
+instantiates the page numbers when writing an |.aux| file only when
+the physical page is shipped out. Fortunately, this problem is easy to
+fix: First, typeset our file normally without using the
+|\pgfpagesuselayout| command (just put the comment marker |%| before it)
+Then, rerun \TeX\ with the |\pgfpagesuselayout| command included and add
+the command |\nofiles|. This command ensures that the |.aux| file is
+not modified, which is exactly what you want. So, to typeset the above
+example, you should actually first \TeX\ the following file:
+
+\begin{codeexample}[code only]
+\documentclass{article}
+
+\usepackage{pgfpages}
+%%\pgfpagesuselayout{2 on 1}[a4paper,landscape,border shrink=5mm]
+%%\nofiles
+
+\begin{document}
+This text is shown on the left.
+\clearpage
+This text is shown on the right.
+\end{document}
+\end{codeexample}
+and then typeset
+\begin{codeexample}[code only]
+\documentclass{article}
+
+\usepackage{pgfpages}
+\pgfpagesuselayout{2 on 1}[a4paper,landscape,border shrink=5mm]
+\nofiles
+
+\begin{document}
+This text is shown on the left.
+\clearpage
+This text is shown on the right.
+\end{document}
+\end{codeexample}
+
+The final basic example is the |resize to| layout (it works a bit like
+a hypothetical |1 on 1| 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 |.aux| files
+with this layout. For example, adding the following lines will ensure
+that the physical output will fit on DIN A4 paper:
+\begin{codeexample}[code only]
+\usepackage{pgfpages}
+\pgfpagesuselayout{resize to}[a4paper]
+\end{codeexample}
+
+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:
+\begin{codeexample}[code only]
+\documentclass[a4paper]{article}
+%% a4 is currently the logical size and also the physical size
+
+\usepackage{pgfpages}
+\pgfpagesuselayout{resize to}[letterpaper]
+%% a4 is still the logical size, but letter is the physical one
+
+\begin{document}
+ \title{My Great Article}
+...
+\end{document}
+\end{codeexample}
+
+
+
+\subsection{The Predefined Layouts}
+
+This section explains the predefined layouts in more detail. You
+select a layout using the following command:
+\begin{command}{\pgfpagesuselayout\marg{layout}\oarg{options}}
+ Installs the specified \meta{layout} with the given \meta{options}
+ set. The predefined layouts and their permissible options are
+ explained below.
+
+ If this function is called multiple times, only the last call
+ ``wins.'' You can thereby overwrite any previous settings. In
+ particular, layouts \emph{do not} accumulate.
+
+ \example |\pgfpagesuselayout{resize to}[a4paper]|
+\end{command}
+
+\begin{pgflayout}{resize to}
+ 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:
+ \begin{itemize}
+ \item
+ \declare{|physical paper height=|\meta{size}} sets the
+ height of the physical pape size to \meta{size}.
+ \item
+ \declare{|physical paper width=|\meta{size}} sets the
+ width of the physical pape size to \meta{size}.
+ \item
+ \declare{|a0paper|} sets the physical page size to DIN A0 paper.
+ \item
+ \declare{|a1paper|} sets the physical page size to DIN A1 paper.
+ \item
+ \declare{|a2paper|} sets the physical page size to DIN A2 paper.
+ \item
+ \declare{|a3paper|} sets the physical page size to DIN A3 paper.
+ \item
+ \declare{|a4paper|} sets the physical page size to DIN A4 paper.
+ \item
+ \declare{|a5paper|} sets the physical page size to DIN A5 paper.
+ \item
+ \declare{|a6paper|} sets the physical page size to DIN A6 paper.
+ \item
+ \declare{|letterpaper|} sets the physical page size to the
+ American letter paper size.
+ \item
+ \declare{|legalpaper|} sets the physical page size to the
+ American legal paper size.
+ \item
+ \declare{|executivepaper|} sets the physical page size to the
+ American executive paper size.
+ \item
+ \declare{|landscape|} swaps the height and the width of the
+ physical paper.
+ \item
+ \declare{|border shrink=|\meta{size}} additionally reduces the
+ size of the logical page on the physical page by \meta{size}.
+ \end{itemize}
+\end{pgflayout}
+
+\begin{pgflayout}{2 on 1}
+ 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
+ |\nofiles| command, but this is not done automatically.
+
+ The same \meta{options} as for the |resize to| layout an be used,
+ plus the following option:
+ \begin{itemize}
+ \item
+ \declare{|odd numbered pages right|}
+ places the first page on the right.
+ \end{itemize}
+\end{pgflayout}
+
+
+\begin{pgflayout}{4 on 1}
+ Puts four logical pages on a single physical page.
+ The same \meta{options} as for the |resize to| layout an be used.
+\end{pgflayout}
+
+\begin{pgflayout}{8 on 1}
+ Puts eight logical pages on a single physical page. As for |2 on 1|,
+ the orientation depends on whether the logical pages are in
+ landscape mode or in portrait mode.
+\end{pgflayout}
+
+\begin{pgflayout}{16 on 1}
+ This is for the \textsc{ceo}.
+\end{pgflayout}
+
+\begin{pgflayout}{rounded corners}
+ \label{layout-rounded-corners}
+ This layout adds ``rounded corners'' 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.
+
+ Note that every logical page should fill its background for this to
+ work.
+
+ In addition to the \meta{options} that can be given to |resize to|
+ the following options may be given.
+ \begin{itemize}
+ \item \declare{|corner width=|\meta{size}} specifies the size of
+ the corner.
+ \end{itemize}
+
+ \begin{codeexample}[code only]
+\documentclass{beamer}
+\usepackage{pgfpages}
+\pgfpagesuselayout{rounded corners}[corner width=5pt]
+\begin{document}
+...
+\end{document}
+\end{codeexample}
+\end{pgflayout}
+
+\begin{pgflayout}{two screens with lagging second}
+ 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
+ ``lags behind'' 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.
+
+ The following \meta{options} may be given:
+ \begin{itemize}
+ \item \declare{|second right|} 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.
+ \item \declare{|second left|} puts the second page left,
+ otherwise it behave the same as |second right|.
+ \item \declare{|second bottom|} puts the second page below the main
+ page. This make the physical pages twice as high as the logical
+ ones.
+ \item \declare{|second top|} works like |second bottom|.
+ \end{itemize}
+\end{pgflayout}
+
+\begin{pgflayout}{two screens with optional second}
+ This layout works similarly to
+ |two screens with lagging second|. The difference is that the
+ contents of the second screen only changes when one of the commands
+ |\pgfshipoutlogicalpage{2}|\marg{box} or
+ |\pgfcurrentpagewillbelogicalpage{2}| is called. The first puts the
+ given \meta{box} on the second page. The second specifies that the
+ current page should be put there, once it is finished.
+
+ The same options as for |two screens with lagging second| may be
+ given.
+\end{pgflayout}
+
+
+
+You can define your own predefined layouts using the following
+command:
+
+\begin{command}{\pgfpagesdeclarelayout\marg{layout}\marg{before
+ actions}\marg{after actions}}
+ This command predefines a \meta{layout} that can later be installed
+ using the |\pgfpagesuselayout| command.
+
+ When |\pgfpagesuselayout|\marg{layout}\oarg{options} is called, the
+ following happens: First, the \meta{before actions} are
+ executed. They can be used, for example, to setup default values for
+ keys. Next, |\setkeys{pgfpagesuselayoutoption}|\marg{options} is
+ executed. Finally, the \meta{after actions} are executed.
+
+ Here is an example:
+\begin{codeexample}[code only]
+\pgfpagesdeclarelayout{resize to}
+{
+ \def\pgfpageoptionborder{0pt}
+}
+{
+ \pgfpagesphysicalpageoptions
+ {%
+ logical pages=1,%
+ physical height=\pgfpageoptionheight,%
+ physical width=\pgfpageoptionwidth%
+ }
+ \pgfpageslogicalpageoptions{1}
+ {%
+ resized width=\pgfphysicalwidth,%
+ resized height=\pgfphysicalheight,%
+ border shrink=\pgfpageoptionborder,%
+ center=\pgfpoint{.5\pgfphysicalwidth}{.5\pgfphysicalheight}%
+ }%
+}
+\end{codeexample}
+\end{command}
+
+
+
+
+\subsection{Defining a Layout}
+
+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.
+
+Basically, |pgfpages| hooks into \TeX's |\shipout| function. This
+function is called whenever \TeX\ has completed typesetting a page and
+wishes to send this page to the |.dvi| or |.pdf| file. The |pgfpages|
+package redefines this command. Instead of sending the page to the output
+file, |pgfpages| stores it in an internal box and then acts as if the
+page had been output. When \TeX\ tries to output the next page using
+|\shipout|, this call is once more intercepted and the page is stored
+in another box. These boxes are called \emph{logical pages}.
+
+At some point, enough logical pages have been accumulated such that a
+\emph{physical page} can be output. When this happens, |pgfpages|
+possibly scales, rotates, and translates the logical pages (and
+possibly even does further modifications) and then puts them at
+certain positions of the \emph{physical} page. Once this page is fully
+assembled, the ``real'' or ``original'' |\shipout| is called to
+send the physical page to the output file.
+
+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 \emph{other} logical pages.
+
+A \emph{layout} 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:
+
+\begin{command}{\pgfpagesphysicalpageoptions\marg{options}}
+ This command sets the characteristic of the ``physical'' 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 |\pgfpageslogicalpageoptions|, described
+ later.
+
+ \example A layout for putting two portrait pages on a single
+ landscape page:
+\begin{codeexample}[code only]
+\pgfpagesphysicalpageoptions
+{%
+ logical pages=2,%
+ physical height=\paperwidth,%
+ physical width=\paperheight,%
+}
+
+\pgfpageslogicalpageoptions{1}
+{%
+ resized width=.5\pgfphysicalwidth,%
+ resized height=\pgfphysicalheight,%
+ center=\pgfpoint{.25\pgfphysicalwidth}{.5\pgfphysicalheight}%
+}%
+\pgfpageslogicalpageoptions{2}
+{%
+ resized width=.5\pgfphysicalwidth,%
+ resized height=\pgfphysicalheight,%
+ center=\pgfpoint{.75\pgfphysicalwidth}{.5\pgfphysicalheight}%
+}%
+\end{codeexample}
+
+ The following \meta{options} may be set:
+ \begin{itemize}
+ \item \declare{|logical pages=|\meta{logical pages}} specified how many
+ logical pages there are, in total. These are numbered 1 to
+ \meta{logical pages}.
+ \item \declare{|first logical shipout=|\meta{first}}. See the the
+ next option. By default, \meta{first} is 1.
+ \item \declare{|last logical shipout=|\meta{last}}. Together
+ with the previous option, these two options define an interval of
+ pages inside the range 1 to \meta{logical pages}. Only this range
+ is used to store the pages that are shipped out by \TeX. This
+ means that after a physical shipout has just occured (or at the
+ beginning), the first time \TeX\ wishes to perform a shipout, the
+ page to be shipped out is stored in logical page \meta{first}. The
+ next time \TeX\ performs a shipout, the page is stored in logical
+ page $\meta{first} +1$ and so on, until the logical page
+ \meta{last} is also filled. Once this happens, a physical shipout
+ occurs and the process starts once more.
+
+ Note that logical pages that lie outside the interval between
+ \meta{first} and \meta{last} are filled only indirectly or when
+ special commands are used.
+
+ By default, \meta{last} equals \meta{logical pages}.
+ \item \declare{|current logical shipout=|\meta{current}} changes
+ an internal counter such that \TeX's next logical shipout will be
+ stored in logical page \meta{current}.
+
+ This option can be used to ``warp'' 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
+ \meta{current} has been filled, the internal counter is
+ incremented normally as if the logical page \meta{current} had
+ been ``reached'' normally. If you specify a \meta{current} larger
+ to \meta{last}, a physical shipout will occur after the logical
+ page \meta{current} has been filled.
+ \item
+ \declare{|physical height=|\meta{height}}
+ specifies the height of the physical pages. This height is
+ typically different from the normal |\paperheight|, which is used
+ by \TeX\ for its typesetting and page breaking purposes.
+ \item
+ \declare{|physical width=|\meta{width}}
+ specifies the physical width.
+ \end{itemize}
+\end{command}
+
+
+\begin{command}{\pgfpageslogicalpageoptions\marg{logical page number}\marg{options}}
+ This command is used to specify where the logical page number
+ \meta{logical page number} will be placed on the physical page. In
+ addition, this command can be used to install additional ``code'' to
+ be executed when this page is put on the physical page.
+
+ The number \meta{logical page number} should be between 1 and
+ \meta{logical pages}, which has previously been installed using the
+ |\pgfpagesphysicalpageoptions| command.
+
+ The following \meta{options} may be given:
+ \begin{itemize}
+ \item
+ \declare{|center=|\meta{pgf point}}
+ specifies the center of the logical page inside the physical page
+ as a \pgfname-point. The origin of the coordinate system of the
+ physical page is at the \emph{lower} left corner.
+
+\begin{codeexample}[code only]
+\pgfpageslogicalpageoptions{1}
+{% center logical page on middle of left side
+ center=\pgfpoint{.25\pgfphysicalwidth}{.5\pgfphysicalheight}%
+ resized width=.5\pgfphysicalwidth,%
+ resized height=\pgfphysicalheight,%
+}
+\end{codeexample}
+
+ \item
+ \declare{|resized width=|\meta{size}}
+ specifies the width that the logical page should have \emph{at
+ most} on the physical page. To achieve this width, the pages is
+ scaled down appropriately \emph{or more}. The ``or more'' part
+ can happen if the |resize height| 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.
+ \item
+ \declare{|resized height=|\meta{height}}
+ specifies the maximum height of the logical page.
+ \item
+ \declare{|original width=|\meta{width}}
+ specifies the width the \TeX\ ``thinks'' that the logical page
+ has. This width is |\paperwidth| at the point of invocation, by
+ default. Note that setting this width to something different from
+ |\paperwidth| does \emph{not} change the |\pagewidth| during
+ \TeX's typesetting. You have to do that yourself.
+
+ 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.
+ \item
+ \declare{|original height=|\meta{height}}
+ works like |original width|.
+ \item
+ \declare{|scale=|\meta{factor}}
+ scales the page by at least the given \meta{factor}. A
+ \meta{factor} of |0.5| will half the size of the page, a factor or
+ |2| will double the size. ``At least'' means that if options like
+ |resize height| are given and if the scaling required to meet that
+ option is less than \meta{factor}, that other scaling is used
+ instead.
+ \item
+ \declare{|xscale=|\meta{factor}}
+ scales the logical page along the $x$-axis by the given
+ \meta{factor}. This scaling is done independently of any other
+ scaling. Mostly, this option is useful for a factor of |-1|, which
+ flips the page along the $y$-axis. The aspect ratio is not kept.
+ \item
+ \declare{|yscale=|\meta{factor}}
+ works like |xscale|, only for the $y$-axis.
+ \item
+ \declare{|rotation=|\meta{degree}}
+ rotates the page by \meta{degree} around its center. Use a degree
+ of |90| or |-90| to go from portrait to landscape and back. The
+ rotation need not be a multiple of |90|.
+ \item
+ \declare{|copy from=|\meta{logical page number}}.
+ 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 \meta{logical page number}.
+
+ \example Have logical page 2 retain its contents:
+\begin{codeexample}[code only]
+\pgfpageslogicalpageoptions{2}{copy from=2}
+\end{codeexample}
+
+ \example Let logical page 2 show what logical page 1 showed on the
+ just-shipped-out physical page:
+\begin{codeexample}[code only]
+\pgfpageslogicalpageoptions{2}{copy from=1}
+\end{codeexample}
+ \item
+ \declare{|border shrink|=\meta{size}}
+ specifies an addition reduction of the size to which the page is
+ page is scaled down.
+ \item
+ \declare{|border code|=\meta{code}}.
+ When this option is given, the \meta{code} is executed before the
+ page box is inserted with a path preinstalled that is a rectangle
+ around the current logical page. Thus, setting \meta{code} to
+ |\pgfstroke| draws a rectangle around the logical page. Setting
+ \meta{code} to |\pgfsetlinewidth{3pt}\pgfstroke| results in a
+ thick (ugly) frame. Adding dashes and filling can result in
+ arbitrarily funky and distracting borders.
+
+ You can also call |\pgfdiscardpath| 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 \TeX-box 0 will result in a rectangle filling exactly the
+ logical page currently being put on the physical page. The logical
+ page is inserted \emph{after} these commands have been executed.
+
+ \example Add a rectangle around the page:
+\begin{codeexample}[code only]
+\pgfpageslogicalpageoptions{1}{border code=\pgfstroke}
+\end{codeexample}
+ \item
+ \declare{|corner width|=\meta{size}}
+ adds black ``rounded corners'' to the page. See the description of
+ the predefined layout |rounded corners| on
+ page~\pageref{layout-rounded-corners}.
+ \end{itemize}
+\end{command}
+
+
+
+
+\subsection{Creating Logical Pages}
+
+Logical pages are created whenever a \TeX\ thinks that a page is full
+and performs a |\shipout| command. This will cause |pgfpages| 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.
+
+Normally, whenever a logical shipout occurs that current page is
+stored in logical page number \meta{current logical page}. This
+counter is then incremented, until it is larger than \meta{last
+ logical shipout}. You can, however, directly change the value of
+\meta{current logical page} by calling |\pgfpagesphysicalpageoptions|.
+
+Another way to set the contents of a logical page is to use the
+following command:
+
+\begin{command}{\pgfpagesshipoutlogicalpage\marg{number}\meta{box}}
+ This command sets to logical page \meta{number} to \meta{box}. The
+ \meta{box} should be the code of a \TeX\ box command. This command
+ does not influence the counter \meta{current logical page} and does
+ not cause a physical shipout.
+
+\begin{codeexample}[code only]
+\pgfpagesshipoutlogicalpage{0}\vbox{Hi!}
+\end{codeexample}
+
+ This command can be used to set the contents of logical pages that
+ are normally not filled.
+\end{command}
+
+The final way of setting a logical page is using the following
+command:
+
+\begin{command}{\pgfpagescurrentpagewillbelogicalpage\marg{number}}
+ When the current \TeX\ page has been typeset, it will be become the given
+ logical page \meta{number}. This command ``interrupts'' the normal
+ order of logical pages, that is, it behaves like the previous
+ command and does not update the \meta{current logical page}
+ counter.
+
+\begin{codeexample}[code only]
+\pgfpagesuselayout{two screens with optional second}
+...
+Text for main page.
+\clearpage
+
+\pgfpagescurrentpagewillbelogicalpage{2}
+Text that goes to second page
+\clearpage
+
+Text for main page.
+\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-pgffor.tex b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgffor.tex
new file mode 100644
index 00000000000..566464c5ea0
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgffor.tex
@@ -0,0 +1,275 @@
+% 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{Repeating Things: The Foreach Statement}
+\label{section-foreach}
+
+In this section the package |pgffor.sty| is described. It can be used
+independently of \pgfname, but it works particularly well together with
+\pgfname\ and \tikzname.
+
+When you say |\usepackage{pgffor}|, two commands are defined:
+|\foreach| and |\breakforeach|. Their behaviour is described in the
+following:
+
+\begin{command}{\foreach| |\meta{variables}| in |\marg{list}
+ \meta{commands}}
+ The syntax of this command is a bit complicated, so let us go
+ through it step-by-step.
+
+ In the easiest case, \meta{variables} is a single \TeX-command like
+ |\x| or |\point|. (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.)
+
+ Still in the easiest case, \meta{list} is a comma-separated list of
+ values. Anything can be used as a value, but numbers are most
+ likely.
+
+ Finally, in the easiest case, \meta{commands} is some \TeX-text in
+ curly braces.
+
+ With all these assumptions, the |\foreach| statement will execute
+ the \meta{commands} repeatedly, once for every element of the
+ \meta{list}. Each time the \meta{commands} are executed, the
+ \meta{variable} will be set to the current value of the list item.
+
+\begin{codeexample}[]
+\foreach \x in {1,2,3,0} {[\x]}
+\end{codeexample}
+
+ \medskip
+ \textbf{Syntax for the commands.}
+ Let use move on to a more complicated setting. The first
+ complication occurs when the \meta{commands} are not some text in
+ curly braces. If the |\foreach| statement does not encounter an
+ opening brace, it will instead scan everything up to the next
+ semicolon and use this as \meta{commands}. This is most useful in
+ situations like the following:
+
+\begin{codeexample}[]
+\tikz
+ \foreach \x in {0,1,2,3}
+ \draw (\x,0) circle (0.2cm);
+\end{codeexample}
+
+ However, the ``reading till the next semicolon'' is not the whole
+ truth. There is another rule: If a |\foreach| statement is directly
+ followed by another |\foreach| statement, this second foreach
+ statement is collected as \meta{commands}. This allows you to write
+ the following:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \foreach \x in {0,1,2,3}
+ \foreach \y in {0,1,2,3}
+ {
+ \draw (\x,\y) circle (0.2cm);
+ \fill (\x,\y) circle (0.1cm);
+ }
+\end{tikzpicture}
+\end{codeexample}
+
+ \medskip
+ \textbf{The dots notation.}
+ The second complication concerns the \meta{list}. If this
+ \meta{list} contains the list item ``|...|'', this list item is replaced
+ by the ``missing values.'' More precisely, the following happens:
+
+ Normally, when a list item |...| is encountered, there should
+ already have been \emph{two} list items before it, which where
+ numbers. Examples of \emph{numbers} are |1|, |-10|, or
+ |-0.24|. Let us call these numbers $x$ and $y$ and let $d := y-x$ be
+ their difference. Next, there should also be one number following
+ the three dots, let us call this number~$z$.
+
+ In this situation, the part of the list reading
+ ``$x$|,|$y$|,...,|$z$'' is replaced by ``$x$, $x+d$, $x+2d$, $x+3d$,
+ \dots, $x+md$,'' where the last dots are semantic dots, not
+ syntactic dots. The value $m$ is the largest number such that $x +
+ md \le z$ if $d$ is positive or such that $x+md \ge z$ if $d$ is
+ negative.
+
+ Perhaps it is best to explain this by some examples: The following
+ \meta{list} have the same effects:
+
+ |\foreach \x in {1,2,...,6} {\x, }| yields \foreach \x in {1,2,...,6} {\x, }
+
+ |\foreach \x in {1,2,3,...,6} {\x, }| yields \foreach \x in {1,2,3,...,6} {\x, }
+
+ |\foreach \x in {1,3,...,11} {\x, }| yields \foreach \x in {1,3,...,11} {\x, }
+
+ |\foreach \x in {1,3,...,10} {\x, }| yields \foreach \x in {1,3,...,10} {\x, }
+
+ |\foreach \x in {0,0.1,...,0.5} {\x, }| yields \foreach \x in {0,0.1,...,0.5} {\x, }
+
+ |\foreach \x in {a,b,9,8,...,1,2,2.125,...,2.5} {\x, }| yields \foreach \x in {a,b,9,8,...,1,2,2.125,...,2.5} {\x, }
+
+ As can be seen, for fractional steps that are not multiples of
+ $2^{-n}$ for some small $n$, rounding errors can occur pretty
+ easily. Thus, in the second last case, |0.5| should probably be
+ replaced by |0.501| for robustness.
+
+ There is yet another special case for the |...| statement: If the
+ |...| is used right after the first item in the list, that is, if
+ there is an $x$, but no $y$, the difference $d$ obviously cannot be
+ computed and is set to $1$ if the number $z$ following the dots is
+ larger than $x$ and is set to $-1$ if $z$ is smaller:
+
+ |\foreach \x in {1,...,6} {\x, }| yields \foreach \x in {1,...,6} {\x, }
+
+ |\foreach \x in {9,...,3.5} {\x, }| yields \foreach \x in {9,...,3.5} {\x, }
+
+ \medskip
+ \textbf{Special handling of pairs.}
+ Different list items are separated by commas. However, this causes a
+ problem when the list items contain commas themselves as pairs like
+ |(0,1)| do. In this case, you should put the items containing commas
+ in braces as in |{(0,1)}|. However, since pairs are such a natural
+ and useful case, they get a special treatment by the |\foreach|
+ statement. When a list item starts with a |(| everything up to the
+ next |)| is made part of the item. Thus, we can write things like
+ the following:
+
+\begin{codeexample}[]
+\tikz
+ \foreach \position in {(0,0), (1,1), (2,0), (3,1)}
+ \draw \position rectangle +(.25,.5);
+\end{codeexample}
+
+ \medskip
+ \textbf{Using the foreach-statement inside paths.}
+ \tikzname\ allows you to use a |\foreach| statement inside a path
+ construction. In such a case, the \meta{commands} must be path
+ construction commands. Here are two examples:
+
+\begin{codeexample}[]
+\tikz
+ \draw (0,0)
+ \foreach \x in {1,...,3}
+ { -- (\x,1) -- (\x,0) }
+ ;
+\end{codeexample}
+
+\begin{codeexample}[]
+\tikz \draw \foreach \p in {1,...,3} {(\p,1)--(\p,3) (1,\p)--(3,\p)};
+\end{codeexample}
+
+ \medskip
+ \textbf{Multiple variables.}
+ You will often wish to iterate over two variables at the same
+ time. Since you can nest |\foreach| loops, this is normally
+ straight-forward. However, you sometimes wish variables to
+ iterate ``simultaneously.'' 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.
+
+ To achieve this, you can use the following syntax: The
+ \meta{variables} may not only be a single \TeX-variable. Instead, it
+ can also be a list of variables separated by slashes (|/|). In this
+ case the list items can also be lists of values separated by
+ slashes.
+
+ Assuming that the \meta{variables} and the list items are lists of
+ values, each time the \meta{commands} are executed, each of the
+ variables in \meta{variables} is set to one part of the list making
+ up the current list item. Here is an example to clarify this:
+
+ \example |\foreach \x / \y in {1/2,a/b} {``\x\ and \y''}| yields
+ \foreach \x / \y in {1/2,a/b} {``\x\ and \y''}.
+
+ If some entry in the \meta{list} does not have ``enough'' slashes,
+ the last entry will be repeated. Here is an example:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \foreach \x/\xtext in {0,...,3,2.72 / e}
+ \draw (\x,0) node{$\xtext$};
+\end{tikzpicture}
+\end{codeexample}
+
+ Here are more useful examples:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ % Define some coordinates:
+ \tikzstyle{every node}=[draw,fill]
+ \path[shape=circle,fill=examplefill]
+ (0,0) node(a) {a}
+ (2,0.55) node(b) {b}
+ (1,1.5) node(c) {c}
+ (2,1.75) node(d) {d};
+
+ % Draw some connections:
+ \foreach \source/\target in {a/b, b/c, c/a, c/d}
+ \draw (\source) .. controls +(.75cm,0pt) and +(-.75cm,0pt)..(\target);
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ % Let's draw circles at interesting points:
+ \foreach \x / \y / \diameter in {0 / 0 / 2mm, 1 / 1 / 3mm, 2 / 0 / 1mm}
+ \draw (\x,\y) circle (\diameter);
+
+ % Same effect
+ \foreach \center/\diameter in {{(0,0)/2mm}, {(1,1)/3mm}, {(2,0)/1mm}}
+ \draw[yshift=2.5cm] \center circle (\diameter);
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}[cap=round,line width=3pt]
+ \filldraw [fill=examplefill] (0,0) circle (2cm);
+
+ \foreach \angle / \label in
+ {0/3, 30/2, 60/1, 90/12, 120/11, 150/10, 180/9,
+ 210/8, 240/7, 270/6, 300/5, 330/4}
+ {
+ \draw[line width=1pt] (\angle:1.8cm) -- (\angle:2cm);
+ \draw (\angle:1.4cm) node{\textsf{\label}};
+ }
+
+ \foreach \angle in {0,90,180,270}
+ \draw[line width=2pt] (\angle:1.6cm) -- (\angle:2cm);
+
+ \draw (0,0) -- (120:0.8cm); % hour
+ \draw (0,0) -- (90:1cm); % minute
+\end{tikzpicture}%
+\end{codeexample}
+
+\begin{codeexample}[]
+\tikz[shading=ball]
+ \foreach \x / \cola in {0/red,1/green,2/blue,3/yellow}
+ \foreach \y / \colb in {0/red,1/green,2/blue,3/yellow}
+ \shade[ball color=\cola!50!\colb] (\x,\y) circle (0.4cm);
+\end{codeexample}
+\end{command}
+
+
+\begin{command}{\breakforeach}
+ If this command is given inside a |\foreach| command, no further
+ executions of the \meta{commands} will occur. However, the current
+ execution of the \meta{commands} is continued normally, so it is
+ probably best to use this command only at the end of a |\foreach|
+ command.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \foreach \x in {1,...,4}
+ \foreach \y in {1,...,4}
+ {
+ \fill[red!50] (\x,\y) ellipse (3pt and 6pt);
+
+ \ifnum \x<\y
+ \breakforeach
+ \fi
+ }
+\end{tikzpicture}
+\end{codeexample}
+
+\end{command}
+
+
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
new file mode 100644
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--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-commands.tex
@@ -0,0 +1,865 @@
+% 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{Commands of the System Layer}
+
+\makeatletter
+
+\subsection{Beginning and Ending a Stream of System Commands}
+
+A ``user'' of the \pgfname\ system layer (like the basic layer or a
+frontend) will interface with the system layer by calling a stream of
+commands starting with |\pgfsys@|. From the system layer's point of
+view, these commands form a long stream. Between calls to the system
+layer, control goes back to the user.
+
+The driver files implement system layer commands by inserting
+|\special| commands that implement the desired operation. For example,
+|\pgfsys@stroke| will be mapped to |\special{pdf: S}| by the driver
+file for |pdftex|.
+
+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 |\pgfsys@beginpicture| and will end with a corresponding ending
+command.
+
+\begin{command}{\pgfsys@beginpicture}
+ Called at the beginning of a |{pgfpicture}|. This command should
+ ``setup things.''
+
+ Most drivers will need to implement this command.
+\end{command}
+
+\begin{command}{\pgfsys@endpicture}
+ Called at the end of a pgfpicture.
+
+ Most drivers will need to implement this command.
+\end{command}
+
+\begin{command}{\pgfsys@typesetpicturebox\marg{box}}
+ Called \emph{after} a |{pgfpicture}| has been typeset. The picture
+ will have been put in box \meta{box}. This command should insert the
+ box into the normal text. The box \meta{box} will still be a ``raw''
+ box that contains only the |\special|'s that make up the description
+ of the picture. The job of this command is to resize and shift
+ \meta{box} according to the baseline shift and the size of the
+ box.
+
+ This command has a default implementation and need not be
+ implemented by a driver file.
+\end{command}
+
+\begin{command}{\pgfsys@beginpurepicture}
+ This version of the |\pgfsys@beginpicture| 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.
+
+ This command has a default implementation and need not be
+ implemented by a driver file.
+\end{command}
+
+\begin{command}{\pgfsys@endpurepicture}
+ Called at the end of a ``pure'' |{pgfpicture}|.
+
+ This command has a default implementation and need not be
+ implemented by a driver file.
+\end{command}
+
+Inside a stream it is sometimes necessary to ``escape'' 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:
+
+\begin{command}{\pgfsys@hbox\marg{box number}}
+ Called to insert a (horizontal) TeX box inside a
+ |{pgfpicture}|.
+
+ Most drivers will need to (re-)implement this command.
+\end{command}
+
+\begin{command}{\pgfsys@hboxsynced\marg{box number}}
+ Called to insert a (horizontal) TeX box inside a
+ |{pgfpicture}|, but with the current coordiante transformation
+ matrix synced with the canvas transformation matrix.
+
+ This command should do the same as if you used
+ |\pgflowlevelsynccm| followed by |\pgfsys@hbox|. However, the default
+ implementation of this command will use a ``TeX-translation'' for
+ the translation part of the transformation matrix. This will ensure
+ that hyperlinks ``survive'' at least translations. On the other
+ hand, a driver may choose to revert to a simpler
+ implementation. This is done, for example, for the \textsc{svg}
+ implementation, where a \TeX-translation makes no sense.
+\end{command}
+
+
+
+\subsection{Path Construction System Commands}
+
+\begin{command}{\pgfsys@moveto\marg{x}\marg{y}}
+ This command is used to start a path at a specific point
+ $(x,y)$ or to move the current point of the current path to $(x,y)$
+ without drawing anything upon stroking (the current path is
+ ``interrupted'').
+
+ Both \meta{x} and \meta{y} are given as \TeX\ dimensions. It is the
+ driver's job to transform these to the coordinate system of the
+ backend. Typically, this means converting the \TeX\ dimension into a
+ dimensionless multiple of $\frac{1}{72}\mathrm{in}$. The function
+ |\pgf@sys@bp| helps with this conversion.
+
+ \example Draw a line from $(10\mathrm{pt},10\mathrm{pt})$ to the
+ origin of the picture.
+\begin{codeexample}[code only]
+\pgfsys@moveto{10pt}{10pt}
+\pgfsys@lineto{0pt}{0pt}
+\pgfsys@stroke
+\end{codeexample}
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+\begin{command}{\pgfsys@lineto\marg{x}\marg{y}}
+ Continue the current path to $(x,y)$ with
+ a straight line.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+\begin{command}{\pgfsys@curveto\marg{$x_1$}\marg{$y_1$}\marg{$x_2$}\marg{$y_2$}\marg{$x_3$}\marg{$y_3$}}
+ Continue the current path to $(x_3,y_3)$
+ with a Bézier curve that has the two control points $(x_1,y_1)$ and $(x_2,y_2)$.
+
+ \example Draw a good approximation of a quarter circle:
+\begin{codeexample}[code only]
+\pgfsys@moveto{10pt}{0pt}
+\pgfsys@curveto{10pt}{5.55pt}{5.55pt}{10pt}{0pt}{10pt}
+\pgfsys@stroke
+\end{codeexample}
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+\begin{command}{\pgfsys@rect\marg{x}\marg{y}\marg{width}\marg{height}}
+ Append a rectangle to the current path whose lower left corner is
+ at $(x,y)$ and whose width and height in
+ big points are given by \meta{width} and \meta{height}.
+
+ This command can be ``mapped back'' to |\pgfsys@moveto| and
+ |\pgfsys@lineto| commands, but it is included since \pdf\ has a
+ special, quick version of this command.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+\begin{command}{\pgfsys@closepath}
+ Close the current path. This results in joining the current point of
+ the path with the point specified by the last |\pgfsys@moveto|
+ operation. Typically, this is preferable over using |\pgfsys@lineto|
+ to the last point specified by a |\pgfsys@moveto|, since the line
+ starting at this point and the line ending at this point will be
+ smoothly joined by |\pgfsys@closepath|.
+
+ \example Consider
+\begin{codeexample}[code only]
+\pgfsys@moveto{0pt}{0pt}
+\pgfsys@lineto{10bp}{10bp}
+\pgfsys@lineto{0bp}{10bp}
+\pgfsys@closepath
+\pgfsys@stroke
+\end{codeexample}
+ and
+\begin{codeexample}[code only]
+\pgfsys@moveto{0bp}{0bp}
+\pgfsys@lineto{10bp}{10bp}
+\pgfsys@lineto{0bp}{10bp}
+\pgfsys@lineto{0bp}{0bp}
+\pgfsys@stroke
+\end{codeexample}
+
+ 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.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+
+
+\subsection{Canvas Transformation System Commands}
+
+\begin{command}{\pgfsys@transformcm\marg{a}\marg{b}\marg{c}\marg{d}\marg{e}\marg{f}}
+ Perform a concatenation of the canvas transformation matrix with the
+ matrix given by the values \meta{a} to \meta{f}, see the \pdf\ or
+ PostScript manual for details. The values \meta{a} to \meta{d} are
+ dimensionless factors, \meta{e} and \meta{f} are \TeX\ dimensions
+
+ \example |\pgfsys@transformcm{1}{0}{0}{1}{1cm}{1cm}|.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+\begin{command}{\pgfsys@transformshift\marg{x displacement}\marg{y displacement}}
+ This command will change the origin of the canvas to $(x,y)$.
+
+ This command has a default implementation and need not be
+ implemented by a driver file.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@transformxyscale\marg{x scale}\marg{y scale}}
+ This command will scale the canvas (and everything that is drawn)
+ by a factor of \meta{x scale} in the $x$-direction and \meta{y
+ scale} in the $y$-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
+ $x$-axis and when going along the $y$-axis, if the scaling is
+ different in these directions. Usually, you do not want this.
+
+ This command has a default implementation and need not be
+ implemented by a driver file.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+\subsection{Stroking, Filling, and Clipping System Commands}
+
+\begin{command}{\pgfsys@stroke}
+ 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.
+
+ \begin{description}
+ \item[Line width]
+ The ``thickness'' 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.
+
+ \item[Stroke color]
+ This special color is used for stroking. If it is not set, the
+ current color is used.
+
+ \item[Cap]
+ 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 \pdf\ manual.) If the path has been closed, no cap
+ is drawn.
+
+ \item[Join]
+ 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 \pdf\
+ manual once more.)
+
+ \item[Dash]
+ The line may be dashed according to a dashing pattern.
+
+ \item[Clipping area]
+ If a clipping area is established, only those parts of the path
+ that are inside the clipping area will be drawn.
+ \end{description}
+
+ In addition to stroking a path, the path may also be used for
+ clipping after it has been stroked. This will happen if the
+ |\pgfsys@clipnext| is used prior to this command, see there for
+ details.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+\begin{command}{\pgfsys@closestroke}
+ This command should have the same effect as first closing the path
+ and then stroking it.
+
+ This command has a default implementation and need not be
+ implemented by a driver file.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+\begin{command}{\pgfsys@fill}
+ 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 |\ifpgfsys@eorule| holds -- in which case the
+ even-odd rule should be used. (See the \pdf\ or PostScript manual
+ for details.)
+
+ The following graphic state parameters influence the filling:
+
+ \begin{description}
+ \item[Interior rule]
+ If |\ifpgfsys@eorule| is set, the even-odd rule is used, otherwise
+ the non-zero winding number rule.
+
+ \item[Fill color]
+ If the fill color is not especially set, the current color is
+ used.
+
+ \item[Clipping area]
+ If a clipping area is established, only those parts of the filling
+ area that are inside the clipping area will be drawn.
+ \end{description}
+
+ In addition to filling the path, the path will also be used for
+ clipping if |\pgfsys@clipnext| is used prior to this command.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@fillstroke}
+ 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
+ |\pgfsys@fill|. However, due to the line thickness of the stroked
+ path, the fill-stroked area will be slightly larger.
+
+ In addition to stroking and filling the path, the path will also be
+ used for clipping if |\pgfsys@clipnext| is used prior to this command.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+\begin{command}{\pgfsys@discardpath}
+ Normally, this command should ``throw away'' the current path.
+ However, after |\pgfsys@clipnext| has been called, the current path
+ should subsequently be used for clipping. See |\pgfsys@clipnext| for
+ details.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+\begin{command}{\pgfsys@clipnext}
+ 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
+ |\ifpgfsys@eorule| holds.
+\end{command}
+
+
+
+
+\subsection{Graphic State Option System Commands}
+
+\begin{command}{\pgfsys@setlinewidth\marg{width}}
+ Sets the width of lines, when stroked, to \meta{width}, which must
+ be a \TeX\ dimension.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@buttcap}
+ Sets the cap to a butt cap. See |\pgfsys@stroke|.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@roundcap}
+ Sets the cap to a round cap. See |\pgfsys@stroke|.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@rectcap}
+ Sets the cap to a rectangular cap. See |\pgfsys@stroke|.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@miterjoin}
+ Sets the join to a miter join. See |\pgfsys@stroke|.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@setmiterlimit\marg{factor}}
+ Sets the miter limit of lines to \meta{factor}. See
+ the \pdf\ or PostScript for details on what the miter limit is.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@roundjoin}
+ Sets the join to a round join. See |\pgfsys@stroke|.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@beveljoin}
+ Sets the join to a bevel join. See |\pgfsys@stroke|.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@setdash\marg{pattern}\marg{phase}}
+ Sets the dashing patter. \meta{pattern} should be a list of \TeX\
+ dimensions lengths separated by commas. \meta{phase} should be a
+ single dimension.
+
+ \example |\pgfsys@setdash{3pt,3pt}{0pt}|
+
+ The list of values in \meta{pattern} is used to determine the
+ lengths of the ``on'' phases of the dashing and of the ``off''
+ phases. For example, if \meta{pattern} is |3bp,4bp|, then the dashing
+ pattern is ``3bp on followed by 4bp off, followed by 3bp on,
+ followed by 4bp off, and so on.'' A pattern of |.5pt,4pt,3pt,1.5pt| means
+ ``.5pt on, 4pt off, 3pt on, 1.5pt off, .5pt on, \dots'' If the
+ number of entries is odd, the last one is used twice, so |3pt| means
+ ``3pt on, 3pt off, 3pt on, 3pt off, \dots'' An empty list
+ means ``always on.''
+
+ The second argument determines the ``phase'' of the pattern. For
+ example, for a pattern of |3bp,4bp| and a phase of |1bp|, the pattern
+ would start: ``2bp on, 4bp off, 3bp on, 4bp off, 3bp on, 4bp off,
+ \dots''
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+{\let\ifpgfsys@eorule=\relax
+\begin{command}{\ifpgfsys@eorule}
+ Determines whether the even odd rule is used for filling and
+ clipping or not.
+\end{command}
+}
+
+\begin{command}{\pgfsys@stroke@opacity\marg{value}}
+ Sets the opacity of stroking operations.
+\end{command}
+
+\begin{command}{\pgfsys@fill@opacity\marg{value}}
+ Sets the opacity of filling operations.
+\end{command}
+
+
+\subsection{Color System Commands}
+
+The \pgfname\ system layer provides a number of system commands for
+setting colors. These command coexist with commands from the |color|
+and |xcolor| package, which perform similar functions. However, the
+|color| package does not support having two different colors for
+stroking and filling, which is a useful feature that is supported by
+\pgfname. For this reason, the \pgfname\ system layer offers commands for
+setting these colors separatedly. Also, plain \TeX\ profits from the
+fact that \pgfname\ can set colors.
+
+For \pdf, implementing these color commands is easy since \pdf\
+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.
+
+\begin{command}{\pgfsys@color@rgb\marg{red}\marg{green}\marg{blue}}
+ Sets the color used for stroking and filling operations to the given
+ red/green/blue tuple (numbers between 0 and 1).
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@rgb@stroke\marg{red}\marg{green}\marg{blue}}
+ Sets the color used for stroking operations to the given
+ red/green/blue tuple (numbers between 0 and 1).
+
+ \example Make stroked text dark red: |\pgfsys@color@rgb@stroke{0.5}{0}{0}|
+
+ The special stroking color is only used if the stroking color has
+ been set since the last |\color| or |\pgfsys@color@xxx|
+ command. Thus, each |\color| command will reset both the stroking
+ and filling colors by calling |\pgfsys@color@reset|.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@rgb@fill\marg{red}\marg{green}\marg{blue}}
+ 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.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@cmyk\marg{cyan}\marg{magenta}\marg{yellow}\marg{black}}
+ Sets the color used for stroking and filling operations to the given
+ cymk tuple (numbers between 0 and 1).
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@cmyk@stroke\marg{cyan}\marg{magenta}\marg{yellow}\marg{black}}
+ Sets the color used for stroking operations to the given cymk tuple
+ (numbers between 0 and 1).
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@cmyk@fill\marg{cyan}\marg{magenta}\marg{yellow}\marg{black}}
+ Sets the color used for filling operations to the given cymk tuple
+ (numbers between 0 and 1).
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@cmy\marg{cyan}\marg{magenta}\marg{yellow}}
+ Sets the color used for stroking and filling operations to the given
+ cym tuple (numbers between 0 and 1).
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@cmy@stroke\marg{cyan}\marg{magenta}\marg{yellow}}
+ Sets the color used for stroking operations to the given cym tuple
+ (numbers between 0 and 1).
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@cmy@fill\marg{cyan}\marg{magenta}\marg{yellow}}
+ Sets the color used for filling operations to the given cym tuple
+ (numbers between 0 and 1).
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@gray\marg{black}}
+ Sets the color used for stroking and filling operations to the given
+ black value, where 0 means black and 1 means white.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@gray@stroke\marg{black}}
+ Sets the color used for stroking operations to the given black value,
+ where 0 means black and 1 means white.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@gray@fill\marg{black}}
+ Sets the color used for filling operations to the given black value,
+ where 0 means black and 1 means white.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@color@reset}
+ This command will be called when the |\color| 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
+ |\pgfsys@color@rgb@fill|, the current color installed by the
+ |\color| command should be used.
+
+ If the \TeX-if |\pgfsys@color@reset@inorder| is set to true, this
+ command may ``assume'' that any call to a color command that sets
+ the fill or stroke color came ``before'' the call to this command
+ and may try to optimize the output accordingly.
+
+ An example of an incorrect ``out of order'' call would be using
+ |\pgfsys@color@reset| at the beginning of a box that is constructed
+ using |\setbox|. 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.
+\end{command}
+
+\begin{command}{\pgfsys@color@reset@inordertrue}
+ Sets the optimized ``in order'' version of the color resetting. This
+ is the default.
+\end{command}
+
+\begin{command}{\pgfsys@color@reset@inorderfalse}
+ Switches off the optimized color resetting.
+\end{command}
+
+\begin{command}{\pgfsys@color@unstacked\marg{\LaTeX\ color}}
+ This slightly obscure command causes the color stack to be
+ tricked. When called, this command should set the current color to
+ \meta{\LaTeX\ color} without causing any change in the color stack.
+
+ \example |\pgfsys@color@unstacked{red}|
+\end{command}
+
+
+\subsection{Scoping System Commands}
+
+The scoping commands are used to keep changes of the graphics state
+local.
+
+\begin{command}{\pgfsys@beginscope}
+ Saves the current graphic state on a graphic state stack. All
+ changes to the graphic state parameters mentioned for |\pgfsys@stroke|
+ and |\pgfsys@fill| will be local to the current graphic state and
+ the old values will be restored after |\pgfsys@endscope| is used.
+
+ \emph{Warning:} \pdf\ 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
+ |\pgfsys@discardpath| prior to calling this command.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@endscope}
+ Restores the last saved graphic state.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+
+
+
+
+
+\subsection{Image System Commands}
+
+The system layer provides some commands for image inclusion.
+
+\begin{command}{\pgfsys@imagesuffixlist}
+ This macro should expand to a list of suffixes, separated by `:',
+ that will be tried when searching for an image.
+
+ \example |\def\pgfsys@imagesuffixlist{eps:epsi:ps}|
+\end{command}
+
+
+\begin{command}{\pgfsys@defineimage}
+ Called, when an image should be defined.
+
+ This command does not take any parameters. Instead, certain macros
+ will be preinstalled with appropriate values when this command is
+ invoked. These are:
+
+ \begin{itemize}
+ \item\declare{|\pgf@filename|}
+ File name of the image to be defined.
+
+ \item\declare{|\pgf@imagewidth|}
+ Will be set to the desired (scaled) width of the image.
+
+ \item\declare{|\pgf@imageheight|}
+ Will be set to the desired (scaled) height of the image.
+
+ If this macro and also the height macro are empty, the image
+ should have its ``natural'' size.
+
+ If exactly only of them is specified, the undefined value the
+ image is scaled so that the aspect ratio is kept.
+
+ If both are set, the image is scaled in both directions
+ independently, possibly changing the aspect ratio.
+ \end{itemize}
+
+ The following macros presumable mostly make sense for drivers that
+ can handle \pdf:
+
+ \begin{itemize}
+ \item \declare{|\pgf@imagepage|}
+ The desired page number to be extracted from a multi-page
+ ``image.''
+
+ \item\declare{|\pgf@imagemask|}
+ If set, it will be set to |/SMask x 0 R| where |x| is the \pdf\
+ object number of a soft mask to be applied to the image.
+
+ \item\declare{|\pgf@imageinterpolate|}
+ If set, it will be set to |/Interpolate true| or
+ |/Interpolate false|, indicating whether the image should be
+ interpolated in \pdf.
+ \end{itemize}
+
+ The command should now setup the macro |\pgf@image| such that calling
+ this macro will result in typesetting the image. Thus, |\pgf@image| is
+ the ``return value'' of the command.
+
+ This command has a default implementation and need not be
+ implemented by a driver file.
+\end{command}
+
+
+\begin{command}{\pgfsys@definemask}
+ This command declares a mask for usage with images. It works similar
+ to |\pgfsys@defineimage|: Certain macros are set when the command is
+ called. The result should be to set the macro |\pgf@mask| 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:
+
+ \begin{itemize}
+ \item \declare{|\pgf@filename|}
+ File name of the mask to be defined.
+
+ \item \declare{|\pgf@maskmatte|}
+ The so-called matte of the mask (see the \pdf\ 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.
+ \end{itemize}
+\end{command}
+
+
+\subsection{Shading System Commands}
+
+
+\begin{command}{\pgfsys@horishading\marg{name}\marg{height}\marg{specification}}
+ Declares a horizontal shading for later use. The effect of this
+ command should be the definition of a macro called |\@pgfshading|\meta{name}|!|
+ (or |\csname @pdfshading|\meta{name}|!\endcsname|, to be
+ precise). When invoked, this new macro should insert a shading at
+ the current position.
+
+ \meta{name} is the name of the shading, which is also used in the
+ output macro name. \meta{height} is the height of the shading and
+ must be given as a TeX dimension like |2cm| or
+ |10pt|. \meta{specification} is a shading color
+ specification as specified in Section~\ref{section-shadings}. The
+ shading specification implicitly fixes the width of the shading.
+
+ When |\@pgfshading|\meta{name}|!| is invoked, it should insert a box
+ of height \meta{height} and the width implicit in the shading
+ declaration.
+\end{command}
+
+
+\begin{command}{\pgfsys@vertshading\marg{name}\marg{width}\marg{specification}}
+ Like the horizontal version, only for vertical shadings. This time,
+ the height of the shading is implicit in \meta{specification} and
+ the width is given as \meta{width}.
+\end{command}
+
+\begin{command}{\pgfsys@radialshading\marg{name}\marg{starting point}\marg{specification}}
+ Declares a radial shading. Like the previous macros, this command
+ should setup the macro |\@pgfshading|\meta{name}|!|, which upon
+ invocation should insert a radial shading whose size is implicit in
+ \meta{specification}.
+
+ The parameter \meta{starting point} is a \pgfname\ point
+ specifying the inner starting point of the shading.
+\end{command}
+
+
+\subsection{Reusable Objects System Commands}
+
+\begin{command}{\pgfsys@invoke\marg{literals}}
+ This command gets protocoled literals and should insert them into
+ the |.pdf| or |.dvi| file using an appropriate |\special|.
+\end{command}
+
+\begin{command}{\pgfsys@defobject\marg{name}\marg{lower
+ left}\marg{upper right}\marg{code}}
+ 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.
+
+ The parameter \meta{name} is the name for later use. \meta{lower
+ left} and \meta{upper right} are \pgfname\ points specifying a bounding
+ box for the object. \meta{code} is the code for the object. The code
+ should not be too fancy.
+
+ This command has a default implementation and need not be
+ implemented by a driver file.
+\end{command}
+
+\begin{command}{\pgfsys@useobject\marg{name}\marg{extra code}}
+ 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 \emph{before} the object is
+ rendered. Typically, this will be some transformation code.
+
+ This command has a default implementation and need not be
+ implemented by a driver file.
+\end{command}
+
+
+\subsection{Invisibility System Commands}
+
+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
+``orthogonally'' to other scopes.
+
+\begin{command}{\pgfsys@begininvisible}
+ Between this command and the closing |\pgfsys@endinvisible| all
+ output should be suppressed. Nothing should be drawn at all, which
+ includes all paths, images and shadings. However, no groups (neither
+ \TeX\ groups nor graphic state groups) should be opened by this
+ command.
+
+ This command has a default implementation and need not be
+ implemented by a driver file.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+\begin{command}{\pgfsys@endinvisible}
+ Ends the invisibility section, unless invisibility blocks have been
+ nested. In this case, only the ``last'' one restores visibility.
+
+ This command has a default implementation and need not be
+ implemented by a driver file.
+
+ This command is protocoled, see Section~\ref{section-protocols}.
+\end{command}
+
+
+
+
+\subsection{Internal Conversion Commands}
+
+The system commands take \TeX\ dimensions as input, but the dimensions
+that have to be inserted into \pdf\ and PostScript files need to be
+dimensionless values that are interpreted as multiples of
+$\frac{1}{72}\mathrm{in}$. For example, the \TeX\ dimension $2bp$
+should be inserted as |2| into a \pdf\ file and the \TeX\ dimension
+$10\mathrm{pt}$ as |9.9626401|. To make this conversion easier, the following
+command may be useful:
+
+\begin{command}{\pgf@sys@bp\marg{dimension}}
+ Inserts how many multiples of $\frac{1}{72}\mathrm{in}$ the
+ \meta{dimension} is into the current protocol stream (buffered).
+
+ \example |\pgf@sys@bp{\pgf@x}| or |\pgf@sys@bp{1cm}|.
+\end{command}
+
+Note that this command is \emph{not} a system command that can/needs
+to be overwritten by a driver.
