| Current File : //usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex |
\newdimen\pgfmath@dimen
\newcount\pgfmath@count
\newbox\pgfmath@box
\newtoks\pgfmath@toks
\newif\ifpgfmath@quickparse
\newif\ifpgfmathfloat
\newif\ifpgfmathunitsdeclared
\newif\ifpgfmathmathunitsdeclared
\newif\ifpgfmathignoreunitscale
\let\pgfmath@protected@edef=\edef
\ifcsname protected@edef\endcsname
\let\pgfmath@protected@edef=\protected@edef
\fi
\def\pgfmathprint#1{\pgfmathparse{#1}\pgfmathresult}
\def\pgfmathparse{%
\begingroup
\pgfmath@catcodes
\pgfmath@quickparsefalse
% Test for the fpu library
\ifpgfmathfloat
\let\pgfmath@parse@next=\pgfmathfloatparsenumber
\else
\let\pgfmath@parse@next=\pgfmathparse@
\fi
\pgfmath@parse@next}
\def\pgfmath@catcodes{% Maybe unnecessary.
\catcode`\==12 %
\catcode`\,=12 %
\catcode`\|=12 %
\catcode`\&=12 %
}
\def\pgfmathqparse{%
\begingroup
\pgfmath@catcodes
\pgfmath@quickparsetrue
\pgfmathparse@}
\def\pgfmathparse@#1{%
% No (math) units yet.
\global\pgfmathunitsdeclaredfalse
\global\pgfmathmathunitsdeclaredfalse
% Expand expression so any remaining CSs are registers
% or box dimensions (i.e. |\wd|, |\ht|, |\dp|).
\pgfmath@protected@edef\pgfmath@expression{#1}%
%
\expandafter\pgfmathparse@trynumber@loop\pgfmath@expression\pgfmath@parse@stop
%
% this here is the _real_ parser. it is invoked by
% \pgfmathparse@trynumber@loop if that says "this is no number"
%\pgfmathparse@@\pgfmath@parse@stop%
}
\def\pgfmath@parse@stop{\pgfmath@parse@stop}% equals only itself
\def\pgfmathparse@trynumber@token{numeric}
\begingroup
\def\\{\global\let\pgf@let@space@token= } \\ % now, \pgf@let@space@token is a space token
\endgroup
% This a "fast-lane": if the expressions consist merely of number
% tokens, we can simply return the number as-is.
%
% This is significantly faster and should resemble the 80% use-case.
%
% #1 a single token
\def\pgfmathparse@trynumber@loop{%
\futurelet\pgfmath@token@let\pgfmathparse@trynumber@loop@
}%
\def\pgfmathparse@trynumber@loop@#1{%
\ifx\pgfmath@token@let\pgf@let@space@token
% Hm. we found a white space... and we have no support for
% trimming. That means we have to assume that the white space
% occurred somewhere in the middle - and fall back to the
% expensive method.
\def\pgfmath@parse@next{\pgfmathparse@@#1}%
\else
\ifx\pgfmath@token@let\bgroup%
% oh! We found '{' #1.
% Well, these braces appear to be special; fall back to
% the complicated routine...
\let\pgfmath@parse@next=\pgfmathparse@@
\else
\ifx\pgfmath@token@let\pgfmath@parse@stop
% Ah: we have passed the check! The expression consists only
% of 0123456789. , so do not parse anything and return it
% as-is!
\let\pgfmath@parse@next=\pgfmathparse@expression@is@number
\else
\expandafter\ifx\csname pgfmath@token@\pgfmathparse@trynumber@token @\string#1\endcsname\relax%
% hm. It is none of 0123456789.
\let\pgfmath@parse@next=\pgfmathparse@@
\else
% continue... we only found one of 0123456789. so
% far...
\let\pgfmath@parse@next=\pgfmathparse@trynumber@loop
\fi
\fi
\fi
\fi
\pgfmath@parse@next
}%
\def\pgfmathparse@expression@is@number{%
\let\pgfmathresult=\pgfmath@expression
\pgfmath@smuggleone\pgfmathresult%
\endgroup
\ignorespaces
}%
\def\pgfmathparse@@#1\pgfmath@parse@stop{%
% We are inside a group (opened in |\pgfmathparse| or
% |\pgfmathqparse|).
% Stuff for calc compatibility.
\let\real=\pgfmath@calc@real
\let\minof=\pgfmath@calc@minof
\let\maxof=\pgfmath@calc@maxof
\let\ratio=\pgfmath@calc@ratio
\let\widthof=\pgfmath@calc@widthof
\let\heightof=\pgfmath@calc@heightof
\let\depthof=\pgfmath@calc@depthof
% Restore font (defined in pgfmathutil.code.tex)
\pgfmath@selectfont
% Set up stack.
\pgfmath@stack@operation={{}{}{}}%
\pgfmath@stack@operand={{}{}{}}%
\let\pgfmath@stack@operation@top=\pgfmath@stack@empty
\let\pgfmath@stack@operand@top=\pgfmath@stack@empty
% An expression always begins with an operand.
\expandafter\pgfmath@bgroup@strip\expandafter{\pgfmath@expression}%
% |\pgfmath@bgroup@stripped| is the result of
% |\pgfmath@bgroup@strip|
\expandafter\pgfmath@parse@@operand\pgfmath@bgroup@stripped @@@@\pgfmath@parse@stop%
}
\def\pgfmath@parse@end#1\pgfmath@parse@stop{%
\pgfmathpostparse
\pgfmath@smuggleone\pgfmathresult%
\endgroup
\ignorespaces}
\let\pgfmathpostparse=\relax
% For compatibility with older version.
