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+% Copyright 2007 by Mark Wibrow
+%
+% 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.
+
+% Declare a function for the parser.
+%
+% #1 - the name of the function.
+% #2 - arity (or ... for variable arguments).
+% #3 - the code for the function.
+%
+% Use \pgfmathdeclarefunction* to force a redefinition if the function exists already.
+\def\pgfmathdeclarefunction{\pgfmath@ifnextchar*\pgfmathdeclarefunction@force\pgfmathdeclarefunction@check}
+\def\pgfmathdeclarefunction@check#1#2#3{%
+ \expandafter\ifx\csname pgfmath@function@#1\endcsname\relax%
+ \pgfmath@declarefunction{#1}{#2}{#3}%
+ \else%
+ \pgfmath@error{The function `#1' already exists}{}%
+ \fi%
+}
+\def\pgfmathdeclarefunction@force*{\pgfmath@declarefunction}%
+
+\def\pgfmathredeclarefunction#1#2{%
+ \expandafter\ifx\csname pgfmath@function@#1\endcsname\relax%
+ \pgfmath@error{The function `#1' does not exist}{}%
+ \else%
+ \pgfmath@namedef{pgfmath#1@}{#2}%
+ \fi%
+}
+
+\def\pgfmath@declarefunction#1#2{%
+ \pgfmath@namedef{pgfmath@function@#1}{#1}%
+ \pgfmath@namedef{pgfmath@operation@#1@type}{function}%
+ \pgfmath@namedef{pgfmath@operation@#1@arity}{#2}%
+ \pgfmath@namedef{pgfmath@operation@#1@infix}{#1}%
+ \pgfmath@namedef{pgfmath@operation@#1@precedence}{1000}%
+ \expandafter\ifx\csname pgfmath@operation@#1@arity\endcsname\pgfmath@dots%
+ \pgfmath@namedef{pgfmath@operation@#1@arity}{1}%
+ \else%
+ \ifnum\csname pgfmath@operation@#1@arity\endcsname>9\relax%
+ \pgfmath@namedef{pgfmath@operation@#1@arity}{1}%
+ \fi%
+ \fi%
+ \edef\pgfmath@marshal{%
+ \noexpand\pgfmath@@declarefunction%
+ {\expandafter\noexpand\csname pgfmath#1\endcsname}%
+ {\expandafter\noexpand\csname pgfmath#1@\endcsname}%
+ {\csname pgfmath@operation@#1@arity\endcsname}%
+ }%
+ \pgfmath@marshal%
+}
+
+% #1 - \pgfmath<name>.
+% #2 - \pgfmath<name>@.
+% #3 - arity.
+% #4 - code for function <name>.
+%
+\def\pgfmath@@declarefunction#1#2#3#4{% Function of arity 0 - 9.
+ \ifcase#3\relax%
+ \def#1{#2}%
+ \def#2{#4}%
+ \or
+ \def#1##1{\pgfmathparse{##1}\expandafter#2\expandafter{\pgfmathresult}}%
+ \def#2##1{#4}%
+ \else%
+ \pgfmath@toks={}%
+ \pgfmathloop%
+ \ifnum\pgfmathcounter>#3\relax%
+ \else%
+ \expandafter\pgfmath@addto@toks\expandafter{\pgfmath@char@hash}%
+ \expandafter\pgfmath@addto@toks\expandafter{\pgfmathcounter}%
+ \repeatpgfmathloop%
+ \edef\pgfmath@head{\noexpand\def\noexpand#1\the\pgfmath@toks}%
+ \edef\pgfmath@@head{\noexpand\def\noexpand#2\the\pgfmath@toks}%
+ \pgfmath@toks={}%
+ \def\pgfmath@arguments{}%
+ \pgfmathloop%
+ \ifnum\pgfmathcounter>#3\relax%
+ \else%
+ \pgfmath@addto@toks{\pgfmathparse}%
+ \expandafter\expandafter\expandafter\pgfmath@addto@toks%
+ \expandafter\expandafter\expandafter{\expandafter\expandafter\expandafter%
+ {\expandafter\pgfmath@char@hash\pgfmathcounter}}%
+ \pgfmath@addto@toks{\let}%
+ \expandafter\pgfmath@addto@toks\expandafter{%
+ \csname pgfmath@argument@\pgfmathcounter\endcsname=\pgfmathresult}%
+ \expandafter\expandafter\expandafter\def\expandafter\expandafter\expandafter%
+ \pgfmath@arguments\expandafter\expandafter\expandafter{\expandafter%
+ \pgfmath@arguments\expandafter{\csname pgfmath@argument@\pgfmathcounter\endcsname}}%
+ \repeatpgfmathloop%
+ \expandafter\pgfmath@addto@toks\expandafter{\expandafter#2\pgfmath@arguments}%
+ \edef\pgfmath@body{{\the\pgfmath@toks}}%
+ \expandafter\pgfmath@head\pgfmath@body%
+ \pgfmath@@head{#4}%
+ \fi%
+}
+
+\def\pgfmath@addto@toks#1{%
+ \edef\pgfmath@toks@expanded{\the\pgfmath@toks}%
+ \expandafter\pgfmath@toks\expandafter{\pgfmath@toks@expanded#1}}
+
+% Key for declaring local functions.