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
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
new file mode 100644
index 00000000000..091afdc9e80
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-overview.tex
@@ -0,0 +1,79 @@
+% 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{Design of the System Layer}
+
+\makeatletter
+
+
+\subsection{Driver Files}
+\label{section-pgfsys}
+
+The \pgfname\ system layer mainly consists of a large number of
+commands starting with |\pgfsys@|. These commands will be called
+\emph{system commands} in the following. The higher layers
+``interface'' with the system layer by calling these commands. The
+higher layers should never use |\special| commands directly or even
+check whether |\pdfoutput| is defined. Instead, all drawing requests
+should be ``channeled'' through the system commands.
+
+The system layer is loaded and setup by the following package:
+
+\begin{package}{pgfsys}
+ This file provides ``default implementations'' 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, |pdftex| reside in files called
+ |pgfsys-xxxx.sty|, where |xxxx| is the driver name. These will be
+ called \emph{driver files} in the following.
+
+ When |pgfsys.sty| is loaded, it will try to determine which driver
+ is used by loading |pgf.cfg|. This file should setup the macro
+ |\pgfsysdriver| appropriately. The, |pgfsys.sty| will input the
+ appropriate |pgfsys-|\meta{drivername}|.sty|.
+\end{package}
+
+\begin{command}{\pgfsysdriver}
+ This macro should expand to the name of the driver to be used by
+ |pgfsys|. The default from |pgf.cfg| is |pgfsys-\Gin@driver|. This
+ is very likely to be correct if you are using \LaTeX. For plain
+ \TeX, the macro will be set to |pgfsys-pdftex.def| if |pdftex| is
+ used and to |pgfsys-dvips.def| otherwise.
+\end{command}
+
+\begin{filedescription}{pgf.cfg}
+ This file should setup the command |\pgfsysdriver| correctly. If
+ |\pgfsysdriver| is already set to some value, the driver normally
+ should not change it. Otherwise, it should make a ``good guess'' at
+ which driver will be appropriate.
+\end{filedescription}
+
+
+The currently supported backend drivers are discussed in
+Section~\ref{section-drivers}.
+
+
+\subsection{Common Definition Files}
+
+Some drivers share many |\pgfsys@| commands. For the reason, files
+defining these ``common'' commands are available. These files are
+\emph{not} usable alone.
+
+\begin{filedescription}{pgfsys-common-postscript}
+ This file defines some |\pgfsys@| commands so that they produce
+ appropriate PostScript code.
+\end{filedescription}
+
+\begin{filedescription}{pgfsys-common-pdf}
+ This file defines some |\pgfsys@| commands so that they produce
+ appropriate \textsc{pdf} code.
+\end{filedescription}
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
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
new file mode 100644
index 00000000000..0b87a7d108b
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-pgfsys-paths.tex
@@ -0,0 +1,235 @@
+% 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{The Soft Path Subsystem}
+
+\label{section-soft-paths}
+
+\makeatletter
+
+
+This section describes a set of commands for creating \emph{soft
+ paths} as opposed to the commands of the previous section, which
+created \emph{hard paths}. A soft path is a path that can still be
+``changed'' or ``molded.'' Once you (or the \pgfname\ system) is
+satisfied with a soft path, it is turned into a hard path, which can
+be inserted into the resulting |.pdf| or |.ps| file.
+
+Note that the commands described in this section are ``high-level'' in
+the sense that they are not implemented in driver files, but rather
+directly by the \pgfname-system layer. For this reason, the commands for
+creating soft paths do not start with |\pgfsys@|, but rather with
+|\pgfsyssoftpath@|. 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.
+
+
+
+\subsection{Path Creation Process}
+
+When the user writes a command like |\draw (0bp,0bp) -- (10bp,0bp);|
+quite a lot happens behind the scenes:
+\begin{enumerate}
+\item
+ The frontend command is translated by \tikzname\ into commands
+ of the basic layer. In essence, the command is translated to
+ something like
+\begin{codeexample}[code only]
+\pgfpathmoveto{\pgfpoint{0bp}{0bp}}
+\pgfpathlineto{\pgfpoint{10bp}{0bp}}
+\pgfusepath{stroke}
+\end{codeexample}
+\item
+ The |\pgfpathxxxx| command do \emph{not} directly call ``hard''
+ commands like |\pgfsys@xxxx|. Instead, the command |\pgfpathmoveto|
+ invokes a special command called |\pgfsyssoftpath@moveto| and
+ |\pgfpathlineto| invokes |\pgfsyssoftpath@lineto|.
+
+ The |\pgfsyssoftpath@xxxx| 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.
+\item
+ When the |\pgfusepath| is encountered, the soft path stored in
+ the internal macro is ``invoked.'' 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 |\pgfsys@moveto| or
+ |\pgfsys@lineto| in order to, finally, create the desired hard path,
+ namely, the string of literals in the |.pdf| or |.ps| file.
+\item
+ After the path has been invoked, |\pgfsys@stroke| is called to
+ insert the literal for stroking the path.
+\end{enumerate}
+
+Why such a complicated process? Why not have |\pgfpathlineto| directly
+call |\pgfsys@lineto| and be done with it? There are two reasons:
+\begin{enumerate}
+\item
+ The \pdf\ specification requires that a path is not interrupted by
+ any non-path-construction commands. Thus, the following code will
+ result in a corrupted |.pdf|:
+\begin{codeexample}[code only]
+\pgfsys@moveto{0}{0}
+\pgfsys@setlinewidth{1}
+\pgfsys@lineto{10}{0}
+\pgfsys@stroke
+\end{codeexample}
+ Such corrupt code is \emph{tolerated} by most viewers, but not
+ always. It is much better to create only (reasonably) legal code.
+\item
+ 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.
+\end{enumerate}
+
+
+\subsection{Starting and Ending a Soft Path}
+
+No special action must be taken in order to start the creation of a
+soft path. Rather, each time a command like |\pgfsyssoftpath@lineto|
+is called, a special token is added to the (global) current soft path
+being constructed.
+
+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.
+
+\begin{command}{\pgfsyssoftpath@getcurrentpath\marg{macro name}}
+ This command will store the current soft path in \meta{macro name}.
+\end{command}
+
+\begin{command}{\pgfsyssoftpath@setcurrentpath\marg{macro name}}
+ This command will set the current soft path to be the path stored in
+ \meta{macro name}. This macro should store a path that has
+ previously been extracted using the |\pgfsyssoftpath@getcurrentpath|
+ command and has possibly been modified subsequently.
+\end{command}
+
+\begin{command}{\pgfsyssoftpath@invokecurrentpath}
+ This command will turn the current soft path in a ``hard'' path. To
+ do so, it iterates over the soft path and calls an appropriate
+ |\pgfsys@xxxx| command for each element of the path. Note that the
+ current soft path is \emph{not changed} 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.
+\end{command}
+
+\begin{command}{\pgfsyssoftpath@flushcurrentpath}
+ This command will invoke the current soft path and then set it to be
+ empty.
+\end{command}
+
+
+
+\subsection{Soft Path Creation Commands}
+
+\begin{command}{\pgfsyssoftpath@moveto\marg{x}\marg{y}}
+ This command appends a ``move-to'' segment to the current soft
+ path. The coordinates \meta{x} and \meta{y} are given as normal
+ \TeX\ dimensions.
+
+ \example One way to draw a line:
+\begin{codeexample}[code only]
+\pgfsyssoftpath@moveto{0pt}{0pt}
+\pgfsyssoftpath@lineto{10pt}{10pt}
+\pgfsyssoftpath@flushcurrentpath
+\pgfsys@stroke
+\end{codeexample}
+\end{command}
+
+\begin{command}{\pgfsyssoftpath@lineto\marg{x}\marg{y}}
+ Appends a ``line-to'' segment to the current soft path.
+\end{command}
+
+\begin{command}{\pgfsyssoftpath@curveto\marg{a}\marg{b}\marg{c}\marg{d}\marg{x}\marg{y}}
+ Appends a ``curve-to'' segment to the current soft path with controls
+ $(a,b)$ and $(c,d)$.
+\end{command}
+
+\begin{command}{\pgfsyssoftpath@rect\marg{lower left x}\marg{lower left y}\marg{width}\marg{height}}
+ Appends a rectangle segment to the current soft path.
+\end{command}
+
+\begin{command}{\pgfsyssoftpath@closepath}
+ Appends a ``close-path'' segment to the current soft path.
+\end{command}
+
+
+
+
+\subsection{The Soft Path Data Structure}
+
+A soft path is stored in a standardized way, which makes it possible to
+modify it before it becomes ``hard.'' Basically, a soft path is a long
+sequence of triples. Each triple starts with a \emph{token} 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 ``the
+path starts at $(0\mathrm{bp}, 0\mathrm{bp})$ and then
+continues in a straight line to $(10\mathrm{bp},
+0\mathrm{bp})$.''
+
+\begin{codeexample}[code only]
+\pgfsyssoftpath@movetotoken{0bp}{0bp}\pgfsyssoftpath@linetotoken{10bp}{0bp}
+\end{codeexample}
+
+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
+\begin{codeexample}[code only]
+\pgfsyssoftpath@curveto{1bp}{2bp}{3bp}{4bp}{5bp}{6bp}
+\end{codeexample}
+\noindent
+results in the following three triples:
+\begin{codeexample}[code only]
+\pgfsyssoftpath@curvetosupportatoken{1bp}{2bp}
+\pgfsyssoftpath@curvetosupportbtoken{3bp}{4bp}
+\pgfsyssoftpath@curvetotoken{5bp}{6bp}
+\end{codeexample}
+
+These three triples must always ``remain together.'' Thus, a lonely
+|supportbtoken| is forbidden.
+
+In details, the following tokens exist:
+\begin{itemize}
+\item
+ \declare{|\pgfsyssoftpath@movetotoken|} indicates a move-to
+ operation. The two following numbers indicate the position to which
+ the current point should be moved.
+\item
+ \declare{|\pgfsyssoftpath@linetotoken|} indicates a line-to
+ operation.
+\item
+ \declare{|\pgfsyssoftpath@curvetosupportatoken|} indicates the first
+ control point of a curve-to operation. The triple must be followed
+ by a |\pgfsyssoftpath@curvetosupportbtoken|.
+\item
+ \declare{|\pgfsyssoftpath@curvetosupportbtoken|} indicates the second
+ control point of a curve-to operation. The triple must be followed
+ by a |\pgfsyssoftpath@curvetotoken|.
+\item
+ \declare{|\pgfsyssoftpath@curvetotoken|} indicates the target
+ of a curve-to operation.
+\item
+ \declare{|\pgfsyssoftpath@rectcornertoken|} indicates the corner of
+ a rectangle on the soft path. The triple must be followed
+ by a |\pgfsyssoftpath@rectsizetoken|.
+\item
+ \declare{|\pgfsyssoftpath@rectsizetoken|} indicates the size of
+ a rectangle on the soft path.
+\item
+ \declare{|\pgfsyssoftpath@closepath|} 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 |{0pt}{0pt}|, they should be set to the coordinate of
+ the original move-to operation to which the path ``returns'' now.
+\end{itemize}
+
+
+
+
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
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+% 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{The Protocol Subsystem}
+
+\label{section-protocols}
+
+\makeatletter
+
+This section describes commands for \emph{protocolling} literal text
+created by \pgfname. 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 ``in a
+single sweep.''
+
+When protocolling is ``switched on,'' there is a ``current protocol''
+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 |\pgfsysprotocol@getcurrentprotocol|. At any point, the
+current protocol can be changed using a corresponding setting
+command. Finally, |\pgfsysprotocol@invokecurrentprotocol| is used to
+insert the protocoled commands into the |.pdf| or |.dvi| file.
+
+Only those |\pgfsys@| commands can be protocolled that use the
+command |\pgfsysprotocol@literal| interally. For example, the
+definition of |\pgfsys@moveto| in |pgfsys-common-pdf.def| is
+\begin{codeexample}[code only]
+\def\pgfsys@moveto#1#2{\pgfsysprotocol@literal{#1 #2 m}}
+\end{codeexample}
+All ``normal'' system-level commands can be protocolled. However,
+commands for creating or invoking shadings, images, or whole pictures
+require special |\special|'s and cannot be protocolled.
+
+\begin{command}{\pgfsysprotocol@literalbuffered\marg{literal text}}
+ Adds the \meta{literal text} to the current protocol, after it has
+ been ``|\edef|ed.'' This command will always protocol.
+\end{command}
+
+\begin{command}{\pgfsysprotocol@literal\marg{literal text}}
+ First calls |\pgfsysprotocol@literalbuffered| on \meta{literal
+ text}. Then, if protocolling is currently switched off, the
+ \meta{literal text} is passed on to |\pgfsys@invoke|.
+\end{command}
+
+\begin{command}{\pgfsysprotocol@bufferedtrue}
+ Turns on protocolling. All subsequent calls of
+ |\pgfsysprotocol@literal| will append their argument to the current
+ protocol.
+\end{command}
+
+\begin{command}{\pgfsysprotocol@bufferedfalse}
+ Turns off protocolling. Subsequent calls of
+ |\pgfsysprotocol@literal| directly insert their argument into the
+ current |.pdf| or |.ps|.
+
+ Note that if the current protocol is not empty when protocolling is
+ switched off, the next call to |\pgfsysprotocol@literal| will first
+ flush the current protocol, that is, insert it into the file.
+\end{command}
+
+\begin{command}{\pgfsysprotocol@getcurrentprotocol\marg{macro name}}
+ Stores the current protocol in \meta{macro name} for later use.
+\end{command}
+
+\begin{command}{\pgfsysprotocol@setcurrentprotocol\marg{macro name}}
+ Sets the current protocol to \meta{macro name}.
+\end{command}
+
+\begin{command}{\pgfsysprotocol@invokecurrentprotocol}
+ Inserts the text stored in the current protocol into the |.pdf| or
+ |.dvi| file. This does \emph{not} change the current protocol.
+\end{command}
+
+\begin{command}{\pgfsysprotocol@flushcurrentprotocol}
+ First inserts the current protocol, then sets the current protocol
+ to the empty string.
+\end{command}
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
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
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+% 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{Actions on Paths}
+
+Once a path has been constructed, different things can be done with
+it. It can be drawn (or stroked) with a ``pen,'' 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.
+
+To decide what is to be done with a path, two methods can be
+used. First, you can use a special-purpose command like |\draw| to
+indicate that the path should be drawn. However, commands like |\draw|
+and |\fill| are just abbreviations for special cases of the more
+general method: Here, the |\path| command is used to specify the
+path. Then, options encountered on the path indicate what should be
+done with the path.
+
+For example, |\path (0,0) circle (1cm);| means ``This is a path
+consisting of a circle around the origin. Do not do anything with it
+(throw it away).'' However, if the option |draw| is encountered
+anywhere on the path, the circle will be drawn. ``Anywhere'' is any
+point on the path where an option can be given, which is everywhere
+where a path command like |circle (1cm)| or |rectangle (1,1)| or even
+just |(0,0)| would also be allowed. Thus, the following commands all
+draw the same circle:
+\begin{codeexample}[code only]
+\path [draw] (0,0) circle (1cm);
+\path (0,0) [draw] circle (1cm);
+\path (0,0) circle (1cm) [draw];
+\end{codeexample}
+Finally, |\draw (0,0) circle (1cm);| also draws a path, because
+|\draw| is an abbreviation for |\path [draw]| and thus the command
+expands to the first line of the above example.
+
+Similarly, |\fill| is an abbreviation for |\path[fill]| and
+|\filldraw| is an abbreviation for the command
+|\path[fill,draw]|. Since options accumulate, the following commands
+all have the same effect:
+\begin{codeexample}[code only]
+\path [draw,fill] (0,0) circle (1cm);
+\path [draw] [fill] (0,0) circle (1cm);
+\path [fill] (0,0) circle (1cm) [draw];
+\draw [fill] (0,0) circle (1cm);
+\fill (0,0) [draw] circle (1cm);
+\filldraw (0,0) circle (1cm);
+\end{codeexample}
+
+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:
+
+\begin{command}{\draw}
+ Inside |{tikzpicture}| this is an abbreviation for |\path[draw]|.
+\end{command}
+
+\begin{command}{\fill}
+ Inside |{tikzpicture}| this is an abbreviation for |\path[fill]|.
+\end{command}
+
+\begin{command}{\filldraw}
+ Inside |{tikzpicture}| this is an abbreviation for |\path[fill,draw]|.
+\end{command}
+
+\begin{command}{\shade}
+ Inside |{tikzpicture}| this is an abbreviation for |\path[shade]|.
+\end{command}
+
+\begin{command}{\shadedraw}
+ Inside |{tikzpicture}| this is an abbreviation for |\path[shade,draw]|.
+\end{command}
+
+\begin{command}{\clip}
+ Inside |{tikzpicture}| this is an abbreviation for |\path[clip]|.
+\end{command}
+
+\begin{command}{\useasboundingbox}
+ Inside |{tikzpicture}| this is an abbreviation for |\path[use as bounding box]|.
+\end{command}
+
+\begin{command}{\node}
+ Inside |{tikzpicture}| this is an abbreviation for |\path node|. Note
+ that, for once, |node| is not an option but a path operation.
+\end{command}
+
+\begin{command}{\coordinate}
+ Inside |{tikzpicture}| this is an abbreviation for |\path coordinate|.
+\end{command}
+
+
+
+\subsection{Specifying a Color}
+
+The most unspecific option for setting colors is the following:
+
+\begin{itemize}
+ \itemoption{color}|=|\meta{color name}%
+ \indexoption{color option}%
+ 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 ``overruled'' by this option.
+
+ The \meta{color name} is the name of a previously defined color. For
+ \LaTeX\ users, this is just a normal ``\LaTeX-color'' and the
+ |xcolor| extensions are allows. Here is an example:
+
+\begin{codeexample}[]
+\tikz \fill[color=red!20] (0,0) circle (1ex);
+\end{codeexample}
+
+ It is possible to ``leave out'' the |color=| part and you can also
+ write:
+\begin{codeexample}[]
+\tikz \fill[red!20] (0,0) circle (1ex);
+\end{codeexample}
+ What happens is that every option that \tikzname\ does not know, like
+ |red!20|, gets a ``second chance'' as a color name.
+
+ For plain \TeX\ users, it is not so easy to specify colors since
+ plain \TeX\ has no ``standardized'' color naming
+ mechanism. Because of this, \pgfname\ emulates the |xcolor| package,
+ though the emulation is \emph{extremely basic} (more precisely, what
+ I could hack together in two hours or so). The emulation allows you
+ to do the following:
+ \begin{itemize}
+ \item Specify a new color using |\definecolor|. Only the two color
+ models |gray| and |rgb| are supported.
+ \example |\definecolor{orange}{rgb}{1,0.5,0}|
+ \item Use |\colorlet| to define a new color based on an old
+ one. Here, the |!| mechanism is supported, though only ``once''
+ (use multiple |\colorlet| for more fancy colors).
+ \example |\colorlet{lightgray}{black!25}|
+ \item Use |\color|\marg{color name} to set the color in the current
+ \TeX\ group. |\aftergroup|-hackery is used to restore the color
+ after the group.
+ \end{itemize}
+\end{itemize}
+
+As pointed out above, the |color=| option applies to ``everything''
+(except to shadings), which is not always what you want. Because of
+this, there are several more specialized color options. For example,
+the |draw=| 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.
+
+
+\subsection{Drawing a Path}
+
+You can draw a path using the following option:
+\begin{itemize}
+ \itemoption{draw}\opt{|=|\meta{color}}
+ Causes the path to be drawn. ``Drawing'' (also known as
+ ``stroking'') can be thought of as picking up a pen and moving it
+ along the path, thereby leaving ``ink'' on the canvas.
+
+ There are numerous parameters that influence how a line is drawn,
+ like the thickness or the dash pattern. These options are explained
+ below.
+
+ If the optional \meta{color} argument is given, drawing is done
+ using the given \meta{color}. This color can be different from the
+ current filling color, which allows you to draw and fill a path with
+ different colors. If no \meta{color} argument is given, the last
+ usage of the |color=| option is used.
+
+ If the special color name |none| is given, this option causes
+ drawing to be ``switched off.'' This is useful if a style has
+ previously switched on drawing and you locally wish to undo this
+ effect.
+
+ 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
+ |{scope}| or |{tikzpicture}| environment. However, this will
+ \emph{not} cause all path to drawn. Instead, this just sets the
+ \meta{color} to be used for drawing paths inside the environment.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \path[draw=red] (0,0) -- (1,1) -- (2,1) circle (10pt);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+The following subsections list the different options that influence
+how a path is drawn. All of these options only have an effect if the
+|draw| options is given (directly or indirectly).
+
+\subsubsection{Graphic Parameters: Line Width, Line Cap, and Line Join}
+
+\label{section-cap-joins}
+
+\begin{itemize}
+ \itemoption{line width}|=|\meta{dimension}
+ Specifies the line width. Note the space. Default: |0.4pt|.
+
+\begin{codeexample}[]
+ \tikz \draw[line width=5pt] (0,0) -- (1cm,1.5ex);
+\end{codeexample}
+\end{itemize}
+
+There are a number of predefined styles that provide more ``natural''
+ways of setting the line width. You can also redefine these
+styles. Remember that you can leave out the |style=| when setting a
+style.
+
+\begin{itemize}
+ \itemstyle{ultra thin}
+ Sets the line width to 0.1pt.
+\begin{codeexample}[]
+ \tikz \draw[ultra thin] (0,0) -- (1cm,1.5ex);
+\end{codeexample}
+
+ \itemstyle{very thin}
+ Sets the line width to 0.2pt.
+\begin{codeexample}[]
+ \tikz \draw[very thin] (0,0) -- (1cm,1.5ex);
+\end{codeexample}
+
+ \itemstyle{thin}
+ Sets the line width to 0.4pt.
+\begin{codeexample}[]
+ \tikz \draw[thin] (0,0) -- (1cm,1.5ex);
+\end{codeexample}
+
+ \itemstyle{semithick}
+ Sets the line width to 0.6pt.
+\begin{codeexample}[]
+ \tikz \draw[semithick] (0,0) -- (1cm,1.5ex);
+\end{codeexample}
+
+ \itemstyle{thick}
+ Sets the line width to 0.8pt.
+\begin{codeexample}[]
+ \tikz \draw[thick] (0,0) -- (1cm,1.5ex);
+\end{codeexample}
+
+ \itemstyle{very thick}
+ Sets the line width to 1.2pt.
+\begin{codeexample}[]
+ \tikz \draw[very thick] (0,0) -- (1cm,1.5ex);
+\end{codeexample}
+
+ \itemstyle{ultra thick}
+ Sets the line width to 1.6pt.
+\begin{codeexample}[]
+ \tikz \draw[ultra thick] (0,0) -- (1cm,1.5ex);
+\end{codeexample}
+\end{itemize}
+
+\begin{itemize}
+ \itemoption{cap}|=|\meta{type}
+ Specifies how lines ``end.'' Permissible \meta{type} are |round|,
+ |rect|, and |butt| (default). They have the following effects:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \begin{scope}[line width=10pt]
+ \draw[cap=rect] (0,0 ) -- (1,0);
+ \draw[cap=butt] (0,.5) -- (1,.5);
+ \draw[cap=round] (0,1 ) -- (1,1);
+ \end{scope}
+ \draw[white,line width=1pt]
+ (0,0 ) -- (1,0) (0,.5) -- (1,.5) (0,1 ) -- (1,1);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{join}|=|\meta{type}
+ Specifies how lines ``join.'' Permissible \meta{type} are |round|,
+ |bevel|, and |miter| (default). They have the following effects:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[line width=10pt]
+ \draw[join=round] (0,0) -- ++(.5,1) -- ++(.5,-1);
+ \draw[join=bevel] (1.25,0) -- ++(.5,1) -- ++(.5,-1);
+ \draw[join=miter] (2.5,0) -- ++(.5,1) -- ++(.5,-1);
+ \useasboundingbox (0,1.5); % make bounding box bigger
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{miter limit}|=|\meta{factor}
+ 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 \meta{factor} times the line width, the miter join is
+ replaced by a bevel join. Default value is |10|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[line width=5pt]
+ \draw (0,0) -- ++(5,.5) -- ++(-5,.5);
+ \draw[miter limit=25] (6,0) -- ++(5,.5) -- ++(-5,.5);
+ \useasboundingbox (14,0); % make bounding box bigger
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+\subsubsection{Graphic Parameters: Dash Pattern}
+
+\begin{itemize}
+ \itemoption{dash pattern}|=|\meta{dash pattern}
+ Sets the dashing pattern. The syntax is the same as in
+ \textsc{metafont}. For example |on 2pt off 3pt on 4pt off 4pt| means ``draw
+ 2pt, then leave out 3pt, then draw 4pt once more, then leave out 4pt
+ again, repeat''.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[dash pattern=on 2pt off 3pt on 4pt off 4pt]
+ \draw (0pt,0pt) -- (3.5cm,0pt);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{dash phase}|=|\meta{dash phase}
+ Shifts the start of the dash pattern by \meta{phase}.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[dash pattern=on 20pt off 10pt]
+ \draw[dash phase=0pt] (0pt,3pt) -- (3.5cm,3pt);
+ \draw[dash phase=10pt] (0pt,0pt) -- (3.5cm,0pt);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+As for the line thickness, some predefined styles allow you to set the
+dashing conveniently.
+
+\begin{itemize}
+\itemstyle{solid}
+ Shorthand for setting a solid line as ``dash pattern.'' This is the default.
+
+\begin{codeexample}[]
+\tikz \draw[solid] (0pt,0pt) -- (50pt,0pt);
+\end{codeexample}
+
+ \itemstyle{dotted}
+ Shorthand for setting a dotted dash pattern.
+
+\begin{codeexample}[]
+\tikz \draw[dotted] (0pt,0pt) -- (50pt,0pt);
+\end{codeexample}
+
+ \itemstyle{densely dotted}
+ Shorthand for setting a densely dotted dash pattern.
+
+\begin{codeexample}[]
+\tikz \draw[densely dotted] (0pt,0pt) -- (50pt,0pt);
+\end{codeexample}
+
+ \itemstyle{loosely dotted}
+ Shorthand for setting a loosely dotted dash pattern.
+
+\begin{codeexample}[]
+\tikz \draw[loosely dotted] (0pt,0pt) -- (50pt,0pt);
+\end{codeexample}
+
+ \itemstyle{dashed}
+ Shorthand for setting a dashed dash pattern.
+
+\begin{codeexample}[]
+\tikz \draw[dashed] (0pt,0pt) -- (50pt,0pt);
+\end{codeexample}
+
+ \itemstyle{densely dashed}
+ Shorthand for setting a densely dashed dash pattern.
+
+\begin{codeexample}[]
+\tikz \draw[densely dashed] (0pt,0pt) -- (50pt,0pt);
+\end{codeexample}
+
+ \itemstyle{loosely dashed}
+ Shorthand for setting a loosely dashed dash pattern.
+
+\begin{codeexample}[]
+\tikz \draw[loosely dashed] (0pt,0pt) -- (50pt,0pt);
+\end{codeexample}
+\end{itemize}
+
+
+\subsubsection{Graphic Parameters: Draw Opacity}
+
+When a line is drawn, it will normally ``obscure'' everything behind
+it as if you has used perfectly opaque ink. It is also possible to ask
+\tikzname\ to use an ink that is a little bit (or a big bit)
+transparent. To do so, use the following option:
+
+\begin{itemize}
+ \itemoption{draw opacity}|=|\meta{value}
+ This option sets ``how transparent'' lines should be. A value of |1|
+ means ``fully opaque'' or ``not transparent at all,'' a value of |0|
+ means ``fully transparent'' or ``invisible.'' A value of |0.5|
+ yields lines that are semitransparent.
+
+ Note that when you use PostScript as your output format,
+ this option works only with recent versions of GhostScript.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[line width=1ex]
+ \draw (0,0) -- (3,1);
+ \filldraw [fill=examplefill,draw opacity=0.5] (1,0) rectangle (2,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+Note that the |draw opacity| options only sets the opacity of drawn
+lines. The opacity of fillings is set using the option
+|fill opacity| (documented in Section~\ref{section-fill-opacity}. The
+option |opacity| sets both at the same time.
+
+\begin{itemize}
+ \itemoption{opacity}|=|\meta{value}
+ Sets both the drawing and filling opacity to \meta{value}.
+
+ The following predefined styles make it easier to use this option:
+ \begin{itemize}
+ \itemstyle{transparent}
+ Makes everything totally transparent and, hence, invisible.
+
+\begin{codeexample}[]
+\tikz{\fill[red] (0,0) rectangle (1,0.5);
+ \fill[transparent,red] (0.5,0) rectangle (1.5,0.25); }
+\end{codeexample}
+ \itemstyle{ultra nearly transparent}
+ Makes everything, well, ultra nearly transparent.
+
+\begin{codeexample}[]
+\tikz{\fill[red] (0,0) rectangle (1,0.5);
+ \fill[ultra nearly transparent] (0.5,0) rectangle (1.5,0.25); }
+\end{codeexample}
+ \itemstyle{very nearly transparent}
+\begin{codeexample}[]
+\tikz{\fill[red] (0,0) rectangle (1,0.5);
+ \fill[very nearly transparent] (0.5,0) rectangle (1.5,0.25); }
+\end{codeexample}
+ \itemstyle{nearly transparent}
+\begin{codeexample}[]
+\tikz{\fill[red] (0,0) rectangle (1,0.5);
+ \fill[nearly transparent] (0.5,0) rectangle (1.5,0.25); }
+\end{codeexample}
+ \itemstyle{semitransparent}
+\begin{codeexample}[]
+\tikz{\fill[red] (0,0) rectangle (1,0.5);
+ \fill[semitransparent] (0.5,0) rectangle (1.5,0.25); }
+\end{codeexample}
+ \itemstyle{nearly opaque}
+\begin{codeexample}[]
+\tikz{\fill[red] (0,0) rectangle (1,0.5);
+ \fill[nearly opaque] (0.5,0) rectangle (1.5,0.25); }
+\end{codeexample}
+ \itemstyle{very nearly opaque}
+\begin{codeexample}[]
+\tikz{\fill[red] (0,0) rectangle (1,0.5);
+ \fill[very nearly opaque] (0.5,0) rectangle (1.5,0.25); }
+\end{codeexample}
+ \itemstyle{ultra nearly opaque}
+\begin{codeexample}[]
+\tikz{\fill[red] (0,0) rectangle (1,0.5);
+ \fill[ultra nearly opaque] (0.5,0) rectangle (1.5,0.25); }
+\end{codeexample}
+ \itemstyle{opaque}
+ This yields completely opaque drawings, which is the default.
+\begin{codeexample}[]
+\tikz{\fill[red] (0,0) rectangle (1,0.5);
+ \fill[opaque] (0.5,0) rectangle (1.5,0.25); }
+\end{codeexample}
+ \end{itemize}
+\end{itemize}
+
+
+
+
+\subsubsection{Graphic Parameters: Arrow Tips}
+
+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.
+
+\begin{itemize}
+\itemoption{arrows}\opt{|=|\meta{start arrow kind}|-|\meta{end arrow kind}}
+ This option sets the start and end arrow tips (an empty value as in |->|
+ indicates that no arrow tip should be drawn at the start).%
+ \indexoption{arrows}
+
+ \emph{Note: Since the arrow option is so often used, you can leave
+ out the text |arrows=|.} What happens is that every option that
+ contains a |-| is interpreted as an arrow specification.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[->] (0,0) -- (1,0);
+ \draw[o-stealth] (0,0.3) -- (1,0.3);
+\end{tikzpicture}
+\end{codeexample}
+
+ The permissible values are all predefined arrow tips, though
+ you can also define new arrow tip kinds as explained in
+ Section~\ref{section-arrows}. This is often necessary to obtain
+ ``double'' arrow tips and arrow tips that have a fixed size. Since
+ |pgflibraryarrows| is loaded by default, all arrow tips described in
+ Section~\ref{section-library-arrows} are available.
+
+ One arrow tip kind is special: |>| (and all arrow tip kinds containing the
+ arrow tip kind such as |<<| or \verb!>|!). This arrow tip type is not
+ fixed. Rather, you can redefine it using the |>=| option, see
+ below.
+
+ \example You can also combine arrow tip types as in
+\begin{codeexample}[]
+\begin{tikzpicture}[thick]
+ \draw[to reversed-to] (0,0) .. controls +(.5,0) and +(-.5,-.5) .. +(1.5,1);
+ \draw[[-latex reversed] (1,0) .. controls +(.5,0) and +(-.5,-.5) .. +(1.5,1);
+ \draw[latex-)] (2,0) .. controls +(.5,0) and +(-.5,-.5) .. +(1.5,1);
+ \useasboundingbox (-.1,-.1) rectangle (3.1,1.1); % make bounding box bigger
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{>}|=|\meta{end arrow kind}
+ This option can be used to redefine the ``standard'' arrow tip |>|. The
+ idea is that different people have different ideas what arrow tip kind
+ should normally be used. I prefer the arrow tip of \TeX's |\to| command
+ (which is used in things like $f\colon A \to B$). Other people will
+ prefer \LaTeX's standard arrow tip, which looks like this: \tikz
+ \draw[-latex] (0,0) -- (10pt,1ex);. Since the arrow tip kind |>| is
+ certainly the most ``natural'' one to use, it is kept free of any
+ predefined meaning. Instead, you can change it by saying |>=to| to
+ set the ``standard'' arrow tip kind to \TeX's arrow tip, whereas |>=latex|
+ will set it to \LaTeX's arrow tip and |>=stealth| will use a
+ \textsc{pstricks}-like arrow tip.
+
+ Apart from redefining the arrow tip kind |>| (and |<| for the start),
+ this option also redefines the following arrow tip kinds: |>| and |<| as
+ the swapped version of \meta{end arrow kind}, |<<| and |>>| as
+ doubled versions, |>>| and |<<| as swapped doubled versions, %>>
+ and \verb!|<! and \verb!>|! as arrow tips ending with a vertical bar.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=2]
+ \begin{scope}[>=latex]
+ \draw[->] (0pt,6ex) -- (1cm,6ex);
+ \draw[>->>] (0pt,5ex) -- (1cm,5ex);
+ \draw[|<->|] (0pt,4ex) -- (1cm,4ex);
+ \end{scope}
+ \begin{scope}[>=diamond]
+ \draw[->] (0pt,2ex) -- (1cm,2ex);
+ \draw[>->>] (0pt,1ex) -- (1cm,1ex);
+ \draw[|<->|] (0pt,0ex) -- (1cm,0ex);
+ \end{scope}
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{shorten >}|=|\meta{dimension}
+ This option will shorten the end of lines by the given
+ \meta{dimension}. If you specify an arrow tip, lines are already
+ shortened a bit such that the arrow tip touches the specified endpoint
+ and does not ``protrude over'' this point. Here is an example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[line width=20pt]
+ \useasboundingbox (0,-1.5) rectangle (3.5,1.5);
+ \draw[red] (0,0) -- (3,0);
+ \draw[gray,->] (0,0) -- (3,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ The |shorten >| option allows you to shorten the end on the line
+ \emph{additionally} by the given distance. This option can also be
+ useful if you have not specified an arrow tip at all.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[line width=20pt]
+ \useasboundingbox (0,-1.5) rectangle (3.5,1.5);
+ \draw[red] (0,0) -- (3,0);
+ \draw[-to,shorten >=10pt,gray] (0,0) -- (3,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{shorten <}|=|\meta{dimension} works like |shorten >|,
+ but for the start.
+\end{itemize}
+
+
+
+\subsubsection{Graphic Parameters: Double Lines and Bordered Lines}
+
+\begin{itemize}
+ \itemoption{double}\opt{|=|\meta{core color}}
+ This option causes ``two'' 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 \meta{core color}, which is normally |white|. 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:
+
+\begin{codeexample}[]
+\tikz \draw[double]
+ plot[smooth cycle] coordinates{(0,0) (1,1) (1,0) (0,1)};
+\end{codeexample}
+
+ You can also use the doubling option to create an effect in which a
+ line seems to have a certain ``border'':
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) -- (1,1);
+ \draw[draw=white,double=red,very thick] (0,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{double distance}|=|\meta{dimension}
+ Sets the distance the ``two'' 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
+ \emph{first} time the path is drawn is twice the normal line width
+ plus the given \meta{dimension}. As a side-effect, this option
+ ``selects'' the |double| option.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[very thick,double] (0,0) arc (180:90:1cm);
+ \draw[very thick,double distance=2pt] (1,0) arc (180:90:1cm);
+ \draw[thin,double distance=2pt] (2,0) arc (180:90:1cm);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+
+
+
+
+
+\subsection{Filling a Path}
+\label{section-rules}
+To fill a path, use the following option:
+\begin{itemize}
+ \itemoption{fill}\opt{|=|\meta{color}}
+ 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 |color=| option or the optional
+ color \meta{color}. For self-intersection paths and for paths
+ consisting of several closed areas, the ``enclosed area'' 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.
+
+ Just as for the |draw| option, setting \meta{color} to |none|
+ disables filling locally.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \fill (0,0) -- (1,1) -- (2,1);
+ \fill (4,0) circle (.5cm) (4.5,0) circle (.5cm);
+ \fill[even odd rule] (6,0) circle (.5cm) (6.5,0) circle (.5cm);
+ \fill (8,0) -- (9,1) -- (10,0) circle (.5cm);
+\end{tikzpicture}
+\end{codeexample}
+
+ If the |fill| option is used together with the |draw| option (either
+ because both are given as options or because a |\filldraw| command
+ is used), the path is filled \emph{first}, then the path is drawn
+ \emph{second}. 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
+ |fill|: A ``filldrawn'' area will be slightly larger than a filled
+ area because of the thickness of the ``pen.''
+
+\begin{codeexample}[]
+\begin{tikzpicture}[fill=examplefill,line width=5pt]
+ \filldraw (0,0) -- (1,1) -- (2,1);
+ \filldraw (4,0) circle (.5cm) (4.5,0) circle (.5cm);
+ \filldraw[even odd rule] (6,0) circle (.5cm) (6.5,0) circle (.5cm);
+ \filldraw (8,0) -- (9,1) -- (10,0) circle (.5cm);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+\subsubsection{Graphic Parameters: Interior Rules}
+
+The following two options can be used to decide how interior points
+should be determined:
+\begin{itemize}
+ \itemoption{nonzero rule}
+ If this rule is used (which is the default), the following method is
+ used to determine whether a given point is ``inside'' 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 ``from left to right'' (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 ``inside,'' otherwise it is
+ ``outside.'' Sounds complicated? It is.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \filldraw[fill=examplefill]
+ % Clockwise rectangle
+ (0,0) -- (0,1) -- (1,1) -- (1,0) -- cycle
+ % 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[->] (0.5,0.5) -- +(0,1) node[above] {crossings: $-1+1 = 0$};
+
+ \begin{scope}[yshift=-3cm]
+ \filldraw[fill=examplefill]
+ % Clockwise rectangle
+ (0,0) -- (0,1) -- (1,1) -- (1,0) -- cycle
+ % 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[->] (0.5,0.5) -- +(0,1) node[above] {crossings: $1+1 = 2$};
+ \end{scope}
+\end{tikzpicture}
+\end{codeexample}
+
+\itemoption{even odd rule}
+ 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.
+
+ 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 ``hit'' the path
+ and declare the point to be ``inside'' if the number of hits is odd.
+
+ Using the even-odd rule, it is easy to ``drill holes'' into a path.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \filldraw[fill=examplefill,even odd rule]
+ (0,0) rectangle (1,1) (0.5,0.5) circle (0.4cm);
+ \draw[->] (0.5,0.5) -- +(0,1) [above] node{crossings: $1+1 = 2$};
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+
+\subsubsection{Graphic Parameters: Fill Opacity}
+
+\label{section-fill-opacity}
+Analogously to the |draw opacity|, you can also set the filling
+opacity:
+
+\begin{itemize}
+ \itemoption{fill opacity}|=|\meta{value}
+ This option sets the opacity of fillings. In addition to filling
+ operations, this opacity also applies to text and images.
+
+ Note, again, that when you use PostScript as your output format,
+ this option works only with recent versions of GhostScript.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[thick,fill opacity=0.5]
+ \filldraw[fill=red] (0:1cm) circle (12mm);
+ \filldraw[fill=green] (120:1cm) circle (12mm);
+ \filldraw[fill=blue] (-120:1cm) circle (12mm);
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \fill[red] (0,0) rectangle (3,2);
+
+ \node at (0,0) {\huge A};
+ \node[fill opacity=0.5] at (3,2) {\huge B};
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+\subsection{Shading a Path}
+
+You can shade a path using the |shade| option. A shading is like a
+filling, only the shading changes its color smoothly from one color to
+another.
+
+\begin{itemize}
+ \itemoption{shade}
+ Causes the path to be shaded using the currently selected shading
+ (more on this later). If this option is used together with the
+ |draw| option, then the path is first shaded, then drawn.
+
+ It is not an error to use this option together with the |fill|
+ option, but it makes no sense.
+
+\begin{codeexample}[]
+\tikz \shade (0,0) circle (1ex);
+\end{codeexample}
+
+\begin{codeexample}[]
+\tikz \shadedraw (0,0) circle (1ex);
+\end{codeexample}
+\end{itemize}
+
+For some shadings it is not really clear how they can ``fill'' the
+path. For example, the |ball| shading normally looks like this: \tikz
+\shade[shading=ball] (0,0) circle (0.75ex);. How is this supposed to
+shade a rectangle? Or a triangle?
+
+To solve this problem, the predefined shadings like |ball| or |axis|
+fill a large rectangle completely in a sensible way. Then, when the
+shading is used to ``shade'' 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.
+
+
+\subsubsection{Choosing a Shading Type}
+
+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
+|shading=| option, which will also automatically invoke the |shade|
+option. Note that this does \emph{not} change the shading color, only
+the way the colors sweep. For changing the colors, other options are
+needed, which are explained below.
+
+\begin{itemize}
+ \itemoption{shading}|=|\meta{name}
+ This selects a shading named \meta{name}. The following shadings are
+ predefined:
+ \begin{itemize}
+ \item \declare{|axis|}
+ 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.
+
+\begin{codeexample}[]
+\tikz \shadedraw [shading=axis] (0,0) rectangle (1,1);
+\end{codeexample}
+
+ The default top color is gray, the default bottom color is white,
+ the default middle is the ``middle'' of these two.
+ \item \declare{|radial|}
+ 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.
+
+\begin{codeexample}[]
+\tikz \shadedraw [shading=radial] (0,0) rectangle (1,1);
+\end{codeexample}
+ \item \declare{|ball|}
+ This shading fills the path with a shading that ``looks like a
+ ball.'' The default ``color'' of the ball is blue (for no
+ particular reason).
+
+\begin{codeexample}[]
+\tikz \shadedraw [shading=ball] (0,0) rectangle (1,1);
+\end{codeexample}
+
+\begin{codeexample}[]
+\tikz \shadedraw [shading=ball] (0,0) circle (.5cm);
+\end{codeexample}
+ \end{itemize}
+ \itemoption{shading angle}|=|\meta{degrees}
+ 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 $90^\circ$.
+
+\begin{codeexample}[]
+\tikz \shadedraw [shading=axis,shading angle=90] (0,0) rectangle (1,1);
+\end{codeexample}
+\end{itemize}
+
+
+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~\ref{section-shading-a-path}.
+
+
+
+\subsubsection{Choosing a Shading Color}
+
+The following options can be used to change the colors used for
+shadings. When one of these options is given, the |shade| option is
+automatically selected and also the ``right'' shading.
+
+\begin{itemize}
+ \itemoption{top color}|=|\meta{color}
+ This option prescribes the color to be used at the top in an |axis|
+ shading. When this option is given, several things happen:
+ \begin{enumerate}
+ \item
+ The |shade| option is selected.
+ \item
+ The |shading=axis| option is selected.
+ \item
+ The middle color of the axis shading is set to the average of the
+ given top color \meta{color} and of whatever color is currently
+ selected for the bottom.
+ \item
+ The rotation angle of the shading is set to 0.
+ \end{enumerate}
+
+\begin{codeexample}[]
+\tikz \draw[top color=red] (0,0) rectangle (2,1);
+\end{codeexample}
+
+ \itemoption{bottom color}|=|\meta{color}
+ This option works like |top color|, only for the bottom color.
+
+ \itemoption{middle color}|=|\meta{color}
+ This option specifies the color for the middle of an axis
+ shading. It also sets the |shade| and |shading=axis| options, but it
+ does not change the rotation angle.
+
+ \emph{Note:} Since both |top color| and |bottom color| change the
+ middle color, this option should be given \emph{last} if all of
+ these options need to be given:
+
+\begin{codeexample}[]
+\tikz \draw[top color=white,bottom color=black,middle color=red]
+ (0,0) rectangle (2,1);
+\end{codeexample}
+
+ \itemoption{left color}|=|\meta{color}
+ This option does exactly the same as |top color|, except that the
+ shading angle is set to $90^\circ$.
+
+ \itemoption{right color}|=|\meta{color}
+ Works like |left color|.
+
+ \itemoption{inner color}|=|\meta{color}
+ This option sets the color used at the center of a |radial|
+ shading. When this option is used, the |shade| and |shading=radial|
+ options are set.
+
+\begin{codeexample}[]
+\tikz \draw[inner color=red] (0,0) rectangle (2,1);
+\end{codeexample}
+
+ \itemoption{outer color}|=|\meta{color}
+ This option sets the color used at the border and outside of a
+ |radial| shading.
+
+\begin{codeexample}[]
+\tikz \draw[outer color=red,inner color=white]
+ (0,0) rectangle (2,1);
+\end{codeexample}
+
+ \itemoption{ball color}|=|\meta{color}
+ This option sets the color used for the ball shading. It sets the
+ |shade| and |shading=ball| options. Note that the ball will never
+ ``completely'' have the color \meta{color}. At its ``highlight'' 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
+ |ball color=white| or |ball color=black|
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \shade[ball color=white] (0,0) circle (2ex);
+ \shade[ball color=red] (1,0) circle (2ex);
+ \shade[ball color=black] (2,0) circle (2ex);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+
+
+\subsection{Establishing a Bounding Box}
+
+\pgfname\ 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
+``do not count this for the picture size'' or ``the picture is
+actually a little large.'' For this you can use the option
+|use as bounding box| or the command |\useasboundingbox|, which is just
+a shorthand for |\path[use as bounding box]|.
+
+\begin{itemize}
+ \itemoption{use as bounding box}
+ 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 \emph{subsequent} 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.
+
+ In a sense, |use as bounding box| has the same effect as clipping
+ all subsequent drawing against the current path---without actually
+ doing the clipping, only making \pgfname\ treat everything as if it
+ were clipped.
+
+ The first application of this option is to have a |{tikzpicture}|
+ overlap with the main text:
+
+\begin{codeexample}[]
+Left of picture\begin{tikzpicture}
+ \draw[use as bounding box] (2,0) rectangle (3,1);
+ \draw (1,0) -- (4,.75);
+\end{tikzpicture}right of picture.
+\end{codeexample}
+
+ In a second application this option can be used to get better
+ control over the white space around the picture:
+
+\begin{codeexample}[]
+Left of picture
+\begin{tikzpicture}
+ \useasboundingbox (0,0) rectangle (3,1);
+ \fill (.75,.25) circle (.5cm);
+\end{tikzpicture}
+right of picture.
+\end{codeexample}
+
+ Note: If this option is used on a path inside a \TeX\ group (scope),
+ the effect ``lasts'' only till the end of the scope. Again, this
+ behavior is the same as for clipping.
+\end{itemize}
+
+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
+bounding box.
+
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[red] (0,0) circle (2pt);
+ \draw[red] (2,1) circle (3pt);
+
+ \draw (current bounding box.south west) rectangle
+ (current bounding box.north east);
+
+ \draw[red] (3,-1) circle (4pt);
+
+ \draw[thick] (current bounding box.south west) rectangle
+ (current bounding box.north east);
+\end{tikzpicture}
+\end{codeexample}
+
+
+
+
+
+\subsection{Using a Path For Clipping}
+
+To use a path for clipping, use the |clip| option.
+
+\begin{itemize}
+ \itemoption{clip}
+ 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.
+
+ 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 |{scope}|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[clip] (0,0) circle (1cm);
+ \fill[red] (1,0) circle (1cm);
+\end{tikzpicture}
+\end{codeexample}
+
+ It is usually a \emph{very} good idea to apply the |clip| option only
+ to the first path command in a scope.
+
+ If you ``only wish to clip'' and do not wish to draw anything, you can
+ use the |\clip| command, which is a shorthand for |\path[clip]|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \clip (0,0) circle (1cm);
+ \fill[red] (1,0) circle (1cm);
+\end{tikzpicture}
+\end{codeexample}
+
+ To keep clipping local, use |{scope}| environments as in the
+ following example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) -- ( 0:1cm);
+ \draw (0,0) -- (10:1cm);
+ \draw (0,0) -- (20:1cm);
+ \draw (0,0) -- (30:1cm);
+ \begin{scope}[fill=red]
+ \fill[clip] (0.2,0.2) rectangle (0.5,0.5);
+
+ \draw (0,0) -- (40:1cm);
+ \draw (0,0) -- (50:1cm);
+ \draw (0,0) -- (60:1cm);
+ \end{scope}
+ \draw (0,0) -- (70:1cm);
+ \draw (0,0) -- (80:1cm);
+ \draw (0,0) -- (90:1cm);
+\end{tikzpicture}
+\end{codeexample}
+
+ 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 |fill=red| to the |\fill|
+ command. The reasons for this have to do with the internals of the
+ \pdf\ specification. You do not want to know the details. It is best
+ simply not to specify any options for these
+ commands.
+\end{itemize}
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
new file mode 100644
index 00000000000..6ce31747a18
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-coordinates.tex
@@ -0,0 +1,301 @@
+% 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{Specifying Coordinates}
+
+
+\subsection{Coordinates and Coordinate Options}
+
+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
+\declare{|(|\opt{|[|\meta{options}|]|}\meta{coordinate specification}|)|}.
+
+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:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (1,1);
+ \draw[red] (0,0) -- ([xshift=3pt] 1,1);
+ \draw (1,0) -- +(30:2cm);
+ \draw[red] (1,0) -- +([shift=(135:5pt)] 30:2cm);
+\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{Polar Coordinates}
+
+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{codeexample}[]
+\tikz \draw (0cm,0cm) -- (30:1cm) -- (60:1cm) -- (90:1cm)
+ -- (120:1cm) -- (150:1cm) -- (180:1cm);
+\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.
+
+
+
+\subsection{Xy- and Xyz-Coordinates}
+
+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.
+
+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:
+
+\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}
+\end{codeexample}
+
+
+\subsection{Node Coordinates}
+\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:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node (shape) at (0,2) [draw] {|class Shape|};
+ \node (rect) at (-2,0) [draw] {|class Rectangle|};
+ \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);
+\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:
+
+\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);
+ \end{tikzpicture}
+\end{codeexample}
+
+
+\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:
+
+\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);
+\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:
+
+\begin{codeexample}[]
+\tikz \draw (0,0) node(x) [draw] {Text}
+ rectangle (1,1)
+ (x) -- +(1,1);
+\end{codeexample}
+
+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);
+\end{codeexample}
+
+
+\subsection{Intersection Coordinates}
+
+
+\subsubsection{Intersection of Two Lines}
+
+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.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \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);
+\end{tikzpicture}
+\end{codeexample}
+
+\subsubsection{Intersection of Horizontal and Vertical Lines}
+
+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}|)|}.
+
+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}
+ \path (30:1cm) node(p1) {$p_1$} (75:1cm) node(p2) {$p_2$};
+
+ \draw (-0.2,0) -- (1.2,0) node(xline)[right] {$q_1$};
+ \draw (2,-0.2) -- (2,1.2) node(yline)[above] {$q_2$};
+
+ \draw[->] (p1) -- (p1 |- xline);
+ \draw[->] (p2) -- (p2 |- xline);
+ \draw[->] (p1) -- (p1 -| yline);
+ \draw[->] (p2) -- (p2 -| yline);
+\end{tikzpicture}
+\end{codeexample}
+
+
+
+\subsection{Relative and Incremental Coordinates}
+
+You can prefix coordinates by |++| to make them ``relative.'' A
+coordinate such as |++(1cm,0pt)| means ``1cm to the right of the
+previous position.'' Relative coordinates are often useful in
+``local'' contexts:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) -- ++(1,0) -- ++(0,1) -- ++(-1,0) -- cycle;
+ \draw (2,0) -- ++(1,0) -- ++(0,1) -- ++(-1,0) -- cycle;
+ \draw (1.5,1.5) -- ++(1,0) -- ++(0,1) -- ++(-1,0) -- cycle;
+\end{tikzpicture}
+\end{codeexample}
+
+Instead of |++| you can also use a single |+|. This also specifies a
+relative coordinate, but it does not ``update'' the current point for
+subsequent usages of relative coordinates. Thus, you can use this
+notation to specify numerous points, all relative to the same
+``initial'' point:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) -- +(1,0) -- +(1,1) -- +(0,1) -- cycle;
+ \draw (2,0) -- +(1,0) -- +(1,1) -- +(0,1) -- cycle;
+ \draw (1.5,1.5) -- +(1,0) -- +(1,1) -- +(0,1) -- cycle;
+\end{tikzpicture}
+\end{codeexample}
+
+There is one special situation, where relative coordinates are
+interpreted differently. If you use a relative coordinate as a control
+point of a Bézier 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.