%
\def\pgfmathscaleresult{%
\ifpgfmathunitsdeclared
\else
\ifpgfmathignoreunitscale
\else
\afterassignment\pgfmath@gobbletilpgfmath@%
\pgfmath@x\pgfmathresultunitscale pt\relax\pgfmath@%
\expandafter\pgfmath@x\pgfmathresult\pgfmath@x%
\edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@x}}%
\fi
\fi
}
\def\pgfmathsetresultunitscale#1{\def\pgfmathresultunitscale{#1}}
\def\pgfmathresultunitscale{1}
% A utility function which evaluates expression '#1' and invokes '#2'
% if the expression is true and '#3' if it is false.
\def\pgfmathifexpression#1#2#3{%
\pgfmathparse{#1}%
\pgfmath@iftrue{#2}{#3}%
}%
% Executes '#1' if \pgfmathresult is 'true', '#2' otherwise.
% WARNING : overwritten in fpu lib!
\def\pgfmath@iftrue{%
\ifdim\pgfmathresult pt=1.0pt %
\let\pgfmath@next=\pgfutil@firstoftwo
\else
\let\pgfmath@next=\pgfutil@secondoftwo
\fi
\pgfmath@next%
}%
% Stuff for computability with the calc package.
%
\def\pgfmath@calc@real#1{#1}
\def\pgfmath@calc@minof#1#2{min(#1,#2)}
\def\pgfmath@calc@maxof#1#2{max(#1,#2)}
\def\pgfmath@calc@ratio#1#2{#1/#2}
\def\pgfmath@calc@widthof#1{width("#1")}
\def\pgfmath@calc@heightof#1{height("#1")}
\def\pgfmath@calc@depthof#1{depth("#1")}
\def\pgfmath@bgroup{\string\pgfmath@bgroup}
\def\pgfmath@egroup{\string\pgfmath@egroup}
\def\pgfmath@egroup@token{\pgfmath@egroup}
\def\pgfmath@text@@{@}
\def\pgfmath@text@operator{operator}
\def\pgfmath@text@function{function}
\def\pgfmath@dots{...}
\def\pgfmath@char@zero{0}
\def\pgfmath@char@quote{"}
\def\pgfmath@char@exclamation{!}
\def\pgfmath@char@plus{+}
\def\pgfmath@char@minus{-}
\def\pgfmath@char@period{.}
\def\pgfmath@char@leftangle{<}
\def\pgfmath@char@leftbracket{[}
\pgfmath@toks={#}
\edef\pgfmath@char@hash{\the\pgfmath@toks}
\def\pgfmath@tokens@make#1#2{%
% Defines for each token or balanced text in |#2| a control sequence
% |\pgfmath@token@<#1>@\string<one token from #2>| and stores |#2|
% in it.
\def\pgfmath@prefix{#1}%
% Note the empty group |{}| at the end that ends the loop in
% |\pgfmath@token@@make|.
\expandafter\pgfmath@tokens@@make#2{}}
\def\pgfmath@tokens@@make#1{%
\def\pgfmath@token{#1}%
\ifx\pgfmath@token\pgfmath@empty
% End of loop: all tokens or balanced texts were parsed.
\else
\pgfmath@namedef{pgfmath@token@\pgfmath@prefix @\string#1}{#1}%
\expandafter\pgfmath@tokens@@make%
\fi}
\pgfmath@tokens@make{box}{\wd\ht\dp}
\ifx\dimexpr\@undefined\else % needed for classic tex
\pgfmath@tokens@make{dimexpr}{\dimexpr\glueexpr}
\fi
\pgfmath@tokens@make{unit}{{bp}{cc}{cm}{dd}{em}{ex}{in}{mm}{pc}{pt}{sp}}
\ifx\pdftexversion\@undefined\else % for pdfTeX
\pgfmath@tokens@make{unit}{{nc}{nd}{px}}
\fi
\ifx\directlua\@undefined\else % for LuaTeX
\pgfmath@tokens@make{unit}{{nc}{nd}{px}}
\fi
\ifx\kanjiskip\@undefined\else % for pTeX, upTeX
\pgfmath@tokens@make{unit}{{H}{Q}{zh}{zw}}
\fi
%
\pgfmath@tokens@make{mathunit}{{mu}}
\pgfmath@tokens@make{numeric}{.0123456789}
\pgfmath@tokens@make{number}{0123456789}
\pgfmath@tokens@make{functional}{_abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ}
\pgfmath@tokens@make{exponent}{eE}
\pgfmath@tokens@make{group}{{()}{[]}{\pgfmath@bgroup\pgfmath@egroup}}
\pgfmath@tokens@make{specials}{@)]\pgfmath@egroup}
\pgfmath@tokens@make{hexadecimal}{0123456789ABCDEFabcdef}
\pgfmath@tokens@make{octal}{01234567}
\pgfmath@tokens@make{binary}{01}
\pgfmath@namedef{pgfmath@base@0x}{16}
\pgfmath@namedef{pgfmath@base@0X}{16}
\pgfmath@namedef{pgfmath@base@0b}{2}
\pgfmath@namedef{pgfmath@base@0B}{2}
% Determine if a register is a count or a dimension/skip register.
