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))