def __add__(self, other):
if isinstance(other, RacineDegre2):
if self.radicande == other.radicande or self.radicande == 0 or other.radicande == 0:
radicande = max(self.radicande, other.radicande)
premier, second = self, other
else:
premier = self.simplifie()
second = other.simplifie()
if self.radicande == other.radicande or self.radicande == 0 or other.radicande == 0:
radicande = max(self.radicande, other.radicande)
else:
return NotImplemented
denominateur = ppcm(premier.denominateur, second.denominateur)
facteur1 = denominateur / premier.denominateur
facteur2 = denominateur / second.denominateur
# if self.radicande==other.radicande:
coeff = premier.coeff * facteur1 * (
premier.radicande !=
0) + second.coeff * facteur2 * (second.radicande != 0)
if coeff == 0:
radicande = 0
return RacineDegre2(
premier.numerateur * facteur1 + second.numerateur * facteur2,
denominateur, coeff, radicande)
elif isinstance(other, int):
return self + RacineDegre2(other)
elif isinstance(other, Fraction):
return self + RacineDegre2(other.numerateur, other.denominateur)
def __add__(self, other):
if isinstance(other, RacineDegre2):
if self.radicande == other.radicande or self.radicande == 0 or other.radicande == 0:
radicande = max(self.radicande, other.radicande)
premier, second = self, other
else:
premier = self.simplifie()
second = other.simplifie()
if self.radicande == other.radicande or self.radicande == 0 or other.radicande == 0:
radicande = max(self.radicande, other.radicande)
else:
return NotImplemented
denominateur = ppcm(premier.denominateur, second.denominateur)
facteur1 = denominateur / premier.denominateur
facteur2 = denominateur / second.denominateur
# if self.radicande==other.radicande:
coeff = premier.coeff * facteur1 * (premier.radicande != 0) + second.coeff * facteur2 * (second.radicande != 0)
if coeff == 0:
radicande = 0
return RacineDegre2(premier.numerateur * facteur1 + second.numerateur * facteur2,
denominateur,
coeff,
radicande)
elif isinstance(other, int):
return self +RacineDegre2(other)
elif isinstance(other, Fraction):
return self +RacineDegre2(other.numerateur, other.denominateur)
def __sub__(self, *others):
"""*object*\ .\ **__sub__**\ (*other*)
``p.__sub__(q)`` est équivalent à ``p - q`` calcule la différence de deux fractions.
*other* peut être une chaîne représentant une fraction, un entier ou un réel.
Pour plus de détails, voir :py:func:`__add__`"""
from pyromaths.classes.PolynomesCollege import Polynome
lother, lden, traiter = [], [], False
if self.code: traiter = True
details, var = True, ''
for other in others:
if other == 0:
pass
elif isinstance(other, Polynome):
var = other.var
if details != 0 : details = min(details, other.details)
else: details = other.details
lother.append(other)
elif isinstance(other, (int, float)):
lother.append(Fraction(other))
lden.append(1)
elif isinstance(other, Fraction):
lother.append(other)
if other.code: traiter = True
try: lden.append(eval(other.d))
except TypeError: lden.append(other.d)
else:
raise ValueError(u'Format incorrect : %s' % (other))
if var:
self = Polynome([[self, 0]], var, details)
for i in range(len(lother)):
if not isinstance(lother[i], Polynome): lother[i] = Polynome([[lother[i], 0]], var, details)
return Polynome.__sub__(self, *lother)
if traiter:
lfrac = [repr(self.traitement())]
for other in lother:
lfrac.append(repr(other.traitement()))
return "-".join(lfrac)
try: self.d = eval(self.d)
except TypeError: pass
if not lother: return self # On a ajouté 0
leppcm = ppcm(self.d, *lden)
if self.d == leppcm:
# Vérifions si toutes les fractions ont le même dénominateur
d = Counter(lden)
if d[leppcm] == len(lden):
try: num = eval(self.n)
except TypeError: num = self.n
for other in lother:
try: num += -eval(other.n)
except TypeError: num += -other.n
return Fraction(num, leppcm)
if self.n: lfrac = [repr(self.choix_denominateur(leppcm))]
else: lfrac = []
for other in lother:
if lfrac: lfrac.append(repr(other.choix_denominateur(leppcm)))
else: lfrac.append(repr(-other.choix_denominateur(leppcm)))
# On effectue Fraction(0,3)-Fraction(2,3), il faut donc prendre l'opposé de Fraction(2,3), puisque Fraction(0,3) a été supprimée
if lfrac: return "-".join(lfrac)
else: return "0"
def __add__(self, *others):
"""*object*\ .\ **__add__**\ (*other*)
``p.__add__(q)`` est équivalent à ``p + q`` calcule la somme de deux fractions.
