summaryrefslogtreecommitdiff
path: root/Master/texmf-dist/tex/generic/pgf/basiclayer
diff options
context:
space:
mode:
Diffstat (limited to 'Master/texmf-dist/tex/generic/pgf/basiclayer')
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex32
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex513
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex230
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex101
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex890
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex465
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex228
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex1173
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex134
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex571
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex580
-rw-r--r--Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex632
12 files changed, 5549 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
new file mode 100644
index 00000000000..b76772cc4ac
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex
@@ -0,0 +1,32 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcore.code.tex,v 1.6 2008/01/15 10:27:34 tantau Exp $
+
+\newif\ifpgf@draftmode
+
+\input pgfmath.code.tex
+
+\input pgfcorepoints.code.tex
+\input pgfcorepathconstruct.code.tex
+\input pgfcorepathusage.code.tex
+\input pgfcorescopes.code.tex
+\input pgfcoregraphicstate.code.tex
+\input pgfcoretransformations.code.tex
+\input pgfcorequick.code.tex
+\input pgfcoreobjects.code.tex
+\input pgfcorepathprocessing.code.tex
+\input pgfcorearrows.code.tex
+\input pgfcoreshade.code.tex
+\input pgfcoreimage.code.tex
+\input pgfcorelayers.code.tex
+\input pgfcoretransparency.code.tex
+\input pgfcorepatterns.code.tex
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex
new file mode 100644
index 00000000000..bdf4906c1be
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex
@@ -0,0 +1,513 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorearrows.code.tex,v 1.8 2007/06/07 07:41:10 tantau Exp $
+
+
+% Sets the end arrow
+%
+% #1 = An arrow name
+%
+% Example:
+%
+% \pgfsetarrowsend{stealth}
+
+\def\pgfsetarrowsend#1{\pgf@arrowset{end}{#1}}
+\def\pgf@arrowset#1#2{%
+ \pgfutil@ifundefined{pgf@arrow@code@#2}
+ {\PackageError{pgf}{Arrow #1 type ``#2'' unknown}{}}
+ {%
+ \edef\pgf@arrow@temp{#2}%
+ \ifx\pgf@arrow@temp\pgfutil@empty% ah. clear!
+ \expandafter\let\csname pgf@#1arrow\endcsname=\pgfutil@empty%
+ \expandafter\let\csname pgf@shorten@#1\endcsname=\pgfutil@empty%
+ \else%
+ %\pgf@arrow@prepare{#2}%
+ \expandafter\def\csname pgf@#1arrow\endcsname{\pgf@arrow@call{#2}}%
+ \expandafter\edef\csname pgf@shorten@#1\endcsname{\expandafter\noexpand\csname pgf@arrow@right@#2\endcsname}%
+ \fi%
+ }%
+}
+
+
+% Sets the start arrow
+%
+% #1 = An arrow name
+%
+% Example:
+%
+% \pgfsetarrowsstart{stealth}
+
+\def\pgfsetarrowsstart#1{\pgf@arrowset{start}{\csname pgf@arrows@invert#1\endcsname}}
+
+\def\pgf@arrows@invname#1#2{\expandafter\def\csname pgf@arrows@invert#1\endcsname{#2}}
+\pgf@arrows@invname{}{}
+
+
+
+
+% Sets arrows
+%
+% #1 = An arrow specification of the form ``left''-``right''. The last
+% and right should be arrow types that have been defined using
+% the \pgfarrowsdef command
+%
+% Example:
+%
+% \pgfsetarrows{-to}
+
+\def\pgfsetarrows#1{\pgf@arrows#1\pgf@stop}
+\def\pgf@arrows#1-#2\pgf@stop{%
+ \pgfsetarrowsstart{#1}
+ \pgfsetarrowsend{#2}
+}
+
+\def\pgf@arrows@checked#1#2#3{%
+ \pgfutil@ifundefined{pgf@arrow@code@#2}%
+ {%
+ \PackageError{pgf}{Arrow end type ``#2'' unknown}{}}%
+ {%
+ \pgfutil@ifundefined{pgf@arrow@code@\csname pgf@arrows@invert#1\endcsname}
+ {\PackageError{pgf}{Arrow start type ``#1'' unknown}{}}%
+ {#3}%
+ }%
+}
+
+\def\pgf@arrows@check@already#1#2#3{%
+ \pgfutil@ifundefined{pgf@arrow@code@#2}
+ {#3}%
+ {\PackageError{pgf}{Arrow end type ``#2'' already defined}{}}%
+}
+
+
+% Called when an arrow needs to be rendered
+
+\def\pgf@arrow@call#1{%
+ \expandafter\ifx\csname pgf@arrow@prot@#1@\the\pgflinewidth\endcsname\relax%
+ \pgfsysprotocol@getcurrentprotocol\pgf@arrow@temp%
+ {%
+ \pgfinterruptpath%
+ \let\pgfusepath=\pgf@nousepath@here%
+ \pgf@relevantforpicturesizefalse%
+ \pgftransformreset%
+ \pgfsysprotocol@setcurrentprotocol\pgfutil@empty%
+ \pgfsysprotocol@bufferedtrue%
+ \pgfsys@beginscope%
+ \csname pgf@arrow@code@#1\endcsname%
+ \pgfsys@endscope%
+ \pgfsysprotocol@getcurrentprotocol\pgf@@arrow@temp%
+ \global\let\pgf@@arrow@temp=\pgf@@arrow@temp%
+ \endpgfinterruptpath%
+ \expandafter\def\expandafter\pgf@temp\expandafter{\expandafter\pgfsys@invoke\expandafter{\pgf@@arrow@temp}}%
+ \expandafter\global\expandafter\let\csname pgf@arrow@prot@#1@\the\pgflinewidth\endcsname=\pgf@temp%
+ }%
+ \pgfsysprotocol@setcurrentprotocol\pgf@arrow@temp%
+ \fi%
+ \csname pgf@arrow@prot@#1@\the\pgflinewidth\endcsname%
+}
+
+\def\pgf@arrow@code@{} % dummy
+
+\def\pgf@nousepath@here#1{%
+ \PackageError{pgf}{The definition of an arrow may not use \string\pgfusepath}{}
+}
+
+
+
+% Define an arrow type.
+%
+% #1 = name or mnemonic for arrow when used at the start (examples: ``to'' or ``<'')
+% #2 = name or mnemonic for arrow when used at the end (examples: ``to'' or ``>'')
+% #3 = code to setup the left and right extend of the arrow. To set
+% the left extend, call \pgfarrowsleftextend, for the right \pgfarrowsrightextend.
+% #4 = protocolable code
+%
+% Description:
+%
+% When you define an arrow using this command, you must give two
+% names. The first is used for the arrow when it is ``at the start'',
+% the other when it is at the end. For example, a simple arrow might
+% have the names ``<'' and ``>'', though these particular names are
+% not used by pgf and left for the user.
+%
+% The code should be ``protocolable'' code. This means that it uses
+% only pretty simple commands.
+%
+% The arrow code will be protocolled once for each line width at which
+% the arrow is used. Thus, the code can (and often should) depend on
+% the line width.
+%
+% The arrow should ``point right'' in the coordinate system. The end
+% of the line at which the arrow should be drawn will be at the origin
+% of the coordinate system. The coordinate system will be scaled and
+% rotated appropriately before the arrow is drawn.
+%
+% The right extend of the arrow should be set to how much the arrow
+% ``protrudes over the right''. Prior to drawing the arrow, the line
+% will be shortened by this amount so that the arrow tip will exactly
+% touch the original right end of the unshortened line.
+%
+% The left extend specifies the leftmost point of the arrow. This is
+% important only if you use the swapping command, when this end is
+% used to compute the shortening.
+%
+% The definition of an arrow should normally take care of the fact
+% that the line cap of the main line may be a butt cap, a round cap or
+% a rect cap. In all cases, the arrow should ``cover'' the cap
+% completely or not at all.
+%
+% Example:
+%
+% \pgfarrowsdeclare{stealth}{stealth}
+% {
+% \pgfarrowsleftextend{-6\pgflinewidth}
+% \pgfarrowsrightextend{2\pgflinewidth}
+% {
+% \pgfpathmoveto{\pgfpoint{2\pgflinewidth}{0pt}}
+% \pgfpathlineto{\pgfpoint{-6\pgflinewidth}{4\pgflinewidth}}
+% \pgfpathlineto{\pgfpoint{-3\pgflinewidth}{0pt}}
+% \pgfpathlineto{\pgfpoint{-6\pgflinewidth}{-4\pgflinewidth}}
+% \pgfusepathqfill
+% }
+
+\def\pgfarrowsdeclare#1#2#3#4{%
+ \pgf@arrows@check@already{#1}{#2}
+ {%
+ \expandafter\def\csname pgf@arrow@code@#2\endcsname{#4}%
+ \expandafter\def\csname pgf@arrow@left@#2\endcsname{#3\advance\pgf@x by-\pgf@xa}%
+ \expandafter\def\csname pgf@arrow@right@#2\endcsname{#3\advance\pgf@x by\pgf@xb}%
+ \pgf@arrows@invname{#1}{#2}%
+ }%
+}
+
+\def\pgfarrowsleftextend#1{\pgfmathsetlength\pgf@xa{#1}}
+\def\pgfarrowsrightextend#1{\pgfmathsetlength\pgf@xb{#1}}
+
+\def\pgf@arrows@repeat#1#2{%
+ \edef\pgf@arrows@marshal{\noexpand\let\expandafter\noexpand\csname#2\endcsname=\expandafter\noexpand\csname#1\endcsname}%
+ \pgf@arrows@marshal}
+
+
+
+% Declare a new arrow type to be the same as another one.
+%
+% #1 = name of new start
+% #2 = name or new end
+% #3 = name or old start
+% #4 = name or old end
+%
+% Example:
+%
+% \pgfarrowsdeclarealias{<}{>}{to}{to}
+
+\def\pgfarrowsdeclarealias#1#2#3#4{%
+ \pgf@arrows@check@already{#1}{#2}
+ {%
+ \pgf@arrows@checked{#3}{#4}%
+ {%
+ \pgf@arrows@repeat{pgf@arrow@code@#4}{pgf@arrow@code@#2}%
+ \pgf@arrows@repeat{pgf@arrow@left@#4}{pgf@arrow@left@#2}%
+ \pgf@arrows@repeat{pgf@arrow@right@#4}{pgf@arrow@right@#2}%
+ \pgf@arrows@invname{#1}{#2}%
+ }%
+ }%
+}
+
+
+
+
+% Creates a new arrows by ``swapping'' an existing arrow.
+%
+% #1 = name of new start
+% #2 = name of new end
+% #3 = name of old start
+% #4 = name of old end
+%
+% Example:
+%
+% \pgfarrowsdeclarealias{]}{[}{[}{]}
+
+\def\pgfarrowsdeclarereversed#1#2#3#4{%
+ \pgf@arrows@check@already{#1}{#2}%
+ {%
+ \pgf@arrows@checked{#3}{#4}%
+ {%
+ \expandafter\def\csname pgf@arrow@code@#2\endcsname{%
+ \pgflowlevel{\pgftransformxscale{-1}}%
+ \csname pgf@arrow@code@#4\endcsname}%
+ \pgf@arrows@repeat{pgf@arrow@right@#4}{pgf@arrow@left@#2}%
+ \pgf@arrows@repeat{pgf@arrow@left@#4}{pgf@arrow@right@#2}%
+ \pgf@arrows@invname{#1}{#2}%
+ }%
+ }%
+}
+
+
+
+% Creates new arrows by combining two existing arrows.
+%
+% #1 = optional additional space
+% #2 = name of new start
+% #3 = name of new end
+% #4 = name of second (innermost) start
+% #5 = name of second end
+% #6 = name of first (outermost) start
+% #7 = name of first end
+%
+% In the star form, the line will end at the innermost arrows,
+% otherwise the line will end at the outermost arrows.
+%
+% Example:
+%
+% \pgfarrowsdeclarecombine*{|<}{>|}{|}{|}{<}{>}
+% \pgfarrowsdeclarecombine{<<}{>>}{<}{>}{<}{>}
+
+\def\pgfarrowsdeclarecombine{\pgfutil@ifnextchar*{\pgfarrowsdeclarecombine@star}{\pgf@@arrowsdeclarecombine}}
+
+\def\pgf@@arrowsdeclarecombine{\pgfutil@ifnextchar[{\pgf@arrowsdeclarecombine}{\pgf@arrowsdeclarecombine[0pt]}}
+\def\pgf@arrowsdeclarecombine[#1]#2#3#4#5#6#7{%
+ \pgf@arrows@check@already{#2}{#3}%
+ {%
+ \pgf@arrows@checked{#4}{#5}%
+ {%
+ \pgf@arrows@checked{#6}{#7}%
+ {%
+ \expandafter\edef\csname pgf@arrow@code@#3\endcsname{%
+ \noexpand\pgfscope%
+ {\expandafter\noexpand\csname pgf@arrow@code@#7\endcsname}%
+ \noexpand\endpgfscope%
+ {%
+ \noexpand\pgfmathsetlength\pgf@x{#1}%
+ \noexpand\pgf@process{\expandafter\noexpand\csname pgf@arrow@left@#7\endcsname}%
+ \noexpand\pgf@process{\expandafter\noexpand\csname pgf@arrow@right@#5\endcsname}%
+ \pgf@x=-\pgf@x%
+ \noexpand\pgflowlevel{\noexpand\pgftransformxshift{\pgf@x}}%
+ \expandafter\noexpand\csname pgf@arrow@code@#5\endcsname}%
+ }%
+ \pgf@arrows@repeat{pgf@arrow@right@#7}{pgf@arrow@right@#3}%
+ \expandafter\def\csname pgf@arrow@left@#3\endcsname{%
+ \pgf@process{%
+ \pgfmathsetlength\pgf@y{#1}%
+ \advance\pgf@x by\pgf@y%
+ \pgf@process{\csname pgf@arrow@left@#7\endcsname}%
+ \pgf@process{\csname pgf@arrow@right@#5\endcsname}%
+ \pgf@process{\csname pgf@arrow@left@#5\endcsname}%
+ }%
+ }%
+ \pgf@arrows@invname{#2}{#3}%
+ }%
+ }%
+ }%
+}
+
+\def\pgfarrowsdeclarecombine@star*{\pgfutil@ifnextchar[{\pgf@arrowsdeclarecombine@star}{\pgf@arrowsdeclarecombine@star[0pt]}}
+\def\pgf@arrowsdeclarecombine@star[#1]#2#3#4#5#6#7{%
+ \pgf@arrows@check@already{#2}{#3}%
+ {%
+ \pgf@arrows@checked{#4}{#5}%
+ {%
+ \pgf@arrows@checked{#6}{#7}%
+ {%
+ \expandafter\edef\csname pgf@arrow@code@#3\endcsname{%
+ \noexpand\pgfscope%
+ {%
+ \noexpand\pgfmathsetlength\pgf@x{#1}%
+ \pgf@process{\expandafter\noexpand\csname pgf@arrow@left@#7\endcsname}%
+ \pgf@process{\expandafter\noexpand\csname pgf@arrow@right@#5\endcsname}%
+ \noexpand\pgflowlevel{\noexpand\pgftransformxshift{\pgf@x}}%
+ }%
+ {\expandafter\noexpand\csname pgf@arrow@code@#7\endcsname}%
+ \noexpand\endpgfscope%
+ \expandafter\noexpand\csname pgf@arrow@code@#5\endcsname%
+ }%
+ \pgf@arrows@repeat{pgf@arrow@left@#7}{pgf@arrow@left@#3}%
+ \expandafter\def\csname pgf@arrow@right@#3\endcsname{%
+ \pgf@process{%
+ \pgfmathsetlength\pgf@y{#1}%
+ \advance\pgf@x by\pgf@y%
+ \pgf@process{\csname pgf@arrow@left@#7\endcsname}%
+ \pgf@process{\csname pgf@arrow@right@#5\endcsname}%
+ \pgf@process{\csname pgf@arrow@right@#7\endcsname}%
+ }%
+ }%
+ \pgf@arrows@invname{#2}{#3}%
+ }%
+ }%
+ }%
+}
+
+
+
+% Creates new arrows by doubling/tripling existing arrows.
+%
+% #1 = optional additional space in multiples of line width
+% #2 = name of new start
+% #3 = name of new end
+% #4 = name of old start
+% #5 = name of old end
+%
+% Example:
+%
+% \pgfarrowsdeclaredouble{<<}{>>}{<}{>}
+
+\def\pgfarrowsdeclaredouble{\pgfutil@ifnextchar[{\pgf@arrowsdeclaredouble}{\pgf@arrowsdeclaredouble[0pt]}}
+\def\pgf@arrowsdeclaredouble[#1]#2#3#4#5{\pgfarrowsdeclarecombine[#1]{#2}{#3}{#4}{#5}{#4}{#5}}
+\def\pgfarrowsdeclaretriple{\pgfutil@ifnextchar[{\pgf@arrowsdeclaretriple}{\pgf@arrowsdeclaretriple[0pt]}}
+\def\pgf@arrowsdeclaretriple[#1]#2#3#4#5{%
+ \pgfarrowsdeclarecombine[#1]{pgf@trip@#2}{pgf@trip@#3}{#4}{#5}{#4}{#5}%
+ \pgfarrowsdeclarecombine[#1]{#2}{#3}{pgf@trip@#2}{pgf@trip@#3}{#4}{#5}%
+}
+
+
+% A stealth-fighter-like pointed arrow
+%
+% Example:
+%
+% \pgfsetarrows{-stealth}
+
+\pgfarrowsdeclare{stealth}{stealth}
+{
+ \pgfutil@tempdima=0.28pt%
+ \advance\pgfutil@tempdima by.3\pgflinewidth%
+ \pgfarrowsleftextend{+-3\pgfutil@tempdima}
+ \pgfarrowsrightextend{+5\pgfutil@tempdima}
+}
+{
+ \pgfutil@tempdima=0.28pt%
+ \advance\pgfutil@tempdima by.3\pgflinewidth%
+ \pgfpathmoveto{\pgfqpoint{5\pgfutil@tempdima}{0pt}}
+ \pgfpathlineto{\pgfqpoint{-3\pgfutil@tempdima}{4\pgfutil@tempdima}}
+ \pgfpathlineto{\pgfpointorigin}
+ \pgfpathlineto{\pgfqpoint{-3\pgfutil@tempdima}{-4\pgfutil@tempdima}}
+ \pgfusepathqfill
+}
+
+\pgfarrowsdeclarereversed{stealth reversed}{stealth reversed}{stealth}{stealth}
+
+
+% An arrow similar to the $\to$ arrow
+%
+% Example:
+%
+% \pgfsetarrow{-to}
+
+\pgfarrowsdeclare{to}{to}
+{
+ \pgfutil@tempdima=-0.84pt%
+ \advance\pgfutil@tempdima by-1.3\pgflinewidth%
+ \pgfutil@tempdimb=0.21pt%
+ \advance\pgfutil@tempdimb by.625\pgflinewidth%
+ \pgfarrowsleftextend{+\pgfutil@tempdima}
+ \pgfarrowsrightextend{+\pgfutil@tempdimb}
+}
+{
+ \pgfutil@tempdima=0.28pt%
+ \advance\pgfutil@tempdima by.3\pgflinewidth%
+ \pgfsetlinewidth{0.8\pgflinewidth}
+ \pgfsetdash{}{+0pt}
+ \pgfsetroundcap
+ \pgfsetroundjoin
+ \pgfpathmoveto{\pgfqpoint{-3\pgfutil@tempdima}{4\pgfutil@tempdima}}
+ \pgfpathcurveto
+ {\pgfqpoint{-2.75\pgfutil@tempdima}{2.5\pgfutil@tempdima}}
+ {\pgfqpoint{0pt}{0.25\pgfutil@tempdima}}
+ {\pgfqpoint{0.75\pgfutil@tempdima}{0pt}}
+ \pgfpathcurveto
+ {\pgfqpoint{0pt}{-0.25\pgfutil@tempdima}}
+ {\pgfqpoint{-2.75\pgfutil@tempdima}{-2.5\pgfutil@tempdima}}
+ {\pgfqpoint{-3\pgfutil@tempdima}{-4\pgfutil@tempdima}}
+ \pgfusepathqstroke
+}
+
+\pgfarrowsdeclare{to reversed}{to reversed}
+{
+ \pgfutil@tempdima=-0.21pt%
+ \advance\pgfutil@tempdima by-0.475\pgflinewidth%
+ \pgfutil@tempdimb=0.98pt%
+ \advance\pgfutil@tempdimb by1.45\pgflinewidth%
+ \pgfarrowsleftextend{+\pgfutil@tempdima}
+ \pgfarrowsrightextend{+\pgfutil@tempdimb}
+}
+{
+ \pgfutil@tempdima=0.28pt%
+ \advance\pgfutil@tempdima by.3\pgflinewidth%
+ \pgfsetlinewidth{+0.8\pgflinewidth}
+ \pgfsetdash{}{+0pt}
+ \pgfsetroundcap
+ \pgfsetroundjoin
+ \pgfpathmoveto{\pgfqpoint{3.5\pgfutil@tempdima}{4\pgfutil@tempdima}}
+ \pgfpathcurveto
+ {\pgfqpoint{3.25\pgfutil@tempdima}{2.5\pgfutil@tempdima}}
+ {\pgfqpoint{0.5\pgfutil@tempdima}{0.25\pgfutil@tempdima}}
+ {\pgfqpoint{-0.25\pgfutil@tempdima}{0\pgfutil@tempdima}}
+ \pgfpathcurveto
+ {\pgfqpoint{0.5\pgfutil@tempdima}{-0.25\pgfutil@tempdima}}
+ {\pgfqpoint{3.25\pgfutil@tempdima}{-2.5\pgfutil@tempdima}}
+ {\pgfqpoint{3.5\pgfutil@tempdima}{-4\pgfutil@tempdima}}
+ \pgfusepathqstroke
+}
+
+
+
+% LaTeX's orginal arrow type
+%
+% Example:
+%
+% \pgfsetarrows{-latex}
+
+\pgfarrowsdeclare{latex}{latex}
+{
+ \pgfutil@tempdima=0.28pt%
+ \advance\pgfutil@tempdima by.3\pgflinewidth%
+ \pgfarrowsleftextend{+-1\pgfutil@tempdima}
+ \pgfarrowsrightextend{+9\pgfutil@tempdima}
+}
+{
+ \pgfutil@tempdima=0.28pt%
+ \advance\pgfutil@tempdima by.3\pgflinewidth%
+ \pgfpathmoveto{\pgfqpoint{9\pgfutil@tempdima}{0pt}}
+ \pgfpathcurveto
+ {\pgfqpoint{6.3333\pgfutil@tempdima}{.5\pgfutil@tempdima}}
+ {\pgfqpoint{2\pgfutil@tempdima}{2\pgfutil@tempdima}}
+ {\pgfqpoint{-1\pgfutil@tempdima}{3.75\pgfutil@tempdima}}
+ \pgfpathlineto{\pgfqpoint{-1\pgfutil@tempdima}{-3.75\pgfutil@tempdima}}
+ \pgfpathcurveto
+ {\pgfqpoint{2\pgfutil@tempdima}{-2\pgfutil@tempdima}}
+ {\pgfqpoint{6.3333\pgfutil@tempdima}{-.5\pgfutil@tempdima}}
+ {\pgfqpoint{9\pgfutil@tempdima}{0pt}}
+ \pgfusepathqfill
+}
+\pgfarrowsdeclarereversed{latex reversed}{latex reversed}{latex}{latex}
+
+
+
+% A bar shaped arrow
+%
+% Example:
+%
+% \pgfsetarrows{-|}
+
+\pgfarrowsdeclare{|}{|}
+{
+ \pgfarrowsleftextend{+-0.25\pgflinewidth}
+ \pgfarrowsrightextend{+.75\pgflinewidth}
+}
+{
+ \pgfutil@tempdima=2pt%
+ \advance\pgfutil@tempdima by1.5\pgflinewidth%
+ \pgfsetdash{}{+0pt}
+ \pgfsetrectcap
+ \pgfpathmoveto{\pgfqpoint{0.25\pgflinewidth}{-\pgfutil@tempdima}}
+ \pgfpathlineto{\pgfqpoint{0.25\pgflinewidth}{\pgfutil@tempdima}}
+ \pgfusepathqstroke
+}
+
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex
new file mode 100644
index 00000000000..b3a04e6cad0
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex
@@ -0,0 +1,230 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex,v 1.8 2007/12/12 16:57:17 tantau Exp $
+
+% Globals
+
+\newdimen\pgflinewidth
+
+
+% Set the line width to #1.
+%
+% #1 = new line width.
+%
+% Example:
+%
+% \pgfsetlinewidth{3pt}
+
+\def\pgfsetlinewidth#1{%
+ \pgfmathsetlength\pgflinewidth{#1}%
+ \global\pgflinewidth=\pgflinewidth%
+ \pgfsys@setlinewidth{\the\pgflinewidth}%
+ \ignorespaces}
+
+
+% Set the miter limit to #1.
+%
+% #1 = new miter limit factor.
+%
+% Example:
+%
+% \pgfsetmiterlimit{3}
+
+\def\pgfsetmiterlimit#1{%
+ \pgfsys@setmiterlimit{#1}%
+ \ignorespaces}
+
+
+% Set the dash pattern to #1 with phase #2/
+%
+% #1 = a row of numbers of length of ``on'' and ``off'' points.
+% #2 = a phase
+%
+% Example:
+%
+% \pgfsetdash{} {0pt} % solid line
+% \pgfsetdash{{.1cm}} {0pt} % long dashes
+% \pgfsetdash{{1pt}{1ex}}{0pt} % dotted
+
+\def\pgfsetdash#1#2{%
+ \def\pgf@temp{}%
+ \def\pgf@next{\pgf@strip}%
+ \pgf@strip#1{pgf@stop}%
+ \pgfmathsetlength\pgf@x{#2}%
+ \pgfsys@setdash{\pgf@temp}{\the\pgf@x}%
+ \ignorespaces}
+
+\def\pgf@strip#1{%
+ \def\pgf@@temp{#1}%
+ \ifx\pgf@@temp\pgf@stop%
+ \let\pgf@next=\relax%
+ \else%
+ \pgfmathsetlength\pgf@x{#1}%
+ \ifx\pgf@temp\pgfutil@empty%
+ \edef\pgf@temp{\the\pgf@x}%
+ \else%
+ \edef\pgf@temp{\pgf@temp,\the\pgf@x}%
+ \fi%
+ \fi\pgf@next}
+
+\def\pgf@stop{pgf@stop}
+
+
+% Set color of strokes. This will overrule the normal color.
+%
+% Example:
+%
+% \pgfsetstrokecolor{red}
+
+\def\pgfsetstrokecolor#1{%
+ \pgfutil@colorlet{pgf@tempcolor}{#1}%
+ \pgfutil@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
+ \expandafter\expandafter\expandafter\pgf@setstrokecolor\csname\string\color@pgf@tempcolor\endcsname%
+}
+\def\pgf@setstrokecolor#1#2#3#4#5{%
+ \expandafter\ifx\csname pgfsys@color@#4@stroke\endcsname\relax%
+ \PackageError{pgfbase}{Unsupported color model `#4'. Sorry}{}%
+ \else%
+ \edef\pgf@colmarshal{\expandafter\noexpand\csname pgfsys@color@#4@stroke\endcsname}%
+ \pgf@uncomma#5,,%
+ \pgf@colmarshal%
+ \fi}
+
+\def\pgf@uncomma#1,{%
+ \def\pgf@coltest{#1}%
+ \ifx\pgf@coltest\pgfutil@empty%
+ \let\pgf@colnext=\relax%
+ \else%
+ \expandafter\def\expandafter\pgf@colmarshal\expandafter{\pgf@colmarshal{#1}}%
+ \let\pgf@colnext=\pgf@uncomma%
+ \fi%
+ \pgf@colnext%
+}
+
+
+% Set color of fills. This will overrule the normal color.