\newif\ifpgfmath@dimen@
\def\pgfmath@dimen@#1{%
\begingroup
\afterassignment\pgfmath@dimen@@%
#1=0.0pt\relax\pgfmath@}
\def\pgfmath@dimen@@#1#2\pgfmath@{%
\endgroup
\ifx#1.%
\pgfmath@dimen@false
\else
\pgfmath@dimen@true
\fi}
\def\pgfmath@parse@ifbgroup#1#2{%
\let\pgfmath@parse@bgroup@after=#1%
\let\pgfmath@parse@nobgroup@after=#2%
\futurelet\pgfmath@token@let%
\pgfmath@parse@@ifbgroup}
\def\pgfmath@parse@@ifbgroup{%
\ifx\pgfmath@token@let\bgroup
\let\pgfmath@parse@next=\pgfmath@parse@@@ifbgroup
\else
% |\pgfmath@sptoken| defined in \file{pgfmathutil.code.tex}.
\ifx\pgfmath@token@let\pgfmath@sptoken
\let\pgfmath@parse@next=\pgfmath@parse@@@@ifbgroup
\else
\let\pgfmath@parse@next=\pgfmath@parse@nobgroup@after
\fi
\fi
\pgfmath@parse@next}
% TT: If false, octal parsing is switched off (needed for time parsing)
\newif\ifpgfmath@octalparsing
\pgfmath@octalparsingtrue
% I (CJ) *think* it replaces |{| and |}| by |\pgfmath@bgroup| and
% |\pgfmath@egroup|?
\def\pgfmath@parse@@@ifbgroup#1{%
\pgfmath@parse@bgroup@after\pgfmath@bgroup#1\pgfmath@egroup}
{
\def\:{\pgfmath@parse@@@@ifbgroup}
\expandafter\gdef\: {\futurelet\pgfmath@token@let\pgfmath@parse@@ifbgroup}
}
% Parse an operand.
\def\pgfmath@parse@operand{%
\expandafter\pgfmath@parse@@operand\pgfmath@token@next}
% This is the entry point for the parser. It is called at the end of
% |\pgfmathparse@| with the following syntax
% |\expandafter\pgfmath@parse@@operand\pgfmath@bgroup@stripped
% @@@@\pgfmath@parse@stop|.
% Note: we are inside a group.
\def\pgfmath@parse@@operand{%
\pgfmath@parse@ifbgroup{\pgfmath@parse@@operand}{\pgfmath@parse@@operand@}}
% An operand is
% * |+| (unary plus),
% * |-| (unary minus),
% * a prefix operator
\def\pgfmath@parse@@operand@#1{%
\def\pgfmath@token{#1}%
\ifx\pgfmath@token\pgfmath@char@plus
% Unary (prefix) plus
\let\pgfmath@parse@next=\pgfmath@parse@@operand%
\else
\ifx\pgfmath@token\pgfmath@char@minus
% Unary (prefix) minus
\pgfmath@stack@push@operation{neg}%
\let\pgfmath@parse@next=\pgfmath@parse@@operand
\else
% See |\pgfmathdeclareoperator| (below). Note that |+| and |-|
% that are also declared as operators have been tested before so
% they should never be parsed as binary (infix) operator at this stage.
\expandafter\ifx\csname pgfmath@operation@\expandafter\string\pgfmath@token @prefix\endcsname\pgfmath@token
\let\pgfmath@parse@next=\pgfmath@parse@prefix@operator
\else
\ifpgfmath@quickparse
\let\pgfmath@parse@next=\pgfmath@qparse@operand
\else
\let\pgfmath@number=\pgfmath@empty
\expandafter\ifx\csname pgfmath@token@functional@\string#1\endcsname\relax%
\let\pgfmath@base=\pgfmath@empty%
\let\pgfmath@token@next=\pgfmath@token%
\if#10% Check for octal prefix.
\ifpgfmath@octalparsing%
\def\pgfmath@base{8}%
\fi%
\fi%
\let\pgfmath@parse@next=\pgfmath@parse@number%
\else%
\let\pgfmath@function=\pgfmath@token%
\let\pgfmath@parse@next=\pgfmath@parse@function%
\fi%
\fi%
\fi%
\fi%
\fi%
\pgfmath@parse@next%
}
% Parse prefix operators.
%
\def\pgfmath@parse@prefix@operator{%
\ifx\pgfmath@token\pgfmath@char@quote% Quote character.
\let\pgfmath@parse@next=\pgfmath@parse@operand@quote%
\else%
\ifx\pgfmath@token\pgfmath@char@exclamation% Prefix !.
\pgfmath@stack@push@operation{not}%
\let\pgfmath@parse@next=\pgfmath@parse@@operand%
\else% Anything else, just push and hope.
\expandafter\pgfmath@stack@push@operation\expandafter{\pgfmath@token}%
\let\pgfmath@parse@next=\pgfmath@parse@@operand%
\fi%
\fi%
\pgfmath@parse@next%
}%
% Quote part of an expression.
%
\def\pgfmath@parse@operand@quote#1"{%
\def\pgfmathresult{#1}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\pgfmath@parse@@operator%
}
% Quick operand parsing. Should always have units.
% No functions, base conversion, quoting or scientific notation
% are permitted.
\def\pgfmath@qparse@operand{%
\afterassignment\pgfmath@qparse@@operand%
\pgfmath@dimen\pgfmath@token}
\def\pgfmath@qparse@@operand{%
\edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@dimen}}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\pgfmath@parse@@operator%
}
% Parse a number, which can take the form:
%
% 1. An integer, or a decimal, with or without units.
% 2. A dimension/skip or a count register.
% 3. A dimension register preceded by a number or count register.
% 4. A box dimension (e.g., \wd\mybox).
% 5. A box dimension preceded by a number or a count register.
% 6. Scientific notation (e.g., 1.234567e-10).
% 7. A binary, hexadecimal, or octal number.
