def from_sympy(self, a):
"""Convert SymPy's Integer to `dtype`. """
if a.is_Rational:
return GMPYRational(a.p, a.q)
elif a.is_Float:
from sympy.polys.domains import RR
return GMPYRational(*map(int, RR.to_rational(a)))
else:
raise CoercionFailed("expected `Rational` object, got %s" % a)
def factorial(self, a):
"""Returns factorial of `a`. """
return GMPYRational(gmpy_factorial(int(a)))
def div(self, a, b):
"""Division of `a` and `b`, implies `__div__`. """
return GMPYRational(gmpy_qdiv(a, b)), self.zero
def quo(self, a, b):
"""Quotient of `a` and `b`, implies `__div__`. """
return GMPYRational(gmpy_qdiv(GMPYRational(a), GMPYRational(b)))
def exquo(self, a, b):
"""Exact quotient of `a` and `b`, implies `__div__`. """
return GMPYRational(gmpy_qdiv(a, b))
def from_RealField(K1, a, K0):
"""Convert a mpmath `mpf` object to `dtype`. """
return GMPYRational(*K0.to_rational(a))
def from_ZZ_gmpy(K1, a, K0):
"""Convert a GMPY `mpz` object to `dtype`. """
return GMPYRational(a)
def from_QQ_python(K1, a, K0):
"""Convert a Python `Fraction` object to `dtype`. """
return GMPYRational(a.numerator, a.denominator)
def from_ZZ_python(K1, a, K0):
"""Convert a Python `int` object to `dtype`. """
return GMPYRational(a)
def div(self, a, b):
"""Division of ``a`` and ``b``, implies ``__truediv__``. """
return GMPYRational(a) / GMPYRational(b), self.zero
def quo(self, a, b):
"""Quotient of ``a`` and ``b``, implies ``__truediv__``. """
return GMPYRational(a) / GMPYRational(b)
def from_RealField(K1, a, K0):
"""Convert a mpmath ``mpf`` object to ``dtype``. """
return GMPYRational(*map(int, K0.to_rational(a)))
def from_GaussianRationalField(K1, a, K0):
"""Convert a ``GaussianElement`` object to ``dtype``. """
if a.y == 0:
return GMPYRational(a.x)
def exquo(self, a, b):
"""Exact quotient of `a` and `b`, implies `__truediv__`. """
return GMPYRational(a) / GMPYRational(b)
def from_RR_mpmath(K1, a, K0):
"""Convert a mpmath `mpf` object to `dtype`. """
return GMPYRational(*K0.as_integer_ratio(a))