+%
+% Example:
+%
+% \pgfsetfillcolor{gray}
+
+\def\pgfsetfillcolor#1{%
+ \pgfutil@colorlet{pgf@tempcolor}{#1}%
+ \pgfutil@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
+ \expandafter\expandafter\expandafter\pgf@setfillcolor\csname\string\color@pgf@tempcolor\endcsname%
+}
+\def\pgf@setfillcolor#1#2#3#4#5{%
+ \expandafter\ifx\csname pgfsys@color@#4@fill\endcsname\relax%
+ \PackageError{pgfbase}{Unsupported color model `#4'. Sorry}{}%
+ \else%
+ \edef\pgf@colmarshal{\expandafter\noexpand\csname pgfsys@color@#4@fill\endcsname}%
+ \pgf@uncomma#5,,%
+ \pgf@colmarshal%
+ \fi}
+
+
+
+% Sets both the stroke and fill color.
+%
+% Example:
+%
+% \pgfsetcolor{blue}
+
+\def\pgfsetcolor#1{%
+ \pgfutil@colorlet{pgf@tempcolor}{#1}%
+ \pgfutil@ifundefined{applycolormixins}{}{\applycolormixins{pgf@tempcolor}}%
+ \expandafter\expandafter\expandafter\pgf@setcolor\csname\string\color@pgf@tempcolor\endcsname%
+}
+\def\pgf@setcolor#1#2#3#4#5{%
+ \expandafter\ifx\csname pgfsys@color@#4\endcsname\relax%
+ \PackageError{pgfbase}{Unsupported color model `#4'. Sorry}{}%
+ \else%
+ \edef\pgf@colmarshal{\expandafter\noexpand\csname pgfsys@color@#4\endcsname}%
+ \pgf@uncomma#5,,%
+ \pgf@colmarshal%
+ \fi}
+
+% Code for ensuring the stroke/fill colors are correctly reset.
+\def\XC@bcolor{\pgfsys@color@reset}
+
+% Set a butt line cap.
+%
+% Example:
+%
+% \pgfsetbuttcap
+
+\def\pgfsetbuttcap{\pgfsys@buttcap\ignorespaces}
+
+
+% Set a round line cap.
+%
+% Example:
+%
+% \pgfsetroundcap
+
+\def\pgfsetroundcap{\pgfsys@roundcap\ignorespaces}
+
+
+% Set a rectangular line cap.
+%
+% Example:
+%
+% \pgfsetrectcap
+
+\def\pgfsetrectcap{\pgfsys@rectcap\ignorespaces}
+
+
+% Set a miter line join.
+%
+% Example:
+%
+% \pgfsetmiterjoin
+
+\def\pgfsetmiterjoin{\pgfsys@miterjoin\ignorespaces}
+
+
+% Set a bevel line join.
+%
+% Example:
+%
+% \pgfsetbeveljoin
+
+\def\pgfsetbeveljoin{\pgfsys@beveljoin\ignorespaces}
+
+
+% Set a round line join.
+%
+% Example:
+%
+% \pgfsetroundjoin
+
+\def\pgfsetroundjoin{\pgfsys@roundjoin\ignorespaces}
+
+
+% Sets the even-odd rule for filling and clipping.
+%
+% Example:
+%
+% \pgfseteorule
+
+\def\pgfseteorule{\pgfsys@eoruletrue\ignorespaces}
+
+
+% Sets the non-zero winding number rule for filling and clipping.
+%
+% Example:
+%
+% \pgfsetnonzerorule
+
+\def\pgfsetnonzerorule{\pgfsys@eorulefalse\ignorespaces}
+
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex
new file mode 100644
index 00000000000..557558d82ef
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex
@@ -0,0 +1,101 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoreobjects.code.tex,v 1.2 2006/10/11 15:22:25 tantau Exp $
+
+
+% Object reuse
+
+
+% Define a pgf object for reuse. Such objects will be stored
+% efficiently internally.
+%
+% #1 = name for later reuse
+% #2 = lower left corner point of bounding box
+% #3 = upper right left corner point of bounding box
+% #4 = pure pgf code (nothing too fancy!)
+%
+% Description:
+%
+% Used to define reusable objects. The object must be composed of
+% basic pgf graphic primitives. Nothing fancy can be used. The
+% created object will be stored as an xform object in pdf or as a
+% postscript procedure in postscript.
+%
+% Example:
+%
+% \pgfdefobject{myrect}{\pgfpoint{-1pt}{-1pt}}{\pgfpoint{11pt}{11pt}}
+% {\pgfpathqmoveto{0pt}{0pt}
+% \pgfpathqmoveto{10pt}{0pt}
+% \pgfpathqmoveto{10pt}{10pt}
+% \pgfpathqmoveto{0pt}{10pt}
+% \pgfpathclose
+% \pgfusepath{stroke}}
+%
+% \begin{pgfpicture}{0cm}{0cm}{1cm}{1cm}
+% \pgfuseobject{myrect}
+% \end{pgfpicture}
+
+\def\pgfdefobject#1#2#3#4{%
+ \pgfinterruptpath%
+ \pgf@relevantforpicturesizefalse%
+ \pgfsys@defobject{#1}{#2}{#3}{#4}%
+ \endpgfinterruptpath%
+ \ignorespaces%
+}
+
+
+% Use an object that was previously defined using pgfdefobject
+%
+% #1 = name of previously defined object
+%
+% Example:
+%
+% \pgfdefobject{myrect}{\pgfpoint{-1pt}{-1pt}}{\pgfpoint{11pt}{11pt}}
+% {\pgfqmoveto{0}{0}
+% \pgfqmoveto{10}{0}
+% \pgfqmoveto{10}{10}
+% \pgfqmoveto{0}{10}
+% \pgfclosestroke}
+%
+% \begin{pgfpicture}{0cm}{0cm}{1cm}{1cm}
+% \pgfuseobject{myrect}
+% \end{pgfpicture}
+
+\def\pgfuseobject#1{\pgfsys@beginscope\pgfsys@useobject{#1}{}\pgfsys@endscope}
+
+
+% Use an object that was previously defined using pgfdefobject, but
+% magnify the object by the current x and y register values
+%
+% #1 = name of previously defined object
+%
+% Example:
+%
+% \pgfdefobject{myrect}{\pgfpoint{-1pt}{-1pt}}{\pgfpoint{11pt}{11pt}}
+% {\pgfqmoveto{0}{0}
+% \pgfqmoveto{10}{0}
+% \pgfqmoveto{10}{10}
+% \pgfqmoveto{0}{10}
+% \pgfclosestroke}
+%
+% \begin{pgfpicture}{0cm}{0cm}{1cm}{1cm}
+% \pgf@x=2pt% Scale by factor two in x-direction
+% \pgf@y=2pt% Scale by factor two in y-direction
+% \pgfuseobjectmagnify{myrect}
+% \end{pgfpicture}
+
+\def\pgfuseobjectmagnify#1{%
+ \pgfsys@beginscope%
+ \pgfsys@useobject{#1}{\pgfsys@transformxyscale{\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@y}}}%
+ \pgfsys@endscope%
+}
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex
new file mode 100644
index 00000000000..b96d766b081
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex
@@ -0,0 +1,890 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex,v 1.14 2008/02/13 15:10:06 tantau Exp $
+
+
+\newdimen\pgf@path@lastx
+\newdimen\pgf@path@lasty
+
+
+
+% Replace corners by arcs.
+%
+% #1 = in-size of arc
+% #2 = out-size of arc
+%
+% Description:
+%
+% This command influences path construction command like
+% \pgfpathlineto or \pgfpatharc. It will cause the corners at the end
+% of these commands to be replaced by little arcs. If the
+% corner is a 90 degrees corner and if #1=#2, a quarter-circle of
+% radius #1 is put in place of the corner. If #1 and #2 are different,
+% the quarter circle will instead by a quarter ellipse. If the angle
+% is different from 90 degrees, a deformed quarter circle will
+% result, which may or may not be desirable. For a ``perfect'' arc you
+% must use the \pgfpatharc command.
+%
+%
+% Example: One rounded corner.
+%
+% \pgfpathmoveto{\pgfpointxy{0}{0}}
+% \pgfsetcornersarced{4pt}{4pt}
+% \pgfpathlineto{\pgfpointxy{0}{1}}
+% \pgfpathlineto{\pgfpointxy{1}{1}}
+% \pgfstroke
+%
+% Example: A rounded rectangle
+%
+% \pgfsetcornersarced{4pt}{4pt}
+% \pgfpathrectangle{\pgfpointorigin}{\pgfpoint{1cm}{1cm}}
+% \pgfstroke
+%
+% Example: A rounded triangles
+%
+% \pgfsetcornersarced{4pt}{4pt}
+% \pgfpathmoveto{\pgfpointorigin}
+% \pgfpathlineto{\pgfpoint{1cm}{0cm}}
+% \pgfpathlineto{\pgfpoint{1cm}{1cm}}
+% \pgfpathclose
+% \pgfstroke
+
+\newif\ifpgf@arccorners
+
+\def\pgfsetcornersarced#1{%
+ \pgf@process{#1}%
+ \edef\pgf@corner@arc{{\the\pgf@x}{\the\pgf@y}}%
+ \pgf@arccornerstrue%
+ \ifdim\pgf@x=0pt%
+ \ifdim\pgf@y=0pt\relax%
+ \pgf@arccornersfalse%
+ \fi%
+ \fi%
+}
+
+\def\pgf@roundcornerifneeded{%
+ \ifpgf@arccorners\expandafter\pgfsyssoftpath@specialround\pgf@corner@arc\fi%
+}
+
+
+% Move current point to #1.
+%
+% #1 = new current point
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfxy(0,0)}
+% \pgfpathlineto{\pgfxy(0,1)}
+% \pgfstroke
+
+\def\pgfpathmoveto#1{%
+ \pgfpointtransformed{#1}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgfsyssoftpath@moveto{\the\pgf@x}{\the\pgf@y}%
+ \global\pgf@path@lastx=\pgf@x%
+ \global\pgf@path@lasty=\pgf@y%
+}
+
+\def\pgf@protocolsizes#1#2{%
+ \ifpgf@relevantforpicturesize%
+ \ifdim#1<\pgf@picminx\global\pgf@picminx#1\fi%
+ \ifdim#1>\pgf@picmaxx\global\pgf@picmaxx#1\fi%
+ \ifdim#2<\pgf@picminy\global\pgf@picminy#2\fi%
+ \ifdim#2>\pgf@picmaxy\global\pgf@picmaxy#2\fi%
+ \fi%
+ \ifdim#1<\pgf@pathminx\global\pgf@pathminx#1\fi%
+ \ifdim#1>\pgf@pathmaxx\global\pgf@pathmaxx#1\fi%
+ \ifdim#2<\pgf@pathminy\global\pgf@pathminy#2\fi%
+ \ifdim#2>\pgf@pathmaxy\global\pgf@pathmaxy#2\fi%
+ \ifpgf@size@hooked%
+ \let\pgf@size@hook@x#1\let\pgf@size@hook@y#2\pgf@path@size@hook%
+ \fi%
+}
+\newif\ifpgf@size@hooked
+\let\pgf@path@size@hook=\pgfutil@empty%
+
+\def\pgf@resetpathsizes{%
+ \global\pgf@pathmaxx=-16000pt\relax%
+ \global\pgf@pathminx=16000pt\relax%
+ \global\pgf@pathmaxy=-16000pt\relax%
+ \global\pgf@pathminy=16000pt\relax%
+}
+
+\def\pgf@getpathsizes#1{%
+ \edef#1{{\the\pgf@pathmaxx}{\the\pgf@pathminx}{\the\pgf@pathmaxy}{\the\pgf@pathminy}}%
+}
+\def\pgf@setpathsizes#1{%
+ \expandafter\pgf@@setpathsizes#1%
+}
+\def\pgf@@setpathsizes#1#2#3#4{%
+ \global\pgf@pathmaxx=#1\relax%
+ \global\pgf@pathminx=#2\relax%
+ \global\pgf@pathmaxy=#3\relax%
+ \global\pgf@pathminy=#4\relax%
+}
+
+
+
+
+
+% Append a line from the current point to #1 to the current path.
+%
+% #1 = end of line
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfxy(0,0)}
+% \pgfpathlineto{\pgfxy(0,1)}
+% \pgfstroke
+
+\def\pgfpathlineto#1{%
+ \pgfpointtransformed{#1}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@roundcornerifneeded%
+ \pgfsyssoftpath@lineto{\the\pgf@x}{\the\pgf@y}%
+ \global\pgf@path@lastx=\pgf@x%
+ \global\pgf@path@lasty=\pgf@y%
+}
+
+
+
+% Close the current path.
+%
+% Example:
+%
+% % Draws two triangles
+% \pgfpathmoveto{\pgfxy(0,0)}
+% \pgfpathlineto{\pgfxy(0,1)}
+% \pgfpathlineto{\pgfxy(1,0)}
+% \pgfclosepath
+% \pgfpathmoveto{\pgfxy(2,0)}
+% \pgfpathlineto{\pgfxy(2,1)}
+% \pgfpathlineto{\pgfxy(3,0)}
+% \pgfpathclose
+% \pgfstroke
+
+\def\pgfpathclose{%
+ \pgf@roundcornerifneeded%
+ \pgfsyssoftpath@closepath%
+}
+
+
+% Append a bezier spline from the current point to #3 with control
+% points #1 and #2 to the current path.
+%
+% #1 = first control point
+% #2 = second control point
+% #3 = end point
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfxy(0,0)}
+% \pgfpathcurveto{\pgfxy(0,1)}{\pgfxy(1,1)}{\pgfxy(1,2)}
+% \pgfstroke
+
+\def\pgfpathcurveto#1#2#3{%
+ \pgfpointtransformed{#3}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \pgfpointtransformed{#2}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgfpointtransformed{#1}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@roundcornerifneeded%
+ \pgfsyssoftpath@curveto{\the\pgf@x}{\the\pgf@y}{\the\pgf@xa}{\the\pgf@ya}{\the\pgf@xb}{\the\pgf@yb}%
+ \global\pgf@path@lastx=\pgf@xb%
+ \global\pgf@path@lasty=\pgf@yb%
+}
+
+
+% Append an arc to the current point, where the current point is at
+% angle #1 and the end is at angle #2. If #2 > #1, the arc is drawn
+% counter-clockwise, otherwise it is clockwise.
+%
+% #1 = angle of first point
+% #2 = angle of second point
+% #3 = radius or x-radius/y-radius
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfxy(0,0)}
+% \pgfpatharc{0}{90}{2cm}
+% \pgfstroke
+
+\def\pgfpatharc#1#2#3{%
+ {%
+ \pgfmathparse{#1}\let\pgf@temp@a=\pgfmathresult%
+ \pgfmathparse{#2}\let\pgf@temp@b=\pgfmathresult%
+ \pgfutil@in@{and }{#3}%
+ \ifpgfutil@in@%
+ \pgf@arc@get@radii#3\pgf@arc@stop%
+ \else
+ \pgf@arc@get@radii#3and #3\pgf@arc@stop%
+ \fi%
+ \pgf@arc@local@angle@a=\pgf@temp@a pt%
+ \pgf@arc@local@angle@b=\pgf@temp@b pt%
+ \relax%
+ \ifdim\pgf@arc@local@angle@a>360pt\relax%
+ \advance\pgf@arc@local@angle@a by-360pt\relax%
+ \fi%
+ \ifdim\pgf@arc@local@angle@a<-360pt\relax%
+ \advance\pgf@arc@local@angle@a by360pt\relax%
+ \fi%
+ \ifdim\pgf@arc@local@angle@b>360pt\relax%
+ \advance\pgf@arc@local@angle@b by-360pt\relax%
+ \fi%
+ \ifdim\pgf@arc@local@angle@b<-360pt\relax%
+ \advance\pgf@arc@local@angle@b by360pt\relax%
+ \fi%
+ \loop%
+ \pgfutil@tempdima=\pgf@arc@local@angle@a%
+ \advance\pgfutil@tempdima by-\pgf@arc@local@angle@b\relax%
+ \ifdim\pgfutil@tempdima<0pt\relax%
+ \pgfutil@tempdima=-\pgfutil@tempdima\relax%
+ \fi%
+ \ifdim\pgfutil@tempdima>90pt\relax%
+ \ifdim\pgfutil@tempdima>115pt\relax%
+ \pgf@arc@temp=90pt% big skip
+ \else%
+ \pgf@arc@temp=60pt% smaller skip to ensure wide segments
+ % (important shortened end segments because
+ % of arrow tips)
+ \fi%
+ \ifdim\pgf@arc@local@angle@b>\pgf@arc@local@angle@a\relax%
+ {%
+ \pgf@arc@local@angle@b=\pgf@arc@local@angle@a\relax%
+ \advance\pgf@arc@local@angle@b by\pgf@arc@temp\relax%
+ \pgf@arc%
+ }
+ \advance\pgf@arc@local@angle@a by\pgf@arc@temp\relax%
+ \else
+ {%
+ \pgf@arc@local@angle@b=\pgf@arc@local@angle@a\relax%
+ \advance\pgf@arc@local@angle@b by-\pgf@arc@temp\relax%
+ \pgf@arc%
+ }%
+ \advance\pgf@arc@local@angle@a by-\pgf@arc@temp\relax%
+ \fi%
+ \repeat%
+ \pgf@roundcornerifneeded%
+ \pgf@arc%
+ }%
+}
+\dimendef\pgf@arc@local@angle@a=0
+\dimendef\pgf@arc@local@angle@b=1
+\dimendef\pgf@arc@temp=2
+
+\def\pgf@arc@get@radii#1and #2\pgf@arc@stop{%
+ \pgfmathparse{#1}\let\pgf@arc@radius@a=\pgfmathresult%
+ \pgfmathparse{#2}\let\pgf@arc@radius@b=\pgfmathresult%
+}
+
+
+\def\pgf@arc{%
+ {%
+ % \pgfmathsetlength{\pgfutil@tempdima}{#3}%
+ % \pgfmathsetlength{\pgfutil@tempdimb}{#4}%
+ \pgfutil@tempdima=\pgf@arc@radius@a pt%
+ \pgfutil@tempdimb=\pgf@arc@radius@b pt%
+ %
+ \pgf@xa=\pgf@arc@local@angle@a\relax%
+ \pgf@xb=\pgf@arc@local@angle@b\relax%
+ % \pgfutil@tempcnta=#1\relax%
+ % \pgfutil@tempcntb=#2\relax%
+ \advance\pgf@xb by-\pgf@xa\relax%
+ \ifdim\pgf@xb<0pt\relax%
+ \pgf@xb=-\pgf@xb\relax%
+ \fi%
+ \ifdim\pgf@xb>85pt\relax% hackery to correct the control points
+ \pgfutil@tempdima=0.0555\pgfutil@tempdima\relax%
+ \pgfutil@tempdimb=0.0555\pgfutil@tempdimb\relax%
+ \else%
+ \ifdim\pgf@xb>75pt\relax%
+ \pgfutil@tempdima=0.055\pgfutil@tempdima\relax%
+ \pgfutil@tempdimb=0.055\pgfutil@tempdimb\relax%
+ \else%
+ \ifdim\pgf@xb>60pt\relax%
+ \pgfutil@tempdima=0.0545\pgfutil@tempdima\relax%
+ \pgfutil@tempdimb=0.0545\pgfutil@tempdimb\relax%
+ \else%
+ \pgfutil@tempdima=0.054\pgfutil@tempdima\relax%
+ \pgfutil@tempdimb=0.054\pgfutil@tempdimb\relax%
+ \fi%
+ \fi%
+ \fi
+ \pgfutil@tempdima=\pgf@sys@tonumber{\pgf@xb}\pgfutil@tempdima\relax%
+ \divide\pgfutil@tempdima by 9\relax%
+ \pgfutil@tempdimb=\pgf@sys@tonumber{\pgf@xb}\pgfutil@tempdimb\relax%
+ \divide\pgfutil@tempdimb by 9\relax%
+ %.. controls +(\pgf@xa+90:\pgfutil@tempdima) and +(\pgf@xb-90:\pgfutil@tempdima) .. +(-(#1:#3)+(#2:#3))%
+ % store first support vector in xa/ya:
+ \pgf@xa=\pgf@arc@local@angle@a\relax%
+ \ifdim\pgf@arc@local@angle@b>\pgf@arc@local@angle@a\relax%
+ \advance\pgf@xa by 90pt\relax%
+ \else%
+ \advance\pgf@xa by -90pt\relax%
+ \fi%
+ \edef\pgf@arc@angle{\pgf@sys@tonumber{\pgf@xa}}%
+ \pgfpointtransformed{\pgfpointpolar{\pgf@arc@angle}{\pgfutil@tempdima and \pgfutil@tempdimb}}%
+ \advance\pgf@x by-\pgf@pt@x%
+ \advance\pgf@y by-\pgf@pt@y%
+ \pgf@xa=\pgf@path@lastx%
+ \pgf@ya=\pgf@path@lasty%
+ \advance\pgf@xa by \pgf@x%
+ \advance\pgf@ya by \pgf@y%
+ % store target in xb/yb:
+ \pgfpointtransformed{\pgfpointpolar{\pgf@sys@tonumber{\pgf@arc@local@angle@a}}{\pgf@arc@radius@a pt and \pgf@arc@radius@b pt}}%
+ \pgf@xb=\pgf@path@lastx%
+ \pgf@yb=\pgf@path@lasty%
+ \advance\pgf@xb by -\pgf@x%
+ \advance\pgf@yb by -\pgf@y%
+ \pgfpointtransformed{\pgfpointpolar{\pgf@sys@tonumber{\pgf@arc@local@angle@b}}{\pgf@arc@radius@a pt and \pgf@arc@radius@b pt}}%
+ \advance\pgf@xb by \pgf@x%
+ \advance\pgf@yb by \pgf@y%
+ % store second support xc/yc:
+ \ifdim\pgf@arc@local@angle@b>\pgf@arc@local@angle@a\relax%
+ \advance\pgf@arc@local@angle@b by -90pt\relax%
+ \else%
+ \advance\pgf@arc@local@angle@b by 90pt\relax%
+ \fi%
+ \pgfpointtransformed{\pgfpointpolar{\pgf@sys@tonumber{\pgf@arc@local@angle@b}}{\pgfutil@tempdima and \pgfutil@tempdimb}}%
+ \advance\pgf@x by-\pgf@pt@x%
+ \advance\pgf@y by-\pgf@pt@y%
+ \pgf@xc=\pgf@xb\relax%
+ \pgf@yc=\pgf@yb\relax%
+ \advance \pgf@xc by \pgf@x\relax%
+ \advance \pgf@yc by \pgf@y\relax%
+ \pgfsyssoftpath@curveto{\the\pgf@xa}{\the\pgf@ya}{\the\pgf@xc}{\the\pgf@yc}{\the\pgf@xb}{\the\pgf@yb}%
+ \global\pgf@path@lastx=\pgf@xb%
+ \global\pgf@path@lasty=\pgf@yb%
+ \pgf@protocolsizes{\pgf@xa}{\pgf@ya}%
+ \pgf@protocolsizes{\pgf@xb}{\pgf@yb}%
+ \pgf@protocolsizes{\pgf@xc}{\pgf@yc}%
+ }%
+}
+
+% Append an arc to the current point, where the arc is on an ellipse
+% given by two axis vectors.
+%
+% #1 = angle of first point
+% #2 = angle of second point
+% #3 = first axis
+% #4 = second axis
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfxy(0,0)}
+% \pgfpatharcaxes{0}{90}{\pgfpointxy{2}{0}}{\pgfpointxy{0}{2}}
+% \pgfstroke
+
+\def\pgfpatharcaxes#1#2#3#4{%
+ {%
+ \pgftransformtriangle{\pgfpointorigin}{#3}{#4}%
+ \pgfpatharc{#1}{#2}{1pt}%
+ }%
+}
+
+
+
+
+% Append an ellipse to the current path.
+%
+% #1 = center
+% #2 = first axis
+% #3 = second axis
+%
+% Example:
+%
+% % Add a circle of radius 3cm around the origin
+% \pgfpathellipse{\pgforigin}{\pgfxy(2,0)}{\pgfxy(0,1)}
+%
+% % Draw a non-filled circle of radius 1cm around the point (1,1)
+% \pgfpathellipse{\pgfxy(1,1)}{\pgfxy(1,1)}{\pgfxy(-2,2)}
+% \pgfstroke
+
+\def\pgfpathellipse#1#2#3{%
+ \pgfpointtransformed{#1}% store center in xc/yc
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \pgfpointtransformed{#2}%
+ \pgf@xa=\pgf@x% store first axis in xa/ya
+ \pgf@ya=\pgf@y%
+ \advance\pgf@xa by-\pgf@pt@x%
+ \advance\pgf@ya by-\pgf@pt@y%
+ \pgfpointtransformed{#3}%
+ \pgf@xb=\pgf@x% store second axis in xb/yb
+ \pgf@yb=\pgf@y%
+ \advance\pgf@xb by-\pgf@pt@x%
+ \advance\pgf@yb by-\pgf@pt@y%
+ {%
+ \advance\pgf@xa by\pgf@xc%
+ \advance\pgf@ya by\pgf@yc%
+ \pgfsyssoftpath@moveto{\the\pgf@xa}{\the\pgf@ya}%
+ \pgf@protocolsizes{\pgf@xa}{\pgf@ya}%
+ }%
+ \pgf@x=0.555\pgf@xb% first arc
+ \pgf@y=0.555\pgf@yb%
+ \advance\pgf@x by\pgf@xa%
+ \advance\pgf@y by\pgf@ya%
+ \advance\pgf@x by\pgf@xc%
+ \advance\pgf@y by\pgf@yc%
+ \edef\pgf@temp{{\the\pgf@x}{\the\pgf@y}}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@x=0.555\pgf@xa%
+ \pgf@y=0.555\pgf@ya%
+ \advance\pgf@x by\pgf@xb%
+ \advance\pgf@y by\pgf@yb%
+ {%
+ \advance\pgf@x by\pgf@xc%
+ \advance\pgf@y by\pgf@yc%
+ \advance\pgf@xb by\pgf@xc%
+ \advance\pgf@yb by\pgf@yc%
+ \expandafter\pgfsyssoftpath@curveto\pgf@temp{\the\pgf@x}{\the\pgf@y}{\the\pgf@xb}{\the\pgf@yb}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@protocolsizes{\pgf@xb}{\pgf@yb}%
+ }%
+ \pgf@xa=-\pgf@xa% flip first axis
+ \pgf@ya=-\pgf@ya%
+ \pgf@x=0.555\pgf@xa% second arc
+ \pgf@y=0.555\pgf@ya%
+ \advance\pgf@x by\pgf@xb%
+ \advance\pgf@y by\pgf@yb%
+ \advance\pgf@x by\pgf@xc%
+ \advance\pgf@y by\pgf@yc%
+ \edef\pgf@temp{{\the\pgf@x}{\the\pgf@y}}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@x=0.555\pgf@xb%
+ \pgf@y=0.555\pgf@yb%
+ \advance\pgf@x by\pgf@xa%
+ \advance\pgf@y by\pgf@ya%
+ {%
+ \advance\pgf@x by\pgf@xc%
+ \advance\pgf@y by\pgf@yc%
+ \advance\pgf@xa by\pgf@xc%
+ \advance\pgf@ya by\pgf@yc%
+ \expandafter\pgfsyssoftpath@curveto\pgf@temp{\the\pgf@x}{\the\pgf@y}{\the\pgf@xa}{\the\pgf@ya}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@protocolsizes{\pgf@xa}{\pgf@ya}%
+ }%
+ \pgf@xb=-\pgf@xb% flip second axis
+ \pgf@yb=-\pgf@yb%
+ \pgf@x=0.555\pgf@xb% third arc
+ \pgf@y=0.555\pgf@yb%
+ \advance\pgf@x by\pgf@xa%
+ \advance\pgf@y by\pgf@ya%
+ \advance\pgf@x by\pgf@xc%
+ \advance\pgf@y by\pgf@yc%
+ \edef\pgf@temp{{\the\pgf@x}{\the\pgf@y}}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@x=0.555\pgf@xa%
+ \pgf@y=0.555\pgf@ya%
+ \advance\pgf@x by\pgf@xb%
+ \advance\pgf@y by\pgf@yb%
+ {%
+ \advance\pgf@x by\pgf@xc%
+ \advance\pgf@y by\pgf@yc%
+ \advance\pgf@xb by\pgf@xc%
+ \advance\pgf@yb by\pgf@yc%
+ \expandafter\pgfsyssoftpath@curveto\pgf@temp{\the\pgf@x}{\the\pgf@y}{\the\pgf@xb}{\the\pgf@yb}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@protocolsizes{\pgf@xb}{\pgf@yb}%
+ }%
+ \pgf@xa=-\pgf@xa% flip first axis once more
+ \pgf@ya=-\pgf@ya%
+ \pgf@x=0.555\pgf@xa% fourth arc
+ \pgf@y=0.555\pgf@ya%
+ \advance\pgf@x by\pgf@xb%
+ \advance\pgf@y by\pgf@yb%
+ \advance\pgf@x by\pgf@xc%
+ \advance\pgf@y by\pgf@yc%
+ \edef\pgf@temp{{\the\pgf@x}{\the\pgf@y}}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@x=0.555\pgf@xb%
+ \pgf@y=0.555\pgf@yb%
+ \advance\pgf@x by\pgf@xa%
+ \advance\pgf@y by\pgf@ya%
+ {%
+ \advance\pgf@x by\pgf@xc%
+ \advance\pgf@y by\pgf@yc%
+ \advance\pgf@xa by\pgf@xc%
+ \advance\pgf@ya by\pgf@yc%
+ \expandafter\pgfsyssoftpath@curveto\pgf@temp{\the\pgf@x}{\the\pgf@y}{\the\pgf@xa}{\the\pgf@ya}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@protocolsizes{\pgf@xa}{\pgf@ya}%
+ }%
+ \pgfsyssoftpath@closepath%
+ \pgfsyssoftpath@moveto{\the\pgf@xc}{\the\pgf@yc}%
+}
+
+
+
+% Append a circle to the current path
+%
+% #1 = center
+% #2 = radius
+%
+% Example:
+%
+% % Append a circle of radius 3cm around the the point (1,1)
+% \pgfpathcircle{\pgxy(1,1)}{3cm}
+
+\def\pgfpathcircle#1#2{\pgfpathellipse{#1}{\pgfpoint{#2}{0pt}}{\pgfpoint{0pt}{#2}}}
+
+
+
+
+% Append a rectangle to the current path
+%
+% #1 = lower left corner point of rectangle
+% #2 = width and height vector
+%
+% Example:
+%
+% % A rectangle with corners (2,2) and (3,3)
+% \pgfpathrectangle{\pgfpointxy{2}{2}}{\pgfpointxy{1}{1}}
+
+\def\pgfpathrectangle{%
+ \let\pgfrect@next=\pgf@specialrect%
+ \ifpgf@pt@identity%
+ \ifpgf@arccorners%
+ \else%
+ \let\pgfrect@next=\pgf@normalrect%
+ \fi%
+ \fi%
+ \pgfrect@next%
+}
+
+\def\pgf@normalrect#1#2{%
+ \pgf@process{#2}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgfpointtransformed{#1}%
+ \pgfsyssoftpath@rect{\the\pgf@x}{\the\pgf@y}{\the\pgf@xa}{\the\pgf@ya}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \advance\pgf@x by\pgf@xa\relax%
+ \advance\pgf@y by\pgf@ya\relax%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+}
+
+\def\pgf@specialrect#1#2{%
+ \pgf@process{#2}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{#1}%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \advance\pgf@xa by\pgf@xb%
+ \advance\pgf@ya by\pgf@yb%
+ \pgfpathmoveto{\pgfqpoint{\pgf@xa}{\pgf@ya}}%
+ \pgfpathlineto{\pgfqpoint{\pgf@xb}{\pgf@ya}}%
+ \pgfpathlineto{\pgfqpoint{\pgf@xb}{\pgf@yb}}%
+ \pgfpathlineto{\pgfqpoint{\pgf@xa}{\pgf@yb}}%
+ \pgfpathclose%
+ \pgfpathmoveto{\pgfqpoint{\pgf@xb}{\pgf@yb}}%
+}
+
+% Append a rectangle to the current path
+%
+% #1 = one corner of the rectangle
+% #2 = opposite corner of the rectangle
+%
+% Example:
+%
+% % A rectangle with corners (2,2) and (3,3)
+% \pgfpathrectanglecorners{\pgfpointxy{2}{2}}{\pgfpointxy{3}{3}}
+
+\def\pgfpathrectanglecorners#1#2{%
+ \pgf@process{#2}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \pgf@process{#1}%
+ \advance\pgf@xc by-\pgf@x%
+ \advance\pgf@yc by-\pgf@y%
+ \pgfpathrectangle{#1}{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+}
+
+
+% Append a grid to the current path.