%
\def\pgfmath@parse@number{\pgfmath@parse@ifbgroup{\pgfmath@parse@number}{\pgfmath@parse@number@}}
\def\pgfmath@parse@number@#1{%
\let\pgfmath@token=\pgfmath@token@next%
\def\pgfmath@token@next{#1}%
\pgfmath@parse@@number}
\def\pgfmath@parse@@number{%
\ifx\pgfmath@token\pgfmath@egroup@token%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmath@number}%
\let\pgfmath@parse@next=\pgfmath@parse@@@operator%
\else%
\expandafter\ifcat\pgfmath@token\relax% A CS?
\expandafter\ifx\csname pgfmath@token@dimexpr@\expandafter\string\pgfmath@token\endcsname\relax%
\expandafter\ifx\pgfmath@token\numexpr%
\let\pgfmath@parse@next=\pgfmath@parse@numexpr%
\else%
\expandafter\ifx\pgfmath@token\muexpr%
\let\pgfmath@parse@next=\pgfmath@parse@muexpr%
\else%
\expandafter\ifx\csname pgfmath@token@box@\expandafter\string\pgfmath@token\endcsname\relax%
% So, is the CS is a dimension or a count register?
\expandafter\pgfmath@dimen@\pgfmath@token%
\ifpgfmath@dimen@% A dimension register.
\global\pgfmathunitsdeclaredtrue%
\pgfmath@dimen=\pgfmath@number\pgfmath@token%
\edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@dimen}}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\let\pgfmath@parse@next=\pgfmath@parse@operator%
\else% A count register.
\pgfmath@count=\pgfmath@token%
\expandafter\def\expandafter\pgfmath@number\expandafter{\the\pgfmath@count}%
\expandafter\ifcat\pgfmath@token@next\relax%
% A CS following a count register should be \wd, \ht or \dp.
\let\pgfmath@parse@next=\pgfmath@parse@number%
\else%
\let\pgfmathresult=\pgfmath@number%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\let\pgfmath@parse@next=\pgfmath@parse@operator%
\fi%
\fi%
\else%
% This should be a box specification, for example, 0.5\wd\mybox.
\global\pgfmathunitsdeclaredtrue%
\pgfmath@dimen=\pgfmath@number\pgfmath@token\pgfmath@token@next%
\edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@dimen}}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\let\pgfmath@parse@next=\pgfmath@parse@@operator%
\fi%
\fi%
\fi%
\else%
\global\pgfmathunitsdeclaredtrue%
\let\pgfmath@parse@next=\pgfmath@parse@dimexpr%
\fi%
\else%
\expandafter\ifx\csname pgfmath@token@numeric@\expandafter\string\pgfmath@token\endcsname\relax%
% It isn't numeric (i.e., 012345679.), so it might be units...
% first double-character units...
\expandafter\ifx\csname pgfmath@token@unit@\pgfmath@token\expandafter\string\pgfmath@token@next\endcsname\relax%
% then single-character units...
\expandafter\ifx\csname pgfmath@token@unit@\pgfmath@token\endcsname\relax%
% ...or the exponent characters...
\expandafter\ifx\csname pgfmath@token@exponent@\pgfmath@token\endcsname\relax%
% ...or a base prefix...
\expandafter\ifx\csname pgfmath@base@\pgfmath@number\pgfmath@token\endcsname\relax%
% ...or a math unit...
\expandafter\ifx\csname pgfmath@token@mathunit@\pgfmath@token\expandafter\string\pgfmath@token@next\endcsname\relax%
% ...none of the above...
\ifx\pgfmath@base\pgfmath@empty%
\let\pgfmathresult=\pgfmath@number%
\else%
\ifx\pgfmath@number\pgfmath@char@zero%
\let\pgfmathresult=\pgfmath@number%
\else%
% Convert from octal.
\expandafter\pgfmathbasetobase\expandafter\pgfmathresult\expandafter{\pgfmath@number}{8}{10}%
\fi%
\fi%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\let\pgfmath@parse@next=\pgfmath@parse@@@operator%
\else%
% ...here, it is a math unit (mu). Treat it as a pt.
\global\pgfmathunitsdeclaredtrue%
\global\pgfmathmathunitsdeclaredtrue%
\pgfmath@dimen=\pgfmath@number pt\relax%
\edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@dimen}}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\let\pgfmath@parse@next=\pgfmath@parse@@operator%
\fi%
\else%
% ...here, it is a base prefix 0x, 0X, 0b or 0B
\expandafter\let\expandafter\pgfmath@base\expandafter=%
\csname pgfmath@base@\pgfmath@number\pgfmath@token\endcsname%
\let\pgfmath@parse@next=\pgfmath@parse@base%
\fi%
\else% ... and here, it is the exponent characters.
\let\pgfmath@parse@next=\pgfmath@parse@exponent%
\fi%
\else% ...but here it is single-character units.
\global\pgfmathunitsdeclaredtrue%
\pgfmath@dimen=\pgfmath@number\pgfmath@token\relax%
\edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@dimen}}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\let\pgfmath@parse@next=\pgfmath@parse@@operator%
\fi%
\else% ...but here it is double-character units.
\global\pgfmathunitsdeclaredtrue%
\pgfmath@dimen=\pgfmath@number\pgfmath@token\pgfmath@token@next\relax%
\edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@dimen}}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\let\pgfmath@parse@next=\pgfmath@parse@@operator%
\fi%
\else% It is numeric.
