def factor(expression, variable = None, ensemble = None, decomposer_entiers = True):
if isinstance(expression, (int, long, Integer)):
if decomposer_entiers:
return ProduitEntiers(*factorint(expression).iteritems())
else:
return expression
elif isinstance(expression, Basic) and expression.is_polynomial():
if variable is None:
variable = extract_var(expression)
if variable is None:
# polynôme à plusieurs variables
return factor_(expression)
else:
try:
return poly_factor(expression, variable, ensemble)
except NotImplementedError:
if param.debug:
print_error()
return expression
resultat = together_(expression)
if resultat.is_rational_function():
num, den = resultat.as_numer_denom()
if den != 1:
return factor(num, variable, ensemble, decomposer_entiers)/factor(den, variable, ensemble, decomposer_entiers)
else:
resultat = auto_collect(resultat)
if resultat.is_Mul:
produit = 1
for facteur in resultat.args:
if facteur != 1:
produit *= factor(facteur, variable, ensemble, decomposer_entiers)
return produit
return resultat
def factor(expression, variable=None, ensemble=None, decomposer_entiers=True):
if isinstance(expression, (int, long, Integer)):
if decomposer_entiers:
return ProduitEntiers(*factorint(expression).iteritems())
else:
return expression
elif isinstance(expression, Basic) and expression.is_polynomial():
if variable is None:
variable = extract_var(expression)
if variable is None:
# polynôme à plusieurs variables
return factor_(expression)
else:
try:
return poly_factor(expression, variable, ensemble)
except NotImplementedError:
if param.debug:
print_error()
return expression
resultat = together_(expression)
if resultat.is_rational_function():
num, den = resultat.as_numer_denom()
if den != 1:
return factor(num, variable,
ensemble, decomposer_entiers) / factor(
den, variable, ensemble, decomposer_entiers)
else:
resultat = auto_collect(resultat)
if resultat.is_Mul:
produit = 1
for facteur in resultat.args:
if facteur != 1:
produit *= factor(facteur, variable, ensemble,
decomposer_entiers)
return produit
return resultat
def together(expression):
return cancel(together_(expression))
def together(expression):
return cancel(together_(expression))