Remove deprecated fractions.gcd() #83531
Description
Activity
- added3.9 (EOL)end of lifeend of lifestdlibStandard Library Python modules in the Lib/ directoryStandard Library Python modules in the Lib/ directory
on Jan 16, 2020 I believe there is a regression here.
numpy fails to build with Python 3.9.0a3.
________________________ TestMatmul.test_matmul_object _________________________
self = <numpy.core.tests.test_multiarray.TestMatmul object at 0x7ff9bc008ca0>
def test_matmul_object(self):
import fractionsf = np.vectorize(fractions.Fraction) def random_ints(): return np.random.randint(1, 1000, size=(10, 3, 3))M1 = f(random_ints(), random_ints())f = <numpy.vectorize object at 0x7ff9bc6751f0>
fractions = <module 'fractions' from '/usr/lib64/python3.9/fractions.py'>
random_ints = <function TestMatmul.test_matmul_object.<locals>.random_ints at 0x7ff9bcc2d700>
self = <numpy.core.tests.test_multiarray.TestMatmul object at 0x7ff9bc008ca0>
numpy/core/tests/test_multiarray.py:6259:
numpy/lib/function_base.py:2091: in __call__
return self._vectorize_call(func=func, args=vargs)
numpy/lib/function_base.py:2161: in _vectorize_call
ufunc, otypes = self._get_ufunc_and_otypes(func=func, args=args)
numpy/lib/function_base.py:2121: in _get_ufunc_and_otypes
outputs = func(*inputs)
cls = <class 'fractions.Fraction'>, numerator = 483, denominator = 809
def __new__(cls, numerator=0, denominator=None, *, _normalize=True):
"""Constructs a Rational.Takes a string like '3/2' or '1.5', another Rational instance, a numerator/denominator pair, or a float. Examples \-------->>> Fraction(10, -8) Fraction(-5, 4) >>> Fraction(Fraction(1, 7), 5) Fraction(1, 35) >>> Fraction(Fraction(1, 7), Fraction(2, 3)) Fraction(3, 14) >>> Fraction('314') Fraction(314, 1) >>> Fraction('-35/4') Fraction(-35, 4) >>> Fraction('3.1415') # conversion from numeric string Fraction(6283, 2000) >>> Fraction('-47e-2') # string may include a decimal exponent Fraction(-47, 100) >>> Fraction(1.47) # direct construction from float (exact conversion) Fraction(6620291452234629, 4503599627370496) >>> Fraction(2.25) Fraction(9, 4) >>> Fraction(Decimal('1.47')) Fraction(147, 100) """ self = super(Fraction, cls).__new__(cls) if denominator is None: if type(numerator) is int: self._numerator = numerator self._denominator = 1 return self elif isinstance(numerator, numbers.Rational): self._numerator = numerator.numerator self._denominator = numerator.denominator return self elif isinstance(numerator, (float, Decimal)): # Exact conversion self._numerator, self._denominator = numerator.as_integer_ratio() return self elif isinstance(numerator, str): # Handle construction from strings. m = _RATIONAL_FORMAT.match(numerator) if m is None: raise ValueError('Invalid literal for Fraction: %r' % numerator) numerator = int(m.group('num') or '0') denom = m.group('denom') if denom: denominator = int(denom) else: denominator = 1 decimal = m.group('decimal') if decimal: scale = 10**len(decimal) numerator = numerator * scale + int(decimal) denominator *= scale exp = m.group('exp') if exp: exp = int(exp) if exp >= 0: numerator *= 10**exp else: denominator *= 10**-exp if m.group('sign') == '-': numerator = -numerator else: raise TypeError("argument should be a string " "or a Rational instance") elif type(numerator) is int is type(denominator): pass # *very* normal case elif (isinstance(numerator, numbers.Rational) and isinstance(denominator, numbers.Rational)): numerator, denominator = ( numerator.numerator * denominator.denominator, denominator.numerator * numerator.denominator ) else: raise TypeError("both arguments should be " "Rational instances") if denominator == 0: raise ZeroDivisionError('Fraction(%s, 0)' % numerator) if _normalize: if type(numerator) is int is type(denominator): # *very* normal case g = math.gcd(numerator, denominator) if denominator < 0: g = -g else: > g = _gcd(numerator, denominator) E NameError: name '_gcd' is not defined __class__ = <class 'fractions.Fraction'> _normalize = True cls = <class 'fractions.Fraction'> denominator = 809 numerator = 483 self = <[AttributeError("_numerator") raised in repr()] Fraction object at 0x7ff9bc6753a0> /usr/lib64/python3.9/fractions.py:164: NameErrorThis removed _gcd, but it is still called in:
