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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.

% This file defines the mathematical functions and operators.
%
% Version 1.4142135 11/8/2008

\pgfmathdeclarefunction{greater}{2}{%
  \begingroup%
    \ifdim#1pt>#2pt\relax%
        \def\pgfmathresult{1}%
    \else%
      \def\pgfmathresult{0}%
    \fi%
    \pgfmath@smuggleone\pgfmathresult%
  \endgroup%
}
\let\pgfmathgreaterthan=\pgfmathgreater

\pgfmathdeclarefunction{less}{2}{%
  \begingroup%
    \ifdim#1pt<#2pt\relax%
        \def\pgfmathresult{1}%
    \else%
      \def\pgfmathresult{0}%
    \fi%
    \pgfmath@smuggleone\pgfmathresult%
  \endgroup%
}
\let\pgfmathlessthan=\pgfmathless

\pgfmathdeclarefunction{equal}{2}{%
  \begingroup%
    \ifdim#1pt=#2pt\relax%
        \def\pgfmathresult{1}%
    \else%
      \def\pgfmathresult{0}%
    \fi%
    \pgfmath@smuggleone\pgfmathresult%
  \endgroup%
}
\let\pgfmathequalto=\pgfmathequal


% approxequalto function from Christian Feuersaenger.
%
\newif\ifpgfmathcomparison
\pgfmathdeclarefunction{approxequalto}{2}{%
    \begingroup%
        \pgfmath@x=#1pt\relax%
        \pgfmath@y=#2pt\relax%
        \advance\pgfmath@x by-\pgfmath@y%
        \ifdim\pgfmath@x<0pt\relax%
            \multiply\pgfmath@x by-1\relax%
        \fi
        \ifdim\pgfmath@x<0.0001pt\relax%
            \def\pgfmathresult{1.0}%
            \global\pgfmathcomparisontrue%
        \else%
            \def\pgfmathresult{0.0}%
            \global\pgfmathcomparisonfalse%
        \fi%
    \pgfmath@smuggleone\pgfmathresult%
    \endgroup%
}



% ifthenelse function.
%
\pgfmathdeclarefunction{ifthenelse}{3}{%
    \begingroup%
        \ifdim#1pt=0.0pt\relax%
            \expandafter\def\expandafter\pgfmathresult\expandafter{#3}%
        \else%
            \expandafter\def\expandafter\pgfmathresult\expandafter{#2}%
        \fi%
        \pgfmath@smuggleone\pgfmathresult%
    \endgroup%
}

% notequal function.
%
\pgfmathdeclarefunction{notequal}{2}{%
  \begingroup%
    \ifdim#1pt=#2pt\relax%
            \def\pgfmathresult{0}%
    \else%
      \def\pgfmathresult{1}%
    \fi%
    \pgfmath@smuggleone\pgfmathresult%
  \endgroup%
}

% notless function.
%
\pgfmathdeclarefunction{notless}{2}{%
  \begingroup%
    \ifdim#1pt<#2pt\relax%
            \def\pgfmathresult{0}%
    \else%
      \def\pgfmathresult{1}%
    \fi%
    \pgfmath@smuggleone\pgfmathresult%
  \endgroup%
}

% notgreater function.
%
\pgfmathdeclarefunction{notgreater}{2}{%
  \begingroup%
    \ifdim#1pt>#2pt\relax%
            \def\pgfmathresult{0}%
    \else%
      \def\pgfmathresult{1}%
    \fi%
    \pgfmath@smuggleone\pgfmathresult%
  \endgroup%
}

% and function.
%
\pgfmathdeclarefunction{and}{2}{%
  \begingroup%
      \def\pgfmathresult{1}%
    \ifdim#1pt=0pt\relax%
            \def\pgfmathresult{0}%
        \else%
            \ifdim#2pt=0pt\relax%
                \def\pgfmathresult{0}%
            \fi%
        \fi%
     \pgfmath@smuggleone\pgfmathresult%
  \endgroup%
}

% or function.
%
\pgfmathdeclarefunction{or}{2}{%
  \begingroup%
    \def\pgfmathresult{0}%
    \ifdim#1pt=0pt\relax%
            \ifdim#2pt=0pt\relax%
            \else%
                \def\pgfmathresult{1}%
            \fi%
        \else%
            \def\pgfmathresult{1}%
        \fi%
    \pgfmath@smuggleone\pgfmathresult%
  \endgroup%
}

% not function.
%
\pgfmathdeclarefunction{not}{1}{%
  \begingroup%
    \ifdim#1pt=0pt\relax%
            \def\pgfmathresult{1}%
        \else%
            \def\pgfmathresult{0}%
        \fi%
    \pgfmath@smuggleone\pgfmathresult%
  \endgroup%
}

% true function.
%
\pgfmathdeclarefunction{true}{0}{\def\pgfmathresult{1}}

% false function.
%
\pgfmathdeclarefunction{false}{0}{\def\pgfmathresult{0}}