%%%
% Number Hive
%%%
\setKVdefault[NumberHive]{Negatif=false,Produit=false,Niveau=8,Double=false,ListeCouleurs={Cornsilk,LightSteelBlue},CouleurCase=false,Jeton=false,Graines=false,Aide=false,UniteHexa=6mm}%
\defKV[NumberHive]{Cases=\setKV[NumberHive]{CouleurCase}}%
\defKV[NumberHive]{Jetons=\setKV[NumberHive]{Jeton}}%
\defKV[NumberHive]{Graine=\setKV[NumberHive]{Graines}}%

\newtoks\toklistenumberhive%
\newtoks\toklistecasescoloreesNH%

\def\UpdatetoksNHive#1\nil{\addtotok\toklistenumberhive{"#1",}}%
\def\UpdatetoksCCNHive#1\nil{\addtotok\toklistecasescoloreesNH{#1,}}%

\NewDocumentCommand\NumberHive{o}{%
  \useKVdefault[NumberHive]%
  \setKV[NumberHive]{#1}%
  \toklistenumberhive{}%
  \toklistecasescoloreesNH{}%
  \ifboolKV[NumberHive]{CouleurCase}{%
    \xdef\PfCFooNH{\useKV[NumberHive]{Cases}}%
    \setsepchar{,}\ignoreemptyitems%
    \readlist*\ListeCasesColoreesNH{\PfCFooNH}%
    \reademptyitems%
    \foreachitem\compteur\in\ListeCasesColoreesNH{\expandafter\UpdatetoksCCNHive\compteur\nil}%
  }{}%
  \xdef\ListeAvantCouleurs{\useKV[NumberHive]{ListeCouleurs}}%
  \ifboolKV[NumberHive]{Graines}{\PfCGraineAlea{\useKV[NumberHive]{Graine}}}{}%
  \ifboolKV[NumberHive]{Produit}{%
    \xdef\PfCNHListe{1,2,3,4,5,6,7,8,9,10,11,12,14,16,18,20,22,24,15,21,27,30,33,36,28,32,40,44,48,25,35,45,50,55,60,42,54,66,72,56,63,70,77,84,64,72,80,88,96,81,90,99,108,100,110,120,121,132,144}%
    \ifboolKV[NumberHive]{Double}{%
      \MelangeListe{\PfCNHListe}{59}%
    }{%
      \xdef\PfCNHListe{\PfCNHListe,\PfCNHListe}%
      \MelangeListe{\PfCNHListe}{46}%
    }%
  }{%
    \ifboolKV[NumberHive]{Negatif}{%
      \xdef\PfCNHListe{-12,-11,-10,-9,-8,-7,-5,-4,-3,-2,-1,0,1,2,3,4,5,7,8,9,10,11,12}%
    }{%
      \xdef\PfCNHListe{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}%
    }%
    \xdef\PfCNHListe{\PfCNHListe,\PfCNHListe}%
    \MelangeListe{\PfCNHListe}{46}%
  }%
  \setsepchar{,}%
  \readlist*\ListeCompoNH{\faa}%
  \foreachitem\compteur\in\ListeCompoNH{\expandafter\UpdatetoksNHive\compteur\nil}%
  \begin{tikzpicture}
    \node[xshift=1cm,yshift=-1cm,rotate=45] at (0,0) {\includegraphics[scale=0.1]{LogoNumberHive.png}};
    \node[anchor=north west] at (0,0) {\BuildNumberHiveAdditif{\the\toklistenumberhive}{\useKV[NumberHive]{Niveau}}{\useKV[NumberHive]{Jetons}}{\ListeAvantCouleurs}{\the\toklistecasescoloreesNH}};
    \end{tikzpicture}    
}% 

\NewDocumentCommand\BuildNumberHiveAdditif{mmmmm}{%
  \ifluatex
  \mplibforcehmode
  \begin{mplibcode}
    boolean Produit,Negatif,CouleurCase,Double,Jeton,Aide;
    Double=\useKV[NumberHive]{Double};
    Produit=\useKV[NumberHive]{Produit};
    Negatif=\useKV[NumberHive]{Negatif};
    CouleurCase=\useKV[NumberHive]{CouleurCase};
    Jeton=\useKV[NumberHive]{Jeton};
    Aide=\useKV[NumberHive]{Aide};
    UniteHexa=\useKV[NumberHive]{UniteHexa};
    
    numeric JetonNegatif[];
    JetonNegatif[1]=-6;
    JetonNegatif[2]=-5;
    JetonNegatif[3]=-4;
    JetonNegatif[4]=-3;
    JetonNegatif[5]=-2;
    JetonNegatif[6]=-1;
    JetonNegatif[7]=1;
    JetonNegatif[8]=2;
    JetonNegatif[9]=3;
    JetonNegatif[10]=4;
    JetonNegatif[11]=5;
    JetonNegatif[12]=6;

    color C[];
    nb=0;
    
    vardef RecupCouleurs(text t)=
    for p_=t:
    nb:=nb+1;
    C[nb]=p_;
    endfor;
    enddef;

