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-rw-r--r--Master/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex583
1 files changed, 544 insertions, 39 deletions
diff --git a/Master/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex b/Master/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
index 46a62f31767..d31ddedfe26 100644
--- a/Master/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
+++ b/Master/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex
@@ -1,4 +1,4 @@
-% Copyright 2006 by Till Tantau
+% Copyright 2008 by Till Tantau and Mark Wibrow
%
% This file may be distributed and/or modified
%
@@ -7,23 +7,72 @@
%
% See the file doc/generic/pgf/licenses/LICENSE for more details.
-\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/utilities/pgffor.code.tex,v 1.8 2007/11/07 23:21:48 tantau Exp $
-
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/utilities/pgffor.code.tex,v 1.18 2010/03/23 14:47:45 vibrovski Exp $
\newdimen\pgffor@iter
\newdimen\pgffor@skip
\newif\ifpgffor@continue
+
\let\pgffor@beginhook=\pgfutil@empty
\let\pgffor@endhook=\pgfutil@empty
\let\pgffor@afterhook=\pgfutil@empty
+% Stack emulation
+%
+\newtoks\pgffor@stack
+\pgffor@stack={{}{}{}}
+
+\def\pgffor@stackpush#1{%
+ \def\pgffor@stacktemp{#1}%
+ \expandafter\expandafter\expandafter\pgffor@stack\expandafter\expandafter\expandafter=%
+ \expandafter\expandafter\expandafter{\expandafter\expandafter\expandafter%
+ {\expandafter\pgffor@stacktemp\expandafter}\the\pgffor@stack}%
+}
+
+\def\pgffor@stackpop{\expandafter\pgffor@@stackpop\the\pgffor@stack\pgffor@stackstop}
+\def\pgffor@@stackpop#1#2\pgffor@stackstop{\pgffor@stack{#2}#1}
+
\def\pgffor@emptyvalues{, \pgffor@stop,}%
-\def\foreach#1in{%
- \def\pgffor@var{#1}%
- \pgfutil@ifnextchar\bgroup{\pgffor@normal@list}{\pgffor@macro@list}}
+\def\pgffor@foreach{%
+ \pgffor@atbeginforeach%
+ \let\pgffor@assign@before@code=\pgfutil@empty%
+ \let\pgffor@assign@after@code=\pgfutil@empty%
+ \let\pgffor@assign@once@code=\pgfutil@empty%
+ \let\pgffor@remember@code=\pgfutil@empty%
+ \let\pgffor@remember@once@code=\pgfutil@empty%
+ \pgffor@alphabeticsequencefalse%
+ \pgffor@contextfalse%
+ %
+ \let\pgffor@var=\pgfutil@empty
+ %
+ \pgffor@vars%
+}
+
+\let\foreach=\pgffor@foreach
+
+\def\pgffor@vars{%
+ \pgfutil@ifnextchar i{\pgffor@@vars@end}{%
+ \pgfutil@ifnextchar[{\pgffor@@vars@opt}{%]
+ \pgfutil@ifnextchar/{\pgffor@@vars@slash@gobble}{%
+ \pgffor@@vars}}}}%
+
+\def\pgffor@@vars@end in{\pgfutil@ifnextchar\bgroup{\pgffor@normal@list}{\pgffor@macro@list}}
+\def\pgffor@@vars@opt[#1]{\pgfkeys{/pgf/foreach/.cd,#1}\pgffor@vars}
+\def\pgffor@@vars#1{\pgffor@var@add#1\pgffor@stop\pgffor@vars}
+\def\pgffor@@vars@slash@gobble/{\pgffor@@vars}
+
+\def\pgffor@var@add#1#2\pgffor@stop{%
+ \ifx\pgffor@var\pgfutil@empty%
+ \def\pgffor@var{#1}%
+ \def\pgffor@mainvar{#1}%
+ \else%
