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% Copyright 2019 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{%
\expandafter\ifx\csname pgfmath@function@#1\endcsname\relax\else%
\pgfmath@error{The function `#1' already exists}{}%
\fi%
\pgfmath@declarefunction{#1}%
}
\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%
% was: \pgfmath@namedef{pgfmath#1@}{#2}% TT
\edef\pgf@marshal{\noexpand\pgfmathdeclarefunction*{#1}{\csname pgfmath@operation@#1@arity\endcsname}}%
\pgf@marshal{#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}%
}%
\pgfkeysvalueof{/pgf/declare function/execute at begin function}%
\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.
\pgfkeysvalueof{/pgf/declare function/execute at end function}%
\ifcase#3\relax%
\def#1{#2}%
\def\pgfmath@@head{\def#2}%
\or
\def#1##1{\pgfmathparse{##1}\expandafter#2\expandafter{\pgfmathresult}}%
\def\pgfmath@@head{\def#2####1}%
\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%
\fi%
\pgfmath@@head{#4}%
}
\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@=@;%
},
/pgf/declare function/execute at begin function/.initial={},
/pgf/declare function/execute at end function/.initial={},
/pgf/declare function/ignore spaces/.is choice,
/pgf/declare function/ignore spaces/.default=true,
/pgf/declare function/ignore spaces/true/.style={%
/pgf/declare function/execute at begin function={%
\begingroup
\catcode`\^^I=9\relax
\catcode`\ =9\relax
\catcode`\~=10\relax
\endlinechar=`\ \relax
},
/pgf/declare function/execute at end function={%
\endgroup
},
},
/pgf/declare function/ignore spaces/false/.style={%
/pgf/declare function/execute at begin function={},
/pgf/declare function/execute at end function={},
},
}
\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\pgfmathnotifynewdeclarefunction{\pgfmath@local@name}{\the\c@pgf@counta}%
{\the\pgfmath@toks}%
}%
\endgroup%
\pgfmath@local@temp%
}
% #1: the name
% #2: the number of arguments <n>
% #3: a math expression containing '#1', '#2', ... ,'#'<n>
% This callback is overwritten by pgflibraryluamath.
\def\pgfmathnotifynewdeclarefunction#1#2#3{%
\pgfmathdeclarefunction{#1}{#2}{\pgfmathparse{#3}}%
}%
\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
\input pgfmathfunctions.integerarithmetics.code.tex
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