Line 164 in 58a4054
g = _gcd(numerator, denominator) Reproducer:
class myint(int): def __mul__(self, other): return type(self)(int(self)*int(other)) @property def numerator(self): return type(self)(super().numerator) @property def denominator(self): return type(self)(super().denominator)
Before:
>>> fractions.Fraction(myint(1), myint(2)) Fraction(1, 2)
After:
>>> fractions.Fraction(myint(1), myint(2)) Traceback (most recent call last): File "<stdin>", line 1, in <module> File "/usr/lib64/python3.9/fractions.py", line 164, in __new__ g = _gcd(numerator, denominator) NameError: name '_gcd' is not defined
The relevant piece of Python code from fractions.py looks like this:
if type(numerator) is int is type(denominator): # *very* normal case g = math.gcd(numerator, denominator) if denominator < 0: g = -g else: g = _gcd(numerator, denominator)
I wonder whether we should simply drop the type check: math.gcd should accept anything that supports __index__ (and that includes NumPy integer types and anything that implements numbers.Integral).
OTOH, math.gcd will return a plain int, and if we have some subclass myint of int, we might want all the arithmetic to stay in the domain of myints (though I'm not really sure _why_ we'd want that). In that case we'll need to restore the pure Python _gcd implementation.
Naively implementing this code, I'd use isinstance(numerator, int) over type(numerator) is int. Is that strict type check really needed?
I could not find anywhere whether numerator and denominator of numbers.Rational need to be numbers.Integral. I would expect so, however this is not written in the documentation of numbers.Rational. If that's the case, I think checking it for being numbers.Integral and failing hard if not is a reasonable thing to do.
Apologies, I think I moved the discussion off-track. The first order of business should be to fix the regression. We can discuss behaviour changes after that.
I've opened #62509 as a quick fix for the regression.
I tried but failed to write a test to mimick numpy.int64 type. I tried to build a type which implements numbers.Rational but don't inherit from int, but there are way too many methods that I have to implement :-(
Morever, installing numpy on a Python 3.9 virtual environment is quite tricky. Lhe latest Cython release (0.29.14) isn't compatible with Python 3.9.
Miro gave me a command to install Cython on Python 3.9:
python -m pip install https://github.com/cython/cython/archive/master.tar.gz --install-option="--no-cython-compile"
But then "pip install numpy" tries to reinstall Cython which fails :-/
I managed to test my PR with numpy:
$ env/bin/python >>> import fractions >>> import numpy >>> f=fractions.Fraction(numpy.int64(1*3), numpy.int64(2*3)) >>> f Fraction(1, 2) >>> type(f.numerator) <class 'numpy.int64'> >>> type(f.denominator) <class 'numpy.int64'>
So it works as expected: numerator and denominator have the expected type, and there is no exception ;-)
I used the following commands to get numpy in a Python 3.9 virtual environment:
./python -m venv env
env/bin/python -m pip install https://github.com/cython/cython/archive/master.tar.gz --install-option="--no-cython-compile"
curl -O https://files.pythonhosted.org/packages/40/de/0ea5092b8bfd2e3aa6fdbb2e499a9f9adf810992884d414defc1573dca3f/numpy-1.18.1.zip
unzip -d . numpy-1.18.1.zip
cd numpy-1.18.1/
../env/bin/python setup.py installFYI the full numpy test suite pass with PR 18375:
(env) vstinner@apu$ python runtests.py -v
(...)
======================= 9879 passed, 443 skipped, 180 deselected, 17 xfailed, 3 xpassed in 305.17s (0:05:05) =======================Thanks Miro for the bug report and thanks Mark for the great review and discussion! It should now be fixed. I tested manually that my change fix numpy test suite.
Note: these values reflect the state of the issue at the time it was migrated and might not reflect the current state.
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