%%%
% Calisson
%%%
\def\filedateCalisson{2024/08/04}%
\def\fileversionCalisson{0.1}%
\message{-- \filedateCalisson\space v\fileversionCalisson}%
%
\setKVdefault[Calisson]{Taille=3,Solution=false,Rayon=5cm,Couleur=red,CouleurTrace=black}%

\def\UpdatetoksCalissong#1\nil{\addtotok\tokcalissonlistetracesg{,"#1"}}%
\def\UpdatetoksCalissongDepart#1\nil{\addtotok\tokcalissonlistetracesg{"#1"}}%
\def\UpdatetoksCalissond#1\nil{\addtotok\tokcalissonlistetracesd{,"#1"}}%
\def\UpdatetoksCalissondDepart#1\nil{\addtotok\tokcalissonlistetracesd{"#1"}}%

\newtoks\tokcalissonlistetracesg
\newtoks\tokcalissonlistetracesd

\NewDocumentCommand\Calisson{o m}{%
  \useKVdefault[Calisson]%
  \setKV[Calisson]{#1}%
  % Essai de cassage du code
  \tokcalissonlistetracesg{}%
  \tokcalissonlistetracesd{}%
  %Partie Gauche -> ok
  \StrLeft{0#2}{2}[\Depart]%
  \StrGobbleLeft{0#2}{2}[\Reste]%
  \expandafter\UpdatetoksCalissongDepart\Depart0\nil%
  \xintFor* ##1 in {\xintSeq{1}{\fpeval{\useKV[Calisson]{Taille}-1}}}\do{%
    \StrLeft{0\Reste}{3}[\Depart]%
    \expandafter\UpdatetoksCalissong\Depart\nil%
    \StrGobbleLeft{0\Reste}{3}[\Reste]%
  }%
  \StrLeft{00\Reste}{3}[\Depart]%
  \StrGobbleLeft{00\Reste}{3}[\Reste]%
  \expandafter\UpdatetoksCalissong\Depart\nil%
  % fin premiere ligne
  \xintFor* ##1 in {\xintSeq{1}{\fpeval{\useKV[Calisson]{Taille}-1}}}\do{%
    \StrLeft{\Reste}{2}[\Depart]%
    \expandafter\UpdatetoksCalissong\Depart0\nil%
    \StrGobbleLeft{\Reste}{2}[\Reste]%
    \xintFor* ##2 in {\xintSeq{1}{\fpeval{\useKV[Calisson]{Taille}-1}}}\do{%
      \StrLeft{\Reste}{3}[\Depart]%
      \expandafter\UpdatetoksCalissong\Depart\nil%
      \StrGobbleLeft{\Reste}{3}[\Reste]%
    }%
    \StrLeft{00\Reste}{3}[\Depart]%
    \expandafter\UpdatetoksCalissong\Depart\nil%
    \StrGobbleLeft{00\Reste}{3}[\Reste]%
  }%
  % fin des lignes intermédiaires
  \xintFor* ##1 in {\xintSeq{1}{\fpeval{\useKV[Calisson]{Taille}}}}\do{%
    \StrLeft{\Reste}{2}[\Depart]%
    \expandafter\UpdatetoksCalissong\Depart0\nil%
    \StrGobbleLeft{\Reste}{2}[\Reste]
    \xintifboolexpr{##1>\fpeval{\useKV[Calisson]{Taille}-1}}{}{%
      \xintFor* ##2 in {\xintSeq{\fpeval{\useKV[Calisson]{Taille}-##1}}{1}}\do{%
        \StrLeft{\Reste}{3}[\Depart]%
        \expandafter\UpdatetoksCalissong\Depart\nil%
        \StrGobbleLeft{\Reste}{3}[\Reste]%
      }%
    }%
  }%
  % Liste gauche : \the\tokcalissonlistetracesg%
%  \par Pour la droite, Il reste \Reste
  % Partie droite
  \xintifboolexpr{\useKV[Calisson]{Taille}==2}{%
    % 10
    \StrLeft{0\Reste}{3}[\Depart]%
    \expandafter\UpdatetoksCalissondDepart\Depart\nil%
    \StrGobbleLeft{0\Reste}{3}[\Reste]%
    % 11
    \StrLeft{00\Reste}{3}[\Depart]%
    \expandafter\UpdatetoksCalissond\Depart\nil%
    \StrGobbleLeft{00\Reste}{3}[\Reste]%