    RecupCouleurs(#4);
    
    pair bu,bv;
    bu=(1,0);
    bv=(0,1);
    vardef unithexa=
    (cosd(30)*bu+sind(30)*bv)--(cosd(90)*bu+sind(90)*bv)--(cosd(150)*bu+sind(150)*bv)--(cosd(210)*bu+sind(210)*bv)--(cosd(270)*bu+sind(270)*bv)--(cosd(330)*bu+sind(330)*bv)--cycle
    enddef;
    
    pair A[];
    numeric numcase;
    
    vardef PlacerAncres=
    numcase:=0;
    if Double:
    for n=5 upto #2:
    for k=1 upto n:
    numcase:=numcase+1;
    A[numcase]:=(0,0)  shifted((3-n)*(UniteHexa*cosd(30),3*UniteHexa*sind(30))+k*(2*UniteHexa*cosd(30),0));
    endfor;
    endfor;
    % ligne n-1
    for k=1 upto #2-1:
    numcase:=numcase+1;
    A[numcase]:=(0,0) shifted(((3-(#2-1))*UniteHexa*cosd(30),3*UniteHexa*sind(30))+(k*2*UniteHexa*cosd(30),-(3*(#2-1))*UniteHexa*sind(30)));
    endfor;
    %dernières lignes
    for n=#2+2 upto #2+5:
    for k=(n-#2) upto #2+1:
    numcase:=numcase+1;
    A[numcase]:=(0,0) shifted((3-n)*(UniteHexa*cosd(30),3*UniteHexa*sind(30))+k*(2*UniteHexa*cosd(30),0));
    endfor;
    endfor;
    %%
    else:
    for n=3 upto #2:
    for k=1 upto n:
    numcase:=numcase+1;
    A[numcase]:=(0,0)  shifted((3-n)*(UniteHexa*cosd(30),3*UniteHexa*sind(30))+k*(2*UniteHexa*cosd(30),0));
    endfor;
    endfor;
    % ligne n-1
    for k=1 upto #2-1:
    numcase:=numcase+1;
    A[numcase]:=(0,0) shifted(((3-(#2-1))*UniteHexa*cosd(30),3*UniteHexa*sind(30))+(k*2*UniteHexa*cosd(30),-(3*(#2-1))*UniteHexa*sind(30)));
    endfor;
    %ligne n
    for k=1 upto #2-2:
    numcase:=numcase+1;
    A[numcase]:=(0,0) shifted(((3-(#2-2))*UniteHexa*cosd(30),3*UniteHexa*sind(30))+(k*2*UniteHexa*cosd(30),-(3*#2)*UniteHexa*sind(30)));
    endfor;
    fi;
    NbTotalCases=numcase;
    enddef;

    vardef PlacerCasesColorees(text t)=
    rang:=0;
    for p_=t:
    rang:=rang+1;
    fill ((unithexa scaled UniteHexa) shifted A[p_]) withcolor if (rang mod 2)=1:C[1] else: C[2] fi;
    endfor;
    enddef;

    vardef TracerHexagones=
    for k=1 upto NbTotalCases:
    trace (unithexa scaled UniteHexa) shifted A[k];
    if Aide:
    label.top(TEX("\tiny"&decimal(k)),A[k]+(0,-UniteHexa));
    fi;
    endfor;
    enddef;
    
    vardef PlacerNombres(text t)=
    nbcase:=0;
    for p_=t:
    if nbcase<numcase:
    nbcase:=nbcase+1;
    label(TEX("\num{"&p_&"}"),A[nbcase]);
    fi;
    endfor;
    enddef;

    vardef PlaceJeton(expr ja,jb)=
    drawoptions(withpen pencircle scaled 1.15);
    trace cercles(BPlateau[ja],0.75*UniteHexa);
    trace cercles(BPlateau[jb] shifted(5*2*UniteHexa*cosd(30)+3*3mm,0),0.75*UniteHexa);
    drawoptions();
    enddef;

    pair BPlateau[];
    pair Decal;
    
