%%%
% Visualisation Multiplication Décimaux
%%%
\setKVdefault[VisMulDec]{Couleur=Orange,CouleurUnite=DarkGreen,Dixiemes=false,Unite=2}%

\newtoks\toksvismuldec%
\def\UpdatetoksVisMulDec#1\nil{\addtotok\toksvismuldec{"#1",#1,}}%

\NewDocumentCommand\VisualisationMulDecimaux{om}{%
  \useKVdefault[VisMulDec]%
  \setKV[VisMulDec]{#1}%
  \setsepchar{x}\ignoreemptyitems%
  \readlist*\PfCVisMulDec{#2}%
  \toksvismuldec{}%
  \foreachitem\compteur\in\PfCVisMulDec{\expandafter\UpdatetoksVisMulDec\compteur\nil}%
  \BuildVisMulDec{\the\toksvismuldec}%
  \reademptyitems%
}%

\NewDocumentCommand\BuildVisMulDec{m}{%
  \ifluatex
    \mplibforcehmode
    \begin{mplibcode}
      string Nombres[];
      numeric Decimaux[];
      color Coul[];
      boolean Dixiemes;
      
      Unite=\useKV[VisMulDec]{Unite}*cm;
      Coul1=\useKV[VisMulDec]{Couleur};
      Coul2=\useKV[VisMulDec]{CouleurUnite};
      Coul3=0.7[Coul2,white];

      Dixiemes=\useKV[VisMulDec]{Dixiemes};
      
      vardef RecupererDonnees(text t)=
      nbs:=0;
      nbd:=0;
      for p_=t:
      if string p_:
      nbs:=nbs+1;
      Nombres[nbs]=p_;
      else:
      nbd:=nbd+1;
      Decimaux[nbd]=p_;
      fi;
      endfor;
      enddef;

      RecupererDonnees(#1);
      
      pair A,B,C,D;
      A=(0,0);
      B-A=Unite*(Decimaux[1],0);
      D-A=Unite*(0,Decimaux[2]);
      C-D=B-A;
      fill polygone(A,Unite*(1,0),Unite*(1,1),Unite*(0,1)) withcolor Coul3;
      drawoptions(withcolor Coul1);
      pasx=0.1;
      pasy=0.1;
      if (Dixiemes and ((Decimaux[1]*10) mod 10=0)):
      pasy:=1;
      fi;
      if (Dixiemes and ((Decimaux[2]*10) mod 10=0)):
      pasx:=1;
      fi;
      for k=0 step pasx until Decimaux[1]:
      trace (A--(Unite*(0,Decimaux[2]))) shifted(k*Unite*(1,0));
      endfor;
      for k=0 step pasy until Decimaux[2]:
      trace (A--(Unite*(Decimaux[1],0))) shifted(k*Unite*(0,1));
      endfor;
      drawoptions(withpen pencircle scaled 1.2 withcolor Coul2);
      for k=0 upto Decimaux[1]:
      trace (A--(Unite*(0,Decimaux[2]))) shifted(k*Unite*(1,0));
      endfor;
      for k=0 upto Decimaux[2]:
      trace (A--(Unite*(Decimaux[1],0))) shifted(k*Unite*(0,1));
      endfor;
      drawoptions();
      trace cotation(A,B,-5mm,-3mm,TEX("\num{"&Nombres[1]&"}"));
      trace cotation(A,D,5mm,5mm,TEX("\num{"&Nombres[2]&"}") rotated -90);
    \end{mplibcode}
  \else
    \begin{mpost}[mpsettings={string Nombres[];numeric Decimaux[];color Coul[];boolean Dixiemes;Unite=\useKV[VisMulDec]{Unite}*cm;Coul1=\useKV[VisMulDec]{Couleur};Coul2=\useKV[VisMulDec]{CouleurUnite};Coul3=0.7[Coul2,white];Dixiemes=\useKV[VisMulDec]{Dixiemes};}]
      vardef RecupererDonnees(text t)=
      nbs:=0;
      nbd:=0;
      for p_=t:
      if string p_:
      nbs:=nbs+1;
      Nombres[nbs]=p_;
      else:
      nbd:=nbd+1;
      Decimaux[nbd]=p_;
      fi;
      endfor;
      enddef;

      RecupererDonnees(#1);
      
      pair A,B,C,D;
      A=(0,0);
      B-A=Unite*(Decimaux[1],0);
      D-A=Unite*(0,Decimaux[2]);
      C-D=B-A;
      fill polygone(A,Unite*(1,0),Unite*(1,1),Unite*(0,1)) withcolor Coul3;
      drawoptions(withcolor Coul1);
      pasx=0.1;
      pasy=0.1;
      if (Dixiemes and ((Decimaux[1]*10) mod 10=0)):
      pasy:=1;
      fi;
      if (Dixiemes and ((Decimaux[2]*10) mod 10=0)):
      pasx:=1;
      fi;
      for k=0 step pasx until Decimaux[1]:
      trace (A--(Unite*(0,Decimaux[2]))) shifted(k*Unite*(1,0));
      endfor;
      for k=0 step pasy until Decimaux[2]:
      trace (A--(Unite*(Decimaux[1],0))) shifted(k*Unite*(0,1));
      endfor;
      drawoptions(withpen pencircle scaled 1.2 withcolor Coul2);
      for k=0 upto Decimaux[1]:
      trace (A--(Unite*(0,Decimaux[2]))) shifted(k*Unite*(1,0));
      endfor;
      for k=0 upto Decimaux[2]:
      trace (A--(Unite*(Decimaux[1],0))) shifted(k*Unite*(0,1));
      endfor;
      drawoptions();
      trace cotation(A,B,-5mm,-3mm,LATEX("\num{"&Nombres[1]&"}"));
      trace cotation(A,D,5mm,5mm,LATEX("\num{"&Nombres[2]&"}") rotated -90);
    \end{mpost}
  \fi
}%