\expandafter\expandafter\expandafter\def\expandafter\expandafter\expandafter\pgfmath@number%
\expandafter\expandafter\expandafter{\expandafter\pgfmath@number\pgfmath@token}%
\ifx\pgfmath@token\pgfmath@char@period%
\let\pgfmath@base=\pgfmath@empty%
\fi%
\let\pgfmath@parse@next=\pgfmath@parse@number%
\fi%
\fi%
\fi%
\pgfmath@parse@next%
}
% Parse a \dimexpr
\def\pgfmath@parse@dimexpr{%
\afterassignment\pgfmath@parse@dimexpr@%
\expandafter\expandafter\expandafter\pgfmath@dimen\expandafter\pgfmath@token\pgfmath@token@next%
}
\def\pgfmath@parse@dimexpr@{%
\edef\pgfmathresult{\pgfmath@tonumber{\pgfmath@dimen}}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\pgfmath@parse@@operator%
}
% Parse a \muexpr
\def\pgfmath@parse@muexpr{%
\begingroup%
\afterassignment\pgfmath@parse@muexpr@%
\expandafter\expandafter\expandafter\muskip\expandafter\expandafter\expandafter0\expandafter\pgfmath@token\expandafter\pgfmath@token@next%
}
\def\pgfmath@parse@muexpr@{%
\expandafter\endgroup%
\expandafter\edef\expandafter\pgfmathresult\expandafter{\expandafter\pgfMATH@STRIPMU\the\muskip0}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\pgfmath@parse@@operator%
}
{
\catcode`\m=12
\catcode`\u=12
\gdef\pgfMATH@STRIPMU#1mu{#1}
}
% Parse a \numexpr
\def\pgfmath@parse@numexpr{%
\afterassignment\pgfmath@parse@numexpr@%
\expandafter\expandafter\expandafter\pgfmath@count\expandafter\pgfmath@token\pgfmath@token@next%
}
\def\pgfmath@parse@numexpr@#1{%
\expandafter\def\expandafter\pgfmath@number\expandafter{\the\pgfmath@count}%
\def\pgfmath@token@next{#1}%
\expandafter\ifcat\pgfmath@token@next\relax%
% A CS following a count register should be \wd, \ht or \dp.
\let\pgfmath@parse@next=\pgfmath@parse@number%
\else%
\let\pgfmathresult=\pgfmath@number%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\let\pgfmath@parse@next=\pgfmath@parse@operator%
\fi%
\pgfmath@parse@next%
}
% Parse the exponent of a number.
%
% REMARK: this method will be overwritten by the FPU library. Please
% keep changes consistent...
\def\pgfmath@parse@exponent{%
\afterassignment\pgfmath@parse@@exponent%
\pgfmath@count\pgfmath@token@next}
\def\pgfmath@parse@@exponent{%
\pgfmathscientific{\pgfmath@number}{\the\pgfmath@count}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\pgfmath@parse@@operator%
}
% Parse binary or hexadecimal numbers (octal numbers done elsewhere).
%
\def\pgfmath@parse@base{%
\ifnum\pgfmath@base=2\relax%
\let\pgfmath@parse@next=\pgfmath@parse@binary%
\else%
\ifnum\pgfmath@base=16\relax%
\let\pgfmath@parse@next=\pgfmath@parse@hexadecimal%
\else%
\pgfmath@error{Unexpected numerical base `\pgfmath@base'}{}%
\def\pgfmathresult{0}%
\let\pgfmath@parse@next=\pgfmath@parse@end%
\fi%
\fi%
\let\pgfmath@number=\pgfmath@empty%
\expandafter\pgfmath@parse@next\pgfmath@token@next%
}
\def\pgfmath@parse@binary#1{%
\expandafter\ifx\csname pgfmath@token@binary@#1\endcsname\relax%
\expandafter\pgfmathbasetobase\expandafter\pgfmathresult\expandafter{\pgfmath@number}{2}{10}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\def\pgfmath@token@next{#1}%
\let\pgfmath@parse@next=\pgfmath@parse@operator%
\else%
\expandafter\def\expandafter\pgfmath@number\expandafter{\pgfmath@number#1}%
\let\pgfmath@parse@next=\pgfmath@parse@binary%
\fi%
\pgfmath@parse@next%
}
\def\pgfmath@parse@hexadecimal#1{%
\expandafter\ifx\csname pgfmath@token@hexadecimal@#1\endcsname\relax%
\expandafter\pgfmathbasetobase\expandafter\pgfmathresult\expandafter{\pgfmath@number}{16}{10}%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\def\pgfmath@token@next{#1}%
\let\pgfmath@parse@next=\pgfmath@parse@operator%
\else%
\expandafter\def\expandafter\pgfmath@number\expandafter{\pgfmath@number#1}%
\let\pgfmath@parse@next=\pgfmath@parse@hexadecimal%
\fi%
\pgfmath@parse@next%
}
% Parse a function.
%
\def\pgfmath@parse@function{\pgfmath@parse@ifbgroup{\pgfmath@parse@function}{\pgfmath@parse@@function}}
\def\pgfmath@parse@function@{\futurelet\pgfmath@token@let\pgfmath@parse@@function}
\def\pgfmath@parse@@function{%
\ifx\pgfmath@token@let\pgfmath@sptoken%
\let\pgfmath@token=\pgfmath@empty%
\let\pgfmath@parse@next=\pgfmath@parse@@@@function%
\else%
\let\pgfmath@parse@next=\pgfmath@parse@@@function%
\fi%
\pgfmath@parse@next}
\def\pgfmath@parse@@@function#1{%
\expandafter\ifx\csname pgfmath@token@functional@\expandafter\string#1\endcsname\relax%
\expandafter\ifx\csname pgfmath@token@number@\expandafter\string#1\endcsname\relax%
\def\pgfmath@token{#1}% Not from A-Z, a-z, 0-9, or _.
\let\pgfmath@parse@next=\pgfmath@parse@@@@function%
\else% It is from 0-9.