+
+This special behavior makes it easy to specify that a curve should
+``leave or arrives from a certain direction'' at the start or end. In
+the following example, the curve ``leaves'' at $30^\circ$ and
+``arrives'' at $60^\circ$:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (1,0) .. controls +(30:1cm) and +(60:1cm) .. (3,-1);
+ \draw[gray,->] (1,0) -- +(30:1cm);
+ \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
new file mode 100644
index 00000000000..1207f029c38
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-design.tex
@@ -0,0 +1,248 @@
+% 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{Design Principles}
+
+This section describes the design principles behind the \tikzname\
+frontend, where \tikzname\ means ``\tikzname\ ist \emph{kein}
+Zeichenprogramm.'' To use \tikzname, as a \LaTeX\ user say
+|\usepackage{tikz}| somewhere in the preamble, as a plain \TeX\ user
+say |\input tikz.tex|. \tikzname's job is to make your life easier by
+providing an easy-to-learn and easy-to-use syntax for describing
+graphics.
+
+The commands and syntax of \tikzname\ were influenced by several
+sources. The basic command names and the notion of path operations is
+taken from \textsc{metafont}, the option mechanism comes from
+\textsc{pstricks}, the notion of styles is reminiscent of
+\textsc{svg}. To make it all work together, some compromises were
+necessary. I also added some ideas of my own, like meta-arrows and
+coordinate transformations.
+
+The following basic design principles underlie \tikzname:
+\begin{enumerate}
+\item Special syntax for specifying points.
+\item Special syntax for path specifications.
+\item Actions on paths.
+\item Key-value syntax for graphic parameters.
+\item Special syntax for nodes.
+\item Special syntax for trees.
+\item Grouping of graphic parameters.
+\item Coordinate transformation system.
+\end{enumerate}
+
+
+
+\subsection{Special Syntax For Specifying Points}
+
+\tikzname\ provides a special syntax for specifying points and
+coordinates. In the simplest case, you provide two \TeX\ dimensions,
+separated by commas, in round brackets as in |(1cm,2pt)|.
+
+You can also specify a point in polar coordinates by using a colon
+instead of a comma as in |(30:1cm)|, which means ``1cm in a 30
+degrees direction.''
+
+If you do not provide a unit, as in |(2,1)|, you specify a point in
+\pgfname's $xy$-coordinate system. By default, the unit $x$-vector
+goes 1cm to the right and the unit $y$-vector goes 1cm upward.
+
+By specifying three numbers as in |(1,1,1)| you specify a point in
+\pgfname's $xyz$-coordinate system.
+
+It is also possible to use an anchor of a previously defined shape
+as in |(first node.south)|.
+
+You can add two plus signs before a coordinate as in
+|++(1cm,0pt)|. This means ``1cm to the right of the last point
+used.'' This allows you to easily specify relative movements. For
+example, |(1,0) ++(1,0) ++(0,1)| specifies the three coordinates
+|(1,0)|, then |(2,0)|, and |(2,1)|.
+
+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 ``change'' the current point used in subsequent relative
+commands. For example, |(1,0) +(1,0) +(0,1)| specifies the three
+coordinates |(1,0)|, then |(2,0)|, and |(1,1)|.
+
+\subsection{Special Syntax For Path Specifications}
+
+When creating a picture using \tikzname, your main job is the
+specification of \emph{paths}. A path is a series of straight or curved
+lines, which need not be connected. \tikzname\ makes it easy to
+specify paths, partly using the syntax of \textsc{metapost}. For
+example, to specify a triangular path you use
+\begin{codeexample}[code only]
+(5pt,0pt) -- (0pt,0pt) -- (0pt,5pt) -- cycle
+\end{codeexample}
+and you get \tikz \draw (5pt,0pt) -- (0pt,0pt) -- (0pt,5pt) -- cycle;
+when you draw this path.
+
+\subsection{Actions on Paths}
+
+A path is just a series of straight and curved lines, but it is not
+yet specified what should happen with it. One can \emph{draw} a
+path, \emph{fill} a path, \emph{shade} it, \emph{clip} it, or do any
+combination of these. Drawing (also known as \emph{stroking}) 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 \emph{closed} paths and a path is
+automatically closed prior to filling, if necessary.
+
+Given a path as in |\path (0,0) rectangle (2ex,1ex);|, you can draw
+it by adding the |draw| option as in
+|\path[draw] (0,0) rectangle (2ex,1ex);|, which yields \tikz \path[draw]
+(0,0) rectangle (2ex,1ex);. The |\draw| command is just an abbreviation for
+|\path[draw]|. To fill a path, use the |fill| option or the |\fill|
+command, which is an abbreviation for |\path[fill]|. The
+|\filldraw| command is an abbreviation for
+|\path[fill,draw]|. Shading is caused by the |shade| option (there
+are |\shade| and |\shadedraw| abbreviations) and clipping by the
+|clip| option. There is is also a |\clip| command, which does the
+same as |\path[clip]|, but not commands like |\drawclip|. Use, say,
+|\draw[clip]| or |\path[draw,clip]| instead.
+
+All of these commands can only be used inside |{tikzpicture}|
+environments.
+
+\tikzname\ allows you to use different colors for filling and
+stroking.
+
+\subsection{Key-Value Syntax for Graphic Parameters}
+Whenever \tikzname\ 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 \tikzname, all these options are specified as lists
+of so called key-value pairs, as in |color=red|, that are
+passed as optional parameters to the path drawing and filling
+commands. This usage is similar to \textsc{pstricks}. For
+example, the following will draw a thick, red triangle;
+\begin{codeexample}[]
+\tikz \draw[line width=2pt,color=red] (1,0) -- (0,0) -- (1,0) -- cycle;
+\end{codeexample}
+
+\subsection{Special Syntax for Specifying Nodes}
+\tikzname\ 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:
+\begin{codeexample}[]
+\tikz \draw (1,1) node {text} -- (2,2);
+\end{codeexample}
+Nodes are inserted at the current position of
+the path, but only \emph{after} the path has been rendered. When
+special options are given, as in
+|\draw (1,1) node[circle,draw] {text};|, the text is not just put
+at the current position. Rather, it is surrounded by a circle and
+this circle is ``drawn.''
+
+You can add a name to a node for later reference either by using the
+option |name=|\meta{node name} or by stating the node name in
+parentheses outside the text as in |node[circle](name){text}|.
+
+Predefined shapes include |rectangle|, |circle|, and |ellipse|, but
+it is possible (though a bit challenging) to define new shapes.
+
+\subsection{Special Syntax for Specifying Trees}
+
+In addition to the ``node syntax,'' \tikzname\ 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 |node| can be followed by any number of children, each
+introduced by the keyword |child|. The children are nodes themselves,
+each of which may have children in turn.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node {root}
+ child {node {left}}
+ child {node {right}
+ child {node {child}}
+ child {node {child}}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+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:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[edge from parent fork down]
+ \tikzstyle{every node}=[fill=red!30,rounded corners]
+ \tikzstyle{edge from parent}=[red,-o,thick,draw]
+ \node {root}
+ child {node {left}}
+ child {node {right}
+ child {node {child}}
+ child {node {child}}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ [parent anchor=east,child anchor=west,grow=east]
+ \tikzstyle{every node}=[ball color=red,circle,text=white]
+ \tikzstyle{edge from parent}=[draw,dashed,thick,red]
+ \node {root}
+ child {node {left}}
+ child {node {right}
+ child {node {child}}
+ child {node {child}}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+\subsection{Grouping of Graphic Parameters}
+
+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 |{scope}| 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 |{scope}| environments or
+individual drawing commands can override the graphic parameters of
+outer |{scope}| environments. In the following example, three red
+lines, two green lines, and one blue line are drawn:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \begin{scope}[color=red]
+ \draw (0mm,10mm) -- (10mm,10mm);
+ \draw (0mm, 8mm) -- (10mm, 8mm);
+ \draw (0mm, 6mm) -- (10mm, 6mm);
+ \end{scope}
+ \begin{scope}[color=green]
+ \draw (0mm, 4mm) -- (10mm, 4mm);
+ \draw (0mm, 2mm) -- (10mm, 2mm);
+ \draw[color=blue] (0mm, 0mm) -- (10mm, 0mm);
+ \end{scope}
+\end{tikzpicture}
+\end{codeexample}
+
+The |{tikzpicture}| environment itself also behaves like a
+|{scope}| environment, that is, you can specify graphic parameters
+using an optional argument. These optional apply to all commands in
+the picture.
+
+
+\subsection{Coordinate Transformation System}
+
+\tikzname\ relies entirely on \pgfname's \emph{coordinate} transformation
+system to perform transformations. \pgfname\ also supports
+\emph{canvas} transformations, a more low-level transformation system,
+but this system is not accessible from \tikzname. There are two reasons
+for this: First, the canvas transformation must be used with great
+care and often results in ``bad'' graphics with changing line width
+and text in wrong sizes. Second, \pgfname\ looses track of where nodes
+and shapes are positioned when canvas transformations are used.
+
+For more details on the difference between coordinate transformations
+and canvas transformations see
+Section~\ref{section-design-transformations}.
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
new file mode 100644
index 00000000000..9eaffdcd086
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-paths.tex
@@ -0,0 +1,1266 @@
+% 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.
+
+
+\section{Syntax for Path Specifications}
+
+A \emph{path} is a series of straight and curved line segments. It is
+specified following a |\path| command and the specification must
+follow a special syntax, which is described in the subsections of the
+present section.
+
+
+\begin{command}{\path\meta{specification}|;|}
+ This command is available only inside a |{tikzpicture}| environment.
+
+ The \meta{specification} is a long stream of \emph{path
+ operations}. Most of these path operations tell \tikzname\ how the path
+ is build. For example, when you write |--(0,0)|, you use a
+ \emph{line-to operation} and it means ``continue the path from
+ wherever you are to the origin.''
+
+ At any point where \tikzname\ expects a path operation, you can also
+ give some graphic options, which is a list of options in brackets,
+ such as |[rounded corners]|. These options can have different
+ effects:
+ \begin{enumerate}
+ \item
+ Some options take ``immediate'' effect and apply to all subsequent
+ path operations on the path. For example, the |rounded corners|
+ option will round all following corners, but not the corners
+ ``before'' and if the |sharp corners| is given later on the path
+ (in a new set of brackets), the rounding effect will end.
+
+\begin{codeexample}[]
+\tikz \draw (0,0) -- (1,1)
+ [rounded corners] -- (2,0) -- (3,1)
+ [sharp corners] -- (3,0) -- (2,1);
+\end{codeexample}
+ Another example are the transformation options, which also apply
+ only to subsequent coordinates.
+ \item
+ The options that have immediate effect can be ``scoped'' by
+ putting part of a path in curly braces. For example, the above
+ example could also be written as follows:
+
+\begin{codeexample}[]
+\tikz \draw (0,0) -- (1,1)
+ {[rounded corners] -- (2,0) -- (3,1)}
+ -- (3,0) -- (2,1);
+\end{codeexample}
+ \item
+ Some options only apply to the path as a whole. For example, the
+ |color=| 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) ``wins'':
+
+\begin{codeexample}[]
+\tikz \draw (0,0) -- (1,1)
+ [color=red] -- (2,0) -- (3,1)
+ [color=blue] -- (3,0) -- (2,1);
+\end{codeexample}
+
+ Most options are of this type. In the above example, we would have
+ had to ``split up'' the path into several |\path| commands:
+\begin{codeexample}[]
+\tikz{\draw (0,0) -- (1,1);
+ \draw [color=red] (2,0) -- (3,1);
+ \draw [color=blue] (3,0) -- (2,1);}
+\end{codeexample}
+ \end{enumerate}
+
+ By default, the |\path| command does ``nothing'' with the
+ path, it just ``throws it away.'' Thus, if you write
+ |\path(0,0)--(1,1);|, 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 ``do'' something with the path, an option like
+ |draw| or |fill| must be given somewhere on the path. Commands like
+ |\draw| do this implicitly.
+
+ Finally, it is also possible to give \emph{node specifications} 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 |node|. Basically, the effect is to
+ typeset the node's text as normal \TeX\ text and to place
+ it at the ``current location'' on the path. The details are explained
+ in Section~\ref{section-nodes}.
+
+ Note, however, that the nodes are \emph{not} 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 |fill| and a |draw| option somewhere in the
+ \meta{specification}), the nodes are added in a post-processing
+ step.
+
+ The following style influences scopes:
+ \begin{itemize}
+ \itemstyle{every path}
+ This style is installed at the beginning of every path. This can
+ be useful for (temporarily) adding, say, the |draw| option to
+ everything in a scope.
+\begin{codeexample}[]
+\begin{tikzpicture}[fill=examplefill] % only sets the color
+ \tikzstyle{every path}=[draw] % all paths are drawn
+ \fill (0,0) rectangle +(1,1);
+ \shade (2,0) rectangle +(1,1);
+\end{tikzpicture}
+\end{codeexample}
+ \end{itemize}
+\end{command}
+
+
+
+
+\subsection{The Move-To Operation}
+
+The perhaps simplest operation is the move-to operation, which is
+specified by just giving a coordinate where a path operation is
+expected.
+
+\begin{pathoperation}[noindex]{}{\meta{coordinate}}
+ \index{empty@\protect\meta{empty} path operation}%
+ \index{Path operations!empty@\protect\texttt{\meta{empty}}}%
+ 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.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) --(2,0) (0,1) --(2,1);
+\end{tikzpicture}
+\end{codeexample}
+
+ In the specification |(0,0) --(2,0) (0,1) --(2,1)| two move-to
+ operations are specified: |(0,0)| and |(0,1)|. The other two
+ operations, namely |--(2,0)| and |--(2,1)| are line-to operations,
+ described next.
+\end{pathoperation}
+
+
+\subsection{The Line-To Operation}
+
+
+\subsubsection{Straight Lines}
+
+\begin{pathoperation}{--}{\meta{coordinate}}
+ The line-to operation extends the current path from the current
+ point in a straight line to the given coordinate. The ``current
+ point'' is the endpoint of the previous drawing operation or the point
+ specified by a prior move-to operation.
+
+ You use two minus signs followed by a coordinate in round
+ brackets. You can add spaces before and after the~|--|.
+
+ 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 ``joined'' 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.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[line width=10pt]
+ \draw (0,0) --(1,1) (1,1) --(2,0);
+ \draw (3,0) -- (4,1) -- (5,0);
+ \useasboundingbox (0,1.5); % make bounding box higher
+\end{tikzpicture}
+\end{codeexample}
+
+\end{pathoperation}
+
+
+\subsubsection{Horizontal and Vertical Lines}
+
+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.
+
+{\catcode`\|=12
+\begin{pathoperation}[noindex]{-|}{\meta{coordinate}}
+ \index{--1@\protect\texttt{-\protect\pgfmanualbar} path operation}%
+ \index{Path operations!--1@\protect\texttt{-\protect\pgfmanualbar}}%
+ This operation means ``first horizontal, then vertical.''
+
+ \begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) node(a) [draw] {A} (1,1) node(b) [draw] {B};
+ \draw (a.north) |- (b.west);
+ \draw[color=red] (a.east) -| (2,1.5) -| (b.north);
+\end{tikzpicture}
+\end{codeexample}
+\end{pathoperation}
+\begin{pathoperation}[noindex]{|-}{\meta{coordinate}}
+ \index{--2@\protect\texttt{\protect\pgfmanualbar-} path operation}%
+ \index{Path operations!--2@\protect\texttt{\protect\pgfmanualbar-}}%
+ This operations means ``first vertical, then horizontal.''
+\end{pathoperation}
+}
+
+
+\subsubsection{Snaked Lines}
+\label{section-tikz-snakes}
+
+The line-to operation can not only be used to append straight lines to
+the path, but also ``snaked'' lines (called thus because they look a
+little bit like snakes seen from above).
+
+\tikzname\ and \pgfname\ use a concept that I termed \emph{snakes}
+for appending such ``squiggly'' lines. A snake specifies a way of
+extending a path between two points in a ``fancy manner.''
+
+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. ``Lines'' consisting of such snakes cannot be used as the
+borders of enclosed areas.
+
+Here are some examples of snakes in action:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[thick]
+ \draw (0,3) -- (3,3);
+ \draw[snake=zigzag] (0,2.5) -- (3,2.5);
+ \draw[snake=brace] (0,2) -- (3,2);
+ \draw[snake=triangles] (0,1.5) -- (3,1.5);
+ \draw[snake=coil,segment length=4pt] (0,1) -- (3,1);
+ \draw[snake=coil,segment aspect=0] (0,.5) -- (3,.5);
+ \draw[snake=expanding waves,segment angle=7] (0,0) -- (3,0);
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \filldraw[fill=red!20,snake=bumps] (0,0) rectangle (3,2);
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \filldraw[fill=blue!20] (0,3)
+ [snake=saw] -- (3,3)
+ [snake=coil,segment aspect=0] -- (2,1)
+ [snake=bumps] -| (0,3);
+\end{tikzpicture}
+\end{codeexample}
+
+No special path operation is needed to use a snake. Instead, you use
+the following option to ``switch on'' snaking:
+
+\begin{itemize}
+ \itemoption{snake}\opt{|=|\meta{snake name}}
+ This option causes the snake \meta{snake name} to be used for
+ subsequent line-to operations. So, whenever you use the |--| 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 \verb!-|! and \verb!|-! syntax and also when you use the
+ |rectangle| operation. Snakes will \emph{not} be used when you use
+ the curve-to operation nor when any other ``curved'' line is added
+ to the path.
+
+ This option has to be given anew for each path. However, you can
+ also leave out the \meta{snake name}. In this case, the enclosing
+ scope's \meta{snake name} is used. Thus, you can specify a
+ ``standard'' snake name for scope and then just say |\draw[snake]|
+ every time this snake should actually be used.
+
+ The \meta{snake name} |none| is special. It can be used to switch
+ off snaking after it has been switched on on a path.
+
+ A bit strangely, no valid \meta{snake names} are defined by
+ \tikzname\ by default. Instead, you have to include the library
+ package |pgflibrarysnakes|. This package defines numerous snakes,
+ see Section~\ref{section-library-snakes} for the complete list.
+\end{itemize}
+
+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~\ref{section-library-snakes} once more for details.
+
+\begin{itemize}
+ \itemoption{gap before snakes}|=|\meta{dimension}
+ This option allows you to add a certain ``gap'' 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 \meta{dimension} in the
+ direction of the target.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw[snake=zigzag] (0,1) -- ++(3,1);
+ \draw[snake=zigzag,gap before snake=1cm] (0,0) -- ++(3,1);
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{gap after snake}|=|\meta{dimension}
+ This option has the same effect as |gap before snake|, only it
+ affects the end of the snake, which will ``end early.''
+ \itemoption{gap around snake}|=|\meta{dimension}
+ This option sets the gap before and after the gap to
+ \meta{dimension}.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw[snake=brace] (0,1) -- ++(3,1);
+ \draw[snake=brace,gap around snake=5mm] (0,0) -- ++(3,1);
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{line before snake}|=|\meta{dimension}
+ This option works like |gap before snake|, only it will connect the
+ current point with a straight line to the start of the snake.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw[snake=zigzag] (0,1) -- ++(3,1);
+ \draw[snake=zigzag,line before snake=1cm] (0,0) -- ++(3,1);
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{line after snake}|=|\meta{dimension}
+ Works line |gap after snake|, only it adds a straight line.
+ \itemoption{line around snake}|=|\meta{dimension}
+ Works line |gap around snake|, only it adds straight lines.
+ \itemoption{raise snake}|=|\meta{dimension}
+ This option can be used with all snakes. It will offset the snake by
+ ``raising'' it by \meta{dimension}. A negative \meta{dimension} will
+ lower the snake. Raising and lowering is always relative to the line
+ along which the snake is drawn. Here is an example:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node (a) {A};
+ \node (b) at (2,1) {B};
+ \draw (a) -- (b);
+ \draw[snake=brace] (a) -- (b);
+ \draw[snake=brace,raise snake=5pt,red] (a) -- (b);
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{mirror snake}
+ This option causes the snake to be ``reflected along the path.''
+ This is best understood by looking at an example:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node (a) {A};
+ \node (b) at (2,1) {B};
+ \draw (a) -- (b);
+ \draw[snake=brace] (a) -- (b);
+ \draw[snake=brace,mirror snake,red,thick] (a) -- (b);
+\end{tikzpicture}
+\end{codeexample}
+ This option can be used with every snake and can be combined with
+ the |raise snake| option.
+ \itemoption{segment amplitude}|=|\meta{dimension}
+ This option sets the ``amplitude'' 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 ``rises
+ above'' or ``falls below'' the path. For some snakes, this value is
+ ignored.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node (a) {A} node (b) at (2,1) {B} node (c) at (2,-1) {C};
+ \draw[snake=zigzag] (a) -- (b);
+ \draw[snake=zigzag,segment amplitude=5pt,red,thick] (a) -- (c);
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{segment length}|=|\meta{dimension}
+ This option sets the length of each ``segment'' of a snake. For a
+ sine wave this would be the wave length, for other snakes it is the
+ length of each ``repetitive part'' of the snake.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node (a) {A} node (b) at (2,1) {B} node (c) at (2,-1) {C};
+ \draw[snake=zigzag] (a) -- (b);
+ \draw[snake=zigzag,segment length=20pt,red,thick] (a) -- (c);
+\end{tikzpicture}
+\end{codeexample}
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node (a) {A} node (b) at (2,1) {B} node (c) at (2,-1) {C};
+ \draw[snake=bumps] (a) -- (b);
+ \draw[snake=bumps,segment length=20pt,red,thick] (a) -- (c);
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{segment object length}|=|\meta{dimension}
+ 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.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node (a) {A} node (b) at (2,1) {B} node (c) at (2,-1) {C};
+ \draw[snake=triangles] (a) -- (b);
+ \draw[snake=triangles,segment object length=8pt,red,thick] (a) -- (c);
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{segment angle}|=|\meta{degrees}
+ This option sets an angle that is interpreted in a snake-specific
+ way. For example, the |waves| and |expanding waves| snakes interpret
+ this as (half the) opening angle of the wave. The |border| snake
+ uses this value for the angle of the little ticks.
+\begin{codeexample}[]
+\begin{tikzpicture}[segment amplitude=10pt]
+ \node (a) {A} node (b) at (2,0) {B};
+ \draw[snake=border] (a) -- (b);
+ \draw[snake=border,segment angle=20,red,thick] (a) -- (b);
+\end{tikzpicture}
+\end{codeexample}
+\begin{codeexample}[]
+\begin{tikzpicture}[segment amplitude=10pt]
+ \node (a) {A} node (b) at (2,0) {B};
+ \node (a') at (0,-1) {A} node (b') at (2,-1) {B};
+ \draw[snake=expanding waves] (a) -- (b);
+ \draw[snake=expanding waves,segment angle=20,red,thick] (a') -- (b');
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{segment aspect}|=|\meta{ratio}
+ This option sets an aspect ratio that is interpreted in a
+ snake-specific way. For example, for the |coils| snake this
+ describes the ``direction'' from which the coil is viewed.
+\begin{codeexample}[]
+\begin{tikzpicture}[segment amplitude=5pt,segment length=5pt]
+ \node (a) {A} node (b) at (2,1) {B} node (c) at (2,-1) {C};
+ \draw[snake=coil] (a) -- (b);
+ \draw[snake=coil,segment aspect=0,red,thick] (a) -- (c);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+It is possible to define new snakes, but this cannot be done inside
+\tikzname. You need to use the command |\pgfdeclaresnake| from the
+basic level directly, see Section~\ref{section-base-snakes}.
+
+The following styles define combinations of segment settings that may
+be useful:
+\begin{itemize}
+ \itemstyle{snake triangles 45}
+ Installs a snake the consists of little triangles with an opening
+ angle of $45^\circ$.
+ \itemstyle{snake triangles 60}
+ Installs a snake the consists of little triangles with an opening
+ angle of $60^\circ$.
+ \itemstyle{snake triangles 90}
+ Installs a snake the consists of little triangles with an opening
+ angle of $90^\circ$.
+\end{itemize}
+
+
+
+\subsection{The Curve-To Operation}
+
+The curve-to operation allows you to extend a path using a Bézier
+curve.
+
+\begin{pathoperation}{..}{\declare{|controls|}\meta{c}\opt{|and|\meta{d}}\declare{|..|\meta{y}}}
+ This operation extends the current path from the current
+ point, let us call it $x$, via a curve to a the current point~$y$.
+ The curve is a cubic Bézier curve. For such a curve,
+ apart from $y$, you also specify two control points $c$ and $d$. The
+ idea is that the curve starts at $x$, ``heading'' in the direction
+ of~$c$. Mathematically spoken, the tangent of the curve at $x$ goes
+ through $c$. Similarly, the curve ends at $y$, ``coming from'' the
+ other control point,~$d$. The larger the distance between $x$ and~$c$
+ and between $d$ and~$y$, the larger the curve will be.
+
+ If the ``|and|\meta{d}'' part is not given, $d$ is assumed to be
+ equal to $c$.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[line width=10pt] (0,0) .. controls (1,1) .. (4,0)
+ .. controls (5,0) and (5,1) .. (4,1);
+ \draw[color=gray] (0,0) -- (1,1) -- (4,0) -- (5,0) -- (5,1) -- (4,1);
+\end{tikzpicture}
+\end{codeexample}
+
+ 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:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[line width=10pt]
+ \draw (0,0) -- (1,1) (1,1) .. controls (1,0) and (2,0) .. (2,0);
+ \draw (3,0) -- (4,1) .. controls (4,0) and (5,0) .. (5,0);
+ \useasboundingbox (0,1.5); % make bounding box higher
+\end{tikzpicture}
+\end{codeexample}
+\end{pathoperation}
+
+
+\subsection{The Cycle Operation}
+
+\begin{pathoperation}{--cycle}{}
+ 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.
+
+ 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.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[line width=10pt]
+ \draw (0,0) -- (1,1) -- (1,0) -- (0,0) (2,0) -- (3,1) -- (3,0) -- (2,0);
+ \draw (5,0) -- (6,1) -- (6,0) -- cycle (7,0) -- (8,1) -- (8,0) -- cycle;
+ \useasboundingbox (0,1.5); % make bounding box higher
+\end{tikzpicture}
+\end{codeexample}
+\end{pathoperation}
+
+
+
+\subsection{The Rectangle Operation}
+
+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.
+
+\begin{pathoperation}{rectangle}{\meta{corner}}
+ When this operation is used, one corner will be the current point,
+ another corner is given by \meta{corner}, which becomes the new
+ current point.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) rectangle (1,1);
+ \draw (.5,1) rectangle (2,0.5) (3,0) rectangle (3.5,1.5) -- (2,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{pathoperation}
+
+
+\subsection{Rounding Corners}
+
+All of the path construction operations mentioned up to now are
+influenced by the following option:
+\begin{itemize}
+ \itemoption{rounded corners}\opt{|=|\meta{inset}}
+ 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.
+
+\begin{codeexample}[]
+\tikz \draw [rounded corners] (0,0) -- (1,1)
+ -- (2,0) .. controls (3,1) .. (4,0);
+\end{codeexample}
+
+ The \meta{inset} describes how big the corner is. Note that the
+ \meta{inset} is \emph{not} scaled along if you use a scaling option
+ like |scale=2|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[color=gray,very thin] (10pt,15pt) circle (10pt);
+ \draw[rounded corners=10pt] (0,0) -- (0pt,25pt) -- (40pt,25pt);
+\end{tikzpicture}
+\end{codeexample}
+
+ You can switch the rounded corners on and off ``in the middle of
+ path'' and different corners in the same path can have different
+ corner radii:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) [rounded corners=10pt] -- (1,1) -- (2,1)
+ [sharp corners] -- (2,0)
+ [rounded corners=5pt] -- cycle;
+\end{tikzpicture}
+\end{codeexample}
+
+Here is a rectangle with rounded corners:
+\begin{codeexample}[]
+\tikz \draw[rounded corners=1ex] (0,0) rectangle (20pt,2ex);
+\end{codeexample}
+
+ 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 $90^\circ$. In other cases, the rounded
+ corner will still be round, but ``not as nice.''
+
+ Second, if there are very short line segments in a path, the
+ ``rounding'' may cause inadverted effects. In such case it may be
+ necessary to temporarily switch off the rounding using
+ |sharp corners|.
+
+ \itemoption{sharp corners}
+ This options switches off any rounding on subsequent corners of the
+ path.
+\end{itemize}
+
+
+
+\subsection{The Circle and Ellipse Operations}
+
+A circle can be approximated well using four Bézier 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.
+
+\begin{pathoperation}{circle}{|(|\meta{radius}|)|}
+ 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.
+\end{pathoperation}
+
+\begin{pathoperation}{ellipse}{|(|\meta{half width}| and |\meta{half height}|)|}
+ Note that you can add spaces after |ellipse|, but you have to place
+ spaces around |and|.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (1,0) circle (.5cm);
+ \draw (3,0) ellipse (1cm and .5cm) -- ++(3,0) circle (.5cm)
+ -- ++(2,-.5) circle (.25cm);
+\end{tikzpicture}
+\end{codeexample}
+\end{pathoperation}
+
+
+\subsection{The Arc Operation}
+
+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}}|)|}
+ 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.
+
+ \begin{codeexample}[]
+\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;
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (-1,0) -- +(3.5,0);
+ \draw (1,0) ++(210:2cm) -- +(30:4cm);
+ \draw (1,0) +(0:1cm) arc (0:30:1cm);
+ \draw (1,0) +(180:1cm) arc (180:210:1cm);
+ \path (1,0) ++(15:.75cm) node{$\alpha$};
+ \path (1,0) ++(15:-.75cm) node{$\beta$};
+\end{tikzpicture}
+\end{codeexample}
+\end{pathoperation}
+
+
+\subsection{The Grid Operation}
+
+You can add a grid to the current path using the |grid| path
+operation.
+
+\begin{pathoperation}{grid}{\opt{\oarg{options}}\meta{corner}}
+ This operations adss a grid filling a rectangle whose two corners
+ 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.
+
+\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:
+
+\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
+ $x$-direction.
+ \itemoption{ystep}|=|\meta{dimension} sets the stepping in the
+ $y$-direction.
+\end{itemize}
+
+ It is important to note that the grid is always ``phased'' such that
+ it contains the point $(0,0)$ if that point happens to be inside the
+ rectangle. Thus, the grid does \emph{not} 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
+ ``last'' lines of a grid may be omitted. In this case, you have to
+ add an epsilon to the corner points.
+
+ The following style is useful for drawing grids:
+\begin{itemize}
+ \itemstyle{help lines}
+ This style makes lines ``subdued'' by using thin gray lines for
+ them. However, this style is not installed automatically and you
+ have to say for example:
+\begin{codeexample}[]
+\tikz \draw[style=help lines] (0,0) grid (3,3);
+\end{codeexample}
+\end{itemize}
+\end{pathoperation}
+
+
+
+\subsection{The Parabola Operation}
+
+The |parabola| path operation continues the current path with a
+parabola. A parabola is a (shifted and scaled) curve defined by the
+equation $f(x) = x^2$ and looks like this: \tikz \draw (-1ex,1.5ex)
+parabola[parabola height=-1.5ex] +(2ex,0ex);.
+
+\begin{pathoperation}{parabola}{\opt{\oarg{options}|bend|\meta{bend
+ coordinate}}\meta{coordinate}}
+ This operation adds a parabola through the current point and the
+ given \meta{coordinate}. If the |bend| is given, it specifies where
+ the bend should go; the \meta{options} can also be used to specify
+ where the bend is. By default, the bend is at the old current point.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) rectangle (1,1.5)
+ (0,0) parabola (1,1.5);
+ \draw[xshift=1.5cm] (0,0) rectangle (1,1.5)
+ (0,0) parabola[bend at end] (1,1.5);
+ \draw[xshift=3cm] (0,0) rectangle (1,1.5)
+ (0,0) parabola bend (.75,1.75) (1,1.5);
+\end{tikzpicture}
+\end{codeexample}
+
+ The following options influence parabolas:
+\begin{itemize}
+ \itemoption{bend}|=|\meta{coordinate}
+ Has the same effect as saying |bend|\meta{coordinate} outside the
+ \meta{options}. The option specifies that the bend of the parabola
+ should be at the given \meta{coordinate}. You have to take care
+ yourself that the bend position is a ``valid'' position; which means
+ that if there is no parabola of the form $f(x) = a x^2 + b x + c$
+ that goes through the old current point, the given bend, and the new
+ current point, the result will not be a parabola.
+
+ There is one special property of the \meta{coordinate}: When a
+ relative coordinate is given like |+(0,0)|, the position relative
+ to which this coordinate is ``flexible.'' 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.
+
+ \itemoption{bend pos}|=|\meta{fraction}
+ Specifies where the ``previous'' point is relative to which the bend
+ is calculated. The previous point will be at the \meta{fraction}th
+ part of the line from the old current point to the new current
+ point.
+
+ The idea is the following: If you say |bend pos=0| and
+ |bend +(0,0)|, the bend will be at the old current point. If you say
+ |bend pos=1| and |bend +(0,0)|, the bend will be at the new current
+ point. If you say |bend pos=0.5| and |bend +(0,2cm)| 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:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (-1,0) parabola[bend pos=0.5] bend +(0,2) +(3,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ In the above example, the |bend +(0,2)| essentially means ``a
+ parabola that is 2cm high'' and |+(3,0)| means ``and 3cm wide.''
+ Since this situation arises often, there is a special shortcut
+ option:
+ \itemoption{parabola height}|=|\meta{dimension} This option has the
+ same effect as if you had written the following instead:
+ |[bend pos=0.5,bend={+(0pt,|\meta{dimension}|)}]|.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[help lines] (0,0) grid (3,2);
+ \draw (-1,0) parabola[parabola height=2cm] +(3,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+The following styles are useful shortcuts:
+\begin{itemize}
+ \itemstyle{bend at start} This places the bend at the start of a
+ parabola. It is a shortcut for the following options:
+ |bend pos=0,bend={+(0,0)}|.
+ \itemstyle{bend at end} This places the bend at the end of a
+ parabola.
+\end{itemize}
+\end{pathoperation}
+
+
+\subsection{The Sine and Cosine Operation}
+
+The |sin| and |cos| operations are similar to the |parabola|
+operation. They, too, can be used to draw (parts of) a sine or cosine
+curve.
+
+\begin{pathoperation}{sin}{\meta{coordinate}}
+ The effect of |sin| is to draw a scaled and shifted version of a sine
+ curve in the interval $[0,\pi/2]$. 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
+ \meta{coordinate}. Here is an example that should clarify this:
+
+\begin{codeexample}[]
+\tikz \draw (0,0) rectangle (1,1) (0,0) sin (1,1)
+ (2,0) rectangle +(1.57,1) (2,0) sin +(1.57,1);
+\end{codeexample}
+\end{pathoperation}
+
+\begin{pathoperation}{cos}{\meta{coordinate}}
+ This operation works similarly, only a cosine in the interval
+ $[0,\pi/2]$ is drawn. By correctly alternating |sin| and |cos|
+ operations, you can create a complete sine or cosine curve:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[xscale=1.57]
+ \draw (0,0) sin (1,1) cos (2,0) sin (3,-1) cos (4,0) sin (5,1);
+ \draw[color=red] (0,1.5) cos (1,0) sin (2,-1.5) cos (3,0) sin (4,1.5) cos (5,0);
+\end{tikzpicture}
+\end{codeexample}
+\end{pathoperation}
+
+Note that there is no way to (conveniently) draw an interval on a sine
+or cosine curve whose end points are not multiples of $\pi/2$.
+
+
+
+\subsection{The Plot Operation}
+
+The |plot| 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.
+
+The syntax of the |plot| comes in different versions.
+
+\begin{pathoperation}{--plot}{\meta{further arguments}}
+ This operation plots the curve through the coordinates specified in
+ the \meta{further arguments}. 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 \meta{further
+ arguments} will be explained in a moment.
+\end{pathoperation}
+
+\begin{pathoperation}{plot}{\meta{further arguments}}
+ This operation plots the curve through the coordinates specified in
+ the \meta{further arguments} by first ``moving'' to the first
+ coordinate of the curve.
+\end{pathoperation}
+
+The \meta{further arguments} are used in three different ways to
+specifying the coordinates of the points to be plotted:
+
+\begin{enumerate}
+\item
+ \opt{|--|}|plot|\oarg{local options}\declare{|coordinates{|\meta{coordinate
+ 1}\meta{coordinate 2}\dots\meta{coordinate $n$}|}|}
+\item
+ \opt{|--|}|plot|\oarg{local options}\declare{|file{|\meta{filename}|}|}
+\item
+ \opt{|--|}|plot|\oarg{local options}\declare{|function{|\meta{gnuplot formula}|}|}
+\end{enumerate}
+
+These different ways are explained in the following.
+
+
+\subsubsection{Plotting Points Given Inline}
+
+In the first two cases, the points are given directly in the \TeX-file
+as in the following example:
+
+\begin{codeexample}[]
+\tikz \draw plot coordinates {(0,0) (1,1) (2,0) (3,1) (2,1) (10:2cm)};
+\end{codeexample}
+
+Here is an example showing the difference between |plot| and |--plot|:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) -- (1,1) plot coordinates {(2,0) (4,0)};
+ \draw[color=red,xshift=5cm]
+ (0,0) -- (1,1) -- plot coordinates {(2,0) (4,0)};
+\end{tikzpicture}
+\end{codeexample}
+
+
+\subsubsection{Plotting Points Read From an External File}
+
+The second way of specifying points is to put them in an external
+file named \meta{filename}. Currently, the only file format that
+\tikzname\ allows is the following: Each line of the \meta{filename}
+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 |%| or a |#| are ignored as well
+as empty lines. (This is exactly the format that \textsc{gnuplot}
+produces when you say |set terminal table|.) If necessary, more
+formats will be supported in the future, but it is usually easy to
+produce a file containing data in this form.
+
+\begin{codeexample}[]
+\tikz \draw plot[mark=x,smooth] file {plots/pgfmanual-sine.table};
+\end{codeexample}
+
+The file |plots/pgfmanual-sine.table| reads:
+\begin{codeexample}[code only]
+#Curve 0, 20 points
+#x y type
+0.00000 0.00000 i
+0.52632 0.50235 i
+1.05263 0.86873 i
+1.57895 0.99997 i
+...
+9.47368 -0.04889 i
+10.00000 -0.54402 i
+\end{codeexample}
+It was produced from the following source, using |gnuplot|:
+\begin{codeexample}[code only]
+set terminal table
+set output "../plots/pgfmanual-sine.table"
+set format "%.5f"
+set samples 20
+plot [x=0:10] sin(x)
+\end{codeexample}
+
+The \meta{local options} of the |plot| operation are local to each
+plot and do not affect other plots ``on the same path.'' For example,
+|plot[yshift=1cm]| will locally shift the plot 1cm upward. Remember,
+however, that most options can only be applied to paths as a
+whole. For example, |plot[red]| does not have the effect of making the
+plot red. After all, you are trying to ``locally'' make part of the
+path red, which is not possible.
+
+\subsubsection{Plotting a Function}
+\label{section-tikz-gnuplot}
+
+Often, you will want to plot points that are given via a function like
+$f(x) = x \sin x$. Unfortunately, \TeX\ 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, \TeX\ can try to call external programs that can
+easily produce the necessary points. Currently, \tikzname\ knows how to
+call \textsc{gnuplot}.
+
+When \tikzname\ encounters your operation
+|plot[id=|\meta{id}|] function{x*sin(x)}| for
+the first time, it will create a file called
+\meta{prefix}\meta{id}|.gnuplot|, where \meta{prefix} is |\jobname.| by
+default, that is, the name of you main |.tex| file. If no \meta{id} is
+given, it will be empty, which is alright, but it is better when each
+plot has a unique \meta{id} for reasons explained in a moment. Next,
+\tikzname\ writes some initialization code into this file followed by
+|plot x*sin(x)|. The initialization code sets up things
+such that the |plot| operation will write the coordinates into another
+file called \meta{prefix}\meta{id}|.table|. Finally, this table file
+is read as if you had said |plot file{|\meta{prefix}\meta{id}|.table}|.
+
+For the plotting mechanism to work, two conditions must be met:
+\begin{enumerate}
+\item
+ You must have allowed \TeX\ to call external programs. This is often
+ switched off by default since this is a security risk (you might,
+ without knowing, run a \TeX\ file that calls all sorts of ``bad''
+ commands). To enable this ``calling external programs'' a command
+ line option must be given to the \TeX\ program. Usually, it is
+ called something like |shell-escape| or |enable-write18|. For
+ example, for my |pdflatex| the option |--shell-escape| can be
+ given.
+\item
+ You must have installed the |gnuplot| program and \TeX\ must find it
+ when compiling your file.
+\end{enumerate}
+
+Unfortunately, these conditions will not always be met. Especially if
+you pass some source to a coauthor and the coauthor does not have
+\textsc{gnuplot} installed, he or she will have trouble compiling your
+files.
+
+For this reason, \tikzname\ behaves differently when you compile your
+graphic for the second time: If upon reaching
+|plot[id=|\meta{id}|] function{...}| the file \meta{prefix}\meta{id}|.table|
+already exists \emph{and} if the \meta{prefix}\meta{id}|.gnuplot| file
+contains what \tikzname\ thinks that it ``should'' contain, the |.table|
+file is immediately read without trying to call a |gnuplot|
+program. This approach has the following advantages:
+\begin{enumerate}
+\item
+ If you pass a bundle of your |.tex| file and all |.gnuplot| and
+ |.table| files to someone else, that person can \TeX\ the |.tex|
+ file without having to have |gnuplot| installed.
+\item
+ If the |\write18| feature is switched off for security reasons (a
+ good idea), then, upon the first compilation of the |.tex| file, the
+ |.gnuplot| will still be generated, but not the |.table|
+ file. You can then simply call |gnuplot| ``by hand'' for each
+ |.gnuplot| file, which will produce all necessary |.table| files.
+\item
+ If you change the function that you wish to plot or its
+ domain, \tikzname\ will automatically try to regenerate the |.table|
+ file.
+\item
+ If, out of laziness, you do not provide an |id|, the same |.gnuplot|
+ will be used for different plots, but this is not a problem since
+ the |.table| will automatically be regenerated for each plot
+ on-the-fly. \emph{Note: If you intend to share your files with
+ someone else, always use an id, so that the file can by typeset
+ without having \textsc{gnuplot} installed.} Also, having unique ids
+ for each plot will improve compilation speed since no external
+ programs need to be called, unless it is really necessary.
+\end{enumerate}
+
+When you use |plot function{|\meta{gnuplot formula}|}|, the \meta{gnuplot
+ formula} must be given in the |gnuplot| syntax, whose details are
+beyond the scope of this manual. Here is the ultra-condensed
+essence: Use |x| as the variable and use the C-syntax for normal
+plots, use |t| as the variable for parametric plots. Here are some examples:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[domain=0:4]
+ \draw[very thin,color=gray] (-0.1,-1.1) grid (3.9,3.9);
+
+ \draw[->] (-0.2,0) -- (4.2,0) node[right] {$x$};
+ \draw[->] (0,-1.2) -- (0,4.2) node[above] {$f(x)$};
+
+ \draw[color=red] plot[id=x] function{x} node[right] {$f(x) =x$};
+ \draw[color=blue] plot[id=sin] function{sin(x)} node[right] {$f(x) = \sin x$};
+ \draw[color=orange] plot[id=exp] function{0.05*exp(x)} node[right] {$f(x) = \frac{1}{20} \mathrm e^x$};
+\end{tikzpicture}
+\end{codeexample}
+
+
+The following options influence the plot:
+
+\begin{itemize}
+ \itemoption{samples}|=|\meta{number}
+ sets the number of samples used in the plot. The default is 25.
+ \itemoption{domain}|=|\meta{start}|:|\meta{end}
+ sets the domain between which the samples are taken. The default is
+ |-5:5|.
+ \itemoption{parametric}\opt{|=|\meta{true or false}}
+ sets whether the plot is a parametric plot. If true, then |t| must
+ be used instead of |x| as the parameter and two comma-separated
+ functions must be given in the \meta{gnuplot formula}. An example is
+ the following:
+\begin{codeexample}[]
+\tikz \draw[scale=0.5,domain=-3.141:3.141,smooth]
+ plot[parametric,id=parametric-example] function{t*sin(t),t*cos(t)};
+\end{codeexample}
+
+ \itemoption{id}|=|\meta{id}
+ 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 \meta{id} will be
+ part of a filename, so it should not contain anything fancy like |*|
+ or |$|.%$
+ \itemoption{prefix}|=|\meta{prefix}
+ is put before each plot file name. The default is |\jobname.|, but
+ if you have many plots, it might be better to use, say |plots/| and
+ have all plots placed in a directory. You have to create the
+ directory yourself.
+ \itemoption{raw gnuplot}
+ causes the \meta{gnuplot formula} to be passed on to
+ \textsc{gnuplot} without setting up the samples or the |plot|
+ operation. Thus, you could write
+\begin{codeexample}[code only]
+plot[raw gnuplot,id=raw-example] function{set samples 25; plot sin(x)}
+\end{codeexample}
+ This can be
+ useful for complicated things that need to be passed to
+ \textsc{gnuplot}. However, for really complicated situations you
+ should create a special external generating \textsc{gnuplot} file
+ and use the |file|-syntax to include the table ``by hand.''
+\end{itemize}
+
+The following styles influence the plot:
+\begin{itemize}
+ \itemstyle{every plot}
+ This style is installed in each plot, that is, as if you always said
+\begin{codeexample}[code only]
+ plot[style=every plot,...]
+\end{codeexample}
+ This is most useful for globally setting a prefix for all plots by saying:
+\begin{codeexample}[code only]
+\tikzstyle{every plot}=[prefix=plots/]
+\end{codeexample}
+\end{itemize}
+
+
+
+\subsubsection{Placing Marks on the Plot}
+
+As we saw already, it is possible to add \emph{marks} to a plot using
+the |mark| 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 \emph{after} the whole path has been drawn/filled/shaded. In
+this respect, they are handled like text nodes.
+
+In detail, the following options govern how marks are drawn:
+\begin{itemize}
+ \itemoption{mark}|=|\meta{mark mnemonic}
+ Sets the mark to a mnemonic that has previously been defined using
+ the |\pgfdeclareplotmark|. By default, |*|, |+|, and |x| are available,
+ which draw a filled circle, a plus, and a cross as marks. Many more
+ marks become available when the library |pgflibraryplotmarks| is
+ loaded. Section~\ref{section-plot-marks} lists the available plot
+ marks.
+
+ 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
+ to render in PostScript.
+
+ \begin{tabular}{lc}
+ Option & Effect \\\hline \vrule height14pt width0pt
+ \plotmarkentrytikz{ball}
+ \end{tabular}
+
+ \itemoption{mark size}|=|\meta{dimension}
+ Sets the size of the plot marks. For circular plot marks,
+ \meta{dimension} is the radius, for other plot marks
+ \meta{dimension} should be about half the width and height.
+
+ This option is not really necessary, since you achieve the same
+ effect by specifying |scale=|\meta{factor} as a local option, where
+ \meta{factor} is the quotient of the desired size and the default
+ size. However, using |mark size| is a bit faster and more natural.
+
+ \itemoption{mark options}|=|\meta{options}
+ 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.
+\begin{codeexample}[]
+\tikz \fill[fill=blue!20]
+ plot[mark=triangle*,mark options={color=blue,rotate=180}]
+ file{plots/pgfmanual-sine.table} |- (0,0);
+\end{codeexample}
+\end{itemize}
+
+
+
+\subsubsection{Smooth Plots, Sharp Plots, and Comb Plots}
+
+There are different things the |plot| 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 |plot|.
+
+\begin{itemize}
+ \itemoption{sharp plot}
+ This is the default and causes the points to be connected by
+ straight lines. This option is included only so that you can
+ ``switch back'' if you ``globally'' install, say, |smooth|.
+
+ \itemoption{smooth}
+ This option causes the points on the path to be connected using a
+ smooth curve:
+
+\begin{codeexample}[]
+\tikz\draw plot[smooth] file{plots/pgfmanual-sine.table};
+\end{codeexample}
+
+ 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 $30^\circ$ and, even more importantly, if the distances
+ between points are about the same all over the plotting path.
+
+ \itemoption{tension}|=|\meta{value}
+ This option influences how ``tight'' the smoothing is. A lower value
+ will result in sharper corners, a higher value in more ``round''
+ curves. A value of $1$ results in a circle if four points at
+ quarter-positions on a circle are given. The default is $0.55$. The
+ ``correct'' value depends on the details of plot.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[smooth cycle]
+ \draw plot[tension=0.2]
+ coordinates{(0,0) (1,1) (2,0) (1,-1)};
+ \draw[yshift=-2.25cm] plot[tension=0.5]
+ coordinates{(0,0) (1,1) (2,0) (1,-1)};
+ \draw[yshift=-4.5cm] plot[tension=1]
+ coordinates{(0,0) (1,1) (2,0) (1,-1)};
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{smooth cycle}
+ This option causes the points on the path to be connected using a
+ closed smooth curve.
+
+\begin{codeexample}[]
+\tikz[scale=0.5]
+ \draw plot[smooth cycle] coordinates{(0,0) (1,0) (2,1) (1,2)}
+ plot coordinates{(0,0) (1,0) (2,1) (1,2)} -- cycle;
+\end{codeexample}
+
+ \itemoption{ycomb}
+ This option causes the |plot| 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 $x$-axis to the point,
+ resulting in a sort of ``comb'' or ``bar diagram.''
+
+\begin{codeexample}[]
+\tikz\draw[ultra thick] plot[ycomb,thin,mark=*] file{plots/pgfmanual-sine.table};
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}[ycomb]
+ \draw[color=red,line width=6pt]
+ plot coordinates{(0,1) (.5,1.2) (1,.6) (1.5,.7) (2,.9)};
+ \draw[color=red!50,line width=4pt,xshift=3pt]
+ plot coordinates{(0,1.2) (.5,1.3) (1,.5) (1.5,.2) (2,.5)};
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{xcomb}
+ This option works like |ycomb| except that the bars are horizontal.
+
+\begin{codeexample}[]
+\tikz \draw plot[xcomb,mark=x] coordinates{(1,0) (0.8,0.2) (0.6,0.4) (0.2,1)};
+\end{codeexample}
+
+ \itemoption{polar comb}
+ This option causes a line from the origin to the point to be added
+ to the path for each plot point.
+
+\begin{codeexample}[]
+\tikz \draw plot[polar comb,
+ mark=pentagon*,mark options={fill=white,draw=red},mark size=4pt]
+ coordinates {(0:1cm) (30:1.5cm) (160:.5cm) (250:2cm) (-60:.8cm)};
+\end{codeexample}
+
+
+ \itemoption{only marks}
+ 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.
+
+\begin{codeexample}[]
+\tikz \draw (0,0) sin (1,1) cos (2,0)
+ plot[only marks,mark=x] coordinates{(0,0) (1,1) (2,0) (3,-1)};
+\end{codeexample}
+\end{itemize}
+
+
+
+
+
+\subsection{The Scoping Operation}
+
+When \tikzname\ encounters and opening or a closing brace (|{| or~|}|) at
+some point where a path operation should come, it will open or close a
+scope. All options that can be applied ``locally'' will be scoped
+inside the scope. For example, if you apply a transformation like
+|[xshift=1cm]| inside the scoped area, the shifting only applies to
+the scope. On the other hand, an option like |color=red| does not have
+any effect inside a scope since it can only be applied to the path as
+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}.
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
new file mode 100644
index 00000000000..5339e802d4a
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-scopes.tex
@@ -0,0 +1,364 @@
+% 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[Hierarchical Structures: Package, Environments, Scopes, and Styles]
+{Hierarchical Structures:\\
+ Package, Environments, Scopes, and Styles}
+
+The present section explains how your files should be structured when
+you use \tikzname. On the top level, you need to include the |tikz|
+package. In the main text, each graphic needs to be put in a
+|{tikzpicture}| environment. Inside these environments, you can use
+|{scope}| environments to create internal groups. Inside the scopes
+you use |\path| 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.
+
+
+
+\subsection{Loading the Package}
+
+\begin{package}{tikz}
+ This package does not have any options.
+
+ This will automatically load the \pgfname\ package and several other
+ stuff that \tikzname\ needs (like the |xkeyval| package).
+
+ \pgfname\ needs to know what \TeX\ driver you are intending to use. In
+ most cases \pgfname\ is clever enough to determine the correct driver
+ for you; this is true in particular if you \LaTeX. Currently, the only
+ situation where \pgfname\ cannot know the driver ``by itself'' is when
+ you use plain \TeX\ or Con\TeX t together with |dvipdfm|. In this case,
+ you have to write |\def\pgfsysdriver{pgfsys-dvipdfm.def}|
+ \emph{before} you input |tikz.tex|.