+ \expandafter\def\expandafter\pgffor@var\expandafter{\pgffor@var/#1}%
+ \fi%
+}
+
\def\pgffor@macro@list#1{%
\expandafter\pgffor@normal@list\expandafter{#1}}
\def\pgffor@normal@list#1{%
@@ -31,10 +80,9 @@
\ifx\pgffor@values\pgffor@emptyvalues
\def\pgffor@values{\pgffor@stop,}%
\fi%
- \let\pgffor@body\pgfutil@empty%
+ \let\pgffor@body=\pgfutil@empty%
\global\pgffor@continuetrue%
\pgffor@collectbody}
-
\def\pgffor@collectbody{%
\pgfutil@ifnextchar\foreach{\pgffor@collectforeach}{%
\pgfutil@ifnextchar\bgroup{\pgffor@collectargument}{\pgffor@collectsemicolon}}%
@@ -50,13 +98,18 @@
\expandafter\long\expandafter\def\expandafter\pgffor@body\expandafter{\pgffor@body\foreach#1in{#2}}%
\pgffor@collectbody%
}
-
\long\def\pgffor@collectargument#1{%
- \expandafter\long\expandafter\def\expandafter\pgffor@body\expandafter{\pgffor@body{#1}}%
+ \expandafter\pgfutil@in@\expandafter\foreach\expandafter{\pgffor@body}%
+ \ifpgfutil@in@%
+ \expandafter\long\expandafter\def\expandafter\pgffor@body\expandafter%
+ {\pgffor@body{#1}}%
+ \else%
+ \expandafter\long\expandafter\def\expandafter\pgffor@body\expandafter%
+ {\pgffor@body#1}%
+ \fi%
\pgffor@iterate%
}
-
\def\pgffor@collectsemicolon{%
\let\pgffor@next=\pgffor@collectnormalsemicolon%
\ifnum\the\catcode`\;=\active\relax%
@@ -77,12 +130,17 @@
\expandafter\long\expandafter\def\expandafter\pgffor@body\expandafter{\pgffor@body#1;}%
\pgffor@iterate%
}
-}
+}
\def\pgffor@iterate{%
- \let\pgffor@last\pgfutil@empty%
- \let\pgffor@prevlast\pgfutil@empty%
- \expandafter\pgffor@scan\pgffor@values}
+ % Must do all of these in case the internal stack is used.
+ \let\pgffor@last=\pgfutil@empty%
+ \let\pgffor@prevlast=\pgfutil@empty%
+ \let\pgffor@dotsend=\pgfutil@empty%
+ \let\pgffor@dots@pre=\pgfutil@empty%
+ \let\pgffor@dots@post=\pgfutil@empty%
+ %
+ \expandafter\pgffor@scan\pgffor@values}
\def\pgffor@stop{\pgffor@stop}%
\def\pgffor@dots{...}%
@@ -91,35 +149,54 @@
\def\pgffor@scanround(#1)#2,{\def\pgffor@value{(#1)}\pgffor@scanned}
\def\pgffor@scanone#1,{\def\pgffor@value{#1}\pgffor@scanned}
+
+% Check for dots.
+\newif\ifpgffor@dots@in@
+\def\pgffor@dots@in@#1...#2#3\pgffor@stop{%
+ \ifx\pgffor@dots@@#2%
+ \pgffor@dots@in@false%
+ \else%
+ \pgffor@dots@in@true%
+ \fi%
+}
+
+\def\pgffor@dots@@{\pgffor@dots@@}
+
\def\pgffor@scanned{%
\ifx\pgffor@value\pgffor@stop%
- \let\pgffor@next=\pgffor@after% done!
+ \let\pgffor@next=\pgffor@after% Done!
\else%
- \ifx\pgffor@value\pgffor@dots%
+ % Check for dots. Quicker than \pgfutil@in@ and not suceptable
+ % to false-positives when a token sequence ends in a single full-stop.
+ \expandafter\pgffor@dots@in@\pgffor@value\pgffor@dots@...\pgffor@dots@@\pgffor@stop%
+ \ifpgffor@dots@in@%
\let\pgffor@next=\pgffor@handledots%
\else%
\let\pgffor@next=\pgffor@handlevalue%
\fi%
\ifpgffor@continue%
\else%
- \let\pgffor@next=\pgffor@scan% done!
+ \let\pgffor@next=\pgffor@scan% Done!