\expandafter\def\expandafter\pgfmath@function\expandafter{\pgfmath@function#1}%
\let\pgfmath@parse@next=\pgfmath@parse@function@%
\fi%
\else% It is from A-Z, a-z, or _.
\edef\pgfmath@function{\pgfmath@function#1}%
\let\pgfmath@parse@next=\pgfmath@parse@function@%
\fi%
\pgfmath@parse@next}
\def\pgfmath@parse@@@@function{%
\expandafter\ifx\csname pgfmath@function@\pgfmath@function\endcsname\relax%
\pgfmath@error{Unknown function `\pgfmath@function'}{}%
\def\pgfmathresult{0}%
\let\pgfmath@parse@next=\pgfmath@parse@end%
\else%
\expandafter\ifnum\csname pgfmath@operation@\pgfmath@function @arity\endcsname=0\relax%
% Functions with zero arity are called directly.
\csname pgfmath\pgfmath@function @\endcsname%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\let\pgfmath@parse@next=\pgfmath@parse@@operator%
\else% Otherwise, they are pushed onto the operator stack
\expandafter\pgfmath@stack@push@operation\expandafter{\pgfmath@function}%
\let\pgfmath@parse@next=\pgfmath@parse@@operand%
\fi%
\fi%
\expandafter\pgfmath@parse@next\pgfmath@token}
% Parse an operator.
%
\def\pgfmath@parse@operator{\pgfmath@parse@ifbgroup{\pgfmath@parse@operator}{\pgfmath@parse@operator@}}%
\def\pgfmath@parse@operator@#1{% Get one token.
\let\pgfmath@token=\pgfmath@token@next%
\def\pgfmath@token@next{#1}%
\pgfmath@parse@@@operator}
\def\pgfmath@parse@@operator{\pgfmath@parse@ifbgroup{\pgfmath@parse@@operator}{\pgfmath@parse@@operator@}}%
\def\pgfmath@parse@@operator@#1{% Get first token...
\def\pgfmath@token{#1}%
\pgfmath@parse@ifbgroup{\pgfmath@parse@@operator@@}{\pgfmath@parse@@operator@@}}%
\def\pgfmath@parse@@operator@@#1{% ...and second token.
\def\pgfmath@token@next{#1}%
\pgfmath@parse@@@operator}
\def\pgfmath@parse@@@operator{%
\expandafter\ifx\csname pgfmath@operator@\pgfmath@token\expandafter\string\pgfmath@token@next\endcsname\relax%
% Not a double character operator.
\expandafter\ifx\csname pgfmath@operator@\pgfmath@token\endcsname\relax%
% Not a single character operator.
\pgfmath@error{Unknown operator `\pgfmath@token' or `\pgfmath@token\pgfmath@token@next'}{}%
\def\pgfmathresult{0}%
\let\pgfmath@parse@next=\pgfmath@parse@end%
\else%
\expandafter\pgfmath@operation@process\expandafter{\pgfmath@token}%
\ifx\pgfmath@token\pgfmath@text@@%
\let\pgfmath@parse@next=\pgfmath@parse@end%
\else%
\expandafter\ifx\csname pgfmath@operation@\pgfmath@token @postfix\endcsname\pgfmath@token%
% Postfix operators are followed by an operator.
\ifx\pgfmath@token@next\pgfmath@char@leftbracket% Except [.
\let\pgfmath@parse@next=\pgfmath@parse@operand%
\else%
\let\pgfmath@parse@next=\pgfmath@parse@operator%
\fi%
\else%
% Any other operator is followed by an operand.
\let\pgfmath@parse@next=\pgfmath@parse@operand%
\fi%
\fi%
\fi%
\else%
% A double character operator...
\expandafter\expandafter\expandafter\def\expandafter\expandafter\expandafter%
\pgfmath@token\expandafter\expandafter\expandafter%
{\expandafter\pgfmath@token\pgfmath@token@next}%
\expandafter\pgfmath@operation@process\expandafter{\pgfmath@token}%
% ...is always followed by an operand.
\let\pgfmath@parse@next=\pgfmath@parse@@operand%
\fi%
\pgfmath@parse@next%
}
% Process an operation.
%
\def\pgfmath@operation@process#1{%
\def\pgfmath@operator{#1}%
\ifx\pgfmath@stack@operation@top\pgfmath@stack@empty%
\else%
\pgfmath@operation@@process%
\fi%
\expandafter\ifx\csname pgfmath@token@specials@#1\endcsname\relax%
\pgfmath@stack@push@operation{#1}%
\fi%
}
% Process the operation stack.
%
\def\pgfmath@operation@@process{%
\ifx\pgfmath@stack@operation@top\pgfmath@stack@empty%
\let\pgfmath@parse@next=\relax%
\else%
\ifnum\csname pgfmath@operation@\pgfmath@operator @precedence\endcsname>%
\csname pgfmath@operation@\pgfmath@stack@operation@top @precedence\endcsname\relax%
% If the precedence of the scanned operator is greater than the
% precedence of the operator at the top of the stack, do nothing.
\let\pgfmath@parse@next=\relax%
\else%
\let\pgfmath@stack@operation@last=\pgfmath@stack@operation@top%
\expandafter\ifx\csname pgfmath@operator@\pgfmath@stack@operation@top\endcsname\relax%
\pgfmath@function@@@process%
\else%
\pgfmath@operator@@@process%
\fi%
\expandafter\pgfmath@stack@push@operand\expandafter{\pgfmathresult}%
\expandafter\ifx\csname pgfmath@token@group@\pgfmath@stack@operation@last\pgfmath@operator\endcsname\relax%
\let\pgfmath@parse@next=\pgfmath@operation@@process%
\else%
\let\pgfmath@parse@next=\relax%
\fi%
\fi%
\fi%
\pgfmath@parse@next%
}
% Process an operator.