    % 12
    \StrLeft{\Reste}{1}[\Depart]%
    \expandafter\UpdatetoksCalissond\Depart\nil%
    \StrGobbleLeft{\Reste}{1}[\Reste]%
    % 13
    \StrLeft{\Reste}{3}[\Depart]%
    \expandafter\UpdatetoksCalissond\Depart\nil%
    \StrGobbleLeft{\Reste}{3}[\Reste]%
    % 14
    \StrLeft{00\Reste}{3}[\Depart]%
    \expandafter\UpdatetoksCalissond\Depart\nil%
    \StrGobbleLeft{00\Reste}{3}[\Reste]%
    % 15
    \StrLeft{\Reste}{1}[\Depart]%
    \expandafter\UpdatetoksCalissond\Depart0\nil%
    \StrGobbleLeft{\Reste}{1}[\Reste]%
    % 16
    \StrLeft{\Reste}{3}[\Depart]%
    \expandafter\UpdatetoksCalissond\Depart\nil%
    \StrGobbleLeft{\Reste}{3}[\Reste]%
    % 17
    \StrLeft{\Reste}{1}[\Depart]%
    \expandafter\UpdatetoksCalissond\Depart00\nil%
%    \StrGobbleLeft{\Reste}{2}[\Reste]%
  }{%
    \StrLeft{0\Reste}{3}[\Depart]%
    \expandafter\UpdatetoksCalissondDepart\Depart\nil%
    \StrGobbleLeft{0\Reste}{3}[\Reste]%
    \xintFor* ##1 in {\xintSeq{1}{\fpeval{\useKV[Calisson]{Taille}-2}}}\do{%
      \StrLeft{0\Reste}{3}[\Depart]%
      \expandafter\UpdatetoksCalissond\Depart\nil%
      \StrGobbleLeft{0\Reste}{3}[\Reste]%
    }%
    \StrLeft{00\Reste}{3}[\Depart]%
    \StrGobbleLeft{00\Reste}{3}[\Reste]%
    \expandafter\UpdatetoksCalissond\Depart\nil%
    % \par A la première ligne : \the\tokcalissonlistetracesd
    % fin premiere ligne
    \StrLeft{0\Reste}{3}[\Depart]%
    \xintFor* ##1 in {\xintSeq{1}{\fpeval{\useKV[Calisson]{Taille}-1}}}\do{%
      \StrLeft{\Reste}{1}[\Depart]%
      \expandafter\UpdatetoksCalissond\Depart00\nil%
      \StrGobbleLeft{\Reste}{1}[\Reste]%
      \xintFor* ##2 in {\xintSeq{1}{\fpeval{\useKV[Calisson]{Taille}-1}}}\do{%
        \StrLeft{\Reste}{3}[\Depart]%
        \expandafter\UpdatetoksCalissond\Depart\nil%
        \StrGobbleLeft{\Reste}{3}[\Reste]%
      }%
      \StrLeft{00\Reste}{3}[\Depart]%
      \expandafter\UpdatetoksCalissond\Depart\nil%
      \StrGobbleLeft{00\Reste}{3}[\Reste]%
    }
    %% fin des lignes intermédiaires
    \xintFor* ##1 in {\xintSeq{1}{\fpeval{\useKV[Calisson]{Taille}}}}\do{%
      \StrLeft{\Reste}{1}[\Depart]%
      \expandafter\UpdatetoksCalissond\Depart00\nil%
      \StrGobbleLeft{\Reste}{1}[\Reste]%
      \xintifboolexpr{##1>\fpeval{\useKV[Calisson]{Taille}-1}}{}{%
        \xintFor* ##2 in {\xintSeq{\fpeval{\useKV[Calisson]{Taille}-##1}}{1}}\do{%
          \StrLeft{\Reste}{3}[\Depart]%
          \expandafter\UpdatetoksCalissond\Depart\nil%
          \StrGobbleLeft{\Reste}{3}[\Reste]%
        }%
      }%
    }%
  }%
%  \par Liste droite :\the\tokcalissonlistetracesd\par
  %\par Liste cp : \tokcalissonlistetracesd{"0ss",0f0","ftf","ssf","0ff","tt0","0sf","sfs"}\the\tokcalissonlistetracesd\par
  \BuildCalisson{\the\tokcalissonlistetracesg}{\the\tokcalissonlistetracesd}%
}%