\fi%
\fi%
\pgffor@next}
+
\def\pgffor@after{%
\global\pgffor@continuetrue%
+ \pgffor@atendforeach%
\pgffor@afterhook}
-
+
\def\pgffor@handlevalue{%
- \let\pgffor@prevlast\pgffor@last%
- \let\pgffor@last\pgffor@value%
+ \let\pgffor@prevlast=\pgffor@last%
+ \let\pgffor@last=\pgffor@value%
\pgffor@invokebody%
\pgffor@scan%
}
+
\def\pgffor@invokebody{%
- \begingroup%
+ \pgffor@begingroup%
\expandafter\pgfutil@in@\expandafter/\expandafter{\pgffor@var}%
\ifpgfutil@in@%
\expandafter\def\expandafter\pgffor@valuerest\expandafter{\pgffor@value//\relax}%
@@ -127,8 +204,25 @@
\else%
\expandafter\expandafter\expandafter\def\expandafter\pgffor@var\expandafter{\pgffor@value}%
\fi%
+ % Execute assign once code.
+ \ifx\pgffor@assign@once@code\pgfutil@empty%
+ \else%
+ \pgffor@assign@once@code%
+ \fi%
+ % Execute assign before code.
+ \ifx\pgffor@assign@before@code\pgfutil@empty%
+ \else%
+ \pgffor@assign@before@code%
+ \fi%
+ %
\expandafter\pgffor@beginhook\pgffor@body\pgffor@endhook%
- \endgroup%
+ % Execute assign after code.
+ \ifx\pgffor@assign@after@code\pgfutil@empty%
+ \else%
+ \pgffor@assign@after@code%
+ \fi%
+ %
+ \pgffor@endgroup%
}
@@ -145,27 +239,60 @@
\def\pgffor@multiassignrest{\expandafter\pgffor@multiassignfinal\pgffor@valuerest}
\def\pgffor@multiassignfinal#1/#2/\relax{%
+ \def\pgffor@temp{#1}%
+ \ifx\pgffor@currentvar\pgffor@mainvar%
+ \ifpgffor@alphabeticsequence%
+ \pgffor@makealphabetic\pgffor@temp%
+ \fi%
+ \fi%
\def\pgffor@test{#2}%
\ifx\pgffor@test\pgfutil@empty%
- \def\pgffor@valuerest{#1//\relax}% repeat
+ \expandafter\def\expandafter\pgffor@valuerest\expandafter{\pgffor@temp//\relax}% repeat
\else%
\def\pgffor@valuerest{#2/\relax}%
\fi%
- \expandafter\def\pgffor@currentvar{#1}%
+ \expandafter\expandafter\expandafter\def\expandafter\pgffor@currentvar\expandafter{\pgffor@temp}%
+ %
\expandafter\pgffor@multiassign\pgffor@rest/\relax%
-}
-
-
+}
+\def\pgffor@gobblespaces#1{\pgfutil@ifnextchar x{#1}{#1}}
\def\pgffor@handledots{%
- \ifx\pgffor@last\pgfutil@empty%
- \PackageError{pgffor}{``...'' not allowed without prior value}{}%
- \fi%
- \pgffor@dotsscanend%
+ \pgffor@gobblespaces{\expandafter\pgffor@@handledots\pgffor@value\pgffor@@stop}%
+}
+
+\newif\ifpgffor@context
+
+\def\pgffor@@handledots#1...#2\pgffor@@stop{%
+ % Define the context if any.
+ \def\pgffor@dots@pre{#1}%
+ \def\pgffor@dots@post{#2}%
+ \def\pgffor@dots@stripcontext#1##1#2\pgffor@@stop{\def\pgffor@dotsvalue{##1}}%
+ \pgffor@contexttrue%
+ \ifx\pgffor@dots@pre\pgfutil@empty%
+ \ifx\pgffor@dots@post\pgfutil@empty%
+ \pgffor@contextfalse%
+ \def\pgffor@dots@stripcontext##1\pgffor@@stop{\def\pgffor@dotsvalue{##1}}%
+ \fi%
+ \fi%
+ \pgffor@gobblespaces{\pgffor@dotsscanend}%
}
+
+\def\pgffor@dots@value@process#1{%
+ \expandafter\pgffor@dots@stripcontext#1\pgffor@@stop%
+ \expandafter\pgffor@dots@charcheck\pgffor@dotsvalue\pgffor@@stop%
+ \let#1=\pgffor@dotsvalue%
+}
+
\def\pgffor@dotsscanend#1,{%
- \def\pgffor@dotsend{#1}%
+ \pgffor@alphabeticsequencefalse%
+ % Strip context and check for a character sequence.