+%
+% #1 = lower left point of grid
+% #2 = upper right point of grid
+%
+% Options:
+%
+% stepx = x-step dimension (default 1cm)
+% stepy = y-step dimension (default 1cm)
+% step = dimesion vector
+%
+% Example:
+%
+% \pgfsetlinewidth{0.8pt}
+% \pgfgrid{\pgfxy(0,0)}{\pgfxy(3,2)}
+% \pgfsetlinewidth{0.4pt}
+% \pgfgrid[stepx=1cm,stepy=1cm]{\pgfxy(0,0)}{\pgfxy(3,2)}
+
+\pgfkeys{
+ /pgf/stepx/.initial=1cm,
+ /pgf/stepy/.initial=1cm,
+ /pgf/step/.code={\pgf@process{#1}\pgfkeysalso{/pgf/stepx/.expanded=\the\pgf@x,/pgf/stepy/.expanded=\the\pgf@y}},
+ /pgf/step/.value required
+}
+
+\def\pgfpathgrid{\pgfutil@ifnextchar[{\pgf@pathgrid}{\pgf@pathgrid[]}}
+\def\pgf@pathgrid[#1]#2#3{%
+ \pgfset{#1}%
+ \pgfmathsetlength\pgf@xc{\pgfkeysvalueof{/pgf/stepx}}%
+ \pgfmathsetlength\pgf@yc{\pgfkeysvalueof{/pgf/stepy}}%
+ \pgf@process{#3}%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \pgf@process{#2}%
+ \pgf@xa=\pgf@x\relax%
+ \pgf@ya=\pgf@y\relax%
+ {%
+ % compute bounding box
+ % first corner
+ \pgf@x=\pgf@xb%
+ \pgf@y=\pgf@yb%
+ \pgf@pos@transform{\pgf@x}{\pgf@y}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ % second corner
+ \pgf@x=\pgf@xb%
+ \pgf@y=\pgf@ya%
+ \pgf@pos@transform{\pgf@x}{\pgf@y}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ % third corner
+ \pgf@x=\pgf@xa%
+ \pgf@y=\pgf@yb%
+ \pgf@pos@transform{\pgf@x}{\pgf@y}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ % fourth corner
+ \pgf@x=\pgf@xa%
+ \pgf@y=\pgf@ya%
+ \pgf@pos@transform{\pgf@x}{\pgf@y}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ }%
+ \c@pgf@counta=\pgf@y\relax%
+ \c@pgf@countb=\pgf@yc\relax%
+ \divide\c@pgf@counta by\c@pgf@countb\relax%
+ \pgf@y=\c@pgf@counta\pgf@yc\relax%
+ \ifdim\pgf@y<\pgf@ya%
+ \advance\pgf@y by\pgf@yc%
+ \fi%
+ \loop% horizontal lines
+ {%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@pos@transform{\pgf@xa}{\pgf@ya}
+ \pgfsyssoftpath@moveto{\the\pgf@xa}{\the\pgf@ya}%
+ \pgf@xa=\pgf@xb%
+ \pgf@ya=\pgf@y%
+ \pgf@pos@transform{\pgf@xa}{\pgf@ya}
+ \pgfsyssoftpath@lineto{\the\pgf@xa}{\the\pgf@ya}%
+ }%
+ \advance\pgf@y by\pgf@yc%
+ \ifdim\pgf@y<\pgf@yb%
+ \repeat%
+ \advance\pgf@y by-0.01pt\relax%
+ \ifdim\pgf@y<\pgf@yb%
+ {%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@pos@transform{\pgf@xa}{\pgf@ya}
+ \pgfsyssoftpath@moveto{\the\pgf@xa}{\the\pgf@ya}%
+ \pgf@xa=\pgf@xb%
+ \pgf@ya=\pgf@y%
+ \pgf@pos@transform{\pgf@xa}{\pgf@ya}
+ \pgfsyssoftpath@lineto{\the\pgf@xa}{\the\pgf@ya}%
+ }%
+ \fi%
+ \c@pgf@counta=\pgf@x\relax%
+ \c@pgf@countb=\pgf@xc\relax%
+ \divide\c@pgf@counta by\c@pgf@countb\relax%
+ \pgf@x=\c@pgf@counta\pgf@xc\relax%
+ \ifdim\pgf@x<\pgf@xa%
+ \advance\pgf@x by\pgf@xc%
+ \fi%
+ \loop% vertical lines
+ {%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@ya%
+ \pgf@pos@transform{\pgf@xc}{\pgf@yc}
+ \pgfsyssoftpath@moveto{\the\pgf@xc}{\the\pgf@yc}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@yb%
+ \pgf@pos@transform{\pgf@xc}{\pgf@yc}
+ \pgfsyssoftpath@lineto{\the\pgf@xc}{\the\pgf@yc}%
+ }%
+ \advance\pgf@x by\pgf@xc%
+ \ifdim\pgf@x<\pgf@xb%
+ \repeat%
+ \advance\pgf@x by-0.01pt\relax%
+ \ifdim\pgf@x<\pgf@xb%
+ {%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@ya%
+ \pgf@pos@transform{\pgf@xc}{\pgf@yc}
+ \pgfsyssoftpath@moveto{\the\pgf@xc}{\the\pgf@yc}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@yb%
+ \pgf@pos@transform{\pgf@xc}{\pgf@yc}
+ \pgfsyssoftpath@lineto{\the\pgf@xc}{\the\pgf@yc}%
+ }%
+ \fi%
+}
+
+
+
+% Append two half-parabolas to the path
+%
+% #1 = bend (relative to current point)
+% #2 = end point (relative to bend point)
+%
+% Description:
+%
+% This command appends a half-parabola that starts at the current point
+% and has its bend at #1+current point. Then, a second parabola is
+% appended that starts at #1+current point, where it also has its
+% minimum/maximum, and ends at #1+current point+#2, which becomes the
+% new current point.
+%
+% By setting #2 = (0,0) you draw only a half parabola that goes from the
+% current point to the bend; by setting #1 = (0,0)
+% you draw a half parabola that going to current point + #2 and has its
+% bend at the current point.
+%
+% Examples:
+%
+% % Half-parabola going ``up and right''
+% \pgfpathmoveto{\pgfpointorigin}
+% \pgfpathparabola{\pgfpointorigin}{\pgfpoint{2cm}{4cm}}
+%
+% % Half-parabola going ``down and right''
+% \pgfpathmoveto{\pgfpointorigin}
+% \pgfpathparabola{\pgfpoint{-2cm}{4cm}}}{\pgfpointorigin}
+%
+% % Full parabola
+% \pgfpathmoveto{\pgfpointorigin}
+% \pgfpathparabola{\pgfpoint{-2cm}{4cm}}{\pgfpoint{2cm}{4cm}}
+
+\def\pgfpathparabola#1#2{%
+ {%
+ \pgf@process{#2}% untransformed
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \pgf@process{#1}% untransformed
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \pgfutil@tempswatrue%
+ \ifdim\pgf@xb=0pt\relax%
+ \ifdim\pgf@yb=0pt\relax%
+ \pgfutil@tempswafalse%
+ \fi%
+ \fi%
+ {%
+ \ifpgfutil@tempswa%
+ \pgf@arccornersfalse
+ \else%
+ \fi%
+ \pgfutil@tempswatrue%
+ \ifdim\pgf@xc=0pt\relax%
+ \ifdim\pgf@yc=0pt\relax%
+ \pgfutil@tempswafalse%
+ \fi%
+ \fi%
+ \ifpgfutil@tempswa
+ {%
+ \pgf@pt@x=\pgf@path@lastx%
+ \pgf@pt@y=\pgf@path@lasty%
+ \pgfpathcurveto%
+ {\pgfqpoint{.1125\pgf@xc}{.225\pgf@yc}}% found by trial and error
+ {\pgfqpoint{.5\pgf@xc}{\pgf@yc}}% found by trial and error
+ {\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ }%
+ \fi%
+ }%
+ \ifpgfutil@tempswa%
+ \pgf@xc=\pgf@xb%
+ \pgf@yc=\pgf@yb%
+ {%
+ \pgf@pt@x=\pgf@path@lastx%
+ \pgf@pt@y=\pgf@path@lasty%
+ \pgfpathcurveto%
+ {\pgfqpoint{.5\pgf@xc}{0\pgf@yc}}% found by trial and error
+ {\pgfqpoint{.8875\pgf@xc}{.775\pgf@yc}}% found by trial and error
+ {\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ }%
+ \fi%
+ }%
+}
+
+
+
+
+% Append a sine curve between 0 and \pi/2 to the path.
+%
+% #1 = vector, describing the width and height of the curve
+%
+% Description:
+%
+% This command appends a sine curve in the interval 0 and \pi/2 to the
+% current path. The sine curve ends at currentpoint+#1.
+%
+% Examples:
+%
+% % One complete sine in the interval [0,\pi]
+% \pgfpathmoveto{\pgfpointorigin}
+% \pgfpathsine{\pgfpoint{1.57cm}{1cm}}
+% \pgfpathcosine{\pgfpoint{3.141cm}{0cm}}
+
+\def\pgfpathsine#1{%
+ {%
+ \pgf@process{#1}% untransformed
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \pgf@pt@x=\pgf@path@lastx% evil trickery to transform to the last point
+ \pgf@pt@y=\pgf@path@lasty%
+ \pgfpathcurveto%
+ {\pgfqpoint{.31831\pgf@xc}{.5\pgf@yc}}% found by trial and error
+ {\pgfqpoint{.63503\pgf@xc}{\pgf@yc}}% found by trial and error
+ {\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ }%
+}
+
+% Append a cosine curve between 0 and \pi/2 to the path.
+%
+% #1 = vector, describing the width and height of the curve
+%
+% Examples:
+%
+% % One complete sine in the interval [0,\pi]
+% \pgfpathmoveto{\pgfpointorigin}
+% \pgfpathsine{\pgfpoint{1.57cm}{1cm}}
+% \pgfpathcosine{\pgfpoint{3.141cm}{0cm}}
+
+\def\pgfpathcosine#1{%
+ {%
+ \pgf@process{#1}% untransformed
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \pgf@pt@x=\pgf@path@lastx% evil trickery to transform to the last point
+ \pgf@pt@y=\pgf@path@lasty%
+ \pgfpathcurveto%
+ {\pgfqpoint{.36497\pgf@xc}{0pt}}% found by trial and error
+ {\pgfqpoint{.68169\pgf@xc}{.5\pgf@yc}}% found by trial and error
+ {\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ }%
+}
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex
new file mode 100644
index 00000000000..a8da0ca9410
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex
@@ -0,0 +1,465 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex,v 1.7 2008/01/23 15:22:29 tantau Exp $
+
+
+
+
+
+% Extract start and end vectors of a path
+%
+% #1 = a macro that stores a path
+%
+% Description:
+%
+% This command will extract the first and second coordinate on the
+% path as well as the last and second-last. These coordinates will be
+% put in the pgfpoint-macros \pgfpointfirstonpath,
+% \pgfpointsecondonpath, \pgfpointsecondlastonpath, and
+% \pgfpointlastonpath. If the path is empty, these macros are set to
+% \pgfpointorigin.
+%
+% Example:
+%
+% \pgfsyssoftpath@moveto{0}{0}
+% \pgfsyssoftpath@lineto{10}{10}
+% \pgfsyssoftpath@curveto{20}{20}{30}{30}{40}{40}
+% \pgfsyssoftpath@getcurrentpath\mypath
+% \pgfprocesspathextractpoints\mypath
+%
+% % \pgfpointfirstonpath is now \pgfpoint{0}{0}
+% % \pgfpointsecondonpath is now \pgfpoint{10bp}{10bp}
+% % \pgfpointsecondlastonpath is now \pgfpoint{30bp}{30bp}
+% % \pgfpointlastonpath is now \pgfpoint{40bp}{40bp}
+
+\def\pgfprocesspathextractpoints#1{%
+ \ifx#1\pgfutil@empty%
+ \let\pgfpointfirstonpath=\pgfpointorigin%
+ \let\pgfpointsecondonpath=\pgfpointorigin%
+ \let\pgfpointsecondlastonpath=\pgfpointorigin%
+ \let\pgfpointlastonpath=\pgfpointorigin%
+ \else%
+ \expandafter\pgf@extractprocessorfirst#1\pgf@stop%
+ \fi%
+}
+
+\def\pgf@extractprocessorfirst#1#2#3#4{%
+ \def\pgfpointfirstonpath{\pgfqpoint{#2}{#3}}%
+ \ifx#4\pgf@stop%
+ % pretty short path...
+ \let\pgfpointsecondonpath=\pgfpointfirstonpath%
+ \let\pgfpointsecondlastonpath=\pgfpointfirstonpath%
+ \let\pgfpointlastonpath=\pgfpointfirstonpath%
+ \let\next=\pgfutil@gobble%
+ \else
+ \let\next=\pgf@extractprocessorsecond%
+ \fi%
+ \next#4%
+}
+
+\def\pgf@extractprocessorsecond#1{%
+ \ifx#1\pgfsyssoftpath@movetotoken%
+ % Reset things...
+ \let\pgf@next=\pgf@extractprocessorfirst%
+ \else%
+ \let\pgf@next=\pgf@@extractprocessorsecond%
+ \fi%
+ \pgf@next#1%
+}
+\def\pgf@@extractprocessorsecond#1#2#3#4{%
+ \def\pgfpointsecondonpath{\pgfqpoint{#2}{#3}}%
+ \let\pgfpointsecondlastonpath=\pgfpointfirstonpath%
+ \let\pgfpointlastonpath=\pgfpointsecondonpath%
+ \ifx#4\pgf@stop%
+ % short path...
+ \let\next=\pgfutil@gobble%
+ \else
+ \let\next=\pgf@extractprocessorother%
+ \fi%
+ \next#4%
+}
+
+\def\pgf@extractprocessorother#1{%
+ \ifx#1\pgfsyssoftpath@movetotoken%
+ % Reset things...
+ \let\pgf@next=\pgf@extractprocessorfirst%
+ \else%
+ \let\pgf@next=\pgf@@extractprocessorother%
+ \fi%
+ \pgf@next#1%
+}
+\def\pgf@@extractprocessorother#1#2#3#4{%
+ \let\pgfpointsecondlastonpath=\pgfpointlastonpath%
+ \def\pgfpointlastonpath{\pgfqpoint{#2}{#3}}%
+ \ifx#4\pgf@stop%
+ % end!
+ \let\next=\pgfutil@gobble%
+ \fi%
+ \next#4%
+}
+
+
+
+% Check for closepath and rectangles
+%
+% #1 = a macro that stores a path
+% #2 = command to be executed when a closepath or a rectangle is encountered
+%
+% Example:
+%
+% \pgfsyssoftpath@moveto{0}{0}
+% \pgfsyssoftpath@lineto{10}{10}
+% \pgfsyssoftpath@curveto{20}{20}{30}{30}{40}{40}
+% \pgfsyssoftpath@getcurrentpath\mypath
+% \pgfprocesscheckclosed{\mypath}{\pgf@drawarrowsfalse}
+
+\def\pgfprocesscheckclosed#1#2{%
+ {%
+ \global\let\pgf@proc@todo=\relax%
+ \let\pgfsyssoftpath@movetotoken=\pgfutil@gobbletwo%
+ \let\pgfsyssoftpath@linetotoken=\pgfutil@gobbletwo%
+ \let\pgfsyssoftpath@curvetosupportatoken=\pgfutil@gobbletwo%
+ \let\pgfsyssoftpath@curvetosupportbtoken=\pgfutil@gobbletwo%
+ \let\pgfsyssoftpath@curvetotoken=\pgfutil@gobbletwo%
+ \def\pgfsyssoftpath@rectcornertoken{\gdef\pgf@proc@todo{#2}\pgfutil@gobbletwo}%
+ \def\pgfsyssoftpath@rectsizetoken{\gdef\pgf@proc@todo{#2}\pgfutil@gobbletwo}%
+ \def\pgfsyssoftpath@closepathtoken{\gdef\pgf@proc@todo{#2}\pgfutil@gobbletwo}%
+ #1%
+ }%
+ \pgf@proc@todo%
+}
+
+
+% Resolve specialround
+%
+% #1 = a macro that stores a path
+% #2 = a macro that stores the new path
+%
+% Description:
+%
+% Resolves all specialround tokens. When such a token is encountered,
+% the objective is to replace the next corner by a rounded corner.
+%
+
+\def\pgfprocessround#1#2{%
+ % first, check whether #1 contains \pgfsyssoftpath@specialroundtoken.
+ % if not, do quick assignment!
+ \expandafter\pgf@processroundcheck\expandafter#1\expandafter#2#1\pgfsyssoftpath@specialroundtoken\pgf@stop%
+}
+
+\def\pgf@processroundcheck#1#2#3\pgfsyssoftpath@specialroundtoken#4\pgf@stop{%
+ \def\pgf@test{#4}%
+ \ifx\pgf@test\pgfutil@empty%
+ % ok, nothing to be done!
+ \let#2=#1%
+ \else%
+ % very well...
+ \pgf@@processround#1#2%
+ \fi%
+}
+
+
+\def\pgf@@processround#1#2{%
+ \let\pgfprocess@newpath\pgfutil@empty%
+ \let\pgfprocess@moveto\pgfutil@empty%
+ \let\pgfprocess@firstto\pgfutil@empty%
+ \let\pgfprocess@segment\pgfutil@empty%
+ \pgf@xa=0pt%
+ \pgf@ya=0pt%
+ \expandafter\pgfprocess@round#1\pgf@stop{0pt}{0pt}%
+ \expandafter\pgfutil@g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@moveto}%
+ \expandafter\pgfutil@g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@segment}%
+ \let#2=\pgfprocess@newpath%
+}
+
+\def\pgfprocess@round#1#2#3{%
+ \ifx#1\pgf@stop%
+ \let\next=\relax%
+ \else%
+ \ifx#1\pgfsyssoftpath@specialroundtoken%
+ \def\pgfprocess@savex{#2}%
+ \def\pgfprocess@savey{#3}%
+ \let\next=\pgfprocess@specialround%
+ \ifdim#2=0pt%
+ \ifdim#3=0pt%
+ \let\next=\pgfprocess@round% skip!
+ \fi%
+ \fi%
+ \else%
+ \ifx\pgfprocess@firstto\pgfutil@empty%
+ \def\pgfprocess@firstto{{#2}{#3}}%
+ \fi%
+ \pgf@xa=#2%
+ \pgf@ya=#3%
+ \ifx#1\pgfsyssoftpath@movetotoken%
+ % ok, move old segment to newpath
+ \expandafter\pgfutil@g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@moveto}%
+ \expandafter\pgfutil@g@addto@macro\expandafter\pgfprocess@newpath\expandafter{\pgfprocess@segment}%
+ \def\pgfprocess@moveto{#1{#2}{#3}}%
+ \let\pgfprocess@firstto=\pgfutil@empty%
+ \let\pgfprocess@segment=\pgfutil@empty%
+ \else%
+ \pgfutil@g@addto@macro\pgfprocess@segment{#1{#2}{#3}}%
+ \fi%
+ \let\next=\pgfprocess@round%
+ \fi%
+ \fi%
+ \next%
+}
+
+\def\pgfprocess@specialround#1#2#3{%
+ \ifx\pgfprocess@firstto\pgfutil@empty%
+ \def\pgfprocess@firstto{{#2}{#3}}%
+ \fi%
+ \let\next=\pgfprocess@round% default: do nothing
+ \ifx#1\pgfsyssoftpath@linetotoken%
+ % Ok, round a lineto
+ \let\next=\pgfprocess@specialroundcope%
+ \else%
+ \ifx#1\pgfsyssoftpath@curvetosupportatoken%
+ % Ok, round a curveto.
+ \let\next=\pgfprocess@specialroundcurveto%
+ \else%
+ \ifx#1\pgfsyssoftpath@closepathtoken%
+ % Ok, round a closepath (this is tricky...)
+ \let\next=\pgfprocess@specialroundclose%
+ \fi%
+ \fi%
+ \fi%
+ \next#1{#2}{#3}%
+}%
+
+\def\pgfprocess@specialroundcope#1#2#3#4#5#6{%
+ \let\next=\pgfprocess@round% do nothing by default
+ \let\pgfprocess@continueafterrounding=\pgfprocess@round%
+ \ifx#4\pgfsyssoftpath@linetotoken%
+ % ok, let's get kicking...
+ \pgf@xc=#5%
+ \pgf@yc=#6%
+ \let\next=\pgfprocess@@specialround%
+ \else%
+ \ifx#4\pgfsyssoftpath@curvetosupportatoken%
+ \pgf@xc=#5%
+ \pgf@yc=#6%
+ \let\next=\pgfprocess@@specialround%
+ \else%
+ \ifx#4\pgfsyssoftpath@closepathtoken%
+ \pgf@xc=#5%
+ \pgf@yc=#6%
+ \let\next=\pgfprocess@@specialround%
+ \else
+ \ifx#4\pgfsyssoftpath@specialroundtoken%
+ \let\next=\pgfprocess@@findrightcoordinates%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \next#1{#2}{#3}#4{#5}{#6}%
+}
+
+\def\pgfprocess@@findrightcoordinates#1#2#3#4#5#6#7#8#9{%
+ \pgf@xc=#8%
+ \pgf@yc=#9%
+ \pgfprocess@@specialround#1{#2}{#3}#4{#5}{#6}#7{#8}{#9}%
+}
+
+\def\pgfprocess@@specialround#1#2#3{%
+ \pgfutil@g@addto@macro\pgfprocess@segment{#1}%
+ % calculate start coordinate of the curve
+ \pgf@xb=#2%
+ \pgf@yb=#3%
+ %
+ \edef\pgf@marshal%
+ {\noexpand\pgfpointlineatdistance{\pgfprocess@savex}%
+ {\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ {\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}}}%
+ \pgf@process{\pgf@marshal}%
+ \pgf@xa=\pgf@x% save start point of added curve
+ \pgf@ya=\pgf@y%
+ \edef\pgfprocess@addition{{\the\pgf@x}{\the\pgf@y}}%
+ \expandafter\pgfutil@g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
+ %
+ % now add curve
+ %
+ \edef\pgf@marshal%
+ {\noexpand\pgfpointlineatdistance{\pgfprocess@savey}%
+ {\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}}%
+ \pgf@process{\pgf@marshal}%
+ \pgf@xc=\pgf@x% save end point of added curve
+ \pgf@yc=\pgf@y%
+ % calculate first support:
+ {%
+ \pgf@x=\pgf@xb%
+ \pgf@y=\pgf@yb%
+ \advance\pgf@x by-\pgf@xa%
+ \advance\pgf@y by-\pgf@ya%
+ \advance\pgf@xa by 0.555\pgf@x%
+ \advance\pgf@ya by 0.555\pgf@y%
+ \edef\pgfprocess@addition{\noexpand\pgfsyssoftpath@curvetosupportatoken{\the\pgf@xa}{\the\pgf@ya}}%
+ \expandafter\pgfutil@g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
+ }%
+ % calculate second support:
+ {%
+ \pgf@x=\pgf@xb%
+ \pgf@y=\pgf@yb%
+ \advance\pgf@x by-\pgf@xc%
+ \advance\pgf@y by-\pgf@yc%
+ \advance\pgf@xc by 0.555\pgf@x%
+ \advance\pgf@yc by 0.555\pgf@y%
+ \edef\pgfprocess@addition{\noexpand\pgfsyssoftpath@curvetosupportbtoken{\the\pgf@xc}{\the\pgf@yc}}%
+ \expandafter\pgfutil@g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
+ }%
+ % add end:
+ \edef\pgfprocess@addition{\noexpand\pgfsyssoftpath@curvetotoken{\the\pgf@xc}{\the\pgf@yc}}%
+ \expandafter\pgfutil@g@addto@macro\expandafter\pgfprocess@segment\expandafter{\pgfprocess@addition}%
+ %
+ % continue!