+\end{package}
+
+
+
+\subsection{Creating a Picture}
+
+\subsubsection{Creating a Picture Using an Environment}
+
+The ``outermost'' scope of \tikzname\ is the |{tikzpicture}|
+environment. You may give drawing commands only inside this
+environment, giving them outside (as is possible in many other
+packages) will result in chaos.
+
+In \tikzname, 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 ``nearly always'' refers to the name
+of nodes, which can also be specified differently.) All graphic
+options are local to the |{tikzpicture}| to which they apply.
+
+\begin{environment}{{tikzpicture}\opt{\oarg{options}}}
+ All \tikzname\ commands should be given inside this
+ environment, except for the |\tikzstyle| command. Unlike other
+ packages, it is not possible to use, say, |\pgfpathmoveto| outside
+ this environment and doing so will result in chaos. For \tikzname,
+ commands like |\path| are only defined inside this environment, so
+ there is little chance that you will do something wrong here.
+
+ When this environment is encountered, the \meta{options} are
+ parsed. All options given here will apply to the whole
+ picture.
+
+ 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-\pgfname\ commands inside a
+ |{tikzpicture}| environment should not produce any ``output'' 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 |\nullfont|. You can, however,
+ ``escape back'' to normal \TeX\ typesetting. This happens, for
+ example, when you specify a node.
+
+ At the end of the environment, \pgfname\ 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 ``make its
+ guess,'' everytime \pgfname\ encounters a coordinate, it updates the
+ bound box'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
+ ``outside'' the curve and make the bounding box too large. In this
+ case, you should use the |[use as bounding box]| option.
+
+ The following option influences the baseline of the resulting
+ picture:
+ \begin{itemize}
+ \itemoption{baseline}\opt{|=|\meta{dimension}}
+ 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
+ lower end of the picture is at $-.5\mathrm{ex}$ and that the upper
+ end is at $.5\mathrm{ex}$. Then, the lower end will be put on the
+ baseline, resulting in the following: \tikz\draw(0,0)circle(.5ex);.
+
+ Using this option, you can specify that the picture should be
+ raised or lowered such that the height \meta{dimension} is on the
+ baseline. For example, |tikz[baseline=0pt]\draw(0,0)circle(.5ex);|
+ yields \tikz[baseline=0pt]\draw(0,0)circle(.5ex); since, now, the
+ baseline is on the height of the $x$-axis. If you omit the
+ \meta{dimensions}, |0pt| is assumed as default.
+
+ This options is often useful for ``inlined'' graphics as in
+\begin{codeexample}[]
+$A \mathbin{\tikz[baseline] \draw[->>] (0pt,.5ex) -- (3ex,.5ex);} B$
+\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
+ given in the argument of the |{tikzpicture}| environment itself
+ since this option will not have an effect otherwise. After all,
+ the picture has already ``started'' later on.
+
+ This option is mainly used in styles like the |every picture|
+ style to execute certain code at the start of a picture.
+
+ \itemoption{execute at end picture}|=|\meta{code}
+ 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 |{tikzpicture}| environment.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[execute at end picture=%
+ {
+ \begin{pgfonlayer}{background}
+ \path[fill=yellow,rounded corners]
+ (current bounding box.south west) rectangle
+ (current bounding box.north east);
+ \end{pgfonlayer}
+ }]
+ \node at (0,0) {X};
+ \node at (2,1) {Y};
+\end{tikzpicture}
+\end{codeexample}
+ \end{itemize}
+
+ All options ``end'' at the end of the picture. To set an option
+ ``globally'' you can use the following style:
+ \begin{itemize}
+ \itemstyle{every picture}
+ This style is installed at the beginning of each picture.
+\begin{codeexample}[code only]
+\tikzstyle{every picture}=[semithick]
+\end{codeexample}
+ \end{itemize}
+\end{environment}
+
+In plain \TeX, you should use instead the following commands:
+
+\begin{plainenvironment}{{tikzpicture}\opt{\oarg{options}}}
+\end{plainenvironment}
+
+
+\subsubsection{Creating a Picture Using a Command}
+
+The following two commands are used for ``small'' graphics.
+
+\begin{command}{\tikz\opt{\oarg{options}}\marg{commands}}
+ This command places the \meta{commands} inside a
+ |{tikzpicture}| environment and adds a semicolon at the end. This is
+ just a convenience.
+
+ The \meta{commands} may not contain a paragraph (an empty
+ line). This is a precaution to ensure that users really use this
+ command only for small graphics.
+
+ \example |\tikz{\draw (0,0) rectangle (2ex,1ex)}| yields
+ \tikz{\draw (0,0) rectangle (2ex,1ex);}
+\end{command}
+
+
+\begin{command}{\tikz\opt{\oarg{options}}\meta{text}|;|}
+ If the \meta{text} does not start with an opening brace, the end of
+ the \meta{text} is the next semicolon that is encountered.
+
+ \example |\tikz \draw (0,0) rectangle (2ex,1ex);| yields
+ \tikz \draw (0,0) rectangle (2ex,1ex);
+\end{command}
+
+
+
+\subsubsection{Adding a Background}
+
+By default, pictures do not have any background, that is, they are
+``transparent'' 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.
+
+Since backgrounds are often not needed at all, the definition of
+styles for adding backgrounds has been put in the library package
+|pgflibrarytikzbackgrounds|. This package is documented in
+Section~\ref{section-tikz-backgrounds}.
+
+
+\subsection{Using Scopes to Structure a Picture}
+
+Inside a |{tikzpicture}| environment you can create scopes
+using the |{scope}| environment. This environment is available only
+inside the |{tikzpicture}| environment, so once more, there is little
+chance of doing anything wrong.
+
+\begin{environment}{{scope}\opt{\oarg{options}}}
+ All \meta{options} are local to the \meta{environment
+ contents}. Furthermore, the clipping path is also local to the
+ environment, that is, any clipping done inside the environment
+ ``ends'' at its end.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \begin{scope}[red]
+ \draw (0mm,0mm) -- (10mm,0mm);
+ \draw (0mm,1mm) -- (10mm,1mm);
+ \end{scope}
+ \draw (0mm,2mm) -- (10mm,2mm);
+ \begin{scope}[green]
+ \draw (0mm,3mm) -- (10mm,3mm);
+ \draw (0mm,4mm) -- (10mm,4mm);
+ \draw[blue] (0mm,5mm) -- (10mm,5mm);
+ \end{scope}
+\end{tikzpicture}
+\end{codeexample}
+
+ The following style influences scopes:
+ \begin{itemize}
+ \itemstyle{every scope}
+ 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?
+ \end{itemize}
+
+ The following options are useful for scopes:
+ \begin{itemize}
+ \itemoption{execute at begin scope}|=|\meta{code}
+ 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 |{scope}| environment.
+
+ The effect applies only to the current scope, not to subscopes.
+
+ \itemoption{execute at end scope}|=|\meta{code}
+ 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 |{scope}| environment.
+
+ Again, the effect applies only to the current scope, not to subscopes.
+ \end{itemize}
+\end{environment}
+
+
+In plain \TeX, you use the following commands instead:
+
+\begin{plainenvironment}{{scope}\opt{\oarg{options}}}
+\end{plainenvironment}
+
+
+
+\subsection{Using Scopes Inside Paths}
+
+The |\path| 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
+\begin{codeexample}[]
+\tikz \draw (0,0) -- (1,1)
+ {[rounded corners] -- (2,0) -- (3,1)}
+ -- (3,0) -- (2,1);
+\end{codeexample}
+
+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
+|color| of the path. See the explanations in the section on paths for
+more details.
+
+Finally, certain elements that you specify in the argument to the
+|\path| 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.
+
+
+
+\subsection{Using Styles to Manage How Pictures Look}
+
+There is a way of organizing sets of graphic options ``orthogonally''
+to the normal scoping mechanism. For example, you might wish all your
+``help lines'' to be drawn in a certain way like, say, gray and thin
+(do \emph{not} dash them, that distracts). For this, you can use
+\emph{styles}.
+
+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 |style| option:
+
+\begin{itemize}
+ \itemoption{style}|=|\meta{style name}
+ invokes all options that are currently set in the \meta{style
+ name}. An example of a style is the predefined |help lines| 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.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) grid +(2,2);
+ \draw[style=help lines] (2,0) grid +(2,2);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+\begin{command}{\tikzstyle\meta{style name}\opt{|+|}|=[|\meta{options}|]|}
+ This command defines the style \meta{style name}. Whenever it is
+ used using the |style=|\meta{style name} command, the \meta{options}
+ will be invoked. It is permissible that a style invokes another
+ style using the |style=| command inside the \meta{options}, which
+ allows you to build hierarchies of styles. Naturally, you should
+ \emph{not} create cyclic dependencies.
+
+ If the style already has a predefined meaning, it will
+ unceremoniously be redefined without a warning.
+\begin{codeexample}[]
+\tikzstyle{help lines}=[blue!50,very thin]
+\begin{tikzpicture}
+ \draw (0,0) grid +(2,2);
+ \draw[style=help lines] (2,0) grid +(2,2);
+\end{tikzpicture}
+\end{codeexample}
+
+ If the optional |+| is given, the options are \emph{added} to the
+ existing definition:
+\begin{codeexample}[]
+\tikzstyle{help lines}+=[dashed]% aaarghhh!!!
+\begin{tikzpicture}
+ \draw (0,0) grid +(2,2);
+ \draw[style=help lines] (2,0) grid +(2,2);
+\end{tikzpicture}
+\end{codeexample}
+\end{command}
+
+It is also possible to set a style using an option:
+\begin{itemize}
+ \itemoption{set style}|={|\marg{style name}\opt{|+|}|=[|\meta{options}|]}|
+ This option has the same effect as saying |\tikzstyle| before the
+ argument of the option.
+\begin{codeexample}[]
+\begin{tikzpicture}[set style={{help lines}+=[dashed]}]
+ \draw (0,0) grid +(2,2);
+ \draw[style=help lines] (2,0) grid +(2,2);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
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
new file mode 100644
index 00000000000..e118bf98449
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-shapes.tex
@@ -0,0 +1,832 @@
+% 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.
+
+
+\section{Nodes}
+
+\label{section-nodes}
+
+\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
+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}.
+
+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
+whenever \tikzname\ encounters |node| or |coordinate| at a point on a
+path where it would expect a normal path operation (like |-- (1,1)| or
+|sin (1,1)|). It is also possible to give node specifications
+\emph{inside} certain path operations as explained later.
+
+The node operation is typically followed by some options, which apply
+only to the node. Then, you can optionally \emph{name} the node by
+providing a name in round braces. Lastly, for the |node| operation you
+must provide some label text for the node in curly braces, while for
+the |coordinate| operation you may not. The node is placed at the
+current position of the path \emph{after the path has been
+ drawn}. Thus, all nodes are drawn ``on top'' 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.
+
+\begin{codeexample}[]
+\tikz \fill[fill=examplefill]
+ (0,0) node {first node}
+ -- (1,1) node {second node}
+ -- (0,2) node {third node};
+\end{codeexample}
+
+The syntax for specifying nodes is the following:
+\begin{pathoperation}{node}{\opt{|[|\meta{options}|]|}\opt{|(|\meta{name}|)|}%
+ \opt{|at(|\meta{coordinate}|)|}\opt{\marg{text}}}
+ The effect of |at| is to place the node at the coordinate given
+ after |at| and not, as would normally be the case, at the last
+ position. The |at| syntax is not available when a node is given
+ inside a path operation (it would not make any sense, there).
+
+ The |(|\meta{name}|)| is a name for later reference and it is
+ optional. You may also add the option |name=|\meta{name} to the
+ \meta{option} list; it has the same effect.
+
+ \begin{itemize}
+ \itemoption{name}|=|\meta{node name}
+ assigns a name to the node for later reference. Since this is a
+ ``high-level'' 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 |1| or perhaps |start of chart| or even
+ |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.
+ \end{itemize}
+
+ The \meta{options} is an optional list of options that \emph{apply
+ only to the node} and have no effect outside. The other way round,
+ most ``outside'' options also apply to the node, but not all. For
+ example, the ``outside'' rotation does not apply to nodes (unless some
+ special options are used, sigh). Also, the outside path action, like
+ |draw| or |fill|, never applies to the node and must be given in the
+ node (unless some special other options are used, deep sigh).
+
+ As mentioned before, we can add a border and even a background to a
+ node:
+\begin{codeexample}[]
+\tikz \fill[fill=examplefill]
+ (0,0) node {first node}
+ -- (1,1) node[draw] {second node}
+ -- (0,2) node[fill=red!20,draw,double,rounded corners] {third node};
+\end{codeexample}
+
+ The ``border'' is actually just a special case of a much more general
+ mechanism. Each node has a certain \emph{shape} which, by default, is
+ a rectangle. However, we can also ask \tikzname\ to use a circle shape
+ instead or an ellipse shape (you have to include |pgflibraryshapes| for
+ the latter shape):
+
+\begin{codeexample}[]
+\tikz \fill[fill=examplefill]
+ (0,0) node{first node}
+ -- (1,1) node[ellipse,draw] {second node}
+ -- (0,2) node[circle,fill=red!20] {third node};
+\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.
+
+ To select the shape of a node, the following option is used:
+ \begin{itemize}
+ \itemoption{shape}|=|\meta{shape name}
+ 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.%
+ \indexoption{\meta{shape name}}
+
+ Since this option is used often, you can leave out the
+ |shape=|. When \tikzname\ encounters an option like |circle|
+ 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 |shape=|\meta{shape name}.
+
+ By default, the following shapes are available: |rectangle|,
+ |circle|, |coordinate|, and, when the package |pgflibraryshapes| is
+ loaded, also |ellipse|. Details of these shapes, like their anchors
+ and size options, are discussed in Section~\ref{section-the-shapes}.
+ \end{itemize}
+
+ The following styles influences how nodes are rendered:
+ \begin{itemize}
+ \itemstyle{every node}
+ This style is installed at the beginning of every node.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every node}=[draw]
+ \draw (0,0) node {A} -- (1,1) node {B};
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemstyle{every \meta{shape} node}
+ These styles are installed at the beginning of a node of a given
+ \meta{shape}. For example, |every rectangle node| is used for
+ rectangle nodes, and so on.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every rectangle node}=[draw]
+ \tikzstyle{every circle node}= [draw,double]
+ \draw (0,0) node[rectangle] {A} -- (1,1) node[circle] {B};
+\end{tikzpicture}
+\end{codeexample}
+ \end{itemize}
+\end{pathoperation}
+
+The is a special syntax for specifying ``light-weighed'' nodes:
+
+\begin{pathoperation}{coordinate}{\opt{|[|\meta{options}|]|}|(|\meta{name}|)|\opt{|at(|\meta{coordinate}|)|}}
+ This has the same effect as
+
+ |node[shape=coordinate][|\meta{options}|](|\meta{name}|)at(|\meta{coordinate}|){}|,
+
+ where the |at| part might be missing.
+\end{pathoperation}
+
+
+
+\subsection{Multi-Part Nodes}
+
+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
+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 \textsc{uml} 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.
+
+Both \pgfname\ and \tikzname\ support such multipart nodes. On the
+lower level, \pgfname\ provides a system for specifying that a shape
+consists of several parts. On the \tikzname\ level, you specify the
+different node parts by using the following command:
+
+\begin{command}{\nodepart\marg{part name}}
+ This command can only be used inside the \meta{text} argument of a
+ |node| path operation. It works a little bit like a |\part| command
+ in \LaTeX. 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 \meta{part name}---until another |\partname| is
+ encountered or until the node \meta{text} ends.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node [state with output,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
+ $00$
+ }; % output part ended.
+\end{tikzpicture}
+\end{codeexample}
+
+ You will have to lookup which parts are defined by a shape.
+
+ The following styles influences node parts:
+ \begin{itemize}
+ \itemstyle{every \meta{part name} node part}
+ 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} $00$};
+\end{codeexample}
+ \end{itemize}
+\end{command}
+
+
+
+\subsection{Options for the Text in Nodes}
+
+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
+set the color used for text using the following option:
+
+\begin{itemize}
+ \itemoption{text}|=|\meta{color}
+ Sets the color to be used for text labels. A |color=| option
+ will immediately override this option.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[red] (0,0) -- +(1,1) node[above] {red};
+ \draw[text=red] (1,0) -- +(1,1) node[above] {red};
+ \draw (2,0) -- +(1,1) node[above,red] {red};
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+Next, you may wish to adjust the font used for the text. Use the
+following option for this:
+\begin{itemize}
+ \itemoption{font}|=|\meta{font commands}
+ Sets the font used for text labels.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[font=\itshape] (1,0) -- +(1,1) node[above] {italic};
+\end{tikzpicture}
+\end{codeexample}
+ A perhaps more useful example is the following:
+
+\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};
+\end{codeexample}
+\end{itemize}
+
+
+Normally, when a node is typeset, all the text you give in the braces
+is but in one long line (in an |\hbox|, to be precise) and the node
+will become as wide as necessary.
+
+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).
+
+\begin{itemize}
+ \itemoption{text width}|=|\meta{dimension}
+ This option will put the text of a node in a box of the given width
+ (more precisely, in a |{minipage}| of this width; for plain \TeX\ a
+ rudimentary ``minipage emulation'' is used).
+
+ If the node text is not as wide as \meta{dimension}, it will
+ nevertheless be put in a box of this width. If it is larger, line
+ breaking will be done.
+
+ 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.
+\begin{codeexample}[]
+\tikz \draw (0,0) node[fill=examplefill,text width=3cm]
+ {This is a demonstration text for showing how line breaking works.};
+\end{codeexample}
+ \itemoption{text justified}
+ causes the text to be justified instead of (right)ragged. Use this
+ only with pretty broad nodes.
+{%
+\hbadness=10000
+\begin{codeexample}[]
+\tikz \draw (0,0) node[fill=examplefill,text width=3cm,text justified]
+ {This is a demonstration text for showing how line breaking works.};
+\end{codeexample}
+}
+ In the above example, \TeX\ complains (rightfully) about three very
+ badly typeset lines. (For this manual I asked \TeX\ to stop
+ complaining by using |\hbadness=10000|, but this is a foul deed,
+ indeed.)
+ \itemoption{text ragged}
+ causes the text to be typeset with a ragged right. This uses the
+ original plain \TeX\ definition of a ragged right border, in which
+ \TeX\ will try to balance the right border as well as possible. This
+ is the default.
+\begin{codeexample}[]
+\tikz \draw (0,0) node[fill=examplefill,text width=3cm,text ragged]
+ {This is a demonstration text for showing how line breaking works.};
+\end{codeexample}
+ \itemoption{text badly ragged}
+ causes the right border to be ragged in the \LaTeX-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.
+\begin{codeexample}[]
+\tikz \draw (0,0) node[fill=examplefill,text width=3cm,text badly ragged]
+ {This is a demonstration text for showing how line breaking works.};
+\end{codeexample}
+ \itemoption{text centered}
+ centers the text, but tries to balance the lines.
+\begin{codeexample}[]
+\tikz \draw (0,0) node[fill=examplefill,text width=3cm,text centered]
+ {This is a demonstration text for showing how line breaking works.};
+\end{codeexample}
+ \itemoption{text badly centered}
+ centers the text, without balancing the lines.
+\begin{codeexample}[]
+\tikz \draw (0,0) node[fill=examplefill,text width=3cm,text badly centered]
+ {This is a demonstration text for showing how line breaking works.};
+\end{codeexample}
+\end{itemize}
+
+
+
+\subsection{Placing Nodes Using 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.
+
+\pgfname\ 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. \pgfname\ defines numerous anchor
+positions in the shape. For example to upper right corner is called,
+well, not ``upper right anchor,'' but the |north east| anchor of the
+shape. The center of the shape has an anchor called |center| on top of
+it, and so on. Here are some examples (a complete list is given in
+Section~\ref{section-the-shapes}).
+
+\medskip\noindent
+\begin{tikzpicture}
+ \path node[minimum height=2cm,minimum width=5cm,fill=blue!25](x) {Big node};
+ \fill (x.north) circle (2pt) node[above] {|north|}
+ (x.north east) circle (2pt) node[above] {|north east|}
+ (x.north west) circle (2pt) node[above] {|north west|}
+ (x.west) circle (2pt) node[left] {|west|}
+ (x.east) circle (2pt) node[right] {|east|}
+ (x.base) circle (2pt) node[below] {|base|};
+\end{tikzpicture}
+
+Now, when you place a node at a certain coordinate, you can ask \tikzname\
+to place the node shifted around in such a way that a certain
+anchor is at the coordinate. In the following example, we ask \tikzname\
+to shift the first node such that its |north east| anchor is at
+coordinate |(0,0)| and that the |west| anchor of the second node is at
+coordinate |(1,1)|.
+
+\begin{codeexample}[]
+\tikz \draw (0,0) node[anchor=north east] {first node}
+ rectangle (1,1) node[anchor=west] {second node};
+\end{codeexample}
+
+Since the default anchor is |center|, the default behaviour is to
+shift the node in such a way that it is centered on the current
+position.
+
+\begin{itemize}
+ \itemoption{anchor}|=|\meta{anchor name}
+ causes the node to be shifted such that it's anchor \meta{anchor
+ name} lies on the current coordinate.
+
+ The only anchor that is present in all shapes is |center|. However,
+ most shapes will at least define anchors in all ``compass
+ directions.'' Furthermore, the standard shapes also define a |base|
+ anchor, as well as |base west| and |base east|, for placing things on
+ the baseline of the text.
+
+ The standard shapes also define a |mid| anchor (and |mid west| and
+ |mid east|). This anchor is half the height of the character ``x''
+ above the base line. This anchor is useful for vertically centering
+ multiple nodes that have different heights and depth. Here is an
+ example:
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3,transform shape]
+ % First, center alignment -> wobbles
+ \draw[anchor=center] (0,1) node{x} -- (0.5,1) node{y} -- (1,1) node{t};
+ % Second, base alignment -> no wobble, but too high
+ \draw[anchor=base] (0,.5) node{x} -- (0.5,.5) node{y} -- (1,.5) node{t};
+ % Third, mid alignment
+ \draw[anchor=mid] (0,0) node{x} -- (0.5,0) node{y} -- (1,0) node{t};
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+Unfortunately, while perfectly logical, it is often rather
+counter-intuitive that in order to place a node \emph{above} a given
+point, you need to specify the |south| anchor. For this reason, there
+are some useful options that allow you to select the standard anchors
+more intuitively:
+\begin{itemize}
+ \itemoption{above}\opt{|=|\meta{offset}}
+ does the same as |anchor=south|. If the \meta{offset} is specified,
+ the node is additionally shifted upwards by the given
+ \meta{offset}.
+\begin{codeexample}[]
+\tikz \fill (0,0) circle (2pt) node[above] {above};
+\end{codeexample}
+\begin{codeexample}[]
+\tikz \fill (0,0) circle (2pt) node[above=2pt] {above};
+\end{codeexample}
+ \itemoption{above left}\opt{|=|\meta{offset}}
+ does the same as |anchor=south east|. If the \meta{offset} is
+ specified, the node is additionally shifted upwards and right by
+ \meta{offset}.
+\begin{codeexample}[]
+\tikz \fill (0,0) circle (2pt) node[above left] {above left};
+\end{codeexample}
+\begin{codeexample}[]
+\tikz \fill (0,0) circle (2pt) node[above left=2pt] {above left};
+\end{codeexample}
+ \itemoption{above right}\opt{|=|\meta{offset}}
+ does the same as |anchor=south west|.
+\begin{codeexample}[]
+\tikz \fill (0,0) circle (2pt) node[above right] {above right};
+\end{codeexample}
+ \itemoption{left}\opt{|=|\meta{offset}}
+ does the same as |anchor=east|.
+\begin{codeexample}[]
+\tikz \fill (0,0) circle (2pt) node[left] {left};
+\end{codeexample}
+ \itemoption{right}\opt{|=|\meta{offset}}
+ does the same as |anchor=west|.
+ \itemoption{below}\opt{|=|\meta{offset}}
+ does the same as |anchor=north|.
+ \itemoption{below left}\opt{|=|\meta{offset}}
+ does the same as |anchor=north east|.
+ \itemoption{below right}\opt{|=|\meta{offset}}
+ does the same as |anchor=north west|.
+\end{itemize}
+
+
+\subsection{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
+transformed. Scaling text is evil, rotating slightly less so.
+
+However, sometimes you \emph{do} 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:
+
+\begin{enumerate}
+\item
+ You can use the following option:
+ \begin{itemize}
+ \itemoption{transform shape}
+ causes the current ``external'' transformation matrix to be
+ applied to the shape. For example, if you said
+ |\tikz[scale=3]| and then say |node[transform shape] {X}|, you
+ will get a ``huge'' X in your graphic.
+ \end{itemize}
+\item
+ You can give transformation option \emph{inside} the option list of
+ the node. \emph{These} transformations always apply to the node.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every node}=[draw]
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (1,0) node{A}
+ (2,0) node[rotate=90,scale=1.5] {B};
+ \draw[rotate=30] (1,0) node{A}
+ (2,0) node[rotate=90,scale=1.5] {B};
+ \draw[rotate=60] (1,0) node[transform shape] {A}
+ (2,0) node[transform shape,rotate=90,scale=1.5] {B};
+\end{tikzpicture}
+\end{codeexample}
+\end{enumerate}
+
+
+
+\subsection{Placing Nodes on a Line or Curve}
+
+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
+a line and we do not wish to compute these coordinates ``by hand.''
+To facilitate such placements, \tikzname\ allows you to specify that a
+certain node should be somewhere ``on'' a line. There are two ways of
+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}
+ \itemoption{pos}|=|\meta{fraction}
+ 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 \meta{fraction}
+ dictates how ``far'' on the line the point should be. A
+ \meta{fraction} or 0 is the previous coordinate, 1 is the current
+ one, everything else is in between. In particular, 0.5 is the
+ middle.
+
+ Now, what is ``the previous line''? This depends on the previous
+ path construction operation.
+
+ In the simplest case, the previous path operation was a ``line-to''
+ operation, that is, a |--|\meta{coordinate} operation:
+\begin{codeexample}[]
+\tikz \draw (0,0) -- (3,1)
+ node[pos=0]{0} node[pos=0.5]{1/2} node[pos=0.9]{9/10};
+\end{codeexample}
+
+ The next case is the curve-to operation (the |..| operation). In this
+ case, the ``middle'' of the curve, that is, the position |0.5| is
+ not necessarily the point at the exact half distance on the
+ line. Rather, it is some point at ``time'' 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 ``speed'' 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 Bézier curves if you are intrigued.
+\begin{codeexample}[]
+ \tikz \draw (0,0) .. controls +(right:3.5cm) and +(right:3.5cm) .. (0,3)
+ \foreach \p in {0,0.125,...,1} {node[pos=\p]{\p}};
+\end{codeexample}
+
+ Another interesting case are the horizontal/vertical line-to operations
+ \verb!|-! and \verb!-|!. For them, the position (or time) |0.5| is
+ exactly the corner point.
+
+\begin{codeexample}[]
+\tikz \draw (0,0) |- (3,1)
+ node[pos=0]{0} node[pos=0.5]{1/2} node[pos=0.9]{9/10};
+\end{codeexample}
+
+\begin{codeexample}[]
+\tikz \draw (0,0) -| (3,1)
+ node[pos=0]{0} node[pos=0.5]{1/2} node[pos=0.9]{9/10};
+\end{codeexample}
+
+ 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{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]|.
+\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}};
+\end{codeexample}
+\begin{codeexample}[]
+\begin{tikzpicture}[->]
+ \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}
+
+
+There exist styles for specifying positions a bit less ``technically'':
+\begin{itemize}
+ \itemstyle{midway}
+ is set to |pos=0.5|.
+\begin{codeexample}[]
+\tikz \draw (0,0) .. controls +(up:2cm) and +(left:3cm) .. (1,5)
+ node[at end] {|at end|}
+ node[very near end] {|very near end|}
+ node[near end] {|near end|}
+ node[midway] {|midway|}
+ node[near start] {|near start|}
+ node[very near start] {|very near start|}
+ node[at start] {|at start|};
+\end{codeexample}
+ \itemstyle{near start}
+ is set to |pos=0.25|.
+ \itemstyle{near end}
+ is set to |pos=0.75|.
+ \itemstyle{very near start}
+ is set to |pos=0.125|.
+ \itemstyle{very near end}
+ is set to |pos=0.875|.
+ \itemstyle{at start}
+ is set to |pos=0|.
+ \itemstyle{at end}
+ is set to |pos=1|.
+\end{itemize}
+
+
+\subsubsection{Implicit Use of the Position Option}
+
+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
+``somewhere in the middle.'' This is, indeed, possible and you can
+write |(0,0) -- node{a} (1,1)| to place a node midway between |(0,0)| and
+|(1,1)|.
+
+What happens is the following: The syntax of the line-to path
+operation is actually |--|
+\opt{|node|\meta{node specification}}\meta{coordinate}. (It is even
+possible to give multiple nodes in this way.) When the optional
+|node| is encountered, that is,
+when the |--| is directly followed by |node|, then the
+specification(s) are read and ``stored away.'' Then, after the
+\meta{coordinate} has finally been reached, they are inserted again,
+but with the |pos| option set.
+
+There are two things to note about this: When a node specification is
+``stored,'' 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 |pos| option.
+
+Second, which |pos| 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
+|[near end]| to a scope, this does not mean that \emph{all} nodes given
+in this scope will be put on near the end of lines. Only the nodes
+for which an implicit |pos| is added will be placed near the
+end. Typically, this is what you want. Here are some examples that
+should make this clearer:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[near end]
+ \draw (0cm,4em) -- (3cm,4em) node{A};
+ \draw (0cm,3em) -- node{B} (3cm,3em);
+ \draw (0cm,2em) -- node[midway] {C} (3cm,2em);
+ \draw (0cm,1em) -- (3cm,1em) node[midway] {D} ;
+\end{tikzpicture}
+\end{codeexample}
+
+Like the line-to operation, the curve-to operation |..| also allows you to
+specify nodes ``inside'' the operation. After both the first |..| and
+also after the second |..| you can place node specifications. Like for
+the |--| operation, these will be collected and then reinserted after
+the operation with the |pos| option set.
+
+
+\subsection{Connecting Nodes}
+
+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~\ref{section-node-coordinates}. Suppose you have said
+|\path(0,0) node(x) {Hello World!};| in order to define a node named |x|.
+\begin{enumerate}
+\item
+ Once the node |x| has been defined, you can use
+ |(x.|\meta{anchor}|)| wherever you would normally use a normal
+ coordinate. This will yield the position at which the given
+ \meta{anchor} is in the picture. Note that transformations do not
+ apply to this coordinate, that is, |(x.north)| will be the northern
+ anchor of |x| even if you have said |scale=3| or |xshift=4cm|. This
+ is usually what you would expect.
+\item
+ You can also just use |(x)| as a coordinate. In most cases, this
+ gives the same coordinate as |(x.center)|. Indeed, if the |shape| of
+ |x| is |coordinate|, then |(x)| and |(x.center)| have exactly the
+ same effect.
+
+ However, for most other shapes, some path construction operations like
+ |--| try to be ``clever'' when this they are asked to draw a line
+ from such a coordinate or to such a coordinate. When you say
+ |(x)--(1,1)|, the |--| path operation will not draw a line from the center
+ of |x|, but \emph{from the border} of |x| in the direction going
+ towards |(1,1)|. Likewise, |(1,1)--(x)| will also have the line
+ end on the border in the direction coming from |(1,1)|.
+
+ In addition to |--|, the curve-to path operation |..| and the path
+ operations \verb!-|! and \verb!|-! will also handle nodes without
+ anchors correctly. Here is an example, see also
+ Section~\ref{section-node-coordinates}:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \path (0,0) node (x) {Hello World!}
+ (3,1) node[circle,draw](y) {$\int_1^2 x \mathrm d x$};
+
+ \draw[->,blue] (x) -- (y);
+ \draw[->,red] (x) -| node[near start,below] {label} (y);
+ \draw[->,orange] (x) .. controls +(up:1cm) and +(left:1cm) .. node[above,sloped] {label} (y);
+\end{tikzpicture}
+\end{codeexample}
+\end{enumerate}
+
+
+
+
+
+\subsection{Predefined Shapes}
+\label{section-the-shapes}
+
+\pgfname\ and \tikzname\ define three shapes, by default:
+\begin{itemize}
+\item
+ |rectangle|,
+\item
+ |circle|, and
+\item
+ |coordinate|.
+\end{itemize}
+By loading library packages, you can define more shapes. Currently,
+the package |pgflibraryshapes| defines
+\begin{itemize}
+\item
+ |ellipse|.
+\end{itemize}
+
+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:
+\begin{itemize}
+ \itemoption{inner sep}|=|\meta{dimension}
+ An additional (invisible) separation space of \meta{dimension} will
+ be added inside the shape, between the text and the shape'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 ``larger.'' The default |inner sep| is the size of
+ a normal space.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) node[inner sep=0pt,draw] {tight}
+ (0cm,2em) node[inner sep=5pt,draw] {loose}
+ (0cm,4em) node[fill=examplefill] {default};
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{inner xsep}|=|\meta{dimension}
+ Specifies the inner separation in the $x$-direction, only.
+ \itemoption{inner ysep}|=|\meta{dimension}
+ Specifies the inner separation in the $y$-direction, only.
+
+ \itemoption{outer sep}|=|\meta{dimension}
+ This option adds an additional (invisible) separation space of
+ \meta{dimension} outside the background path. The main effect of
+ this option is that all anchors will move a little ``to the
+ outside.''
+
+ 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 ``outside border'' 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 |outer sep| should be set to zero
+ point.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[line width=5pt]
+ (0,0) node[outer sep=0pt,fill=examplefill] (f) {filled}
+ (2,0) node[inner sep=.5\pgflinewidth+2pt,draw] (d) {drawn};
+
+ \draw[->] (1,-1) -- (f);
+ \draw[->] (1,-1) -- (d);
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{outer xsep}|=|\meta{dimension}
+ Specifies the outer separation in the $x$-direction, only.
+ \itemoption{outer ysep}|=|\meta{dimension}
+ Specifies the outer separation in the $y$-direction, only.
+
+ \itemoption{minimum height}|=|\meta{dimension}
+ This option ensures that the height of the shape (including the
+ inner, but ignoring the outer separation) will be at least
+ \meta{dimension}. Thus, if the text plus the inner separation is not
+ at least as large as \meta{dimension}, the shape will be enlarged
+ appropriately. However, if the text is already larger than
+ \meta{dimension}, the shape will not be shrunk.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) node[minimum height=1cm,draw] {1cm}
+ (2,0) node[minimum height=0cm,draw] {0cm};
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{minimum width}|=|\meta{dimension}
+ same as |minimum height|, only for the width.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) node[minimum height=2cm,minimum width=3cm,draw] {$3 \times 2$};
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{minimum size}|=|\meta{dimension}
+ sets both the minimum height and width at the same time.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) node[minimum size=2cm,draw] {square};
+ \draw (0,-2) node[minimum size=2cm,draw,circle] {circle};
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+\label{section-tikz-coordinate-shape}
+The |coordinate| shape is handled in a special way by \tikzname. When
+a node |x| whose shape is |coordinate| is used as a coordinate |(x)|,
+this has the same effect as if you had said |(x.center)|. None of the
+special ``line shortening rules'' 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:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{every node}=[draw]
+ \path[yshift=1.5cm,shape=rectangle]
+ (0,0) node(a1){} (1,0) node(a2){}
+ (1,1) node(a3){} (0,1) node(a4){};
+ \filldraw[fill=examplefill] (a1) -- (a2) -- (a3) -- (a4);
+
+ \path[shape=coordinate]
+ (0,0) coordinate(b1) (1,0) coordinate(b2)
+ (1,1) coordinate(b3) (0,1) coordinate(b4);
+ \filldraw[fill=examplefill] (b1) -- (b2) -- (b3) -- (b4);
+\end{tikzpicture}
+\end{codeexample}
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual"
+%%% End:
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
new file mode 100644
index 00000000000..874d1682df9
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-transformations.tex
@@ -0,0 +1,337 @@
+% 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{Transformations}
+
+\pgfname\ has a powerful transformation mechanism that is similar to
+the transformation capabilities of \textsc{metafont}. The present
+section explains how you can access it in \tikzname.
+
+
+\subsection{The Different Coordinate Systems}
+
+It is a long process from a coordinate like, say, $(1,2)$ or
+$(1\mathrm{cm},5\,mathrm{pt})$, 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 ``transformed,'' which means that it is
+mostly shifted around and possibly rotated, slanted, scaled, and
+otherwise mutilated.
+
+In detail, (at least) the following transformations are applied to a
+coordinate like $(1,2)$ before a point on the screen is chosen:
+\begin{enumerate}
+\item
+ \pgfname\ interprets a coordinate like $(1,2)$ in its
+ $xy$-coordinate system as ``add the current $x$-vector once and the
+ current $y$-vector twice to obtain the new point.''
+\item
+ \pgfname\ applies its coordinate transformation matrix to the
+ resulting coordinate. This yields the final position of the point
+ inside the picture.
+\item
+ The backend driver (like |dvips| or |pdftex|) adds transformation
+ commands such the coordinate is shifted to the correct position in
+ \TeX's page coordinate system.
+\item
+ \textsc{pdf} (or PostScript) apply the canvas transformation
+ matrix to the point, which can once more change the position on the
+ page.
+\item
+ 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.
+\end{enumerate}
+
+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.
+
+In \tikzname, you only have access to the first two coordinate systems:
+The $xy$-coordinate system and the coordinate transformation matrix
+(these will be explained later). \pgfname\ 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 ``better know what you are
+doing'' when you do this. The moment you start modifying the
+canvas matrix, \pgfname\ immediately looses track of all
+coordinates and shapes, anchors, and bounding box computations will no
+longer work.
+
+
+\subsection{The Xy- and Xyz-Coordinate Systems}
+
+The first and easiest coordinate systems are \pgfname's $xy$- and
+$xyz$-coordinate systems. The idea is very simple: Whenever you
+specify a coordinate like |(2,3)| this means $2v_x + 3v_y$, where
+$v_x$ is the current \emph{$x$-vector} and $v_y$ is the current
+\emph{$y$-vector}. Similarly, the coordinate |(1,2,3)| means $v_x +
+2v_y + 3v_z$.
+
+Unlike other packages, \pgfname\ does not insist that $v_x$ actually
+has a $y$-component of $0$, that is, that it is a horizontal
+vector. Instead, the $x$-vector can point anywhere you
+want. Naturally, \emph{normally} you will want the $x$-vector to point
+horizontally.
+
+One undesirable effect of this flexibility is that it is not possible
+to provide mixed coordinates as in $(1,2\mathrm{pt})$. Life is hard.
+
+To change the $x$-, $y$-, and $z$-vectors, you can use the following
+options:
+
+\begin{itemize}
+\itemoption{x}|=|\meta{dimension}
+ Sets the $x$-vector of \pgfname's $xyz$-coordinate system to point
+ \meta{dimension} to the right, that is, to
+ $(\meta{dimension},0pt)$. The default is 1cm.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) -- +(1,0);
+ \draw[x=2cm,color=red] (0,0.1) -- +(1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\tikz \draw[x=1.5cm] (0,0) grid (2,2);
+\end{codeexample}
+
+The last example shows that the size of steppings in grids, just like
+all other dimensions, are not affected by the $x$-vector. After all,
+the $x$-vector is only used to determine the coordinate of the upper
+right corner of the grid.
+\itemoption{x}|=|\meta{coordinate}
+ Sets the $x$-vector of \pgfname's $xyz$-coordinate system to the
+ specified \meta{coordinate}. If \meta{coordinate} contains a comma,
+ it must be put in braces.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) -- (1,0);
+ \draw[x={(2cm,0.5cm)},color=red] (0,0) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ You can use this, for example, to exchange the meaning of the $x$- and
+ $y$-coordinate.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[smooth]
+ \draw plot coordinates{(1,0) (2,0.5) (3,0) (3,1)};
+ \draw[x={(0cm,1cm)},y={(1cm,0cm)},color=red]
+ plot coordinates{(1,0) (2,0.5) (3,0) (3,1)};
+\end{tikzpicture}
+\end{codeexample}
+
+\itemoption{y}|=|\meta{value}
+ Works like the |x=| option, only if \meta{value} is a dimension, the
+ resulting vector points to $(0,\meta{value})$.
+\itemoption{z}|=|\meta{value}
+ Works like the |z=| option, but now a dimension is means the point
+ $(\meta{value},\meta{value})$.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[z=-1cm,->,thick]
+ \draw[color=red] (0,0,0) -- (1,0,0);
+ \draw[color=blue] (0,0,0) -- (0,1,0);
+ \draw[color=orange] (0,0,0) -- (0,0,1);
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+
+\subsection{Coordinate Transformations}
+
+\pgfname\ and \tikzname\ allow you to specify \emph{coordinate
+ transformations}. Whenever you specify a coordinate as in |(1,0)| or
+|(1cm,1pt)| or |(30:2cm)|, this coordinate is first
+``reduced'' to a position of the form ``$x$ points to the right and
+ $y$ points upwards.'' For example, |(1in,5pt)| is reduced to
+``$72\frac{72}{100}$ points to the right and 5 points upwards'' and
+|(90:100pt)| means ``0pt to the right and 100 points upwards.''
+
+The next step is to apply the current \emph{coordinate transformation
+ matrix} to the coordinate. For example, the coordinate
+transformation matrix might currently be set such that it adds a
+certain constant to the $x$ value. Also, it might be setup such that
+it, say, exchanges the $x$ and $y$ value. In general, any
+``standard'' transformation like translation, rotation, slanting, or
+scaling or any combination thereof is possible. (Internally, \pgfname\
+keeps track of a coordinate transformation matrix very much like the
+concatenation matrix used by \textsc{pdf} or PostScript.)
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0,0) rectangle (1,0.5);
+ \begin{scope}[xshift=1cm]
+ \draw [red] (0,0) rectangle (1,0.5);
+ \draw[yshift=1cm] [blue] (0,0) rectangle (1,0.5);
+ \draw[rotate=30] [orange] (0,0) rectangle (1,0.5);
+ \end{scope}
+\end{tikzpicture}
+\end{codeexample}
+
+The most important aspect of the coordinate transformation matrix is
+\emph{that it applies to coordinates only!} 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
+\emph{should} 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
+``If there is no `coordinate' involved, even `indirectly,' the matrix
+is not applied.'' However, sometimes, you simply have to try or look
+it up in the documentation whether the matrix will be applied.
+
+Setting the matrix cannot be done directly. Rather, all you can do is
+to ``add'' another transformation to the current matrix. However, all
+transformations are local to the current \TeX-group. All
+transformations are added using graphic options, which are described
+below.
+
+Transformations apply immediately when they are encountered ``in the
+middle of a path'' and they apply only to the coordinates on the path
+following the transformation option.
+
+\begin{codeexample}[]
+\tikz \draw (0,0) rectangle (1,0.5) [xshift=2cm] (0,0) rectangle (1,0.5);
+\end{codeexample}
+
+A final word of warning: You should refrain from using ``aggressive''
+transformations like a scaling of a factor of 10000. The reason is
+that all transformations are done using \TeX, which has a fairly low
+accuracy. Furthermore, in certain situations it is necessary that
+\tikzname\ \emph{inverts} 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).
+
+\begin{itemize}
+ \itemoption{shift}|={|\meta{coordinate}|}|
+ adds the \meta{coordinate} to all coordinates.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (1,1) -- (1,0);
+ \draw[shift={(1,1)},blue] (0,0) -- (1,1) -- (1,0);
+ \draw[shift={(30:1cm)},red] (0,0) -- (1,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{xshift}|=|\meta{dimension}
+ adds \meta{dimension} to the $x$ value of all coordinates.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (1,1) -- (1,0);
+ \draw[xshift=2cm,blue] (0,0) -- (1,1) -- (1,0);
+ \draw[xshift=-10pt,red] (0,0) -- (1,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{yshift}|=|\meta{dimension}
+ adds \meta{dimension} to the $y$ value of all coordinates.
+
+ \itemoption{scale}|=|\meta{factor}
+ multiplies all coordinates by the given \meta{factor}. The
+ \meta{factor} should not be excessively large in absolute terms or
+ very near to zero.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (1,1) -- (1,0);
+ \draw[scale=2,blue] (0,0) -- (1,1) -- (1,0);
+ \draw[scale=-1,red] (0,0) -- (1,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{xscale}|=|\meta{factor}
+ multiplies only the $x$-value of all coordinates by the given
+ \meta{factor}.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (1,1) -- (1,0);
+ \draw[xscale=2,blue] (0,0) -- (1,1) -- (1,0);
+ \draw[xscale=-1,red] (0,0) -- (1,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{yscale}|=|\meta{factor}
+ multiplies only the $y$-value of all coordinates by \meta{factor}.
+
+ \itemoption{xslant}|=|\meta{factor}
+ slants the coordinate horizontally by the given \meta{factor}:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (1,1) -- (1,0);
+ \draw[xslant=2,blue] (0,0) -- (1,1) -- (1,0);
+ \draw[xslant=-1,red] (0,0) -- (1,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{yslant}|=|\meta{factor}
+ slants the coordinate vertically by the given \meta{factor}:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (1,1) -- (1,0);
+ \draw[yslant=2,blue] (0,0) -- (1,1) -- (1,0);
+ \draw[yslant=-1,red] (0,0) -- (1,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{rotate}|=|\meta{degree}
+ rotates the coordinate system by \meta{degree}:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (1,1) -- (1,0);
+ \draw[rotate=40,blue] (0,0) -- (1,1) -- (1,0);
+ \draw[rotate=-20,red] (0,0) -- (1,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{rotate around}|={|\meta{degree}|:|\meta{coordinate}|}|
+ rotates the coordinate system by \meta{degree} around the point
+ \meta{coordinate}.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (1,1) -- (1,0);
+ \draw[rotate around={40:(1,1)},blue] (0,0) -- (1,1) -- (1,0);
+ \draw[rotate around={-20:(1,1)},red] (0,0) -- (1,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{cm}|={|\meta{$a$}|,|\meta{$b$}|,|\meta{$c$}|,|\meta{$d$}|,|\meta{coordinate}|}|
+ applies the following transformation to all coordinates: Let $(x,y)$
+ be the coordinate to be transformed and let \meta{coordinate}
+ specify the point $(t_x,t_y)$. Then the new coordinate is given by
+ $\left(\begin{smallmatrix} a & b \\ c & d\end{smallmatrix}\right)
+ \left(\begin{smallmatrix} x \\ y \end{smallmatrix}\right) +
+ \left(\begin{smallmatrix} t_x \\ t_y
+ \end{smallmatrix}\right)$. Usually, you do not use this option
+ directly.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[style=help lines] (0,0) grid (3,2);
+ \draw (0,0) -- (1,1) -- (1,0);
+ \draw[cm={1,1,0,1,(0,0)},blue] (0,0) -- (1,1) -- (1,0);
+ \draw[cm={0,1,1,0,(1cm,1cm)},red] (0,0) -- (1,1) -- (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{reset cm}
+ 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.
+\end{itemize}
+
+
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
new file mode 100644
index 00000000000..fb53ead11d1
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-tikz-trees.tex
@@ -0,0 +1,745 @@
+% 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.
+
+
+\section{Making Trees Grow}
+
+\label{section-trees}
+
+
+\subsection{Introduction to the Child Operation}
+
+\emph{Trees} are a common way of visualizing hierarchical
+structures. A simple tree looks like this:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node {root}
+ child {node {left}}
+ child {node {right}
+ child {node {child}}
+ child {node {child}}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+Admittedly, in reality trees are more likely to grow \emph{upward} 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's trees will grow downward
+while a mathematician's tree will grow upward. Naturally, the
+\emph{correct} way is the mathematician's way, which can be specify as
+follows:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node {root} [grow'=up]
+ child {node {left}}
+ child {node {right}
+ child {node {child}}
+ child {node {child}}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+In \tikzname, trees are specified by adding \emph{children} to a
+node on a path using the |child| operation:
+
+\begin{pathoperation}{child}{\opt{\oarg{options}}%
+ \opt{|foreach|\meta{variables}|in|\marg{values}}\opt{\marg{child path}}}
+ This operation should directly follow a completed |node| operation
+ or another |child| operation, although it is permissible that the
+ first |child| operation is preceded by options (we will come to
+ that).
+
+ When a |node| operation like |node {X}| is followed by |child|,
+ \tikzname\ starts counting the number of child nodes that follow the
+ original |node {X}|. For this, it scans the input and stores away each
+ |child| and its arguments until it reaches a path operation that is
+ not a |child|. 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 |child|. Sorry.
+
+ Once the children have been collected and counted, \tikzname\ starts
+ generating the child nodes. For each child of a parent node
+ \tikzname\ 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 \meta{child path} is
+ drawn. Typically, the child path just consists of a |node|
+ specification, which results in a node being drawn at the child's
+ position. Finally, an edge is drawn from the first node in the
+ \meta{child path} to the parent node.
+
+ The optional |foreach| part (note that there is no backslash before
+ |foreach|) allows you to specify multiple children in a single
+ |child| command. The idea is the following: A |\foreach| statement
+ is (internally) used to iterate over the list of \meta{values}. For
+ each value in this list, a new |child| is added to the node. The
+ syntax for \meta{variables} and for \meta{values} is the same as for
+ the |\foreach| statement, see Section~\ref{section-foreach}. For
+ example, when you say
+\begin{codeexample}[code only]
+node {root} child [red] foreach \name in {1,2} {node {\name}}
+\end{codeexample}
+ the effect will be the same as if you had said
+\begin{codeexample}[code only]
+node {root} child[red] {node {1}} child[ref] {node {2}}
+\end{codeexample}
+ When you write
+\begin{codeexample}[code only]
+node {root} child[\pos] foreach \name/\pos in {1/left,2/right} {node[\pos] {\name}}
+\end{codeexample}
+ the effect will be the same as for
+\begin{codeexample}[code only]
+node {root} child[left] {node[left] {1}} child[right] {node[right] {2}}
+\end{codeexample}
+
+ You can nest things as in the following example:
+\begin{codeexample}[]
+\begin{tikzpicture}[level distance=4mm]
+ \tikzstyle{level 1}=[sibling distance=8mm]
+ \tikzstyle{level 2}=[sibling distance=4mm]
+ \tikzstyle{level 3}=[sibling distance=2mm]
+ \coordinate
+ child foreach \x in {0,1}
+ {child foreach \y in {0,1}
+ {child foreach \z in {0,1}}};
+\end{tikzpicture}
+\end{codeexample}
+
+ The details and options for this operation are described in the rest
+ of this present section.
+\end{pathoperation}
+
+
+
+\subsection{Child Paths and the Child Nodes}
+
+For each |child| of a root node, its \meta{child path} is inserted at
+a specific location in the picture (the placement rules are discussed
+in Section~\ref{section-tree-placement}). The first node in the
+\meta{child path}, if it exists, is special and called the \emph{child
+ node}. If there is no first node in the \meta{child path}, that is,
+if the \meta{child path} is missing (including the curly braces) or if
+it does not start with |node| or with |coordinate|, then an empty
+child node of shape |coordinate| is automatically added.
+
+Consider the example |\node {x} child {node {y}} child;|. For the
+first child, the \meta{child path} has the child node |node {y}|. For
+the second child, no child node is specified and, thus, it is just
+|coordinate|.
+
+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.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[rectangle,draw] {root}
+ child {node[circle,draw] (left node) {left}}
+ child {node[ellipse,draw] (right node) {right}};
+ \draw[dashed,->] (left node) -- (right node);
+\end{tikzpicture}
+\end{codeexample}
+
+In many cases, the \meta{child path} 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's coordinate system. For your convenience, a move-to |(0,0)|
+operation is inserted automatically at the beginning of the path. Here
+is an example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node {root}
+ child {[fill] circle (2pt)}
+ child {[fill] circle (2pt)};
+\end{tikzpicture}
+\end{codeexample}
+
+
+At the end of the \meta{child path} you may add a special path
+operation called |edge from parent|. 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 |edge from parent| operation will be placed on this
+edge, see Section~\ref{section-edge-from-parent} for details.
+
+To sum up:
+\begin{enumerate}
+\item
+ The child path starts with a node specification. If it is not there,
+ it is added automatically.
+\item
+ The child path ends with a |edge from parent| operation, possibly
+ followed by nodes to be put on this edge. If the operation is not
+ given at the end, it is added automatically.
+\end{enumerate}
+
+
+
+\subsection{Naming Child Nodes}
+
+Child nodes can be named like any other node using either the |name|
+option or the special syntax in which the name of the node is placed
+in round parentheses between the |node| operation and the node's
+text.
+
+If you do not assign a name to a child node, \tikzname\ will
+automatically assign a name as follows: Assume that the name of the
+parent node is, say, |parent|. (If you did not assign a
+name to the parent, \tikzname\ will do so itself, but that name will
+not be user-accessible.) The first child
+of |parent| will be named |parent-1|, the second child is named
+|parent-2|, and so on.