+ \def\pgffor@dotsend{#1}%
+ \pgffor@dots@value@process{\pgffor@dotsend}%
+ %
+ \pgffor@dots@value@process{\pgffor@last}%
+ %
% calculate skip%
\ifx\pgffor@prevlast\pgfutil@empty%
\ifdim\pgffor@dotsend pt>\pgffor@last pt%
@@ -174,6 +301,7 @@
\pgffor@skip=-1pt%
\fi%
\else%
+ \pgffor@dots@value@process{\pgffor@prevlast}%
\pgffor@skip=\pgffor@last pt%
\pgffor@iter=\pgffor@prevlast pt%
\advance\pgffor@skip by-\pgffor@iter%
@@ -197,19 +325,20 @@
\fi%
\ifpgffor@continue%
\else%
- \let\pgffor@next=\pgffor@endloop% done!
+ \let\pgffor@next=\pgffor@endloop% Done!
\fi%
\pgffor@next%
}
\def\pgffor@endloop{%
- \pgffor@scan%
+ \pgffor@alphabeticsequencefalse%
+ \pgffor@scan%
}
{\catcode`\p=12\catcode`\t=12\gdef\Pgffor@geT#1pt{#1}}
\def\pgffor@doloop{%
- \begingroup%
+ \pgffor@begingroup
\edef\pgffor@temp{\expandafter\Pgffor@geT\the\pgffor@iter}%
\edef\pgffor@incheck{{.0/}{\pgffor@temp/}}%
\expandafter\pgfutil@in@\pgffor@incheck%
@@ -221,16 +350,392 @@
\expandafter\def\expandafter\pgffor@valuerest\expandafter{\pgffor@temp//\relax}%
\expandafter\pgffor@multiassign\pgffor@var/\pgffor@stop/\pgffor@stop/\relax%
\else%
- \expandafter\expandafter\expandafter\def\expandafter\pgffor@var\expandafter{\pgffor@temp}%
+ % Convert to alphabetic sequence, if necessary.
+ \ifpgffor@alphabeticsequence%
+ \pgffor@makealphabetic\pgffor@temp%
+ \expandafter\let\pgffor@var=\pgffor@temp%
+ \else%
+ \expandafter\expandafter\expandafter\def\expandafter\pgffor@var\expandafter{\pgffor@temp}%
+ \fi%
\fi%
+ % Insert any context, if any.
+ \ifpgffor@context%
+ \let\pgffor@temp=\pgffor@dots@pre%
+ \expandafter\pgfutil@append@macrotomacro\expandafter%
+ {\expandafter\pgffor@temp\expandafter}\expandafter{\pgffor@var}%
+ \expandafter\pgfutil@append@macrotomacro\expandafter%
+ {\expandafter\pgffor@temp\expandafter}\expandafter{\pgffor@dots@post}%
+ \expandafter\let\pgffor@var=\pgffor@temp%
+ \fi%
+ % Perform assignments before loop body.
+ \ifx\pgffor@assign@before@code\pgfutil@empty%
+ \else%
+ \pgffor@assign@before@code%
+ \fi%
+ %
\expandafter\pgffor@beginhook\pgffor@body\pgffor@endhook%
- \endgroup%
+ %
+ % Perform assignments after loop body.
+ \ifx\pgffor@assign@after@code\pgfutil@empty%
+ \else%
+ \pgffor@assign@after@code%
+ \fi%
+ \pgffor@endgroup%
\pgffor@loop%
}
\def\pgffor@strip#1.0{\def\pgffor@temp{#1}}
-
\def\breakforeach{\global\pgffor@continuefalse}
+\def\pgffor@gobbletil@pgffor@@stop#1\pgffor@@stop{}
+
+
+\newif\ifpgffor@registeriscount
+
+\def\pgffor@ifcsregister#1{%
+ \expandafter\pgffor@@ifcsregister\meaning#1\pgffor@stop}
+
+\def\pgffor@@ifcsregister#1#2#3#4#5\pgffor@stop{%
+ \if#1m% It is an ordinary (m)acro.