+ %
+ \pgf@xa=#2%
+ \pgf@ya=#3%
+ \pgfprocess@continueafterrounding%
+}
+
+\def\pgfprocess@specialroundcurveto#1#2#3#4#5#6{%
+ \pgfutil@g@addto@macro\pgfprocess@segment{#1{#2}{#3}#4{#5}{#6}}% supports
+ \pgf@xa=#5%
+ \pgf@ya=#6%
+ \pgfprocess@specialroundcope}
+
+\def\pgfprocess@specialroundclose{%
+ \let\next=\pgfprocess@round%
+ \ifx\pgfprocess@moveto\pgfutil@empty%
+ \else%
+ \ifx\pgfprocess@firstto\pgfutil@empty%
+ \else%
+ \expandafter\pgfprocess@@specialclosetarget\pgfprocess@firstto%
+ \let\pgfprocess@continueafterrounding=\pgfprocess@cleanupafterclose%
+ \edef\next{%
+ \noexpand\pgfprocess@@specialround%
+ \expandafter\expandafter\expandafter\noexpand\expandafter\pgfprocess@@specialclosemoveto\pgfprocess@moveto%
+ }%
+ \fi%
+ \fi%
+ \next%
+}
+
+\def\pgfprocess@@specialclosetarget#1#2{%
+ \pgf@xc=#1%
+ \pgf@yc=#2%
+}
+
+\def\pgfprocess@@specialclosemoveto#1#2#3{%
+ \pgfsyssoftpath@linetotoken{#2}{#3}%
+}
+
+
+\def\pgfprocess@cleanupafterclose#1#2#3{%
+ \edef\pgfprocess@moveto{\noexpand\pgfsyssoftpath@movetotoken{\the\pgf@xc}{\the\pgf@yc}}%
+ \edef\pgf@marshal{\noexpand\pgfprocess@round\noexpand\pgfsyssoftpath@closepathtoken{\the\pgf@xc}{\the\pgf@yc}}%
+ \pgf@marshal%
+}
+
+
+% Replace start and end coordinates of a path
+%
+% #1 = new start coordinate
+% #2 = new end coordinate
+%
+% Description:
+%
+% This command will replace the first and last coordinates on a path
+% by the given coordinates.
+%
+% Example:
+%
+% \pgfsyssoftpath@moveto{0}{0}
+% \pgfsyssoftpath@lineto{10}{10}
+% \pgfsyssoftpath@curveto{20}{20}{30}{10}{40}{0}
+% \pgfsyssoftpath@getcurrentpath\mypath
+% \pgfsetlinewidth{2pt}
+% \pgfusepath{stroke}
+% \pgfprocesspathextractpoints{\mypath}
+% \pgfprocesspathreplacestartandend{\mypath}
+% {\pgfpointlineatdistance{2pt}{\pgfpointfirstonpath}{\pgfpointsecondonpath}}%
+% {\pgfpointlineatdistance{2pt}{\pgfpointlastonpath}{\pgfpointsecondlastonpath}}%
+% \pgfsyssoftpath@setcurrentpath\mypath
+% \pgfsetlinewidth{1pt}
+% \color{red}
+% \pgfusepath{stroke}
+
+\def\pgfprocesspathreplacestartandend#1#2#3{%
+ \ifx#1\pgfutil@empty%
+ \else%
+ {%
+ % We (mis)use the current path to store (in a buffered manner) the
+ % rest path.
+ \pgfsyssoftpath@getcurrentpath\pgf@replace@origpath%
+ \let\pgf@prepath=\pgfutil@empty%
+ \pgf@process{#3}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{#2}%
+ \expandafter\pgf@replaceprocessfirst#1\pgf@stop%
+ \pgfsyssoftpath@getcurrentpath\pgf@restpath%
+ \expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\gdef%
+ \expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter#1%
+ \expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter{%
+ \expandafter\expandafter\expandafter\pgf@prepath%
+ \expandafter\pgf@newstart\pgf@restpath}%
+ % Restore current path
+ \pgfsyssoftpath@setcurrentpath\pgf@replace@origpath%
+ }%
+ \fi%
+}
+
+\def\pgf@replaceprocessfirst#1#2#3#4{%
+ \def\pgf@origstart{#1{#2}{#3}}%
+ \edef\pgf@newstart{\noexpand#1{\the\pgf@x}{\the\pgf@y}}%
+ \pgfsyssoftpath@setcurrentpath\pgfutil@empty%
+ \ifx#4\pgf@stop%
+ \let\pgf@next=\pgfutil@gobble%
+ \else%
+ \let\pgf@next=\pgf@replaceprocessother%
+ \let\pgf@@next=\pgf@@replaceprocessother%
+ \fi%
+ \pgf@next#4%
+}
+
+\def\pgf@replaceprocessother#1{%
+ \ifx#1\pgfsyssoftpath@movetotoken%
+ \pgf@replace@handle@move%
+ \fi%
+ \pgf@@next#1%
+}
+\def\pgf@@replaceprocessother#1#2#3#4{%
+ \ifx#4\pgf@stop%
+ \edef\pgf@restpathaddition{{\noexpand#1{\the\pgf@xa}{\the\pgf@ya}}}%
+ \expandafter\pgfsyssoftpath@addtocurrentpath\pgf@restpathaddition%
+ \let\pgf@next=\pgfutil@gobble%
+ \else%
+ \pgfsyssoftpath@addtocurrentpath{#1{#2}{#3}}%
+ \fi%
+ \pgf@next#4%
+}
+
+\def\pgf@replace@handle@move{%
+ \pgfsyssoftpath@getcurrentpath\pgf@restpath%
+ % Arggghh! Must reset everything!
+ \expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\gdef%
+ \expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\pgf@prepath%
+ \expandafter\expandafter\expandafter\expandafter\expandafter\expandafter\expandafter{%
+ \expandafter\expandafter\expandafter\pgf@prepath%
+ \expandafter\pgf@origstart\pgf@restpath}%
+ % Redo first.
+ \let\pgf@@next=\pgf@replaceprocessfirst%
+}
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex
new file mode 100644
index 00000000000..e14a4e44447
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex
@@ -0,0 +1,228 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepathusage.code.tex,v 1.11 2008/01/23 13:15:28 tantau Exp $
+
+
+% Stroke/fill/clip/etc. the current path. Depending on the options,
+% the current path will be stroked/filled/clipped/etc. If no options
+% are given, the path is stroked. If multiple options are given, all
+% of them are performed (in a sensible order).
+%
+% #1 = action(s) to be applied to the current path. Valid actions are:
+% stroke - strokes the path. If no options are given, this is the
+% default.
+% draw - same as stroke.
+% fill - fills the path.
+% clip - clip the path.
+% discard - Discards the path. Same effect as having an empty
+% options list.
+%
+% Example:
+%
+% % Draws an edge.
+% \pgfpathmoveto{\pgfxy(0,0)}
+% \pgfpathlineto{\pgfxy(0,1)}
+% \pgfpathlineto{\pgfxy(1,0)}
+% \pgfusepath{stroke}
+
+\pgfkeys{
+ /pgf/stroke/.code=\def\pgf@up@stroke{stroke},
+ /pgf/draw/.code=\def\pgf@up@stroke{stroke},
+ /pgf/fill/.code=\def\pgf@up@fill{fill},
+ /pgf/clip/.code=\def\pgf@up@clip{clip},
+ /pgf/discard/.code=,
+ /pgf/use as bounding box/.code=\def\pgf@up@bb{\pgf@relevantforpicturesizefalse}
+}
+
+\def\pgfusepath#1{%
+ \let\pgf@up@stroke\pgfutil@empty%
+ \let\pgf@up@fill\pgfutil@empty%
+ \let\pgf@up@clip\pgfutil@empty%
+ \let\pgf@up@discard\pgfutil@empty%
+ \let\pgf@up@bb\pgfutil@empty%
+ \pgfset{#1}%
+ \expandafter\def\expandafter\pgf@up@action\expandafter{\csname pgfsys@\pgf@up@fill\pgf@up@stroke\endcsname}%
+ \ifx\pgf@up@stroke\pgfutil@empty%
+ \ifx\pgf@up@fill\pgfutil@empty%
+ \ifx\pgf@up@clip\pgfutil@empty%
+ \let\pgf@up@action=\pgfutil@empty%
+ \pgfsyssoftpath@setcurrentpath\pgfutil@empty%
+ \else%
+ % only clipping
+ \let\pgf@up@action=\pgfsys@discardpath%
+ \fi%
+ \fi%
+ \fi%
+ \pgfsyssoftpath@getcurrentpath\pgf@last@processed@path
+ \pgfprocessround{\pgf@last@processed@path}{\pgf@last@processed@path}% change the path
+ \pgfsyssoftpath@setcurrentpath\pgf@last@processed@path%
+ %
+ % Check whether the path is stroked. If so, add half the line width
+ % to the bounding box.
+ %
+ \ifpgf@relevantforpicturesize%
+ \ifx\pgf@up@stroke\pgfutil@empty%
+ \else%
+ \ifdim\pgf@picmaxx=-16000pt\relax%
+ \else%
+ \pgf@x=\pgf@pathminx\advance\pgf@x by-.5\pgflinewidth%
+ \ifdim\pgf@x<\pgf@picminx\global\pgf@picminx\pgf@x\fi%
+ \pgf@y=\pgf@pathminy\advance\pgf@y by-.5\pgflinewidth%
+ \ifdim\pgf@y<\pgf@picminy\global\pgf@picminy\pgf@y\fi%
+ \pgf@x=\pgf@pathmaxx\advance\pgf@x by.5\pgflinewidth%
+ \ifdim\pgf@x>\pgf@picmaxx\global\pgf@picmaxx\pgf@x\fi%
+ \pgf@y=\pgf@pathmaxy\advance\pgf@y by.5\pgflinewidth%
+ \ifdim\pgf@y>\pgf@picmaxy\global\pgf@picmaxy\pgf@y\fi%
+ \fi%
+ \fi%
+ \fi%
+ %
+ \ifx\pgf@up@clip\pgfutil@empty%
+ \ifx\pgf@up@stroke\pgfutil@empty%
+ \pgfsyssoftpath@invokecurrentpath%
+ \pgfsyssoftpath@getcurrentpath\pgf@last@used@path%
+ \pgf@up@action%
+ \else%
+ \pgf@check@for@arrows%
+ \ifpgf@drawarrows%
+ \pgf@shorten@path@as@needed%
+ \pgfsyssoftpath@invokecurrentpath%
+ \pgfsyssoftpath@getcurrentpath\pgf@last@used@path%
+ \pgf@up@action%
+ \pgfsyssoftpath@setcurrentpath\pgfutil@empty%
+ \pgf@add@arrows@as@needed%
+ \else%
+ \pgfsyssoftpath@invokecurrentpath%
+ \pgfsyssoftpath@getcurrentpath\pgf@last@used@path%
+ \pgf@up@action%
+ \fi%
+ \fi%
+ \else%
+ \pgfsyssoftpath@invokecurrentpath%
+ \pgfsyssoftpath@getcurrentpath\pgf@last@used@path%
+ \pgfsys@clipnext%
+ \pgf@up@action%
+ \pgf@relevantforpicturesizefalse%
+ \fi%
+ \pgf@up@bb%
+ \pgfsyssoftpath@setcurrentpath\pgfutil@empty%
+ \pgf@resetpathsizes%
+ \ignorespaces%
+}
+
+
+% Shorten start/end of paths by a certain amount.
+%
+% #1 = amount by which paths should be shortened.
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpointorigin}
+% \pgfpathlineto{\pgfpoint{10pt}{0pt}
+%
+% % The following has the same effect:
+% \pgfsetshortenstart{1pt}
+% \pgfpathmoveto{\pgfpointorigin}
+% \pgfpathlineto{\pgfpoint{11pt}{0pt}
+
+\def\pgfsetshortenstart#1{\pgfmathsetlength\pgf@shorten@start@additional{#1}}
+\def\pgfsetshortenend#1{\pgfmathsetlength\pgf@shorten@end@additional{#1}}
+
+\newif\ifpgf@drawarrows
+
+\def\pgf@check@for@arrows{%
+ \pgf@drawarrowsfalse%
+ \ifx\pgf@startarrow\pgfutil@empty\else\pgf@drawarrowstrue\fi%
+ \ifx\pgf@endarrow\pgfutil@empty\else\pgf@drawarrowstrue\fi%
+ \ifdim\pgf@shorten@end@additional=0pt\relax\else\pgf@drawarrowstrue\fi%
+ \ifdim\pgf@shorten@start@additional=0pt\relax\else\pgf@drawarrowstrue\fi%
+ \ifpgf@drawarrows%
+ \pgfsyssoftpath@getcurrentpath\pgf@arrowpath%
+ \ifx\pgf@arrowpath\pgfutil@empty%
+ \pgf@drawarrowsfalse%
+ \else%
+ \pgfprocesscheckclosed{\pgf@arrowpath}{\pgf@drawarrowsfalse}%
+ \fi%
+ \fi%
+}
+
+\newdimen\pgf@shorten@end@additional
+\newdimen\pgf@shorten@start@additional
+
+\let\pgf@shorten@end=\pgfutil@empty
+\let\pgf@shorten@start=\pgfutil@empty
+
+\def\pgf@shorten@path@as@needed{%
+ \pgfprocesspathextractpoints{\pgf@arrowpath}%
+ \let\pgf@arrow@next=\pgf@shorten@now%
+ \ifx\pgf@shorten@start\pgfutil@empty%
+ \ifx\pgf@shorten@end\pgfutil@empty%
+ \ifdim\pgf@shorten@end@additional=0pt\relax%
+ \ifdim\pgf@shorten@start@additional=0pt\relax%
+ \let\pgf@arrow@next=\relax%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \pgf@arrow@next%
+}
+
+\def\pgf@shorten@now{%
+ {%
+ \pgf@x=0pt%
+ \pgf@shorten@start%
+ \advance\pgf@x by\pgf@shorten@start@additional%
+ \pgf@xc=\pgf@x%
+ \pgfpointlineatdistance{\pgf@xc}{\pgfpointfirstonpath}{\pgfpointsecondonpath}%
+ \global\pgf@xb=\pgf@x%
+ \global\pgf@yb=\pgf@y%
+ \pgf@process{\pgfpointsecondonpath}%
+ \global\advance\pgf@x by\pgf@xa%
+ \global\advance\pgf@y by\pgf@ya%
+ }%
+ \edef\pgfpointfirstonpath{\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ \edef\pgfpointsecondonpath{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ {%
+ \pgf@x=0pt%
+ \pgf@shorten@end%
+ \advance\pgf@x by\pgf@shorten@end@additional%
+ \pgf@xc=\pgf@x%
+ \pgfpointlineatdistance{\pgf@xc}{\pgfpointlastonpath}{\pgfpointsecondlastonpath}%
+ \global\pgf@xb=\pgf@x%
+ \global\pgf@yb=\pgf@y%
+ \pgf@process{\pgfpointsecondlastonpath}%
+ \global\advance\pgf@x by\pgf@xa%
+ \global\advance\pgf@y by\pgf@ya%
+ }%
+ \edef\pgfpointlastonpath{\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ \edef\pgfpointsecondlastonpath{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ \pgfprocesspathreplacestartandend{\pgf@arrowpath}{\pgfpointfirstonpath}{\pgfpointlastonpath}%
+ \pgfsyssoftpath@setcurrentpath\pgf@arrowpath%
+}
+
+\def\pgf@add@arrows@as@needed{%
+ \ifx\pgf@startarrow\pgfutil@empty%
+ \else%
+ \pgflowlevelobj%
+ {\pgftransformarrow{\pgfpointsecondonpath}{\pgfpointfirstonpath}}
+ {\pgf@startarrow}%
+ \fi%
+ \ifx\pgf@endarrow\pgfutil@empty%
+ \else%
+ \pgflowlevelobj%
+ {\pgftransformarrow{\pgfpointsecondlastonpath}{\pgfpointlastonpath}}
+ {\pgf@endarrow}%
+ \fi%
+}
+
+\let\pgf@startarrow=\pgfutil@empty
+\let\pgf@endarrow=\pgfutil@empty
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex
new file mode 100644
index 00000000000..3ab2b4e009b
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex
@@ -0,0 +1,1173 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorepoints.code.tex,v 1.13 2008/02/03 19:37:26 tantau Exp $
+
+\newdimen\pgf@picminx
+\newdimen\pgf@picmaxx
+\newdimen\pgf@picminy
+\newdimen\pgf@picmaxy
+
+\newdimen\pgf@pathminx
+\newdimen\pgf@pathmaxx
+\newdimen\pgf@pathminy
+\newdimen\pgf@pathmaxy
+
+\newif\ifpgf@relevantforpicturesize
+
+\def\pgf@process#1{{#1\global\pgf@x=\pgf@x\global\pgf@y=\pgf@y}}
+
+% Save a point.
+%
+% #1 = macro for storing point.
+% #2 = code for point (should define x and y)
+%
+% Example:
+%
+% \pgfextract@process\mypoint{\pgf@x=10pt \pgf@y10pt}
+% \pgfextract@process\myarcpoint{\pgfpointpolar{30}{5cm and 2cm}}
+
+\def\pgfextract@process#1#2{%
+ \pgf@process{#2}%
+ \edef#1{\noexpand\pgf@x\the\pgf@x\noexpand\pgf@y\the\pgf@y}%
+}
+% This needed until old shapes code changed.
+\let\pgfsavepgf@process\pgfextract@process%
+
+
+% Return a point
+%
+% #1 = x-coordinate of the point
+% #2 = y-coordinate of the point
+%
+% x = #1
+% y = #2
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpoint{2pt+3cm}{3cm}}
+
+\def\pgfpoint#1#2{%
+ \pgfmathsetlength\pgf@x{#1}%
+ \pgfmathsetlength\pgf@y{#2}\ignorespaces}
+
+
+% Quickly a point
+%
+% #1 = x-coordinate of the point (no calculations done)
+% #2 = y-coordinate of the point (no calculations done)
+%
+% x = #1
+% y = #2
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfqpoint{2pt}{3cm}}
+
+\def\pgfqpoint#1#2{\pgf@x=#1\pgf@y=#2}
+
+
+
+% Return the origin.
+%
+% x = 0
+% y = 0
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpointorigin}
+
+\def\pgfpointorigin{\pgf@x=0pt\pgf@y=\pgf@x\ignorespaces}
+
+
+
+% Return a transformed point
+%
+% #1 = a point
+%
+% Description:
+%
+% This command applies pgf's current transformation matrix to the
+% given point. Normally, this is done automatically by commands like
+% lineto or moveto, but sometimes you may wish to access a transformed
+% point yourself. In the below example, this command is used for a low level
+% coordinate system shift.
+%
+% In addition to applying the transformation matrix to the given
+% point, this function also applies the pre- and post-morphing
+% macros.
+%
+% Example:
+%
+% \begin{pgflowleveltransformshiftscope}{\pgfpointtransformed{\pgfpointorigin}}
+% \pgfbox[center,center]{Hi!}
+% \end{pgflowleveltransformshiftscope}
+
+\def\pgfpointtransformed#1{%
+ \pgf@process{%
+ #1%
+ \pgfmorph@prelist%
+ \pgf@pos@transform{\pgf@x}{\pgf@y}%
+ \pgfmorph@postlist%
+ }%
+}
+
+
+% Return the difference vector of two points.
+%
+% #1 = start of vector
+% #2 = end of vector
+%
+% x = x-component of difference
+% y = y-component of difference
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpointdiff{\pgfpointxy{1}{1}}{\pgfpointxy{2}{3}}}
+
+\def\pgfpointdiff#1#2{%
+ \pgf@process{#1}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{#2}%
+ \advance\pgf@x by-\pgf@xa\relax%
+ \advance\pgf@y by-\pgf@ya\relax\ignorespaces}
+
+% Add two vectors.
+%
+% #1 = first vector
+% #2 = second vector
+%
+% x = x-component of addition
+% y = y-component of addition
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpointadd{\pgfpointxy{0}{1}}{\pgfpointxy{2}{3}}}
+
+\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}
+
+
+
+% Multiply a vector by a factor.
+%
+% #1 = factor
+% #2 = vector
+%
+% Example:
+%
+% \pgfpointscale{2}{\pgfpointxy{0}{1}}
+
+\def\pgfpointscale#1#2{%
+ \pgf@process{#2}%
+ \pgf@x=#1\pgf@x%
+ \pgf@y=#1\pgf@y%
+}
+
+
+% The intersection of two lines
+%
+% #1 = point on first line
+% #2 = another point on first line
+% #3 = point on second line
+% #4 = another point on second line
+%
+% Returns the intersection of the two lines. If there is no
+% intersection or if the points #1 and #2 or the points #3 and #4 are
+% identical, the behaviour is not specified.
+%
+% Example:
+%
+% \pgfpointintersectionoflines{\pgfpointxy{0}{1}}{\pgfpointxy{1}{0}}{\pgfpointxy{2}{2}}{\pgfpointxy{3}{4}}
+
+\def\pgfpointintersectionoflines#1#2#3#4{%
+ {
+ %
+ % Compute orthogonal vector to #1--#2
+ %
+ \pgf@process{#2}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{#1}%
+ \advance\pgf@xa by-\pgf@x%
+ \advance\pgf@ya by-\pgf@y%
+ \pgf@ya=-\pgf@ya%
+ % Normalise a bit
+ \c@pgf@counta=\pgf@xa%
+ \ifnum\c@pgf@counta<0\relax%
+ \c@pgf@counta=-\c@pgf@counta\relax%
+ \fi%
+ \c@pgf@countb=\pgf@ya%
+ \ifnum\c@pgf@countb<0\relax%
+ \c@pgf@countb=-\c@pgf@countb\relax%
+ \fi%
+ \advance\c@pgf@counta by\c@pgf@countb\relax%
+ \divide\c@pgf@counta by 65536\relax%
+ \ifnum\c@pgf@counta>0\relax%
+ \divide\pgf@xa by\c@pgf@counta\relax%
+ \divide\pgf@ya by\c@pgf@counta\relax%
+ \fi%
+ %
+ % Compute projection
+ %
+ \pgf@xc=\pgf@sys@tonumber{\pgf@ya}\pgf@x%
+ \advance\pgf@xc by\pgf@sys@tonumber{\pgf@xa}\pgf@y%
+ %
+ % The orthogonal vector is (\pgf@ya,\pgf@xa)
+ %
+ %
+ % Compute orthogonal vector to #3--#4
+ %
+ \pgf@process{#4}%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \pgf@process{#3}%
+ \advance\pgf@xb by-\pgf@x%
+ \advance\pgf@yb by-\pgf@y%
+ \pgf@yb=-\pgf@yb%
+ % Normalise a bit
+ \c@pgf@counta=\pgf@xb%
+ \ifnum\c@pgf@counta<0\relax%
+ \c@pgf@counta=-\c@pgf@counta\relax%
+ \fi%
+ \c@pgf@countb=\pgf@yb%
+ \ifnum\c@pgf@countb<0\relax%
+ \c@pgf@countb=-\c@pgf@countb\relax%
+ \fi%
+ \advance\c@pgf@counta by\c@pgf@countb\relax%
+ \divide\c@pgf@counta by 65536\relax%
+ \ifnum\c@pgf@counta>0\relax%
+ \divide\pgf@xb by\c@pgf@counta\relax%
+ \divide\pgf@yb by\c@pgf@counta\relax%
+ \fi%
+ %
+ % Compute projection
+ %
+ \pgf@yc=\pgf@sys@tonumber{\pgf@yb}\pgf@x%
+ \advance\pgf@yc by\pgf@sys@tonumber{\pgf@xb}\pgf@y%
+ %
+ % The orthogonal vector is (\pgf@yb,\pgf@xb)
+ %
+ % Setup transformation matrx (this is just to use the matrix
+ % inversion)
+ %
+ \pgfsettransform{{\pgf@sys@tonumber\pgf@ya}{\pgf@sys@tonumber\pgf@yb}{\pgf@sys@tonumber\pgf@xa}{\pgf@sys@tonumber\pgf@xb}{0pt}{0pt}}%
+ \pgftransforminvert%
+ \pgf@process{\pgfpointtransformed{\pgfpoint{\pgf@xc}{\pgf@yc}}}%
+ }%
+}
+
+
+% The intersection of two circles
+%
+% #1 = center of first circle
+% #2 = center of second circle
+% #3 = radius of first circle
+% #4 = radius of second circle
+% #5 = solution number
+%
+% Returns the intersection of the two circles. If #5 is to "1", the
+% first intersection is returned, otherwise the second. If the circles
+% do not intersect, an error may occur.
+%
+% Example:
+%
+% \pgfpointintersectionofcircles{\pgfpointxy{0}{1}}{\pgfpointxy{1}{0}}{1cm}{1cm}{1}
+
+\def\pgfpointintersectionofcircles#1#2#3#4#5{%
+ {%
+ % Store first point in (xa,ya) and radius in xc.
+ \pgf@process{#1}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgfmathsetlength{\pgf@xc}{#3}%
+ % Store second point in (xb,yb) and radius in yc.
+ \pgf@process{#2}%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \pgfmathsetlength{\pgf@yc}{#4}%
+ %
+ % Ok, now make numbers smaller, in case they are too large
+ %
+ \c@pgf@counta=1\relax%
+ \loop%
+ \pgf@scale@downfalse%
+ \ifdim\pgf@xc>50pt\relax%
+ \pgf@scale@downtrue%
+ \fi%
+ \ifdim\pgf@yc>50pt\relax%
+ \pgf@scale@downtrue%
+ \fi%
+ \ifpgf@scale@down%
+ \multiply\c@pgf@counta by2\relax%
+ \divide\pgf@xa by2\relax%
+ \divide\pgf@ya by2\relax%
+ \divide\pgf@xb by2\relax%
+ \divide\pgf@yb by2\relax%
+ \divide\pgf@xc by2\relax%
+ \divide\pgf@yc by2\relax%
+ \repeat%
+ % The following code is taken from the Dr. Math internet forum:
+ %
+ % Let the centers be: (a,b), (c,d)
+ % Let the radii be: r, s
+ %
+ % e = c - a [difference in x coordinates]
+ % f = d - b [difference in y coordinates]
+ % p = sqrt(e^2 + f^2) [distance between centers]
+ % k = (p^2 + r^2 - s^2)/(2p) [distance from center 1 to line
+ % joining points of intersection]
+ % x = a + ek/p + (f/p)sqrt(r^2 - k^2)
+ % y = b + fk/p - (e/p)sqrt(r^2 - k^2)
+ % OR
+ % x = a + ek/p - (f/p)sqrt(r^2 - k^2)
+ % y = b + fk/p + (e/p)sqrt(r^2 - k^2)
+ %
+ % Since we are running low on registers, use
+ % \dimen0 for e
+ % \dimen1 for f
+ % \dimen2 for p
+ % \dimen3 for p^2
+ % \dimen4 for k
+ % \dimen5 for 1/p
+ % \dimen6 for sqrt(r^2 - k^2)
+ % \dimen7 for k^2
+ % \dimen8 for k/p
+ % \dimen9 for sqrt(r^2 - k^2)/p
+ % Also note that:
+ % \pgf@xa for a
+ % \pgf@ya for b
+ % \pgf@xb for c
+ % \pgf@yb for d
+ % \pgf@xc for r
+ % \pgf@yc for s
+ %
+ % Now:
+ % e = c - a
+ \dimen0=\pgf@xb%
+ \advance\dimen0 by-\pgf@xa%
+ % f = d - b
+ \dimen1=\pgf@yb%
+ \advance\dimen1 by-\pgf@ya%
+ % p^2 = e^2 + f^2
+ \pgf@x=\dimen0\relax%
+ \pgf@x=\pgf@sys@tonumber{\pgf@x}\pgf@x%
+ \dimen3=\pgf@x%
+ \pgf@x=\dimen1\relax%
+ \advance\dimen3 by\pgf@sys@tonumber{\pgf@x}\pgf@x%
+ % p = sqrt(p^2)
+ \pgfmathparse{sqrt(\the\dimen3)}%
+ \dimen2=\pgfmathresult pt%
+ % 1/p = 1/p
+ \pgfmathreciprocal@{\pgfmathresult}%
+ \dimen5=\pgfmathresult pt%
+ % k = (p^2 + r^2 - s^2)/(2p)
+ \dimen4=\dimen3\relax%
+ \pgf@x=\pgf@xc%
+ \advance\dimen4 by\pgf@sys@tonumber{\pgf@x}\pgf@x\relax%
+ \pgf@x=\pgf@yc%
+ \advance\dimen4 by-\pgf@sys@tonumber{\pgf@x}\pgf@x\relax%
+ \dimen4=.5\dimen4%
+ \dimen4=\pgf@sys@tonumber{\dimen5}\dimen4%
+ % dimen7 is k^2
+ \dimen7=\pgf@sys@tonumber{\dimen4}\dimen4\relax%
+ % dimen6 is sqrt(r^2 - k^2)
+ \pgfmathparse{sqrt(\pgf@sys@tonumber{\pgf@xc}\pgf@xc-\the\dimen7)}%
+ \dimen6=\pgfmathresult pt%
+ % dimen8 is k/p
+ \dimen8=\pgf@sys@tonumber{\dimen4}\dimen5\relax%
+ % dimen9 is sqrt(r^2 - k^2)/p
+ \dimen9=\pgf@sys@tonumber{\dimen6}\dimen5\relax%
+ \ifnum#5=1\relax%
+ % x = a + ek/p + (f/p)sqrt(r^2 - k^2)
+ \pgf@x=\pgf@xa%
+ \advance\pgf@x by\pgf@sys@tonumber{\dimen0}\dimen8\relax%
+ \advance\pgf@x by\pgf@sys@tonumber{\dimen1}\dimen9\relax%
+ % y = b + fk/p - (e/p)sqrt(r^2 - k^2)
+ \pgf@y=\pgf@ya%
+ \advance\pgf@y by\pgf@sys@tonumber{\dimen1}\dimen8\relax%
+ %temp
+ \pgf@xb=\pgf@sys@tonumber{\dimen0}\dimen9%
+ \pgf@xb=-\pgf@xb%
+ \advance\pgf@y by\pgf@xb\relax%
+ \else%
+ % x = a + ek/p - (f/p)sqrt(r^2 - k^2)
+ \pgf@x=\pgf@xa%
+ \advance\pgf@x by\pgf@sys@tonumber{\dimen0}\dimen8\relax%
+ %temp
+ \pgf@xb=\pgf@sys@tonumber{\dimen1}\dimen9%
+ \pgf@xb=-\pgf@xb%
+ \advance\pgf@x by\pgf@xb\relax%
+ % y = b + fk/p + (e/p)sqrt(r^2 - k^2)
+ \pgf@y=\pgf@ya%
+ \advance\pgf@y by\pgf@sys@tonumber{\dimen1}\dimen8\relax%
+ \advance\pgf@y by\pgf@sys@tonumber{\dimen0}\dimen9\relax%
+ \fi%
+ \pgf@x=\c@pgf@counta\pgf@x%
+ \pgf@y=\c@pgf@counta\pgf@y%
+ \pgf@process{}% get results outside
+ }%
+}
+\newif\ifpgf@scale@down
+
+
+% Returns point on a line from #2 to #3 at time #1.
