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ton
2024-10-07 10:13:40 +07:00
parent aa1631742f
commit 3a7d696db6
9729 changed files with 1832837 additions and 161742 deletions

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@@ -13,104 +13,7 @@
# bug) and will be backported. At this point the spec is stabilizing
# and the updates are becoming fewer, smaller, and less significant.
"""
This is an implementation of decimal floating point arithmetic based on
the General Decimal Arithmetic Specification:
http://speleotrove.com/decimal/decarith.html
and IEEE standard 854-1987:
http://en.wikipedia.org/wiki/IEEE_854-1987
Decimal floating point has finite precision with arbitrarily large bounds.
The purpose of this module is to support arithmetic using familiar
"schoolhouse" rules and to avoid some of the tricky representation
issues associated with binary floating point. The package is especially
useful for financial applications or for contexts where users have
expectations that are at odds with binary floating point (for instance,
in binary floating point, 1.00 % 0.1 gives 0.09999999999999995 instead
of 0.0; Decimal('1.00') % Decimal('0.1') returns the expected
Decimal('0.00')).
Here are some examples of using the decimal module:
>>> from decimal import *
>>> setcontext(ExtendedContext)
>>> Decimal(0)
Decimal('0')
>>> Decimal('1')
Decimal('1')
>>> Decimal('-.0123')
Decimal('-0.0123')
>>> Decimal(123456)
Decimal('123456')
>>> Decimal('123.45e12345678')
Decimal('1.2345E+12345680')
>>> Decimal('1.33') + Decimal('1.27')
Decimal('2.60')
>>> Decimal('12.34') + Decimal('3.87') - Decimal('18.41')
Decimal('-2.20')
>>> dig = Decimal(1)
>>> print(dig / Decimal(3))
0.333333333
>>> getcontext().prec = 18
>>> print(dig / Decimal(3))
0.333333333333333333
>>> print(dig.sqrt())
1
>>> print(Decimal(3).sqrt())
1.73205080756887729
>>> print(Decimal(3) ** 123)
4.85192780976896427E+58
>>> inf = Decimal(1) / Decimal(0)
>>> print(inf)
Infinity
>>> neginf = Decimal(-1) / Decimal(0)
>>> print(neginf)
-Infinity
>>> print(neginf + inf)
NaN
>>> print(neginf * inf)
-Infinity
>>> print(dig / 0)
Infinity
>>> getcontext().traps[DivisionByZero] = 1
>>> print(dig / 0)
Traceback (most recent call last):
...
...
...
decimal.DivisionByZero: x / 0
>>> c = Context()
>>> c.traps[InvalidOperation] = 0
>>> print(c.flags[InvalidOperation])
0
>>> c.divide(Decimal(0), Decimal(0))
Decimal('NaN')
>>> c.traps[InvalidOperation] = 1
>>> print(c.flags[InvalidOperation])
1
>>> c.flags[InvalidOperation] = 0
>>> print(c.flags[InvalidOperation])
0
>>> print(c.divide(Decimal(0), Decimal(0)))
Traceback (most recent call last):
...
...
...
decimal.InvalidOperation: 0 / 0
>>> print(c.flags[InvalidOperation])
1
>>> c.flags[InvalidOperation] = 0
>>> c.traps[InvalidOperation] = 0
>>> print(c.divide(Decimal(0), Decimal(0)))
NaN
>>> print(c.flags[InvalidOperation])
1
>>>
"""
"""Python decimal arithmetic module"""
__all__ = [
# Two major classes
@@ -521,7 +424,7 @@ def localcontext(ctx=None, **kwargs):
# numbers.py for more detail.
class Decimal(object):
"""Floating point class for decimal arithmetic."""
"""Floating-point class for decimal arithmetic."""
__slots__ = ('_exp','_int','_sign', '_is_special')
# Generally, the value of the Decimal instance is given by
@@ -2228,10 +2131,16 @@ class Decimal(object):
else:
return None
if xc >= 10**p:
# An exact power of 10 is representable, but can convert to a
# string of any length. But an exact power of 10 shouldn't be
# possible at this point.
assert xc > 1, self
assert xc % 10 != 0, self
strxc = str(xc)
if len(strxc) > p:
return None
xe = -e-xe
return _dec_from_triple(0, str(xc), xe)
return _dec_from_triple(0, strxc, xe)
# now y is positive; find m and n such that y = m/n
if ye >= 0:
@@ -2281,13 +2190,18 @@ class Decimal(object):
return None
xc = xc**m
xe *= m
if xc > 10**p:
# An exact power of 10 is representable, but can convert to a string
# of any length. But an exact power of 10 shouldn't be possible at
# this point.
assert xc > 1, self
assert xc % 10 != 0, self
str_xc = str(xc)
if len(str_xc) > p:
return None
# by this point the result *is* exactly representable
# adjust the exponent to get as close as possible to the ideal
# exponent, if necessary
str_xc = str(xc)
if other._isinteger() and other._sign == 0:
ideal_exponent = self._exp*int(other)
zeros = min(xe-ideal_exponent, p-len(str_xc))