+ \pgffor@registeriscountfalse%
+ \let\pgffor@csnext=\pgfutil@secondoftwo%
+ \else%
+ \if#1u% It is (u)ndefined.
+ \let\pgffor@csnext=\pgfutil@secondoftwo%
+ \pgffor@registeriscountfalse%
+ \else%
+ \let\pgffor@csnext=\pgfutil@firstoftwo%
+ \if#4u% It is a co(u)nt
+ \pgffor@registeriscounttrue%
+ \else% Assume it is a dimen or skip (bad assumption in the general case).
+ \pgffor@registeriscountfalse%
+ \let\pgffor@csnext=\pgfutil@firstoftwo%
+ \fi%
+ \fi%
+ \fi%
+ \pgffor@csnext}
+
+\newif\ifpgffor@alphabeticsequence
+
+%
+\def\pgffor@dots@charcheck#1\pgffor@@stop{%
+ \edef\pgffor@dots@charcheck@temp{#1}%
+ \expandafter\expandafter\expandafter\pgffor@@dotscharcheck\expandafter\meaning\pgffor@dots@charcheck@temp\pgffor@@stop%
+}
+\def\pgffor@@dotscharcheck#1#2\pgffor@@stop{%
+ \if#1t%
+ \afterassignment\pgffor@gobbletil@pgffor@@stop%
+ \expandafter\chardef\expandafter\pgffor@char\expandafter=\expandafter`\pgffor@dots@charcheck@temp\relax\pgffor@@stop%
+ \edef\pgffor@char{\the\pgffor@char}%
+ \ifnum\pgffor@char>64\relax% From A-Z?
+ \ifnum\pgffor@char<91\relax%
+ \let\pgffor@dotsvalue=\pgffor@char%
+ \pgffor@alphabeticsequencetrue%
+ \else%
+ \ifnum\pgffor@char>96\relax% From a-z?
+ \ifnum\pgffor@char<123\relax%
+ \let\pgffor@dotsvalue=\pgffor@char%
+ \pgffor@alphabeticsequencetrue%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+}
+
+\def\pgffor@makealphabetic#1{%
+ % Convert the number in the macro passed as #1 to a-z or A-Z.
+ \pgfutil@tempcnta=#1\relax%
+ \ifnum\pgfutil@tempcnta>95\relax%
+ \advance\pgfutil@tempcnta by-96%
+ \expandafter\def\expandafter#1\expandafter%
+ {\pgffor@alpha\pgfutil@tempcnta}%
+ \else%
+ \advance\pgfutil@tempcnta by-64%
+ \expandafter\def\expandafter#1\expandafter%
+ {\pgffor@Alpha\pgfutil@tempcnta}%
+ \fi%
+}
+
+\def\pgffor@Alpha#1{%
+ \ifcase#1\or A\or B\or C\or D\or E\or F\or G\or H\or I\or J\or K\or L\or M%
+ \or N\or O\or P\or Q\or R\or S\or T\or U\or V\or W\or X\or Y\or Z\else?\fi%
+}
+
+\def\pgffor@alpha#1{%
+ \ifcase#1\or a\or b\or c\or d\or e\or f\or g\or h\or i\or j\or k\or l\or m%
+ \or n\or o\or p\or q\or r\or s\or t\or u\or v\or w\or x\or y\or z\else?\fi%
+}
+
+\newtoks\pgffor@toks
+
+\def\pgffor@addcstotoks#1{%
+ \expandafter\def\expandafter\pgffor@tokstemp\expandafter{\expandafter\def\expandafter#1\expandafter{#1}}%
+ \pgffor@@addcstotoks}
+
+\def\pgffor@addregtotoks#1{%
+ \expandafter\def\expandafter\pgffor@tokstemp\expandafter{\expandafter#1\expandafter=\the#1}%
+ \pgffor@@addcstotoks}
+
+\def\pgffor@addiftotoks#1{%
+ \begingroup%
+ \escapechar=-1\relax%
+ \expandafter\pgffor@@addiftotoks\string#1\pgffor@stop}
+\def\pgffor@@addiftotoks#1#2#3#4#5\pgffor@stop{%
+ \endgroup
+ \csname if#4#5\endcsname%
+ \expandafter\def\expandafter\pgffor@tokstemp\expandafter{\csname#4#5true\endcsname}%
+ \else%
+ \expandafter\def\expandafter\pgffor@tokstemp\expandafter{\csname#4#5false\endcsname}%
+ \fi%
+ \pgffor@@addcstotoks%
+}
+
+\def\pgffor@@addcstotoks{%
+ \expandafter\expandafter\expandafter\pgffor@toks\expandafter\expandafter\expandafter=%
+ \expandafter\expandafter\expandafter{\expandafter\pgffor@tokstemp\the\pgffor@toks}%
+}
+
+% Set up the pgffor scopes.