+%
+% #1 = a time, where 0 is the start and 1 is the end
+% #2 = start point
+% #3 = end point
+%
+% x = x-component of #1*start + (1-#1)*end
+% y = y-component of #1*start + (1-#1)*end
+%
+% Example:
+%
+% % Middle of (1,1) and (2,3)
+% \pgfpathmoveto{\pgfpointlineattime{0.5}{\pgfpointxy{0}{1}}{\pgfpointxy{2}{3}}}
+
+\def\pgfpointlineattime#1#2#3{%
+ \pgf@process{#3}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{#2}%
+ \advance\pgf@xa by-\pgf@x\relax%
+ \advance\pgf@ya by-\pgf@y\relax%
+ \advance\pgf@x by #1\pgf@xa\relax%
+ \advance\pgf@y by #1\pgf@ya\relax%
+ \ignorespaces}
+
+
+% Move point #2 #1 many units in the direction of #3.
+%
+% #1 = a distance
+% #2 = start point
+% #3 = end point
+%
+% x = x-component of start + #1*(normalise(end-start))
+% y = y-component of start + #1*(normalise(end-start))
+% xa = #1*(normalise(end-start))
+% ya = #1*(normalise(end-start))
+%
+% Example:
+%
+%
+% \pgfpathmoveto{\pgfpointlineatdistance{2pt}{\pgfpointxy{0}{1}}{\pgfpointxy{2}{3}}}
+% \pgfpathlineto{\pgfpointlineatdistance{3pt}{\pgfpointxy{2}{3}}{\pgfpointxy{0}{1}}}
+
+\def\pgfpointlineatdistance#1#2#3{%
+ \pgf@process{#2}%
+ \pgf@xb=\pgf@x\relax% xb/yb = start point
+ \pgf@yb=\pgf@y\relax%
+ \pgf@process{#3}%
+ \advance\pgf@x by-\pgf@xb\relax%
+ \advance\pgf@y by-\pgf@yb\relax%
+ \pgf@process{\pgfpointnormalised{}}% x/y = normalised vector
+ \pgfmathsetlength\pgf@xa{#1}%
+ \pgf@ya=\pgf@xa\relax%
+ \pgf@xa=\pgf@sys@tonumber{\pgf@x}\pgf@xa%
+ \pgf@ya=\pgf@sys@tonumber{\pgf@y}\pgf@ya%
+ \pgf@x=\pgf@xb\relax%
+ \pgf@y=\pgf@yb\relax%
+ \advance\pgf@x by\pgf@xa\relax%
+ \advance\pgf@y by\pgf@ya\relax%
+ \ignorespaces}
+
+
+% Returns point on a curve from #2 to #5 with controls #3 and #4 at time #1.
+%
+% #1 = a time
+% #2 = start point
+% #3 = first control point
+% #4 = second control point
+% #5 = end point
+%
+% x = x-component of place on the curve at time t
+% y = y-component of place on the curve at time t
+%
+% Additionally, (\pgf@xa,\pgf@ya) and (\pgf@xb,\pgf@yb) will be on a
+% tangent to the point on the curve (this can be useful for computing
+% a label rotation).
+%
+% Example:
+%
+% % Middle of (1,1) and (2,3)
+% \pgfpathmoveto{\pgfpointcurveattime{0.5}{\pgfpointxy{0}{1}}{\pgfpointxy{1}{1}}{\pgfpointxy{1}{1}}{\pgfpointxy{2}{3}}}
+
+\def\pgfpointcurveattime#1#2#3#4#5{%
+ \pgfmathparse{#1}%
+ \let\pgf@time@s=\pgfmathresult%
+ \pgf@x=\pgfmathresult pt%
+ \pgf@x=-\pgf@x%
+ \advance\pgf@x by 1pt%
+ \edef\pgf@time@t{\pgf@sys@tonumber{\pgf@x}}%
+ \pgf@process{#5}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \pgf@process{#4}%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \pgf@process{#3}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{#2}%
+ % First iteration:
+ \pgf@x=\pgf@time@t\pgf@x\advance\pgf@x by\pgf@time@s\pgf@xa%
+ \pgf@y=\pgf@time@t\pgf@y\advance\pgf@y by\pgf@time@s\pgf@ya%
+ \pgf@xa=\pgf@time@t\pgf@xa\advance\pgf@xa by\pgf@time@s\pgf@xb%
+ \pgf@ya=\pgf@time@t\pgf@ya\advance\pgf@ya by\pgf@time@s\pgf@yb%
+ \pgf@xb=\pgf@time@t\pgf@xb\advance\pgf@xb by\pgf@time@s\pgf@xc%
+ \pgf@yb=\pgf@time@t\pgf@yb\advance\pgf@yb by\pgf@time@s\pgf@yc%
+ % Second iteration:
+ \pgf@x=\pgf@time@t\pgf@x\advance\pgf@x by\pgf@time@s\pgf@xa%
+ \pgf@y=\pgf@time@t\pgf@y\advance\pgf@y by\pgf@time@s\pgf@ya%
+ \pgf@xa=\pgf@time@t\pgf@xa\advance\pgf@xa by\pgf@time@s\pgf@xb%
+ \pgf@ya=\pgf@time@t\pgf@ya\advance\pgf@ya by\pgf@time@s\pgf@yb%
+ % Save x/y
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ % Third iteration:
+ \pgf@x=\pgf@time@t\pgf@x\advance\pgf@x by\pgf@time@s\pgf@xa%
+ \pgf@y=\pgf@time@t\pgf@y\advance\pgf@y by\pgf@time@s\pgf@ya%
+}
+
+
+
+
+
+
+% Internal registers
+\newdimen\pgf@xx
+\newdimen\pgf@xy
+\newdimen\pgf@yx
+\newdimen\pgf@yy
+\newdimen\pgf@zx
+\newdimen\pgf@zy
+
+
+
+% A polar coordinate
+%
+% #1 = a degree
+% #2 = a radius -- either a dimension or two dimensions separated by
+% " and ".
+%
+% x = (first dimension in #2) * cos(#1)
+% y = (second dimension in #2) * sin(#2)
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpointpolar{30}{1cm}}
+% \pgfpathlineto{\pgfpointpolar{30}{1cm and 2cm}}
+
+\def\pgfpointpolar#1#2{%
+ \pgfutil@in@{and }{#2}%
+ \ifpgfutil@in@%
+ \pgf@polar@#2\@@%
+ \else%
+ \pgf@polar@#2 and #2\@@%
+ \fi%
+ \pgfmathparse{#1}%
+ \let\pgfpoint@angle=\pgfmathresult%
+ \pgfmathcos@{\pgfpoint@angle}%
+ \pgf@x=\pgfmathresult\pgf@x%
+ \pgfmathsin@{\pgfpoint@angle}%
+ \pgf@y=\pgfmathresult\pgf@y%
+}
+
+\def\pgf@polar@#1and #2\@@{%
+ \pgfmathsetlength{\pgf@y}{#2}%
+ \pgfmathsetlength{\pgf@x}{#1}%
+}
+
+% Quick version of the polar coordinate method
+
+\def\pgfqpointpolar#1#2{%
+ \pgf@x=#2%
+ \pgf@y=\pgf@x%
+ \pgfmathcos@{#1}%
+ \pgf@x=\pgfmathresult\pgf@x%
+ \pgfmathsin@{#1}%
+ \pgf@y=\pgfmathresult\pgf@y\relax%
+}
+
+
+
+
+% A polar coordinate in the xy plane.
+%
+% #1 = a degree
+% #2 = a radius given as a number or two radi
+%
+% result = (first dim in #2) * x-vector * cos(#1) +
+% (second dim in #2) * y-vector * sin(#1)
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpointpolarxy{30}{2}}
+
+\def\pgfpointpolarxy#1#2{%
+ \pgfutil@in@{and }{#2}%
+ \ifpgfutil@in@%
+ \pgf@polarxy@#2\@@%
+ \else%
+ \pgf@polarxy@#2and #2\@@%
+ \fi%
+ \pgfmathparse{#1}%
+ \let\pgfpoint@angle=\pgfmathresult%
+ \pgfmathcos@{\pgfpoint@angle}%
+ \pgf@xa=\pgfmathresult\pgf@xa%
+ \pgfmathsin@{\pgfpoint@angle}%
+ \pgf@ya=\pgfmathresult\pgf@ya%
+ \pgf@x=\pgf@sys@tonumber{\pgf@xa}\pgf@xx%
+ \advance\pgf@x by \pgf@sys@tonumber{\pgf@ya}\pgf@yx%
+ \pgf@y=\pgf@sys@tonumber{\pgf@xa}\pgf@xy%
+ \advance\pgf@y by \pgf@sys@tonumber{\pgf@ya}\pgf@yy}
+
+\def\pgf@polarxy@#1and #2\@@{%
+ \pgfmathsetlength{\pgf@xa}{#1}%
+ \pgfmathsetlength{\pgf@ya}{#2}%
+}
+
+
+
+% A cylindrical coordinate.
+%
+% #1 = a degree
+% #2 = a radius given as a number
+% #3 = a height given as a number
+%
+% result = #2*(x-vector * cos(#1) + y-vector * sin(#1)) + #3*z-vector
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpointcylindrical{30}{2}{1}}
+
+\def\pgfpointcylindrical#1#2#3{%
+ \pgfpointpolarxy{#1}{#2}%
+ \pgfmathparse{#3}%
+ \advance\pgf@x by \pgfmathresult\pgf@zx%
+ \advance\pgf@y by \pgfmathresult\pgf@zy}
+
+
+% A spherical coordinate.
+%
+% #1 = a longitude
+% #2 = a latitude
+% #3 = a radius
+%
+% result = #3*(cos(#2)*(x-vector * cos(#1) + y-vector * sin(#1)) + sin(#2)*z-vector)
+%
+% Example:
+%
+% \pgfpathmoveto{\pgfpointspherical{30}{30}{2}}
+
+\def\pgfpointspherical#1#2#3{%
+ \pgfmathparse{#1}%
+ \let\pgfpoint@angle=\pgfmathresult%
+ \pgfmathsin@{\pgfpoint@angle}%
+ \pgf@xb=\pgfmathresult\pgf@xx%
+ \pgf@yb=\pgfmathresult\pgf@xy%
+ \pgfmathcos@{\pgfpoint@angle}%
+ \advance\pgf@xb by \pgfmathresult\pgf@yx%
+ \advance\pgf@yb by \pgfmathresult\pgf@yy%
+ %
+ \pgfmathparse{#2}%
+ \let\pgfpoint@angle=\pgfmathresult%
+ \pgfmathcos@{\pgfpoint@angle}%
+ \pgf@xc=\pgfmathresult\pgf@xb%
+ \pgf@yc=\pgfmathresult\pgf@yb%
+ \pgfmathsin@{\pgfpoint@angle}%
+ \advance\pgf@xc by \pgfmathresult\pgf@zx%
+ \advance\pgf@yc by \pgfmathresult\pgf@zy%
+ \pgfmathparse{#3}%
+ \pgf@x=\pgfmathresult\pgf@xc%
+ \pgf@y=\pgfmathresult\pgf@yc\relax%
+}
+
+
+% Store the vector #1 * x-vec + #2 * y-vec
+%
+% #1 = a factor for the x-vector
+% #2 = a factor fot the y-vector
+%
+% x = x-component of result vector
+% y = y-component of result vector
+%
+% Description:
+%
+% This command can be used to create a new coordinate system
+% without using the rotate/translate/scale commands. This
+% may be useful, if you do not want arrows and line width to
+% be scaled/transformed together with the coordinate system.
+%
+% Example:
+%
+% % Create a slanted rectangle
+%
+% \pgfsetxvec{\pgfpoint{1cm}{1cm}}
+% \pgfsetyvec{\pgfpoint{0cm}{1cm}}
+%
+% \pgfpathmoveto{\pgfpointxy{0}{0}}
+% \pgfpathlineto{\pgfpointxy{1}{0}}
+% \pgfpathlineto{\pgfpointxy{1}{1}}
+% \pgfpathlineto{\pgfpointxy{0}{1}}
+% \pgfclosestroke
+
+\def\pgfpointxy#1#2{%
+ \pgfmathparse{#1}%
+ \let\pgftemp@x=\pgfmathresult%
+ \pgfmathparse{#2}%
+ \let\pgftemp@y=\pgfmathresult%
+ \pgf@x=\pgftemp@x\pgf@xx%
+ \advance\pgf@x by \pgftemp@y\pgf@yx%
+ \pgf@y=\pgftemp@x\pgf@xy%
+ \advance\pgf@y by \pgftemp@y\pgf@yy}
+
+
+% Store the vector #1 * x-vec + #2 * y-vec + #3 * z-vec
+%
+% #1 = a factor for the x-vector
+% #2 = a factor fot the y-vector
+% #3 = a factor fot the z-vector
+%
+% x = x-component of result vector
+% y = y-component of result vector
+%
+%
+% Description:
+%
+% This command allows you to use a 3d coordinate system.
+%
+%
+% Example:
+%
+% % Draw a cubus
+%
+% \pgfline{\pgfpointxyz{0}{0}{0}}{\pgfpointxyz{0}{0}{1}}
+% \pgfline{\pgfpointxyz{0}{1}{0}}{\pgfpointxyz{0}{1}{1}}
+% \pgfline{\pgfpointxyz{1}{0}{0}}{\pgfpointxyz{1}{0}{1}}
+% \pgfline{\pgfpointxyz{1}{1}{0}}{\pgfpointxyz{1}{1}{1}}
+% \pgfline{\pgfpointxyz{0}{0}{0}}{\pgfpointxyz{0}{1}{0}}
+% \pgfline{\pgfpointxyz{0}{0}{1}}{\pgfpointxyz{0}{1}{1}}
+% \pgfline{\pgfpointxyz{1}{0}{0}}{\pgfpointxyz{1}{1}{0}}
+% \pgfline{\pgfpointxyz{1}{0}{1}}{\pgfpointxyz{1}{1}{1}}
+% \pgfline{\pgfpointxyz{0}{0}{0}}{\pgfpointxyz{1}{0}{0}}
+% \pgfline{\pgfpointxyz{0}{0}{1}}{\pgfpointxyz{1}{0}{1}}
+% \pgfline{\pgfpointxyz{0}{1}{0}}{\pgfpointxyz{1}{1}{0}}
+% \pgfline{\pgfpointxyz{0}{1}{1}}{\pgfpointxyz{1}{1}{1}}
+
+\def\pgfpointxyz#1#2#3{%
+ \pgfmathparse{#1}%
+ \let\pgftemp@x=\pgfmathresult%
+ \pgfmathparse{#2}%
+ \let\pgftemp@y=\pgfmathresult%
+ \pgfmathparse{#3}%
+ \let\pgftemp@z=\pgfmathresult%
+ \pgf@x=\pgftemp@x\pgf@xx%
+ \advance\pgf@x by \pgftemp@y\pgf@yx%
+ \advance\pgf@x by \pgftemp@z\pgf@zx%
+ \pgf@y=\pgftemp@x\pgf@xy%
+ \advance\pgf@y by \pgftemp@y\pgf@yy%
+ \advance\pgf@y by \pgftemp@z\pgf@zy}
+
+
+
+
+% Set the x-vector
+%
+% #1 = a point the is the new x-vector
+%
+% Example:
+%
+% \pgfsetxvec{\pgfpoint{1cm}{0cm}}
+
+\def\pgfsetxvec#1{%
+ \pgf@process{#1}%
+ \pgf@xx=\pgf@x%
+ \pgf@xy=\pgf@y%
+ \ignorespaces}
+
+
+% Set the y-vector
+%
+% #1 = a point the is the new y-vector
+%
+% Example:
+%
+% \pgfsetyvec{\pgfpoint{0cm}{1cm}}
+
+\def\pgfsetyvec#1{%
+ \pgf@process{#1}%
+ \pgf@yx=\pgf@x%
+ \pgf@yy=\pgf@y%
+ \ignorespaces}
+
+
+% Set the z-vector
+%
+% #1 = a point the is the new z-vector
+%
+% Example:
+%
+% \pgfsetzvec{\pgfpoint{-0.385cm}{-0.385cm}}
+
+\def\pgfsetzvec#1{%
+ \pgf@process{#1}%
+ \pgf@zx=\pgf@x%
+ \pgf@zy=\pgf@y%
+ \ignorespaces}
+
+
+
+% Default values
+\pgfsetxvec{\pgfpoint{1cm}{0cm}}
+\pgfsetyvec{\pgfpoint{0cm}{1cm}}
+\pgfsetzvec{\pgfpoint{-0.385cm}{-0.385cm}}
+
+
+
+
+% Normalise a point.
+%
+% #1 = point with coordinates (a,b)
+%
+% x = a/\sqrt(a*a+b*b)
+% y = b/\sqrt(a*a+b*b)
+%
+% Example:
+%
+% \pgfpointnormalised{\pgfpointxy{2}{1}}
+
+\def\pgfpointnormalised#1{%
+ \pgf@process{#1}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \ifdim\pgf@x<0pt\relax% move into first quadrant
+ \pgf@x=-\pgf@x%
+ \fi%
+ \ifdim\pgf@y<0pt\relax%
+ \pgf@y=-\pgf@y%
+ \fi%
+ \ifdim\pgf@x>\pgf@y% x > y
+ % make point small
+ \c@pgf@counta=\pgf@x%
+ \divide\c@pgf@counta by 65536\relax%
+ \ifnum\c@pgf@counta=0\relax%
+ \c@pgf@counta=1\relax%
+ \fi%
+ \divide\pgf@x by\c@pgf@counta%
+ \divide\pgf@y by\c@pgf@counta%
+ \divide\pgf@xa by\c@pgf@counta%
+ \divide\pgf@ya by\c@pgf@counta%
+ % ok.
+ \pgf@x=.125\pgf@x%
+ \pgf@y=.125\pgf@y%
+ \c@pgf@counta=\pgf@x%
+ \c@pgf@countb=\pgf@y%
+ \multiply\c@pgf@countb by 100%
+ \ifnum\c@pgf@counta<64\relax%
+ \pgf@x=1pt\relax%
+ \pgf@y=0pt\relax%
+ \else%
+ \divide\c@pgf@countb by \c@pgf@counta%
+ \pgf@x=\csname pgf@cosfrac\the\c@pgf@countb\endcsname pt%
+ \pgf@xc=8192pt%
+ \divide\pgf@xc by\c@pgf@counta%
+ \pgf@y=\pgf@sys@tonumber{\pgf@xc}\pgf@ya%
+ \pgf@y=\pgf@sys@tonumber{\pgf@x}\pgf@y%
+ \fi%
+ \ifdim\pgf@xa<0pt%
+ \pgf@x=-\pgf@x%
+ \fi%
+ \else% x <= y
+ % make point small
+ \c@pgf@counta=\pgf@y%
+ \divide\c@pgf@counta by 65536\relax%
+ \ifnum\c@pgf@counta=0\relax%
+ \c@pgf@counta=1\relax%
+ \fi%
+ \divide\pgf@x by\c@pgf@counta%
+ \divide\pgf@y by\c@pgf@counta%
+ \divide\pgf@xa by\c@pgf@counta%
+ \divide\pgf@ya by\c@pgf@counta%
+ % ok.
+ \pgf@x=.125\pgf@x%
+ \pgf@y=.125\pgf@y%
+ \c@pgf@counta=\pgf@y%
+ \c@pgf@countb=\pgf@x%
+ \multiply\c@pgf@countb by 100%
+ \ifnum\c@pgf@counta<64\relax%
+ \pgf@y=1pt\relax%
+ \pgf@x=0pt\relax%
+ \else%
+ \divide\c@pgf@countb by \c@pgf@counta%
+ \pgf@y=\csname pgf@cosfrac\the\c@pgf@countb\endcsname pt%
+ \pgf@xc=8192pt%
+ \divide\pgf@xc by\c@pgf@counta%
+ \pgf@x=\pgf@sys@tonumber{\pgf@xc}\pgf@xa%
+ \pgf@x=\pgf@sys@tonumber{\pgf@y}\pgf@x%
+ \fi%
+ \ifdim\pgf@ya<0pt%
+ \pgf@y=-\pgf@y%
+ \fi%
+ \fi\ignorespaces%
+}
+
+
+
+
+
+% A point on a rectangle in a certain direction.
+%
+% #1 = a point pointing in some direction (length should be about 1pt,
+% but need not be exact)
+% #2 = upper right corner of a rectangle centered at the origin
+%
+% Returns the intersection of a line starting at the origin going in
+% the given direction and the rectangle's border.
+%
+% Example:
+%
+% \pgfpointborderrectangle{\pgfpointnormalised{\pgfpointxy{2}{1}}
+% {\pgfpoint{1cm}{2cm}}
+
+\def\pgfpointborderrectangle#1#2{%
+ \pgf@process{#2}%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \pgf@process{#1}%
+ % Ok, let's find out about the direction:
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \ifnum\pgf@xa<0\relax% move into first quadrant
+ \pgf@x=-\pgf@x%
+ \fi%
+ \ifnum\pgf@ya<0\relax%
+ \pgf@y=-\pgf@y%
+ \fi%
+ \pgf@xc=.125\pgf@x%
+ \pgf@yc=.125\pgf@y%
+ \c@pgf@counta=\pgf@xc%
+ \c@pgf@countb=\pgf@yc%
+ \ifnum\c@pgf@countb<\c@pgf@counta%
+ \ifnum\c@pgf@counta<255\relax%
+ \pgf@y=\pgf@yb\relax%
+ \pgf@x=0pt\relax%
+ \else%
+ \pgf@xc=8192pt%
+ \divide\pgf@xc by\c@pgf@counta% \pgf@xc = 1/\pgf@x
+ \pgf@y=\pgf@sys@tonumber{\pgf@xc}\pgf@y%
+ \pgf@y=\pgf@sys@tonumber{\pgf@xb}\pgf@y%
+ \ifnum\pgf@y<\pgf@yb%
+ \pgf@x=\pgf@xb%
+ \else% rats, calculate intersection on upper side
+ \ifnum\c@pgf@countb<255\relax%
+ \pgf@x=\pgf@xb\relax%
+ \pgf@y=0pt\relax%
+ \else%
+ \pgf@yc=8192pt%
+ \divide\pgf@yc by\c@pgf@countb% \pgf@xc = 1/\pgf@x
+ \pgf@x=\pgf@sys@tonumber{\pgf@yc}\pgf@x%
+ \pgf@x=\pgf@sys@tonumber{\pgf@yb}\pgf@x%
+ \pgf@y=\pgf@yb%
+ \fi%
+ \fi%
+ \fi%
+ \else%
+ \ifnum\c@pgf@countb<255\relax%
+ \pgf@x=\pgf@xb\relax%
+ \pgf@y=0pt\relax%
+ \else%
+ \pgf@yc=8192pt%
+ \divide\pgf@yc by\c@pgf@countb% \pgf@xc = 1/\pgf@x
+ \pgf@x=\pgf@sys@tonumber{\pgf@yc}\pgf@x%
+ \pgf@x=\pgf@sys@tonumber{\pgf@yb}\pgf@x%
+ \ifnum\pgf@x<\pgf@xb%
+ \pgf@y=\pgf@yb%
+ \else%
+ \ifnum\c@pgf@counta<255\relax%
+ \pgf@y=\pgf@yb\relax%
+ \pgf@x=0pt\relax%
+ \else%
+ \pgf@xc=8192pt%
+ \divide\pgf@xc by\c@pgf@counta% \pgf@xc = 1/\pgf@x
+ \pgf@y=\pgf@sys@tonumber{\pgf@xc}\pgf@y%
+ \pgf@y=\pgf@sys@tonumber{\pgf@xb}\pgf@y%
+ \pgf@x=\pgf@xb%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \ifnum\pgf@xa<0\relax\pgf@x=-\pgf@x\fi%
+ \ifnum\pgf@ya<0\relax\pgf@y=-\pgf@y\fi%
+}
+
+
+
+
+% An approximation to a point on an ellipse in a certain
+% direction. Will be exact only if the ellipse is a circle.
+%
+% #1 = a point pointing in some direction
+% #2 = upper right corner of a bounding box for the ellipse
+%
+% Returns the intersection of a line starting at the origin going in
+% the given direction and the ellipses border.
+%
+% Example:
+%
+% \pgfpointborderellipse{\pgfpointnormalised{\pgfpointxy{2}{1}}
+% {\pgfpoint{1cm}{2cm}}
+
+\def\pgfpointborderellipse#1#2{%
+ \pgf@process{#2}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \ifdim\pgf@xa=\pgf@ya% circle. that's easy!
