%%%
% Frise temporelle
%%%
\setKVdefault[ClesFrise]{Longueur=8cm,Fleches=false,Ecart=5mm,Sup=false}%

\newtoks\toklistefrise%
\def\UpdatetoksFrise#1/#2/#3\nil{\addtotok\toklistefrise{"#1","#2","#3",}}%

\newcommand\Frise[2][]{%
  \useKVdefault[ClesFrise]%
  \setKV[ClesFrise]{#1}%
  \setsepchar[*]{,*/}\ignoreemptyitems%
  \readlist*\ListeTempo{#2}%
  \toklistefrise{}%
  \foreachitem\compteur\in\ListeTempo{\expandafter\UpdatetoksFrise\compteur\nil}
  \MPDessineFrise{\the\toklistefrise}%
}

\newcommand\MPDessineFrise[1]{%
  \ifluatex
  \mplibforcehmode
  \begin{mplibcode}
    Longueur:=\useKV[ClesFrise]{Longueur};
    Ecart:=\useKV[ClesFrise]{Ecart};
    boolean Fleches;
    Fleches=\useKV[ClesFrise]{Fleches};
    boolean Sup;
    Sup=\useKV[ClesFrise]{Sup};
    pair A[],B;
    A0=(0,0);
    B-A0=(Longueur,0);
    n=0;
    for p_=#1:
    n:=n+1;
    endfor;
    for k=1 upto ((n div 3)-2):
    A[k]=(k/((n div 3)-1))[A0,B];
    endfor;
    A[(n div 3)-1]=B;
    if Sup:
      for k=0 upto ((n div 3)-1):
      trace (u*(0,-0.1)--u*(0,0.1)) shifted A[k];
      endfor;
      % on définit les points milieu des fleches
      path Fleche[];
      pair C[];
      for k=0 upto ((n div 3)-3):
      Fleche[k]=(A[k]{dir-30}..{dir30}A[k+1]) shifted((0,-Ecart));
      C[k]=point (0.5*length Fleche[k]) of Fleche[k];
      endfor;
      Fleche[(n div 3)-2]=%(A[(n div 3)-3]{dir-30}..{dir30}A[(n div 3)-1]) shifted((0,-Ecart));
      chemin(A[(n div 3)-3]+(0,-Ecart),A[(n div 3)-3]+(0,-4*Ecart),A[(n div 3)-1]+(0,-4*Ecart),A[(n div 3)-1]+(0,-Ecart));
      C[(n div 3)-1]=point (0.5*length Fleche[(n div 3)-2]) of Fleche[(n div 3)-2];
      Fleche[(n div 3)-1]=(A[(n div 3)-1]{dir-150}..{dir150}A[(n div 3)-2]) shifted((0,-Ecart));
      C[(n div 3)-2]=point (0.5*length Fleche[(n div 3)-1]) of Fleche[(n div 3)-1];
      % 
      maxx:=n;
      trace segment(A0,A[(n div 3)-2]);
      trace segment(A[(n div 3)-2],A[(n div 3)-1]) dashed evenly;
      n:=0;
      labeloffset:=labeloffset*2;
      for p_=#1:
      n:=n+1;
      if n<maxx+1:
      if (n mod 3)=1:
      label.top(TEX(""&p_&""),A[n div 3]);
      elseif (n mod 3)=2:
      label.top(TEX(""&p_&""),C[n div 3]);%
      elseif (n mod 3)=0:
      label.bot(TEX(""&p_&""),C[(n div 3)-1]);
      fi;
      fi;
      endfor;
      drawoptions();
      labeloffset:=labeloffset/2;
      if Fleches:
      for k=0 upto ((n div 3)-4):
      drawarrow Fleche[k];
      endfor;
      drawarrow Fleche[(n div 3)-1];
      drawarrow Fleche[(n div 3)-2];
      drawarrow (A[(n div 3)-1]{dir-150}..{dir150}A[(n div 3)-2]) shifted((0,-Ecart));
      for k=0 upto ((n div 3)-2):
      draw segment(A[k],A[k]+(0,-Ecart)) dashed evenly;
      endfor;
      draw segment(A[(n div 3)-1],A[(n div 3)-1]+(0,-Ecart)) dashed evenly;
      fi;
    %fin Sup
    else:
      for k=0 upto ((n div 3)-1):
      trace (u*(0,-0.1)--u*(0,0.1)) shifted A[k];
      endfor;
      % on définit les points milieu des fleches
      path Fleche[];
      pair C[];
      for k=0 upto ((n div 3)-2):
      Fleche[k]=(A[k]{dir-30}..{dir30}A[k+1]) shifted((0,-Ecart));
      C[k]=point (0.5*length Fleche[k]) of Fleche[k];
      endfor;
      maxx:=n;
      trace segment(A0,A[(n div 3)-1]);
      n:=0;
      labeloffset:=labeloffset*2;
      for p_=#1:
      n:=n+1;
      if n<maxx:
      if (n mod 3)=1:
      label.top(TEX(""&p_&""),A[n div 3]);
      elseif (n mod 3)=2:
      if (n div 3)<((maxx div 3)-1):label.top(TEX(""&p_&""),C[n div 3]);fi;
      elseif (n mod 3)=0:
      label.bot(TEX(""&p_&""),C[(n div 3)-1]);
      fi;
      fi;
      endfor;
      labeloffset:=labeloffset/2;