    vardef Plateau=
    picture PGauche;
    PGauche=image(
      NomCase:=0;
      if Double:
      Decalage:=10;
      else:
      Decalage:=5;
      fi;
      for l=0 upto 2:
      for k=3 downto 0:%
      NomCase:=NomCase+1;
      Decal:=(-((k-1)*2*UniteHexa*cosd(30)+k*3mm*cosd(0),(#2+Decalage)*2*UniteHexa*sind(30)+l*(2*UniteHexa*sind(30)+UniteHexa)));
      BPlateau[NomCase]=(0,0) shifted Decal;
      fill ((unithexa scaled UniteHexa) shifted Decal)  withcolor 0.75white;
      trace ((unithexa scaled UniteHexa)) shifted Decal;
      if Negatif:
      label(TEX("$"&decimal(JetonNegatif[NomCase])&"$"),(0,0) shifted Decal);
      else:
      label(TEX(decimal(NomCase)),(0,0) shifted Decal);
      fi;
      endfor;
      endfor;
    );
    draw PGauche;
    draw PGauche shifted(5*2*UniteHexa*cosd(30)+3*3mm,0);
    if Jeton:
    PlaceJeton(#3);
    fi;
    if Produit:
    label(TEX("\Huge$\times$"),(0,0) shifted(-(-4*UniteHexa*cosd(30),(#2+Decalage)*2*UniteHexa*sind(30)+1*(2*UniteHexa*sind(30)+UniteHexa))));
    else:
    label(TEX("\Huge$+$"),(0,0) shifted(-(-4*UniteHexa*cosd(30),(#2+Decalage)*2*UniteHexa*sind(30)+1*(2*UniteHexa*sind(30)+UniteHexa))));
    fi;
    enddef;    

    PlacerAncres;
    if CouleurCase:
    PlacerCasesColorees(#5);
    fi;
    TracerHexagones;
    PlacerNombres(#1);
    Plateau;
  \end{mplibcode}
  \else%
  \begin{mpost}[mpsettings={boolean Produit,Negatif,CouleurCase,Double,Jeton,Aide;
    Double=\useKV[NumberHive]{Double};
    Produit=\useKV[NumberHive]{Produit};
    Negatif=\useKV[NumberHive]{Negatif};
    CouleurCase=\useKV[NumberHive]{CouleurCase};
    Jeton=\useKV[NumberHive]{Jeton};
    Aide=\useKV[NumberHive]{Aide};
    UniteHexa=\useKV[NumberHive]{UniteHexa};
    }]
    numeric JetonNegatif[];
    JetonNegatif[1]=-6;
    JetonNegatif[2]=-5;
    JetonNegatif[3]=-4;
    JetonNegatif[4]=-3;
    JetonNegatif[5]=-2;
    JetonNegatif[6]=-1;
    JetonNegatif[7]=1;
    JetonNegatif[8]=2;
    JetonNegatif[9]=3;
    JetonNegatif[10]=4;
    JetonNegatif[11]=5;
    JetonNegatif[12]=6;
    
    color C[];
    nb=0;
    
    vardef RecupCouleurs(text t)=
    for p_=t:
    nb:=nb+1;
    C[nb]=p_;
    endfor;
    enddef;

    RecupCouleurs(#4);
    
    pair bu,bv;
    bu=(1,0);
    bv=(0,1);
    vardef unithexa=
    (cosd(30)*bu+sind(30)*bv)--(cosd(90)*bu+sind(90)*bv)--(cosd(150)*bu+sind(150)*bv)--(cosd(210)*bu+sind(210)*bv)--(cosd(270)*bu+sind(270)*bv)--(cosd(330)*bu+sind(330)*bv)--cycle
    enddef;
    
    pair A[];
    numeric numcase;
    