+%
+\pgfkeys{%
+ /pgf/declare function/.code={%
+ \pgfmath@local@functions#1@=@;%
+ }
+}
+
+\def\pgfmath@local@gobbleone#1{}
+\def\pgfmath@local@at{@}%
+
+\def\pgfmath@local@functions{%
+ \pgfutil@ifnextchar x{\pgfmath@local@@functions}{\pgfmath@local@@functions}%
+}
+
+\def\pgfmath@local@@functions#1=#2;{%
+ \def\pgfmath@local@temp{#1}%
+ \ifx\pgfmath@local@temp\pgfmath@local@at%
+ \let\pgfmath@local@next=\relax%
+ \else%
+ \pgfmath@local@function#1=#2;%
+ \let\pgfmath@local@next=\pgfmath@local@functions%
+ \fi%
+ \pgfmath@local@next%
+}
+
+\def\pgfmath@local@function{%
+ \let\pgfmath@local@name=\pgfutil@empty%
+ \let\pgfmath@local@args=\pgfutil@empty%
+ \let\pgfmath@local@body=\pgfutil@empty%
+ \pgfmath@local@@function}
+
+\def\pgfmath@local@@function#1{%
+ \if#1=%
+ \let\pgfmath@local@next=\pgfmath@local@function@body%
+ \else%
+ \if#1(%
+ \let\pgfmath@local@next=\pgfmath@local@function@args%
+ \else%
+ \expandafter\def\expandafter\pgfmath@local@name\expandafter{\pgfmath@local@name#1}%
+ \let\pgfmath@local@next=\pgfmath@local@@function%
+ \fi%
+ \fi%
+ \pgfmath@local@next%
+}
+
+\def\pgfmath@local@function@args#1){%
+ \def\pgfmath@local@args{#1}%
+ \pgfmath@local@@function}
+
+\def\pgfmath@local@function@body#1;{%
+ \def\pgfmath@local@body{#1}%
+ \begingroup%
+ \c@pgf@counta=0\relax%
+ \ifx\pgfmath@local@args\pgfmath@empty%
+ \expandafter\pgfmath@toks\expandafter=\expandafter{\pgfmath@local@body}%
+ \else%
+ \pgfmath@toks={}%
+ \expandafter\pgfmath@local@function@@body\pgfmath@local@args,,%
+ \fi%
+ \xdef\pgfmath@local@temp{%
+ \noexpand\pgfmathdeclarefunction{\pgfmath@local@name}{\the\c@pgf@counta}%
+ {\noexpand\pgfmathparse{\the\pgfmath@toks}}%
+ }%
+ \endgroup%
+ \pgfmath@local@temp%
+}
+
+\def\pgfmath@local@function@@body#1,{%
+ \def\pgfmath@local@test{#1}%
+ \ifx\pgfmath@local@test\pgfutil@empty%
+ \let\pgfmath@local@next=\relax%
+ \else%
+ \edef\pgfmath@local@var@string{@\expandafter\pgfmath@local@gobbleone\string#1}%
+ \advance\c@pgf@counta by1\relax%
+ \expandafter\expandafter\expandafter\pgfmath@toks\expandafter\expandafter\expandafter=%
+ \expandafter\expandafter\expandafter{\expandafter\pgfmath@char@hash\the\c@pgf@counta}%
+ \edef#1{\the\pgfmath@toks}%
+ \pgfmath@toks={}%
+ \expandafter\pgfmath@local@function@@@body\pgfmath@local@body @%
+ \edef\pgfmath@local@body{\the\pgfmath@toks}%
+ \let\pgfmath@local@next=\pgfmath@local@function@@body%
+ \fi%
+ \pgfmath@local@next%
+}
+
+\def\pgfmath@local@function@@@body{%
+ \pgfutil@ifnextchar\bgroup{\pgfmath@local@function@@@body@bgroup}%
+ {\pgfmath@local@function@@@body@nobgroup}}%
+
+\def\pgfmath@local@function@@@body@bgroup#1{%
+ \begingroup%
+ \pgfmath@toks={}%
+ \pgfmath@local@function@@@body#1 @%
+ \xdef\pgfmath@local@temp{{\the\pgfmath@toks}}%
+ \endgroup%
+ \expandafter\pgfmath@addto@toks\expandafter{\pgfmath@local@temp}%
+ \pgfmath@local@function@@@body%
+}
+
+\def\pgfmath@local@function@@@body@nobgroup#1{%
+ \ifx#1@%
+ \let\pgfmath@local@next=\relax%
+ \else%
+ \let\pgfmath@local@next=\pgfmath@local@function@@@body%
+ \edef\pgfmath@local@var@@string{@\expandafter\pgfmath@local@gobbleone\string#1}%
+ \ifx\pgfmath@local@var@@string\pgfmath@local@var@string%
+ \expandafter\pgfmath@addto@toks\expandafter{#1}%
+ \else%
+ \edef\pgfmath@local@temp{\the\pgfmath@toks}%
+ \pgfmath@toks={#1}%
+ \edef\pgfmath@local@@temp{\the\pgfmath@toks}%
+ \expandafter\pgfmath@toks\expandafter=\expandafter{\pgfmath@local@temp}%
+ \expandafter\pgfmath@addto@toks\expandafter{\pgfmath@local@@temp}%
+ \fi%
+ \fi%
+ \pgfmath@local@next%
+}
+
+% Allows to define 'x' as some \TeX command '#2'.
+\def\pgfmathdeclarepseudoconstant#1#2{%
+ \pgfmathdeclarefunction*{#1}{0}{#2}%
+}%
+% Redefines a pseudo constant '#1'.
+\def\pgfmathredeclarepseudoconstant#1#2{%
+ \pgfmathredeclarefunction{#1}{#2}%
+}%
+
+\input pgfmathfunctions.basic.code.tex
+\input pgfmathfunctions.trigonometric.code.tex
+\input pgfmathfunctions.random.code.tex
+\input pgfmathfunctions.comparison.code.tex
+\input pgfmathfunctions.base.code.tex
+\input pgfmathfunctions.round.code.tex
+\input pgfmathfunctions.misc.code.tex