%
\def\pgfmath@operator@@@process{% Process an operator.
\pgfmath@stack@pop@operation\pgfmath@@operator%
\pgfmath@stack@pop@operand\pgfmath@operand@a%
\ifcase\csname pgfmath@operation@\pgfmath@@operator @arity\endcsname\relax%
% Zero arity operators (!).
\or%
\pgfmath@operator@@@@process{\pgfmath@operand@a}%
\or%
\pgfmath@stack@pop@operand\pgfmath@operand@b%
\pgfmath@operator@@@@process{\pgfmath@operand@b}{\pgfmath@operand@a}%
\or%
\pgfmath@stack@pop@operand\pgfmath@operand@b%
\expandafter\pgfmath@operator@@@@process\expandafter%
{\expandafter\pgfmath@operand@b\expandafter}\pgfmath@operand@a%
\else%
% No operators with more than tenary arity.
\fi%
}
\def\pgfmath@operator@@@@process{%
\csname pgfmath%
\csname pgfmath@operation@\pgfmath@@operator @name\endcsname%
@\endcsname}
% Process a function.
%
\def\pgfmath@function@@@process{% Process a function.
\ifnum\csname pgfmath@operation@\pgfmath@stack@operation@top @arity\endcsname>0\relax%
\pgfmath@stack@pop@operation\pgfmath@@function%
\pgfmath@stack@pop@operand\pgfmath@@operand%
\ifnum\csname pgfmath@operation@\pgfmath@@function @arity\endcsname>1\relax%
\ifnum\csname pgfmath@operation@\pgfmath@@function @arity\endcsname>9\relax%
\csname pgfmath\pgfmath@@function @\endcsname{\pgfmath@@operand}%
\else%
\expandafter\pgfmath@function@@@@process\pgfmath@@operand%
\fi
\else%
\expandafter\pgfmath@function@@@@process\expandafter{\pgfmath@@operand}%
\fi%
\fi%
}
\def\pgfmath@function@@@@process{\csname pgfmath\pgfmath@@function @\endcsname}
% Stack.
%
\newtoks\pgfmath@stack@operand
\newtoks\pgfmath@stack@operation
\let\pgfmath@stack@empty=\pgfmath@empty
\def\pgfmath@stack@push#1#2{%
\def\pgfmath@stack@top{#2}%
\expandafter\expandafter\expandafter#1%
\expandafter\expandafter\expandafter{\expandafter\expandafter\expandafter%
{\expandafter\pgfmath@stack@top\expandafter}\the#1}}%
\def\pgfmath@stack@pop#1#2{\expandafter\pgfmath@stack@@pop\the#1\pgfmath@stack@stop{#1}{#2}}
\def\pgfmath@stack@@pop#1#2#3\pgfmath@stack@stop#4#5{\def#5{#1}#4={{#2}#3}\def\pgfmath@stack@top{#2}}
\def\pgfmath@stack@push@operation#1{%
\pgfmath@stack@push\pgfmath@stack@operation{#1}%
\let\pgfmath@stack@operation@top=\pgfmath@stack@top}
\def\pgfmath@stack@pop@operation#1{%
\pgfmath@stack@pop\pgfmath@stack@operation{#1}%
\let\pgfmath@stack@operation@top=\pgfmath@stack@top}
% REMARK: This method will be overwritten by the FPU library. Please
% keep any changes consistent.
\def\pgfmath@stack@push@operand#1{%
\pgfmath@stack@push\pgfmath@stack@operand{#1}%
\let\pgfmath@stack@operand@top=\pgfmath@stack@top}
\def\pgfmath@stack@pop@operand#1{%
\pgfmath@stack@pop\pgfmath@stack@operand{#1}%
\let\pgfmath@stack@operand@top=\pgfmath@stack@top}
% Declare an operator for the parser.
%
% It is not recommended that new operators be created as
% the parser is not fully robust for arbitrary operators.
%
\def\pgfmathdeclareoperator#1#2#3#4#5{%
\ifx\pgfmath@operatorlist\pgfutil@empty
\edef\pgfmath@operatorlist{{\string#1}}%
\else
\edef\pgfmath@operatorlist{\pgfmath@operatorlist,{\string#1}}%
\fi
\pgfmath@namedef{pgfmath@operator@\string#1}{#1}%
\pgfmath@namedef{pgfmath@operation@\string#1@name}{#2}%
\pgfmath@namedef{pgfmath@operation@\string#1@arity}{#3}%
\pgfmath@namedef{pgfmath@operation@\string#1@#4}{#1}%
\pgfmath@namedef{pgfmath@operation@\string#1@precedence}{#5}%
}
\def\pgfmath@operatorlist{}
\pgfmathdeclareoperator{+}{add} {2}{infix}{500}
\pgfmathdeclareoperator{-}{subtract}{2}{infix}{500}
\pgfmathdeclareoperator{*}{multiply}{2}{infix}{700}
\pgfmathdeclareoperator{/}{divide} {2}{infix}{700}
\pgfmathdeclareoperator{^}{pow} {2}{infix}{900}
\pgfmathdeclareoperator{<} {} {1}{prefix} {1}
\pgfmathdeclareoperator{>} {greater} {2}{infix} {250}
\pgfmathdeclareoperator{<} {less} {2}{infix} {250}
\pgfmathdeclareoperator{==}{equal} {2}{infix} {250}
\pgfmathdeclareoperator{>=}{notless} {2}{infix} {250}
\pgfmathdeclareoperator{<=}{notgreater}{2}{infix} {250}
\pgfmathdeclareoperator{&&}{and} {2}{infix} {200}
\pgfmathdeclareoperator{||}{or} {2}{infix} {200}
\pgfmathdeclareoperator{!=}{notequal} {2}{infix} {250}
\pgfmathdeclareoperator{!} {not} {1}{prefix}{975}
\pgfmathdeclareoperator{?} {ifthenelse}{3}{infix} {100}
\pgfmathdeclareoperator{:} {@@collect} {2}{infix}{101}
\pgfmathdeclareoperator{!}{factorial}{1}{postfix}{800}% Must be defined after prefix ! operator.