\def\BuildCalissonCode{%
  boolean Solution;
  Solution:=\useKV[Calisson]{Solution};
  % 
  color CouleurSolution,CouleurTrace;
  CouleurSolution:=\useKV[Calisson]{Couleur};
  CouleurTrace:=\useKV[Calisson]{CouleurTrace};
  %
  %
  Rayon=\useKV[Calisson]{Rayon};
  Taille=\useKV[Calisson]{Taille};
  %
  pair A,B,C,D,E,F,O;
  O=(0,0);
  path cc;
  cc=cercles(O,Rayon);
  D=pointarc(cc,30);
  E=pointarc(cc,90);
  F=pointarc(cc,150);
  A=pointarc(cc,210);
  B=pointarc(cc,270);
  C=pointarc(cc,330);
  path Gauche,Droit,Haut,Bas,TopGauche,BasDroit;
  Gauche=F--A--B;
  Droit=E--D--C;
  Haut=F--E--D;
  Bas=A--B--C;
  TopGauche=E--F--A;
  BasDroit=D--C--B;
  %
  pair Hor,Ver,Horn,Retenir;
  Hor=(1/Taille)[E,F];
  Ver=rotation(Hor,E,60);
  Horn=rotation(Hor,E,120);
  % On positionne les points
  pair M[];
  n=0;
  % Partie Gauche -> ok
  for k=0 upto Taille-1:
  for l=0 upto Taille:
  n:=n+1;
  M[n]=E+k*(Ver-E)+l*(Hor-E);
  %dotlabel.top(decimal(n),M[n]);
  endfor;
  endfor;
  for k=Taille upto 2*Taille-1:
  for l=0 upto (2*Taille-1-k):
  n:=n+1;
  M[n]=E+k*(Ver-E)+l*(Hor-E);
  %dotlabel.top(decimal(n),M[n]);
  endfor;
  endfor;
  % Partie Droite -> ok
  for k=1 upto Taille:
  n:=n+1;
  M[n]=E+k*(Horn-E);
%  dotlabel.top(decimal(n),M[n]);
  endfor;
  for k=1 upto Taille-1:
  for l=0 upto Taille:
  n:=n+1;
  M[n]=E+k*(Ver-E)+l*(Horn-E);
%  dotlabel.top(decimal(n),M[n]);
  endfor;
  endfor;
  for k=Taille upto 2*Taille-1:
  for l=0 upto (2*Taille-1-k):
  n:=n+1;
  M[n]=E+k*(Ver-E)+l*(Horn-E);
  %dotlabel.top(decimal(n),M[n]);
  endfor;
  endfor;
  drawoptions();
  % 
  %
  string Retiens;
  Retiens="";
  %
  pair Depla;
  Depla:=Hor;
  %
  vardef LesTracesg(text t)=
  drawoptions(withcolor CouleurTrace);
  trace polygone(A,B,C,D,E,F) withpen pencircle scaled 2;
  for k=1 upto 2*Taille-1:
  trace (point(k*length Gauche/(2*Taille)) of Gauche)--(point(k*length Droit/(2*Taille)) of Droit) dashed evenly;
  trace (point(k*length Haut/(2*Taille)) of Haut)--(point(k*length Bas/(2*Taille)) of Bas) dashed evenly;
  trace (point(k*length TopGauche/(2*Taille)) of TopGauche)--(point(k*length BasDroit/(2*Taille)) of BasDroit) dashed evenly;
  endfor;
  drawoptions(withcolor CouleurTrace);
  n:=0;
  for p_=t:
  n:=n+1;
  for d=1 upto 3:
  Retiens:=substring(d-1,d) of p_;
  if d=1:Depla:=Hor
  elseif d=2:Depla:=Ver
  else : Depla:=Horn
  fi;
  if (Retiens="0") or (Retiens="f"):
  elseif Retiens="t":
  trace (chemin(Depla,E) shifted (M[n]-E)) withpen pencircle scaled 2 withcolor CouleurTrace;
  elseif Retiens="s":
  if Solution:
  trace (chemin(Depla,E) shifted (M[n]-E)) withpen pencircle scaled 2 withcolor CouleurSolution;
  fi;
  fi;
  endfor;
  endfor;
  enddef;
  % 
  vardef LesTracesd(text t)=
  %if Taille=2:
  %Hor:=(1/Taille)[E,F];
  %Ver:=rotation(Hor,E,60);
  %Horn:=rotation(Hor,E,120);
  %fi;
  for p_=t:
  n:=n+1;
  for d=1 upto 3:
  Retiens:=substring(d-1,d) of p_;
  if d=1:Depla:=Horn
  elseif d=2:Depla:=Ver
  else : Depla:=Hor
  fi;
%  fill ((fullcircle scaled 3mm) shifted M[n]);
  if (Retiens="0") or (Retiens="f"):
  elseif Retiens="t":
  trace (chemin(Depla,E) shifted (M[n]-E)) withpen pencircle scaled 2 withcolor CouleurTrace;
  elseif Retiens="s":
  if Solution:
  trace (chemin(Depla,E) shifted (M[n]-E)) withpen pencircle scaled 2 withcolor CouleurSolution;
  fi;
  fi;
  endfor;
  endfor;
  enddef;
}

\NewDocumentCommand\BuildCalisson{m m}{%
  \mplibforcehmode
  \begin{mplibcode}
    \BuildCalissonCode
    LesTracesg(#1);
    LesTracesd(#2);
  \end{mplibcode}
}%