+ \pgf@process{\pgfpointnormalised{#1}}%
+ \pgf@x=\pgf@sys@tonumber{\pgf@xa}\pgf@x%
+ \pgf@y=\pgf@sys@tonumber{\pgf@xa}\pgf@y%
+ \else%
+ \ifdim\pgf@xa<\pgf@ya%
+ % Ok, first, let's compute x/y:
+ \c@pgf@countb=\pgf@ya%
+ \divide\c@pgf@countb by65536\relax%
+ \divide\pgf@x by\c@pgf@countb%
+ \divide\pgf@y by\c@pgf@countb%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=8192pt%
+ \pgf@y=.125\pgf@y%
+ \c@pgf@countb=\pgf@y%
+ \divide\pgf@yc by\c@pgf@countb%
+ \pgf@process{#1}%
+ \pgf@y=\pgf@sys@tonumber{\pgf@yc}\pgf@y%
+ \pgf@y=\pgf@sys@tonumber{\pgf@xc}\pgf@y%
+ \pgf@process{\pgfpointnormalised{}}%
+ \pgf@x=\pgf@sys@tonumber{\pgf@xa}\pgf@x%
+ \pgf@y=\pgf@sys@tonumber{\pgf@ya}\pgf@y%
+ \else%
+ % Ok, now let's compute y/x:
+ \c@pgf@countb=\pgf@xa%
+ \divide\c@pgf@countb by65536\relax%
+ \divide\pgf@x by\c@pgf@countb%
+ \divide\pgf@y by\c@pgf@countb%
+ \pgf@yc=\pgf@y%
+ \pgf@xc=8192pt%
+ \pgf@x=.125\pgf@x%
+ \c@pgf@countb=\pgf@x%
+ \divide\pgf@xc by\c@pgf@countb%
+ \pgf@process{#1}%
+ \pgf@x=\pgf@sys@tonumber{\pgf@yc}\pgf@x%
+ \pgf@x=\pgf@sys@tonumber{\pgf@xc}\pgf@x%
+ \pgf@process{\pgfpointnormalised{}}%
+ \pgf@x=\pgf@sys@tonumber{\pgf@xa}\pgf@x%
+ \pgf@y=\pgf@sys@tonumber{\pgf@ya}\pgf@y%
+ \fi%
+ \fi%
+}
+
+
+
+
+
+% Extract the x-coordinate of a point to a dimensions
+%
+% #1 = a TeX dimension
+% #2 = a point
+%
+% Example:
+%
+% \newdimen\mydim
+% \pgfextractx{\mydim}{\pgfpoint{2cm}{4pt}}
+% % \mydim is now 2cm
+
+\def\pgfextractx#1#2{%
+ \pgf@process{#2}%
+ #1=\pgf@x\relax}
+
+
+% Extract the y-coordinate of a point to a dimensions
+%
+% #1 = a TeX dimension
+% #2 = a point
+%
+% Example:
+%
+% \newdimen\mydim
+% \pgfextracty{\mydim}{\pgfpoint{2cm}{4pt}}
+% % \mydim is now 4pt
+
+\def\pgfextracty#1#2{%
+ \pgf@process{#2}%
+ #1=\pgf@y\relax}
+
+
+
+\def\pgf@def#1#2#3{\expandafter\def\csname pgf@#1#2\endcsname{#3}}
+\pgf@def{cosfrac}{0}{1}
+\pgf@def{cosfrac}{1}{0.99995} \pgf@def{cosfrac}{2}{0.9998}
+\pgf@def{cosfrac}{3}{0.99955} \pgf@def{cosfrac}{4}{0.999201}
+\pgf@def{cosfrac}{5}{0.998752} \pgf@def{cosfrac}{6}{0.998205}
+\pgf@def{cosfrac}{7}{0.997559} \pgf@def{cosfrac}{8}{0.996815}
+\pgf@def{cosfrac}{9}{0.995974} \pgf@def{cosfrac}{10}{0.995037}
+\pgf@def{cosfrac}{11}{0.994004} \pgf@def{cosfrac}{12}{0.992877}
+\pgf@def{cosfrac}{13}{0.991656} \pgf@def{cosfrac}{14}{0.990342}
+\pgf@def{cosfrac}{15}{0.988936} \pgf@def{cosfrac}{16}{0.987441}
+\pgf@def{cosfrac}{17}{0.985856} \pgf@def{cosfrac}{18}{0.984183}
+\pgf@def{cosfrac}{19}{0.982424} \pgf@def{cosfrac}{20}{0.980581}
+\pgf@def{cosfrac}{21}{0.978653} \pgf@def{cosfrac}{22}{0.976644}
+\pgf@def{cosfrac}{23}{0.974555} \pgf@def{cosfrac}{24}{0.972387}
+\pgf@def{cosfrac}{25}{0.970143} \pgf@def{cosfrac}{26}{0.967823}
+\pgf@def{cosfrac}{27}{0.965429} \pgf@def{cosfrac}{28}{0.962964}
+\pgf@def{cosfrac}{29}{0.960429} \pgf@def{cosfrac}{30}{0.957826}
+\pgf@def{cosfrac}{31}{0.955157} \pgf@def{cosfrac}{32}{0.952424}
+\pgf@def{cosfrac}{33}{0.949629} \pgf@def{cosfrac}{34}{0.946773}
+\pgf@def{cosfrac}{35}{0.943858} \pgf@def{cosfrac}{36}{0.940887}
+\pgf@def{cosfrac}{37}{0.937862} \pgf@def{cosfrac}{38}{0.934784}
+\pgf@def{cosfrac}{39}{0.931655} \pgf@def{cosfrac}{40}{0.928477}
+\pgf@def{cosfrac}{41}{0.925252} \pgf@def{cosfrac}{42}{0.921982}
+\pgf@def{cosfrac}{43}{0.918669} \pgf@def{cosfrac}{44}{0.915315}
+\pgf@def{cosfrac}{45}{0.911922} \pgf@def{cosfrac}{46}{0.90849}
+\pgf@def{cosfrac}{47}{0.905024} \pgf@def{cosfrac}{48}{0.901523}
+\pgf@def{cosfrac}{49}{0.89799} \pgf@def{cosfrac}{50}{0.894427}
+\pgf@def{cosfrac}{51}{0.890835} \pgf@def{cosfrac}{52}{0.887217}
+\pgf@def{cosfrac}{53}{0.883573} \pgf@def{cosfrac}{54}{0.879905}
+\pgf@def{cosfrac}{55}{0.876216} \pgf@def{cosfrac}{56}{0.872506}
+\pgf@def{cosfrac}{57}{0.868777} \pgf@def{cosfrac}{58}{0.865031}
+\pgf@def{cosfrac}{59}{0.861269} \pgf@def{cosfrac}{60}{0.857493}
+\pgf@def{cosfrac}{61}{0.853704} \pgf@def{cosfrac}{62}{0.849903}
+\pgf@def{cosfrac}{63}{0.846092} \pgf@def{cosfrac}{64}{0.842271}
+\pgf@def{cosfrac}{65}{0.838444} \pgf@def{cosfrac}{66}{0.834609}
+\pgf@def{cosfrac}{67}{0.83077} \pgf@def{cosfrac}{68}{0.826927}
+\pgf@def{cosfrac}{69}{0.82308} \pgf@def{cosfrac}{70}{0.819232}
+\pgf@def{cosfrac}{71}{0.815383} \pgf@def{cosfrac}{72}{0.811534}
+\pgf@def{cosfrac}{73}{0.807687} \pgf@def{cosfrac}{74}{0.803842}
+\pgf@def{cosfrac}{75}{0.8} \pgf@def{cosfrac}{76}{0.796162}
+\pgf@def{cosfrac}{77}{0.792329} \pgf@def{cosfrac}{78}{0.788502}
+\pgf@def{cosfrac}{79}{0.784682} \pgf@def{cosfrac}{80}{0.780869}
+\pgf@def{cosfrac}{81}{0.777064} \pgf@def{cosfrac}{82}{0.773268}
+\pgf@def{cosfrac}{83}{0.769481} \pgf@def{cosfrac}{84}{0.765705}
+\pgf@def{cosfrac}{85}{0.761939} \pgf@def{cosfrac}{86}{0.758185}
+\pgf@def{cosfrac}{87}{0.754443} \pgf@def{cosfrac}{88}{0.750714}
+\pgf@def{cosfrac}{89}{0.746997} \pgf@def{cosfrac}{90}{0.743294}
+\pgf@def{cosfrac}{91}{0.739605} \pgf@def{cosfrac}{92}{0.735931}
+\pgf@def{cosfrac}{93}{0.732272} \pgf@def{cosfrac}{94}{0.728628}
+\pgf@def{cosfrac}{95}{0.724999} \pgf@def{cosfrac}{96}{0.721387}
+\pgf@def{cosfrac}{97}{0.717792} \pgf@def{cosfrac}{98}{0.714213}
+\pgf@def{cosfrac}{99}{0.710651} \pgf@def{cosfrac}{100}{0.707107}
+
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
new file mode 100644
index 00000000000..84a432ceadb
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex
@@ -0,0 +1,134 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorequick.code.tex,v 1.2 2006/10/11 15:22:25 tantau Exp $
+
+% Quick version of basic drawing commands. Most high-level commands
+% are not available if these commands are used.
+
+% Move current point to (#1,#2).
+%
+% #1 = x dimension of new current point
+% #2 = y dimension of new current point
+%
+% Example:
+%
+% \pgfpathqmoveto{0pt}{0pt}
+% \pgfpathqlineto{1pt}{1pt}
+% \pgfpathqcurveto{2pt}{1pt}{2pt}{2pt}{3pt}{2pt}
+% \pgfqstroke
+
+\def\pgfpathqmoveto#1#2{\pgfsyssoftpath@moveto{#1}{#2}}
+
+
+% Append a line to (#1,#2) to the current path.
+%
+% #1 = x dimension of target
+% #2 = y dimension of target
+%
+% Example:
+%
+% \pgfpathqmoveto{0pt}{0pt}
+% \pgfpathqlineto{1pt}{1pt}
+% \pgfpathqcurveto{2pt}{1pt}{2pt}{2pt}{3pt}{2pt}
+% \pgfqstroke
+
+\def\pgfpathqlineto#1#2{\pgfsyssoftpath@lineto{#1}{#2}}
+
+
+% Append a bezier spline to the current path.
+%
+% #1 = x dimension of first support point
+% #2 = y dimension of first support point
+% #3 = x dimension of second support point
+% #4 = y dimension of second support point
+% #5 = x dimension of target point
+% #6 = y dimension of target point
+%
+% Example:
+%
+% \pgfpathqmoveto{0pt}{0pt}
+% \pgfpathqlineto{1pt}{1pt}
+% \pgfpathqcurveto{2pt}{1pt}{2pt}{2pt}{3pt}{2pt}
+% \pgfqstroke
+
+\def\pgfpathqcurveto#1#2#3#4#5#6{\pgfsyssoftpath@curveto{#1}{#2}{#3}{#4}{#5}{#6}}
+
+
+
+
+% Append a circle of the given radius around the origin.
+%
+% #1 = radius
+%
+% Example:
+%
+% \pgfpathqcircle{10pt}
+% is quicker than
+% \pgfpathcircle{\pgforigin}{10pt}
+
+\def\pgfpathqcircle#1{%
+ {%
+ \pgf@x=#1%
+ \pgf@y=0.555\pgf@x%
+ \pgfsyssoftpath@moveto{\the\pgf@x}{0pt}%
+ \pgfsyssoftpath@curveto{\the\pgf@x}{\the\pgf@y}{\the\pgf@y}{\the\pgf@x}{0pt}{\the\pgf@x}%
+ \pgfsyssoftpath@curveto{-\the\pgf@y}{\the\pgf@x}{-\the\pgf@x}{\the\pgf@y}{-\the\pgf@x}{0pt}%
+ \pgfsyssoftpath@curveto{-\the\pgf@x}{-\the\pgf@y}{-\the\pgf@y}{-\the\pgf@x}{0pt}{-\the\pgf@x}%
+ \pgfsyssoftpath@curveto{\the\pgf@y}{-\the\pgf@x}{\the\pgf@x}{-\the\pgf@y}{\the\pgf@x}{0pt}%
+ \pgfsyssoftpath@closepath%
+ }%
+}
+
+
+
+% Stroke current path. No hooks called.
+%
+% Example:
+%
+% \pgfpathqmoveto{0cm}{0cm}
+% \pgfpathqlineto{1cm}{1cm}
+% \pgfpathqcurveto{2cm}{1cm}{2cm}{2cm}{3cm}{2cm}
+% \pgfqstroke
+
+\def\pgfusepathqstroke{%
+ \pgfsyssoftpath@flushcurrentpath%
+ \pgfsys@stroke%
+ \pgf@resetpathsizes%
+}
+
+
+% Quickly fill current path.
+
+\def\pgfusepathqfill{%
+ \pgfsyssoftpath@flushcurrentpath%
+ \pgfsys@fill%
+ \pgf@resetpathsizes%
+}
+
+
+% Quickly fill and stroke current path.
+
+\def\pgfusepathqfillstroke{%
+ \pgfsyssoftpath@flushcurrentpath%
+ \pgfsys@fillstroke%
+ \pgf@resetpathsizes%
+}
+
+% Quickly clip current path.
+
+\def\pgfusepathqclip{%
+ \pgfsyssoftpath@flushcurrentpath%
+ \pgfsys@clipnext%
+ \pgfsys@discardpath%
+ \pgf@resetpathsizes%
+}
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex
new file mode 100644
index 00000000000..b637ff10ded
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex
@@ -0,0 +1,571 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcorescopes.code.tex,v 1.26 2008/01/15 10:27:34 tantau Exp $
+
+% Globals
+
+\newbox\pgfpic
+\newbox\pgf@hbox
+
+\newbox\pgf@layerbox@main
+
+\newcount\pgf@picture@serial@count
+
+
+
+% This if decides whether the position of pictures on the page is
+% protocolled or not. Normally,
+% this is switched off as it works only with certain drivers and it
+% causes external files to be written. When switched on, the position
+% of pgfpictures are protocolled and can be referenced using
+% \pgfsys@getposition{XXX} where XXX is the value of \pgfpictureid
+% inside the picture.
+\newif\ifpgfrememberpicturepositiononpage
+
+
+
+% Library files inclusion
+
+
+% Include a library file.
+%
+% #1 = List of names of library file.
+%
+% Description:
+%
+% This command includes a list of library files. For each file X in the
+% list, the file pgflibraryX.code.tex is included, provided this has
+% not been done earlier.
+%
+% For the convenience of Context users, both round and square brackets
+% are possible for the argument.
+%
+% Example:
+%
+% \usepgflibrary{arrows}
+% \usepgflibrary[patterns,snakes]
+
+\def\usepgflibrary{\pgfutil@ifnextchar[{\use@pgflibrary}{\use@@pgflibrary}}%}
+\def\use@pgflibrary[#1]{\use@@pgflibrary{#1}}
+\def\use@@pgflibrary#1{%
+ \edef\pgf@list{#1}%
+ \pgfutil@for\pgf@temp:=\pgf@list\do{%
+ \expandafter\ifx\csname pgf@library@\pgf@temp @loaded\endcsname\relax%
+ \expandafter\let\csname pgf@library@\pgf@temp @loaded\endcsname=\pgfutil@empty%
+ \expandafter\edef\csname pgf@library@#1@atcode\endcsname{\the\catcode`\@}
+ \expandafter\edef\csname pgf@library@#1@barcode\endcsname{\the\catcode`\|}
+ \catcode`\@=11
+ \catcode`\|=12
+ \input pgflibrary\pgf@temp.code.tex
+ \catcode`\@=\csname pgf@library@#1@atcode\endcsname
+ \catcode`\|=\csname pgf@library@#1@barcode\endcsname
+ \fi%
+ }%
+}
+
+
+% Include a module file.
+%
+% #1 = List of names of module files.
+%
+% Description:
+%
+% This command includes a list of module files. For each file X in the
+% list, the file pgfmoduleX.code.tex is included, provided this has
+% not been done earlier.
+%
+% For the convenience of Context users, both round and square brackets
+% are possible for the argument.
+%
+% Example:
+%
+% \usepgfmodule{matrix}
+
+\def\usepgfmodule{\pgfutil@ifnextchar[{\use@pgfmodule}{\use@@pgfmodule}}%}
+\def\use@pgfmodule[#1]{\use@@pgfmodule{#1}}
+\def\use@@pgfmodule#1{%
+ \edef\pgf@list{#1}%
+ \pgfutil@for\pgf@temp:=\pgf@list\do{%
+ \expandafter\ifx\csname pgf@module@\pgf@temp @loaded\endcsname\relax%
+ \expandafter\let\csname pgf@module@\pgf@temp @loaded\endcsname=\pgfutil@empty%
+ \expandafter\edef\csname pgf@module@#1@atcode\endcsname{\the\catcode`\@}
+ \expandafter\edef\csname pgf@module@#1@barcode\endcsname{\the\catcode`\|}
+ \catcode`\@=11
+ \catcode`\|=12
+ \input pgfmodule\pgf@temp.code.tex
+ \catcode`\@=\csname pgf@module@#1@atcode\endcsname
+ \catcode`\|=\csname pgf@module@#1@barcode\endcsname
+ \fi%
+ }%
+}
+
+
+
+% Scopes
+
+
+% Pgf scope environment. All changes of the graphic state are local to
+% the scope.
+%
+% Example:
+%
+% \begin{pgfscope}
+% \pgfsetlinewidth{3pt}
+% \pgfline{\pgfxy(0,0)}{\pgfxy(3,3)}
+% \end{pgfscope}
+
+\def\pgfscope{%
+ \pgfsyssoftpath@setcurrentpath\pgfutil@empty%
+ \pgfsys@beginscope%
+ \pgf@resetpathsizes%
+ \edef\pgfscope@linewidth{\the\pgflinewidth}%
+ \begingroup}
+\def\endpgfscope{%
+ \endgroup%
+ \global\pgflinewidth=\pgfscope@linewidth%
+ \pgfsys@endscope}
+
+
+
+
+% Quickly insert a box can contain normal TeX text at the origin.
+%
+% #1 = box of width/height and depth 0pt
+%
+% Example:
+%
+% \pgfqbox{\mybox}
+
+\def\pgfqbox#1{%
+ \pgfsys@hbox#1%
+}
+
+
+% Insert a box that can contain normal TeX text at the origin, but
+% with the current coordinate transformation matrix synced with the
+% low-level transformation matrix.
+%
+% #1 = box of width/height and depth 0pt
+%
+% In essence, this command does the same as if you first said
+% \pgflowlevelsynccm and then \pgfqbox. However, pgf will use a
+% ``TeX-translation'' for the translation part of the transformation
+% cm. This will ensure that hyperlinks ``survive'' at least
+% translations.
+%
+% Example:
+%
+% \pgfqboxsynced{\mybox}
+
+\def\pgfqboxsynced#1{%
+ \pgfsys@hboxsynced#1%
+}
+
+
+% Puts some text in a box and inserts it with the current
+% transformations applied.
+%
+% #1 = List of optional positioning. Possible values are ``left'', ``right'',
+% ``top'', ``bottom'' and ``base''.
+% #2 = TeX text. May contain verbatims.
+%
+% Example:
+%
+% \pgftransformshift{\pgfpoint{1cm}{0cm}}
+% \pgftext{Hello World!}
+
+\def\pgftext{\pgfutil@ifnextchar[\pgf@text{\pgf@text[]}}%
+\def\pgf@text[#1]{%
+ \def\pgf@text@options{#1}%
+ \pgf@maketext\pgf@after@text}
+\def\pgf@after@text{%
+ {%
+ \def\pgf@text@hshift{center}%
+ \def\pgf@text@vshift{center}%
+ \expandafter\pgf@text@setkeys\expandafter{\pgf@text@options}%
+ \csname pgf@halign\pgf@text@hshift\endcsname%
+ \csname pgf@valign\pgf@text@vshift\endcsname%
+ % Protocol sizes:
+ \pgf@process{\pgfpointtransformed{\pgfqpoint{0pt}{\dp\pgf@hbox}}}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@process{\pgfpointtransformed{\pgfqpoint{\wd\pgf@hbox}{\dp\pgf@hbox}}}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@process{\pgfpointtransformed{\pgfqpoint{0pt}{\ht\pgf@hbox}}}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgf@process{\pgfpointtransformed{\pgfqpoint{\wd\pgf@hbox}{\ht\pgf@hbox}}}%
+ \pgf@protocolsizes{\pgf@x}{\pgf@y}%
+ \pgfqboxsynced{\pgf@hbox}%
+ }%
+}
+\def\pgf@text@setkeys{\pgfqkeys{/pgf/text}}%
+
+\pgfkeys{/pgf/text/left/.code=\def\pgf@text@hshift{left}}
+\pgfkeys{/pgf/text/center/.code=}
+\pgfkeys{/pgf/text/right/.code=\def\pgf@text@hshift{right}}
+\pgfkeys{/pgf/text/top/.code=\def\pgf@text@vshift{top}}
+\pgfkeys{/pgf/text/bottom/.code=\def\pgf@text@vshift{bottom}}
+\pgfkeys{/pgf/text/base/.code=\def\pgf@text@vshift{base}}
+\pgfkeys{/pgf/text/at/.cd,.code=\pgftransformshift{#1},.value required}
+\pgfkeys{/pgf/text/x/.cd,.code=\pgftransformxshift{#1},.value required}
+\pgfkeys{/pgf/text/y/.cd,.code=\pgftransformyshift{#1},.value required}
+\pgfkeys{/pgf/text/rotate/.cd,.code=\pgftransformrotate{#1},.value required}
+
+\def\pgf@halignleft{}% do nothing
+\def\pgf@haligncenter{\pgftransformxshift{+-.5\wd\pgf@hbox}}
+\def\pgf@halignright{\pgftransformxshift{+-\wd\pgf@hbox}}%
+\def\pgf@valignbase{}% do nothing
+\def\pgf@valignbottom{\pgftransformyshift{+\dp\pgf@hbox}}%
+\def\pgf@valigncenter{\pgftransformyshift{+.5\dp\pgf@hbox}\pgftransformyshift{+-.5\ht\pgf@hbox}}%
+\def\pgf@valigntop{\pgftransformyshift{+-\ht\pgf@hbox}}%
+
+
+% Internal function for creating a hbox.
+\def\pgf@maketext#1{%
+ \def\pgf@@maketextafter{#1}%
+ \setbox\pgf@hbox=\hbox\bgroup%
+ \pgfinterruptpicture%
+ \bgroup%
+ \aftergroup\pgf@collectresetcolor%
+ \let\next=%
+}
+\def\pgf@collectresetcolor{%
+ \pgfutil@ifnextchar\reset@color%
+ {\reset@color\afterassignment\pgf@collectresetcolor\let\pgf@temp=}%
+ {\pgf@textdone}%
+}
+\def\pgf@textdone{%
+ \endpgfinterruptpicture%
+ \egroup%
+ \pgf@@maketextafter%
+}
+
+\long\def\pgf@makehbox#1{%
+ \setbox\pgf@hbox=\hbox{{%
+ \pgfinterruptpicture%
+ #1%
+ \endpgfinterruptpicture%
+ }}}
+
+
+
+% Picture environment
+%
+% Example:
+%
+% \begin{pgfpicture}
+% \pgfsetendarrow{\pgfarrowto}
+% \pgfpathmoveto{\pgfpointxy{-0.9}{0.2}}
+% \pgfpathlineto{\pgfpointxy{0.9}{0.4}}
+% \pgfusepath{stroke}
+% \end{pgfpicture}
+
+\newif\ifpgfpicture
+
+\def\pgfpicture{%
+ \begingroup%
+ \pgfpicturetrue%
+ \global\advance\pgf@picture@serial@count by1\relax%
+ \edef\pgfpictureid{pgfid\the\pgf@picture@serial@count}%
+ \let\pgf@nodecallback=\pgfutil@gobble%
+ \pgf@picmaxx=-16000pt\relax%
+ \pgf@picminx=16000pt\relax%
+ \pgf@picmaxy=-16000pt\relax%
+ \pgf@picminy=16000pt\relax%
+ \pgf@relevantforpicturesizetrue%
+ \pgf@resetpathsizes%
+ \pgfutil@ifnextchar\bgroup\pgf@oldpicture\pgf@picture}
+\def\pgf@oldpicture#1#2#3#4{%
+ \pgfmathsetlength\pgf@picminx{#1}%
+ \pgfmathsetlength\pgf@picminy{#2}%
+ \pgfmathsetlength\pgf@picmaxx{#3}%
+ \pgfmathsetlength\pgf@picmaxy{#4}%
+ \pgf@relevantforpicturesizefalse%
+ \pgf@picture}
+
+\def\pgf@picture{%
+ \setbox\pgfpic\hbox to0pt\bgroup%
+ \begingroup%
+ \pgfsys@beginpicture%
+ \pgfsys@beginscope%
+ \begingroup%
+ \pgfsetcolor{.}%
+ \pgfsetlinewidth{0.4pt}%
+ \pgftransformreset%
+ \pgfsyssoftpath@setcurrentpath\pgfutil@empty%
+ \begingroup%
+ \let\pgf@setlengthorig=\setlength%
+ \let\pgf@addtolengthorig=\addtolength%
+ \let\pgf@selectfontorig=\selectfont%
+ \let\setlength=\pgf@setlength%
+ \let\addtolength=\pgf@addtolength%
+ \let\selectfont=\pgf@selectfont%
+ \nullfont\spaceskip\z@\xspaceskip\z@%
+ \setbox\pgf@layerbox@main\hbox to0pt\bgroup%
+ \begingroup%
+ }
+\def\endpgfpicture{%
+ \ifpgfrememberpicturepositiononpage%
+ \hbox to0pt{\pgfsys@markposition{\pgfpictureid}}%
+ \fi%
+ % ok, now let's position the box
+ \ifdim\pgf@picmaxx=-16000pt\relax%
+ % empty picture. make size 0.
+ \global\pgf@picmaxx=0pt\relax%
+ \global\pgf@picminx=0pt\relax%
+ \global\pgf@picmaxy=0pt\relax%
+ \global\pgf@picminy=0pt\relax%
+ \fi%
+ % Shift baseline outside:
+ \pgf@relevantforpicturesizefalse%
+ \pgf@process{\pgf@baseline}%
+ \gdef\pgf@shift@baseline{\the\pgf@y}%
+ \endgroup%
+ \hss%
+ \egroup%
+ \pgf@insertlayers%
+ \endgroup%
+ \pgfsys@discardpath%
+ \endgroup%
+ \pgfsys@endscope%
+ \pgfsys@endpicture%
+ \endgroup%
+ \hss
+ \egroup%
+ \pgfsys@typesetpicturebox\pgfpic%
+ \endgroup%
+}
+
+\def\pgf@insertlayers{%
+ \box\pgf@layerbox@main%
+}
+
+\def\pgf@selectfont{\pgf@selectfontorig\nullfont}
+
+\def\pgf@setlength#1#2{% these will be used only when \nullfont is active
+ \begingroup% keep font setting local
+ \pgfutil@selectfont% restore font
+ \pgf@setlengthorig#1{#2}% calculate dimension (possibly using calc)
+ \expandafter%
+ \endgroup%
+ \expandafter#1\expandafter=\the#1\relax}
+\def\pgf@addtolength#1#2{%
+ \begingroup% keep font setting local
+ \pgfutil@selectfont% restore font
+ \pgf@addtolengthorig#1{#2}% calculate dimension (possibly using calc)
+ \expandafter%
+ \endgroup%
+ \expandafter#1\expandafter=\the#1\relax}
+
+
+% Sets the baseline at the y-coordinate of a given point
+%
+% #1 = point
+%
+% Sets the baseline of the picture to the y-coordinate of a given
+% point. However, the point will be evaluated *at the end of the
+% picture*.
+%
+% Example:
+%
+% \pgfsetbaselinepointlater{\pgfpointanchor{mynode}{base}}
+
+\def\pgfsetbaselinepointlater#1{\def\pgf@baseline{#1}}
+
+
+% Sets the baseline at the y-coordinate of a given point, now
+%
+% #1 = point
+%
+% Sets the baseline of the picture to the y-coordinate of a given
+% point.
+%
+% Example:
+%
+% \pgfsetbaselinepointnow{\pgfpoint{1cm}{2pt}}
+
+\def\pgfsetbaselinepointnow#1{%
+ \pgf@process{#1}%
+ \edef\pgf@setter@baseline{\noexpand\pgfpoint{\the\pgf@x}{\the\pgf@y}}%
+ \pgfsetbaselinepointlater{\pgf@setter@baseline}%
+}
+
+
+% Sets the baseline
+%
+% #1 = baseline
+%
+% Sets the baseline of the picture. Default is the lower border, which
+% is the same as \pgf@picminy
+%
+% Example:
+%
+% \pgfsetbaseline{1cm+2pt}
+
+\def\pgfsetbaseline#1{\pgfsetbaselinepointlater{\pgfpoint{0pt}{#1}}}
+\pgfsetbaseline{\pgf@picminy}
+
+
+
+
+% Interrupt path
+%
+% Description:
+%
+% The environment can be used to insert some drawing commands while
+% constructing a path. The drawing commands inside the environment
+% will not interfere with the path being constructed ``outside.''
+% However, you must ward against graphic state changes using a scope.