+
+This naming convention works recursively. If the second child
+|parent-2| has children, then the first of these children will be
+called |parent-2-1| and the second |parent-2-2| and so on.
+
+If you assign a name to a child node yourself, no name is generated
+automatically (the node does not have two names). However, ``counting
+continues,'' which means that the third child of |parent| is called
+|parent-3| independently of whether you have assigned names to the
+first and/or second child of |parent|.
+
+Here is an example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node (root) {root}
+ child
+ child {
+ child {coordinate (special)}
+ child
+ };
+ \node at (root-1) {root-1};
+ \node at (root-2) {root-2};
+ \node at (special) {special};
+ \node at (root-2-2) {root-2-2};
+\end{tikzpicture}
+\end{codeexample}
+
+\subsection{Specifying Options for Trees and Children}
+
+Each |child| may have its own \meta{options}, which apply to ``the
+whole child,'' including all of its grandchildren. Here is an
+example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[thick]
+ \tikzstyle{level 2}=[sibling distance=10mm]
+ \coordinate
+ child[red] {child child}
+ child[green] {child child[blue]};
+\end{tikzpicture}
+\end{codeexample}
+
+The options of the root node have no effect on the children since
+the options of a node are always ``local'' to that node. Because of
+this, the edges in the following tree are black, not red.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[thick]
+ \node [red] {root}
+ child
+ child;
+\end{tikzpicture}
+\end{codeexample}
+ This raises the problem of how to set options for \emph{all}
+ children. Naturally, you could always set options for the whole path
+ as in |\path [red] node {root} child child;| but this is bothersome
+ in some situations. Instead, it is easier to give the options
+ \emph{before the first child} as follows:
+\begin{codeexample}[]
+\begin{tikzpicture}[thick]
+ \node [red] {root}
+ [green] % option applies to all children
+ child
+ child;
+\end{tikzpicture}
+\end{codeexample}
+
+Here is the set of rules:
+\begin{enumerate}
+\item
+ Options for the whole tree are given before the root node.
+\item
+ Options for the root node are given directly to the |node| operation
+ of the root.
+\item
+ Options for all children can be given between the root node and the
+ first child.
+\item
+ Options applying to a specific child path are given as options to
+ the |child| operation.
+\item
+ Options applying to the node of a child, but not to the whole child
+ path, are given as options to the |node| command inside the
+ \meta{child path}.
+\end{enumerate}
+
+\begin{codeexample}[code only]
+\begin{tikzpicture}
+ \path
+ [...] % Options apply to the whole tree
+ node[...] {root} % Options apply to the root node only
+ [...] % Options apply to all children
+ child[...] % Options apply to this child and all its children
+ {
+ node[...] {} % Options apply to the child node only
+ ...
+ }
+ child[...] % Options apply to this child and all its children
+ ;
+\end{tikzpicture}
+\end{codeexample}
+
+There are additional styles that influence how children are rendered:
+\begin{itemize}
+ \itemstyle{every child}
+ This style is used at the beginning of each child, as if you had
+ given the options to the |child| operation.
+ \itemstyle{every child node}
+ This style is used at the beginning of each child node in addition
+ to the |every node| style.
+ \itemstyle{level \meta{number}}
+ This style is used at the beginning of each set of children, where
+ \meta{number} is the current level in the current tree. For example,
+ when you say |\node {x} child child;|, then the style |level 1| is
+ used before the first |child|. If this first |child| has children
+ itself, then |level 2| would be used for them.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{level 1}=[sibling distance=20mm]
+ \tikzstyle{level 2}=[sibling distance=5mm]
+ \node {root}
+ child { child child }
+ child { child child child };
+\end{tikzpicture}
+\end{codeexample}
+\end{itemize}
+
+
+
+
+\subsection{Placing Child Nodes}
+
+\label{section-tree-placement}
+
+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.
+
+In \tikzname, a comparatively simple approach is taken to placing the
+children. In order to compute a child'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 \emph{do not
+ depend on the size of the children} 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.
+
+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
+|sibling distance|) 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 ``growth function'' to arrange children on a
+circle or along special lines or curves.
+
+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 |sibling distance|. The line is
+orthogonal to the current \emph{direction of growth}, which is set
+with the |grow| and |grow'| option (the latter option reverses the
+ordering of the children). The distance from the line to the parent node
+is given by the |level distance|.
+
+{\catcode`\|=12
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \path [help lines]
+ node (root) {root}
+ [grow=-10]
+ child {node {1}}
+ child {node {2}}
+ child {node {3}}
+ child {node {4}};
+
+ \draw[|<->|,thick] (root-1.center)
+ -- node[above,sloped] {sibling distance} (root-2.center);
+
+ \draw[|<->|,thick] (root.center)
+ -- node[above,sloped] {level distance} +(-10:\tikzleveldistance);
+\end{tikzpicture}
+\end{codeexample}
+}
+
+Here is a detailed description of the options:
+\begin{itemize}
+ \itemoption{level distance}|=|\meta{distance}
+ 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.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node {root}
+ [level distance=20mm]
+ child
+ child {
+ [level distance=5mm]
+ child
+ child
+ child
+ }
+ child[level distance=10mm];
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{level 1}=[level distance=10mm]
+ \tikzstyle{level 2}=[level distance=5mm]
+ \node {root}
+ child
+ child {
+ child
+ child[level distance=10mm]
+ child
+ }
+ child;
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{sibling distance}|=|\meta{distance}
+ This option specifies the distance between the anchors of the
+ children of a parent node.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[level distance=4mm]
+ \tikzstyle{level 1}=[sibling distance=8mm]
+ \tikzstyle{level 2}=[sibling distance=4mm]
+ \tikzstyle{level 3}=[sibling distance=2mm]
+ \coordinate
+ child {
+ child {child child}
+ child {child child}
+ }
+ child {
+ child {child child}
+ child {child child}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}[level distance=10mm]
+ \tikzstyle{every node}=[fill=red!60,circle,inner sep=1pt]
+ \tikzstyle{level 1}=[sibling distance=20mm,
+ set style={{every node}+=[fill=red!45]}]
+ \tikzstyle{level 2}=[sibling distance=10mm,
+ set style={{every node}+=[fill=red!30]}]
+ \tikzstyle{level 3}=[sibling distance=5mm,
+ set style={{every node}+=[fill=red!15]}]
+ \node {31}
+ child {node {30}
+ child {node {20}
+ child {node {5}}
+ child {node {4}}
+ }
+ child {node {10}
+ child {node {9}}
+ child {node {1}}
+ }
+ }
+ child {node {20}
+ child {node {19}
+ child {node {1}}
+ child[fill=none] {edge from parent[draw=none]}
+ }
+ child {node {18}}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{grow}|=|\meta{direction}
+ This option is used to define the \meta{direction} in which the tree
+ will grow. The \meta{direction} can either be an angle in degrees or
+ one of the following special text strings: |down|, |up|, |left|,
+ |right|, |north|, |south|, |east|, |west|, |north east|,
+ |north west|, |south east|, and |south west|. All of these have
+ ``their obvious meaning,'' so, say, |south west| is the same as the
+ angle $-135^\circ$.
+
+ As a side effect, this option installs the default growth function.
+
+ In addition to setting the direction, this option also has a
+ seemingly strange effect: It sets the sibling distance for the
+ current level to |0pt|, but leaves the sibling distance for later
+ levels unchanged.
+
+ This somewhat strange behaviour has a highly desirable effect: If
+ you give this option before the list of children of a node starts,
+ the ``current level'' 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 \meta{direction}. However,
+ if you give this option locally to a single child, then ``current
+ level'' will be the same as the child's level. The zero sibling
+ distance will then cause the child to be placed exactly at a point
+ at distance |level distance| in the direction
+ \meta{direction}. However, the children of the child will be placed
+ ``normally'' on a line orthogonal to the \meta{direction}.
+
+ These placement effects are best demonstrated by some examples:
+\begin{codeexample}[]
+\tikz \node {root} [grow=right] child child;
+\end{codeexample}
+
+\begin{codeexample}[]
+\tikz \node {root} [grow=south west] child child;
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}[level distance=10mm,sibling distance=5mm]
+ \node {root}
+ [grow=down]
+ child
+ child
+ child[grow=right] {
+ child child child
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}[level distance=2em]
+ \node {C}
+ child[grow=up] {node {H}}
+ child[grow=left] {node {H}}
+ child[grow=down] {node {H}}
+ child[grow=right] {node {C}
+ child[grow=up] {node {H}}
+ child[grow=right] {node {H}}
+ child[grow=down] {node {H}}
+ edge from parent[double]
+ coordinate (wrong)
+ };
+ \draw[<-,red] ([yshift=-2mm]wrong) -- +(0,-1)
+ node[below]{This is wrong!};
+\end{tikzpicture}
+\end{codeexample}
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node[rectangle,draw] (a) at (0,0) {start node};
+ \node[rectangle,draw] (b) at (2,1) {end};
+
+ \draw (a) -- (b)
+ node[coordinate,midway] {}
+ child[grow=100,<-] {node[above] {the middle is here}};
+\end{tikzpicture}
+\end{codeexample}
+
+ \itemoption{grow'}|=|\meta{direction}
+ This option has the same effect as |grow|, only the children are
+ arranged in the opposite order.
+ \itemoption{growth function}|=|\meta{macro name}
+ This rather low-level option allows you to set a new growth
+ function. The \meta{macro name} must be the name of a macro without
+ parameters. This macro will be called for each child of a node.
+
+ 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 \meta{macro name} must essentially do a shift to the
+ child's origin. When the macro is called, the \TeX\ counter
+ |\tikznumberofchildren| will be set to the total number of children
+ of the parent node and the counter |\tikznumberofcurrentchild| will
+ be set to the number of the current child.
+
+ The macro may, in addition to shifting the coordinate system, also
+ transform the coordinate system further. For example, it could be
+ rotated or scaled.
+
+ Additional growth functions are defined in the library, see
+ Section~\ref{section-tree-library}.
+\end{itemize}
+
+
+
+\subsection{Edges From the Parent Node}
+
+\label{section-edge-from-parent}
+
+Every child node is connected to its parent node via a special kind of
+edge called the |edge from parent|. This edge is added to the
+\meta{child path} when the following path operation is encountered:
+
+\begin{pathoperation}{edge from parent}{\opt{\oarg{options}}}
+ This path operation can only be used inside \meta{child paths} and
+ should be given at the end, possibly followed by node specifications
+ (we will come to that). If a \meta{child path} does not contain this
+ operation, it will be added at the end of the \meta{child path}
+ automatically.
+
+ This operation has several effects. The most important is that it
+ inserts the current ``edge from parent path'' into the child
+ path. The edge from parent path can be set using the following
+ option:
+ \begin{itemize}
+ \itemoption{edge from parent path}|=|\meta{path}
+ This options allows you to set the edge from parent path to a new
+ path. The default for this path is the following:
+ \begin{codeexample}[code only]
+(\tikzparentnode\tikzparentanchor) -- (\tikzchildnode\tikzchildanchor)
+ \end{codeexample}
+ The |\tikzparentnode| 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 |\tikzchildnode| is a macro that expands to the
+ name of the child node. The two |...anchor| macros are empty by
+ default. So, what is essentially inserted is just the path segment
+ |(\tikzparentnode) -- (\tikzchildnode)|; which is exactly an edge
+ from the parent to the child.
+
+ 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:
+\begin{codeexample}[]
+\begin{tikzpicture}[edge from parent path=
+ {(\tikzparentnode.south) .. controls +(0,-1) and +(0,1)
+ .. (\tikzchildnode.north)}]
+ \node {root}
+ child {node {left}}
+ child {node {right}
+ child {node {child}}
+ child {node {child}}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+ Further useful edge from parent paths are defined in the tree
+ library, see Section~\ref{section-tree-library}.
+
+ As said before, the anchors in the default edge from parent path
+ are empty. However, you can set them using the following options:
+ \begin{itemize}
+ \itemoption{child anchor}|=|\meta{anchor}
+ Specifies the anchor where the edge from parent meets the child
+ node by setting the macro |\tikzchildanchor| to
+ |.|\meta{anchor}.
+
+ If you specify |border| as the \meta{anchor}, then the macro
+ |\tikzchildanchor| 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.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node {root}
+ [child anchor=north]
+ child {node {left} edge from parent[dashed]}
+ child {node {right}
+ child {node {child}}
+ child {node {child} edge from parent[draw=none]}
+ };
+\end{tikzpicture}
+\end{codeexample}
+ \itemoption{parent anchor}|=|\meta{anchor}
+ This option works the same way as the |child anchor|, only for
+ the parent.
+ \end{itemize}
+ \end{itemize}
+
+ Besides inserting the edge from parent path, the |edge from parent|
+ operation has another effect: The \meta{options} are inserted
+ directly before the edge from parent path and the following style is
+ also installed prior to inserting the path:
+ \begin{itemize}
+ \itemstyle{edge from parent}
+ This style is inserted right before the edge from parent path and
+ before the \meta{options} are inserted. By default, it just draws
+ the edge from parent, but you can use it to make the edge look
+ different.
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \tikzstyle{edge from parent}=[draw,red,thick]
+ \node {root}
+ child {node {left} edge from parent[dashed]}
+ child {node {right}
+ child {node {child}}
+ child {node {child} edge from parent[draw=none]}
+ };
+\end{tikzpicture}
+\end{codeexample}
+ \end{itemize}
+
+ Note: The \meta{options} inserted before the edge from parent path
+ is added \emph{apply to the whole child path}. 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.
+
+ Finally, the |edge from parent| operation has one more effect: It
+ causes all nodes \emph{following} the operation to be placed on the
+ edge. This is the same effect as if you had added the |pos| option
+ to all these nodes, see also Section~\ref{section-pos-option}.
+
+ As an example, consider the following code:
+\begin{codeexample}[code only]
+\node (root) {} child {node (child) {} edge to parent node {label}};
+\end{codeexample}
+ The |edge to parent| operation and the following |node| operation
+ will, together, have the same effect as if we had said:
+\begin{codeexample}[code only]
+(root) -- (child) node [pos=0.5] {label}
+\end{codeexample}
+
+ Here is a more complicated example:
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \node {root}
+ child {
+ node {left}
+ edge from parent
+ node[left] {a}
+ node[right] {b}
+ }
+ child {
+ node {right}
+ child {
+ node {child}
+ edge from parent
+ node[left] {c}
+ }
+ child {node {child}}
+ edge from parent
+ node[near end] {x}
+ };
+\end{tikzpicture}
+\end{codeexample}
+
+\end{pathoperation}
+
+
+
+%%% Local Variables:
+%%% mode: latex
+%%% TeX-master: "pgfmanual-pdftex-version"
+%%% End:
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
new file mode 100644
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@@ -0,0 +1,1417 @@
+\section{Tutorial: A Picture for Karl's Students}
+
+This tutorial is intended for new users of \pgfname\ and \tikzname. It
+does not give an exhaustive account of all the features of \tikzname\ or
+\pgfname, just of those that you are likely to use right away.
+
+Karl is a math and chemistry high-school teacher. He used to create
+the graphics in his worksheets and exams using \LaTeX's |{picture}|
+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's exams too difficult no matter how nicely they were drawn. But
+Karl was never entirely satisfied with the result.
+
+Karl'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 \pgfname. Then it turns out that inside this
+package there is another package called \tikzname, which is supposed to
+stand for ``\tikzname\ ist \emph{kein} Zeichenprogramm.'' Karl finds this
+all a bit strange and \tikzname\ seems to indicate that the package
+does not do what he needs. However, having used \textsc{gnu}
+software for quite some time and ``\textsc{gnu} not being Unix,''
+there seems to be hope yet. His son assures him that \tikzname's name is
+intended to warn people that \tikzname\ is not a program that you can
+use to draw graphics with your mouse or tablet. Rather, it is more
+like a ``graphics language.''
+
+
+\subsection{Problem Statement}
+
+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):
+
+\noindent
+\begin{tikzpicture}[scale=3,cap=round]
+ % Local definitions
+ \def\costhirty{0.8660256}
+
+ % Colors
+ \colorlet{anglecolor}{green!50!black}
+ \colorlet{sincolor}{red}
+ \colorlet{tancolor}{orange!80!black}
+ \colorlet{coscolor}{blue}
+
+ % Styles
+ \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);
+
+ \draw (0,0) circle (1cm);
+
+ \begin{scope}[style=axes]
+ \draw[->] (-1.5,0) -- (1.5,0) node[right] {$x$};
+ \draw[->] (0,-1.5) -- (0,1.5) node[above] {$y$};
+
+ \foreach \x/\xtext in {-1, -.5/-\frac{1}{2}, 1}
+ \draw[xshift=\x cm] (0pt,1pt) -- (0pt,-1pt) node[below,fill=white] {$\xtext$};
+
+ \foreach \y/\ytext in {-1, -.5/-\frac{1}{2}, .5/\frac{1}{2}, 1}
+ \draw[yshift=\y cm] (1pt,0pt) -- (-1pt,0pt) node[left,fill=white] {$\ytext$};
+ \end{scope}
+
+ \filldraw[fill=green!20,draw=anglecolor] (0,0) -- (3mm,0pt) arc(0:30:3mm);
+ \draw (15:2mm) node[anglecolor] {$\alpha$};
+
+ \draw[style=important line,sincolor]
+ (30:1cm) -- node[left=1pt,fill=white] {$\sin \alpha$} +(0,-.5);
+
+ \draw[style=important line,coscolor]
+ (0,0) -- node[below=2pt,fill=white] {$\cos \alpha$} (\costhirty,0);
+
+ \draw[style=important line,tancolor] (1,0) --
+ node [right=1pt,fill=white]
+ {
+ $\displaystyle \tan \alpha \color{black}=
+ \frac{{\color{sincolor}\sin \alpha}}{\color{coscolor}\cos \alpha}$
+ } (intersection of 0,0--30:1cm and 1,0--1,1) coordinate (t);
+
+ \draw (0,0) -- (t);
+
+ \draw[xshift=1.85cm] node [right,text width=6cm,style=information text]
+ {
+ The {\color{anglecolor} angle $\alpha$} is $30^\circ$ in the
+ example ($\pi/6$ in radians). The {\color{sincolor}sine of
+ $\alpha$}, which is the height of the red line, is
+ \[
+ {\color{sincolor} \sin \alpha} = 1/2.
+ \]
+ By the Theorem of Pythagoras we have ${\color{coscolor}\cos^2 \alpha} +
+ {\color{sincolor}\sin^2\alpha} =1$. Thus the length of the blue
+ line, which is the {\color{coscolor}cosine of $\alpha$}, must be
+ \[
+ {\color{coscolor}\cos\alpha} = \sqrt{1 - 1/4} = \textstyle
+ \frac{1}{2} \sqrt 3.
+ \]%
+ This shows that {\color{tancolor}$\tan \alpha$}, which is the
+ height of the orange line, is
+ \[
+ {\color{tancolor}\tan\alpha} = \frac{{\color{sincolor}\sin
+ \alpha}}{\color{coscolor}\cos \alpha} = 1/\sqrt 3.
+ \]%
+ };
+\end{tikzpicture}
+
+
+\subsection{Setting up the Environment}
+
+In \tikzname, to draw a picture, at the start of the picture
+you need to tell \TeX\ or \LaTeX\ that you want to start a picture. In
+\LaTeX\ this is done using the environment |{tikzpicture}|, in plain
+\TeX\ you just use |\tikzpicture| to start the picture and
+|\endtikzpicture| to end it.
+
+\subsubsection{Setting up the Environment in \LaTeX}
+
+Karl, being a \LaTeX\ user, thus sets up his file as follows:
+
+\begin{codeexample}[code only]
+\documentclass{article} % say
+\usepackage{tikz}
+\begin{document}
+We are working on
+\begin{tikzpicture}
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+\end{tikzpicture}.
+\end{document}
+\end{codeexample}
+
+When executed, that is, run via |pdflatex| or via |latex| followed by
+|dvips|, the resulting will contain something that looks like this:
+
+\begin{codeexample}[width=7cm]
+We are working on
+\begin{tikzpicture}
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+\end{tikzpicture}.
+\end{codeexample}
+
+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.
+
+Let's have a more detailed look at the code. First, the package
+|tikz| is loaded. This package is a so-called ``frontend'' to the
+basic \pgfname\ 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.
+
+Inside the environment there are two |\draw| commands. They mean:
+``The path, which is specified following the command up to the
+semicolon, should be drawn.'' The first path is specified
+as |(-1.5,0) -- (0,1.5)|, which means ``a straight line from the point
+at position $(-1.5,0)$ to the point at position $(0,1.5)$.'' Here, the
+positions are specified within a special coordinate system in which,
+initially, one unit is 1cm.
+
+Karl is quite pleased to note that the environment automatically
+reserves enough space to encompass the picture.
+
+
+\subsubsection{Setting up the Environment in Plain \TeX}
+
+Karl's wife Gerda, who also happens to be a math teacher, is not a
+\LaTeX\ user, but uses plain \TeX\ since she prefers to do things
+``the old way.'' She can also use \tikzname. Instead of
+|\usepackage{tikz}| she has to write |\input tikz.tex| and instead of
+|\begin{tikzpicture}| she writes |\tikzpicture| and instead of
+ |\end{tikzpicture}| she writes |\endtikzpicture|.
+
+Thus, she would use:
+\begin{codeexample}[code only]
+%% Plain TeX file
+\input tikz.tex
+\baselineskip=12pt
+\hsize=6.3truein
+\vsize=8.7truein
+We are working on
+\tikzpicture
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+\endtikzpicture.
+\bye
+\end{codeexample}
+
+Gerda can typeset this file using either |pdftex| or |tex| together
+with |dvips|. \tikzname\ will automatically discern which driver she is
+using. If she wishes to use |dvipdfm| together with |tex|, she
+either needs to modify the file |pgf.cfg| or can write
+|\def\pgfsysdriver{pgfsys-dvipdfm.def}| somewhere \emph{before} she
+inputs |tikz.tex| or |pgf.tex|.
+
+
+
+
+\subsection{Straight Path Construction}
+
+The basic building block of all pictures in \tikzname\ is the path.
+A \emph{path} 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
+|(0,0)|. This is followed by a series of ``path extension
+operations.'' The simplest is |--|, 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:
+
+\begin{codeexample}[]
+\tikz \draw (-1.5,0) -- (1.5,0) -- (0,-1.5) -- (0,1.5);
+\end{codeexample}
+
+Karl is a bit confused by the fact that there is no |{tikzpicture}|
+environment, here. Instead, the little command |\tikz| is used. This
+command either takes one argument (starting with an opening brace as in
+|\tikz{\draw (0,0) -- (1.5,0)}|, which yields \tikz{\draw (0,0)
+ --(1.5,0);}) or collects everything up to the next semicolon and
+puts it inside a |{tikzpicture}| environment. As a rule of thumb, all
+\tikzname\ graphic drawing commands must occur as an argument of |\tikz|
+or inside a |{tikzpicture}| environment. Fortunately, the command
+|\draw| will only be defined inside this environment, so there is
+little chance that you will accidentally do something wrong here.
+
+
+
+\subsection{Curved Path Construction}
+
+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, \tikzname\ provides a special syntax. One or two
+``control points'' are needed. The math behind them is not quite
+trivial, but here is the basic idea: Suppose you are at point $x$ and
+the first control point is $y$. Then the curve will start ``going in
+the direction of~$y$ at~$x$,'' that is, the tangent of the curve at $x$
+will point toward~$y$. Next, suppose the curve should end at $z$ and
+the second support point is $w$. Then the curve will, indeed, end at
+$z$ and the tangent of the curve at point $z$ will go through $w$.
+
+Here is an example (the control points have been added for clarity):
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \filldraw [gray] (0,0) circle (2pt)
+ (1,1) circle (2pt)
+ (2,1) circle (2pt)
+ (2,0) circle (2pt);
+ \draw (0,0) .. controls (1,1) and (2,1) .. (2,0);
+\end{tikzpicture}
+\end{codeexample}
+
+The general syntax for extending a path in a ``curved'' way is
+|.. controls| \meta{first control point} |and| \meta{second control
+ point} |..| \meta{end point}. You can leave out the |and|
+\meta{second control point}, which causes the first one to be used
+twice.
+
+So, Karl can now add the first half circle to the picture:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (-1,0) .. controls (-1,0.555) and (-0.555,1) .. (0,1)
+ .. controls (0.555,1) and (1,0.555) .. (1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+Karl is happy with the result, but finds specifying circles in this
+way to be extremely awkward. Fortunately, there is a much simpler way.
+
+
+\subsection{Circle Path Construction}
+
+In order to draw a circle, the path construction operation |circle| 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
+\emph{center} of the circle.)
+
+\begin{codeexample}[]
+\tikz \draw (0,0) circle (10pt);
+\end{codeexample}
+
+You can also append an ellipse to the path using the |ellipse|
+operation. Instead of a single radius you can specify two of them, one
+for the $x$-direction and one for the $y$-direction, separated by
+|and|:
+
+\begin{codeexample}[]
+\tikz \draw (0,0) ellipse (20pt and 10pt);
+\end{codeexample}
+
+To draw an ellipse whose axes are not horizontal and vertical, but
+point in an arbitrary direction (a ``turned ellipse'' like \tikz
+\draw[rotate=30] (0,0) ellipse (6pt and 3pt);) you can use
+transformations, which are explained later. The code for the little
+ellipse is |\tikz \draw[rotate=30] (0,0) ellipse (6pt and 3pt);|, by
+the way.
+
+So, returning to Karl's problem, he can write
+|\draw (0,0) circle (1cm);| to draw the circle:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+\end{tikzpicture}
+\end{codeexample}
+
+
+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 \tikzname\ 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.
+
+
+
+
+\subsection{Rectangle Path Construction}
+
+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 |rectangle|
+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:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \draw (0,0) rectangle (0.5,0.5);
+ \draw (-0.5,-0.5) rectangle (-1,-1);
+\end{tikzpicture}
+\end{codeexample}
+
+While this may be nice in other situations, this is not really leading
+anywhere with Karl's problem: First, we would need an awful lot of
+these rectangles and then there is the border that is not ``closed.''
+
+So, Karl is about to resort to simply drawing four vertical and four
+horizontal lines using the nice |\draw| command, when he learns that
+there is a |grid| path construction operation.
+
+
+
+\subsection{Grid Path Construction}
+
+The |grid| 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
+|grid| operation. For example, the code
+|\tikz \draw[step=2pt] (0,0) grid (10pt,10pt);| produces \tikz
+\draw[step=2pt] (0,0) grid (10pt,10pt);. Note how the optional
+argument for |\draw| can be used to specify a grid width (there are
+also |xstep| and |ystep| to define the steppings independently). As
+Karl will learn soon, there are \emph{lots} of things that can be
+influenced using such options.
+
+For Karl, the following code could be used:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \draw[step=.5cm] (-1.4,-1.4) grid (1.4,1.4);
+\end{tikzpicture}
+\end{codeexample}
+
+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 |\draw| command that draws the
+grid. First, he uses the color |gray| for the grid lines. Second, he
+reduces the line width to |very thin|. Finally, he swaps the ordering
+of the commands so that the grid is drawn first and everything else on
+top.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+\end{tikzpicture}
+\end{codeexample}
+
+
+\subsection{Adding a Touch of Style}
+
+Instead of the options |gray,very thin| Karl could also have
+said |style=help lines|. \emph{Styles} are predefined sets of options
+that can be used to organize how a graphic is drawn. By saying
+|style=help lines| you say ``use the style that I (or someone else)
+has set for drawing help lines.'' If Karl decides, at some later
+point, that grids should be drawn, say, using the color |blue!50|
+instead of |gray|, he could say the following:
+\begin{codeexample}[code only]
+\tikzstyle help lines=[color=blue!50,very thin]
+\end{codeexample}
+Alternatively, he could have said the following:
+\begin{codeexample}[code only]
+\tikzstyle help lines+=[color=blue!50]
+\end{codeexample}
+This would have added the |color=blue!50| option. The |help lines|
+style would now contain \emph{two} color options, but
+the second would override the first.
+
+Using styles makes your graphics code more flexible. You can
+change the way things look easily in a consistent manner.
+
+To build a hierarchy of styles you can have one style use
+another. So in order to define a style |Karl's grid| that is based on
+the |grid| style Karl could say
+\begin{codeexample}[code only]
+\tikzstyle Karl's grid=[style=help lines,color=blue!50]
+...
+\draw[style=Karl's grid] (0,0) grid (5,5);
+\end{codeexample}
+
+You can also leave out the |style=|. Thus, whenever \tikzname\ 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:
+\begin{codeexample}[code only]
+\tikzstyle Karl's grid=[help lines,color=blue!50]
+...
+\draw[Karl's grid] (0,0) grid (5,5);
+\end{codeexample}
+
+For some styles, like the |very thin| style, it is pretty clear what
+the style does and there is no need to say |style=very thin|. For
+other styles, like |help lines|, it seems more natural to me to say
+|style=help lines|. But, mainly, this is a matter of taste.
+
+
+\subsection{Drawing Options}
+
+Karl wonders what other options there are that influence how a path is
+drawn. He saw already that the |color=|\meta{color} option can be used
+to set the line's color. The option |draw=|\meta{color} 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).
+
+He saw that the style |very thin| yields very thin lines. Karl is not
+really surprised by this and neither is he surprised to learn that |thin|
+yields thin lines, |thick| yields thick lines, |very thick| yields
+very thick lines, |ultra thick| yields really, really thick lines and
+|ultra thin| yields lines that are so thin that low-resolution printers
+and displays will have trouble showing them. He wonders what gives
+lines of ``normal'' thickness. It turns out that |thin| is the correct
+choice. This seems strange to Karl, but his son explains him that
+\LaTeX\ has two commands called |\thinlines| and |\thicklines| and
+that |\thinlines| gives the line width of ``normal'' lines, more
+precisely, of the thickness that, say, the stem of a letter like ``T''
+or ``i'' has. Nevertheless, Karl would like to know whether there is
+anything ``in the middle'' between |thin| and |thick|. There is:
+|semithick|.
+
+Another useful thing one can do with lines is to dash or dot them. For
+this, the two styles |dashed| and |dotted| can be used, yielding
+\tikz \draw[dashed] (0,0) -- (10pt,0pt); and \tikz \draw[dotted] (0,0)
+-- (10pt,0pt);. Both options also exist in a loose and a dense
+version, called |loosely dashed|, |densely dashed|, |loosely dotted|,
+and |closely dotted|. If he really, really needs to, Karl can also
+define much more complex dashing patterns with the |dash pattern|
+option, but his son insists that dashing is to be used with utmost
+care and mostly distracts. Karl's son claims that complicated dashing
+patterns are evil. Karl's students do not care about dashing patterns.
+
+
+
+\subsection{Arc Path Construction}
+
+Our next obstacle is to draw the arc for the angle. For this, the
+|arc| path construction operation is useful, which draws part of a
+circle or ellipse. This |arc| 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 |(10:80:10pt)|, which means ``an arc from
+10 degrees to 80 degrees on a circle of radius 10pt.'' Karl obviously
+needs an arc from $0^\circ$ to $30^\circ$. The radius should be
+something relatively small, perhaps around one third of the circle's
+radius. This gives: |(0:30:3mm)|.
+
+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 ``get there.''
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \draw (3mm,0mm) arc (0:30:3mm);
+\end{tikzpicture}
+\end{codeexample}
+
+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 |[scale=3]|
+option. He could add this option to each |\draw| command, but that
+would be awkward. Instead, he adds it to the whole environment, which
+causes this option to apply to everything within.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \draw (3mm,0mm) arc (0:30:3mm);
+\end{tikzpicture}
+\end{codeexample}
+
+As for circles, you can specify ``two'' radii in order to get an
+elliptical arc.
+
+\begin{codeexample}[]
+ \tikz \draw (0,0) arc (0:315:1.75cm and 1cm);
+\end{codeexample}
+
+
+\subsection{Clipping a Path}
+
+In order to save space in this manual, it would be nice to clip Karl's
+graphics a bit so that we can focus on the ``interesting''
+parts. Clipping is pretty easy in \tikzname. You can use the |\clip|
+command clip all subsequent drawing. It works like |\draw|, only it
+does not draw anything, but uses the given path to clip everything
+subsequently.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip (-0.1,-0.2) rectangle (1.1,0.75);
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \draw (3mm,0mm) arc (0:30:3mm);
+\end{tikzpicture}
+\end{codeexample}
+
+You can also do both at the same time: Draw \emph{and} clip a
+path. For this, use the |\draw| command and add the |clip|
+option. (This is not the whole picture: You can also use the |\clip|
+command and add the |draw| option. Well, that is also not the whole
+picture: In reality, |\draw| is just a shorthand for |\path[draw]|
+and |\clip| is a shorthand for |\path[clip]| and you could also say
+|\path[draw,clip]|.) Here is an example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip[draw] (0.5,0.5) circle (.6cm);
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \draw (3mm,0mm) arc (0:30:3mm);
+\end{tikzpicture}
+\end{codeexample}
+
+
+\subsection{Parabola and Sine Path Construction}
+
+Although Karl does not need them for his picture, he is pleased to
+learn that there are |parabola| and |sin| and |cos| path operations for
+adding parabolas and sine and cosine curves to the current path. For the
+|parabola| operation, the current point will lie on the parabola as
+well as the point given after the parabola operation. Consider
+the following example:
+
+\begin{codeexample}[]
+\tikz \draw (0,0) rectangle (1,1) (0,0) parabola (1,1);
+\end{codeexample}
+
+It is also possible to place the bend somewhere else:
+
+\begin{codeexample}[]
+\tikz \draw[x=1pt,y=1pt] (0,0) parabola bend (4,16) (6,12);
+\end{codeexample}
+
+The operations |sin| and |cos| add a sine or cosine curve in the interval
+$[0,\pi/2]$ 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:
+\begin{codeexample}[]
+A sine \tikz \draw[x=1ex,y=1ex] (0,0) sin (1.57,1); curve.
+\end{codeexample}
+
+\begin{codeexample}[]
+\tikz \draw[x=1.57ex,y=1ex] (0,0) sin (1,1) cos (2,0) sin (3,-1) cos (4,0)
+ (0,1) cos (1,0) sin (2,-1) cos (3,0) sin (4,1);
+\end{codeexample}
+
+
+
+\subsection{Filling and Drawing}
+
+Returning to the picture, Karl now wants the angle to be ``filled''
+with a very light green. For this he uses |\fill| instead of
+|\draw|. Here is what Karl does:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip (-0.1,-0.2) rectangle (1.1,0.75);
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \fill[green!20!white] (0,0) -- (3mm,0mm) arc (0:30:3mm) -- (0,0);
+\end{tikzpicture}
+\end{codeexample}
+
+The color |green!20!white| means 20\% green and 80\% white mixed
+together. Such color expression are possible since \pgfname\ uses Uwe
+Kern's |xcolor| package, see the documentation of that package for
+details on color expressions.
+
+What would have happened, if Karl had not ``closed'' the path using
+|--(0,0)| 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:
+\begin{codeexample}[code only]
+ \fill[green!20!white] (0,0) -- (3mm,0mm) arc (0:30:3mm) -- cycle;
+\end{codeexample}
+The |--cycle| 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:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[line width=5pt]
+ \draw (0,0) -- (1,0) -- (1,1) -- (0,0);
+ \draw (2,0) -- (3,0) -- (3,1) -- cycle;
+ \useasboundingbox (0,1.5); % make bounding box higher
+\end{tikzpicture}
+\end{codeexample}
+
+You can also fill and draw a path at the same time using the
+|\filldraw| 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:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip (-0.1,-0.2) rectangle (1.1,0.75);
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \filldraw[fill=green!20!white, draw=green!50!black]
+ (0,0) -- (3mm,0mm) arc (0:30:3mm) -- cycle;
+\end{tikzpicture}
+\end{codeexample}
+
+
+
+\subsection{Shading}
+
+Karl briefly considers the possibility of making the angle ``more
+fancy'' by \emph{shading} it. Instead of filling the with a uniform
+color, a smooth transition between different colors is used. For this,
+|\shade| and |\shadedraw|, for shading and drawing at the same time,
+can be used:
+
+\begin{codeexample}[]
+ \tikz \shade (0,0) rectangle (2,1) (3,0.5) circle (.5cm);
+\end{codeexample}
+The default shading is a smooth transition from gray to white. To
+specify different colors, you can use options:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[rounded corners,ultra thick]
+ \shade[top color=yellow,bottom color=black] (0,0) rectangle +(2,1);
+ \shade[left color=yellow,right color=black] (3,0) rectangle +(2,1);
+ \shadedraw[inner color=yellow,outer color=black,draw=yellow] (6,0) rectangle +(2,1);
+ \shade[ball color=green] (9,.5) circle (.5cm);
+\end{tikzpicture}
+\end{codeexample}
+
+For Karl, the following might be appropriate:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip (-0.1,-0.2) rectangle (1.1,0.75);
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \shadedraw[left color=gray,right color=green, draw=green!50!black]
+ (0,0) -- (3mm,0mm) arc (0:30:3mm) -- cycle;
+\end{tikzpicture}
+\end{codeexample}
+
+However, he wisely decides that shadings usually only distract without
+adding anything to the picture.
+
+
+\subsection{Specifying Coordinates}
+
+Karl now wants to add the sine and cosine lines. He knows already that
+he can use the |color=| option to set the lines's colors. So, what is
+the best way to specify the coordinates?
+
+There are different ways of specifying coordinates. The easiest way is
+to say something like |(10pt,2cm)|. This means 10pt in $x$-direction
+and 2cm in $y$-directions. Alternatively, you can also leave out the
+units as in |(1,2)|, which means ``one times the current $x$-vector
+plus twice the current $y$-vector.'' These vectors default to 1cm in
+the $x$-direction and 1cm in the $y$-direction, respectively.
+
+In order to specify points in polar coordinates, use the notation
+|(30:1cm)|, which means 1cm in direction 30 degree. This is obviously
+quite useful to ``get to the point $(\cos 30^\circ,\sin 30^\circ)$ on
+the circle.''
+
+You can add a single |+| sign in front of a coordinate or two of
+them as in |+(1cm,0cm)| or |++(0cm,2cm)|. Such coordinates are interpreted
+differently: The first form means ``1cm upwards from the previous
+specified position'' and the second means ``2cm to the right of the
+previous specified position, making this the new specified position.''
+For example, we can draw the sine line as follows:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip (-0.1,-0.2) rectangle (1.1,0.75);
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \filldraw[fill=green!20,draw=green!50!black]
+ (0,0) -- (3mm,0mm) arc (0:30:3mm) -- cycle;
+ \draw[red,very thick] (30:1cm) -- +(0,-0.5);
+\end{tikzpicture}
+\end{codeexample}
+
+Karl used the fact $\sin 30^\circ = 1/2$. However, he very much
+doubts that his students know this, so it would be nice to have a way
+of specifying ``the point straight down from |(30:1cm)| that lies on
+the $x$-axis.'' This is, indeed, possible using a special syntax: Karl
+can write \verb!(30:1cm |- 0,0)!. In general, the meaning of
+|(|\meta{p}\verb! |- !\meta{q}|)| is ``the intersection of a vertical
+line through $p$ and a horizontal line through $q$.''
+
+Next, let us draw the cosine line. One way would be to say
+\verb!(30:1cm |- 0,0) -- (0,0)!. Another way is the following: we
+``continue'' from where the sine ends:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip (-0.1,-0.2) rectangle (1.1,0.75);
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \draw (-1.5,0) -- (1.5,0);
+ \draw (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \filldraw[fill=green!20,draw=green!50!black] (0,0) -- (3mm,0mm) arc
+ (0:30:3mm) -- cycle;
+ \draw[red,very thick] (30:1cm) -- +(0,-0.5);
+ \draw[blue,very thick] (30:1cm) ++(0,-0.5) -- (0,0);
+\end{tikzpicture}
+\end{codeexample}
+
+Note the there is no |--| between |(30:1cm)| and |+(0,-0.5)|. In
+detail, this path is interpreted as follows: ``First, the |(30:1cm)|
+tells me to move by pen to $(\cos 30^\circ,1/2)$. 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 $(\cos 30^\circ,0)$. Finally, I move the pen to the
+origin, but this time drawing something (because of the |--|).''
+
+To appreciate the difference between |+| and |++| consider the
+following example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \def\rectanglepath{-- ++(1cm,0cm) -- ++(0cm,1cm) -- ++(-1cm,0cm) -- cycle}
+ \draw (0,0) \rectanglepath;
+ \draw (1.5,0) \rectanglepath;
+\end{tikzpicture}
+\end{codeexample}
+
+By comparison, when using a single |+|, the coordinates are different:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \def\rectanglepath{-- +(1cm,0cm) -- +(1cm,1cm) -- +(0cm,1cm) -- cycle}
+ \draw (0,0) \rectanglepath;
+ \draw (1.5,0) \rectanglepath;
+\end{tikzpicture}
+\end{codeexample}
+
+
+Naturally, all of this could have been written more clearly and more
+economically like this (either with a single of a double |+|):
+\begin{codeexample}[]
+\tikz \draw (0,0) rectangle +(1,1) (1.5,0) rectangle +(1,1);
+\end{codeexample}
+
+
+
+Karl is left with the line for $\tan \alpha$, 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 $\tan \alpha$ starts at $(1,0)$
+and goes upward to a point that is at the intersection of a line going
+``up'' and a line going from the origin through |(30:1cm)|. The syntax
+for this point is the following:
+
+\begin{codeexample}[code only]
+\draw[very thick,orange] (1,0) -- (intersection of 1,0--1,1 and 0,0--30:1cm);
+\end{codeexample}
+
+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.
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=0.5]
+ \draw (0,0) -- (90:1cm) arc (90:360:1cm) arc (0:30:1cm) -- cycle;
+ \draw (60:5pt) -- +(30:1cm) arc (30:90:1cm) -- cycle;
+
+ \draw (3,0) +(0:1cm) -- +(72:1cm) -- +(144:1cm) -- +(216:1cm) --
+ +(288:1cm) -- cycle;
+\end{tikzpicture}
+\end{codeexample}
+
+
+
+\subsection{Adding Arrow Tips}
+
+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.
+
+It turns out that adding arrow tips is pretty easy: Karl adds the option
+|->| to the drawing commands for the axes:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip (-0.1,-0.2) rectangle (1.1,1.51);
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \draw[->] (-1.5,0) -- (1.5,0);
+ \draw[->] (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+ \filldraw[fill=green!20,draw=green!50!black] (0,0) -- (3mm,0mm) arc
+ (0:30:3mm) -- cycle;
+ \draw[red,very thick] (30:1cm) -- +(0,-0.5);
+ \draw[blue,very thick] (30:1cm) ++(0,-0.5) -- (0,0);
+ \draw[orange,very thick] (1,0) -- (intersection of 1,0--1,1 and 0,0--30:1cm);
+\end{tikzpicture}
+\end{codeexample}
+
+If Karl had used the option |<-| instead of |->|, arrow tips would
+have been put at the beginning of the path. The option |<->| puts
+arrow tips at both ends of the path.
+
+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 ``line.'' 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:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw [<->] (0,0) arc (180:30:10pt);
+ \draw [<->] (1,0) -- (1.5cm,10pt) -- (2cm,0pt) -- (2.5cm,10pt);
+\end{tikzpicture}
+\end{codeexample}
+
+Karl has a more detailed look at the arrow that \tikzname\ puts at the
+end. It looks like this when he zooms it: \tikz { \useasboundingbox
+ (0pt,-.5ex) rectangle (10pt,.5ex); \draw[->,line width=1pt] (0pt,0pt) --
+ (10pt,0pt); }. The shape seems vaguely familiar and, indeed, this is
+exactly the end of \TeX's standard arrow used in something like
+$f\colon A \to B$.
+
+
+Karl likes the arrow, especially since it is not ``as thick'' 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 |>=|\meta{right arrow tip kind}, where
+\meta{right arrow tip kind} is a special arrow tip specification. For
+example, if Karl says |>=stealth|, then he tells \tikzname\
+that he would like ``stealth-fighter-like'' arrow tips:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[>=stealth]
+ \draw [->] (0,0) arc (180:30:10pt);
+ \draw [<<-,very thick] (1,0) -- (1.5cm,10pt) -- (2cm,0pt) -- (2.5cm,10pt);
+\end{tikzpicture}
+\end{codeexample}%>>
+
+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's PowerPoint uses the same name. He decides to have his
+students discuss this at some point.
+
+In addition to |stealth| there are several other predefined arrow tip
+kinds Karl can choose from, see
+Section~\ref{section-library-arrows}. Furthermore, he can define
+arrows types himself, if he needs new ones.
+
+
+
+
+\subsection{Scoping}
+
+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 |thick| pen, but would like everything else to
+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.
+
+Here is an example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[ultra thick]
+ \draw (0,0) -- (0,1);
+ \begin{scope}[thin]
+ \draw (1,0) -- (1,1);
+ \draw (2,0) -- (2,1);
+ \end{scope}
+ \draw (3,0) -- (3,1);
+\end{tikzpicture}
+\end{codeexample}
+
+Scoping has another interesting effect: Any changes to the clipping
+area are local to the scope. Thus, if you say |\clip| somewhere inside
+a scope, the effect of the |\clip| command ends at the end of the
+scope. This is useful since there is no other way of ``enlarging'' the
+clipping area.
+
+Karl has also already seen that giving options to commands like
+|\draw| apply only to that command. In turns out that the situation is
+slightly more complex. First, options to a command like |\draw| are
+not really options to the command, but they are ``path options'' and
+can be given anywhere on the path. So, instead of
+|\draw[thin] (0,0) -- (1,0);| one can also write
+|\draw (0,0) [thin] -- (1,0);| or |\draw (0,0) -- (1,0) [thin];|; all
+of these have the same effect. This might seem strange since in the
+last case, it would appear that the |thin| should take effect only
+``after'' the line from $(0,0)$ to $(1,0)$ has been draw. However,
+most graphic options only apply to the whole path. Indeed, if you say
+both |thin| and |thick| on the same path, the last option given will
+``win.''
+
+When reading the above, Karl notices that only ``most'' graphic
+options apply to the whole path. Indeed, all transformation options do
+\emph{not} apply to the whole path, but only to ``everything following
+them on the path.'' 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.
+
+
+
+\subsection{Transformations}
+
+When you specify a coordinate like |(1cm,1cm)|, where is that
+coordinate placed on the page? To determine the position, \tikzname,
+\TeX, and \textsc{pdf} or PostScript all apply certain transformations
+to the given coordinate in order to determine the finally position on
+the page.
+
+\tikzname\ provides numerous options that allow you to transform
+coordinates in \pgfname's private coordinate system. For example, the
+|xshift| option allows you to shift all subsequent points by a certain
+amount:
+
+\begin{codeexample}[]
+\tikz \draw (0,0) -- (0,0.5) [xshift=2pt] (0,0) -- (0,0.5);
+\end{codeexample}
+
+It is important to note that you can change transformation ``in the
+middle of a path,'' a feature that is not supported by \pdf\
+or PostScript. The reason is that \pgfname\ keeps track of its own
+transformation matrix.
+
+Here is a more complicated example:
+\begin{codeexample}[]
+\begin{tikzpicture}[even odd rule,rounded corners=2pt,x=10pt,y=10pt]
+ \filldraw[fill=examplefill] (0,0) rectangle (1,1)
+ [xshift=5pt,yshift=5pt] (0,0) rectangle (1,1)
+ [rotate=30] (-1,-1) rectangle (2,2);
+\end{tikzpicture}
+\end{codeexample}
+
+The most useful transformations are |xshift| and |yshift| for
+shifting, |shift| for shifting to a given point as in |shift={(1,0)}|
+or |shift={+(0,0)}| (the braces are necessary so that \TeX\ does not
+mistake the comma for separating options), |rotate| for rotating by a
+certain angle (there is also a |rotate around| for rotating around a
+given point), |scale| for scaling by a certain factor, |xscale| and
+|yscale| for scaling only in the $x$- or $y$-direction (|xscale=-1| is
+a flip), and |xslant| and |yslant| for slanting. If these
+transformation and those that I have not mentioned are not
+sufficient, the |cm| option allows you to apply an arbitrary
+transformation matrix. Karl's students, by the way, do not know what a
+transformation matrix is.
+
+
+
+\subsection{Repeating Things: For-Loops}
+
+Karl's next aim is to add little ticks on the axes at positions $-1$,
+$-1/2$, $1/2$, and $1$. For this, it would be nice to use some kind of
+``loop,'' especially since he wishes to do the same thing at each of
+these positions. There are different packages for doing this. \LaTeX\
+has its own internal command for this, |pstricks| comes along with the
+powerful |\mulitdo| command. All of these can be used together with
+\pgfname\ and \tikzname, so if you are familiar with them, feel free to
+use them. \pgfname\ introduces yet another command, called |\foreach|,
+which I introduced since I could never remember the syntax of the other
+packages. |\foreach| is defined in the package |pgffor| and can be used
+independently of \pgfname. \tikzname\ includes it automatically.
+
+In its basic form, the |\foreach| command is easy to use:
+\begin{codeexample}[]
+\foreach \x in {1,2,3} {$x =\x$, }
+\end{codeexample}
+
+The general syntax is |\foreach| \meta{variable}| in {|\meta{list of
+ values}|} |\meta{commands}. Inside the \meta{commands}, the
+\meta{variable} will be assigned to the different values. If the
+\meta{commands} do not start with a brace, everything up to the
+next semicolon is used as \meta{commands}.
+
+For Karl and the ticks on the axes, he could use the following code:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip (-0.1,-0.2) rectangle (1.1,1.51);
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \filldraw[fill=green!20,draw=green!50!black] (0,0) -- (3mm,0mm) arc
+ (0:30:3mm) -- cycle;
+ \draw[->] (-1.5,0) -- (1.5,0);
+ \draw[->] (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+
+ \foreach \x in {-1cm,-0.5cm,1cm}
+ \draw (\x,-1pt) -- (\x,1pt);
+ \foreach \y in {-1cm,-0.5cm,0.5cm,1cm}
+ \draw (-1pt,\y) -- (1pt,\y);
+\end{tikzpicture}
+\end{codeexample}
+
+As a matter of fact, there are many different ways of creating the
+ticks. For example, Karl could have put the |\draw ...;| inside curly
+braces. He could also have used, say,
+\begin{codeexample}[code only]
+\foreach \x in {-1,-0.5,1}
+ \draw[xshift=\x cm] (0pt,-1pt) -- (0pt,1pt);
+\end{codeexample}
+
+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 |\foreach|. Indeed, it is
+possible to use |...| inside the |\foreach| statement to iterate over
+a large number of values (which must, however, be dimensionless
+real numbers) as in the following example:
+
+\begin{codeexample}[]
+\tikz \foreach \x in {1,...,10}
+ \draw (\x,0) circle (0.4cm);
+\end{codeexample}
+
+If you provide \emph{two} numbers before the |...|, the |\foreach|
+statement will use their difference for the stepping:
+
+\begin{codeexample}[]
+\tikz \foreach \x in {-1,-0.5,...,1}
+ \draw (\x cm,-1pt) -- (\x cm,1pt);
+\end{codeexample}
+
+We can also nest loops to create interesting effects:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \foreach \x in {1,2,...,5,7,8,...,12}
+ \foreach \y in {1,...,5}
+ {
+ \draw (\x,\y) +(-.5,-.5) rectangle ++(.5,.5);
+ \draw (\x,\y) node{\x,\y};
+ }
+\end{tikzpicture}
+\end{codeexample}
+
+The |\foreach| statement can do even trickier stuff, but the above
+gives the idea.
+
+
+
+
+\subsection{Adding Text}
+
+Karl is, by now, quite satisfied with the picture. However, the most
+important parts, namely the labels, are still missing!
+
+\tikzname\ 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 \tikzname\ is constructing a path and
+encounters the keyword |node| in the middle of a path, it
+reads a \emph{node specification}. The keyword |node| is typically
+followed by some options and then some text between curly braces. This
+text is put inside a normal \TeX\ box (if the node specification
+directly follows a coordinate, which is usually the case, \tikzname\ 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.
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) rectangle (2,2);
+ \draw (0.5,0.5) node [fill=examplefill]
+ {Text at \verb!node 1!}
+ -- (1.5,1.5) node {Text at \verb!node 2!};
+\end{tikzpicture}
+\end{codeexample}
+
+Obviously, Karl would not only like to place nodes \emph{on} 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 \emph{anchors}. For
+example, the |north| anchor is in the middle at the upper end of the shape,
+the |south| anchor is at the bottom and the |north east| anchor is in
+the upper right corner. When you given the option |anchor=north|, 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:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip (-0.6,-0.2) rectangle (0.6,1.51);
+ \draw[step=.5cm,style=help lines] (-1.4,-1.4) grid (1.4,1.4);
+ \filldraw[fill=green!20,draw=green!50!black]
+ (0,0) -- (3mm,0mm) arc (0:30:3mm) -- cycle;
+ \draw[->] (-1.5,0) -- (1.5,0); \draw[->] (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+
+ \foreach \x in {-1,-0.5,1}
+ \draw (\x cm,1pt) -- (\x cm,-1pt) node[anchor=north] {$\x$};
+ \foreach \y in {-1,-0.5,0.5,1}
+ \draw (1pt,\y cm) -- (-1pt,\y cm) node[anchor=east] {$\y$};
+\end{tikzpicture}
+\end{codeexample}
+
+This is quite nice, already. Using these anchors, Karl can now add
+most of the other text elements. However, Karl thinks that, though
+``correct,'' it is quite counter-intuitive that in order to place something
+\emph{below} a given point, he has to use the \emph{north} anchor. For
+this reason, there is an option called |below|, which does the
+same as |anchor=north|. Similarly, |above right| does the same as
+|anchor=south east|. In addition, |below| takes an optional
+dimension argument. If given, the shape will additionally be shifted
+downwards by the given amount. So, |below=1pt| can be used to put
+a text label below some point and, additionally shift it 1pt
+downwards.