*other* peut être une chaîne représentant une fraction, un entier ou un réel.
>>> from pyromaths.classes.Fractions import Fraction
>>> Fraction(2,5) + Fraction(2,10)
'Fraction("2*2", "5*2", "r")+Fraction(2, 10)'
>>> Fraction(2,20) + Fraction(2,10)
'Fraction(2, 20)+Fraction("2*2", "10*2", "r")'
>>> Fraction(5,10) + Fraction(2,10)
Fraction(7, 10)
>>> Fraction(5,7) + Fraction(2,10)
'Fraction("5*10", "7*10", "r")+Fraction("2*7", "10*7", "r")'
:param: other
:type: Fraction ou string
:rtype: Fraction ou string
**TODO :** Attention, 1+3/4 donne 1*4/1*4 + 3/4 à la place de 4/4+3/4. À corriger
"""
from pyromaths.classes.PolynomesCollege import Polynome
lother, lden, traiter = [], [], False
if self.code: traiter = True
details, var = '', ''
for other in others:
if other == 0:
pass
elif isinstance(other, Polynome):
var = other.var
if details != 0 : details = min(details, other.details)
else: details = other.details
lother.append(other)
elif isinstance(other, (int, float)):
lother.append(Fraction(other))
lden.append(1)
elif isinstance(other, Fraction):
lother.append(other)
if other.code: traiter = True
try: lden.append(eval(other.d))
except TypeError: lden.append(other.d)
else:
raise ValueError(u'Format incorrect : %s' % (other))
if var:
self = Polynome([[self, 0]], var, details)
for i in range(len(lother)):
if not isinstance(lother[i], Polynome): lother[i] = Polynome([[lother[i], 0]], var, details)
return Polynome.__add__(self, *lother)
if traiter:
lfrac = [repr(self.traitement())]
for other in lother:
lfrac.append(repr(other.traitement()))
return "+".join(lfrac)
try: self.d = eval(self.d)
except TypeError: pass
if not lother: return self # On a ajouté 0
leppcm = ppcm(self.d, *lden)
if self.d == leppcm:
# Vérifions si toutes les fractions ont le même dénominateur
d = Counter(lden)
if d[leppcm] == len(lden):
try: num = eval(self.n)
except TypeError: num = self.n
for other in lother:
try: num += eval(other.n)
except TypeError: num += other.n
return Fraction(num, leppcm)
if self.n: lfrac = [repr(self.choix_denominateur(leppcm))]
else: lfrac = []
for other in lother: lfrac.append(repr(other.choix_denominateur(leppcm)))
if lfrac: return "+".join(lfrac)
else: return "0"
def __sub__(self, *others):
"""*object*\ .\ **__sub__**\ (*other*)
``p.__sub__(q)`` est équivalent à ``p - q`` calcule la différence de deux fractions.
*other* peut être une chaîne représentant une fraction, un entier ou un réel.
