def mpf_convert_rhs(cls, x):
if isinstance(x, int_types): return from_int(x)
if isinstance(x, float): return from_float(x)
if isinstance(x, complex_types): return cls.context.mpc(x)
if isinstance(x, rational.mpq):
p, q = x
return from_rational(p, q, cls.context.prec)
if hasattr(x, '_mpf_'): return x._mpf_
if hasattr(x, '_mpmath_'):
t = cls.context.convert(x._mpmath_(*cls.context._prec_rounding))
if hasattr(t, '_mpf_'):
return t._mpf_
return t
return NotImplemented
def mpf_convert_rhs(cls, x):
if isinstance(x, int_types): return from_int(x)
if isinstance(x, float): return from_float(x)
if isinstance(x, complex_types): return cls.context.mpc(x)
if isinstance(x, rational.mpq):
p, q = x
return from_rational(p, q, cls.context.prec)
if hasattr(x, '_mpf_'): return x._mpf_
if hasattr(x, '_mpmath_'):
t = cls.context.convert(x._mpmath_(*cls.context._prec_rounding))
if hasattr(t, '_mpf_'):
return t._mpf_
return t
return NotImplemented
def fraction(ctx, p, q):
"""
Given Python integers `(p, q)`, returns a lazy ``mpf`` representing
the fraction `p/q`. The value is updated with the precision.
>>> from mpmath import *
>>> mp.dps = 15
>>> a = fraction(1,100)
>>> b = mpf(1)/100
>>> print a; print b
0.01
0.01
>>> mp.dps = 30
>>> print a; print b # a will be accurate
0.01
0.0100000000000000002081668171172
>>> mp.dps = 15
"""
return ctx.constant(lambda prec, rnd: from_rational(p, q, prec, rnd), "%s/%s" % (p, q))
def convert(ctx, x, strings=True):
"""
Converts *x* to an ``mpf``, ``mpc`` or ``mpi``. If *x* is of type ``mpf``,
``mpc``, ``int``, ``float``, ``complex``, the conversion
will be performed losslessly.
If *x* is a string, the result will be rounded to the present
working precision. Strings representing fractions or complex
numbers are permitted.
>>> from mpmath import *
>>> mp.dps = 15; mp.pretty = False
>>> mpmathify(3.5)
mpf('3.5')
>>> mpmathify('2.1')
mpf('2.1000000000000001')
>>> mpmathify('3/4')
mpf('0.75')
>>> mpmathify('2+3j')
mpc(real='2.0', imag='3.0')
"""
if type(x) in ctx.types: return x
if isinstance(x, int_types): return ctx.make_mpf(from_int(x))
if isinstance(x, float): return ctx.make_mpf(from_float(x))
if isinstance(x, complex):
return ctx.make_mpc((from_float(x.real), from_float(x.imag)))
prec, rounding = ctx._prec_rounding
if isinstance(x, rational.mpq):
p, q = x
return ctx.make_mpf(from_rational(p, q, prec))
if strings and isinstance(x, basestring):
try:
_mpf_ = from_str(x, prec, rounding)
return ctx.make_mpf(_mpf_)
except ValueError:
pass
if hasattr(x, '_mpf_'): return ctx.make_mpf(x._mpf_)
if hasattr(x, '_mpc_'): return ctx.make_mpc(x._mpc_)
if hasattr(x, '_mpmath_'):
return ctx.convert(x._mpmath_(prec, rounding))
return ctx._convert_fallback(x, strings)
def convert(ctx, x, strings=True):
"""
Converts *x* to an ``mpf``, ``mpc`` or ``mpi``. If *x* is of type ``mpf``,
``mpc``, ``int``, ``float``, ``complex``, the conversion
will be performed losslessly.
If *x* is a string, the result will be rounded to the present
working precision. Strings representing fractions or complex
numbers are permitted.
>>> from mpmath import *
>>> mp.dps = 15; mp.pretty = False
>>> mpmathify(3.5)
mpf('3.5')
>>> mpmathify('2.1')
mpf('2.1000000000000001')
>>> mpmathify('3/4')
mpf('0.75')
>>> mpmathify('2+3j')
mpc(real='2.0', imag='3.0')
"""
if type(x) in ctx.types: return x
if isinstance(x, int_types): return ctx.make_mpf(from_int(x))
if isinstance(x, float): return ctx.make_mpf(from_float(x))
if isinstance(x, complex):
return ctx.make_mpc((from_float(x.real), from_float(x.imag)))
prec, rounding = ctx._prec_rounding
if isinstance(x, rational.mpq):
p, q = x
return ctx.make_mpf(from_rational(p, q, prec))
if strings and isinstance(x, basestring):
try:
_mpf_ = from_str(x, prec, rounding)
return ctx.make_mpf(_mpf_)
except ValueError:
pass
if hasattr(x, '_mpf_'): return ctx.make_mpf(x._mpf_)
if hasattr(x, '_mpc_'): return ctx.make_mpc(x._mpc_)
if hasattr(x, '_mpmath_'):
return ctx.convert(x._mpmath_(prec, rounding))
return ctx._convert_fallback(x, strings)
def fraction(ctx, p, q):
"""
Given Python integers `(p, q)`, returns a lazy ``mpf`` representing
the fraction `p/q`. The value is updated with the precision.
>>> from mpmath import *
>>> mp.dps = 15
>>> a = fraction(1,100)
>>> b = mpf(1)/100
>>> print a; print b
0.01
0.01
>>> mp.dps = 30
>>> print a; print b # a will be accurate
0.01
0.0100000000000000002081668171172
>>> mp.dps = 15
"""
return ctx.constant(lambda prec, rnd: from_rational(p, q, prec, rnd),
'%s/%s' % (p, q))
def _mpq(ctx, pq):
p, q = pq
a = libmp.from_rational(p, q, ctx.prec, round_floor)
b = libmp.from_rational(p, q, ctx.prec, round_ceiling)
return ctx.make_mpf((a, b))
def _mpq(ctx, pq):
p, q = pq
a = libmp.from_rational(p, q, ctx.prec, round_floor)
b = libmp.from_rational(p, q, ctx.prec, round_ceiling)
return ctx.make_mpf((a, b))