      if Fleches:
      for k=0 upto ((n div 3)-2):
      draw segment(A[k],A[k]+(0,-Ecart)) dashed evenly;
      drawarrow Fleche[k];
      endfor;
      draw segment(A[(n div 3)-1],A[(n div 3)-1]+(0,-Ecart)) dashed evenly;
      fi;
    fi;
  \end{mplibcode}
  \else
    \begin{mpost}[mpsettings={%
    Longueur:=\useKV[ClesFrise]{Longueur};
    Ecart:=\useKV[ClesFrise]{Ecart};
    boolean Fleches;
    Fleches=\useKV[ClesFrise]{Fleches};
    boolean Sup;
    Sup=\useKV[ClesFrise]{Sup};
    }]
    pair A[],B;
    A0=(0,0);
    B-A0=(Longueur,0);
    n=0;
    for p_=#1:
    n:=n+1;
    endfor;
    for k=1 upto ((n div 3)-2):
    A[k]=(k/((n div 3)-1))[A0,B];
    endfor;
    A[(n div 3)-1]=B;
    if Sup:
      for k=0 upto ((n div 3)-1):
      trace (u*(0,-0.1)--u*(0,0.1)) shifted A[k];
      endfor;
      % on définit les points milieu des fleches
      path Fleche[];
      pair C[];
      for k=0 upto ((n div 3)-3):
      Fleche[k]=(A[k]{dir-30}..{dir30}A[k+1]) shifted((0,-Ecart));
      C[k]=point (0.5*length Fleche[k]) of Fleche[k];
      endfor;
      Fleche[(n div 3)-2]=%(A[(n div 3)-3]{dir-30}..{dir30}A[(n div 3)-1]) shifted((0,-Ecart));
      chemin(A[(n div 3)-3]+(0,-Ecart),A[(n div 3)-3]+(0,-4*Ecart),A[(n div 3)-1]+(0,-4*Ecart),A[(n div 3)-1]+(0,-Ecart));
      C[(n div 3)-1]=point (0.5*length Fleche[(n div 3)-2]) of Fleche[(n div 3)-2];
      Fleche[(n div 3)-1]=(A[(n div 3)-1]{dir-150}..{dir150}A[(n div 3)-2]) shifted((0,-Ecart));
      C[(n div 3)-2]=point (0.5*length Fleche[(n div 3)-1]) of Fleche[(n div 3)-1];
      % 
      maxx:=n;
      trace segment(A0,A[(n div 3)-2]);
      trace segment(A[(n div 3)-2],A[(n div 3)-1]) dashed evenly;
      n:=0;
      labeloffset:=labeloffset*2;
      for p_=#1:
      n:=n+1;
      if n<maxx+1:
      if (n mod 3)=1:
      label.top(LATEX(""&p_&""),A[n div 3]);
      elseif (n mod 3)=2:
      label.top(LATEX(""&p_&""),C[n div 3]);%
      elseif (n mod 3)=0:
      label.bot(LATEX(""&p_&""),C[(n div 3)-1]);
      fi;
      fi;
      endfor;
      drawoptions();
      labeloffset:=labeloffset/2;
      if Fleches:
      for k=0 upto ((n div 3)-4):
      drawarrow Fleche[k];
      endfor;
      drawarrow Fleche[(n div 3)-1];
      drawarrow Fleche[(n div 3)-2];
      drawarrow (A[(n div 3)-1]{dir-150}..{dir150}A[(n div 3)-2]) shifted((0,-Ecart));
      for k=0 upto ((n div 3)-2):
      draw segment(A[k],A[k]+(0,-Ecart)) dashed evenly;
      endfor;
      draw segment(A[(n div 3)-1],A[(n div 3)-1]+(0,-Ecart)) dashed evenly;
      fi;
    %fin Sup
    else:
      for k=0 upto ((n div 3)-1):
      trace (u*(0,-0.1)--u*(0,0.1)) shifted A[k];
      endfor;
      % on définit les points milieu des fleches
      path Fleche[];
      pair C[];
      for k=0 upto ((n div 3)-2):
      Fleche[k]=(A[k]{dir-30}..{dir30}A[k+1]) shifted((0,-Ecart));
      C[k]=point (0.5*length Fleche[k]) of Fleche[k];
      endfor;
      maxx:=n;
      trace segment(A0,A[(n div 3)-1]);
      n:=0;
      labeloffset:=labeloffset*2;
      for p_=#1:
      n:=n+1;
      if n<maxx:
      if (n mod 3)=1:
      label.top(LATEX(""&p_&""),A[n div 3]);
      elseif (n mod 3)=2:
      if (n div 3)<((maxx div 3)-1):label.top(LATEX(""&p_&""),C[n div 3]);fi;
      elseif (n mod 3)=0:
      label.bot(LATEX(""&p_&""),C[(n div 3)-1]);
      fi;
      fi;
      endfor;
      labeloffset:=labeloffset/2;
      if Fleches:
      for k=0 upto ((n div 3)-2):
      draw segment(A[k],A[k]+(0,-Ecart)) dashed evenly;
      drawarrow Fleche[k];
      endfor;
      draw segment(A[(n div 3)-1],A[(n div 3)-1]+(0,-Ecart)) dashed evenly;
      fi;
    fi;
  \end{mpost}
  \fi
}