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svn+ssh://pythondev@svn.python.org/python/trunk ........ r79629 | mark.dickinson | 2010-04-02 23:27:36 +0100 (Fri, 02 Apr 2010) | 2 lines Issue #8294: Allow float and Decimal arguments in Fraction constructor. ........
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4 changed files with 121 additions and 20 deletions
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@ -3,6 +3,7 @@
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"""Fraction, infinite-precision, real numbers."""
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from decimal import Decimal
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import math
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import numbers
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import operator
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@ -41,13 +42,21 @@ _RATIONAL_FORMAT = re.compile(r"""
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class Fraction(numbers.Rational):
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"""This class implements rational numbers.
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Fraction(8, 6) will produce a rational number equivalent to
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4/3. Both arguments must be Integral. The numerator defaults to 0
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and the denominator defaults to 1 so that Fraction(3) == 3 and
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Fraction() == 0.
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In the two-argument form of the constructor, Fraction(8, 6) will
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produce a rational number equivalent to 4/3. Both arguments must
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be Rational. The numerator defaults to 0 and the denominator
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defaults to 1 so that Fraction(3) == 3 and Fraction() == 0.
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Fraction can also be constructed from strings of the form
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'[-+]?[0-9]+((/|.)[0-9]+)?', optionally surrounded by spaces.
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Fractions can also be constructed from:
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- numeric strings similar to those accepted by the
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float constructor (for example, '-2.3' or '1e10')
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- strings of the form '123/456'
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- float and Decimal instances
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- other Rational instances (including integers)
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"""
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@ -57,8 +66,32 @@ class Fraction(numbers.Rational):
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def __new__(cls, numerator=0, denominator=None):
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"""Constructs a Rational.
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Takes a string like '3/2' or '1.5', another Rational, or a
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numerator/denominator pair.
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Takes a string like '3/2' or '1.5', another Rational instance, a
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numerator/denominator pair, or a float.
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Examples
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--------
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>>> Fraction(10, -8)
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Fraction(-5, 4)
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>>> Fraction(Fraction(1, 7), 5)
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Fraction(1, 35)
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>>> Fraction(Fraction(1, 7), Fraction(2, 3))
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Fraction(3, 14)
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>>> Fraction('314')
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Fraction(314, 1)
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>>> Fraction('-35/4')
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Fraction(-35, 4)
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>>> Fraction('3.1415') # conversion from numeric string
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Fraction(6283, 2000)
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>>> Fraction('-47e-2') # string may include a decimal exponent
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Fraction(-47, 100)
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>>> Fraction(1.47) # direct construction from float (exact conversion)
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Fraction(6620291452234629, 4503599627370496)
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>>> Fraction(2.25)
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Fraction(9, 4)
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>>> Fraction(Decimal('1.47'))
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Fraction(147, 100)
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"""
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self = super(Fraction, cls).__new__(cls)
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@ -69,6 +102,19 @@ class Fraction(numbers.Rational):
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self._denominator = numerator.denominator
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return self
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elif isinstance(numerator, float):
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# Exact conversion from float
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value = Fraction.from_float(numerator)
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self._numerator = value._numerator
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self._denominator = value._denominator
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return self
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elif isinstance(numerator, Decimal):
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value = Fraction.from_decimal(numerator)
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self._numerator = value._numerator
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self._denominator = value._denominator
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return self
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elif isinstance(numerator, str):
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# Handle construction from strings.
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m = _RATIONAL_FORMAT.match(numerator)
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