+
+Karl is not quite satisfied with the ticks. He would like to have
+$1/2$ or $\frac{1}{2}$ shown instead of $0.5$, partly to show off the
+nice capabilities of \TeX\ and \tikzname, partly because for positions
+like $1/3$ or $\pi$ it is certainly very much preferable to have the
+``mathematical'' tick there instead of just the ``numeric'' tick.
+His students, on the other hand, prefer $0.5$ over $1/2$
+since they are not too fond of fractions in general.
+
+Karl now faces a problem: For the |\foreach| statement, the position
+|\x| should still be given as |0.5| since \tikzname\ will not know where
+|\frac{1}{2}| is supposed to be. On the other hand, the typeset text
+should really be |\frac{1}{2}|. To solve this problem, |\foreach|
+offers a special syntax: Instead of having one variable |\x|, Karl can
+specify two (or even more) variables separated by a slash as in
+|\x / \xtext|. Then, the elements in the set over which |\foreach|
+iterates must also be of the form \meta{first}|/|\meta{second}. In
+each iteration, |\x| will be set to \meta{first} and |\xtext| will be
+set to \meta{second}. If no \meta{second} is given, the \meta{first}
+will be used again. So, here is the new code for the ticks:
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip (-0.6,-0.2) rectangle (0.6,1.51);
+ \draw[step=.5cm,style=help lines] (-1.4,-1.4) grid (1.4,1.4);
+ \filldraw[fill=green!20,draw=green!50!black]
+ (0,0) -- (3mm,0mm) arc (0:30:3mm) -- cycle;
+ \draw[->] (-1.5,0) -- (1.5,0); \draw[->] (0,-1.5) -- (0,1.5);
+ \draw (0,0) circle (1cm);
+
+ \foreach \x/\xtext in {-1, -0.5/-\frac{1}{2}, 1}
+ \draw (\x cm,1pt) -- (\x cm,-1pt) node[anchor=north] {$\xtext$};
+ \foreach \y/\ytext in {-1, -0.5/-\frac{1}{2}, 0.5/\frac{1}{2}, 1}
+ \draw (1pt,\y cm) -- (-1pt,\y cm) node[anchor=east] {$\ytext$};
+\end{tikzpicture}
+\end{codeexample}
+
+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
+|[fill=white]| option to fill out the background of the text shape
+with a white color.
+
+The next thing Karl wants to do is to add the labels like $\sin
+\alpha$. For this, he would like to place a label ``in the middle of
+line.'' To do so, instead of specifying the label
+|node {$\sin\alpha$}| 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 |--|, before the coordinate. By default, this places the label in
+the middle of the line, but the |pos=| options can be used to modify
+this. Also, options like |near start| and |near end| can be used to
+modify this position:
+
+
+\begin{codeexample}[]
+\begin{tikzpicture}[scale=3]
+ \clip (-2,-0.2) rectangle (2,0.8);
+ \draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
+ \filldraw[fill=green!20,draw=green!50!black] (0,0) -- (3mm,0mm) arc
+ (0:30:3mm) -- cycle;
+ \draw[->] (-1.5,0) -- (1.5,0) coordinate (x axis);
+ \draw[->] (0,-1.5) -- (0,1.5) coordinate (y axis);
+ \draw (0,0) circle (1cm);
+
+ \draw[very thick,red]
+ (30:1cm) -- node[left=1pt,fill=white] {$\sin \alpha$} (30:1cm |- x axis);
+ \draw[very thick,blue]
+ (30:1cm |- x axis) -- node[below=2pt,fill=white] {$\cos \alpha$} (0,0);
+ \draw[very thick,orange] (1,0) -- node [right=1pt,fill=white]
+ {$\displaystyle \tan \alpha \color{black}=
+ \frac{{\color{red}\sin \alpha}}{\color{blue}\cos \alpha}$}
+ (intersection of 0,0--30:1cm and 1,0--1,1) coordinate (t);
+
+ \draw (0,0) -- (t);
+
+ \foreach \x/\xtext in {-1, -0.5/-\frac{1}{2}, 1}
+ \draw (\x cm,1pt) -- (\x cm,-1pt) node[anchor=north,fill=white] {$\xtext$};
+ \foreach \y/\ytext in {-1, -0.5/-\frac{1}{2}, 0.5/\frac{1}{2}, 1}
+ \draw (1pt,\y cm) -- (-1pt,\y cm) node[anchor=east,fill=white] {$\ytext$};
+\end{tikzpicture}
+\end{codeexample}
+
+You can also position labels on curves and, by adding the |sloped|
+option, have them rotated such that they match the line's slope. Here
+is an example:
+
+\begin{codeexample}[]
+\begin{tikzpicture}
+ \draw (0,0) .. controls (6,1) and (9,1) ..
+ node[near start,sloped,above] {near start}
+ node {midway}
+ node[very near end,sloped,below] {very near end} (12,0);
+\end{tikzpicture}
+\end{codeexample}
+
+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 ``label,'' which is quite long, so that line breaking is
+used. Fortunately, Karl can use the option |text width=6cm| to get the
+desired effect. So, here is the full code:
+
+\begin{codeexample}[code only]
+\begin{tikzpicture}[scale=3,cap=round]
+ % Local definitions
+ \def\costhirty{0.8660256}
+
+ % Colors
+ \colorlet{anglecolor}{green!50!black}
+ \colorlet{sincolor}{red}
+ \colorlet{tancolor}{orange!80!black}
+ \colorlet{coscolor}{blue}
+
+ % Styles
+ \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);
+
+ \draw (0,0) circle (1cm);
+
+ \begin{scope}[style=axes]
+ \draw[->] (-1.5,0) -- (1.5,0) node[right] {$x$} coordinate(x axis);
+ \draw[->] (0,-1.5) -- (0,1.5) node[above] {$y$} coordinate(y axis);
+
+ \foreach \x/\xtext in {-1, -.5/-\frac{1}{2}, 1}
+ \draw[xshift=\x cm] (0pt,1pt) -- (0pt,-1pt) node[below,fill=white] {$\xtext$};
+
+ \foreach \y/\ytext in {-1, -.5/-\frac{1}{2}, .5/\frac{1}{2}, 1}
+ \draw[yshift=\y cm] (1pt,0pt) -- (-1pt,0pt) node[left,fill=white] {$\ytext$};
+ \end{scope}
+
+ \filldraw[fill=green!20,draw=anglecolor] (0,0) -- (3mm,0pt) arc(0:30:3mm);
+ \draw (15:2mm) node[anglecolor] {$\alpha$};
+
+ \draw[style=important line,sincolor]
+ (30:1cm) -- node[left=1pt,fill=white] {$\sin \alpha$} (30:1cm |- x axis);
+
+ \draw[style=important line,coscolor]
+ (30:1cm |- x axis) -- node[below=2pt,fill=white] {$\cos \alpha$} (0,0);
+
+ \draw[style=important line,tancolor] (1,0) -- node[right=1pt,fill=white] {
+ $\displaystyle \tan \alpha \color{black}=
+ \frac{{\color{sincolor}\sin \alpha}}{\color{coscolor}\cos \alpha}$}
+ (intersection of 0,0--30:1cm and 1,0--1,1) coordinate (t);
+
+ \draw (0,0) -- (t);
+
+ \draw[xshift=1.85cm]
+ node[right,text width=6cm,style=information text]
+ {
+ The {\color{anglecolor} angle $\alpha$} is $30^\circ$ in the
+ example ($\pi/6$ in radians). The {\color{sincolor}sine of
+ $\alpha$}, which is the height of the red line, is
+ \[
+ {\color{sincolor} \sin \alpha} = 1/2.
+ \]
+ By the Theorem of Pythagoras ...
+ };
+\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
new file mode 100644
index 00000000000..3e093a58174
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-en-xxcolor.tex
@@ -0,0 +1,87 @@
+% 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{Extended Color Support}
+
+This section documents the package \texttt{xxcolor}, which is
+currently distributed as part of \pgfname. This package extends the
+\texttt{xcolor} package, written by Uwe Kern, which in turn extends
+the \texttt{color} package. I hope that the commands in
+\texttt{xxcolor} will some day migrate to \texttt{xcolor}, such that
+this package becomes superfluous.
+
+The main aim of the \texttt{xxcolor} package is to provide an
+environment inside which all colors are ``washed out'' or ``dimmed.''
+This is useful in numerous situations and must typically be achieved
+in a roundabout manner if such an environment is not available.
+
+\begin{environment}{{colormixin}\marg{mix-in specification}}
+ 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 |\color| command is
+ encountered inside a mix-in environment, the number states what
+ percentage of the desired color should be used. The rest is
+ ``filled up'' with the color given in the mix-in
+ specification. Thus, a mix-in specification like |90!blue|
+ will mix in 10\% of blue into everything, whereas |25!white| will
+ make everything nearly white.
+
+\begin{codeexample}[width=4cm]
+\begin{minipage}{3.5cm}\raggedright
+\color{red}Red text,%
+\begin{colormixin}{25!white}
+ washed-out red text,
+ \color{blue} washed-out blue text,
+ \begin{colormixin}{25!black}
+ dark washed-out blue text,
+ \color{green} dark washed-out green text,%
+ \end{colormixin}
+ back to washed-out blue text,%
+\end{colormixin}
+and back to red.
+\end{minipage}%
+\end{codeexample}
+\end{environment}
+
+Note that the environment only changes colors that have been installed
+using the standard \LaTeX\ |\color| command. In particular,
+the colors in images are not changed. There is, however, some support
+offered by the commands |\pgfuseimage| and
+|\pgfuseshading|. If the first command is invoked
+inside a |colormixin| environment with the parameter, say,
+|50!black| on an image with the name |foo|, the command
+will first check whether there is also a defined image with the name
+|foo.!50!black|. If so, this image is used instead. This allows
+you to provide a different image for this case. If you nest
+|colormixin| environments, the different mix-ins are all appended. For
+example, inside the inner environment of
+the above example, |\pgfuseimage{foo}| would first check whether
+there exists an image named |foo.!50!white!25!black|.
+
+\begin{command}{\colorcurrentmixin}
+ Expands to the current accumulated mix-in. Each nesting of a
+ |colormixin| adds a mix-in to this list.
+\begin{codeexample}[]
+\begin{minipage}{\linewidth-6pt}\raggedright
+\begin{colormixin}{75!white}
+ \colorcurrentmixin\ should be ``!75!white''\par
+ \begin{colormixin}{75!black}
+ \colorcurrentmixin\ should be ``!75!black!75!white''\par
+ \begin{colormixin}{50!white}
+ \colorcurrentmixin\ should be ``!50!white!75!black!75!white''\par
+ \end{colormixin}
+ \end{colormixin}
+\end{colormixin}
+\end{minipage}
+\end{codeexample}
+\end{command}
+
+
+
+
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
new file mode 100644
index 00000000000..d2ea9300f71
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/pgfmanual-main.tex
@@ -0,0 +1,335 @@
+% 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.
+
+% pgf version is defined in \pgfversion in file
+% generic/pgf/utilities/pgfrcs.code.tex
+
+\def\xcolorversion{2.00}
+\def\xkeyvalversion{1.8}
+
+\usepackage[version=0.96]{pgf}
+\usepackage{tikz}
+\usepackage{pgflibraryarrows}
+\usepackage{pgflibraryshapes}
+\usepackage{pgflibraryplotmarks}
+\usepackage{pgflibrarytikzbackgrounds}
+\usepackage{pgflibrarytikztrees}
+\usepackage[left=2.25cm,right=2.25cm,top=2.5cm,bottom=2.5cm,nohead]{geometry}
+\usepackage{amsmath,amssymb}
+\usepackage{xxcolor}
+\usepackage{pifont}
+\usepackage{makeidx}
+\usepackage[latin1]{inputenc}
+\usepackage{amsmath}
+
+\input{../../macros/pgfmanual-macros}
+
+\makeindex
+
+\makeatletter
+\renewcommand*\l@subsection{\@dottedtocline{2}{1.5em}{2.8em}}
+\renewcommand*\l@subsubsection{\@dottedtocline{3}{4.3em}{3.2em}}
+\makeatother
+
+%\includeonly{pgfmanual-libraries}
+
+% Global styles:
+\tikzstyle{every plot}=[prefix=plots/pgf-]
+\tikzstyle{shape example}=[color=black!30,draw,fill=yellow!30,line width=.5cm,inner xsep=2.5cm,inner ysep=0.5cm]
+
+\index{Options for graphics|see{Graphic options}}
+\index{Options for packages|see{Package options}}
+\index{File|see{Packages and files}}
+\index{Layout|see{Page layout}}
+
+\begin{document}
+
+{
+ \parindent0pt
+\vbox{}
+\vskip 3.5cm
+\Huge
+\tikzname\ and \pgfname
+
+\Large
+Manual for Version \pgfversion
+
+\vskip 3cm
+
+\begin{codeexample}[graphic=white]
+\tikz[rotate=30]
+ \foreach \x / \xcolor in {0/blue,1/cyan,2/green,3/yellow,4/red}
+ \foreach \y / \ycolor in {0/blue,1/cyan,2/green,3/yellow,4/red}
+ \shade[ball color=\xcolor!50!\ycolor] (\x,\y) circle (7.5mm);
+\end{codeexample}
+\vskip 0cm plus 1.5fill
+\vbox{}
+\clearpage
+}
+
+{
+ \vbox{}
+ \vskip0pt plus 1fill
+ Für meinen Vater, damit er noch viele schöne \TeX-Graphiken erschaffen kann.
+ \vskip0pt plus 3fill
+ \vbox{}
+ \clearpage
+}
+
+
+\title{The \tikzname\ and \pgfname\ Packages\\
+ 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}}}
+
+\maketitle
+
+\tableofcontents
+
+\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.
+
+\vskip3cm
+
+\begin{codeexample}[graphic=white,width=0pt]
+\tikz \draw[thick,rounded corners=8pt]
+ (0,0) -- (0,2) -- (1,3.25) -- (2,2) -- (2,0) -- (0,2) -- (2,2) -- (0,0) -- (2,0);
+\end{codeexample}
+
+\include{pgfmanual-introduction}
+\include{pgfmanual-installation}
+\include{pgfmanual-tutorial}
+\include{pgfmanual-guidelines}
+\include{pgfmanual-drivers}
+
+
+\part{Ti\emph{k}Z ist \emph{kein} Zeichenprogramm}
+\label{part-tikz}
+
+\vskip3cm
+\begin{codeexample}[graphic=white]
+\begin{tikzpicture}
+ \draw[fill=yellow] (0,0) -- (60:.75cm) arc (60:180:.75cm);
+ \draw(120:0.4cm) node {$\alpha$};
+
+ \draw[fill=green!30] (0,0) -- (right:.75cm) arc (0:60:.75cm);
+ \draw(30:0.5cm) node {$\beta$};
+
+ \begin{scope}[shift={(60:2cm)}]
+ \draw[fill=green!30] (0,0) -- (180:.75cm) arc (180:240:.75cm);
+ \draw (30:-0.5cm) node {$\gamma$};
+
+ \draw[fill=yellow] (0,0) -- (240:.75cm) arc (240:360:.75cm);
+ \draw (-60:0.4cm) node {$\delta$};
+ \end{scope}
+
+ \begin{scope}[thick]
+ \draw (60:-1cm) node[fill=white] {$E$} -- (60:3cm) node[fill=white] {$F$};
+ \draw[red] (-2,0) node[left] {$A$} -- (3,0) node[right]{$B$};
+ \draw[blue,shift={(60:2cm)}] (-3,0) node[left] {$C$} -- (2,0) node[right]{$D$};
+
+ \draw[shift={(60:1cm)},xshift=4cm]
+ node [right,text width=6cm,rounded corners,fill=red!20,inner sep=1ex]
+ {
+ When we assume that $\color{red}AB$ and $\color{blue}CD$ are
+ parallel, i.\,e., ${\color{red}AB} \mathbin{\|} \color{blue}CD$,
+ then $\alpha = \delta$ and $\beta = \gamma$.
+ };
+ \end{scope}
+\end{tikzpicture}
+\end{codeexample}
+
+
+
+\include{pgfmanual-tikz-design}
+\include{pgfmanual-tikz-scopes}
+\include{pgfmanual-tikz-coordinates}
+\include{pgfmanual-tikz-paths}
+\include{pgfmanual-tikz-actions}
+\include{pgfmanual-tikz-shapes}
+\include{pgfmanual-tikz-trees}
+\include{pgfmanual-tikz-transformations}
+
+
+
+\part{Libraries and Utilities}
+\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.
+
+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
+\begin{codeexample}[graphic=white]
+\begin{tikzpicture}[scale=2]
+ \shade[top color=blue,bottom color=gray!50] (0,0) parabola (1.5,2.25) |- (0,0);
+ \draw (1.05cm,2pt) node[above] {$\displaystyle\int_0^{3/2} \!\!x^2\mathrm{d}x$};
+
+ \draw[style=help lines] (0,0) grid (3.9,3.9)
+ [step=0.25cm] (1,2) grid +(1,1);
+
+ \draw[->] (-0.2,0) -- (4,0) node[right] {$x$};
+ \draw[->] (0,-0.2) -- (0,4) node[above] {$f(x)$};
+
+ \foreach \x/\xtext in {1/1, 1.5/1\frac{1}{2}, 2/2, 3/3}
+ \draw[shift={(\x,0)}] (0pt,2pt) -- (0pt,-2pt) node[below] {$\xtext$};
+
+ \foreach \y/\ytext in {1/1, 2/2, 2.25/2\frac{1}{4}, 3/3}
+ \draw[shift={(0,\y)}] (2pt,0pt) -- (-2pt,0pt) node[left] {$\ytext$};
+
+ \draw (-.5,.25) parabola bend (0,0) (2,4) node[below right] {$x^2$};
+\end{tikzpicture}
+\end{codeexample}
+
+\include{pgfmanual-libraries}
+\include{pgfmanual-pgffor}
+\include{pgfmanual-pages}
+\include{pgfmanual-xxcolor}
+
+
+
+\part{The Basic Layer}
+
+\vskip1cm
+\begin{codeexample}[graphic=white]
+\begin{tikzpicture}
+ \draw[gray,very thin] (-1.9,-1.9) grid (2.9,3.9)
+ [step=0.25cm] (-1,-1) grid (1,1);
+ \draw[blue] (1,-2.1) -- (1,4.1); % asymptote
+
+ \draw[->] (-2,0) -- (3,0) node[right] {$x(t)$};
+ \draw[->] (0,-2) -- (0,4) node[above] {$y(t)$};
+
+ \foreach \pos in {-1,2}
+ \draw[shift={(\pos,0)}] (0pt,2pt) -- (0pt,-2pt) node[below] {$\pos$};
+
+ \foreach \pos in {-1,1,2,3}
+ \draw[shift={(0,\pos)}] (2pt,0pt) -- (-2pt,0pt) node[left] {$\pos$};
+
+ \fill (0,0) circle (0.064cm);
+ \draw[thick,parametric,domain=0.4:1.5,samples=200]
+ % The plot is reparameterised such that there are more samples
+ % near the center.
+ plot[id=asymptotic-example] function{(t*t*t)*sin(1/(t*t*t)),(t*t*t)*cos(1/(t*t*t))}
+ node[right] {$\bigl(x(t),y(t)\bigr) = (t\sin \frac{1}{t}, t\cos \frac{1}{t})$};
+
+ \fill[red] (0.63662,0) circle (2pt)
+ node [below right,fill=white,yshift=-4pt] {$(\frac{2}{\pi},0)$};
+\end{tikzpicture}
+\end{codeexample}
+
+
+\include{pgfmanual-base-design}
+\include{pgfmanual-base-scopes}
+\include{pgfmanual-base-points}
+\include{pgfmanual-base-paths}
+\include{pgfmanual-base-actions}
+\include{pgfmanual-base-arrows}
+\include{pgfmanual-base-nodes}
+\include{pgfmanual-base-transformations}
+\include{pgfmanual-base-images}
+\include{pgfmanual-base-shadings}
+\include{pgfmanual-base-plots}
+\include{pgfmanual-base-layers}
+\include{pgfmanual-base-quick}
+
+
+
+
+\part{The System Layer}
+\label{part-system}
+
+This part describes the low-level interface of \pgfname, called the
+\emph{system layer}. This interface provides a complete abstraction of
+the internals of the underlying drivers.
+
+Unless you intend to port \pgfname\ to another driver or unless you intend
+to write your own optimized frontend, you need not read this part.
+
+In the following it is assumed that you are familiar with the basic
+workings of the |graphics| package and that you know what
+\TeX-drivers are and how they work.
+
+\vskip1cm
+\begin{codeexample}[graphic=white]
+\begin{tikzpicture}[shorten >=1pt,->]
+ \tikzstyle{vertex}=[circle,fill=black!25,minimum size=17pt,inner sep=0pt]
+
+ \foreach \name/\x in {s/1, 2/2, 3/3, 4/4, 15/11, 16/12, 17/13, 18/14, 19/15, t/16}
+ \node[vertex] (G-\name) at (\x,0) {$\name$};
+
+ \foreach \name/\angle/\text in {P-1/234/5, P-2/162/6, P-3/90/7, P-4/18/8, P-5/-54/9}
+ \node[vertex,xshift=6cm,yshift=.5cm] (\name) at (\angle:1cm) {$\text$};
+
+ \foreach \name/\angle/\text in {Q-1/234/10, Q-2/162/11, Q-3/90/12, Q-4/18/13, Q-5/-54/14}
+ \node[vertex,xshift=9cm,yshift=.5cm] (\name) at (\angle:1cm) {$\text$};
+
+ \foreach \from/\to in {s/2,2/3,3/4,3/4,15/16,16/17,17/18,18/19,19/t}
+ \draw (G-\from) -- (G-\to);
+
+ \foreach \from/\to in {1/2,2/3,3/4,4/5,5/1,1/3,2/4,3/5,4/1,5/2}
+ { \draw (P-\from) -- (P-\to); \draw (Q-\from) -- (Q-\to); }
+
+ \draw (G-3) .. controls +(-30:2cm) and +(-150:1cm) .. (Q-1);
+ \draw (Q-5) -- (G-15);
+\end{tikzpicture}
+\end{codeexample}
+
+\include{pgfmanual-pgfsys-overview}
+\include{pgfmanual-pgfsys-commands}
+\include{pgfmanual-pgfsys-paths}
+\include{pgfmanual-pgfsys-protocol}
+
+
+
+\part{References and Index}
+
+\vskip1cm
+\begin{codeexample}[graphic=white]
+\begin{tikzpicture}
+ \draw[line width=0.3cm,color=red!30,cap=round,join=round] (0,0)--(2,0)--(2,5);
+ \draw[help lines] (-2.5,-2.5) grid (5.5,7.5);
+ \draw[very thick] (1,-1)--(-1,-1)--(-1,1)--(0,1)--(0,0)--
+ (1,0)--(1,-1)--(3,-1)--(3,2)--(2,2)--(2,3)--(3,3)--
+ (3,5)--(1,5)--(1,4)--(0,4)--(0,6)--(1,6)--(1,5)
+ (3,3)--(4,3)--(4,5)--(3,5)--(3,6)
+ (3,-1)--(4,-1);
+ \draw[below left] (0,0) node(s){$s$};
+ \draw[below left] (2,5) node(t){$t$};
+ \fill (0,0) circle (0.06cm) (2,5) circle (0.06cm);
+ \draw[->,rounded corners=0.2cm,shorten >=2pt]
+ (1.5,0.5)-- ++(0,-1)-- ++(1,0)-- ++(0,2)-- ++(-1,0)-- ++(0,2)-- ++(1,0)--
+ ++(0,1)-- ++(-1,0)-- ++(0,-1)-- ++(-2,0)-- ++(0,3)-- ++(2,0)-- ++(0,-1)--
+ ++(1,0)-- ++(0,1)-- ++(1,0)-- ++(0,-1)-- ++(1,0)-- ++(0,-3)-- ++(-2,0)--
+ ++(1,0)-- ++(0,-3)-- ++(1,0)-- ++(0,-1)-- ++(-6,0)-- ++(0,3)-- ++(2,0)--
+ ++(0,-1)-- ++(1,0);
+\end{tikzpicture}
+\end{codeexample}
+
+\printindex
+
+\end{document}
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-asymptotic-example.gnuplot b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-asymptotic-example.gnuplot
new file mode 100644
index 00000000000..4c854afda9f
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-asymptotic-example.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgf-asymptotic-example.table"; set format "%.5f"
+set samples 200; set parametric; plot [t=0.4:1.5] (t*t*t)*sin(1/(t*t*t)),(t*t*t)*cos(1/(t*t*t))
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-asymptotic-example.table b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-asymptotic-example.table
new file mode 100644
index 00000000000..173ab5e9c77
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-asymptotic-example.table
@@ -0,0 +1,204 @@
+#Curve 0, 200 points
+#x y type
+0.00530 -0.06378 i
+0.04363 -0.05043 i
+0.06711 -0.01790 i
+0.06896 0.02170 i
+0.05014 0.05606 i
+0.01712 0.07631 i
+-0.02110 0.07849 i
+-0.05579 0.06337 i
+-0.08032 0.03512 i
+-0.09097 -0.00029 i
+-0.08696 -0.03664 i
+-0.06987 -0.06850 i
+-0.04284 -0.09192 i
+-0.00982 -0.10460 i
+0.02515 -0.10585 i
+0.05841 -0.09629 i
+0.08703 -0.07749 i
+0.10892 -0.05162 i
+0.12282 -0.02111 i
+0.12828 0.01163 i
+0.12547 0.04436 i
+0.11507 0.07518 i
+0.09810 0.10255 i
+0.07579 0.12534 i
+0.04948 0.14280 i
+0.02048 0.15454 i
+-0.00995 0.16043 i
+-0.04065 0.16063 i
+-0.07063 0.15545 i
+-0.09905 0.14536 i
+-0.12521 0.13092 i
+-0.14860 0.11273 i
+-0.16882 0.09143 i
+-0.18562 0.06764 i
+-0.19885 0.04197 i
+-0.20848 0.01500 i
+-0.21454 -0.01276 i
+-0.21712 -0.04083 i
+-0.21637 -0.06879 i
+-0.21247 -0.09627 i
+-0.20565 -0.12295 i
+-0.19613 -0.14858 i
+-0.18415 -0.17294 i
+-0.16996 -0.19585 i
+-0.15379 -0.21718 i
+-0.13589 -0.23682 i
+-0.11647 -0.25471 i
+-0.09576 -0.27080 i
+-0.07396 -0.28508 i
+-0.05126 -0.29753 i
+-0.02783 -0.30819 i
+-0.00384 -0.31707 i
+0.02057 -0.32421 i
+0.04526 -0.32967 i
+0.07011 -0.33350 i
+0.09502 -0.33576 i
+0.11989 -0.33651 i
+0.14463 -0.33582 i
+0.16917 -0.33376 i
+0.19345 -0.33040 i
+0.21741 -0.32580 i
+0.24100 -0.32003 i
+0.26418 -0.31315 i
+0.28691 -0.30524 i
+0.30918 -0.29634 i
+0.33096 -0.28653 i
+0.35222 -0.27585 i
+0.37297 -0.26437 i
+0.39318 -0.25213 i
+0.41285 -0.23918 i
+0.43197 -0.22557 i
+0.45056 -0.21134 i
+0.46860 -0.19654 i
+0.48611 -0.18119 i
+0.50309 -0.16535 i
+0.51954 -0.14904 i
+0.53547 -0.13229 i
+0.55090 -0.11514 i
+0.56582 -0.09761 i
+0.58026 -0.07972 i
+0.59422 -0.06150 i
+0.60772 -0.04298 i
+0.62076 -0.02416 i
+0.63336 -0.00508 i
+0.64554 0.01425 i
+0.65729 0.03382 i
+0.66864 0.05361 i
+0.67960 0.07361 i
+0.69018 0.09381 i
+0.70039 0.11420 i
+0.71024 0.13475 i
+0.71975 0.15548 i
+0.72892 0.17636 i
+0.73778 0.19739 i
+0.74632 0.21857 i
+0.75456 0.23989 i
+0.76251 0.26134 i
+0.77018 0.28291 i
+0.77759 0.30461 i
+0.78473 0.32643 i
+0.79162 0.34837 i
+0.79826 0.37042 i
+0.80468 0.39258 i
+0.81087 0.41485 i
+0.81684 0.43723 i
+0.82261 0.45972 i
+0.82817 0.48232 i
+0.83354 0.50502 i
+0.83872 0.52782 i
+0.84372 0.55073 i
+0.84855 0.57374 i
+0.85321 0.59686 i
+0.85772 0.62009 i
+0.86206 0.64342 i
+0.86626 0.66685 i
+0.87032 0.69040 i
+0.87423 0.71405 i
+0.87801 0.73781 i
+0.88167 0.76169 i
+0.88520 0.78567 i
+0.88861 0.80977 i
+0.89191 0.83398 i
+0.89510 0.85831 i
+0.89818 0.88276 i
+0.90115 0.90733 i
+0.90403 0.93202 i
+0.90682 0.95683 i
+0.90951 0.98177 i
+0.91211 1.00683 i
+0.91463 1.03202 i
+0.91707 1.05735 i
+0.91942 1.08280 i
+0.92171 1.10839 i
+0.92391 1.13411 i
+0.92605 1.15998 i
+0.92812 1.18598 i
+0.93012 1.21213 i
+0.93205 1.23842 i
+0.93393 1.26485 i
+0.93575 1.29143 i
+0.93751 1.31817 i
+0.93921 1.34505 i
+0.94086 1.37209 i
+0.94246 1.39929 i
+0.94401 1.42664 i
+0.94552 1.45415 i
+0.94697 1.48183 i
+0.94838 1.50967 i
+0.94975 1.53767 i
+0.95108 1.56584 i
+0.95236 1.59418 i
+0.95361 1.62270 i
+0.95482 1.65138 i
+0.95600 1.68025 i
+0.95713 1.70928 i
+0.95824 1.73850 i
+0.95931 1.76790 i
+0.96035 1.79748 i
+0.96136 1.82725 i
+0.96234 1.85720 i
+0.96329 1.88735 i
+0.96422 1.91768 i
+0.96511 1.94820 i
+0.96598 1.97892 i
+0.96683 2.00983 i
+0.96765 2.04094 i
+0.96845 2.07225 i
+0.96922 2.10376 i
+0.96998 2.13547 i
+0.97071 2.16739 i
+0.97142 2.19952 i
+0.97211 2.23185 i
+0.97278 2.26439 i
+0.97344 2.29714 i
+0.97407 2.33010 i
+0.97469 2.36328 i
+0.97529 2.39667 i
+0.97588 2.43028 i
+0.97644 2.46411 i
+0.97700 2.49817 i
+0.97754 2.53244 i
+0.97806 2.56694 i
+0.97857 2.60166 i
+0.97906 2.63661 i
+0.97955 2.67179 i
+0.98001 2.70720 i
+0.98047 2.74284 i
+0.98092 2.77871 i
+0.98135 2.81482 i
+0.98177 2.85117 i
+0.98218 2.88775 i
+0.98258 2.92457 i
+0.98297 2.96163 i
+0.98335 2.99894 i
+0.98372 3.03649 i
+0.98408 3.07428 i
+0.98443 3.11232 i
+0.98477 3.15061 i
+0.98511 3.18914 i
+0.98543 3.22793 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-exp.gnuplot b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-exp.gnuplot
new file mode 100644
index 00000000000..1d34e313af8
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-exp.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgf-exp.table"; set format "%.5f"
+set samples 25; plot [x=0:4] 0.05*exp(x)
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-exp.table b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-exp.table
new file mode 100644
index 00000000000..8e728570397
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-exp.table
@@ -0,0 +1,29 @@
+#Curve 0, 25 points
+#x y type
+0.00000 0.05000 i
+0.16667 0.05907 i
+0.33333 0.06978 i
+0.50000 0.08244 i
+0.66667 0.09739 i
+0.83333 0.11505 i
+1.00000 0.13591 i
+1.16667 0.16056 i
+1.33333 0.18968 i
+1.50000 0.22408 i
+1.66667 0.26472 i
+1.83333 0.31274 i
+2.00000 0.36945 i
+2.16667 0.43646 i
+2.33333 0.51561 i
+2.50000 0.60912 i
+2.66667 0.71960 i
+2.83333 0.85010 i
+3.00000 1.00428 i
+3.16667 1.18641 i
+3.33333 1.40158 i
+3.50000 1.65577 i
+3.66667 1.95606 i
+3.83333 2.31082 i
+4.00000 2.72991 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-parametric-example.gnuplot b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-parametric-example.gnuplot
new file mode 100644
index 00000000000..e1c3f3b52f2
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-parametric-example.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgf-parametric-example.table"; set format "%.5f"
+set samples 25; set parametric; plot [t=-3.141:3.141] t*sin(t),t*cos(t)
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-parametric-example.table b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-parametric-example.table
new file mode 100644
index 00000000000..de0c383ddde
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-parametric-example.table
@@ -0,0 +1,29 @@
+#Curve 0, 25 points
+#x y type
+0.00186 3.14100 i
+0.74672 2.78074 i
+1.30987 2.26617 i
+1.66651 1.66503 i
+1.81387 1.04628 i
+1.76998 0.47361 i
+1.57050 -0.00047 i
+1.26407 -0.33904 i
+0.90663 -0.52368 i
+0.55517 -0.55534 i
+0.26171 -0.45339 i
+0.06773 -0.25283 i
+0.00000 -0.00000 i
+0.06773 0.25283 i
+0.26171 0.45339 i
+0.55517 0.55534 i
+0.90663 0.52368 i
+1.26407 0.33904 i
+1.57050 0.00047 i
+1.76998 -0.47361 i
+1.81387 -1.04628 i
+1.66651 -1.66503 i
+1.30987 -2.26617 i
+0.74672 -2.78074 i
+0.00186 -3.14100 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-sin.gnuplot b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-sin.gnuplot
new file mode 100644
index 00000000000..884d534bf4a
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-sin.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgf-sin.table"; set format "%.5f"
+set samples 25; plot [x=0:4] sin(x)
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-sin.table b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-sin.table
new file mode 100644
index 00000000000..9ab8f2c8d56
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-sin.table
@@ -0,0 +1,29 @@
+#Curve 0, 25 points
+#x y type
+0.00000 0.00000 i
+0.16667 0.16590 i
+0.33333 0.32719 i
+0.50000 0.47943 i
+0.66667 0.61837 i
+0.83333 0.74018 i
+1.00000 0.84147 i
+1.16667 0.91944 i
+1.33333 0.97194 i
+1.50000 0.99749 i
+1.66667 0.99541 i
+1.83333 0.96573 i
+2.00000 0.90930 i
+2.16667 0.82766 i
+2.33333 0.72309 i
+2.50000 0.59847 i
+2.66667 0.45727 i
+2.83333 0.30340 i
+3.00000 0.14112 i
+3.16667 -0.02507 i
+3.33333 -0.19057 i
+3.50000 -0.35078 i
+3.66667 -0.50128 i
+3.83333 -0.63788 i
+4.00000 -0.75680 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-x.gnuplot b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-x.gnuplot
new file mode 100644
index 00000000000..bb95994cd89
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-x.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgf-x.table"; set format "%.5f"
+set samples 25; plot [x=0:4] x
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-x.table b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-x.table
new file mode 100644
index 00000000000..329b9fa56b5
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgf-x.table
@@ -0,0 +1,29 @@
+#Curve 0, 25 points
+#x y type
+0.00000 0.00000 i
+0.16667 0.16667 i
+0.33333 0.33333 i
+0.50000 0.50000 i
+0.66667 0.66667 i
+0.83333 0.83333 i
+1.00000 1.00000 i
+1.16667 1.16667 i
+1.33333 1.33333 i
+1.50000 1.50000 i
+1.66667 1.66667 i
+1.83333 1.83333 i
+2.00000 2.00000 i
+2.16667 2.16667 i
+2.33333 2.33333 i
+2.50000 2.50000 i
+2.66667 2.66667 i
+2.83333 2.83333 i
+3.00000 3.00000 i
+3.16667 3.16667 i
+3.33333 3.33333 i
+3.50000 3.50000 i
+3.66667 3.66667 i
+3.83333 3.83333 i
+4.00000 4.00000 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfmanual-sine.gnuplot b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfmanual-sine.gnuplot
new file mode 100644
index 00000000000..8e3f24b9172
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfmanual-sine.gnuplot
@@ -0,0 +1,5 @@
+set terminal table
+set output "pgfmanual-sine.table"
+set format "%.5f"
+set samples 20
+plot [x=0:10] sin(x)
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfmanual-sine.table b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfmanual-sine.table
new file mode 100644
index 00000000000..9d5d248a561
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfmanual-sine.table
@@ -0,0 +1,24 @@
+#Curve 0, 20 points
+#x y type
+0.00000 0.00000 i
+0.52632 0.50235 i
+1.05263 0.86873 i
+1.57895 0.99997 i
+2.10526 0.86054 i
+2.63158 0.48819 i
+3.15789 -0.01630 i
+3.68421 -0.51638 i
+4.21053 -0.87669 i
+4.73684 -0.99970 i
+5.26316 -0.85212 i
+5.78947 -0.47390 i
+6.31579 0.03260 i
+6.84211 0.53027 i
+7.36842 0.88441 i
+7.89474 0.99917 i
+8.42105 0.84348 i
+8.94737 0.45948 i
+9.47368 -0.04889 i
+10.00000 -0.54402 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfplotgnuplot-example.gnuplot b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfplotgnuplot-example.gnuplot
new file mode 100644
index 00000000000..3bd81ae92d1
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfplotgnuplot-example.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgfplotgnuplot-example.table"; set format "%.5f"
+plot [x=0:3.5] x*sin(x)
diff --git a/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfplotgnuplot-example.table b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfplotgnuplot-example.table
new file mode 100644
index 00000000000..a4e517898a8
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/text-en/plots/pgfplotgnuplot-example.table
@@ -0,0 +1,104 @@
+#Curve 0, 100 points
+#x y type
+0.00000 0.00000 i
+0.03535 0.00125 i
+0.07071 0.00500 i
+0.10606 0.01123 i
+0.14141 0.01993 i
+0.17677 0.03108 i
+0.21212 0.04466 i
+0.24747 0.06062 i
+0.28283 0.07893 i
+0.31818 0.09954 i
+0.35354 0.12240 i
+0.38889 0.14745 i
+0.42424 0.17463 i
+0.45960 0.20387 i
+0.49495 0.23509 i
+0.53030 0.26822 i
+0.56566 0.30318 i
+0.60101 0.33986 i
+0.63636 0.37817 i
+0.67172 0.41803 i
+0.70707 0.45932 i
+0.74242 0.50194 i
+0.77778 0.54577 i
+0.81313 0.59069 i
+0.84848 0.63660 i
+0.88384 0.68337 i
+0.91919 0.73086 i
+0.95455 0.77896 i
+0.98990 0.82753 i
+1.02525 0.87643 i
+1.06061 0.92554 i
+1.09596 0.97471 i
+1.13131 1.02381 i
+1.16667 1.07269 i
+1.20202 1.12121 i
+1.23737 1.16923 i
+1.27273 1.21661 i
+1.30808 1.26320 i
+1.34343 1.30886 i
+1.37879 1.35345 i
+1.41414 1.39682 i
+1.44949 1.43884 i
+1.48485 1.47937 i
+1.52020 1.51826 i
+1.55556 1.55537 i
+1.59091 1.59059 i
+1.62626 1.62376 i
+1.66162 1.65477 i
+1.69697 1.68348 i
+1.73232 1.70977 i
+1.76768 1.73353 i
+1.80303 1.75463 i
+1.83838 1.77296 i
+1.87374 1.78841 i
+1.90909 1.80089 i
+1.94444 1.81028 i
+1.97980 1.81650 i
+2.01515 1.81946 i
+2.05051 1.81906 i
+2.08586 1.81524 i
+2.12121 1.80792 i
+2.15657 1.79704 i
+2.19192 1.78252 i
+2.22727 1.76433 i
+2.26263 1.74240 i
+2.29798 1.71671 i
+2.33333 1.68720 i
+2.36869 1.65386 i
+2.40404 1.61667 i
+2.43939 1.57560 i
+2.47475 1.53066 i
+2.51010 1.48184 i
+2.54545 1.42915 i
+2.58081 1.37260 i
+2.61616 1.31223 i
+2.65152 1.24805 i
+2.68687 1.18011 i
+2.72222 1.10845 i
+2.75758 1.03312 i
+2.79293 0.95418 i
+2.82828 0.87170 i
+2.86364 0.78576 i
+2.89899 0.69642 i
+2.93434 0.60380 i
+2.96970 0.50797 i
+3.00505 0.40904 i
+3.04040 0.30713 i
+3.07576 0.20235 i
+3.11111 0.09482 i
+3.14646 -0.01533 i
+3.18182 -0.12796 i
+3.21717 -0.24292 i
+3.25253 -0.36007 i
+3.28788 -0.47926 i
+3.32323 -0.60032 i
+3.35859 -0.72308 i
+3.39394 -0.84739 i
+3.42929 -0.97305 i
+3.46465 -1.09990 i
+3.50000 -1.22774 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/en/Makefile b/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/en/Makefile
new file mode 100644
index 00000000000..03339db36ac
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/en/Makefile
@@ -0,0 +1,19 @@
+rerun = "(There were undefined references|Rerun to get (cross-references|the bars) right)"
+doc = pgfmanual
+latex = elatex
+
+all: $(doc).pdf
+
+pgfmanual.idx:
+ touch pgfmanual.idx
+
+pgfmanual.ind: pgfmanual.idx
+ makeindex $(doc).idx
+
+pgfmanual.pdf: $(doc).tex $(doc).ind
+ ($(latex) $(doc).tex) || true
+ (egrep -q $(rerun) $(doc).log && $(latex) $(doc).tex) || true
+ dvipdfm $(doc)
+
+clean:
+ rm -f *.aux *.log *.bbl *.blg *.ps *.dvi *.pdf *.toc *.out *.snm
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
new file mode 100644
index 00000000000..3041815f062
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/en/pgfmanual.tex
@@ -0,0 +1,13 @@
+\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
+
+\input{../pgfmanual-dvipdfm.cfg}
+\input{../../text-en/pgfmanual-en-main.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
new file mode 100644
index 00000000000..c200ff058db
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-dvipdfm/pgfmanual-dvipdfm.cfg
@@ -0,0 +1,12 @@
+% 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.
+
+% Nothing to be done...
+
+\usepackage[dvipdfm]{graphics}
+% This will tell everyone which driver we are using.
+
+% Make sure to compile this using elatex + dvipdfm.
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-dvips/en/Makefile b/Master/texmf-dist/doc/generic/pgf/version-for-dvips/en/Makefile
new file mode 100644
index 00000000000..d6ec37364e7
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-dvips/en/Makefile
@@ -0,0 +1,20 @@
+rerun = "(There were undefined references|Rerun to get (cross-references|the bars) right)"
+doc = pgfmanual
+latex = elatex
+
+all: $(doc).ps
+
+pgfmanual.idx:
+ touch pgfmanual.idx
+
+pgfmanual.ind: pgfmanual.idx
+ makeindex $(doc).idx
+
+pgfmanual.ps: $(doc).tex $(doc).ind
+ $(latex) $(doc).tex
+ (egrep -q $(rerun) $(doc).log && $(latex) $(doc).tex) || true
+ dvips -o $(doc).ps $(doc).dvi
+ gs -dNOPAUSE -sDEVICE=pdfwrite -dBATCH -dCompatibilityLevel=1.4 -sOutputFile=$(doc).pdf $(doc).ps
+
+clean:
+ rm -f *.aux *.log *.bbl *.blg *.ps *.dvi *.pdf *.toc *.out *.snm
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
new file mode 100644
index 00000000000..1dce39ba66e
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-dvips/en/pgfmanual.tex
@@ -0,0 +1,13 @@
+\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
+
+\input{../pgfmanual-dvips.cfg}
+\input{../../text-en/pgfmanual-en-main.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
new file mode 100644
index 00000000000..de20c4135aa
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-dvips/pgfmanual-dvips.cfg
@@ -0,0 +1,10 @@
+% 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.
+
+\usepackage[dvips]{graphics}
+\usepackage{hyperref}
+
+% Just make sure that you compile this using elatex + dvips
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
new file mode 100644
index 00000000000..477c9e37103
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/Makefile
@@ -0,0 +1,18 @@
+rerun = "(There were undefined references|Rerun to get (cross-references|the bars) right)"
+doc = pgfmanual
+latex = pdfelatex
+
+all: $(doc).pdf
+
+pgfmanual.idx:
+ touch pgfmanual.idx
+
+pgfmanual.ind: pgfmanual.idx
+ makeindex $(doc).idx
+
+pgfmanual.pdf: $(doc).tex $(doc).ind
+ $(latex) $(doc).tex
+ (egrep -q $(rerun) $(doc).log && $(latex) $(doc).tex) || true
+
+clean:
+ rm -f *.aux *.log *.bbl *.blg *.ps *.dvi *.pdf *.toc *.out *.snm
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
new file mode 100644
index 00000000000..aa87bce608b
--- /dev/null
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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
new file mode 100644
index 00000000000..489a510bf91
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/en/pgfmanual.tex
@@ -0,0 +1,13 @@
+\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
+
+\input{../pgfmanual-pdftex.cfg}
+\input{../../text-en/pgfmanual-en-main.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
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index 00000000000..339f4e108de
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-pdftex/pgfmanual-pdftex.cfg
@@ -0,0 +1,10 @@
+% 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.
+
+
+\usepackage[pdfborder={0 0 0}]{hyperref}
+
+% Just make sure to compile this using pdfelatex.
