def EffectueSommeFractions(fr1, fr2, s, pre, post):
if s == "+":
fr = fr1 + fr2
else:
fr = fr1 - fr2
cor = []
if fr1.n and fr2.n:
ppcm = Arithmetique.ppcm(fr2.d, fr1.d)
if abs(fr1.d) - abs(fr2.d):
cor.append("%s%s%s%s%s" % (pre, Fractions.TeX(fr1, True,
coef=ppcm // abs(fr1.d)), s, Fractions.TeX(fr2,
True, coef=ppcm // abs(fr2.d)), post))
if pre.rstrip().endswith('(') and post.lstrip().startswith(')'):
pre = pre.rstrip()[:len(pre.rstrip()) - 1]
post = post.lstrip()[1:]
cor.append("%s%s%s" % (pre, Fractions.TeX(fr, True), post))
if fr.n:
frs = Fractions.simplifie(fr)
if abs(frs.n) != abs(fr.n):
cor.append("%s%s%s" % (pre, Fractions.TeX(frs, True,
coef=fr.d // frs.d), post))
cor.append("%s%s%s" % (pre, Fractions.TeX(frs, True),
post))
else:
cor.append("%s%s%s" % (pre, Fractions.TeX(fr, True), post))
return cor
def __add__(self, fraction):
if (isinstance(fraction,int) or isinstance(fraction,float)):
fraction=Fractions(fraction)
if isinstance(fraction,Fractions):
ppcm = Arithmetique.ppcm(self.d, fraction.d)
return Fractions((self.n * ppcm) // self.d + (fraction.n * ppcm) //
fraction.d, ppcm)
else:
return fraction+self
def TeXProduit(self, fraction):
if self.d < 0:
(self.n, self.d) = (-self.n, -self.d)
if fraction.d < 0:
(fraction.n, fraction.d) = (-fraction.n, -fraction.d)
c1 = abs(Arithmetique.pgcd(self.n, fraction.d))
c2 = abs(Arithmetique.pgcd(self.d, fraction.n))
simplifiable = 0 # permet de savoir si on a simplifiée le produit
if c1 > 1:
n1 = "%s \\times \\cancel{%s}" % (self.n // c1, c1)
d2 = "%s \\times \\cancel{%s}" % (fraction.d // c1, c1)
else:
n1 = self.n
d2 = fraction.d
if c2 > 1:
d1 = "%s \\times \\bcancel{%s}" % (self.d // c2, c2)
n2 = "%s \\times \\bcancel{%s}" % (fraction.n // c2, c2)
else:
d1 = self.d
n2 = fraction.n
return "%s \\times %s" % (Fractions.TeX(Fractions(n1, d1), signe=
None), Fractions.TeX(Fractions(n2, d2),
signe=None))
def simplifie(self):
# retourne la fraction rendue irréductible
pgcd = Arithmetique.pgcd(self.n, self.d)
return Fractions(self.n // pgcd, self.d // pgcd)