+
+\def\pgffor@atbeginforeach{%
+ \begingroup%
+}
+
+\def\pgffor@atendforeach{%
+ \global\edef\pgffor@remember@expanded{\pgffor@remember@code}%
+ \endgroup%
+ \ifx\pgffor@remember@expanded\pgfutil@empty%
+ \else%
+ \pgffor@remember@expanded%
+ \global\let\pgffor@remember@expanded=\pgfutil@empty%
+ \fi%
+}
+\def\pgffor@default@begingroup{%
+ \begingroup%
+}
+
+\let\pgffor@remember@once@expanded=\pgfutil@empty
+\let\pgffor@remember@expanded=\pgfutil@empty
+
+\def\pgffor@default@endgroup{%
+ \ifx\pgffor@assign@once@code\pgfutil@empty%
+ \else%
+ \global\edef\pgffor@remember@once@expanded{\pgffor@remember@once@code}%
+ \fi%
+ \ifx\pgffor@remember@code\pgfutil@empty%
+ \else%
+ \global\edef\pgffor@remember@expanded{\pgffor@remember@code}%
+ \fi%
+ \endgroup%
+ %
+ \ifx\pgffor@remember@once@expanded\pgfutil@empty%
+ \else%
+ \pgffor@remember@once@expanded%
+ \let\pgffor@assign@once@code=\pgfutil@empty%
+ \global\let\pgffor@remember@once@expanded=\pgfutil@empty%
+ \fi%
+ %
+ \ifx\pgffor@remember@expanded\pgfutil@empty%
+ \else%
+ \pgffor@remember@expanded%
+ \global\let\pgffor@remember@expanded=\pgfutil@empty%
+ \fi%
+}
+
+\let\pgffor@begingroup=\pgffor@default@begingroup
+\let\pgffor@endgroup=\pgffor@default@endgroup
+
+
+\def\pgffor@stack@begingroup{%
+ \pgffor@toks={}%
+ \pgffor@addcstotoks{\pgffor@mainvar}%
+ \pgffor@addcstotoks{\pgffor@var}%
+ \pgffor@addcstotoks{\pgffor@body}%
+ %
+ \pgffor@addcstotoks{\pgffor@last}%
+ \pgffor@addcstotoks{\pgffor@prevlast}%
+ \pgffor@addcstotoks{\pgffor@dotsend}%
+ %
+ \pgffor@addcstotoks{\pgffor@assign@before@code}%
+ \pgffor@addcstotoks{\pgffor@assign@after@code}%
+ \pgffor@addcstotoks{\pgffor@remember@code}%
+ \pgffor@addcstotoks{\pgffor@remember@once@code}%
+ \pgffor@addcstotoks{\pgffor@dots@pre}%
+ \pgffor@addcstotoks{\pgffor@dots@post}%
+ %
+ \pgffor@addregtotoks{\pgffor@iter}%
+ \pgffor@addregtotoks{\pgffor@skip}%
+ %
+ \pgffor@addiftotoks{\ifpgffor@alphabeticsequence}%
+ \pgffor@addiftotoks{\ifpgffor@context}%
+ \expandafter\pgffor@stackpush\expandafter{\the\pgffor@toks}%
+}
+
+\def\pgffor@stack@endgroup{\pgffor@stackpop}
+
+% Keys stuff.
