%@AUTEUR:Guillaume Connan
prologues:=2;

input courbes;
input geo;

color vert_e, turquoise, orange, vert_fonce, rose, vert_mer, bleu_ciel, or, rouge_v,bleu_m,bleu,bleu_f;
vert_e:=(0,0.790002,0.340007);
turquoise:=(0.250999,0.878399,0.815699);
orange:=(0.589999,0.269997,0.080004);
vert_fonce:=(0,1.4*0.392193,0);
rose:=(1.0, 0.752907, 0.796106);
bleu_ciel:=(1.2*0.529405,1.2*0.807794,1);%.2*0.921598);
or:=(1,0.843104,0);
rouge_v:=(0.829997,0.099994,0.119999);
bleu_m:=(0.7*0.529405,0.7*0.807794,0.7);%*0.921598);
bleu_f:=(0.211762,0.3231176,0.3686392);
bleu:=(0.529405,0.807794,1);


beginfig(1);
  numeric u;
  u:=1cm;
  
  pair o,a,b,c,d;
  o=origin;
  a=(sqrt(3)*u,-u);
  b=a rotated 120;
  c=b rotated 120;
  d=a scaled -0.5;
  
  drawarrow  o--a withcolor bleu_f withpen pencircle scaled 1.5bp;
  drawarrow o--b withcolor bleu_f withpen pencircle scaled 1.5bp;
  drawarrow o--c withcolor bleu_f withpen pencircle scaled 1.5bp;
  drawarrow o--d withcolor bleu_f withpen pencircle scaled 1.5bp;
  drawarrow d--b dashed evenly withcolor bleu_f withpen pencircle scaled 1.5bp;
  drawarrow d--a dashed evenly withcolor bleu_f withpen pencircle scaled 1.5bp;
  
  label.bot(btex $\Omega$ etex,o shifted(0,-0.1*u));
  label.rt(btex $A$ etex,a);
  label.top(btex $B$ etex,b);
  label.lft(btex $C$ etex,c);
  label.lft(btex $D$ etex, d);
  label.bot(btex $\overrightarrow{u}$ etex, o shifted (1.5*u,-2.2*u));
  label.rt(btex $\overrightarrow{v}$ etex, o shifted (u,-1.5*u));
    
  vardef axes =
    drawarrow (ux*xmin,0)shifted (u,-2*u) -- (ux*xmax,0)shifted (u,-2*u); % axe des x
    drawarrow (0,uy*ymin)shifted (u,-2*u) -- (0,uy*ymax)shifted (u,-2*u)  ; % axe des y
    label.lrt(btex $x$ etex,(xmax*ux,0)shifted (u,-2*u)); % label de l'axe des x
    label.urt(btex $y$ etex,(0,ymax*uy)shifted (u,-2*u)); % label de l'axe des y
  enddef;
  
% Déclarations des constantes
  ux:=1cm; uy:=ux;
  xmin:=-4.5; xmax:=4.5;
  ymin:=-.5; ymax:=4.5;
  coefficient:=1; % coefficient d'échelle

%Tracé des axes
  axes;
  label.llft(btex $0$ etex,(-.1*ux,-.15*uy)shifted (u,-2*u));
  drawarrow o shifted (u,-2*u)--o shifted(2*u,-2*u) withpen pencircle scaled 1.5bp withcolor 0.2white;
  drawarrow o shifted (u,-2*u)--o shifted(u,-u) withpen pencircle scaled 1.5bp withcolor 0.2white;
endfig;
end