def from_sympy(self, a):
"""Convert SymPy's Integer to SymPy's `Integer`. """
if a.is_Integer:
return a
elif a.is_Float and int(a) == a:
return SymPyIntegerType(int(a))
else:
raise CoercionFailed("expected an integer, got %s" % a)
def from_RR_sympy(K1, a, K0):
"""Convert SymPy's `Float` to SymPy's `Integer`. """
p, q = K0.as_integer_ratio(a)
if q == 1:
return SymPyIntegerType(p)
def from_QQ_gmpy(K1, a, K0):
"""Convert GMPY's `mpq` to SymPy's `Integer`. """
if a.denom() == 1:
return SymPyIntegerType(int(a.numer()))
def from_ZZ_gmpy(K1, a, K0):
"""Convert GMPY's `mpz` to SymPy's `Integer`. """
return SymPyIntegerType(int(a))
def from_FF_gmpy(K1, a, K0):
"""Convert `ModularInteger(mpz)` to SymPy's `Integer`. """
return SymPyIntegerType(int(a.to_int()))
def from_QQ_sympy(K1, a, K0):
"""Convert SymPy's `Rational` to SymPy's `Integer`. """
if a.q == 1:
return SymPyIntegerType(a.p)
def from_QQ_python(K1, a, K0):
"""Convert Python's `Fraction` to SymPy's `Integer`. """
if a.denominator == 1:
return SymPyIntegerType(a.numerator)
def lcm(self, a, b):
"""Compute LCM of ``a`` and ``b``. """
return SymPyIntegerType(python_lcm(int(a), int(b)))
def from_FF_python(K1, a, K0):
"""Convert `ModularInteger(int)` to SymPy's `Integer`. """
return SymPyIntegerType(a.to_int())
def denom(self, a):
"""Returns denominator of `a`. """
return SymPyIntegerType(a.q)
def numer(self, a):
"""Returns numerator of `a`. """
return SymPyIntegerType(a.p)
def factorial(self, a):
"""Compute factorial of ``a``. """
return SymPyIntegerType(python_factorial(int(a)))
def sqrt(self, a):
"""Compute square root of ``a``. """
return SymPyIntegerType(python_sqrt(int(a)))
def from_RR_mpmath(K1, a, K0):
"""Convert mpmath's `mpf` to SymPy's `Integer`. """
p, q = K0.as_integer_ratio(a)
if q == 1:
return SymPyIntegerType(p)
def from_ZZ_python(K1, a, K0):
"""Convert Python's `int` to SymPy's `Integer`. """
return SymPyIntegerType(a)
def to_sympy(self, a):
"""Convert `a` to a SymPy object. """
return SymPyIntegerType(int(a))
def gcd(self, a, b):
"""Compute GCD of ``a`` and ``b``. """
return SymPyIntegerType(python_gcd(int(a), int(b)))