Pour plus de détails, voir :py:func:`__add__`"""
from pyromaths.classes.PolynomesCollege import Polynome
lother, lden, traiter = [], [], False
if self.code: traiter = True
details, var = True, ''
for other in others:
if other == 0:
pass
elif isinstance(other, Polynome):
var = other.var
if details != 0: details = min(details, other.details)
else: details = other.details
lother.append(other)
elif isinstance(other, (int, float)):
lother.append(Fraction(other))
lden.append(1)
elif isinstance(other, Fraction):
lother.append(other)
if other.code: traiter = True
try:
lden.append(eval(other.d))
except TypeError:
lden.append(other.d)
else:
raise ValueError(u'Format incorrect : %s' % (other))
if var:
self = Polynome([[self, 0]], var, details)
for i in range(len(lother)):
if not isinstance(lother[i], Polynome):
lother[i] = Polynome([[lother[i], 0]], var, details)
return Polynome.__sub__(self, *lother)
if traiter:
lfrac = [repr(self.traitement())]
for other in lother:
lfrac.append(repr(other.traitement()))
return "-".join(lfrac)
try:
self.d = eval(self.d)
except TypeError:
pass
if not lother: return self # On a ajouté 0
leppcm = ppcm(self.d, *lden)
if self.d == leppcm:
# Vérifions si toutes les fractions ont le même dénominateur
d = Counter(lden)
if d[leppcm] == len(lden):
try:
num = eval(self.n)
except TypeError:
num = self.n
for other in lother:
try:
num += -eval(other.n)
except TypeError:
num += -other.n
return Fraction(num, leppcm)
if self.n: lfrac = [repr(self.choix_denominateur(leppcm))]
else: lfrac = []
for other in lother:
if lfrac: lfrac.append(repr(other.choix_denominateur(leppcm)))
else: lfrac.append(repr(-other.choix_denominateur(leppcm)))
# On effectue Fraction(0,3)-Fraction(2,3), il faut donc prendre l'opposé de Fraction(2,3), puisque Fraction(0,3) a été supprimée
if lfrac: return "-".join(lfrac)
else: return "0"
def __add__(self, *others):
"""*object*\ .\ **__add__**\ (*other*)
``p.__add__(q)`` est équivalent à ``p + q`` calcule la somme de deux fractions.
*other* peut être une chaîne représentant une fraction, un entier ou un réel.
>>> from pyromaths.classes.Fractions import Fraction
>>> Fraction(2,5) + Fraction(2,10)
Fraction("2*2", "5*2", "r")+Fraction(2, 10)
>>> Fraction(2,20) + Fraction(2,10)
Fraction(2, 20)+Fraction("2*2", "10*2", "r")
>>> repr(Fraction(5,10) + Fraction(2,10))
Fraction(7, 10)
>>> Fraction(5,7) + Fraction(2,10)
Fraction("5*10", "7*10", "r")+Fraction("2*7", "10*7", "r")
:param: other
:type: Fraction ou string
:rtype: Fraction ou string
**TODO :** Attention, 1+3/4 donne 1*4/1*4 + 3/4 à la place de 4/4+3/4. À corriger
"""
from pyromaths.classes.PolynomesCollege import Polynome
lother, lden, traiter = [], [], False
if self.code: traiter = True
details, var = '', ''
for other in others:
if other == 0:
pass
elif isinstance(other, Polynome):
var = other.var
if details != 0: details = min(details, other.details)
else: details = other.details
lother.append(other)
elif isinstance(other, (int, float)):
lother.append(Fraction(other))
lden.append(1)
elif isinstance(other, Fraction):
lother.append(other)
if other.code: traiter = True
try:
lden.append(eval(other.d))
except TypeError:
lden.append(other.d)
else:
raise ValueError(u'Format incorrect : %s' % (other))
if var:
self = Polynome([[self, 0]], var, details)
for i in range(len(lother)):
if not isinstance(lother[i], Polynome):
lother[i] = Polynome([[lother[i], 0]], var, details)
return Polynome.__add__(self, *lother)
if traiter:
lfrac = [repr(self.traitement())]
for other in lother:
lfrac.append(repr(other.traitement()))
return "+".join(lfrac)
try:
self.d = eval(self.d)
except TypeError:
pass
if not lother: return self # On a ajouté 0
leppcm = ppcm(self.d, *lden)
if self.d == leppcm:
# Vérifions si toutes les fractions ont le même dénominateur
d = Counter(lden)
if d[leppcm] == len(lden):
try:
num = eval(self.n)
except TypeError:
num = self.n
for other in lother:
try:
num += eval(other.n)
except TypeError:
num += other.n
return Fraction(num, leppcm)
if self.n: lfrac = [repr(self.choix_denominateur(leppcm))]
else: lfrac = []
for other in lother:
lfrac.append(repr(other.choix_denominateur(leppcm)))
if lfrac: return "+".join(lfrac)
else: return "0"
def den_com0(a, b): # renvoie un tuple contenant les 2 nombres par lesquels multiplier les deux denominateurs pour obtenir leur ppcm
c = ppcm(a[1], b[1])
return (abs(c // a[1]), abs(c // b[1]))