+
+\newif\ifpgffor@assign@evaluate
+\newif\ifpgffor@assign@once
+
+\pgfkeys{/pgf/foreach/.cd,
+ var/.code=\pgffor@var@add#1\pgffor@stop,
+ scope iterations/.code={
+ \csname if#1\endcsname%
+ \let\pgffor@begingroup=\pgffor@default@begingroup%
+ \let\pgffor@endgroup=\pgffor@default@endgroup%
+ \else%
+ \let\pgffor@begingroup=\pgffor@stack@begingroup%
+ \let\pgffor@endgroup=\pgffor@stack@endgroup%
+ \fi%
+ },
+ evaluate/.code=\pgffor@assign@evaluatetrue\pgffor@assign@oncefalse\pgffor@assign@parse{#1},%
+ assign/.code=\pgffor@assign@evaluatefalse\pgffor@assign@oncefalse\pgffor@assign@parse{#1},%
+ evaluate once/.code=\pgffor@assign@evaluatetrue\pgffor@assign@oncetrue\pgffor@assign@parse{#1},%
+ assign once/.code=\pgffor@assign@evaluatefalse\pgffor@assign@oncetrue\pgffor@assign@parse{#1},%
+ remember/.code=\pgffor@remember@parse{#1},%
+ count/.code=\pgffor@count@parse#1\pgffor@stop
+}
+
+\def\pgffor@assign@parse#1{%
+ \pgfutil@in@;{#1}%
+ \ifpgfutil@in@%
+ \else%
+ \pgfutil@in@={#1}%
+ \fi%
+ \ifpgfutil@in@%
+ \pgffor@assign@@parse#1;\pgffor@stop;%
+ \else%
+ \pgffor@assign@parse@old#1\pgffor@stop%%
+ \fi%
+}
+
+\def\pgffor@stop{\pgffor@stop}
+\def\pgffor@assign@@parse#1;{%
+ \def\pgffor@test{#1}%
+ \ifx\pgffor@test\pgffor@stop%
+ \let\pgffor@next=\relax%
+ \else%
+ \let\pgffor@next=\pgffor@assign@@parse%
+ \ifx\pgffor@test\pgfutil@empty%
+ \else%
+ \pgfutil@in@={#1}%
+ \ifpgfutil@in@%
+ \pgffor@assign@@@parse#1\pgffor@stop%
+ \else%
+ \pgffor@assign@@@parse#1=#1\pgffor@stop%
+ \fi%
+ \fi%
+ \fi%
+ \pgffor@next}
+
+\def\pgffor@assign@@@parse#1=#2\pgffor@stop{%
+ \ifpgffor@assign@evaluate%
+ \ifpgffor@assign@once%
+ \pgfutil@append@tomacro{\pgffor@assign@once@code}{\pgfmathparse{#2}\let#1=\pgfmathresult}%
+ \pgfutil@append@tomacro{\pgffor@remember@once@code}{\noexpand\def\noexpand#1{#2}}%
+ \else
+ \pgfutil@append@tomacro{\pgffor@assign@before@code}{\pgfmathparse{#2}\let#1=\pgfmathresult}%
+ \fi%
+ \else%
+ \ifpgffor@assign@once%
+ \pgfutil@append@tomacro{\pgffor@assign@once@code}{\def#1{#2}}%
+ \pgfutil@append@tomacro{\pgffor@remember@once@code}{\noexpand\def\noexpand#1{#2}}%
+ \else
+ \pgfutil@append@tomacro{\pgffor@assign@before@code}{\def#1{#2}}%
+ \fi%
+ \fi%
+}
+
+\def\pgffor@assign@parse@old#1#2\pgffor@stop{%
+ \pgffor@assign@@parse@old#2\pgffor@stop as#1using #1\pgffor@@stop}
+
+\def\pgffor@assign@@parse@old#1as#2#3\pgffor@@stop{%
+ \pgffor@assign@@@parse@old{#2}#1#3\pgffor@stop\pgffor@@stop}
+
+\def\pgffor@assign@@@parse@old#1#2using #3\pgffor@stop#4\pgffor@@stop{%
+ \pgffor@assign@@@parse#1=#3\pgffor@stop}
+
+
+
+\def\pgffor@remember@parse#1{%
+ \pgfutil@in@ a{#1}% This matches the 'a' in 'as' or 'intially'.