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/Makefile b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/Makefile
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index 00000000000..a1dea1c4d33
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/Makefile
@@ -0,0 +1,15 @@
+doc = pgfmanual
+
+all: $(doc).html
+
+pgfmanual.idx:
+ touch pgfmanual.idx
+
+pgfmanual.ind: pgfmanual.idx
+ makeindex $(doc).idx
+
+pgfmanual.html: $(doc).tex $(doc).ind
+ htlatex $(doc).tex
+
+clean:
+ rm -f *.aux *.log *.bbl *.blg *.ps *.dvi *.pdf *.toc *.out *.snm *.html *.svg
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+ <g fill="rgb(100.0%,0.0%,0.0%)">
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+red</text>
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-231.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-231.svg
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+ <g fill="rgb(0.0%,0.0%,0.0%)">
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+ <g>
+ <path d=" M 28.45274 0.0 L 56.90549 28.45274 " style="fill:none"/>
+ <g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,46.04445,31.98572)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(10.86104pt,0pt)" text-anchor="middle" font-size="10">
+<tspan font-family="cmti" font-size="10">italic</tspan></text>
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-232.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-232.svg
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+ <g stroke="rgb(0.0%,0.0%,0.0%)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
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+ <g stroke-width="0.4pt">
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+ <path d=" M -20.39302 0.0 L 20.39302 0.0 " style="fill:none"/>
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+ <text style="stroke:none" transform="scale(1,-1) translate(10.22214pt,0pt)" text-anchor="middle" font-size="10">
+<tspan font-family="cmti" font-size="10">state</tspan></text>
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+<tspan font-family="cmr" font-size="8">output</tspan></text>
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+ </g>
+ </g>
+
+ </g>
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-233.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-233.svg
new file mode 100644
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+<svg width="92.0242pt" height="61.61038pt" viewBox="-46.0121 -30.80519 92.0242 61.61038 ">
+<g transform="translate(0,30.80519pt) scale(1,-1) translate(0,30.80519pt)">
+ <g stroke="rgb(0.0%,0.0%,0.0%)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <g>
+ <g stroke-width="0.4pt">
+ <g>
+ </g>
+ <g>
+ <path d=" M 0.0 0.0 " style="fill:none"/>
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <path d=" M -46.0121 -30.80519 h 92.0242 v 61.61038 h -92.0242 Z " style="stroke:none"/>
+ </g>
+ </g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-42.67912,27.47221)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(42.67912pt,0pt)" text-anchor="middle" font-size="10">
+<!--l. 1--><p class="noindent">This is a
+demonstration
+text for showing
+how line breaking
+works.</text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+
+ </g>
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-234.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-234.svg
new file mode 100644
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+<g transform="translate(0,30.80519pt) scale(1,-1) translate(0,30.80519pt)">
+ <g stroke="rgb(0.0%,0.0%,0.0%)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <g>
+ <g stroke-width="0.4pt">
+ <g>
+ </g>
+ <g>
+ <path d=" M 0.0 0.0 " style="fill:none"/>
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <path d=" M -46.0121 -30.80519 h 92.0242 v 61.61038 h -92.0242 Z " style="stroke:none"/>
+ </g>
+ </g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-42.67912,27.47221)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(42.67912pt,0pt)" text-anchor="middle" font-size="10">
+<!--l. 1--><p class="noindent">This
+is a demonstration
+text for showing
+how line breaking
+works.</text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+
+ </g>
+</svg>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-235.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-235.svg
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+<svg width="92.0242pt" height="61.61038pt" viewBox="-46.0121 -30.80519 92.0242 61.61038 ">
+<g transform="translate(0,30.80519pt) scale(1,-1) translate(0,30.80519pt)">
+ <g stroke="rgb(0.0%,0.0%,0.0%)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <g>
+ <g stroke-width="0.4pt">
+ <g>
+ </g>
+ <g>
+ <path d=" M 0.0 0.0 " style="fill:none"/>
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <path d=" M -46.0121 -30.80519 h 92.0242 v 61.61038 h -92.0242 Z " style="stroke:none"/>
+ </g>
+ </g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-42.67912,27.47221)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(42.67912pt,0pt)" text-anchor="middle" font-size="10">
+<!--l. 1--><p class="noindent">This is a
+demonstration
+text for showing
+how line breaking
+works.</text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+
+ </g>
+</svg>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-236.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-236.svg
new file mode 100644
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+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-236.svg
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+<svg width="92.0242pt" height="133.61038pt" viewBox="-46.0121 -66.80519 92.0242 133.61038 ">
+<g transform="translate(0,66.80519pt) scale(1,-1) translate(0,66.80519pt)">
+ <g stroke="rgb(0.0%,0.0%,0.0%)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <g>
+ <g stroke-width="0.4pt">
+ <g>
+ </g>
+ <g>
+ <path d=" M 0.0 0.0 " style="fill:none"/>
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <path d=" M -46.0121 -66.80519 h 92.0242 v 133.61038 h -92.0242 Z " style="stroke:none"/>
+ </g>
+ </g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-42.67912,63.47221)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(42.67912pt,0pt)" text-anchor="middle" font-size="10">
+<!--l. 1--><p class="noindent">This
+is
+a
+demonstration
+text
+for
+showing
+how
+line
+breaking
+works.</text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+
+ </g>
+</svg>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-237.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-237.svg
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+<g transform="translate(0,31.77742pt) scale(1,-1) translate(0,31.77742pt)">
+ <g stroke="rgb(0.0%,0.0%,0.0%)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <g>
+ <g stroke-width="0.4pt">
+ <g>
+ </g>
+ <g>
+ <path d=" M 0.0 0.0 " style="fill:none"/>
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <path d=" M -46.0121 -31.77742 h 92.0242 v 63.55484 h -92.0242 Z " style="stroke:none"/>
+ </g>
+ </g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-42.67912,28.44444)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(42.67912pt,0pt)" text-anchor="middle" font-size="10">
+ <!--l. 1--><p class="noindent">This is a
+ demonstration
+ text for showing
+ how line
+ breaking works.</text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+
+ </g>
+</svg>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-238.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-238.svg
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+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-238.svg
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+<g transform="translate(0,66.80519pt) scale(1,-1) translate(0,66.80519pt)">
+ <g stroke="rgb(0.0%,0.0%,0.0%)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <g>
+ <g stroke-width="0.4pt">
+ <g>
+ </g>
+ <g>
+ <path d=" M 0.0 0.0 " style="fill:none"/>
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <g>
+ <g fill="rgb(80.0003%,80.0003%,16.00037%)">
+ <path d=" M -46.0121 -66.80519 h 92.0242 v 133.61038 h -92.0242 Z " style="stroke:none"/>
+ </g>
+ </g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-42.67912,63.47221)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(42.67912pt,0pt)" text-anchor="middle" font-size="10">
+ <!--l. 1--><p class="noindent">This
+ is
+ a
+ demonstration
+ text
+ for
+ showing
+ how
+ line
+ breaking
+ works.</text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+
+ </g>
+</svg>
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new file mode 100644
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+ <g fill="rgb(0.0%,0.0%,0.0%)">
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+ <g stroke-width="0.4pt">
+ <g>
+ </g>
+ <g>
+ <g>
+ <g fill="rgb(75.0%,75.0%,100.0%)">
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+ <path d=" M -71.13188 -28.45274 h 142.26376 v 56.90549 h -142.26376 Z " style="stroke:none"/>
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+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(19.51393pt,0pt)" text-anchor="middle" font-size="10">
+Big node</text>
+</g>
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+ <tspan font-family="cmsy" font-size="10">-</tspan> <img
+src="pgfmanual1x.gif" alt="12" class="frac" align="middle"></text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ <path d=" M 3.0 42.6791 L -3.0 42.6791 " 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 -16.25206 33.3977 h 13.05206 v 18.56277 h -13.05206 Z " style="stroke:none"/>
+ </g>
+ </g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-12.91908,40.17908)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(3.19305pt,0pt)" text-anchor="middle" font-size="10">
+<img
+src="pgfmanual2x.gif" alt="12" class="frac" align="middle"></text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ <path d=" M 3.0 85.35823 L -3.0 85.35823 " 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 -14.86595 78.80304 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,-11.53297,82.13602)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(2.5pt,0pt)" text-anchor="middle" font-size="10">
+1</text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ <g>
+ <g fill="rgb(80.0003%,100.0%,80.0003%)">
+ <g stroke="rgb(0.0%,50.0%,0.0%)">
+ <path d=" M 0.0 0.0 L 25.60744 0.0 C 25.60744 4.60936 24.48138 8.8119 22.17673 12.8037 " />
+ </g>
+ </g>
+ </g>
+ <path d=" M 16.48993 4.41843 " style="fill:none"/>
+ <g>
+ <g stroke="rgb(0.0%,50.0%,0.0%)">
+ <g fill="rgb(0.0%,50.0%,0.0%)">
+ <g>
+ <g stroke="rgb(0.0%,50.0%,0.0%)">
+ <g fill="rgb(0.0%,50.0%,0.0%)">
+ </g>
+ </g>
+ </g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,13.27292,2.26566)">
+ <g fill="rgb(0.0%,50.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(3.21701pt,0pt)" text-anchor="middle" font-size="10">
+<tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan></text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ <g>
+ <g stroke-width="1.2pt">
+ <g stroke="rgb(100.0%,0.0%,0.0%)">
+ <g fill="rgb(100.0%,0.0%,0.0%)">
+ <path d=" M 73.92256 42.6791 L 73.92256 0.0 " 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 43.61154 14.6673 h 28.71103 v 13.34454 h -28.71103 Z " style="stroke:none"/>
+ </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(11.02254pt,0pt)" text-anchor="middle" font-size="10">
+ sin<tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan></text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ <g>
+ <g stroke-width="1.2pt">
+ <g stroke="rgb(0.0%,0.0%,100.0%)">
+ <g fill="rgb(0.0%,0.0%,100.0%)">
+ <path d=" M 0.0 0.0 L 73.92256 0.0 " 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 22.05019 -13.57149 h 29.82214 v 10.9715 h -29.82214 Z " style="stroke:none"/>
+ </g>
+ </g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,25.38316,-10.23851)">
+ <g fill="rgb(0.0%,0.0%,100.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(11.5781pt,0pt)" text-anchor="middle" font-size="10">
+ cos <tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan></text>
+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ <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(30.71727pt,0pt)" text-anchor="middle" font-size="10">
+ tan <tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" alt="a" class="10x-x-b" /></tspan> = <img
+src="pgfmanual3x.gif" alt="sina
+cosa-" class="frac" align="middle"></text>
+</g>
+ </g>
+ </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"/>
+ </g>
+ </g>
+ <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(85.35826pt,0pt)" text-anchor="middle" font-size="10">
+<!--l. 92--><p class="noindent">The angle <tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" 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.gif" alt="p" class="10x-x-19" />/</tspan>6 in radians). The sine of <tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" 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.gif" 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.gif" 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.gif" 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.gif" alt="a" class="10x-x-b" /></tspan>, must be
+cos<tspan font-family="cmmi" font-size="10"><img
+src="cmmi10-b.gif" 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.gif" 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.gif" 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>
+</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
new file mode 100644
index 00000000000..978e8e0088b
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+ <g fill="rgb(0.0%,0.0%,0.0%)">
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+ </g>
+ </g>
+ </g>
+
+ </g>
+</svg>
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
new file mode 100644
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-501.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-501.svg
new file mode 100644
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-502.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-502.svg
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-503.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-503.svg
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-559.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-559.svg
new file mode 100644
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-56.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-56.svg
new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-591.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-591.svg
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+ <g transform="matrix(1.0,0.0,0.0,1.0,24.50188,5.31355)">
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+ <g transform="matrix(1.0,0.0,0.0,1.0,-53.55252,-17.70811)">
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+ </g>
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+ </g>
+ <g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-81.71777,2.10194)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
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+<tspan font-family="cmssbx" font-size="10">10,4%</tspan></text>
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+ <g>
+ </g>
+ <path d=" M -1.43036 30.72397 L -1.43036 39.55156 L 182.07927 39.55156 " style="fill:none"/>
+ <g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-33.92917,44.83453)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(106.36273pt,0pt)" text-anchor="middle" font-size="9">
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+ <g>
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+ <g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,133.20633,10.34601)">
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+ <text style="stroke:none" transform="scale(1,-1) translate(22.79498pt,0pt)" text-anchor="middle" font-size="9">
+<tspan font-family="cmss" font-size="9">Kernenergie</tspan></text>
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+ </g>
+ </g>
+ </g>
+ <g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,133.42065,-3.96994)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(22.68782pt,0pt)" text-anchor="middle" font-size="9">
+<tspan font-family="cmss" font-size="8">(158,4 kWh)</tspan></text>
+</g>
+ </g>
+ </g>
+ </g>
+ <path d=" M 38.62715 -22.29561 L 38.62715 -47.90302 L 182.08835 -47.90302 " style="fill:none"/>
+ <g>
+ </g>
+ <g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,81.57391,-42.61786)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(48.61119pt,0pt)" text-anchor="middle" font-size="9">
+<tspan font-family="cmss" font-size="9">Braunkohle</tspan><tspan font-family="cmss" font-size="9">&nbsp;</tspan><tspan font-family="cmss" font-size="9">&nbsp;</tspan><tspan font-family="cmss" font-size="8">(146,0 kWh)</tspan></text>
+</g>
+ </g>
+ </g>
+ </g>
+ <path d=" M -38.62715 -22.29561 L -38.62715 -47.90302 L -227.61041 -47.90302 " style="fill:none"/>
+ <g>
+ </g>
+ <g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-224.31607,-42.61786)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(46.73274pt,0pt)" text-anchor="middle" font-size="9">
+<tspan font-family="cmss" font-size="9">Steinkohle</tspan><tspan font-family="cmss" font-size="9">&nbsp;</tspan><tspan font-family="cmss" font-size="9">&nbsp;</tspan><tspan font-family="cmss" font-size="8">(127,1 kWh)</tspan></text>
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+ </g>
+ </g>
+ </g>
+ <path d=" M -85.24649 2.10184 L -227.61041 2.10184 " style="fill:none"/>
+ <g>
+ </g>
+ <g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-224.31607,7.3847)">
+ <g fill="rgb(0.0%,0.0%,0.0%)">
+ <text style="stroke:none" transform="scale(1,-1) translate(37.88069pt,0pt)" text-anchor="middle" font-size="9">
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+ </g>
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+ </g>
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+ <g>
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+ <g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,-224.31607,22.01724)">
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+ <text style="stroke:none" transform="scale(1,-1) translate(75.16644pt,0pt)" text-anchor="middle" font-size="9">
+<tspan font-family="cmss" font-size="9">Mineral</tspan><tspan font-family="cmss" font-size="9">&ouml;lprodukte</tspan><tspan font-family="cmss" font-size="9">&nbsp;</tspan><tspan font-family="cmss" font-size="9">&nbsp;</tspan><tspan font-family="cmss" font-size="8">(9,2 kWh) </tspan><tspan font-family="cmss" font-size="8">&nbsp;</tspan><tspan font-family="cmss" font-size="8">&nbsp;</tspan><tspan font-family="cmssbx" font-size="10">1,6%</tspan></text>
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+ <g transform="matrix(1.0,0.0,0.0,1.0,-224.31607,44.83273)">
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+ <text style="stroke:none" transform="scale(1,-1) translate(77.90063pt,0pt)" text-anchor="middle" font-size="9">
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+</svg>
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-630.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-630.svg
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+
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-631.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-631.svg
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-632.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-632.svg
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+ <g clip-path="url(#pgfcp102)">
+ <g transform="matrix(1,0,0,1,28.45274,14.22636)">
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-633.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-633.svg
new file mode 100644
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+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-633.svg
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+<svg width="100.375pt" height="100.375pt" viewBox="0.0 0.0 100.375 100.375 ">
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+ <g>
+ <linearGradient id="pgfsh106" gradientTransform="rotate(90)">
+ <stop offset=" 0.0" stop-color=" rgb(100.0%,0.0%,0.0%) "/>
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-634.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-634.svg
new file mode 100644
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+<svg width="100.375pt" height="100.375pt" viewBox="0.0 0.0 100.375 100.375 ">
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+ </linearGradient>
+ <rect width="100.375pt" height="100.375pt" style="fill:url(#pgfsh106); stroke:none"/>
+ </g>
+ </g>
+</svg>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-635.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-635.svg
new file mode 100644
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diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-636.svg b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual-636.svg
new file mode 100644
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+ <g fill="rgb(100.0%,100.0%,100.0%)">
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+ <g>
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+third application</text>
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+<tspan font-family="cmmi" font-size="10">F</tspan></text>
+</g>
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+<tspan font-family="cmmi" font-size="10">A</tspan></text>
+</g>
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+ <text style="stroke:none" transform="scale(1,-1) translate(4.0434pt,0pt)" text-anchor="middle" font-size="10">
+<tspan font-family="cmmi" font-size="10">B</tspan></text>
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+ </g>
+ <g>
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+ <text style="stroke:none" transform="scale(1,-1) translate(3.93124pt,0pt)" text-anchor="middle" font-size="10">
+<tspan font-family="cmmi" font-size="10">C</tspan></text>
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+ <g>
+ <g>
+ <g transform="matrix(1.0,0.0,0.0,1.0,89.0912,45.86508)">
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+ <text style="stroke:none" transform="scale(1,-1) translate(4.27847pt,0pt)" text-anchor="middle" font-size="10">
+<tspan font-family="cmmi" font-size="10">D</tspan></text>
+</g>
+ </g>
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+ </g>
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+ </g>
+ </g>
+ <path d=" " style="fill:none"/>
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+src="cmmi10-e.gif" alt="d" class="10x-x-e" /></tspan>
+and <tspan font-family="cmmi" font-size="10"><img
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+</g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+ </g>
+
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+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 1.00</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">October 23, 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="57.70547pt" height="93.2714pt" 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="379.5989pt" height="112.06274pt" 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-304.svg" width="268.8559pt" height="267.25067pt" 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-311-" ><colgroup id="TBL-311-1g"><col
+id="TBL-311-1"></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"> <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-468.svg" width="220.79173pt" height="190.62785pt" 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-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{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-650.svg" width="443.79115pt" height="79.83185pt" 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-572-" ><colgroup id="TBL-572-1g"><col
+id="TBL-572-1"></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"> <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-651.svg" width="227.82191pt" height="284.7274pt" 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-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">\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, 141
+<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, 145
+<br><span
+class="cmtt-10">at start </span>style, 145
+<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, 142
+<br><span
+class="cmtt-10">below left </span>option, 142
+<br><span
+class="cmtt-10">below right </span>option, 142
+<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, 138
+<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>, 141
+<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>, 142
+<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
+class="cmtt-10">below left</span>, 142
+<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
+class="cmtt-10">below right</span>, 142
+<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>, 138
+<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>, 147
+<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
+class="cmtt-10">inner ysep</span>, 147
+<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>, 148
+<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>, 147
+<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
+class="cmtt-10">outer xsep</span>, 147
+<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
+class="cmtt-10">outer ysep</span>, 147
+<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>, 143
+<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>, 142, 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>, 144
+<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>, 140
+<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>, 139
+<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
+class="cmtt-10">text ragged</span>, 139
+<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>, 142
+<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, 147
+<br><span
+class="cmtt-10">inner ysep </span>option, 147
+<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, 144
+<br><span
+class="cmtt-10">minimum height </span>option, 148
+<br><span
+class="cmtt-10">minimum size </span>option, 148
+<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, 145
+<br><span
+class="cmtt-10">near start </span>style, 145
+<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, 147
+<br><span
+class="cmtt-10">outer xsep </span>option, 147
+<br><span
+class="cmtt-10">outer ysep </span>option, 147
+<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-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-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, 143
+<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, 142, 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, 144
+<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>, 145
+<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
+class="cmtt-10">at start</span>, 145
+<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>, 144
+<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
+class="cmtt-10">near end</span>, 145
+<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
+class="cmtt-10">near start</span>, 145
+<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>, 145
+<br>&nbsp;&nbsp;&nbsp;&nbsp;<span
+class="cmtt-10">very near start</span>, 145
+<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, 140
+<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, 139
+<br><span
+class="cmtt-10">text ragged </span>option, 139
+<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, 142
+<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, 145
+<br><span
+class="cmtt-10">very near start </span>style, 145
+<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
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--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanual.tex
@@ -0,0 +1,13 @@
+\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
+
+\input{../pgfmanual-tex4ht.cfg}
+\input{../../text-en/pgfmanual-en-main.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="2005-10-23 18:34:00">
+<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="20.4pt" height="6.4pt" 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="8.61108pt" height="8.61108pt" 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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+<!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="2005-10-23 18:34:00">
+<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="colorbox73"><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="colorbox74"><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="colorbox75"><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="colorbox76"><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="colorbox77"><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="colorbox78"><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="colorbox79"><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="colorbox80"><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="colorbox81"><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="8.61108pt" height="8.61108pt" 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="8.61108pt" height="8.61108pt" 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="67.30548pt" height="38.85274pt" 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="33.45274pt" height="11.45831pt" 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="28.55275pt" height="6.55832pt" 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="28.65273pt" height="6.6583pt" 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="28.85274pt" height="6.8583pt" 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="29.05275pt" height="7.05832pt" 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="29.25273pt" height="7.2583pt" 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="29.65273pt" height="7.6583pt" 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="30.05275pt" height="8.05832pt" 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="38.45274pt" height="38.45274pt" 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="109.58458pt" height="47.67911pt" 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="400.83841pt" height="33.45273pt" 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="99.98463pt" height="1.0pt" 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="99.98463pt" height="3.4pt" 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="50.4pt" height="1.0pt" 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="50.4pt" height="1.0pt" 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="50.4pt" height="1.0pt" 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="50.4pt" height="1.0pt" 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="50.4pt" height="1.0pt" 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="50.4pt" height="1.0pt" 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="50.4pt" height="1.0pt" 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="89.66377pt" height="32.75829pt" 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="42.67911pt" height="14.22636pt" 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="42.67911pt" height="14.22636pt" 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="42.67911pt" height="14.22636pt" 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="42.67911pt" height="14.22636pt" 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="42.67911pt" height="14.22636pt" 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="42.67911pt" height="14.22636pt" 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="42.67911pt" height="14.22636pt" 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="42.67911pt" height="14.22636pt" 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="42.67911pt" height="14.22636pt" 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="28.85274pt" height="8.9359pt" 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="102.83003pt" height="34.14363pt" 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.gif" 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="10.4pt" height="4.70554pt" 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="57.30548pt" height="52.0665pt" 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="99.5846pt" height="85.35822pt" 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="99.5846pt" height="85.35822pt" 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="37.74825pt" height="29.85274pt" 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="31.45274pt" height="31.45274pt" 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="88.25822pt" height="32.85274pt" 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="298.7538pt" height="42.67911pt" 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="303.7538pt" height="47.67911pt" 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="104.08243pt" height="143.72633pt" 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="91.86029pt" height="58.36807pt" 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="111.76569pt" height="118.36829pt" 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="105.99927pt" height="77.74084pt" 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="8.61108pt" height="8.61108pt" 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="9.01108pt" height="9.01108pt" 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="6.45831pt" height="6.45831pt" 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="28.85274pt" height="28.85274pt" 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="28.85274pt" height="28.85274pt" 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="28.85274pt" height="28.85274pt" 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="28.85272pt" height="28.85272pt" 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="28.85274pt" height="28.85274pt" 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="57.30548pt" height="28.85274pt" 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="57.30548pt" height="28.85274pt" 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="57.30548pt" height="28.85274pt" 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="57.30548pt" height="28.85274pt" 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="74.12766pt" height="17.22217pt" 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="28.85274pt" height="28.85274pt" 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="85.35823pt" height="28.45274pt" 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="92.75821pt" height="65.30547pt" 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="57.30548pt" height="57.30548pt" 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="56.90549pt" height="56.90549pt" 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="28.85274pt" height="28.85274pt" 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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@@ -0,0 +1,2727 @@
+<!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="2005-10-23 18:34:00">
+<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="84.6049pt" height="70.51587pt" 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="colorbox82"><span id="textcolor83"><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="textcolor84">...<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="85.5049pt" height="71.21587pt" 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="97.92332pt" height="90.71239pt" 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="42.81036pt" height="42.352pt" 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="46.05266pt" height="45.71931pt" 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="colorbox85"><span id="textcolor86"><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="textcolor87">...<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="colorbox88"><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="32.57529pt" height="32.57529pt" 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="31.57529pt" height="31.57529pt" 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="95.84955pt" height="42.46312pt" 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"> 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="dx12-139003"></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">font commands</span><span
+class="cmsy-10">&gt; </span>Sets the font used for 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="42.84676pt" height="42.46312pt" 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[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. 248--><p class="noindent">A perhaps more useful example is the following:
+ <!--l. 250--><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="41.58603pt" height="41.58603pt" 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">\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. 259--><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. 263--><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="dx12-139005"></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">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. 273--><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. 277--><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. 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-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="92.0242pt" height="61.61038pt" 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">\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="dx12-139007"></a><a
+ id="dx12-139008"></a> causes the text to be justified instead of (right)ragged. Use this only with pretty broad
+ nodes.
+ <!--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-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="92.0242pt" height="61.61038pt" 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,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. 294--><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="dx12-139009"></a><a
+ id="dx12-139010"></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. 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-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="92.0242pt" height="61.61038pt" 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;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="dx12-139011"></a><a
+ id="dx12-139012"></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. 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-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="92.0242pt" height="133.61038pt" 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;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="dx12-139013"></a><a
+ id="dx12-139014"></a> centers the text, but tries to balance the lines.
+ <!--l. 317--><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="92.0242pt" height="63.55484pt" 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;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="dx12-139015"></a><a
+ id="dx12-139016"></a> centers the text, without balancing the lines.
+ <!--l. 323--><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="92.0242pt" height="133.61038pt" 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;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. 331--><p class="noindent">
+ <h4 class="subsectionHead"><span class="titlemark">11.4 </span> <a
+ id="x12-14000011.4"></a>Placing Nodes Using Anchors</h4>
+<!--l. 333--><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. 337--><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. 346--><p class="noindent"><object data="pgfmanual-239.svg" width="201.82925pt" height="70.08255pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>
+<!--l. 357--><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. 364--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-240.svg" width="136.76814pt" height="49.06831pt" 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-239-" ><colgroup id="TBL-239-1g"><col
+id="TBL-239-1"></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"> <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. 369--><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. 378--><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. 384--><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. 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-240-" ><colgroup id="TBL-240-1g"><col
+id="TBL-240-1"><col
+id="TBL-240-2"></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"> &nbsp;<object data="pgfmanual-241.svg" width="119.10612pt" height="127.02264pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-240-1-2"
+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. 401--><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. 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-241-" ><colgroup id="TBL-241-1g"><col
+id="TBL-241-1"><col
+id="TBL-241-2"></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"> &nbsp;<object data="pgfmanual-242.svg" width="31.66602pt" height="15.81038pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-241-1-2"
+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. 414--><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="31.66602pt" height="17.81038pt" 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=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. 421--><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="51.36604pt" height="15.81038pt" 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</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. 424--><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="53.36604pt" height="17.81038pt" 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=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. 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-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="58.0605pt" height="17.75484pt" 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;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. 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-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="23.03264pt" height="13.61038pt" 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[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. 448--><p class="noindent">
+ <h4 class="subsectionHead"><span class="titlemark">11.5 </span> <a
+ id="x12-14100011.5"></a>Transformations</h4>
+<!--l. 450--><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. 455--><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. 459--><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. 472--><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="85.55821pt" height="73.91771pt" 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">\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. 488--><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. 490--><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. 501--><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. 515--><p class="noindent">Now, what is &#8220;the previous line&#8221;? This depends on the previous path construction operation.
+ <!--l. 518--><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. 520--><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="95.98787pt" height="40.49545pt" 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">\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. 525--><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. 536--><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="105.61761pt" height="98.46861pt" 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">&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. 541--><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. 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-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="96.39122pt" height="43.34091pt" 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">\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. 550--><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="104.52422pt" height="39.4278pt" 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. 555--><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. 563--><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="62.93848pt" height="104.50159pt" 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;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. 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-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="57.30548pt" height="40.73602pt" 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">\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. 576--><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. 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-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="104.6411pt" height="154.7531pt" 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">\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. 605--><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. 607--><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. 613--><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. 623--><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. 629--><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. 638--><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="92.64124pt" height="43.49931pt" 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">\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. 647--><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. 654--><p class="noindent">
+ <h4 class="subsectionHead"><span class="titlemark">11.7 </span> <a
+ id="x12-14500011.7"></a>Connecting Nodes</h4>
+<!--l. 656--><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. 675--><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. 683--><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. 687--><p class="noindent"><div class="obeylines-v"></div><object data="pgfmanual-257.svg" width="139.56454pt" height="65.48363pt" 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-256-" ><colgroup id="TBL-256-1g"><col
+id="TBL-256-1"></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"> <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. 703--><p class="noindent">
+ <h4 class="subsectionHead"><span class="titlemark">11.8 </span> <a
+ id="x12-14600011.8"></a>Predefined Shapes</h4>
+<!--l. 706--><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. 715--><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. 722--><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. 735--><p class="noindent"><div class="obeylines-v"></div><!--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"><col
+id="TBL-257-2"></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"> &nbsp;<object data="pgfmanual-258.svg" width="36.94382pt" height="51.44969pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-257-1-2"
+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. 753--><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. 759--><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="91.28017pt" height="39.12495pt" 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[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. 781--><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="81.74924pt" height="28.85272pt" 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</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. 790--><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="85.75824pt" height="57.30548pt" 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=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. 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-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="57.30548pt" height="114.21097pt" 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;</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. 806--><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. 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-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="35.51869pt" height="74.86484pt" 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;\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
new file mode 100644
index 00000000000..9fc748984fc
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse12.html
@@ -0,0 +1,2681 @@
+<!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="2005-10-23 18:34:00">
+<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-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="88.1847pt" height="98.57181pt" 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;\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-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="88.1847pt" height="98.57181pt" 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><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="colorbox89"><span id="textcolor90"><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="textcolor91">...<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-265-" ><colgroup id="TBL-265-1g"><col
+id="TBL-265-1"></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"> <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-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[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-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[\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-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[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-269-" ><colgroup id="TBL-269-1g"><col
+id="TBL-269-1"><col
+id="TBL-269-2"></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"> &nbsp;<object data="pgfmanual-266.svg" width="40.23381pt" height="34.54326pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-269-1-2"
+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-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="74.94632pt" height="61.89008pt" 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}</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-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="47.07912pt" height="51.28749pt" 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</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-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="101.26805pt" height="99.54404pt" 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><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-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="71.93185pt" height="86.15823pt" 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}[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-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="43.47911pt" height="49.48749pt" 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;\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-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="43.47911pt" height="49.48749pt" 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;[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-276-" ><colgroup id="TBL-276-1g"><col
+id="TBL-276-1"></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"> <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-277-" ><colgroup id="TBL-277-1g"><col
+id="TBL-277-1"><col
+id="TBL-277-2"></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"> &nbsp;<object data="pgfmanual-273.svg" width="78.64505pt" height="91.96661pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-277-1-2"
+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-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="71.35466pt" height="148.03824pt" 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;\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-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="85.75827pt" height="77.74023pt" 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;\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-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="85.75827pt" height="63.51385pt" 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;\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-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="40.23381pt" height="34.54326pt" 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}[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-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="105.2446pt" height="98.13142pt" 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=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-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="55.25378pt" height="43.07912pt" 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">\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-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="57.84273pt" height="51.87648pt" 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=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-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="71.53181pt" height="43.07913pt" 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">\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-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="74.16605pt" height="76.64778pt" 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=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-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="94.15204pt" height="77.74896pt" 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}</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="colorbox92"><span id="textcolor93"><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="textcolor94">...<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-288-" ><colgroup id="TBL-288-1g"><col
+id="TBL-288-1"></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"> <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-289-" ><colgroup id="TBL-289-1g"><col
+id="TBL-289-1"><col
+id="TBL-289-2"></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"> &nbsp;<object data="pgfmanual-284.svg" width="88.1847pt" height="98.57181pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-289-1-2"
+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-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="88.1847pt" height="98.57181pt" 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}</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-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="88.1847pt" height="98.57181pt" 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;\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-292-" ><colgroup id="TBL-292-1g"><col
+id="TBL-292-1"></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"> <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-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">(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-294-" ><colgroup id="TBL-294-1g"><col
+id="TBL-294-1"><col
+id="TBL-294-2"></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"> &nbsp;<object data="pgfmanual-287.svg" width="88.1847pt" height="98.57181pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-294-1-2"
+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>
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+<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
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+<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="2005-10-23 18:34:00">
+<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-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="57.3055pt" height="3.24544pt" 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;\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-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="85.75824pt" height="57.30548pt" 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">\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-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="57.3055pt" height="14.62636pt" 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">\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-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="91.67986pt" height="91.67986pt" 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}[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-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="57.70547pt" height="57.70547pt" 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}[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-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="85.65822pt" height="57.20547pt" 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}</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-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="85.75824pt" height="14.62636pt" 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">\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-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="85.65822pt" height="57.30548pt" 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">\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-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="95.75824pt" height="57.20547pt" 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;(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-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="114.11096pt" height="85.75822pt" 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;(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-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="114.11096pt" height="57.20547pt" 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;</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-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="85.75822pt" height="57.20547pt" 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[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-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="85.65822pt" height="114.21097pt" 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[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-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="85.65822pt" height="66.93704pt" 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;</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-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="93.674pt" height="68.83777pt" 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;</span><span
+class="cmtt-8">&nbsp;</span><span
+class="cmtt-8">&nbsp;</span><span
+class="cmtt-8">&nbsp;</span><span
+class="cmtt-8">&nbsp;</span><span
+class="cmtt-8">&nbsp;</span><span
+class="cmtt-8">&nbsp;</span><span
+class="cmtt-8">&nbsp;</span><span
+class="cmtt-8">&nbsp;</span><span
+class="cmtt-8">&nbsp;</span><span
+class="cmtt-8">&nbsp;</span><span
+class="cmtt-8">&nbsp;</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-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="85.65822pt" height="57.30548pt" 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;(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
new file mode 100644
index 00000000000..5bebfa48766
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse14.html
@@ -0,0 +1,3886 @@
+<!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="2005-10-23 18:34:00">
+<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="colorbox95"><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="colorbox96"><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="colorbox97"><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-312-" ><colgroup id="TBL-312-1g"><col
+id="TBL-312-1"><col
+id="TBL-312-2"></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"> <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-312-1-2"
+class="td11"> yields thick <object data="pgfmanual-305.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-306.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-2-1"
+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-312-2-2"
+class="td11"> yields thick <object data="pgfmanual-307.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-308.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-3-1"
+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-312-3-2"
+class="td11"> yields thick <object data="pgfmanual-309.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-310.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-4-1"
+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-312-4-2"
+class="td11"> yields thick <object data="pgfmanual-311.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-312.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-5-1"
+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-312-5-2"
+class="td11"> yields thick <object data="pgfmanual-313.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-314.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-6-1"
+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-312-6-2"
+class="td11"> yields thick <object data="pgfmanual-315.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-316.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-7-1"
+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-312-7-2"
+class="td11"> yields thick <object data="pgfmanual-317.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-318.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-8-1"
+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-312-8-2"
+class="td11"> yields thick <object data="pgfmanual-319.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-320.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-9-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-9-1"
+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-312-9-2"
+class="td11"> yields thick <object data="pgfmanual-321.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-322.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-10-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-10-1"
+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-312-10-2"
+class="td11"> yields thick <object data="pgfmanual-323.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-324.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-11-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-11-1"
+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-312-11-2"
+class="td11"> yields thick <object data="pgfmanual-325.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-326.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-12-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-12-1"
+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-312-12-2"
+class="td11"> yields thick <object data="pgfmanual-327.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-328.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-13-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-13-1"
+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-312-13-2"
+class="td11"> yields thick <object data="pgfmanual-329.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-330.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-14-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-14-1"
+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-312-14-2"
+class="td11"> yields thick <object data="pgfmanual-331.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-332.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-15-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-15-1"
+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-312-15-2"
+class="td11"> yields thick <object data="pgfmanual-333.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-334.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-16-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-16-1"
+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-312-16-2"
+class="td11"> yields thick <object data="pgfmanual-335.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-336.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-312-17-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-312-17-1"
+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-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="dx15-162001"></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-313-1-2"
+class="td11"> yields thick <object data="pgfmanual-337.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-338.svg" width="28.45274pt" height="10.76385pt" 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="dx15-162003"></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-313-2-2"
+class="td11"> yields thick <object data="pgfmanual-339.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-340.svg" width="28.45274pt" height="10.76385pt" 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="dx15-162005"></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-313-3-2"
+class="td11"> yields thick <object data="pgfmanual-341.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-342.svg" width="28.45274pt" height="10.76385pt" 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="dx15-162007"></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-313-4-2"
+class="td11"> yields thick <object data="pgfmanual-343.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-344.svg" width="28.45274pt" height="10.76385pt" 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="dx15-162009"></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-313-5-2"
+class="td11"> yields thick <object data="pgfmanual-345.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-346.svg" width="28.45274pt" height="10.76385pt" 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="dx15-162011"></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-313-6-2"
+class="td11"> yields thick <object data="pgfmanual-347.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-348.svg" width="28.45274pt" height="10.76385pt" 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="dx15-162013"></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-313-7-2"
+class="td11"> yields thick <object data="pgfmanual-349.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-350.svg" width="28.45274pt" height="10.76385pt" 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="dx15-162015"></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-313-8-2"
+class="td11"> yields thick <object data="pgfmanual-351.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-352.svg" width="28.45274pt" height="10.76385pt" 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"> </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-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="dx15-163001"></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-314-1-2"
+class="td11"> yields thick <object data="pgfmanual-353.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-354.svg" width="28.45274pt" height="10.76385pt" 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="dx15-163005"></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-314-2-2"
+class="td11"> yields thick <object data="pgfmanual-355.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-356.svg" width="28.45274pt" height="10.76385pt" 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="dx15-163009"></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-314-3-2"
+class="td11"> yields thick <object data="pgfmanual-357.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-358.svg" width="28.45274pt" height="10.76385pt" 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="dx15-163013"></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-314-4-2"
+class="td11"> yields thick <object data="pgfmanual-359.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-360.svg" width="28.45274pt" height="10.76385pt" 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-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="dx15-164001"></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-315-1-2"
+class="td11"> yields thick <object data="pgfmanual-361.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-362.svg" width="28.45274pt" height="10.76385pt" 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="dx15-164003"></a><a
+ id="dx15-164004"></a> <span
+class="cmtt-10">* </span></td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-2-2"
+class="td11"> yields thick <object data="pgfmanual-363.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-364.svg" width="28.45274pt" height="10.76385pt" 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="dx15-164005"></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-315-3-2"
+class="td11"> yields thick <object data="pgfmanual-365.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-366.svg" width="28.45274pt" height="10.76385pt" 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="dx15-164007"></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-315-4-2"
+class="td11"> yields thick <object data="pgfmanual-367.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-368.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-315-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-315-5-1"
+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-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="dx15-165001"></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-316-1-2"
+class="td11"> yields thick <object data="pgfmanual-369.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-370.svg" width="28.45274pt" height="10.76385pt" 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="dx15-165003"></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-316-2-2"
+class="td11"> yields thick <object data="pgfmanual-371.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-372.svg" width="28.45274pt" height="10.76385pt" 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="dx15-165005"></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-316-3-2"
+class="td11"> yields thick <object data="pgfmanual-373.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-374.svg" width="28.45274pt" height="10.76385pt" 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="dx15-165007"></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-316-4-2"
+class="td11"> yields thick <object data="pgfmanual-375.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-376.svg" width="28.45274pt" height="10.76385pt" 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"> <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-316-5-2"
+class="td11"> yields thick <object data="pgfmanual-377.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-378.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-316-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-6-1"
+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-316-6-2"
+class="td11"> yields thick <object data="pgfmanual-379.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-380.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-316-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-7-1"
+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-316-7-2"
+class="td11"> yields thick <object data="pgfmanual-381.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-382.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-316-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-316-8-1"
+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-316-8-2"
+class="td11"> yields thick <object data="pgfmanual-383.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-384.svg" width="28.45274pt" height="10.76385pt" 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-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="dx15-166001"></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-317-1-2"
+class="td11"> yields for line width 1ex <object data="pgfmanual-385.svg" width="42.67912pt" height="10.76385pt" 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="dx15-166003"></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-317-2-2"
+class="td11"> yields for line width 1ex <object data="pgfmanual-386.svg" width="42.67912pt" height="10.76385pt" 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="dx15-166005"></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-317-3-2"
+class="td11"> yields for line width 1ex <object data="pgfmanual-387.svg" width="42.67912pt" height="10.76385pt" 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="dx15-166007"></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-317-4-2"
+class="td11"> yields for line width 1ex <object data="pgfmanual-388.svg" width="42.67912pt" height="10.76385pt" 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="dx15-166009"></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-317-5-2"
+class="td11"> yields for line width 1ex <object data="pgfmanual-389.svg" width="42.67912pt" height="10.76385pt" 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="dx15-166011"></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-317-6-2"
+class="td11"> yields for line width 1ex <object data="pgfmanual-390.svg" width="42.67912pt" height="10.76385pt" 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"> </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="colorbox98"><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="colorbox99"><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="colorbox100"><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="colorbox101">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-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"> &nbsp;<object data="pgfmanual-391.svg" width="85.75822pt" height="28.85274pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-318-1-2"
+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="colorbox102">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-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="85.42587pt" height="2.9pt" 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[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="colorbox103">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-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="85.42587pt" height="2.9pt" 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=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="colorbox104">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-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="85.42587pt" height="48.85274pt" 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">\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="colorbox105">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-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="88.36203pt" height="113.5372pt" 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">\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="colorbox106">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-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="85.42587pt" height="2.9pt" 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=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="colorbox107">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-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="85.42587pt" height="5.4pt" 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=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="colorbox108">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-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="85.42587pt" height="5.4pt" 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=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="colorbox109">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-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="85.42587pt" height="5.4pt" 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=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="colorbox110">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-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="85.42587pt" height="3.93552pt" 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=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="colorbox111">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-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="85.42587pt" height="5.4pt" 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=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="colorbox112"><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="colorbox113"><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="colorbox114"><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="colorbox115"><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-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="68.43256pt" height="40.39645pt" 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">\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="colorbox116"><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-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="68.43256pt" height="40.39645pt" 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;\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="colorbox117"><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-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="68.43256pt" height="40.39645pt" 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;\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="colorbox118"><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-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="68.43256pt" height="40.39645pt" 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;\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="colorbox119"><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-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="68.43256pt" height="40.39645pt" 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;\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="colorbox120"><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-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="68.43256pt" height="40.39645pt" 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;\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="colorbox121"><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-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="68.43256pt" height="40.39645pt" 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;\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="colorbox122"><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-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="68.43256pt" height="40.39645pt" 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{\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="colorbox123"><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-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="68.43256pt" height="42.54958pt" 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">\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="colorbox124"><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-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="68.43256pt" height="40.39645pt" 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">\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="colorbox125"><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-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"> <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-339-1-2"
+class="td11"> <object data="pgfmanual-412.svg" width="46.67911pt" height="9.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-339-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-339-2-1"
+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-339-2-2"
+class="td11"> <object data="pgfmanual-413.svg" width="45.50754pt" height="8.51889pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-339-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-339-3-1"
+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-339-3-2"
+class="td11"> <object data="pgfmanual-414.svg" width="46.67911pt" height="9.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-339-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-339-4-1"
+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="colorbox126"><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="colorbox127"><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="colorbox128"><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-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="dx15-172003"></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-340-1-2"
+class="td11"> <object data="pgfmanual-415.svg" width="46.67911pt" height="6.09045pt" 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="dx15-172005"></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-340-2-2"
+class="td11"> <object data="pgfmanual-416.svg" width="43.0791pt" height="9.69046pt" 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="dx15-172007"></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-340-3-2"
+class="td11"> <object data="pgfmanual-417.svg" width="46.67911pt" height="9.69046pt" 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"> <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-340-4-2"
+class="td11"> <object data="pgfmanual-418.svg" width="46.14322pt" height="9.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-5-1"
+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-340-5-2"
+class="td11"> <object data="pgfmanual-419.svg" width="46.4833pt" height="9.3085pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-6-1"
+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-340-6-2"
+class="td11"> <object data="pgfmanual-420.svg" width="46.67911pt" height="9.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-7-1"
+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-340-7-2"
+class="td11"> <object data="pgfmanual-421.svg" width="46.67911pt" height="9.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-8-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-8-1"
+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-340-8-2"
+class="td11"> <object data="pgfmanual-422.svg" width="46.67911pt" height="9.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-9-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-9-1"
+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-340-9-2"
+class="td11"> <object data="pgfmanual-423.svg" width="46.67911pt" height="9.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-10-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-10-1"
+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-340-10-2"
+class="td11"> <object data="pgfmanual-424.svg" width="46.67911pt" height="9.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-11-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-11-1"
+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-340-11-2"
+class="td11"> <object data="pgfmanual-425.svg" width="46.67911pt" height="9.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-12-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-12-1"
+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-340-12-2"
+class="td11"> <object data="pgfmanual-426.svg" width="46.14322pt" height="8.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-13-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-13-1"
+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-340-13-2"
+class="td11"> <object data="pgfmanual-427.svg" width="46.14322pt" height="8.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-14-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-14-1"
+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-340-14-2"
+class="td11"> <object data="pgfmanual-428.svg" width="45.67911pt" height="9.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-15-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-15-1"
+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-340-15-2"
+class="td11"> <object data="pgfmanual-429.svg" width="45.67911pt" height="9.69046pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-16-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-16-1"
+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-340-16-2"
+class="td11"> <object data="pgfmanual-430.svg" width="46.4833pt" height="9.3085pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-17-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-17-1"
+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-340-17-2"
+class="td11"> <object data="pgfmanual-431.svg" width="46.4833pt" height="9.3085pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-340-18-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-340-18-1"
+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="colorbox129"><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="colorbox130"><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="colorbox131"><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="colorbox132">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-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"> &nbsp;<object data="pgfmanual-432.svg" width="85.55821pt" height="57.10547pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-341-1-2"
+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-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;Cross <object data="pgfmanual-433.svg" width="20.24374pt" height="11.77148pt" 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-342-1-2"
+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-434.svg" width="381.09662pt" height="141.29791pt" 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-343-" ><colgroup id="TBL-343-1g"><col
+id="TBL-343-1"></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"> <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="colorbox133">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-435.svg" width="437.71866pt" height="183.49844pt" 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=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="colorbox134">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-345-" ><colgroup id="TBL-345-1g"><col
+id="TBL-345-1"><col
+id="TBL-345-2"></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"> &nbsp;<object data="pgfmanual-436.svg" width="51.02625pt" height="51.02625pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-345-1-2"
+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-437.svg" width="399.51447pt" height="313.7146pt" 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-346-" ><colgroup id="TBL-346-1g"><col
+id="TBL-346-1"></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"> <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="colorbox135">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-347-" ><colgroup id="TBL-347-1g"><col
+id="TBL-347-1"><col
+id="TBL-347-2"></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"> &nbsp;Strike <object data="pgfmanual-438.svg" width="20.24374pt" height="11.77148pt" 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-347-1-2"
+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="colorbox136"><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="colorbox137"><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="colorbox138"><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-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;<object data="pgfmanual-439.svg" width="85.75818pt" height="163.49527pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&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">\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-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="100.01622pt" height="163.49527pt" 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;(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-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="85.75822pt" height="169.28902pt" 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;(-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-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="72.88736pt" height="40.2234pt" 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;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-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="88.1847pt" height="98.57181pt" 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}</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-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="111.48257pt" height="77.62909pt" 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;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="colorbox139"><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="colorbox140"><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="colorbox141"><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-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="66.31656pt" height="37.8638pt" 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}[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-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="69.71658pt" height="41.26382pt" 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">\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-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="66.31656pt" height="37.8638pt" 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;[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-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="66.11655pt" height="37.66379pt" 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">\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-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="66.71655pt" height="38.2638pt" 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">\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-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="66.71655pt" height="38.2638pt" 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">\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-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="66.31656pt" height="37.6638pt" 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;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-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="74.92764pt" height="37.6638pt" 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}</span>
+<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-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="74.92764pt" height="46.47488pt" 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=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-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="70.2221pt" height="39.61658pt" 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">\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="colorbox142"><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="colorbox143"><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="colorbox144"><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="colorbox145">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="colorbox146">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-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="32.57529pt" height="32.57529pt" 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">\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-456.svg" width="414.33429pt" height="328.53442pt" 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-365-" ><colgroup id="TBL-365-1g"><col
+id="TBL-365-1"></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"> <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>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse15.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse15.html
new file mode 100644
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--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse15.html
@@ -0,0 +1,974 @@
+<!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">
+<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="2005-10-23 18:34:00">
+<link rel="stylesheet" type="text/css" href="pgfmanual.css">
+</head><body
+>
+ <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="colorbox147"><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-366-" ><colgroup id="TBL-366-1g"><col
+id="TBL-366-1"><col
+id="TBL-366-2"></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"> &nbsp;[1][2][3][0]&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-366-1-2"
+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-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;<object data="pgfmanual-457.svg" width="97.13914pt" height="11.78091pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&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">\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-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="97.13914pt" height="97.13914pt" 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">\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-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="92.8714pt" height="43.0791pt" 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">\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-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="85.75822pt" height="28.85274pt" 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;\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-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="57.30548pt" height="57.30548pt" 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><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-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="97.02419pt" height="13.11038pt" 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">\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-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="99.98459pt" height="67.2985pt" 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;</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-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="65.84128pt" height="114.21097pt" 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;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-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="116.811pt" height="116.811pt" 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}[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-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="108.12007pt" height="108.12007pt" 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">\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="colorbox148"><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-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="91.35823pt" height="97.35823pt" 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">\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
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@@ -0,0 +1,1631 @@
+<!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="2005-10-23 18:34:00">
+<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-378-" ><colgroup id="TBL-378-1g"><col
+id="TBL-378-1"></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"> <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-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{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-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{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-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="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-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">\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-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">\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="colorbox149"><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="colorbox150"><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="colorbox151"><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="colorbox152"><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="colorbox153"><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="colorbox154"><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="colorbox155"><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-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{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="colorbox156"><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="colorbox157"><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="colorbox158"><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-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">\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="colorbox159"><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-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">\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="colorbox160"><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-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">\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-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{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-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=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-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{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="colorbox161"><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-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">\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="colorbox162"><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-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">\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>
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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>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="2005-10-23 18:34:00">
+<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="colorbox163"><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="colorbox164"><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="colorbox165"><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-393-" ><colgroup id="TBL-393-1g"><col
+id="TBL-393-1"><col
+id="TBL-393-2"></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"> &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-393-1-2"
+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="colorbox166"><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-394-" ><colgroup id="TBL-394-1g"><col
+id="TBL-394-1"></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"> <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
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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>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="2005-10-23 18:34:00">
+<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-396-" ><colgroup id="TBL-396-1g"><col
+id="TBL-396-1"><col
+id="TBL-396-2"></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"> &nbsp;<object data="pgfmanual-469.svg" width="28.85274pt" height="28.85274pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-396-1-2"
+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-470.svg" width="448.1307pt" height="56.90549pt" 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="2005-10-23 18:34:00">
+<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="colorbox167"><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="colorbox168"><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="colorbox169"><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="colorbox170"><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="colorbox171"><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="colorbox172"><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="colorbox173"><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="colorbox174"><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="colorbox175"><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="colorbox176"><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="colorbox177"><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-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;Hello <object data="pgfmanual-471.svg" width="9.01108pt" height="4.70554pt" 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-397-1-2"
+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-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;Rectangles <object data="pgfmanual-472.svg" width="9.01108pt" height="4.70554pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and<object data="pgfmanual-473.svg" width="9.01108pt" height="4.70554pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>. &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">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-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-474.svg" width="9.01108pt" height="4.70554pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and<object data="pgfmanual-475.svg" width="9.01108pt" height="4.70554pt" 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">&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="colorbox178"><span
+class="cmtt-10">\pgfpicture</span></span> </dt><dd
+class="description">
+
+
+ </dd><dt class="description">
+<span
+class="colorbox" id="colorbox179"><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="colorbox180"><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="colorbox181"><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-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;Text <object data="pgfmanual-476.svg" width="9.01108pt" height="9.01108pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>, <object data="pgfmanual-477.svg" width="9.01108pt" height="9.01108pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>, <object data="pgfmanual-478.svg" width="9.01108pt" height="9.01108pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>, <object data="pgfmanual-479.svg" width="9.01108pt" height="9.01108pt" 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">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="colorbox182"><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="colorbox183"><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="colorbox184"><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-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;<object data="pgfmanual-480.svg" width="35.64433pt" height="10.61108pt" 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">\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-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="34.84433pt" height="9.01108pt" 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;\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="colorbox185"><span
+class="cmtt-10">\pgfscope</span></span> </dt><dd
+class="description">
+ </dd><dt class="description">
+<span
+class="colorbox" id="colorbox186"><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="colorbox187"><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="colorbox188"><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="colorbox189"><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="colorbox190"><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="colorbox191"><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="colorbox192"><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="colorbox193"><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-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-483.svg" width="0.4pt" height="28.85274pt" 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;\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="colorbox194"><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-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="57.10547pt" height="28.65271pt" 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">\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-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="57.10547pt" height="28.65271pt" 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[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-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="57.10547pt" height="28.65271pt" 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[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-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="57.10547pt" height="28.65271pt" 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,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-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="57.10547pt" height="28.65271pt" 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[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-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="57.10547pt" height="28.65271pt" 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,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-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="57.10547pt" height="28.65271pt" 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[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-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="57.10547pt" height="28.65271pt" 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,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-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="69.50551pt" height="28.65271pt" 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,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-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="69.50551pt" height="28.65271pt" 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,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-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="66.85864pt" height="33.1188pt" 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,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>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse2.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse2.html
new file mode 100644
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@@ -0,0 +1,576 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
+ "http://www.w3.org/TR/html4/loose.dtd">
+<html >
+<head><title>2 Installation</title>
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+ <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 1.00&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></ul>
+<!--l. 51--><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. 62--><p class="indent"> For more details, see Section&nbsp;<a
+href="pgfmanualse5.html#x6-550005">5<!--tex4ht:ref: section-formats --></a>.
+
+
+<!--l. 66--><p class="noindent">
+ <h4 class="subsectionHead"><span class="titlemark">2.2 </span> <a
+ id="x3-110002.2"></a>Installing Prebundled Packages</h4>
+<!--l. 68--><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. 76--><p class="noindent">
+ <h5 class="subsubsectionHead"><span class="titlemark">2.2.1 </span> <a
+ id="x3-120002.2.1"></a>Debian</h5>
+<!--l. 78--><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. 83--><p class="nopar">
+<!--l. 86--><p class="noindent">
+ <h5 class="subsubsectionHead"><span class="titlemark">2.2.2 </span> <a
+ id="x3-130002.2.2"></a>MiKTeX</h5>
+<!--l. 88--><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. 94--><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. 96--><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. 99--><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. 115--><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. 121--><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. 123--><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. 129--><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">1.00</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. 139--><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. 141--><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. 148--><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. 157--><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. 162--><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. 169--><p class="noindent">
+ <h4 class="subsectionHead"><span class="titlemark">2.4 </span> <a
+ id="x3-170002.4"></a>Updating the Installation</h4>
+<!--l. 171--><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
+ 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.
+ <!--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
+href="pgfmanualse1.html" >prev</a>] [<a
+href="pgfmanualse1.html#tailpgfmanualse1.html" >prev-tail</a>] [<a
+href="pgfmanualse2.html" >front</a>] [<a
+href="pgfmanual.html#pgfmanualse2.html" >up</a>] </p></div>
+<!--l. 1--><p class="indent"> <a
+ id="tailpgfmanualse2.html"></a>
+</body></html>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse20.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse20.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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+>
+ <div class="crosslinks"><p class="noindent">[<a
+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="colorbox195"><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-415-" ><colgroup id="TBL-415-1g"><col
+id="TBL-415-1"><col
+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="87.45822pt" height="57.10547pt" 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">\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="colorbox196"><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="colorbox197"><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-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="87.45822pt" height="59.00548pt" 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>
+<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="colorbox198"><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-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="85.55821pt" height="57.30548pt" 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><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="colorbox199"><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-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="39.80688pt" height="39.80688pt" 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{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="colorbox200"><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-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="85.55821pt" height="57.30548pt" 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{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="colorbox201"><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="colorbox202"><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="colorbox203"><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-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="85.55821pt" height="57.10547pt" 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><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="colorbox204"><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-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="85.55821pt" height="59.00548pt" 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{\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="colorbox205"><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-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="87.45822pt" height="57.10547pt" 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{\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="colorbox206"><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-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="85.55821pt" height="57.10547pt" 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{\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="colorbox207"><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-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="87.95822pt" height="77.57631pt" 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;\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="colorbox208"><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-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="92.7805pt" height="57.41106pt" 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{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="colorbox209"><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-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="95.41348pt" height="63.34995pt" 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;\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="colorbox210"><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-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="87.45822pt" height="78.54503pt" 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;(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="colorbox211"><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-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="85.65822pt" height="78.54503pt" 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;\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="colorbox212"><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-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="57.20547pt" height="57.30548pt" 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;(2,2);</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="colorbox213"><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-430-" ><colgroup id="TBL-430-1g"><col
+id="TBL-430-1"></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"> <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="colorbox214"><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-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">...</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="colorbox215"><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-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">\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>
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+<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
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+<head><title>21 Constructing Paths</title>
+<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
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+<meta name="date" content="2005-10-23 18:34:00">
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+>
+ <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
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+ <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-510.svg" width="251.83217pt" height="129.4658pt" 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-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">\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="colorbox216"><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-434-" ><colgroup id="TBL-434-1g"><col
+id="TBL-434-1"><col
+id="TBL-434-2"></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"> &nbsp;<object data="pgfmanual-511.svg" width="85.75826pt" height="28.85274pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-434-1-2"
+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-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="85.75826pt" height="28.85274pt" 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;\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="colorbox217"><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-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="57.3055pt" height="28.85274pt" 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;\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="colorbox218"><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-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="85.75826pt" height="28.85274pt" 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;\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="colorbox219"><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-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="87.95822pt" height="87.95822pt" 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{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="colorbox220"><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-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="99.68462pt" height="57.10547pt" 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;\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-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="97.5438pt" height="57.20547pt" 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;\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-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="93.55327pt" height="66.3956pt" 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;\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="colorbox221"><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-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="99.8846pt" height="93.55374pt" 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;\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="colorbox222"><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="colorbox223"><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-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="99.88461pt" height="57.20547pt" 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;\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="colorbox224"><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-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="85.55821pt" height="57.20547pt" 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;\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="colorbox225"><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-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="103.22989pt" height="74.77713pt" 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{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-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="99.28304pt" height="99.28304pt" 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;\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="colorbox226"><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-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="114.211pt" height="142.66377pt" 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;</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.gif" alt="p" class="10x-x-19" />/</span>2.