+%
+% Example: Draw two parallel lines
+%
+% \pgfmoveto{\pgfpoint{0cm}{0cm}}
+% \begin{pgfinterruptpath}
+% \pgfmoveto{\pgfpoint{1cm}{0cm}}
+% \pgfmoveto{\pgfpoint{1cm}{1cm}}
+% \pgfusepath{stroke}
+% \end{pgfinterruptpath}
+% \pgflineto{\pgfpoint{0cm}{1cm}}
+% \pgfusepath{stroke}
+
+\def\pgfinterruptpath
+{%
+ \begingroup%
+ % save all sorts of things...
+ \edef\pgf@interrupt@savex{\the\pgf@path@lastx}%
+ \edef\pgf@interrupt@savey{\the\pgf@path@lasty}%
+ \pgf@getpathsizes\pgf@interrupt@pathsizes%
+ \pgfsyssoftpath@getcurrentpath\pgf@interrupt@path%
+ \pgfsyssoftpath@setcurrentpath\pgfutil@empty%
+ \edef\pgfscope@linewidth{\the\pgflinewidth}%
+ \let\pgf@interrupt@lastmoveto=\pgfsyssoftpath@lastmoveto%
+ \begingroup%
+}
+\def\endpgfinterruptpath
+{%
+ \endgroup%
+ \global\pgflinewidth=\pgfscope@linewidth%
+ \pgfsyssoftpath@setcurrentpath\pgf@interrupt@path%
+ \pgf@setpathsizes\pgf@interrupt@pathsizes%
+ \global\pgf@path@lastx=\pgf@interrupt@savex%
+ \global\pgf@path@lasty=\pgf@interrupt@savey%
+ \global\let\pgfsyssoftpath@lastmoveto=\pgf@interrupt@lastmoveto%
+ \endgroup%
+}
+
+
+
+% Interrupt bounding box
+%
+% Description:
+%
+% The environment can be used to temporarily setup a new bounding box
+% computation. The bounding box will be made empty at the beginning of
+% the environment and will be reset to its old value after the
+% environment.
+%
+% Example:
+%
+% \begin{pgfinterruptboundinbox}
+% \pgfmoveto{\pgfpoint{1cm}{0cm}}
+% \pgfmoveto{\pgfpoint{1cm}{1cm}}
+% \pgfusepath{stroke}
+% \end{pgfinterruptboundinbox}
+
+\def\pgfinterruptboundingbox
+{%
+ \begingroup%
+ \edef\pgf@interrupt@savemaxx{\the\pgf@picmaxx}%
+ \edef\pgf@interrupt@saveminx{\the\pgf@picminx}%
+ \edef\pgf@interrupt@savemaxy{\the\pgf@picmaxy}%
+ \edef\pgf@interrupt@saveminy{\the\pgf@picminy}%
+ \pgf@picmaxx=-16000pt\relax%
+ \pgf@picminx=16000pt\relax%
+ \pgf@picmaxy=-16000pt\relax%
+ \pgf@picminy=16000pt\relax%
+}
+\def\endpgfinterruptboundingbox
+{%
+ \global\pgf@picmaxx=\pgf@interrupt@savemaxx%
+ \global\pgf@picmaxy=\pgf@interrupt@savemaxy%
+ \global\pgf@picminx=\pgf@interrupt@saveminx%
+ \global\pgf@picminy=\pgf@interrupt@saveminy%
+ \endgroup%
+}
+
+
+
+
+
+% Interrupts a picture
+%
+% Description:
+%
+% This environment interrupts a picture and temporarily returns to
+% normal TeX mode. All sorts of things are saved and restored by this
+% environment.
+%
+% WARNING: Using this environment in conjuction with low level
+% transformations can *strongly* upset the typesetting. Typically, the
+% contents of this environment should have size/height/depth 0pt in
+% the end.
+%
+% WARNING: This environment should only be used inside typesetting a
+% box and this box must in turn be inserted using \pgfqbox.
+%
+% Example: Draw two parallel lines
+%
+% \pgfmoveto{\pgfpoint{0cm}{0cm}}
+% \setbox\mybox=\hbox{
+% \begin{pgfinterruptpicture}
+% This is normal text.
+% \begin{pgfpicture} % a subpicture
+% \pgfmoveto{\pgfpoint{1cm}{0cm}}
+% \pgfmoveto{\pgfpoint{1cm}{1cm}}
+% \pgfusepath{stroke}
+% \end{pgfpicture}
+% More text.
+% \end{pgfinterruptpicture}
+% }
+% \ht\mybox=0pt
+% \wd\mybox=0pt
+% \dp\mybox=0pt
+% \pgfqbox{\mybox}%
+% \pgfpathlineto{\pgfpoint{0cm}{1cm}}
+% \pgfusepath{stroke}
+
+\def\pgfinterruptpicture
+{%
+ \begingroup%
+ \pgfinterruptboundingbox%
+ \pgftransformreset%
+ \pgfinterruptpath%
+ \ifx\pgf@selectfontorig\@undefined%
+ \else%
+ \let\setlength\pgf@setlengthorig%
+ \let\addtolength\pgf@addtolengthorig%
+ \let\selectfont\pgf@selectfontorig%
+ \fi%
+ \pgfutil@selectfont%
+ \pgfpicturefalse%
+ \pgf@savelayers%
+}
+\def\endpgfinterruptpicture
+{%
+ \pgf@restorelayers%
+ \endpgfinterruptpath%
+ \endpgfinterruptboundingbox%
+ \endgroup%
+}
+
+\let\pgf@savelayers=\relax
+\let\pgf@restorelayers=\relax
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
new file mode 100644
index 00000000000..e8225bb0225
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex
@@ -0,0 +1,580 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoreshade.code.tex,v 1.9 2007/12/10 13:19:32 tantau Exp $
+
+%
+% Parsing functions
+%
+\newdimen\pgf@max
+\newcount\pgf@sys@shading@range@num
+\def\pgf@parsefunc#1{%
+ \edef\temp{{#1}}%
+ \expandafter\pgf@convertrgbstring\temp%
+ \edef\temp{{\pgf@rgbconv}}%
+ \expandafter\pgf@@parsefunc\temp}
+\def\pgf@@parsefunc#1{%
+ \let\pgf@bounds=\pgfutil@empty%
+ \let\pgf@funcs=\pgfutil@empty%
+ \let\pgf@psfuncs=\pgfutil@empty%
+ \let\pgf@encode=\pgfutil@empty%
+ \let\pgf@sys@shading@ranges=\pgfutil@empty%
+ \pgf@sys@shading@range@num=0\relax%
+ \pgf@parsefirst[#1; ]%
+ \pgf@parselastdom[#1; ]%
+ \pgf@parsemid[#1; ]%
+ \ifx\pgf@bounds\pgfutil@empty%
+ \edef\pgf@pdfparseddomain{0 1}%
+ \edef\pgf@pdfparsedfunction{\pgf@singlefunc\space}%
+ \else%
+ \edef\pgf@pdfparseddomain{\pgf@doma\space\pgf@domb}%
+ \edef\pgf@pdfparsedfunction{%
+ << /FunctionType 3 /Domain [\pgf@doma\space\pgf@domb] /Functions
+ [\pgf@funcs\space] /Bounds [\pgf@bounds] /Encode [0 1 \pgf@encode]
+ >> }% <<
+ \fi%
+ \xdef\pgf@psfuncs{\pgf@psfuncs}%
+ }
+\def\pgf@parsefirst[rgb(#1)=(#2,#3,#4)#5]{%
+ \pgfmathsetlength\pgf@x{#1}%
+ \edef\pgf@sys@shading@start@pos{\the\pgf@x}%
+ \pgf@sys@bp@correct\pgf@x%
+ \edef\pgf@doma{\pgf@sys@tonumber{\pgf@x}}%
+ \edef\pgf@prevx{\pgf@sys@tonumber{\pgf@x}}%
+ \pgf@getrgbtuplewithmixin{#2}{#3}{#4}%
+ \edef\pgf@sys@shading@start@rgb{\pgf@sys@rgb}%
+ \let\pgf@sys@prevcolor=\pgf@sys@shading@start@rgb%
+ \let\pgf@sys@prevpos=\pgf@sys@shading@start@pos%
+ \edef\pgf@prevcolor{\pgf@rgb}%
+ \edef\pgf@firstcolor{\pgf@rgb}}
+\def\pgf@parselastdom[rgb(#1)=(#2,#3,#4); {%
+ \pgfutil@ifnextchar]{%
+ \pgfmathsetlength\pgf@x{#1}%
+ \edef\pgf@sys@shading@end@pos{\the\pgf@x}%
+ \pgf@max=\pgf@x\relax%
+ \pgf@sys@bp@correct\pgf@x%
+ \edef\pgf@domb{\pgf@sys@tonumber{\pgf@x}}%
+ \pgf@getrgbtuplewithmixin{#2}{#3}{#4}%
+ \edef\pgf@sys@shading@end@rgb{\pgf@sys@rgb}%
+ \pgfutil@gobble}{\pgf@parselastdom[}}
+\def\pgf@parsemid[rgb(#1)=(#2,#3,#4); {\pgf@parserest[}
+\def\pgf@parserest[rgb(#1)=(#2,#3,#4); {%
+ \advance\pgf@sys@shading@range@num by1\relax%
+ \pgfutil@ifnextchar]{%
+ \pgf@getrgbtuplewithmixin{#2}{#3}{#4}%
+ \edef\pgf@singlefunc{\space%
+ << /FunctionType 2 /Domain [0 1] /C0
+ [\pgf@prevcolor] /C1 [\pgf@rgb] /N 1 >> }% <<
+ \edef\pgf@funcs{\pgf@funcs\space%
+ << /FunctionType 2 /Domain [\pgf@doma\space\pgf@domb] /C0
+ [\pgf@prevcolor] /C1 [\pgf@rgb] /N 1 >> }% <<
+ \edef\pgf@psfuncs{\pgf@prevx\space \pgf@rgb\space \pgf@prevcolor\space pgfshade \pgf@psfuncs}%
+ \pgfmathsetlength\pgf@x{#1}%
+ \edef\pgf@sys@shading@ranges{\pgf@sys@shading@ranges{{\pgf@sys@prevpos}{\the\pgf@x}{\pgf@sys@prevcolor}{\pgf@sys@rgb}}}%
+ \edef\pgf@sys@prevpos{\the\pgf@x}%
+ \let\pgf@sys@prevcolor=\pgf@sys@rgb%
+ \pgfutil@gobble}{%
+ \pgfmathsetlength\pgf@x{#1}%
+ \pgf@getrgbtuplewithmixin{#2}{#3}{#4}%
+ \edef\pgf@sys@shading@ranges{\pgf@sys@shading@ranges{{\pgf@sys@prevpos}{\the\pgf@x}{\pgf@sys@prevcolor}{\pgf@sys@rgb}}}%
+ \edef\pgf@sys@prevpos{\the\pgf@x}%
+ \let\pgf@sys@prevcolor=\pgf@sys@rgb%
+ \edef\pgf@psfuncs{\pgf@prevx\space \pgf@rgb\space \pgf@prevcolor\space pgfshade \pgf@psfuncs}%
+ \pgf@sys@bp@correct\pgf@x%
+ \edef\pgf@prevx{\pgf@sys@tonumber{\pgf@x}}%
+ \edef\pgf@bounds{\pgf@bounds\space\pgf@sys@tonumber{\pgf@x}}%
+ \edef\pgf@encode{\pgf@encode\space0 1}%
+ \edef\pgf@singlefunc{\space%
+ << /FunctionType 2 /Domain [0 1] /C0
+ [\pgf@prevcolor] /C1 [\pgf@rgb] /N 1 >> }% <<
+ \edef\pgf@funcs{\pgf@funcs\space%
+ << /FunctionType 2 /Domain [\pgf@doma\space\pgf@domb] /C0
+ [\pgf@prevcolor] /C1 [\pgf@rgb] /N 1 >> }% <<
+ \edef\pgf@prevcolor{\pgf@rgb}%
+ \pgf@parserest[}}
+
+\def\pgf@getrgbtuplewithmixin#1#2#3{%
+ \pgfutil@definecolor{pgfshadetemp}{rgb}{#1,#2,#3}%
+ \pgfutil@ifundefined{applycolormixins}{}{\applycolormixins{pgfshadetemp}}%
+ \pgfutil@extractcolorspec{pgfshadetemp}{\pgf@tempcolor}%
+ \expandafter\pgfutil@convertcolorspec\pgf@tempcolor{rgb}{\pgf@rgbcolor}%
+ \expandafter\pgf@getrgb@@\pgf@rgbcolor!}
+\def\pgf@getrgb@@#1,#2,#3!{%
+ \def\pgf@rgb{#1 #2 #3}%
+ \def\pgf@sys@rgb{{#1}{#2}{#3}}%
+}
+
+
+\def\pgf@convertrgbstring#1{%
+ \def\pgf@rgbconv{}%
+ \pgf@converttorgb#1]%
+ }
+\def\pgf@converttorgb{%
+ \pgfutil@ifnextchar]{\pgfutil@gobble}%done!
+ {%
+ \pgfutil@ifnextchar;{\pgf@grabsemicolor}%
+ {%
+ \pgfutil@ifnextchar r{\pgf@grabrgb}%
+ {%
+ \pgfutil@ifnextchar g{\pgf@grabgray}%
+ {%
+ \pgfutil@ifnextchar c{\pgf@grabcolor}%
+ {\PackageError{pgfshade}{Illformed shading
+ specification}{}\pgf@converttorgb}%
+ }%
+ }%
+ }%
+ }%
+}
+\def\pgf@grabsemicolor;{%
+ \edef\pgf@rgbconv{\pgf@rgbconv; }\pgf@converttorgb}
+\def\pgf@grabrgb rgb(#1)=(#2,#3,#4){%
+ \edef\pgf@rgbconv{\pgf@rgbconv rgb(#1)=(#2,#3,#4)}\pgf@converttorgb}
+\def\pgf@grabgray gray(#1)=(#2){%
+ \edef\pgf@rgbconv{\pgf@rgbconv rgb(#1)=(#2,#2,#2)}\pgf@converttorgb}
+\def\pgf@grabcolor color(#1)=(#2){%
+ \pgfutil@colorlet{pgf@tempcol}{#2}%
+ \pgfutil@extractcolorspec{pgf@tempcol}{\pgf@tempcolor}%
+ \expandafter\pgfutil@convertcolorspec\pgf@tempcolor{rgb}{\pgf@rgbcolor}%
+ \expandafter\pgf@convgetrgb@\expandafter{\pgf@rgbcolor}{#1}%
+}
+\def\pgf@convgetrgb@#1#2{%
+ \edef\pgf@rgbconv{\pgf@rgbconv rgb(#2)=(#1)}\pgf@converttorgb}
+
+
+
+
+% Declares a horizontal shading for later use. The shading is a
+% horizontal bar that changes its color.
+%
+% #1 = optional dependencies
+% #2 = name of the shading for later use
+% #3 = height of the shading
+% #4 = color specification in the following format: A list of colors
+% that the bar should have at certain points. If the bar should
+% be red at 1cm, this is specified as
+% "rgb(1cm)=(1,0,0)". Multiple specifications are separated by a
+% semicolon and a space. At least two specifications must be
+% given. The specified positions must be given in increasing
+% order.
+%
+% Description:
+%
+% The optional dependecies have the following effect: If present, it
+% should consist of a list of colors, separated by commas. Each time
+% the shading is used, these colors will be reevaluated. It will be
+% checked whether the colors still have their "original meaning". If
+% the colors have changed, a new shading will be created internally to
+% reflect the changed color's values.
+%
+% Example:
+%
+% \pgfdeclarehorizontalshading{redtogreentoblue}{1cm}{%
+% rgb(0cm)=(1,0,0); % red
+% rgb(1cm)=(0,1,0); % green
+% rgb(2cm)=(0,0,1)}
+%
+% \begin{document}
+% The following bar is 2cm long: \pgfuseshading{redtogreentoblue}.
+% \end{document}
+
+\def\pgfdeclarehorizontalshading{\pgfutil@ifnextchar[\pgf@declarehorizontalshading{\pgf@declarehorizontalshading[]}}%
+\def\pgf@declarehorizontalshading[#1]#2#3#4{%
+ \expandafter\def\csname pgf@deps@pgfshading#2!\endcsname{#1}%
+ \expandafter\ifx\csname pgf@deps@pgfshading#2!\endcsname\pgfutil@empty%
+ \pgfsys@horishading{#2}{#3}{#4}%
+ \else%
+ \expandafter\def\csname pgf@func@pgfshading#2!\endcsname{\pgfsys@horishading}%
+ \expandafter\def\csname pgf@args@pgfshading#2!\endcsname{{#3}{#4}}%
+ \expandafter\let\csname @pgfshading#2!\endcsname=\pgfutil@empty%
+ \fi}
+
+
+% Declares a vertical shading for later use.
+%
+% #1 = optinal dependecies
+% #2 = name of the shading for later use
+% #3 = height of the shading
+% #4 = color specification
+%
+% Example:
+%
+% \pgfdeclareverticalshading{redtogreentoblue}{1cm}{%
+% rgb(0cm)=(1,0,0); % red
+% rgb(1cm)=(0,1,0); % green
+% rgb(2cm)=(0,0,1)}
+%
+% \begin{document}
+% The following bar is 2cm high: \pgfuseshading{redtogreentoblue}.
+% \end{document}
+
+\def\pgfdeclareverticalshading{\pgfutil@ifnextchar[\pgf@declareverticalshading{\pgf@declareverticalshading[]}}%
+\def\pgf@declareverticalshading[#1]#2#3#4{%
+ \expandafter\def\csname pgf@deps@pgfshading#2!\endcsname{#1}%
+ \expandafter\ifx\csname pgf@deps@pgfshading#2!\endcsname\pgfutil@empty%
+ \pgfsys@vertshading{#2}{#3}{#4}%
+ \else%
+ \expandafter\def\csname pgf@func@pgfshading#2!\endcsname{\pgfsys@vertshading}%
+ \expandafter\def\csname pgf@args@pgfshading#2!\endcsname{{#3}{#4}}%
+ \expandafter\let\csname @pgfshading#2!\endcsname=\pgfutil@empty%
+ \fi}
+
+
+% Declares a radial shading for later use.
+%
+% #1 = optional dependencies
+% #2 = name of the shading for later use
+% #3 = center of inner circle
+% #4 = color specification
+%
+% Description:
+%
+% A radial shading creates a smooth color transition between two
+% circles. The center of the inner circle is at the give position. Its
+% radius is the start of the color specification. The
+% center of the outer circle is at the center of the whole shading,
+% whose radius is the end of the color specification. For example,
+% suppose the color specification is "rgb(1cm)=(1,1,1); rgb(2cm)=(0,0,0)".
+% Then the shading would be 4cm times 4cm large. The inner circle would
+% have diameter 1cm and the outer circle would have diameter 2cm. The
+% outer circle would be centered in the middle of the shading, whereas
+% the outer circle would be centered at the given position.
+%
+% Example:
+%
+% \pgfdeclareradialshading{redtogreentoblue}{\pgfpoint{2cm}{2cm}}{%
+% rgb(10pt)=(1,0,0); % red
+% rgb(2cm)=(0,1,0); % green
+% rgb(3cm)=(0,0,1)}
+%
+% \begin{document}
+% The following ball has diameter 3cm: \pgfuseshading{redtogreentoblue}.
+% \end{document}
+
+\def\pgfdeclareradialshading{\pgfutil@ifnextchar[\pgf@declareradialshading{\pgf@declareradialshading[]}}%
+\def\pgf@declareradialshading[#1]#2#3#4{%
+ \expandafter\def\csname pgf@deps@pgfshading#2!\endcsname{#1}%
+ \expandafter\ifx\csname pgf@deps@pgfshading#2!\endcsname\pgfutil@empty%
+ \pgfsys@radialshading{#2}{#3}{#4}%
+ \else%
+ \expandafter\def\csname pgf@func@pgfshading#2!\endcsname{\pgfsys@radialshading}%
+ \expandafter\def\csname pgf@args@pgfshading#2!\endcsname{{#3}{#4}}%
+ \expandafter\let\csname @pgfshading#2!\endcsname=\pgfutil@empty%
+ \fi}
+
+
+
+
+% Declares a functional shading for later use.
+%
+% #1 = optional dependecies
+% #2 = name of the shading for later use
+% #3 = lower left corner of the shading as a pgfpoint.
+% #4 = upper right corner of the shading as a pgfpoint.
+% #5 = Preparation code
+% #6 = a PDF type 4 function (restricted Postscript function), see the
+% PDF-specification 1.7, section 3.9.4
+%
+% Description:
+%
+% This command creates a so-called functional shading. For such a
+% shading the color of each point is calculated by calling a function
+% for each point that gets the coordinates as input and yields the
+% color as an output. Note that the function is evaluated by the
+% *renderer*, not by PGF or TeX or someone else at compile-time. This
+% means that the evaluation of this function has to be done *extremely
+% quickly* and the funciton should be *very simple*. For this reason,
+% only a very restricted set of operations are possible in the
+% function (see 3.9.4 of the PDF-spec 1.7). Also functions should be
+% kept small. Any errors in the function will only be noticed by the
+% renderer.
+%
+% The function gets the coordinates of a point as input (as bp). This
+% input consists of the top two elements of an otherwise empty
+% (virtual, PostScript) stack. The function should then replace these
+% two values by three values, representing the red, green, and blue
+% color of the point. The numbers should be real values, not integers
+% since Apple's PDF renderer is broken in this regard (use cvr at the
+% end if necessary).
+%
+% Conceptually, the function will be evaluated once for each point of
+% the rectangle (#3) to (#4). A renderer may choose to evaluate the
+% function at less points, but, in principle, the function will be
+% evaluated for each pixel independently.
+%
+% Because of the rather difficult PostScript syntax, use this macro
+% only *if you know what you are doing* (or if you are advanterous, of
+% course).
+%
+% As for other shadings, the optional depencies argument is used to
+% determine whether a shading needs to be recalculated when a color
+% has changed.
+%
+% The code #5 is executed each time a shading is
+% (re)calculated. Typically, it will contain code to extract
+% coordinates from colors (see below).
+%
+% Inside the PostScript function #6 you cannot use colors
+% directly. Rather, you must push the color components on the
+% stack. For this, it is useful to call \pgfshadergb in the startup
+% code #4. The macro takes a color name as input and stores the color's
+% red/green/blue components real numbers between 0.0 and 1.0 separated
+% by spaces (which is exactly what you need if you want to push it on
+% a stack) in a macro.
+%
+% Example:
+%
+%\pgfdeclarefunctionalshading{twospots}{\pgfpointorigin}{\pgfpoint{200bp}{200bp}}{}{
+% 2 copy
+% 90 sub dup mul exch
+% 80 sub dup mul add sqrt
+% dup mul neg 1.0005 exch exp 1.0 exch sub
+% 3 1 roll
+% 120 sub dup mul exch
+% 100 sub dup mul add sqrt
+% dup mul neg 1.002 exch exp 1.0 exch sub
+% 1.0
+%}
+%
+% \pgfdeclarefunctionalshading[mycol]{sweep}{\pgfpointorigin}{\pgfpoint{100bp}{100bp}}
+% {\pgfshadecolortorgb{mycol}{\myrgb}}{
+% add 150 div % not very useful...
+% dup
+% \myrgb % push mycol
+% 5 4 roll % multiply all components by calculated value
+% mul
+% 3 1 roll
+% 3 index
+% mul
+% 3 1 roll
+% 4 3 roll
+% mul
+% 3 1 roll
+% }
+%
+% \begin{document}
+% Have a look at this: \pgfuseshading{twospots}.
+% Here is \colorlet{mycol}{green!50}\pgfuseshading{sweep} in green
+% and in \colorlet{mycol}{red!50!blue}\pgfuseshading{sweep} in red/blue.
+% \end{document}
+
+\def\pgfdeclarefunctionalshading{\pgfutil@ifnextchar[\pgf@declarefunctionalshading{\pgf@declarefunctionalshading[]}}%
+\def\pgf@declarefunctionalshading[#1]#2#3#4#5#6{%
+ \expandafter\def\csname pgf@deps@pgfshading#2!\endcsname{#1}%
+ \expandafter\ifx\csname pgf@deps@pgfshading#2!\endcsname\pgfutil@empty%
+ \pgfshade@functionaldo{#2}{#3}{#4}{#5}{#6}%
+ \else%
+ \expandafter\def\csname pgf@func@pgfshading#2!\endcsname{\pgfshade@functionaldo}%
+ \expandafter\def\csname pgf@args@pgfshading#2!\endcsname{{#3}{#4}{#5}{#6}}%
+ \expandafter\let\csname @pgfshading#2!\endcsname=\pgfutil@empty%
+ \fi}
+\def\pgfshade@functionaldo#1#2#3#4#5{%
+ {%
+ #4%
+ \pgfsys@functionalshading{#1}{#2}{#3}{#5}%
+ }%
+}
+
+\def\pgfshadecolortorgb#1#2{%
+ \pgfutil@colorlet{pgf@tempcol}{#1}%
+ \pgfutil@extractcolorspec{pgf@tempcol}{\pgf@tempcolor}%
+ \expandafter\pgfutil@convertcolorspec\pgf@tempcolor{rgb}{\pgf@rgbcolor}%
+ \expandafter\pgfshading@rgb\pgf@rgbcolor\relax%
+ \edef#2{\pgf@sys@tonumber{\pgf@xa}\space\pgf@sys@tonumber{\pgf@xb}\space\pgf@sys@tonumber{\pgf@xc}\space}%
+}
+\def\pgfshading@rgb#1,#2,#3\relax{%
+ \pgf@xa=#1pt%
+ \pgf@xb=#2pt%
+ \pgf@xc=#3pt%
+}
+
+
+
+
+% Inserts a box into the text that contains a previously defined
+% shading.
+%
+% #1 = Name of a shading
+%
+% Example:
+%
+% \pgfuseshading{redtogreentoblue}
+
+\def\pgfuseshading#1{%
+ \edef\pgf@shadingname{@pgfshading#1}%
+ \pgf@tryextensions{\pgf@shadingname}{\pgfalternateextension}%
+ \expandafter\pgfutil@ifundefined\expandafter{\pgf@shadingname}%
+ {\PackageError{pgfshade}{Undefined shading "#1"}{}}%
+ {%
+ {%
+ \pgfutil@globalcolorsfalse%
+ \def\pgf@shade@adds{}%
+ \pgfutil@ifundefined{pgf@deps\pgf@shadingname}%
+ {}%
+ {%
+ \edef\@list{\csname pgf@deps\pgf@shadingname\endcsname}%
+ \pgfutil@for\@temp:=\@list\do{%
+ {%
+ \pgfutil@ifundefined{applycolormixins}{}{\applycolormixins{\@temp}}%
+ \pgfutil@extractcolorspec{\@temp}{\pgf@tempcolor}%
+ \expandafter\pgfutil@convertcolorspec\pgf@tempcolor{rgb}{\pgf@rgbcolor}%
+ \xdef\pgf@shade@adds{\pgf@shade@adds,\pgf@rgbcolor}%
+ }%
+ }%
+ }%
+ \expandafter\pgf@strip@shadename\pgf@shadingname!!%
+ \pgfutil@ifundefined{@pgfshading\pgf@basename\pgf@shade@adds!}%
+ {%
+ {%
+ \expandafter\def\expandafter\@temp\expandafter{\csname pgf@func\pgf@shadingname\endcsname}%
+ \edef\@args{{\pgf@basename\pgf@shade@adds}}%
+ \expandafter\expandafter\expandafter\def%
+ \expandafter\expandafter\expandafter\@@args%
+ \expandafter\expandafter\expandafter{\csname pgf@args\pgf@shadingname\endcsname}%
+ \expandafter\expandafter\expandafter\@temp\expandafter\@args\@@args%
+ %
+ }%
+ }%
+ {}%
+ \pgf@invokeshading{\csname @pgfshading\pgf@basename\pgf@shade@adds!\endcsname}%
+ }%
+ }%
+}
+
+\def\pgf@strip@shadename @pgfshading#1!!!{\def\pgf@basename{#1}}
+
+\def\pgf@invokeshading#1{%
+ \ifpgfpicture%
+ \pgfsys@shadinginsidepgfpicture{#1}%
+ \else%
+ \pgfsys@shadingoutsidepgfpicture{#1}%
+ \fi%
+}
+
+
+% Create an alias name for a shading
+%
+% #1 = name of the alias
+% #2 = name of the original
+%
+% Example:
+%
+% \pgfaliasshading{shading!25}{shadingshaded}
+
+\def\pgfaliasshading#1#2{%
+ \expandafter\let\expandafter\pgf@temp\expandafter=\csname @pgfshading#2!\endcsname%
+ \expandafter\let\csname @pgfshading#1!\endcsname=\pgf@temp%
+ \expandafter\let\expandafter\pgf@temp\expandafter=\csname pgf@deps@pgfshading#2!\endcsname%
+ \expandafter\let\csname pgf@deps@pgfshading#1!\endcsname=\pgf@temp%
+ \expandafter\let\expandafter\pgf@temp\expandafter=\csname pgf@func@pgfshading#2!\endcsname%
+ \expandafter\let\csname pgf@func@pgfshading#1!\endcsname=\pgf@temp%
+ \expandafter\let\expandafter\pgf@temp\expandafter=\csname pgf@args@pgfshading#2!\endcsname%
+ \expandafter\let\csname pgf@args@pgfshading#1!\endcsname=\pgf@temp%
+}
+
+
+
+
+% Shades the current path, but does not discard it.
