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import os
import sys
#----------------------------------------------------------------------------#
# Support GMPY for high-speed large integer arithmetic. #
# #
# To allow an external module to handle arithmetic, we need to make sure #
# that all high-precision variables are declared of the correct type. MPZ #
# is the constructor for the high-precision type. It defaults to Python's #
# long type but can be assinged another type, typically gmpy.mpz. #
# #
# MPZ must be used for the mantissa component of an mpf and must be used #
# for internal fixed-point operations. #
# #
# Side-effects #
# 1) "is" cannot be used to test for special values. Must use "==". #
# 2) There are bugs in GMPY prior to v1.02 so we must use v1.03 or later. #
#----------------------------------------------------------------------------#
# So we can import it from this module
gmpy = None
sage = None
sage_utils = None
if sys.version_info[0] < 3:
python3 = False
else:
python3 = True
BACKEND = 'python'
if not python3:
MPZ = long
xrange = xrange
basestring = basestring
def exec_(_code_, _globs_=None, _locs_=None):
"""Execute code in a namespace."""
if _globs_ is None:
frame = sys._getframe(1)
_globs_ = frame.f_globals
if _locs_ is None:
_locs_ = frame.f_locals
del frame
elif _locs_ is None:
_locs_ = _globs_
exec("""exec _code_ in _globs_, _locs_""")
else:
MPZ = int
xrange = range
basestring = str
import builtins
exec_ = getattr(builtins, "exec")
# Define constants for calculating hash on Python 3.2.
if sys.version_info >= (3, 2):
HASH_MODULUS = sys.hash_info.modulus
if sys.hash_info.width == 32:
HASH_BITS = 31
else:
HASH_BITS = 61
else:
HASH_MODULUS = None
HASH_BITS = None
if 'MPMATH_NOGMPY' not in os.environ:
try:
try:
import gmpy2 as gmpy
except ImportError:
try:
import gmpy
except ImportError:
raise ImportError
if gmpy.version() >= '1.03':
BACKEND = 'gmpy'
MPZ = gmpy.mpz
except:
pass
if ('MPMATH_NOSAGE' not in os.environ and 'SAGE_ROOT' in os.environ or
'MPMATH_SAGE' in os.environ):
try:
import sage.all
import sage.libs.mpmath.utils as _sage_utils
sage = sage.all
sage_utils = _sage_utils
BACKEND = 'sage'
MPZ = sage.Integer
except:
pass
if 'MPMATH_STRICT' in os.environ:
STRICT = True
else:
STRICT = False
MPZ_TYPE = type(MPZ(0))
MPZ_ZERO = MPZ(0)
MPZ_ONE = MPZ(1)
MPZ_TWO = MPZ(2)
MPZ_THREE = MPZ(3)
MPZ_FIVE = MPZ(5)
try:
if BACKEND == 'python':
int_types = (int, long)
else:
int_types = (int, long, MPZ_TYPE)
except NameError:
if BACKEND == 'python':
int_types = (int,)
else:
int_types = (int, MPZ_TYPE)
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