+<!--l. 449--><p class="indent">
+ <dl class="description"><dt class="description">
+<span
+class="colorbox" id="colorbox227"><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.gif" 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-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="114.11098pt" height="85.75824pt" 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{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="colorbox228"><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.gif" 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-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="114.21097pt" height="57.30548pt" 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{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="colorbox229"><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-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="85.75826pt" height="57.3055pt" 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{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-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="85.75826pt" height="57.3055pt" 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{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-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="51.8716pt" height="54.51993pt" 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{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="colorbox230"><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="colorbox231"><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="colorbox232"><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="colorbox233"><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="colorbox234"><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="colorbox235"><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="colorbox236"><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="colorbox237"><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="colorbox238"><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="colorbox239"><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="colorbox240"><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)">
+<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="2005-10-23 18:34:00">
+<link rel="stylesheet" type="text/css" href="pgfmanual.css">
+</head><body
+>
+ <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-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="85.68571pt" height="32.34764pt" 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{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-531.svg" width="10.46054pt" height="5.4pt" 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.gif" 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-454-" ><colgroup id="TBL-454-1g"><col
+id="TBL-454-1"></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"> <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="colorbox241"><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-455-" ><colgroup id="TBL-455-1g"><col
+id="TBL-455-1"><col
+id="TBL-455-2"></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"> &nbsp; <object data="pgfmanual-532.svg" width="85.62251pt" height="93.66696pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-455-1-2"
+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="colorbox242"><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="colorbox243"><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="colorbox244"><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-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="89.10129pt" height="182.48958pt" 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{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="colorbox245">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="colorbox246">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="colorbox247"><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-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="85.55821pt" height="57.20547pt" 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">\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="colorbox248"><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-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="85.65822pt" height="57.20547pt" 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](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="colorbox249"><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-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="85.6513pt" height="57.20152pt" 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]</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="colorbox250"><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="2005-10-23 18:34:00">
+<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="colorbox251"><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-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="28.45274pt" height="28.45274pt" 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{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-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="28.85274pt" height="28.85274pt" 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{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-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="28.85274pt" height="28.85274pt" 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,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="colorbox252"><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-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="62.59602pt" height="18.49425pt" 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;\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="colorbox253"><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="colorbox254"><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="colorbox255"><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="colorbox256"><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="colorbox257"><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="colorbox258"><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="colorbox259"><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="colorbox260"><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="colorbox261"><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-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="57.3055pt" height="6.09053pt" 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;\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="colorbox262"><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-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="74.97713pt" height="18.07162pt" 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;\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="colorbox263"><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="colorbox264"><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-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="99.58458pt" height="71.13184pt" 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{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="colorbox265"><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-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="28.85274pt" height="6.09053pt" 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;\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="colorbox266"><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-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="28.85274pt" height="1.0pt" 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;\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="colorbox267"><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-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="28.85274pt" height="1.0pt" 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;\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="colorbox268"><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-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="71.53186pt" height="28.85272pt" 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;\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="colorbox269"><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="colorbox270"><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-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="54.0602pt" height="39.83383pt" 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;\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="colorbox271"><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-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="54.0602pt" height="39.83383pt" 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;\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="colorbox272"><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="colorbox273"><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-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="111.87775pt" height="105.27515pt" 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{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-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;Left<object data="pgfmanual-551.svg" width="8.61108pt" height="4.30554pt" 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-474-1-2"
+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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@@ -0,0 +1,1367 @@
+<!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="2005-10-23 18:34:00">
+<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-552.svg" width="36.43103pt" height="6.9444pt" 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-553.svg" width="13.2778pt" height="3.47221pt" 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-554.svg" width="344.94086pt" height="75.55493pt" 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-555.svg" width="344.94086pt" height="75.55493pt" 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="colorbox274"><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-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;<object data="pgfmanual-556.svg" width="59.90549pt" height="23.0pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&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">\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-476-" ><colgroup id="TBL-476-1g"><col
+id="TBL-476-1"></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"> <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-477-" ><colgroup id="TBL-477-1g"><col
+id="TBL-477-1"><col
+id="TBL-477-2"></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"> &nbsp;<object data="pgfmanual-557.svg" width="59.90549pt" height="78.24504pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-477-1-2"
+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-478-" ><colgroup id="TBL-478-1g"><col
+id="TBL-478-1"></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"> <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-479-" ><colgroup id="TBL-479-1g"><col
+id="TBL-479-1"><col
+id="TBL-479-2"></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"> &nbsp;<object data="pgfmanual-558.svg" width="59.90549pt" height="64.01866pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-479-1-2"
+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-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="90.45822pt" height="57.10547pt" 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[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-560.svg" width="245.28935pt" height="180.93636pt" 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-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-561.svg" width="90.45822pt" height="57.10547pt" 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">\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="colorbox275"><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-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="113.81096pt" height="71.13184pt" 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">\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="colorbox276"><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-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="113.81096pt" height="71.13184pt" 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">\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="colorbox277"><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-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="113.81096pt" height="71.13184pt" 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">\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-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="113.81096pt" height="71.13184pt" 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>
+ </dd></dl>
+<!--l. 544--><p class="indent">
+ <dl class="description"><dt class="description">
+<span
+class="colorbox" id="colorbox278"><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-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="113.81096pt" height="71.13184pt" 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">\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="colorbox279"><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-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="113.81096pt" height="71.13184pt" 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">\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="colorbox280"><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-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="113.81096pt" height="71.13184pt" 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">\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="colorbox281"><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-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="113.81096pt" height="71.13184pt" 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;\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="colorbox282"><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-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="113.81096pt" height="71.13184pt" 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;\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-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"> <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-491-1-2"
+class="td11"> yields thick <object data="pgfmanual-571.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-572.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-491-2-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-2-1"
+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-491-2-2"
+class="td11"> yields thick <object data="pgfmanual-573.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-574.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-491-3-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-3-1"
+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-491-3-2"
+class="td11"> yields thick <object data="pgfmanual-575.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-576.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-491-4-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-4-1"
+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-491-4-2"
+class="td11"> yields thick <object data="pgfmanual-577.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-578.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-491-5-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-5-1"
+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-491-5-2"
+class="td11"> yields thick <object data="pgfmanual-579.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-580.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-491-6-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-6-1"
+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-491-6-2"
+class="td11"> yields thick <object data="pgfmanual-581.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-582.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> </td>
+</tr><tr
+ valign="baseline" id="TBL-491-7-"><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-491-7-1"
+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-491-7-2"
+class="td11"> yields thick <object data="pgfmanual-583.svg" width="28.45274pt" height="10.76385pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and thin <object data="pgfmanual-584.svg" width="28.45274pt" height="10.76385pt" 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
new file mode 100644
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+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse25.html
@@ -0,0 +1,2658 @@
+<!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="2005-10-23 18:34:00">
+<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="colorbox283"><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="colorbox284"><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="colorbox285"><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="colorbox286"><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-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"> &nbsp;<object data="pgfmanual-585.svg" width="115.25513pt" height="85.55821pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-492-1-2"
+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-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="114.01096pt" height="85.55821pt" 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;\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="colorbox287"><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-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="31.57529pt" height="31.57529pt" 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">\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-495-" ><colgroup id="TBL-495-1g"><col
+id="TBL-495-1"></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"> <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-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\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="colorbox288"><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-497-" ><colgroup id="TBL-497-1g"><col
+id="TBL-497-1"><col
+id="TBL-497-2"></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"> &nbsp;<object data="pgfmanual-588.svg" width="114.01096pt" height="35.55792pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> &nbsp; </td> <td align="left" style="white-space:nowrap; text-align:left;" id="TBL-497-1-2"
+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="colorbox289"><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="colorbox290"><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-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="114.01096pt" height="35.55792pt" 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;\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="colorbox291"><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="colorbox292"><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-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="114.01096pt" height="37.55792pt" 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;\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="colorbox293"><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="colorbox294"><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-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="60.87431pt" height="45.53308pt" 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{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-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="60.87431pt" height="50.88116pt" 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;{</span>
+<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="colorbox295"><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-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="89.35825pt" height="52.03911pt" 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;\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="colorbox296"><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-503-" ><colgroup id="TBL-503-1g"><col
+id="TBL-503-1"></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"> <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-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{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="colorbox297"><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="colorbox298"><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-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">\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-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=.\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="colorbox299"><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-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">\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="colorbox300"><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-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">\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-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;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-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{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-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{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-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}{\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="colorbox301"><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-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">\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="colorbox302"><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-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">\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="colorbox303"><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="colorbox304"><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="colorbox305"><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="colorbox306"><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="colorbox307"><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="colorbox308"><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="colorbox309"><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="colorbox310"><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="colorbox311"><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="colorbox312"><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="colorbox313"><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="colorbox314"><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="colorbox315"><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="colorbox316"><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-515-" ><colgroup id="TBL-515-1g"><col
+id="TBL-515-1"><col
+id="TBL-515-2"></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"> &nbsp; <object data="pgfmanual-594.svg" width="74.5798pt" height="106.78972pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-515-1-2"
+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="colorbox317">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="colorbox318">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-595.svg" width="390.25537pt" height="146.1373pt" 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-516-" ><colgroup id="TBL-516-1g"><col
+id="TBL-516-1"></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"> <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="colorbox319">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-596.svg" width="360.12872pt" height="274.32886pt" 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=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
new file mode 100644
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@@ -0,0 +1,1706 @@
+<!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="2005-10-23 18:34:00">
+<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="colorbox320"><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-518-" ><colgroup id="TBL-518-1g"><col
+id="TBL-518-1"><col
+id="TBL-518-2"></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"> &nbsp;<object data="pgfmanual-597.svg" width="85.75822pt" height="57.30548pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-518-1-2"
+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="colorbox321"><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-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="85.65822pt" height="57.20547pt" 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;\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="colorbox322"><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="colorbox323"><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-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="85.65822pt" height="57.20547pt" 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;\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="colorbox324"><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-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="85.65822pt" height="57.20547pt" 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;\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="colorbox325"><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="colorbox326"><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-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="85.65822pt" height="57.20547pt" 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;\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="colorbox327"><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-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="85.65822pt" height="85.65822pt" 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;\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="colorbox328"><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-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="85.65822pt" height="57.20547pt" 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;\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="colorbox329"><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-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="85.65822pt" height="92.8714pt" 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;\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="colorbox330"><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-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="91.49536pt" height="57.20547pt" 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;(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="colorbox331"><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-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="85.65822pt" height="57.20547pt" 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;(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-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="85.65822pt" height="57.20547pt" 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;\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-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="85.75822pt" height="57.20547pt" 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;\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-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="85.75822pt" height="57.20547pt" 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;\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="colorbox332"><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-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="87.09572pt" height="57.30548pt" 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;\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-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="86.26747pt" height="57.30548pt" 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;\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="colorbox333"><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="colorbox334"><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="colorbox335"><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-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="85.65822pt" height="57.20547pt" 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;\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="colorbox336"><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-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="85.55821pt" height="57.10547pt" 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;\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="colorbox337"><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-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="85.65822pt" height="71.43184pt" 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;\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="colorbox338"><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="colorbox339"><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="colorbox340"><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-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="85.95822pt" height="57.50548pt" 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;\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="colorbox341"><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-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="85.55821pt" height="57.10547pt" 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;\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="colorbox342"><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-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="85.55821pt" height="57.10547pt" 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;\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="colorbox343"><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="colorbox344"><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="colorbox345"><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-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="85.55821pt" height="57.10547pt" 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;\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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@@ -0,0 +1,726 @@
+<!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="2005-10-23 18:34:00">
+<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="colorbox346"><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="colorbox347"><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="colorbox348"><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="colorbox349"><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="colorbox350"><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-540-" ><colgroup id="TBL-540-1g"><col
+id="TBL-540-1"></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"> <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="colorbox351"><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="colorbox352"><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-541-" ><colgroup id="TBL-541-1g"><col
+id="TBL-541-1"><col
+id="TBL-541-2"></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"> &nbsp;<object data="pgfmanual-619.svg" width="28.85274pt" height="142.66377pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-541-1-2"
+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-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="28.85274pt" height="142.66377pt" 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]</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="colorbox353"><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="colorbox354"><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-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="28.85274pt" height="142.66377pt" 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">\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="colorbox355"><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-622.svg" width="398.33858pt" height="142.26378pt" 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-544-" ><colgroup id="TBL-544-1g"><col
+id="TBL-544-1"></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"> <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>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse28.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse28.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)">
+<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="2005-10-23 18:34:00">
+<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-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="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="colorbox356"><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-546-" ><colgroup id="TBL-546-1g"><col
+id="TBL-546-1"><col
+id="TBL-546-2"></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"> &nbsp; <object data="pgfmanual-623.svg" width="113.81102pt" height="28.45274pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-546-1-2"
+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><!--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="56.9055pt" height="28.45274pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> <object data="pgfmanual-625.svg" width="56.9055pt" height="28.45274pt" 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[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="colorbox357"><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-548-" ><colgroup id="TBL-548-1g"><col
+id="TBL-548-1"><col
+id="TBL-548-2"></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"> &nbsp; <object data="pgfmanual-626.svg" width="113.81102pt" height="56.9055pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-548-1-2"
+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="colorbox358"><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-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="59.75095pt" height="59.75095pt" 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">\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="colorbox359"><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-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-630.svg" width="48.45276pt" height="34.22636pt" 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">\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="colorbox360"><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-631.svg" width="100.375pt" height="100.375pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> <object data="pgfmanual-632.svg" width="284.92754pt" height="57.3055pt" 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-551-" ><colgroup id="TBL-551-1g"><col
+id="TBL-551-1"></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"> <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-636.svg" width="391.56851pt" height="119.46281pt" 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{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-637.svg" width="100.375pt" height="100.375pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> <object data="pgfmanual-638.svg" width="199.16927pt" height="56.90549pt" 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">\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-639.svg" width="228.02202pt" height="28.85274pt" 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">\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-555-" ><colgroup id="TBL-555-1g"><col
+id="TBL-555-1"><col
+id="TBL-555-2"></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"> &nbsp; <object data="pgfmanual-640.svg" width="113.81097pt" height="56.90549pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-555-1-2"
+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>
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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="2005-10-23 18:34:00">
+<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="colorbox361"><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="colorbox362"><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="colorbox363"><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.gif" 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-556-" ><colgroup id="TBL-556-1g"><col
+id="TBL-556-1"></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"> <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="colorbox364"><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="colorbox365"><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="colorbox366"><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="colorbox367"><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-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">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-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">\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="colorbox368"><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-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="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-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="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="colorbox369"><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-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">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;&#34;#1.table&#34;;</span><span
+class="cmtt-8">&nbsp;set</span><span
+class="cmtt-8">&nbsp;format</span><span
+class="cmtt-8">&nbsp;&#34;</span><span
+class="cmsltt-10x-x-80">%.5f&#34;</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-562-" ><colgroup id="TBL-562-1g"><col
+id="TBL-562-1"><col
+id="TBL-562-2"></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"> &nbsp;<object data="pgfmanual-641.svg" width="114.11096pt" height="87.10106pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-562-1-2"
+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="colorbox370"><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-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="85.75826pt" height="57.3055pt" 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{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="colorbox371"><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="colorbox372"><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-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="85.75826pt" height="57.3055pt" 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;\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="colorbox373"><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="colorbox374"><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-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="69.14879pt" height="65.201pt" 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;\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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@@ -0,0 +1,4152 @@
+<!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="2005-10-23 18:34:00">
+<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="465.67824pt" height="269.39056pt" 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="85.75821pt" height="85.75821pt" 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="85.75821pt" height="85.75821pt" 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="43.0791pt" height="1.0pt" 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="61.30548pt" height="32.85274pt" 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="85.75821pt" height="85.75821pt" 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="20.4pt" height="20.4pt" 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="40.4pt" height="20.4pt" 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="12.4573pt" height="9.28381pt" 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="85.75821pt" height="85.75821pt" 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="85.75821pt" height="85.75821pt" 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="10.4pt" height="10.4pt" 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="85.75821pt" height="85.75821pt" 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="85.75821pt" height="85.75821pt" 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="10.4pt" height="1.0pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object> and <object data="pgfmanual-20.svg" width="10.4pt" height="1.0pt" 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">closely</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="85.75821pt" height="85.75821pt" 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="256.47464pt" height="256.47464pt" 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="99.98462pt" height="57.30548pt" 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="102.4309pt" height="81.09004pt" 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="102.83093pt" height="102.83093pt" 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="28.85274pt" height="28.85274pt" 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="6.4pt" height="16.4pt" 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.gif" 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="7.15971pt" height="4.70554pt" 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="27.43887pt" height="9.01108pt" 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="102.4309pt" height="81.09004pt" 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="90.35823pt" height="45.17911pt" 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="102.4309pt" height="81.09004pt" 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="99.5846pt" height="28.45274pt" 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="270.30106pt" height="30.05275pt" 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="102.4309pt" height="81.09004pt" 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="102.4309pt" height="81.09004pt" 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="102.4309pt" height="81.09004pt" 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="71.53185pt" height="28.85274pt" 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="71.53185pt" height="28.85274pt" 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="71.53185pt" height="28.85274pt" 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.gif" 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.gif" 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="71.53185pt" height="31.01779pt" 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="102.4309pt" height="145.96184pt" 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="71.53188pt" height="10.4pt" 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="10.0pt" height="4.30554pt" 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.gif" 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="71.93187pt" height="11.19998pt" 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="86.95824pt" height="30.05275pt" 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="2.4pt" height="14.62636pt" 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="41.38083pt" height="41.38083pt" 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="102.4309pt" height="145.96184pt" 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="279.23653pt" height="23.16183pt" 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="57.30548pt" height="2.4pt" 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="341.8329pt" height="142.6637pt" 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="102.17403pt" height="57.30548pt" 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="102.43085pt" height="145.96184pt" 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.gif" 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="102.43085pt" height="145.96184pt" 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.gif" 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="341.43292pt" height="85.35818pt" 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="341.83292pt" height="45.52199pt" 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="81.28409pt" height="94.87352pt" 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="199.56918pt" height="85.75821pt" 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
new file mode 100644
index 00000000000..c968f89e43e
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse30.html
@@ -0,0 +1,382 @@
+<!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="2005-10-23 18:34:00">
+<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="colorbox375"><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="colorbox376"><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="colorbox377"><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="colorbox378"><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="colorbox379"><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-566-" ><colgroup id="TBL-566-1g"><col
+id="TBL-566-1"></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"> <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="colorbox380"><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="colorbox381"><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="colorbox382"><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-567-" ><colgroup id="TBL-567-1g"><col
+id="TBL-567-1"><col
+id="TBL-567-2"></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"> &nbsp;<object data="pgfmanual-645.svg" width="56.90549pt" height="56.90549pt" type="image/svg+xml"><p>SVG-Viewer needed.</p></object>&nbsp; </td><td align="left" style="white-space:nowrap; text-align:left;" id="TBL-567-1-2"
+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="colorbox383"><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="colorbox384"><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="colorbox385"><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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+<!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="2005-10-23 18:34:00">
+<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="colorbox386"><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-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="85.65823pt" height="57.20547pt" 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">\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="colorbox387"><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="colorbox388"><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-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="85.55821pt" height="57.10547pt" 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;\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="colorbox389"><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-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="28.65273pt" height="28.65273pt" 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;(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="colorbox390"><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-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="0.0pt" height="1.0pt" 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{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="colorbox391"><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="colorbox392"><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="colorbox393"><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="colorbox394"><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="colorbox395"><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>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse32.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse32.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="2005-10-23 18:34:00">
+<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="colorbox396"><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="colorbox397"><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="colorbox398"><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="colorbox399"><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="colorbox400">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="colorbox401">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="colorbox402">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>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse33.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse33.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>33 Commands 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="2005-10-23 18:34:00">
+<link rel="stylesheet" type="text/css" href="pgfmanual.css">
+</head><body
+>
+ <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="#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="colorbox403"><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="colorbox404"><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="colorbox405"><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="colorbox406"><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="colorbox407"><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="colorbox408"><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="colorbox409"><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="colorbox410"><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-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">\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="colorbox411"><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="colorbox412"><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-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}{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="colorbox413"><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="colorbox414"><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-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{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-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{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="colorbox415"><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="colorbox416"><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="colorbox417"><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="colorbox418"><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="colorbox419"><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="colorbox420"><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="colorbox421"><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="colorbox422"><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="colorbox423"><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="colorbox424"><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="colorbox425"><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="colorbox426"><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="colorbox427"><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="colorbox428"><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="colorbox429"><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="colorbox430"><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="colorbox431"><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="colorbox432"><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="colorbox433"><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="colorbox434"><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="colorbox435"><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="colorbox436"><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="colorbox437"><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="colorbox438"><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="colorbox439"><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="colorbox440"><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="colorbox441"><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="colorbox442"><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="colorbox443"><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="colorbox444"><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="colorbox445"><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="colorbox446"><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="colorbox447"><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="colorbox448"><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="colorbox449"><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="colorbox450"><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="colorbox451"><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="colorbox452"><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="colorbox453"><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="colorbox454"><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="colorbox455"><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="colorbox456"><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="colorbox457"><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="colorbox458"><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="colorbox459"><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="colorbox460"><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="colorbox461"><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="colorbox462"><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="colorbox463"><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="colorbox464"><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="colorbox465"><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"
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+<head><title>34 The Soft Path Subsystem</title>
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+>
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+ <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-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">\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-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">\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="colorbox466"><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="colorbox467"><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="colorbox468"><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="colorbox469"><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="colorbox470"><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-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">\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="colorbox471"><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="colorbox472"><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="colorbox473"><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="colorbox474"><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-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@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-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@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-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@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>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse35.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse35.html
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--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse35.html
@@ -0,0 +1,198 @@
+<!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="2005-10-23 18:34:00">
+<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-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">\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="colorbox475"><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="colorbox476"><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="colorbox477"><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="colorbox478"><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="colorbox479"><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="colorbox480"><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="colorbox481"><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="colorbox482"><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>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse36.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse36.html
new file mode 100644
index 00000000000..57a8afaf50c
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse36.html
@@ -0,0 +1,198 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
+ "http://www.w3.org/TR/html4/loose.dtd">
+<html >
+<head><title>36 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="2005-10-04 21:49:00">
+<link rel="stylesheet" type="text/css" href="pgfmanual.css">
+</head><body
+>
+ <div class="crosslinks"><p class="noindent">[<a
+href="pgfmanualse35.html" >prev</a>] [<a
+href="pgfmanualse35.html#tailpgfmanualse35.html" >prev-tail</a>] [<a
+href="#tail">tail</a>] [<a
+href="# " >up</a>] </p></div>
+ <h3 class="sectionHead"><span class="titlemark">36 </span> <a
+ id="x37-33200036"></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-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">\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="colorbox479"><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="dx37-332001"></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="colorbox480"><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="dx37-332002"></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="colorbox481"><span
+class="cmtt-10">\pgfsysprotocol@bufferedtrue</span></span> </dt><dd
+class="description">
+<a
+ id="dx37-332003"></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="colorbox482"><span
+class="cmtt-10">\pgfsysprotocol@bufferedfalse</span></span> </dt><dd
+class="description">
+<a
+ id="dx37-332004"></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="colorbox483"><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="dx37-332005"></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="colorbox484"><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="dx37-332006"></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="colorbox485"><span
+class="cmtt-10">\pgfsysprotocol@invokecurrentprotocol</span></span> </dt><dd
+class="description">
+<a
+ id="dx37-332007"></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="colorbox486"><span
+class="cmtt-10">\pgfsysprotocol@flushcurrentprotocol</span></span> </dt><dd
+class="description">
+<a
+ id="dx37-332008"></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="pgfmanualse35.html" >prev</a>] [<a
+href="pgfmanualse35.html#tailpgfmanualse35.html" >prev-tail</a>] [<a
+ >front</a>] [<a
+href="# " >up</a>] </p></div>
+<!--l. 319--><p class="indent"> <a
+ id="tail"></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)">
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+<!-- html -->
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+<meta name="date" content="2005-10-23 18:34:00">
+<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.gif" alt="p" class="10x-x-19" /> </span>is a
+ &#8220;<span
+class="cmmi-10"><img
+src="cmmi10-19.gif" 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.gif" 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.gif" 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="201.31825pt" height="144.03981pt" 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="317.93938pt" height="167.77208pt" 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="446.11816pt" height="177.5392pt" 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="120.4pt" height="40.4pt" 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>
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse5.html b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse5.html
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@@ -0,0 +1,630 @@
+<!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="2005-10-23 18:34:00">
+<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">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. 260--><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. 262--><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. 268--><p class="indent">
+ <dl class="description"><dt class="description">
+<span
+class="colorbox" id="colorbox5">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. 269--><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. 272--><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. 301--><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
+href="pgfmanualse4.html#tailpgfmanualse4.html" >prev-tail</a>] [<a
+href="pgfmanualse5.html" >front</a>] [<a
+href="pgfmanual.html#pgfmanualse5.html" >up</a>] </p></div>
+<!--l. 132--><p class="indent"> <a
+ id="tailpgfmanualse5.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>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)">
+<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="2005-10-23 18:34:00">
+<link rel="stylesheet" type="text/css" href="pgfmanual.css">
+</head><body
+>
+ <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="5.4pt" height="5.4pt" 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="9.01108pt" height="4.70554pt" 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="30.45274pt" height="2.0pt" 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="40.73573pt" height="35.06111pt" 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="88.1847pt" height="98.57181pt" 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="88.1847pt" height="98.57181pt" 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="114.55649pt" height="91.72525pt" 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="28.85274pt" height="28.85274pt" 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
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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>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="2005-10-23 18:34:00">
+<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="colorbox6"><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="colorbox7"><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="colorbox8"><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="colorbox9"><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="colorbox10"><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="colorbox11"><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="4.70554pt" height="4.70554pt" 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="4.70554pt" height="4.70554pt" 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="13.31662pt" height="1.0pt" 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="71.07144pt" height="41.95201pt" 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="colorbox12"><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="colorbox13"><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="colorbox14"><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="colorbox15"><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="9.01108pt" height="4.70554pt" 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="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="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="9.01108pt" height="4.70554pt" 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="colorbox17"><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="colorbox18"><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="colorbox19"><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="28.85274pt" height="14.62636pt" 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="colorbox20"><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="colorbox21"><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="colorbox22"><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="85.75822pt" height="28.85274pt" 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="114.11096pt" height="57.30548pt" 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="colorbox23"><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="114.11096pt" height="57.30548pt" 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="114.11096pt" height="57.30548pt" 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="114.11096pt" height="57.30548pt" 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
new file mode 100644
index 00000000000..8e0201cc182
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/en/pgfmanualse8.html
@@ -0,0 +1,1098 @@
+<!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="2005-10-23 18:34:00">
+<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="85.65822pt" height="57.20547pt" 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="53.49359pt" height="28.85274pt" 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="9.01108pt" height="4.70554pt" 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="39.80688pt" height="39.80688pt" 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="308.18724pt" height="72.30478pt" 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="90.83932pt" height="75.83109pt" 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="219.2255pt" height="142.7637pt" 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="42.18573pt" height="35.60237pt" 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="71.27144pt" height="35.60237pt" 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="85.75822pt" height="57.30548pt" 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="70.78343pt" height="53.71709pt" 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="85.75822pt" height="71.53185pt" 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="85.75822pt" height="71.53185pt" 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="71.53185pt" height="43.0791pt" 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
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@@ -0,0 +1,4719 @@
+<!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="2005-10-23 18:34:00">
+<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="colorbox24"><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="85.75822pt" height="28.85274pt" 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="85.75822pt" height="28.85274pt" 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="85.75822pt" height="28.85274pt" 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="85.75822pt" height="28.85274pt" 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="85.75822pt" height="28.85274pt" 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="colorbox25"><span id="textcolor26"><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="textcolor27">...<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="57.30548pt" height="28.85274pt" 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="colorbox28"><span id="textcolor29"><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="textcolor30">...<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="152.26372pt" height="47.67911pt" 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="colorbox31"><span id="textcolor32"><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="textcolor33">...<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="64.38846pt" height="49.82874pt" 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="colorbox34"><span id="textcolor35"><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="textcolor36">...<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="86.15822pt" height="95.90797pt" 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="90.73915pt" height="62.295pt" 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="89.4185pt" height="62.3028pt" 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="85.65822pt" height="57.34164pt" 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="85.65822pt" height="57.99251pt" 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="85.65822pt" height="57.34164pt" 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="70.86311pt" height="41.95201pt" 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="70.86311pt" height="41.95201pt" 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="70.93256pt" height="70.40475pt" 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="70.93256pt" height="70.40475pt" 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="70.93256pt" height="70.40475pt" 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="70.93256pt" height="70.40475pt" 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="70.86311pt" height="14.0207pt" 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="70.86311pt" height="71.01807pt" 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="70.93256pt" height="70.40475pt" 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="colorbox37"><span id="textcolor38"><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="textcolor39">...<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="152.26372pt" height="38.45274pt" 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="152.26372pt" height="47.67911pt" 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="colorbox40"><span id="textcolor41"><span
+class="cmtt-10">\path</span>&nbsp;&nbsp;...</span> <span
+class="cmtt-10">--cycle</span>&nbsp;<span id="textcolor42">...<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="237.62195pt" height="47.67911pt" 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="colorbox43"><span id="textcolor44"><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="textcolor45">...<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="99.98459pt" height="43.0791pt" 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="114.21097pt" height="28.85274pt" 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="40.4pt" height="25.4pt" 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="57.30548pt" height="28.85274pt" 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="20.4pt" height="9.01108pt" 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="colorbox46"><span id="textcolor47"><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="textcolor48">...<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="colorbox49"><span id="textcolor50"><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="textcolor51">...<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="220.90874pt" height="35.9659pt" 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="colorbox52"><span id="textcolor53"><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="textcolor54">...<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="228.02194pt" height="43.07912pt" 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="106.58725pt" height="57.3055pt" 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="colorbox55"><span id="textcolor56"><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="textcolor57">...<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="78.13446pt" height="78.13446pt" 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="85.55821pt" height="85.55821pt" 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="9.01108pt" height="6.8583pt" 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="colorbox58"><span id="textcolor59"><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="textcolor60">...<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="114.211pt" height="50.19229pt" 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="114.11096pt" height="57.30548pt" 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="114.11096pt" height="57.3055pt" 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="colorbox61"><span id="textcolor62"><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="textcolor63">...<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.gif" 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="101.97649pt" height="28.85274pt" 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="colorbox64"><span id="textcolor65"><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="textcolor66">...<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.gif" 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="223.75502pt" height="85.75821pt" 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.gif" 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="colorbox67"><span id="textcolor68"><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="textcolor69">...<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="colorbox70"><span id="textcolor71"><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="textcolor72">...<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="85.75822pt" height="28.85274pt" 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="256.47475pt" height="28.85274pt" 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="287.35587pt" height="59.72435pt" 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;&#34;../plots/pgfmanual-sine.table&#34;</span>
+<br><span
+class="cmtt-8">set</span><span
+class="cmtt-8">&nbsp;format</span><span
+class="cmtt-8">&nbsp;&#34;</span><span
+class="cmsltt-10x-x-80">%.5f&#34;</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="186.39253pt" height="170.71059pt" 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="26.40906pt" height="89.77023pt" 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="46.67911pt" height="9.69046pt" 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="287.99155pt" height="59.89592pt" 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="284.92743pt" height="57.5319pt" 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="57.30548pt" height="185.34288pt" 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="28.85274pt" height="34.77437pt" 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="288.52744pt" height="60.89592pt" 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="64.90549pt" height="41.98865pt" 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="30.06696pt" height="31.28117pt" 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="64.03284pt" height="82.04958pt" 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="88.18666pt" height="59.73392pt" 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
new file mode 100644
index 00000000000..02bf46fe90b
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-tex4ht/pgfmanual-tex4ht.cfg
@@ -0,0 +1,122 @@
+% 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.
+
+% Make sure to use tex4ht (or htlatex, to be precise) to compile this.
+
+\usepackage{tex4ht}
+\def\pgfsysdriver{pgfsys-tex4ht.def}
+
+\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}
+\definecolor{declarebg}{rgb}{1,0.8,0.8}
+\definecolor{gray}{gray}{.5}
+
+% Patches of macros...
+\renewenvironment{pgfmanualentry}{\begin{description}}{\end{description}}
+\renewcommand\pgfmanualentryheadline[1]{\item[\colorbox{declarebg}{\normalfont{#1}}]\par}
+\renewcommand\pgfmanualbody{}
+
+\def\endofcodeexample#1{%
+ \endgroup%
+ \ifcode@execute%
+ \setbox\codeexamplebox=\hbox{%
+ {%
+ {%
+ \returntospace%
+ \commenthandler%
+ \xdef\code@temp{#1}% removes returns and comments
+ }%
+ \color{black}\ignorespaces%
+ \expandafter\scantokens\expandafter{\code@temp\ignorespaces}\ignorespaces%
+ }%
+ }%
+ \ifdim\wd\codeexamplebox>\codeexamplewidth%
+ \box\codeexamplebox
+ \begin{tabular}{>{\columncolor{codebackground}}l}
+ \begin{minipage}{\textwidth}
+ {%
+ \let\do\@makeother
+ \dospecials
+ \frenchspacing\@vobeyspaces
+ \normalfont\ttfamily\footnotesize
+ \typesetcomment%
+ \@tempswafalse
+ \def\par{%
+ \if@tempswa
+ \leavevmode \null \@@par\penalty\interlinepenalty
+ \else
+ \@tempswatrue
+ \ifhmode\@@par\penalty\interlinepenalty\fi
+ \fi}%
+ \obeylines
+ \everypar \expandafter{\the\everypar \unpenalty}%
+ #1}
+ \end{minipage}
+ \end{tabular}%
+ \else
+ \begin{tabular}{>{\columncolor{graphicbackground}}l>{\columncolor{codebackground}}l}
+ \ \box\codeexamplebox\ \par &
+ \begin{minipage}[t]{\textwidth}
+ {\let\do\@makeother
+ \dospecials
+ \frenchspacing\@vobeyspaces
+ \normalfont\ttfamily\footnotesize
+ \typesetcomment%
+ \@tempswafalse
+ \def\par{%
+ \if@tempswa
+ \leavevmode \null \@@par\penalty\interlinepenalty
+ \else
+ \@tempswatrue
+ \ifhmode\@@par\penalty\interlinepenalty\fi
+ \fi}%
+ \obeylines
+ \everypar \expandafter{\the\everypar \unpenalty}%
+ #1}
+ \end{minipage}
+ \end{tabular}
+ \fi
+ \else%
+ \begin{tabular}{>{\columncolor{codebackground}}l}
+ \begin{minipage}[t]{\textwidth}
+ {%
+ \let\do\@makeother
+ \dospecials
+ \frenchspacing\@vobeyspaces
+ \normalfont\ttfamily\footnotesize
+ \typesetcomment%
+ \@tempswafalse
+ \def\par{%
+ \if@tempswa
+ \leavevmode \null \@@par\penalty\interlinepenalty
+ \else
+ \@tempswatrue
+ \ifhmode\@@par\penalty\interlinepenalty\fi
+ \fi}%
+ \obeylines
+ \everypar \expandafter{\the\everypar \unpenalty}%
+ #1}
+ \end{minipage}
+ \end{tabular}%
+ \fi%
+ \par%
+ \end{codeexample}
+}
+}
+
+
+
+\makeatother
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/Makefile b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/Makefile
new file mode 100644
index 00000000000..7fdb891cba0
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/Makefile
@@ -0,0 +1,18 @@
+rerun = "(There were undefined references|Rerun to get (cross-references|the bars) right)"
+doc = pgfmanual
+latex = vlatex
+
+all: $(doc).ps
+
+pgfmanual.idx:
+ touch pgfmanual.idx
+
+pgfmanual.ind: pgfmanual.idx
+ makeindex $(doc).idx
+
+pgfmanual.ps: $(doc).tex $(doc).ind
+ $(latex) $(doc).tex
+ (egrep -q $(rerun) $(doc).log && $(latex) $(doc).tex) || true
+
+clean:
+ rm -f *.aux *.log *.bbl *.blg *.ps *.dvi *.pdf *.toc *.out *.snm
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
new file mode 100644
index 00000000000..746ed93a170
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/pgfmanual.tex
@@ -0,0 +1,13 @@
+\documentclass[a4paper]{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
+
+\input{../pgfmanual-vtex.cfg}
+\input{../../text-en/pgfmanual-en-main.tex}
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-asymptotic-example.gnuplot b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-asymptotic-example.gnuplot
new file mode 100644
index 00000000000..4c854afda9f
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-asymptotic-example.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgf-asymptotic-example.table"; set format "%.5f"
+set samples 200; set parametric; plot [t=0.4:1.5] (t*t*t)*sin(1/(t*t*t)),(t*t*t)*cos(1/(t*t*t))
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-asymptotic-example.table b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-asymptotic-example.table
new file mode 100644
index 00000000000..173ab5e9c77
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-asymptotic-example.table
@@ -0,0 +1,204 @@
+#Curve 0, 200 points
+#x y type
+0.00530 -0.06378 i
+0.04363 -0.05043 i
+0.06711 -0.01790 i
+0.06896 0.02170 i
+0.05014 0.05606 i
+0.01712 0.07631 i
+-0.02110 0.07849 i
+-0.05579 0.06337 i
+-0.08032 0.03512 i
+-0.09097 -0.00029 i
+-0.08696 -0.03664 i
+-0.06987 -0.06850 i
+-0.04284 -0.09192 i
+-0.00982 -0.10460 i
+0.02515 -0.10585 i
+0.05841 -0.09629 i
+0.08703 -0.07749 i
+0.10892 -0.05162 i
+0.12282 -0.02111 i
+0.12828 0.01163 i
+0.12547 0.04436 i
+0.11507 0.07518 i
+0.09810 0.10255 i
+0.07579 0.12534 i
+0.04948 0.14280 i
+0.02048 0.15454 i
+-0.00995 0.16043 i
+-0.04065 0.16063 i
+-0.07063 0.15545 i
+-0.09905 0.14536 i
+-0.12521 0.13092 i
+-0.14860 0.11273 i
+-0.16882 0.09143 i
+-0.18562 0.06764 i
+-0.19885 0.04197 i
+-0.20848 0.01500 i
+-0.21454 -0.01276 i
+-0.21712 -0.04083 i
+-0.21637 -0.06879 i
+-0.21247 -0.09627 i
+-0.20565 -0.12295 i
+-0.19613 -0.14858 i
+-0.18415 -0.17294 i
+-0.16996 -0.19585 i
+-0.15379 -0.21718 i
+-0.13589 -0.23682 i
+-0.11647 -0.25471 i
+-0.09576 -0.27080 i
+-0.07396 -0.28508 i
+-0.05126 -0.29753 i
+-0.02783 -0.30819 i
+-0.00384 -0.31707 i
+0.02057 -0.32421 i
+0.04526 -0.32967 i
+0.07011 -0.33350 i
+0.09502 -0.33576 i
+0.11989 -0.33651 i
+0.14463 -0.33582 i
+0.16917 -0.33376 i
+0.19345 -0.33040 i
+0.21741 -0.32580 i
+0.24100 -0.32003 i
+0.26418 -0.31315 i
+0.28691 -0.30524 i
+0.30918 -0.29634 i
+0.33096 -0.28653 i
+0.35222 -0.27585 i
+0.37297 -0.26437 i
+0.39318 -0.25213 i
+0.41285 -0.23918 i
+0.43197 -0.22557 i
+0.45056 -0.21134 i
+0.46860 -0.19654 i
+0.48611 -0.18119 i
+0.50309 -0.16535 i
+0.51954 -0.14904 i
+0.53547 -0.13229 i
+0.55090 -0.11514 i
+0.56582 -0.09761 i
+0.58026 -0.07972 i
+0.59422 -0.06150 i
+0.60772 -0.04298 i
+0.62076 -0.02416 i
+0.63336 -0.00508 i
+0.64554 0.01425 i
+0.65729 0.03382 i
+0.66864 0.05361 i
+0.67960 0.07361 i
+0.69018 0.09381 i
+0.70039 0.11420 i
+0.71024 0.13475 i
+0.71975 0.15548 i
+0.72892 0.17636 i
+0.73778 0.19739 i
+0.74632 0.21857 i
+0.75456 0.23989 i
+0.76251 0.26134 i
+0.77018 0.28291 i
+0.77759 0.30461 i
+0.78473 0.32643 i
+0.79162 0.34837 i
+0.79826 0.37042 i
+0.80468 0.39258 i
+0.81087 0.41485 i
+0.81684 0.43723 i
+0.82261 0.45972 i
+0.82817 0.48232 i
+0.83354 0.50502 i
+0.83872 0.52782 i
+0.84372 0.55073 i
+0.84855 0.57374 i
+0.85321 0.59686 i
+0.85772 0.62009 i
+0.86206 0.64342 i
+0.86626 0.66685 i
+0.87032 0.69040 i
+0.87423 0.71405 i
+0.87801 0.73781 i
+0.88167 0.76169 i
+0.88520 0.78567 i
+0.88861 0.80977 i
+0.89191 0.83398 i
+0.89510 0.85831 i
+0.89818 0.88276 i
+0.90115 0.90733 i
+0.90403 0.93202 i
+0.90682 0.95683 i
+0.90951 0.98177 i
+0.91211 1.00683 i
+0.91463 1.03202 i
+0.91707 1.05735 i
+0.91942 1.08280 i
+0.92171 1.10839 i
+0.92391 1.13411 i
+0.92605 1.15998 i
+0.92812 1.18598 i
+0.93012 1.21213 i
+0.93205 1.23842 i
+0.93393 1.26485 i
+0.93575 1.29143 i
+0.93751 1.31817 i
+0.93921 1.34505 i
+0.94086 1.37209 i
+0.94246 1.39929 i
+0.94401 1.42664 i
+0.94552 1.45415 i
+0.94697 1.48183 i
+0.94838 1.50967 i
+0.94975 1.53767 i
+0.95108 1.56584 i
+0.95236 1.59418 i
+0.95361 1.62270 i
+0.95482 1.65138 i
+0.95600 1.68025 i
+0.95713 1.70928 i
+0.95824 1.73850 i
+0.95931 1.76790 i
+0.96035 1.79748 i
+0.96136 1.82725 i
+0.96234 1.85720 i
+0.96329 1.88735 i
+0.96422 1.91768 i
+0.96511 1.94820 i
+0.96598 1.97892 i
+0.96683 2.00983 i
+0.96765 2.04094 i
+0.96845 2.07225 i
+0.96922 2.10376 i
+0.96998 2.13547 i
+0.97071 2.16739 i
+0.97142 2.19952 i
+0.97211 2.23185 i
+0.97278 2.26439 i
+0.97344 2.29714 i
+0.97407 2.33010 i
+0.97469 2.36328 i
+0.97529 2.39667 i
+0.97588 2.43028 i
+0.97644 2.46411 i
+0.97700 2.49817 i
+0.97754 2.53244 i
+0.97806 2.56694 i
+0.97857 2.60166 i
+0.97906 2.63661 i
+0.97955 2.67179 i
+0.98001 2.70720 i
+0.98047 2.74284 i
+0.98092 2.77871 i
+0.98135 2.81482 i
+0.98177 2.85117 i
+0.98218 2.88775 i
+0.98258 2.92457 i
+0.98297 2.96163 i
+0.98335 2.99894 i
+0.98372 3.03649 i
+0.98408 3.07428 i
+0.98443 3.11232 i
+0.98477 3.15061 i
+0.98511 3.18914 i
+0.98543 3.22793 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-exp.gnuplot b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-exp.gnuplot
new file mode 100644
index 00000000000..1d34e313af8
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-exp.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgf-exp.table"; set format "%.5f"
+set samples 25; plot [x=0:4] 0.05*exp(x)
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-exp.table b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-exp.table
new file mode 100644
index 00000000000..8e728570397
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-exp.table
@@ -0,0 +1,29 @@
+#Curve 0, 25 points
+#x y type
+0.00000 0.05000 i
+0.16667 0.05907 i
+0.33333 0.06978 i
+0.50000 0.08244 i
+0.66667 0.09739 i
+0.83333 0.11505 i
+1.00000 0.13591 i
+1.16667 0.16056 i
+1.33333 0.18968 i
+1.50000 0.22408 i
+1.66667 0.26472 i
+1.83333 0.31274 i
+2.00000 0.36945 i
+2.16667 0.43646 i
+2.33333 0.51561 i
+2.50000 0.60912 i
+2.66667 0.71960 i
+2.83333 0.85010 i
+3.00000 1.00428 i
+3.16667 1.18641 i
+3.33333 1.40158 i
+3.50000 1.65577 i
+3.66667 1.95606 i
+3.83333 2.31082 i
+4.00000 2.72991 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-parametric-example.gnuplot b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-parametric-example.gnuplot
new file mode 100644
index 00000000000..e1c3f3b52f2
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-parametric-example.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgf-parametric-example.table"; set format "%.5f"
+set samples 25; set parametric; plot [t=-3.141:3.141] t*sin(t),t*cos(t)
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-parametric-example.table b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-parametric-example.table
new file mode 100644
index 00000000000..de0c383ddde
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-parametric-example.table
@@ -0,0 +1,29 @@
+#Curve 0, 25 points
+#x y type
+0.00186 3.14100 i
+0.74672 2.78074 i
+1.30987 2.26617 i
+1.66651 1.66503 i
+1.81387 1.04628 i
+1.76998 0.47361 i
+1.57050 -0.00047 i
+1.26407 -0.33904 i
+0.90663 -0.52368 i
+0.55517 -0.55534 i
+0.26171 -0.45339 i
+0.06773 -0.25283 i
+0.00000 -0.00000 i
+0.06773 0.25283 i
+0.26171 0.45339 i
+0.55517 0.55534 i
+0.90663 0.52368 i
+1.26407 0.33904 i
+1.57050 0.00047 i
+1.76998 -0.47361 i
+1.81387 -1.04628 i
+1.66651 -1.66503 i
+1.30987 -2.26617 i
+0.74672 -2.78074 i
+0.00186 -3.14100 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-sin.gnuplot b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-sin.gnuplot
new file mode 100644
index 00000000000..884d534bf4a
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-sin.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgf-sin.table"; set format "%.5f"
+set samples 25; plot [x=0:4] sin(x)
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-sin.table b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-sin.table
new file mode 100644
index 00000000000..9ab8f2c8d56
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-sin.table
@@ -0,0 +1,29 @@
+#Curve 0, 25 points
+#x y type
+0.00000 0.00000 i
+0.16667 0.16590 i
+0.33333 0.32719 i
+0.50000 0.47943 i
+0.66667 0.61837 i
+0.83333 0.74018 i
+1.00000 0.84147 i
+1.16667 0.91944 i
+1.33333 0.97194 i
+1.50000 0.99749 i
+1.66667 0.99541 i
+1.83333 0.96573 i
+2.00000 0.90930 i
+2.16667 0.82766 i
+2.33333 0.72309 i
+2.50000 0.59847 i
+2.66667 0.45727 i
+2.83333 0.30340 i
+3.00000 0.14112 i
+3.16667 -0.02507 i
+3.33333 -0.19057 i
+3.50000 -0.35078 i
+3.66667 -0.50128 i
+3.83333 -0.63788 i
+4.00000 -0.75680 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-x.gnuplot b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-x.gnuplot
new file mode 100644
index 00000000000..bb95994cd89
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-x.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgf-x.table"; set format "%.5f"
+set samples 25; plot [x=0:4] x
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-x.table b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-x.table
new file mode 100644
index 00000000000..329b9fa56b5
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgf-x.table
@@ -0,0 +1,29 @@
+#Curve 0, 25 points
+#x y type
+0.00000 0.00000 i
+0.16667 0.16667 i
+0.33333 0.33333 i
+0.50000 0.50000 i
+0.66667 0.66667 i
+0.83333 0.83333 i
+1.00000 1.00000 i
+1.16667 1.16667 i
+1.33333 1.33333 i
+1.50000 1.50000 i
+1.66667 1.66667 i
+1.83333 1.83333 i
+2.00000 2.00000 i
+2.16667 2.16667 i
+2.33333 2.33333 i
+2.50000 2.50000 i
+2.66667 2.66667 i
+2.83333 2.83333 i
+3.00000 3.00000 i
+3.16667 3.16667 i
+3.33333 3.33333 i
+3.50000 3.50000 i
+3.66667 3.66667 i
+3.83333 3.83333 i
+4.00000 4.00000 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfmanual-sine.gnuplot b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfmanual-sine.gnuplot
new file mode 100644
index 00000000000..8e3f24b9172
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfmanual-sine.gnuplot
@@ -0,0 +1,5 @@
+set terminal table
+set output "pgfmanual-sine.table"
+set format "%.5f"
+set samples 20
+plot [x=0:10] sin(x)
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfmanual-sine.table b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfmanual-sine.table
new file mode 100644
index 00000000000..9d5d248a561
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfmanual-sine.table
@@ -0,0 +1,24 @@
+#Curve 0, 20 points
+#x y type
+0.00000 0.00000 i
+0.52632 0.50235 i
+1.05263 0.86873 i
+1.57895 0.99997 i
+2.10526 0.86054 i
+2.63158 0.48819 i
+3.15789 -0.01630 i
+3.68421 -0.51638 i
+4.21053 -0.87669 i
+4.73684 -0.99970 i
+5.26316 -0.85212 i
+5.78947 -0.47390 i
+6.31579 0.03260 i
+6.84211 0.53027 i
+7.36842 0.88441 i
+7.89474 0.99917 i
+8.42105 0.84348 i
+8.94737 0.45948 i
+9.47368 -0.04889 i
+10.00000 -0.54402 i
+
+
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfplotgnuplot-example.gnuplot b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfplotgnuplot-example.gnuplot
new file mode 100644
index 00000000000..3bd81ae92d1
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfplotgnuplot-example.gnuplot
@@ -0,0 +1,2 @@
+set terminal table; set output "plots/pgfplotgnuplot-example.table"; set format "%.5f"
+plot [x=0:3.5] x*sin(x)
diff --git a/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfplotgnuplot-example.table b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfplotgnuplot-example.table
new file mode 100644
index 00000000000..a4e517898a8
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/en/plots/pgfplotgnuplot-example.table
@@ -0,0 +1,104 @@
+#Curve 0, 100 points
+#x y type
+0.00000 0.00000 i
+0.03535 0.00125 i
+0.07071 0.00500 i
+0.10606 0.01123 i
+0.14141 0.01993 i
+0.17677 0.03108 i
+0.21212 0.04466 i
+0.24747 0.06062 i
+0.28283 0.07893 i
+0.31818 0.09954 i
+0.35354 0.12240 i
+0.38889 0.14745 i
+0.42424 0.17463 i
+0.45960 0.20387 i
+0.49495 0.23509 i
+0.53030 0.26822 i
+0.56566 0.30318 i
+0.60101 0.33986 i
+0.63636 0.37817 i
+0.67172 0.41803 i
+0.70707 0.45932 i
+0.74242 0.50194 i
+0.77778 0.54577 i
+0.81313 0.59069 i
+0.84848 0.63660 i
+0.88384 0.68337 i
+0.91919 0.73086 i
+0.95455 0.77896 i
+0.98990 0.82753 i
+1.02525 0.87643 i
+1.06061 0.92554 i
+1.09596 0.97471 i
+1.13131 1.02381 i
+1.16667 1.07269 i
+1.20202 1.12121 i
+1.23737 1.16923 i
+1.27273 1.21661 i
+1.30808 1.26320 i
+1.34343 1.30886 i
+1.37879 1.35345 i
+1.41414 1.39682 i
+1.44949 1.43884 i
+1.48485 1.47937 i
+1.52020 1.51826 i
+1.55556 1.55537 i
+1.59091 1.59059 i
+1.62626 1.62376 i
+1.66162 1.65477 i
+1.69697 1.68348 i
+1.73232 1.70977 i
+1.76768 1.73353 i
+1.80303 1.75463 i
+1.83838 1.77296 i
+1.87374 1.78841 i
+1.90909 1.80089 i
+1.94444 1.81028 i
+1.97980 1.81650 i
+2.01515 1.81946 i
+2.05051 1.81906 i
+2.08586 1.81524 i
+2.12121 1.80792 i
+2.15657 1.79704 i
+2.19192 1.78252 i
+2.22727 1.76433 i
+2.26263 1.74240 i
+2.29798 1.71671 i
+2.33333 1.68720 i
+2.36869 1.65386 i
+2.40404 1.61667 i
+2.43939 1.57560 i
+2.47475 1.53066 i
+2.51010 1.48184 i
+2.54545 1.42915 i
+2.58081 1.37260 i
+2.61616 1.31223 i
+2.65152 1.24805 i
+2.68687 1.18011 i
+2.72222 1.10845 i
+2.75758 1.03312 i
+2.79293 0.95418 i
+2.82828 0.87170 i
+2.86364 0.78576 i
+2.89899 0.69642 i
+2.93434 0.60380 i
+2.96970 0.50797 i
+3.00505 0.40904 i
+3.04040 0.30713 i
+3.07576 0.20235 i
+3.11111 0.09482 i
+3.14646 -0.01533 i
+3.18182 -0.12796 i
+3.21717 -0.24292 i
+3.25253 -0.36007 i
+3.28788 -0.47926 i
+3.32323 -0.60032 i
+3.35859 -0.72308 i
+3.39394 -0.84739 i
+3.42929 -0.97305 i
+3.46465 -1.09990 i
+3.50000 -1.22774 i
+
+
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
new file mode 100644
index 00000000000..0008952aa18
--- /dev/null
+++ b/Master/texmf-dist/doc/generic/pgf/version-for-vtex/pgfmanual-vtex.cfg
@@ -0,0 +1,13 @@
+% 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.
+
+\usepackage[vtex]{graphics}
+\usepackage{hyperref}
+
+\let\command=\undefined
+\let\endcommand=\undefined
+
+% Just make sure that you compile this using elatex + dvips