+%
+% #1 - a shading (see below)
+% #2 - an angle
+%
+% Description:
+%
+% \pgfshadepath ``tries'' to fill the
+% current path with a shading. The shading's original size should
+% completely cover the area between (0,0) and (100bp,100bp). The
+% shading will be rotated by #2 and then rescaled so that it
+% completely covers the path. Then the path will be used (locally) for
+% clipping and the shading is drawn.
+%
+% In addition to the rotation, any transformation set by the
+%\pgfsetadditionalshadetransform will also be applied.
+%
+% After all this, the path can still be used for the normal
+% stroking/clipping operations.
+%
+% The shading is rotated around its middle. If no rotation occurs, the
+% lower left corner of the path will lie on (25bp, 25bp), the upper
+% right corner on (75bp, 75bp).
+%
+% Example:
+%
+% \pgfdeclareverticalshading{myshading}{100bp}{color(0pt)=(red); color(100bp)=(green)}
+%
+% \pgfpathmoveto{\pgforigin}
+% \pgfpathlineto{\pgfxy(1,0)}
+% \pgfpathlineto{\pgfxy(1,1)}
+% \pgfshadepath{myshading}{0}
+% \pgfusepath{stroke}
+
+\def\pgfshadepath#1#2{%
+ \ifdim\pgf@pathminx=16000pt%
+ \PackageWarning{pgfshade}{No path specified that can be filled}%
+ \else%
+ \begingroup%
+ \pgfsys@beginscope%
+ % Calculate center:
+ \pgf@xb=.5\pgf@pathmaxx%
+ \advance\pgf@xb by.5\pgf@pathminx%
+ \pgf@yb=.5\pgf@pathmaxy%
+ \advance\pgf@yb by.5\pgf@pathminy%
+ % Calculate scaling:
+ \pgf@xc=\pgf@pathmaxx%
+ \advance\pgf@xc by-\pgf@pathminx%
+ \pgf@yc=\pgf@pathmaxy%
+ \advance\pgf@yc by-\pgf@pathminy%
+ \pgf@xc=.02\pgf@xc%
+ \pgf@yc=.02\pgf@yc%
+ \pgfsyssoftpath@invokecurrentpath%
+ \pgfsys@clipnext%
+ \pgfsys@discardpath%
+ % Compute new transformation matrix:
+ \pgfsys@transformcm{1}{0}{0}{1}{\pgf@xb}{\pgf@yb}%
+ \pgfsys@transformcm%
+ {\pgf@sys@tonumber{\pgf@xc}}{0}%
+ {0}{\pgf@sys@tonumber{\pgf@yc}}{0pt}{0pt}%
+ \pgfmathparse{#2}%
+ \let\pgfshade@angle=\pgfmathresult%
+ \pgfmathsin@{\pgfshade@angle}%
+ \let\pgfshade@sin=\pgfmathresult%
+ \pgfmathcos@{\pgfshade@angle}%
+ \let\pgfshade@cos=\pgfmathresult%
+ \pgf@x=\pgfshade@sin pt%
+ \pgf@xa=-\pgf@x%
+ \pgfsys@transformcm{\pgfshade@cos}{\pgfshade@sin}{\pgf@sys@tonumber{\pgf@xa}}{\pgfshade@cos}{0pt}{0pt}%
+ \ifx\pgf@shade@extra@transform\pgfutil@empty%
+ \else%
+ \pgflowlevel{\pgf@shade@extra@transform}%
+ \fi%
+ \pgfuseshading{#1}%
+ \pgfsys@endscope%
+ \endgroup%
+ \fi%
+}
+
+
+% Additionally transform shade paths
+%
+% #1 = Transformation code that is used in addition to the normal
+% shading transformation.
+%
+% Example:
+%
+% \pgfsetadditionalshadetransform{\pgftransformrotate{30}}
+
+\def\pgfsetadditionalshadetransform#1{\def\pgf@shade@extra@transform{#1}}
+\let\pgf@shade@extra@transform=\pgfutil@empty
+
+
+
+
+
+\endinput
diff --git a/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex
new file mode 100644
index 00000000000..caf5432b4d8
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex
@@ -0,0 +1,632 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesFileRCS $Header: /cvsroot/pgf/pgf/generic/pgf/basiclayer/pgfcoretransformations.code.tex,v 1.10 2008/02/04 17:19:54 tantau Exp $
+
+
+% Position transformations
+
+\newdimen\pgf@pt@x
+\newdimen\pgf@pt@y
+
+\newdimen\pgf@pt@temp
+
+\newif\ifpgf@pt@identity
+\pgf@pt@identitytrue
+
+\def\pgf@pt@aa{1.0} \def\pgf@pt@ab{0.0}
+\def\pgf@pt@ba{0.0} \def\pgf@pt@bb{1.0}
+
+
+
+% Store the current transformation matrix in a macro.
+%
+% #1 = macro name
+%
+% Example:
+%
+% \pgfgettransform\mytransform
+
+\def\pgfgettransform#1{%
+ \edef#1{{\pgf@pt@aa}{\pgf@pt@ab}{\pgf@pt@ba}{\pgf@pt@bb}{\the\pgf@pt@x}{\the\pgf@pt@y}}
+}
+
+
+% Restore the current transformation matrix from a macro.
+%
+% #1 = macro name, previously used with \pgfgettransform
+%
+% Example:
+%
+% \pgfsettransform\mytransform
+
+\def\pgfsettransform#1{%
+ \edef\pgf@temp{#1}%
+ \expandafter\pgf@settransform\pgf@temp%
+}
+\def\pgf@settransform#1#2#3#4#5#6{%
+ \def\pgf@pt@aa{#1}%
+ \def\pgf@pt@ab{#2}%
+ \def\pgf@pt@ba{#3}%
+ \def\pgf@pt@bb{#4}%
+ \pgf@pt@x=#5%
+ \pgf@pt@y=#6%
+ \edef\pgf@idtest{#1,#2,#3,#4}%
+ \ifx\pgf@idtest\pgf@idmatrixtext%
+ \pgf@pt@identitytrue%
+ \else%
+ \pgf@pt@identityfalse%
+ \fi%
+}
+
+\def\pgf@idmatrixtext{1.0,0.0,0.0,1.0}
+\def\pgf@zerozerotext{0.0,0.0}
+
+% Transformation command
+%
+% #1 = x dimension
+% #2 = y dimension
+%
+% Description:
+%
+% Applies the pgfs transformation matrix to the point (#1,#2). The
+% result is once more stored in the point.
+%
+%
+% Example:
+%
+% \pgf@pos@transform{\pgf@x}{\pgf@y}
+
+\def\pgf@pos@transform#1#2{%
+ \ifpgf@pt@identity%
+ \else%
+ \pgf@pt@temp=#1%
+ #1=\pgf@pt@aa#1%
+ \advance#1 by\pgf@pt@ba#2%
+ #2=\pgf@pt@bb#2%
+ \advance#2 by\pgf@pt@ab\pgf@pt@temp%
+ \fi%
+ \advance#1 by\pgf@pt@x%
+ \advance#2 by\pgf@pt@y%
+}
+
+
+% Invert the current transformation matrix
+%
+% Description:
+%
+% This command replaces the current transformation matrix by its
+% inverse. The inversion is not very exact if the matrix is nearly
+% singular.
+%
+% Example:
+%
+% \pgftransforminvert
+
+\def\pgftransforminvert{%
+ % First, invert the shift. That's easy
+ \pgf@pt@x=-\pgf@pt@x
+ \pgf@pt@y=-\pgf@pt@y
+ \ifpgf@pt@identity%
+ \else%
+ % Sigh. Have to calculate the inverse of the matrix.
+ % Perhaps we are lucky and ba and bb are zero?
+ \edef\pgf@zerotest{\pgf@pt@ab,\pgf@pt@ba}%
+ \ifx\pgf@zerotest\pgf@zerozerotext%
+ % Ha! Just invert aa and bb
+ \pgfmathreciprocal@{\pgf@pt@aa}%
+ \let\pgf@pt@aa\pgfmathresult%
+ \pgfmathreciprocal@{\pgf@pt@bb}%
+ \let\pgf@pt@bb\pgfmathresult%
+ \else%
+ % Start with determinant
+ % Matrix = (aa ab
+ % ba bb)
+ {%
+ \pgfutil@tempdima=\pgf@pt@aa pt%
+ \pgfutil@tempdima=\pgf@pt@bb\pgfutil@tempdima% aa * bb
+ \pgfutil@tempdimb=\pgf@pt@ba pt%
+ \pgfutil@tempdimb=\pgf@pt@ab\pgfutil@tempdimb% ba * ab
+ \advance\pgfutil@tempdima by -\pgfutil@tempdimb% aa*bb - ba*ab
+ % Invert
+ \pgfmathreciprocal@{\pgf@sys@tonumber{\pgfutil@tempdima}}%
+ \pgfutil@tempdima=\pgfmathresult pt%
+ \pgf@x=\pgf@pt@bb\pgfutil@tempdima% bb/(det A)
+ \xdef\pgf@new@pt@aa{\pgf@sys@tonumber{\pgf@x}}%
+ \pgf@x=\pgf@pt@aa\pgfutil@tempdima% aa/(det A)
+ \xdef\pgf@new@pt@bb{\pgf@sys@tonumber{\pgf@x}}%
+ \pgfutil@tempdima=-\pgfutil@tempdima%
+ \pgf@x=\pgf@pt@ba\pgfutil@tempdima% -ba/(det A)
+ \xdef\pgf@new@pt@ba{\pgf@sys@tonumber{\pgf@x}}%
+ \pgf@x=\pgf@pt@ab\pgfutil@tempdima% -ab/(det A)
+ \xdef\pgf@new@pt@ab{\pgf@sys@tonumber{\pgf@x}}%
+ }%
+ \let\pgf@pt@aa\pgf@new@pt@aa%
+ \let\pgf@pt@ab\pgf@new@pt@ab%
+ \let\pgf@pt@ba\pgf@new@pt@ba%
+ \let\pgf@pt@bb\pgf@new@pt@bb%
+ \fi%
+ \pgf@pt@temp=\pgf@pt@x%
+ \pgf@pt@x=\pgf@pt@aa\pgf@pt@x%
+ \advance\pgf@pt@x by\pgf@pt@ba\pgf@pt@y%
+ \pgf@pt@y=\pgf@pt@bb\pgf@pt@y%
+ \advance\pgf@pt@y by\pgf@pt@ab\pgf@pt@temp%
+ \fi%
+}
+
+
+
+
+% PGF-Level concatenation of the transformation matrix with a given
+% matrix.
+%
+% #1 - #5 = a concatenation matrix (see pdf spec). Entry #5 is a
+% translation point.
+%
+% Description:
+%
+% All coordinates given to subsequent path construction commands will
+% be transformed additionally by the given transformation matrix. If
+% the command is followed by a 6th argument, the transformation is
+% only applied to this argument.
+%
+%
+% Example:
+%
+% \pgftransformcm{1}{0}{0}{1}{\pgfpoint{100pt}{0pt}} % 100pt to the right.
+%
+% \pgftransformcm{2}{0}{0}{2}{\pgfpointorigin} % double in in size
+% \pgfpathmoveto{\pgfpoint{0cm}{0cm}}
+% \pgfpathlineto{\pgflineto{1cm}{1cm}} % actually 2cm/2cm
+
+\def\pgftransformcm#1#2#3#4#5{%
+ \edef\pgf@marshal{\noexpand\pgf@transformcm{#1}{#2}{#3}{#4}}%
+ \pgf@marshal{#5}%
+}
+\def\pgf@transformcm#1#2#3#4#5{%
+ {%
+ \pgf@process{#5}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ %
+ \pgfmathsetlength\pgf@x{#1}%
+ \pgfmathsetlength\pgf@y{#2}%
+ %
+ \pgf@xa=\pgf@pt@aa\pgf@x%
+ \advance\pgf@xa by \pgf@pt@ba\pgf@y%
+ %
+ \pgf@ya=\pgf@pt@ab\pgf@x%
+ \advance\pgf@ya by \pgf@pt@bb\pgf@y%
+ %
+ \pgfmathsetlength\pgf@x{#3}%
+ \pgfmathsetlength\pgf@y{#4}%
+ %
+ \pgf@xb=\pgf@pt@aa\pgf@x%
+ \advance\pgf@xb by \pgf@pt@ba\pgf@y%
+ %
+ \pgf@yb=\pgf@pt@ab\pgf@x%
+ \advance\pgf@yb by \pgf@pt@bb\pgf@y%
+ %
+ \pgf@x=\pgf@pt@aa\pgf@xc%
+ \advance\pgf@x by\pgf@pt@ba\pgf@yc%
+ \advance\pgf@x by\pgf@pt@x%
+ %
+ \pgf@y=\pgf@pt@ab\pgf@xc%
+ \advance\pgf@y by\pgf@pt@bb\pgf@yc%
+ \advance\pgf@y by\pgf@pt@y%
+ %
+ \global\pgf@x=\pgf@x%
+ \global\pgf@y=\pgf@y%
+ \xdef\pgf@tempaa{\pgf@sys@tonumber{\pgf@xa}}%
+ \xdef\pgf@tempab{\pgf@sys@tonumber{\pgf@ya}}%
+ \xdef\pgf@tempba{\pgf@sys@tonumber{\pgf@xb}}%
+ \xdef\pgf@tempbb{\pgf@sys@tonumber{\pgf@yb}}%
+ }%
+ \pgf@pt@x=\pgf@x%
+ \pgf@pt@y=\pgf@y%
+ \let\pgf@pt@aa=\pgf@tempaa%
+ \let\pgf@pt@ba=\pgf@tempba%
+ \let\pgf@pt@ab=\pgf@tempab%
+ \let\pgf@pt@bb=\pgf@tempbb%
+ \edef\pgf@idtest{\pgf@pt@aa,\pgf@pt@ba,\pgf@pt@ab,\pgf@pt@bb}%
+ \ifx\pgf@idtest\pgf@idmatrixtext%
+ \pgf@pt@identitytrue%
+ \else%
+ \pgf@pt@identityfalse%
+ \fi%
+}
+
+
+% Add a pre-morph
+%
+% #1 = morphing code
+%
+% Description:
+%
+% This function adds code to the pre-morphing list. When a
+% coordinate is transformed, the current pre-morphing code is
+% called first. Then the transformation matrix is applied. Finally, all
+% post-morphing code is called. The morphing list is local to the
+% current TeX group.
+%
+% The job of the #1 macro is to modify the values of \pgf@x and
+% \pgf@y. It should not have any other sideeffects.
+%
+% Example:
+%
+% \pgfmorphaddmorph{\advance\pgf@x by 1cm\relax}
+
+\def\pgfmorphaddpre#1{\expandafter\def\expandafter\pgfmorph@prelist\expandafter{\pgfmorph@prelist#1}}
+\let\pgfmorph@prelist=\pgfutil@empty
+
+
+% Add a post-morph
+%
+% #1 = morphing macro
+%
+% Description:
+%
+% The only difference to the pre-morphs is that post morphs are
+% executed after the transformation matrix has been applied.
+
+\def\pgfmorphaddpost#1{\expandafter\def\expandafter\pgfmorph@postlist\expandafter{\pgfmorph@postlist#1}}
+\let\pgfmorph@postlist=\pgfutil@empty
+
+
+% Transformation into a given triangle. The three corners of the
+% triangle are called "origin", "x" and "y" are given. After this
+% transformation has been applied, the canvas origin is at "origin",
+% the vector (1pt,0pt) lies at "x" and the vector (0pt,1pt) lies at
+% "y".
+%
+% #1 = origin
+% #2 = x
+% #3 = y
+%
+% Example:
+%
+% \pgftransformtriangle{\pgfpointorigin}{\pgfpoint{1cm}{1cm}}{\pgfpoint{-1cm}{1cm}}
+
+\def\pgftransformtriangle#1#2#3{%
+ \pgf@process{#2}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{#3}%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \pgf@process{#1}%
+ \advance\pgf@xa by-\pgf@x%
+ \advance\pgf@ya by-\pgf@y%
+ \advance\pgf@xb by-\pgf@x%
+ \advance\pgf@yb by-\pgf@y%
+ \pgftransformcm%
+ {\pgf@sys@tonumber\pgf@xa}{\pgf@sys@tonumber\pgf@ya}%
+ {\pgf@sys@tonumber\pgf@xb}{\pgf@sys@tonumber\pgf@yb}%
+ {\pgfpoint{\pgf@x}{\pgf@y}}%
+}
+
+
+
+% Undo all transformations
+%
+% Example:
+%
+% \pgftansformreset
+
+\def\pgftransformreset{%
+ \pgf@pt@x=0pt%
+ \pgf@pt@y=0pt%
+ \def\pgf@pt@aa{1.0}%
+ \def\pgf@pt@ba{0.0}%
+ \def\pgf@pt@ab{0.0}%
+ \def\pgf@pt@bb{1.0}%
+ \pgf@pt@identitytrue%
+}
+
+
+% Undo all slanting/rotation, but not translations
+%
+% Example:
+%
+% \pgftansformreset
+
+\def\pgftransformresetnontranslations{%
+ \def\pgf@pt@aa{1.0}%
+ \def\pgf@pt@ba{0.0}%
+ \def\pgf@pt@ab{0.0}%
+ \def\pgf@pt@bb{1.0}%
+ \pgf@pt@identitytrue%
+}
+
+
+
+
+% Shifting command and environment
+%
+% #1 = vector by which all subsequent points should be moved.
+%
+% Example:
+%
+% \pgftansformshift{\pgfpoint{1cm}{1cm}}
+
+\def\pgftransformshift#1{\pgftransformcm{1.0}{0}{0}{1.0}{#1}}
+\def\pgftransformxshift#1{\pgftransformcm{1.0}{0}{0}{1.0}{\pgfpoint{#1}{0pt}}}
+\def\pgftransformyshift#1{\pgftransformcm{1.0}{0}{0}{1.0}{\pgfpoint{0pt}{#1}}}
+
+
+
+
+% Scaling commands
+%
+% #1 = scaling for all subsequent points.
+%
+% Example:
+%
+% \pgftransformscale{2}
+% \pgftransformxscale{2}
+% \pgftransformyscale{2}
+
+\def\pgftransformscale#1{\pgftransformcm{#1}{0}{0}{#1}{\pgfpointorigin}}
+\def\pgftransformxscale#1{\pgftransformcm{#1}{0}{0}{1.0}{\pgfpointorigin}}
+\def\pgftransformyscale#1{\pgftransformcm{1.0}{0}{0}{#1}{\pgfpointorigin}}
+
+
+
+% Slanting commands
+%
+% #1 = slanting in x-direction. 1 means 45 degrees.
+%
+% Example:
+%
+% \pgftransformxslant{2}
+% \pgftransformyslant{2}
+
+\def\pgftransformxslant#1{\pgftransformcm{1.0}{0}{#1}{1.0}{\pgfpointorigin}}
+\def\pgftransformyslant#1{\pgftransformcm{1.0}{#1}{0}{1.0}{\pgfpointorigin}}
+
+
+
+% Rotation commands
+%
+% #1 = degrees for the rotation
+%
+% Example:
+%
+% \pgftransformrotate{30}
+
+\def\pgftransformrotate#1{%
+ \pgfmathparse{#1}%
+ \let\pgftransform@angle=\pgfmathresult%
+ \pgfmathsin@{\pgftransform@angle}%
+ \let\pgftransform@sin=\pgfmathresult%
+ \pgfmathcos@{\pgftransform@angle}%
+ \let\pgftransform@cos=\pgfmathresult%
+ \pgf@x=\pgftransform@sin pt%
+ \pgf@xa=-\pgf@x%
+ \pgftransformcm{\pgftransform@cos}{\pgftransform@sin}{\pgf@sys@tonumber{\pgf@xa}}{\pgftransform@cos}{\pgfpointorigin}%
+}
+
+
+
+% The following if's have the following effect:
+%
+% \ifpgfslopedattime decides whether the coordinate system of an
+% xxxattime transformation command should be rotated such that text
+% drawn on the line should be tangent to the line
+%
+% \ifpgfallowupsidedowattime decides whether the transformation should
+% be done in such a way that the text is always ``upright,'' that is,
+% text drawn in this coordiante system is never upside-down.
+%
+% \ifpgfresetnontranslationattime decides whether the coordinate
+% system of an xxxattime transformation command should be reset
+% (concerning the non-translations) before a possible rotation is
+% applied. This is useful, for example, if the main coordinate system
+% is scaled by, say, a factor of 2 and you do not want that to apply
+% to the text, but you do want the rotation to applyu.
+
+\newif\ifpgfslopedattime
+\newif\ifpgfallowupsidedownattime
+\newif\ifpgfresetnontranslationattime
+
+
+% Transform to the coordinate system of a point on a line
+%
+% #1 = a time fraction of line where to put the label, where 0 means start,
+% 1 means end, and for example 0.5 means the middle.
+% #2 = start of line
+% #3 = end of line
+%
+% Example:
+%
+% {
+% \pgftransformlineattime{.5}{\pgfxy(0,0)}{\pgfxy(3,2)}
+% \pgftext{Hi!}
+% }
+%
+% {
+% \pgftransformlineattime{.75}{\pgfxy(0,0)}{\pgfxy(3,2)}
+% \pgftransformresetnontranslations
+% \pgftext{Hi!}
+% }
+%
+\def\pgftransformlineattime#1#2#3{%
+ \pgftransformshift{\pgfpointlineattime{#1}{#2}{#3}}%
+ \ifpgfresetnontranslationattime%
+ \pgftransformresetnontranslations%
+ \fi%
+ \ifpgfslopedattime%
+ \pgf@process{#2}%
+ \pgf@xa=\pgf@x% xb/yb = start point
+ \pgf@ya=\pgf@y%
+ \pgf@process{#3}%
+ \advance\pgf@x by-\pgf@xa%
+ \advance\pgf@y by-\pgf@ya%
+ \ifpgfallowupsidedownattime%
+ \else%
+ \ifdim\pgf@x<0pt%
+ \pgf@x=-\pgf@x%
+ \pgf@y=-\pgf@y%
+ \fi%
+ \fi%
+ \pgfpointnormalised{}% x/y = normalised vector
+ \pgf@ya=-\pgf@y%
+ \pgftransformcm%
+ {\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@y}}%
+ {\pgf@sys@tonumber{\pgf@ya}}{\pgf@sys@tonumber{\pgf@x}}{\pgfpointorigin}%
+ \fi%
+}
+
+
+
+
+% Transform to the coordinate system of a point on a curve
+%
+% #1 = a time fraction of line where to put the label, where 0 means start,
+% 1 means end, and for example 0.5 means the middle.
+% #2 = start of line
+% #3 = first control
+% #4 = second control
+% #5 = end of line
+%
+% Example:
+%
+% {
+% \pgftransformcurveattime{.5}{\pgfxy(0,0)}{\pgfxy(3,2)}
+% \pgftext{Hi!}
+% }
+%
+% {
+% \pgftransformcurveattime{.75}{\pgfxy(0,0)}{\pgfxy(3,2)}
+% \pgftransformresetnontranslations
+% \pgftext{Hi!}
+% }
+%
+\def\pgftransformcurveattime#1#2#3#4#5{%
+ \pgfpointcurveattime{#1}{#2}{#3}{#4}{#5}%
+ \pgftransformshift{\pgfqpoint{\pgf@x}{\pgf@y}}%
+ \ifpgfresetnontranslationattime%
+ \pgftransformresetnontranslations%
+ \fi%
+ \ifpgfslopedattime%
+ \pgf@x=\pgf@xa%
+ \pgf@y=\pgf@ya%
+ \advance\pgf@x by-\pgf@xb%
+ \advance\pgf@y by-\pgf@yb%
+ \ifpgfallowupsidedownattime%
+ \else%
+ \ifdim\pgf@x<0pt%
+ \pgf@x=-\pgf@x%
+ \pgf@y=-\pgf@y%
+ \fi%
+ \fi%
+ \pgfpointnormalised{}% x/y = normalised vector
+ \pgf@ya=-\pgf@y%
+ \pgftransformcm%
+ {\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@y}}%
+ {\pgf@sys@tonumber{\pgf@ya}}{\pgf@sys@tonumber{\pgf@x}}{\pgfpointorigin}%
+ \fi%
+}
+
+
+
+
+
+% Transform to the coordinate system of an arrow at the end of the
+% line going from point #1 to point #2 with the correct rotation.
+%
+% #1 = a start point an (invisible) line
+% #2 = an end point an (invisible) line
+%
+% Example:
+%
+% \pgftransformarrow{\pgfpointorigin}{\pgfpoint{1cm}{0cm}}
+
+\def\pgftransformarrow#1#2{%
+ \pgftransformshift{#2}%
+ \pgf@process{#2}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{#1}%
+ \advance\pgf@xa by-\pgf@x%
+ \advance\pgf@ya by-\pgf@y%
+ \pgf@x=\pgf@xa%
+ \pgf@y=\pgf@ya%
+ \pgfpointnormalised{}%
+ \pgf@ya=-\pgf@y%
+ \pgftransformcm%
+ {\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@y}}%
+ {\pgf@sys@tonumber{\pgf@ya}}{\pgf@sys@tonumber{\pgf@x}}{\pgfqpoint{0pt}{0pt}}%
+}
+
+
+
+% Low-level transformations
+
+% Causes the current high-level transformation command to be applied
+% to the low-level.
+%
+% Description:
+%
+% All subsequent drawing will be transformed additionally by the
+% current high-level transformation. Thus, the high-level
+% transformation becomes the low-level transformation. The high-level
+% transformation is reset at this point.
+
+\def\pgflowlevelsynccm{%
+ \pgfsys@transformcm%
+ {\pgf@pt@aa}{\pgf@pt@ab}%
+ {\pgf@pt@ba}{\pgf@pt@bb}%
+ {\pgf@pt@x}{\pgf@pt@y}%
+ \pgftransformreset%
+ \pgf@relevantforpicturesizefalse%
+}
+
+
+
+% Causes a transformation command to be applied to the ``lowlevel''
+% transformation matrix.
+%
+% #1 - a high-level transformation command
+%
+% Description:
+%
+% All subsequent drawing will be transformed additionally by the given
+% transformation matrix. Note that PGF will no longer be able to
+% ``keep track'' of the coordinates. Also, transformations are applied
+% to *everything*, including line thickness and line endings. Most
+% often, this is not desirable.
+%
+% Example:
+%
+% \pgflowlevel{\pgftransformcm{1}{0}{0}{1}{\pgfpoint{100pt}{0pt}}} % 100bp to the right.
+%
+% \begin{pgflowlevelscope}{\pgftransformcm{2}{0}{0}{2}{\pgfpointorigin}} % double in in size
+% \pgfmoveto{\pgfpoint{0cm}{0cm}}
+% \pgflineto{\pgflineto{1cm}{1cm}} % actually 2cm/2cm
+% \end{pgflowlevelscope}
+
+\def\pgflowlevel#1{%
+ {%
+ \pgftransformreset%
+ #1%
+ \pgflowlevelsynccm%
+ }%
+ \pgf@relevantforpicturesizefalse%
+}
+
+\def\pgflowlevelscope#1{\pgfscope\pgflowlevel{#1}}
+\def\endpgflowlevelscope{\endpgfscope}
+
+\long\def\pgflowlevelobj#1#2{\pgfscope{\pgflowlevel{#1}#2}\endpgfscope}
+
+
+
+
+\endinput