    vardef PlacerAncres=
    numcase:=0;
    if Double:
    for n=5 upto #2:
    for k=1 upto n:
    numcase:=numcase+1;
    A[numcase]:=(0,0)  shifted((3-n)*(UniteHexa*cosd(30),3*UniteHexa*sind(30))+k*(2*UniteHexa*cosd(30),0));
    endfor;
    endfor;
    % ligne n-1
    for k=1 upto #2-1:
    numcase:=numcase+1;
    A[numcase]:=(0,0) shifted(((3-(#2-1))*UniteHexa*cosd(30),3*UniteHexa*sind(30))+(k*2*UniteHexa*cosd(30),-(3*(#2-1))*UniteHexa*sind(30)));
    endfor;
    %dernières lignes
    for n=#2+2 upto #2+5:
    for k=(n-#2) upto #2+1:
    numcase:=numcase+1;
    A[numcase]:=(0,0) shifted((3-n)*(UniteHexa*cosd(30),3*UniteHexa*sind(30))+k*(2*UniteHexa*cosd(30),0));
    endfor;
    endfor;
    %%
    else:
    for n=3 upto #2:
    for k=1 upto n:
    numcase:=numcase+1;
    A[numcase]:=(0,0)  shifted((3-n)*(UniteHexa*cosd(30),3*UniteHexa*sind(30))+k*(2*UniteHexa*cosd(30),0));
    endfor;
    endfor;
    % ligne n-1
    for k=1 upto #2-1:
    numcase:=numcase+1;
    A[numcase]:=(0,0) shifted(((3-(#2-1))*UniteHexa*cosd(30),3*UniteHexa*sind(30))+(k*2*UniteHexa*cosd(30),-(3*(#2-1))*UniteHexa*sind(30)));
    endfor;
    %ligne n
    for k=1 upto #2-2:
    numcase:=numcase+1;
    A[numcase]:=(0,0) shifted(((3-(#2-2))*UniteHexa*cosd(30),3*UniteHexa*sind(30))+(k*2*UniteHexa*cosd(30),-(3*#2)*UniteHexa*sind(30)));
    endfor;
    fi;
    NbTotalCases=numcase;
    enddef;

    vardef PlacerCasesColorees(text t)=
    rang:=0;
    for p_=t:
    rang:=rang+1;
    fill ((unithexa scaled UniteHexa) shifted A[p_]) withcolor if (rang mod 2)=1:C[1] else: C[2] fi;
    endfor;
    enddef;

    vardef TracerHexagones=
    for k=1 upto NbTotalCases:
    trace (unithexa scaled UniteHexa) shifted A[k];
    if Aide:
    label.top(LATEX("\tiny"&decimal(k)),A[k]+(0,-UniteHexa));
    fi;
    endfor;
    enddef;
    
    vardef PlacerNombres(text t)=
    nbcase:=0;
    for p_=t:
    if nbcase<numcase:
    nbcase:=nbcase+1;
    label(LATEX("\num{"&p_&"}"),A[nbcase]);
    fi;
    endfor;
    enddef;

    vardef PlaceJeton(expr ja,jb)=
    drawoptions(withpen pencircle scaled 1.15);
    trace cercles(BPlateau[ja],0.75*UniteHexa);
    trace cercles(BPlateau[jb] shifted(5*2*UniteHexa*cosd(30)+3*3mm,0),0.75*UniteHexa);
    drawoptions();
    enddef;

    pair BPlateau[];
    pair Decal;
    
    vardef Plateau=
    picture PGauche;
    PGauche=image(
      NomCase:=0;
      if Double:
      Decalage:=10;
      else:
      Decalage:=5;
      fi;
      for l=0 upto 2:
      for k=3 downto 0:%
      NomCase:=NomCase+1;
      Decal:=(-((k-1)*2*UniteHexa*cosd(30)+k*3mm*cosd(0),(#2+Decalage)*2*UniteHexa*sind(30)+l*(2*UniteHexa*sind(30)+4*3mm)));
      BPlateau[NomCase]=(0,0) shifted Decal;
      fill ((unithexa scaled UniteHexa) shifted Decal)  withcolor 0.75white;
      trace ((unithexa scaled UniteHexa)) shifted Decal;
      if Negatif:
      label(LATEX("$"&decimal(JetonNegatif[NomCase])&"$"),(0,0) shifted Decal);
      else:
      label(LATEX(decimal(NomCase)),(0,0) shifted Decal);
      fi;
      endfor;
      endfor;
    );
    draw PGauche;
    draw PGauche shifted(5*2*UniteHexa*cosd(30)+3*3mm,0);
    if Jeton:
    PlaceJeton(#3);
    fi;
    if Produit:
    label(LATEX("\Huge$\times$"),(0,0) shifted(-(-4*UniteHexa*cosd(30),(#2+Decalage)*2*UniteHexa*sind(30)+1*(2*UniteHexa*sind(30)+4*3mm))));
    else:
    label(LATEX("\Huge$+$"),(0,0) shifted(-(-4*UniteHexa*cosd(30),(#2+Decalage)*2*UniteHexa*sind(30)+1*(2*UniteHexa*sind(30)+4*3mm))));
    fi;
    enddef;    

    PlacerAncres;
    if CouleurCase:
    PlacerCasesColorees(#5);
    fi;
    TracerHexagones;
    PlacerNombres(#1);
    Plateau;
  \end{mpost}
  \fi
}