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Calcule l’image d’un intervalle par la fonction carré.

usage : carre(“]-1,2]”) affiche “[0,4]”

def carre(interval):
 c0,c1=interval[0],interval[-1]
 a,b=map(int,interval[1:-1].split(","))
 inv={"]":"[","[":"]"}

 ch="%s%d,%d%s"
 if a*b>0:
  if a>0:
   print(ch%(c0,a*a,b*b,c1))
  else:
   print(ch%(inv[c1],b*b,a*a,inv[c0]))
 elif a*b==0:
  if a*a>0:
   print(ch%(inv[c1],0,a*a,inv[c0]))
  else:
   print(ch%(c0,0,b*b,c1))
 else:
  if a*a==b*b:
   if c0=="]" and c1=="[":
    print(ch%("[",0,a*a,"["))
   else:
    print(ch%("[",0,a*a,"]"))
  elif a*a<b*b:
   print(ch%("[",0,b*b,c1))
  else:
   print(ch%("[",0,a*a,inv[c0]))