%% $Id: domaincoloring.sty 979 2024-09-02 16:07:29Z herbert $
%% This is file `domaincoloring.sty',
%%
%% Copyright (C) 2024-   Herbert Voss
%%
%% This program can be redistributed and/or modified under the terms
%% of the LaTeX Project Public License Distributed from CTAN archives.
%% The latest version of this license is in
%%    http://www.latex-project.org/lppl.txt

\NeedsTeXFormat{LaTeX2e}

\RequirePackage{xkeyval}
\RequirePackage{graphicx}
\RequirePackage{shellesc}

\def\fileversion{0.05}
\def\filedate{2024/09/02}
\message{`DCol' v\fileversion, \filedate}
\ProvidesPackage{domaincoloring}
  [\filedate\ \fileversion\  package for domain coloring of complex functions]

\ifnum\ShellEscapeStatus < 1
    \PackageError{shellesc}{ShellEscape not enabled! Use --shell-escape}%
\fi

\define@key{DCol}{domain}{\def\@domaincoloring@domain{#1}}
\define@key{DCol}{resolution}{\@domaincoloring@res@i#1,\@nil}
\def\@domaincoloring@res@i#1,#2\@nil{%
  \ifx\relax#2\relax  % only one value
    \def\@domaincoloring@res{#1,#1}%
  \else
    \def\@domaincoloring@res{#1,#2}%
  \fi}
\define@key{DCol}{Rmax}{\def\@domaincoloring@Rmax{#1}}
\define@key{DCol}{bgcolor}{\def\@domaincoloring@bgcolor{#1}}
\define@key{DCol}{hsvrgb}{\def\@domaincoloring@hsvrgb{#1}}
\define@key{DCol}{funcName}{\def\@domaincoloring@funcName{#1}}
\define@key{DCol}{grfOptions}{\def\@domaincoloring@grf{#1}}
\define@boolkey{DCol}[DCol@]{invers}[true]{}
\define@boolkey{DCol}[DCol@]{force}[true]{}
\define@boolkey{DCol}[DCol@]{grid}[true]{}

\newcounter{DCol@imageCTR}
\setcounter{DCol@imageCTR}{0}
\def\@domaincoloring@filename{\jobname-tmp\theDCol@imageCTR}


\def\setDColkeys#1{\edef\x{\noexpand\setkeys{DCol}{#1}}\x}

\setDColkeys{
  funcName={},               % corresponding to external file
  hsvrgb={phi,1,1},          % given (r,phi) of the complex value
%  filename=\jobname-tmp,     % the external image filename
  resolution=500,            % pixel per (x|y) interval
  domain={-2,2,-2,2},        % x|y domain
  Rmax=0,                    % max value vor |z|. 0 is same as inactive
  bgcolor={0,0,0},           % R+G+B value, changes only 1,1,1 -> 255,255,255
  invers=false,              % 0 or 1 vor inverted colors
  grfOptions={scale=0.5},    % LaTeX options for the included image
  force=true,                % only valid for the documentation
  grid=false,                % draw a grid into the image
}% 

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\DomainColoring{\@ifnextchar[\DomainColoring@i{\DomainColoring@i[]}}

\begingroup
% Change ^ to normal character to describe functions with lua
\catcode`\^=11\relax  % for power symbol in Lua

\gdef\DomainColoring@i[#1]#2{%
  \begingroup
  \setDColkeys{#1}%
  \ifDCol@force\else
    \IfFileExists{\@domaincoloring@filename.pdf}{}{\DCol@forcetrue}%
  \fi
  \ifDCol@force  
    \directlua{%
      require("domaincoloring-complex-numbers")
      require ("domaincoloring")
      createData("\jobname",
               "#2",
               "\@domaincoloring@funcName", % user defined, function number from file 
                                            % domaincoloring-functions.lua 
               {\@domaincoloring@domain},{\@domaincoloring@res},\@domaincoloring@Rmax,
               "\@domaincoloring@hsvrgb",
               {\@domaincoloring@bgcolor},
               \ifDCol@invers "true" \else "false" \fi,
               \ifDCol@grid "true" \else "false" \fi)
    }%
    \typeout{Convert \jobname-domain.eps file to \@domaincoloring@filename.pdf}%
    \ShellEscape{epstopdf \jobname-domain.eps \@domaincoloring@filename.pdf}%
  \fi
  %
  \expandafter\includegraphics\expandafter[\@domaincoloring@grf]{\@domaincoloring@filename.pdf}%
  \stepcounter{DCol@imageCTR}%
  \gdef\@domaincoloring@filename{\jobname-tmp\theDCol@imageCTR}%
  \endgroup
  \ignorespaces
}

\catcode`\^=7\relax
\endgroup

\endinput