+ \ifpgfutil@in@%
+ \pgffor@remember@parse@old#1\pgffor@stop%
+ \else%
+ \pgffor@remember@@parse#1;\pgffor@stop;%
+ \fi%
+}
+
+\def\pgffor@remember@@parse#1;{%
+ \def\pgffor@test{#1}%
+ \ifx\pgffor@test\pgffor@stop%
+ \let\pgffor@next=\relax%
+ \else%
+ \let\pgffor@next=\pgffor@remember@@parse%
+ \ifx\pgffor@test\pgfutil@empty%
+ \else%
+ \pgfutil@in@={#1}%
+ \ifpgfutil@in@%
+ \pgffor@remember@@@parse#1\pgffor@stop%
+ \else%
+ \pgffor@ifcsregister{#1}{%
+ \pgfutil@append@tomacro{\pgffor@remember@code}{\noexpand#1=\the#1\noexpand\relax}%
+ }%
+ {%
+ \pgfutil@append@tomacro{\pgffor@remember@code}{\noexpand\def\noexpand#1{#1}}%
+ }%
+ \fi%
+ \fi%
+ \fi%
+ \pgffor@next%
+}
+
+\def\pgffor@remember@@@parse#1=#2\pgffor@stop{%
+ \pgffor@ifcsregister{#2}{%
+ \pgfutil@append@tomacro{\pgffor@assign@after@code}{\expandafter\def\expandafter#1\expandafter{\the#2}}%
+ \pgfutil@append@tomacro{\pgffor@remember@code}{\noexpand\def\noexpand#1{#1}}%
+ }%
+ {%
+ \pgfutil@append@tomacro{\pgffor@assign@after@code}{\expandafter\def\expandafter#1\expandafter{#2}}%
+ \pgfutil@append@tomacro{\pgffor@remember@code}{\noexpand\def\noexpand#1{#1}}%
+ }%
+}
+
+\def\pgffor@remember@parse@old#1#2\pgffor@stop{%
+ \pgffor@remember@@parse@old#1#2\pgffor@stop as#1(initially )\pgffor@@stop}
+
+\def\pgffor@remember@@parse@old#1#2as#3#4\pgffor@@stop{%
+ \pgffor@remember@@@parse@old{#1}{#3}#2#4\pgffor@stop\pgffor@@stop}
+
+\def\pgffor@remember@@@parse@old#1#2#3(initially #4)#5\pgffor@stop#6\pgffor@@stop{%
+ \pgfutil@append@tomacro{\pgffor@assign@after@code}{\edef#2{#1}}%
+ \pgfutil@append@tomacro{\pgffor@remember@code}{\noexpand\def\noexpand#2{#2}}%
+ \def\pgffor@test{#4}%
+ \ifx\pgffor@test\pgfutil@empty%
+ \else%
+ \pgfutil@append@tomacro{\pgffor@assign@once@code}{\def#2{#4}}%
+ \fi%
+}
+
+\def\pgffor@count@parse#1#2\pgffor@stop{%
+ \pgffor@count@@parse#1#2\pgffor@stop from 1\pgffor@stop\pgffor@@stop}
+
+\def\pgffor@count@@parse#1#2from#3\pgffor@stop#4\pgffor@@stop{%
+ \pgfutil@append@tomacro\pgffor@remember@code{\noexpand\def\noexpand#1{#1}}%
+ \pgfutil@append@tomacro\pgffor@assign@before@code{\pgfmathparse{int(#1+1)}\let#1=\pgfmathresult}%
+ \pgfmathparse{int(#3-1)}\let#1=\pgfmathresult%
+}
+
+
+\def\pgfutil@append@macrotomacro#1#2{%
+ \expandafter\expandafter\expandafter\def\expandafter\expandafter\expandafter%
+ #1\expandafter\expandafter\expandafter{\expandafter#1#2}}
+
+\def\pgfutil@append@tomacro#1#2{%
+ \expandafter\def\expandafter#1\expandafter{#1#2}}
+
+
\endinput