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105 lines
2.9 KiB
105 lines
2.9 KiB
5 months ago
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"""Implementation of :class:`GMPYIntegerRing` class. """
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from sympy.polys.domains.groundtypes import (
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GMPYInteger, SymPyInteger,
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factorial as gmpy_factorial,
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gmpy_gcdex, gmpy_gcd, gmpy_lcm, sqrt as gmpy_sqrt,
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)
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from sympy.polys.domains.integerring import IntegerRing
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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 GMPYIntegerRing(IntegerRing):
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"""Integer ring based on GMPY's ``mpz`` type.
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This will be the implementation of :ref:`ZZ` if ``gmpy`` or ``gmpy2`` is
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installed. Elements will be of type ``gmpy.mpz``.
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"""
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dtype = GMPYInteger
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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 = 'ZZ_gmpy'
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def __init__(self):
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"""Allow instantiation of this domain. """
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def to_sympy(self, a):
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"""Convert ``a`` to a SymPy object. """
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return SymPyInteger(int(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_Integer:
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return GMPYInteger(a.p)
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elif a.is_Float and int(a) == a:
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return GMPYInteger(int(a))
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else:
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raise CoercionFailed("expected an integer, got %s" % a)
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def from_FF_python(K1, a, K0):
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"""Convert ``ModularInteger(int)`` to GMPY's ``mpz``. """
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return GMPYInteger(a.to_int())
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def from_ZZ_python(K1, a, K0):
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"""Convert Python's ``int`` to GMPY's ``mpz``. """
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return GMPYInteger(a)
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def from_QQ(K1, a, K0):
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"""Convert Python's ``Fraction`` to GMPY's ``mpz``. """
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if a.denominator == 1:
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return GMPYInteger(a.numerator)
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def from_QQ_python(K1, a, K0):
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"""Convert Python's ``Fraction`` to GMPY's ``mpz``. """
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if a.denominator == 1:
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return GMPYInteger(a.numerator)
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def from_FF_gmpy(K1, a, K0):
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"""Convert ``ModularInteger(mpz)`` to GMPY's ``mpz``. """
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return a.to_int()
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def from_ZZ_gmpy(K1, a, K0):
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"""Convert GMPY's ``mpz`` to GMPY's ``mpz``. """
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return a
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def from_QQ_gmpy(K1, a, K0):
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"""Convert GMPY ``mpq`` to GMPY's ``mpz``. """
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if a.denominator == 1:
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return a.numerator
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def from_RealField(K1, a, K0):
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"""Convert mpmath's ``mpf`` to GMPY's ``mpz``. """
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p, q = K0.to_rational(a)
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if q == 1:
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return GMPYInteger(p)
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def from_GaussianIntegerRing(K1, a, K0):
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if a.y == 0:
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return a.x
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def gcdex(self, a, b):
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"""Compute extended GCD of ``a`` and ``b``. """
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h, s, t = gmpy_gcdex(a, b)
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return s, t, h
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def gcd(self, a, b):
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"""Compute GCD of ``a`` and ``b``. """
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return gmpy_gcd(a, b)
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def lcm(self, a, b):
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"""Compute LCM of ``a`` and ``b``. """
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return gmpy_lcm(a, b)
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def sqrt(self, a):
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"""Compute square root of ``a``. """
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return gmpy_sqrt(a)
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def factorial(self, a):
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"""Compute factorial of ``a``. """
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return gmpy_factorial(a)
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