\pgfmathdeclareoperator{r}{deg} {1}{postfix}{600}
\pgfmathdeclareoperator{,}{@collect} {2}{infix} {10}
\pgfmathdeclareoperator{[}{@startindex}{2}{prefix} {7}
\pgfmathdeclareoperator{]}{@endindex} {0}{postfix}{6}
\pgfmathdeclareoperator{(}{@startgroup}{1}{prefix} {5}
\pgfmathdeclareoperator{)}{@endgroup} {0}{postfix}{4}
\pgfmathdeclareoperator{\pgfmath@bgroup}{@startarray}{1}{prefix} {3}
\pgfmathdeclareoperator{\pgfmath@egroup}{@endarray} {1}{postfix}{2}%
% Special operators.
\pgfmathdeclareoperator{"}{}{1}{prefix}{1}
\pgfmathdeclareoperator{@}{}{0}{postfix}{0}
% Internal functions.
% Begin and end parenthesis ().
%
\def\pgfmath@startgroup@#1{\pgfmath@protected@edef\pgfmathresult{#1}}
\def\pgfmath@endgroup@{}% Never actually called.
% Begin and end array access [].
%
\def\pgfmath@startindex@#1#2{%
\expandafter\pgfmatharray@#1{#2}%
\expandafter\pgfmath@bgroup@strip\expandafter{\pgfmathresult}%
\ifx\pgfmath@token@let\bgroup%
\expandafter\def\expandafter\pgfmathresult\expandafter{\expandafter{\pgfmathresult}}%
\fi}
\def\pgfmath@endindex@{}% Never actually called.
% Begin and end array {}.
%
\def\pgfmath@startarray@#1{\expandafter\def\expandafter\pgfmathresult\expandafter{\expandafter{#1}}}
\def\pgfmath@endarray@#1{\expandafter\def\expandafter\pgfmathresult\expandafter{#1}}% Never actually called.
\def\pgfmath@@collect@#1#2{%
\expandafter\expandafter\expandafter\def\expandafter\expandafter\expandafter%
\pgfmathresult\expandafter\expandafter\expandafter{\expandafter\expandafter\expandafter%
{\expandafter#1\expandafter}\expandafter{#2}}%
}
% Collect items separated by ,.
%
\def\pgfmath@collect@#1#2{%
\expandafter\def\expandafter\pgfmath@collect@original\expandafter{#1}%
\expandafter\pgfmath@bgroup@strip\expandafter{#1}%
\ifx\pgfmath@token@let\bgroup%
\ifx\pgfmath@collect@original\pgfmath@bgroup@stripped%
\expandafter\def\expandafter\pgfmathresult\expandafter{\pgfmath@bgroup@stripped}%
\else%
\expandafter\def\expandafter\pgfmathresult\expandafter{\expandafter{\pgfmath@bgroup@stripped}}%
\fi%
\else%
\expandafter\def\expandafter\pgfmathresult\expandafter{\expandafter{\pgfmath@bgroup@stripped}}%
\fi%
\expandafter\pgfmath@bgroup@strip\expandafter{#2}%
\expandafter\expandafter\expandafter\def\expandafter\expandafter\expandafter%
\pgfmathresult\expandafter\expandafter\expandafter%
{\expandafter\pgfmathresult\expandafter{\pgfmath@bgroup@stripped}}%
}
% Strip braces from a token sequence.
%
\def\pgfmath@bgroup@strip#1{%
\def\pgfmath@bgroup@strip@last{#1}%
\pgfmath@bgroup@@strip{#1}\pgfmath@\pgfmath@@\pgfmath@@@}
\def\pgfmath@bgroup@strip@#1{%
\def\pgfmath@bgroup@strip@last{#1}%
\pgfmath@bgroup@@strip#1\pgfmath@\pgfmath@@\pgfmath@@@}
\def\pgfmath@bgroup@pgfmath@{\pgfmath@}
\def\pgfmath@bgroup@@strip{%
\futurelet\pgfmath@token@let\pgfmath@bgroup@@@strip}
\def\pgfmath@bgroup@@@strip#1#2#3\pgfmath@@@{%
\ifx\pgfmath@token@let\bgroup
\def\pgfmath@bgroup@test{#2}%
\ifx\pgfmath@bgroup@test\pgfmath@bgroup@pgfmath@
\def\pgfmath@next{\pgfmath@bgroup@strip@{#1}}%
\else
\let\pgfmath@bgroup@stripped=\pgfmath@bgroup@strip@last
\let\pgfmath@next=\relax
\fi
\else
\pgfmath@bgroup@@@@strip#1#2#3%
\let\pgfmath@next=\relax
\fi
\pgfmath@next}
\def\pgfmath@bgroup@@@@strip#1\pgfmath@\pgfmath@@{%
\def\pgfmath@bgroup@stripped{#1}}
% Local Variables:
% tab-width: 2
% End: