tex-compiler/texmf-dist/tex/generic/pgf/libraries/pgflibrarysvg.path.code.tex

% Copyright 2009 by Till Tantau
% Copyright 2019 by Jonathan P. Spratte
%
% 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.

\ProvidesFileRCS{pgflibrarysvg.path.code.tex}


\usepgfmodule{parser}%


% Scan an SVG-Path
%
% #1 = the path
%
% Description:
%
% This command takes a path in the compressed SVG-syntax. It then
% issues a sequences of appropriate \pgfpath commands for this
% path. For a description of the compressed svg path syntax, see a
% book on svg.
%
% The notion of a pixel used by svg makes no sense in pgf (actually
% it does not really make sense in svg either, but never mind), and
% instead of pixels "pt" is used as the basic unit. Use coordinate
% transformation to change this.
%
% Example:
%
% \pgfpathsvg{M10 20 L 30-20 0 1}
%
% % this has the same effect as
%
% \pgfpathmoveto{\pgfpoint{10pt}{20pt}}
% \pgfpathlineto{\pgfpint{30pt}{-20pt}}
% \pgfpathlineto{\pgfpint{0pt}{1pt}}
%

\def\pgfpathsvg#1{%
  \let\pgf@lib@svg@finish@prev\relax%
  {%
    \pgftransforminvert%
    \pgf@process{\pgfpointtransformed{\pgfqpoint{\pgf@path@lastx}{\pgf@path@lasty}}}%
  }%
  \pgf@lib@svg@last@x\pgf@x%
  \pgf@lib@svg@last@y\pgf@y%
  \let\pgf@lib@svg@num=\pgfutil@empty%
  \let\pgf@lib@svg@exp=\pgfutil@empty%
  \pgfparserparse{svgpath}#1"%
}%



\newdimen\pgf@lib@svg@last@x
\newdimen\pgf@lib@svg@last@y
\newdimen\pgf@lib@svg@last@c@x
\newdimen\pgf@lib@svg@last@c@y

\newcount\pgf@lib@svg@count
\newcount\pgf@lib@svg@max@num

\newif\pgf@lib@svg@relative



% For the smooth commands (S, s, T, t) we need to keep track of the
% previous control points. This is done in the following two
% variables. If they are empty, there was no previous control point of
% the desired kind, in which case the specification prescribes that
% the start point is used.

\def\pgf@lib@svg@clear@bezier@quad{%
  \let\pgf@lib@svg@bezier@last=\pgfutil@empty
  \let\pgf@lib@svg@quad@last=\pgfutil@empty
}%
\pgf@lib@svg@clear@bezier@quad

%
% Here comes the DFA:
%

% Handle a moveto:

\pgfparserdef{svgpath}{all}{the letter M}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@moveto}%
}%

\def\pgf@lib@svg@moveto{%
  \pgf@lib@svg@clear@bezier@quad%
  \pgf@lib@svg@last@x=\pgf@lib@svg@get@num{0}pt%
  \pgf@lib@svg@last@y=\pgf@lib@svg@get@num{1}pt%
  \pgfpathmoveto{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
  \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@lineto}%
}%


% Handle a relative moveto:

\pgfparserdef{svgpath}{all}{the letter m}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@moveto@rel}%
}%

\def\pgf@lib@svg@moveto@rel{%
  \pgf@lib@svg@clear@bezier@quad%
  \advance\pgf@lib@svg@last@x by\pgf@lib@svg@get@num{0}pt%
  \advance\pgf@lib@svg@last@y by\pgf@lib@svg@get@num{1}pt%
  \pgfpathmoveto{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
  \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@lineto@rel}%
}%


% Handle a lineto:

\pgfparserdef{svgpath}{all}{the letter L}
{%
  \pgf@lib@svg@finish@prev%
  \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@lineto}%
}%

\def\pgf@lib@svg@lineto{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    \pgf@lib@svg@clear@bezier@quad%
    \pgf@lib@svg@last@x=\pgf@lib@svg@get@num{0}pt%
    \pgf@lib@svg@last@y=\pgf@lib@svg@get@num{1}pt%
    \pgfpathlineto{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@lineto}%
  \fi
}%


% Handle a relative lineto:

\pgfparserdef{svgpath}{all}{the letter l}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@lineto@rel}%
}%

\def\pgf@lib@svg@lineto@rel{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    \pgf@lib@svg@clear@bezier@quad%
    \advance\pgf@lib@svg@last@x by\pgf@lib@svg@get@num{0}pt%
    \advance\pgf@lib@svg@last@y by\pgf@lib@svg@get@num{1}pt%
    \pgfpathlineto{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@lineto@rel}%
  \fi
}%


% Handle a closepath:

\pgfparserdef{svgpath}{all}{the letter Z}
{%
  \pgf@lib@svg@closepath
}%

\pgfparserdef{svgpath}{all}{the letter z}
{%
  \pgf@lib@svg@closepath
}%

\def\pgf@lib@svg@closepath{%
  \pgf@lib@svg@finish@prev
  \pgfpathclose
  \let\pgf@lib@svg@finish@prev=\relax
  \pgf@lib@svg@clear@bezier@quad%
  \pgfparserswitch{initial}%
}%


% Ignore spaces if no other rules says differently:

\pgfparserdef{svgpath}{all}{blank space \space}{}%




% Handle a horizontal lineto:

\pgfparserdef{svgpath}{all}{the letter H}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{1}{\pgf@lib@svg@hlineto}%
}%

\def\pgf@lib@svg@hlineto{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    \pgf@lib@svg@clear@bezier@quad%
    \pgf@lib@svg@last@x=\pgf@lib@svg@get@num{0}pt%
    \pgfpathlineto{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    \pgf@lib@svg@read@nums{1}{\pgf@lib@svg@hlineto}%
  \fi
}%

\pgfparserdef{svgpath}{all}{the letter h}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{1}{\pgf@lib@svg@hlineto@rel}%
}%

\def\pgf@lib@svg@hlineto@rel{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    \pgf@lib@svg@clear@bezier@quad%
    \advance\pgf@lib@svg@last@x by\pgf@lib@svg@get@num{0}pt%
    \pgfpathlineto{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    \pgf@lib@svg@read@nums{1}{\pgf@lib@svg@hlineto@rel}%
  \fi
}%


% Handle a horizontal lineto:

\pgfparserdef{svgpath}{all}{the letter V}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{1}{\pgf@lib@svg@vlineto}%
}%

\def\pgf@lib@svg@vlineto{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    \pgf@lib@svg@clear@bezier@quad%
    \pgf@lib@svg@last@y=\pgf@lib@svg@get@num{0}pt%
    \pgfpathlineto{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    \pgf@lib@svg@read@nums{1}{\pgf@lib@svg@vlineto}%
  \fi
}%

\pgfparserdef{svgpath}{all}{the letter v}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{1}{\pgf@lib@svg@vlineto@rel}%
}%

\def\pgf@lib@svg@vlineto@rel{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    \pgf@lib@svg@clear@bezier@quad%
    \advance\pgf@lib@svg@last@y by\pgf@lib@svg@get@num{0}pt%
    \pgfpathlineto{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    \pgf@lib@svg@read@nums{1}{\pgf@lib@svg@vlineto@rel}%
  \fi
}%




% Handle a Bezier curve:

\pgfparserdef{svgpath}{all}{the letter C}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{6}{\pgf@lib@svg@curveto}%
}%

\def\pgf@lib@svg@curveto{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    % Clear quadratic last point and save new last control point:
    \let\pgf@lib@svg@quad@last=\pgfutil@empty%
    \edef\pgf@lib@svg@bezier@last{%
      \noexpand\pgfqpoint{\pgf@lib@svg@get@num{2}pt}{\pgf@lib@svg@get@num{3}pt}}%
    % Draw curve
    \pgf@lib@svg@last@x=\pgf@lib@svg@get@num{4}pt%
    \pgf@lib@svg@last@y=\pgf@lib@svg@get@num{5}pt%
    \pgfpathcurveto
    {\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}%
    {\pgfqpoint{\pgf@lib@svg@get@num{2}pt}{\pgf@lib@svg@get@num{3}pt}}%
    {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    % Go on
    \pgf@lib@svg@read@nums{6}{\pgf@lib@svg@curveto}%
  \fi
}%


\pgfparserdef{svgpath}{all}{the letter c}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{6}{\pgf@lib@svg@curveto@rel}%
}%

\def\pgf@lib@svg@curveto@rel{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    % Clear quadratic last point and save new last control point:
    \let\pgf@lib@svg@quad@last=\pgfutil@empty%
    \pgf@process{\pgfpointadd{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}{\pgfqpoint{\pgf@lib@svg@get@num{2}pt}{\pgf@lib@svg@get@num{3}pt}}}%
    \edef\pgf@lib@svg@bezier@last{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
    % Draw curve
    \pgfpathcurveto
    {\pgfpointadd{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}{\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}}%
    {\pgfpointadd{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}{\pgfqpoint{\pgf@lib@svg@get@num{2}pt}{\pgf@lib@svg@get@num{3}pt}}}%
    {\pgfpointadd{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}{\pgfqpoint{\pgf@lib@svg@get@num{4}pt}{\pgf@lib@svg@get@num{5}pt}}}%
    \advance\pgf@lib@svg@last@x by\pgf@lib@svg@get@num{4}pt%
    \advance\pgf@lib@svg@last@y by\pgf@lib@svg@get@num{5}pt%
    \pgf@lib@svg@read@nums{6}{\pgf@lib@svg@curveto@rel}%
  \fi
}%





\pgfparserdef{svgpath}{all}{the letter S}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{4}{\pgf@lib@svg@curveto@smooth}%
}%

\def\pgf@lib@svg@curveto@smooth{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    % Draw curve
    % Compute first control point
    \ifx\pgf@lib@svg@bezier@last\pgfutil@empty%
      \def\pgf@lib@svg@first@cp{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    \else
      \def\pgf@lib@svg@first@cp{%
        \pgfpointadd
        {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
        {\pgfpointdiff
          {\pgf@lib@svg@bezier@last}%
          {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
        }%
      }%
    \fi
    \pgfpathcurveto
    {\pgf@lib@svg@first@cp}%
    {\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}%
    {\pgfqpoint{\pgf@lib@svg@get@num{2}pt}{\pgf@lib@svg@get@num{3}pt}}%
    % Clear quadratic last point and save new last control point:
    \let\pgf@lib@svg@quad@last=\pgfutil@empty%
    \edef\pgf@lib@svg@bezier@last{%
      \noexpand\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}%
    % Update
    \pgf@lib@svg@last@x=\pgf@lib@svg@get@num{2}pt%
    \pgf@lib@svg@last@y=\pgf@lib@svg@get@num{3}pt%
    % Go on
    \pgf@lib@svg@read@nums{4}{\pgf@lib@svg@curveto@smooth}%
  \fi
}%


\pgfparserdef{svgpath}{all}{the letter s}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{4}{\pgf@lib@svg@curveto@rel@smooth}%
}%

\def\pgf@lib@svg@curveto@rel@smooth{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    % Draw curve
    % Compute first control point
    \ifx\pgf@lib@svg@bezier@last\pgfutil@empty%
      \def\pgf@lib@svg@first@cp{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    \else
      \def\pgf@lib@svg@first@cp{%
        \pgfpointadd
        {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
        {\pgfpointdiff
          {\pgf@lib@svg@bezier@last}%
          {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
        }%
      }%
    \fi
    \pgfpathcurveto
    {\pgf@lib@svg@first@cp}%
    {\pgfpointadd{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}{\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}}%
    {\pgfpointadd{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}{\pgfqpoint{\pgf@lib@svg@get@num{2}pt}{\pgf@lib@svg@get@num{3}pt}}}%
    % Clear quadratic last point and save new last control point:
    \let\pgf@lib@svg@quad@last=\pgfutil@empty%
    \pgf@process{\pgfpointadd{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}{\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}}%
    \edef\pgf@lib@svg@bezier@last{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
    % update
    \advance\pgf@lib@svg@last@x by\pgf@lib@svg@get@num{2}pt%
    \advance\pgf@lib@svg@last@y by\pgf@lib@svg@get@num{3}pt%
    % Go on
    \pgf@lib@svg@read@nums{4}{\pgf@lib@svg@curveto@rel@smooth}%
  \fi
}%




% Handle a quadratic curve:

\pgfparserdef{svgpath}{all}{the letter Q}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{4}{\pgf@lib@svg@quad@curveto}%
}%

\def\pgf@lib@svg@quad@curveto{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    % Clear bezier last point and save new last control point:
    \let\pgf@lib@svg@bezier@last=\pgfutil@empty%
    \edef\pgf@lib@svg@quad@last{%
      \noexpand\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}%
    % Draw curve
    \pgf@lib@svg@last@x=\pgf@lib@svg@get@num{2}pt%
    \pgf@lib@svg@last@y=\pgf@lib@svg@get@num{3}pt%
    \pgfpathquadraticcurveto
    {\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}%
    {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    % Go on
    \pgf@lib@svg@read@nums{4}{\pgf@lib@svg@quad@curveto}%
  \fi
}%


\pgfparserdef{svgpath}{all}{the letter q}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{4}{\pgf@lib@svg@quad@curveto@rel}%
}%

\def\pgf@lib@svg@quad@curveto@rel{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    % Clear quadratic last point and save new last control point:
    \let\pgf@lib@svg@bezier@last=\pgfutil@empty%
    \pgf@process{\pgfpointadd{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}{\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}}%
    \edef\pgf@lib@svg@quad@last{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
    % Draw curve
    \pgfpathquadraticcurveto
    {\pgfpointadd{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}{\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}}%
    {\pgfpointadd{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}{\pgfqpoint{\pgf@lib@svg@get@num{2}pt}{\pgf@lib@svg@get@num{3}pt}}}%
    \advance\pgf@lib@svg@last@x by\pgf@lib@svg@get@num{2}pt%
    \advance\pgf@lib@svg@last@y by\pgf@lib@svg@get@num{3}pt%
    \pgf@lib@svg@read@nums{4}{\pgf@lib@svg@quad@curveto@rel}%
  \fi
}%




\pgfparserdef{svgpath}{all}{the letter T}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@quad@curveto@smooth}%
}%

\def\pgf@lib@svg@quad@curveto@smooth{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    % Draw curve
    % Compute first control point
    \pgf@process{%
      \ifx\pgf@lib@svg@quad@last\pgfutil@empty%
        \pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}%
      \else
        \pgfpointadd
        {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
        {\pgfpointdiff
          {\pgf@lib@svg@quad@last}%
          {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
        }%
      \fi
    }%
    \edef\pgf@lib@svg@first@cp{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
    \pgfpathquadraticcurveto
    {\pgf@lib@svg@first@cp}%
    {\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}%
    % Clear quadratic last point and save new last control point:
    \let\pgf@lib@svg@bezier@last=\pgfutil@empty%
    \let\pgf@lib@svg@quad@last=\pgf@lib@svg@first@cp%
    % Update
    \pgf@lib@svg@last@x=\pgf@lib@svg@get@num{0}pt%
    \pgf@lib@svg@last@y=\pgf@lib@svg@get@num{1}pt%
    % Go on
    \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@quad@curveto@smooth}%
  \fi
}%


\pgfparserdef{svgpath}{all}{the letter t}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@quad@curveto@rel@smooth}%
}%

\def\pgf@lib@svg@quad@curveto@rel@smooth{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    % Draw curve
    % Compute first control point
     \pgf@process{%
      \ifx\pgf@lib@svg@quad@last\pgfutil@empty%
        \pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}%
      \else
        \pgfpointadd
        {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
        {\pgfpointdiff
          {\pgf@lib@svg@quad@last}%
          {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
        }%
      \fi
    }%
    \edef\pgf@lib@svg@first@cp{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
    \pgfpathquadraticcurveto
    {\pgf@lib@svg@first@cp}%
    {\pgfpointadd{\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}{\pgfqpoint{\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}}}%
    % Clear quadratic last point and save new last control point:
    \let\pgf@lib@svg@bezier@last=\pgfutil@empty%
    \let\pgf@lib@svg@quad@last=\pgf@lib@svg@first@cp%
    % update
    \advance\pgf@lib@svg@last@x by\pgf@lib@svg@get@num{0}pt%
    \advance\pgf@lib@svg@last@y by\pgf@lib@svg@get@num{1}pt%
    % Go on
    \pgf@lib@svg@read@nums{2}{\pgf@lib@svg@quad@curveto@rel@smooth}%
  \fi
}%



% Handle an arcto:

\pgfparserdef{svgpath}{all}{the letter A}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{7}{\pgf@lib@svg@arcto}%
}%

\def\pgf@lib@svg@arcto{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    % Clear bezier last point and save new last control point:
    \pgf@lib@svg@clear@bezier@quad%
    % Draw curve
    \pgf@lib@svg@last@x=\pgf@lib@svg@get@num{5}pt%
    \pgf@lib@svg@last@y=\pgf@lib@svg@get@num{6}pt%
    \pgfpatharcto
    {\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}%
    {\pgf@lib@svg@get@num{2}}%
    {\pgf@lib@svg@get@num{3}}%
    {\pgf@lib@svg@get@num{4}}%
    {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    % Go on
    \pgf@lib@svg@read@nums{7}{\pgf@lib@svg@arcto}%
  \fi
}%

\pgfparserdef{svgpath}{all}{the letter a}
{%
  \pgf@lib@svg@finish@prev
  \pgf@lib@svg@read@nums{7}{\pgf@lib@svg@arcto@rel}%
}%

\def\pgf@lib@svg@arcto@rel{%
  \ifnum\pgf@lib@svg@count=0\relax% nothing read
  \else%
    % Clear bezier last point and save new last control point:
    \pgf@lib@svg@clear@bezier@quad%
    % Draw curve
    \advance\pgf@lib@svg@last@x by\pgf@lib@svg@get@num{5}pt%
    \advance\pgf@lib@svg@last@y by\pgf@lib@svg@get@num{6}pt%
    \pgfpatharcto
    {\pgf@lib@svg@get@num{0}pt}{\pgf@lib@svg@get@num{1}pt}%
    {\pgf@lib@svg@get@num{2}}%
    {\pgf@lib@svg@get@num{3}}%
    {\pgf@lib@svg@get@num{4}}%
    {\pgfqpoint{\pgf@lib@svg@last@x}{\pgf@lib@svg@last@y}}%
    % Go on
    \pgf@lib@svg@read@nums{7}{\pgf@lib@svg@arcto@rel}%
  \fi
}%





% Handle to end of the world

\pgfparserdef{svgpath}{all}{the character "}
{%
  \pgf@lib@svg@finish@prev
  \pgfparserswitch{final}%
}%




% Handle spacers for numbers

\def\pgf@lib@svg@read@nums#1#2{% get #1 number symbols, then do #2
  \pgf@lib@svg@count=0\relax
  \pgf@lib@svg@max@num=#1\relax
  \pgfparserswitch{num}%
  \def\pgf@lib@svg@finish@prev{%
    \ifx\pgf@lib@svg@num\pgfutil@empty%
    \else%
      \ifx\pgf@lib@svg@exp\pgfutil@empty
      \else
        \pgfmathfloatparsenumber{\pgf@lib@svg@num e\pgf@lib@svg@exp}%
        \pgfmathfloattofixed{\pgfmathresult}%
        \let\pgf@lib@svg@num=\pgfmathresult
      \fi
      \expandafter\let\csname pgf@lib@svg@num@\the\pgf@lib@svg@count\endcsname=\pgf@lib@svg@num
      \advance\pgf@lib@svg@count by1\relax%
      \let\pgf@lib@svg@num=\pgfutil@empty%
      \let\pgf@lib@svg@exp=\pgfutil@empty%
    \fi
    #2%
  }%
}%

\def\pgf@lib@svg@get@num#1{\csname pgf@lib@svg@num@#1\endcsname}%


\pgfparserdef{svgpath}{num}{the character ,}
{%
  \pgf@lib@svg@handle@spacer
}%
\pgfparserlet{svgpath}{after.}{the character ,}[num]{the character ,}
\pgfparserlet{svgpath}{exp},[num],
\pgfparserlet{svgpath}{exp sign},[num],

\pgfparserdef{svgpath}{num}{\meaning\pgfutil@sptoken}
{%
  \pgf@lib@svg@handle@spacer
}%
\pgfparserlet{svgpath}{after.}{blank space}[num]{blank space}
\pgfparserlet{svgpath}{exp}{blank space},
\pgfparserlet{svgpath}{exp sign}{blank space},

\pgfparserdef{svgpath}{num}{the character -}
{%
  \pgf@lib@svg@handle@spacer
  \def\pgf@lib@svg@num{-}%
}%
\pgfparserlet{svgpath}{after.}{the character -}[num]{the character -}
\pgfparserlet{svgpath}{exp}-[num]-
\pgfparserdef{svgpath}{num}{the character +}
{%
  \pgf@lib@svg@handle@spacer
  \def\pgf@lib@svg@num{+}%
}
\pgfparserlet{svgpath}{after.}{the character +}[num]{the character +}
\pgfparserlet{svgpath}{exp}+[num]+

\def\pgf@lib@svg@handle@spacer{%
  \ifx\pgf@lib@svg@num\pgfutil@empty%
    % ignore
  \else
    \ifx\pgf@lib@svg@exp\pgfutil@empty
    \else
      \pgfmathfloatparsenumber{\pgf@lib@svg@num e\pgf@lib@svg@exp}%
      \pgfmathfloattofixed{\pgfmathresult}%
      \let\pgf@lib@svg@num=\pgfmathresult
    \fi
    \expandafter\let\csname pgf@lib@svg@num@\the\pgf@lib@svg@count\endcsname=\pgf@lib@svg@num
    \advance\pgf@lib@svg@count by1\relax%
    \ifnum\pgf@lib@svg@count=\pgf@lib@svg@max@num\relax%
      \pgf@lib@svg@finish@prev%
    \fi
    \let\pgf@lib@svg@num=\pgfutil@empty%
    \let\pgf@lib@svg@exp=\pgfutil@empty%
    \pgfparserswitch{num}%
  \fi
}%


% Handle digits

\pgfparserdef{svgpath}{num}e
  {%
    \pgfparserswitch{exp sign}%
    \let\pgf@lib@svg@exp=\pgfutil@empty
  }
\pgfparserlet{svgpath}{after.}e[num]e
\pgfparserdef{svgpath}{exp sign}-
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp-}%
    \pgfparserswitch{exp}%
  }
\pgfparserdef{svgpath}{exp sign}+
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp+}%
    \pgfparserswitch{exp}%
  }
\pgfparserdef{svgpath}{exp sign}0
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp0}%
    \pgfparserswitch{exp}%
  }
\pgfparserdef{svgpath}{exp sign}1
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp1}%
    \pgfparserswitch{exp}%
  }
\pgfparserdef{svgpath}{exp sign}2
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp2}%
    \pgfparserswitch{exp}%
  }
\pgfparserdef{svgpath}{exp sign}3
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp3}%
    \pgfparserswitch{exp}%
  }
\pgfparserdef{svgpath}{exp sign}4
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp4}%
    \pgfparserswitch{exp}%
  }
\pgfparserdef{svgpath}{exp sign}5
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp5}%
    \pgfparserswitch{exp}%
  }
\pgfparserdef{svgpath}{exp sign}6
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp6}%
    \pgfparserswitch{exp}%
  }
\pgfparserdef{svgpath}{exp sign}7
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp7}%
    \pgfparserswitch{exp}%
  }
\pgfparserdef{svgpath}{exp sign}8
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp8}%
    \pgfparserswitch{exp}%
  }
\pgfparserdef{svgpath}{exp sign}9
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp9}%
    \pgfparserswitch{exp}%
  }

\pgfparserdef{svgpath}{exp}0
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp0}%
  }
\pgfparserdef{svgpath}{exp}1
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp1}%
  }
\pgfparserdef{svgpath}{exp}2
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp2}%
  }
\pgfparserdef{svgpath}{exp}3
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp3}%
  }
\pgfparserdef{svgpath}{exp}4
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp4}%
  }
\pgfparserdef{svgpath}{exp}5
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp5}%
  }
\pgfparserdef{svgpath}{exp}6
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp6}%
  }
\pgfparserdef{svgpath}{exp}7
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp7}%
  }
\pgfparserdef{svgpath}{exp}8
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp8}%
  }
\pgfparserdef{svgpath}{exp}9
  {%
    \expandafter\def\expandafter\pgf@lib@svg@exp\expandafter{\pgf@lib@svg@exp9}%
  }

\pgfparserdef{svgpath}{num}{the character .}
  {%
    \expandafter\def\expandafter\pgf@lib@svg@num\expandafter{\pgf@lib@svg@num.}%
    \pgfparserswitch{after.}%
  }%
\pgfparserdef{svgpath}{after.}{the character .}
  {%
    \pgf@lib@svg@handle@spacer
    \def\pgf@lib@svg@num{.}%
    \pgfparserswitch{after.}%
  }%
\pgfparserlet{svgpath}{exp}{the character .}[after.]{the character .}

\pgfparserdef{svgpath}{all}{the character 0}
{\expandafter\def\expandafter\pgf@lib@svg@num\expandafter{\pgf@lib@svg@num0}}%

\pgfparserdef{svgpath}{all}{the character 1}
{\expandafter\def\expandafter\pgf@lib@svg@num\expandafter{\pgf@lib@svg@num1}}%

\pgfparserdef{svgpath}{all}{the character 2}
{\expandafter\def\expandafter\pgf@lib@svg@num\expandafter{\pgf@lib@svg@num2}}%

\pgfparserdef{svgpath}{all}{the character 3}
{\expandafter\def\expandafter\pgf@lib@svg@num\expandafter{\pgf@lib@svg@num3}}%

\pgfparserdef{svgpath}{all}{the character 4}
{\expandafter\def\expandafter\pgf@lib@svg@num\expandafter{\pgf@lib@svg@num4}}%

\pgfparserdef{svgpath}{all}{the character 5}
{\expandafter\def\expandafter\pgf@lib@svg@num\expandafter{\pgf@lib@svg@num5}}%

\pgfparserdef{svgpath}{all}{the character 6}
{\expandafter\def\expandafter\pgf@lib@svg@num\expandafter{\pgf@lib@svg@num6}}%

\pgfparserdef{svgpath}{all}{the character 7}
{\expandafter\def\expandafter\pgf@lib@svg@num\expandafter{\pgf@lib@svg@num7}}%

\pgfparserdef{svgpath}{all}{the character 8}
{\expandafter\def\expandafter\pgf@lib@svg@num\expandafter{\pgf@lib@svg@num8}}%

\pgfparserdef{svgpath}{all}{the character 9}
{\expandafter\def\expandafter\pgf@lib@svg@num\expandafter{\pgf@lib@svg@num9}}%