101 lines
3.1 KiB
Python
101 lines
3.1 KiB
Python
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"""Implementation of :class:`GMPYRationalField` class. """
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from sympy.polys.domains.groundtypes import (
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GMPYRational, SymPyRational,
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gmpy_numer, gmpy_denom, factorial as gmpy_factorial,
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)
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from sympy.polys.domains.rationalfield import RationalField
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from sympy.polys.polyerrors import CoercionFailed
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from sympy.utilities import public
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@public
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class GMPYRationalField(RationalField):
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"""Rational field based on GMPY's ``mpq`` type.
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This will be the implementation of :ref:`QQ` if ``gmpy`` or ``gmpy2`` is
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installed. Elements will be of type ``gmpy.mpq``.
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"""
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dtype = GMPYRational
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zero = dtype(0)
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one = dtype(1)
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tp = type(one)
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alias = 'QQ_gmpy'
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def __init__(self):
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pass
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def get_ring(self):
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"""Returns ring associated with ``self``. """
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from sympy.polys.domains import GMPYIntegerRing
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return GMPYIntegerRing()
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def to_sympy(self, a):
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"""Convert ``a`` to a SymPy object. """
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return SymPyRational(int(gmpy_numer(a)),
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int(gmpy_denom(a)))
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def from_sympy(self, a):
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"""Convert SymPy's Integer to ``dtype``. """
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if a.is_Rational:
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return GMPYRational(a.p, a.q)
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elif a.is_Float:
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from sympy.polys.domains import RR
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return GMPYRational(*map(int, RR.to_rational(a)))
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else:
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raise CoercionFailed("expected ``Rational`` object, got %s" % a)
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def from_ZZ_python(K1, a, K0):
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"""Convert a Python ``int`` object to ``dtype``. """
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return GMPYRational(a)
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def from_QQ_python(K1, a, K0):
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"""Convert a Python ``Fraction`` object to ``dtype``. """
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return GMPYRational(a.numerator, a.denominator)
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def from_ZZ_gmpy(K1, a, K0):
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"""Convert a GMPY ``mpz`` object to ``dtype``. """
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return GMPYRational(a)
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def from_QQ_gmpy(K1, a, K0):
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"""Convert a GMPY ``mpq`` object to ``dtype``. """
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return a
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def from_GaussianRationalField(K1, a, K0):
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"""Convert a ``GaussianElement`` object to ``dtype``. """
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if a.y == 0:
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return GMPYRational(a.x)
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def from_RealField(K1, a, K0):
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"""Convert a mpmath ``mpf`` object to ``dtype``. """
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return GMPYRational(*map(int, K0.to_rational(a)))
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def exquo(self, a, b):
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"""Exact quotient of ``a`` and ``b``, implies ``__truediv__``. """
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return GMPYRational(a) / GMPYRational(b)
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def quo(self, a, b):
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"""Quotient of ``a`` and ``b``, implies ``__truediv__``. """
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return GMPYRational(a) / GMPYRational(b)
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def rem(self, a, b):
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"""Remainder of ``a`` and ``b``, implies nothing. """
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return self.zero
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def div(self, a, b):
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"""Division of ``a`` and ``b``, implies ``__truediv__``. """
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return GMPYRational(a) / GMPYRational(b), self.zero
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def numer(self, a):
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"""Returns numerator of ``a``. """
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return a.numerator
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def denom(self, a):
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"""Returns denominator of ``a``. """
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return a.denominator
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def factorial(self, a):
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"""Returns factorial of ``a``. """
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return GMPYRational(gmpy_factorial(int(a)))
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