Support .as_integer_ratio() in fractions.Fraction

[jdemeyer]

BPO	37836
Nosy	@rhettinger, @mdickinson, @serhiy-storchaka, @jdemeyer
PRs	bpo-37836: support .as_integer_ratio() in Fraction #15327 bpo-37836: document as_integer_ratio() in the data model #15328

^{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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GitHub fields:

assignee = None
closed_at = None
created_at = <Date 2019-08-13.09:41:19.711>
labels = ['library', '3.9']
title = 'Support .as_integer_ratio() in fractions.Fraction'
updated_at = <Date 2022-01-02.22:00:12.998>
user = 'https://github.com/jdemeyer'

bugs.python.org fields:

activity = <Date 2022-01-02.22:00:12.998>
actor = 'rhettinger'
assignee = 'none'
closed = False
closed_date = None
closer = None
components = ['Library (Lib)']
creation = <Date 2019-08-13.09:41:19.711>
creator = 'jdemeyer'
dependencies = []
files = []
hgrepos = []
issue_num = 37836
keywords = ['patch']
message_count = 6.0
messages = ['349536', '349933', '349940', '349942', '349945', '409531']
nosy_count = 5.0
nosy_names = ['rhettinger', 'mark.dickinson', 'stutzbach', 'serhiy.storchaka', 'jdemeyer']
pr_nums = ['15327', '15328']
priority = 'normal'
resolution = None
stage = 'patch review'
status = 'open'
superseder = None
type = None
url = 'https://bugs.python.org/issue37836'
versions = ['Python 3.9']

Linked PRs

• gh-82017: Support as_integer_ratio() in the Fraction constructor #120271

[jdemeyer]

Currently, the fractions.Fraction constructor accepts an .as_integer_ratio() method only for the specific types "float" and "Decimal". It would be good to support this for arbitrary classes.

This is part of what was proposed in bpo-37822, but without adding the math.operator() function.

[serhiy-storchaka]

I afraid this can slow down the Fraction constructor.

[serhiy-storchaka]

See bpo-37884 which uses a C accelerator.

[jdemeyer]

See bpo-37884 which uses a C accelerator.

Note that that doesn't replace this issue, because I need to support as_integer_ratio both in the *numerator* and *denominator*.

[jdemeyer]

I afraid this can slow down the Fraction constructor.

No, it doesn't! It even speeds up the constructor in some cases:

./python -m perf timeit --duplicate 200 -s 'from fractions import Fraction; x = 1' 'Fraction(x)'
BEFORE: Mean +- std dev: 826 ns +- 20 ns
AFTER: Mean +- std dev: 814 ns +- 17 ns

./python -m perf timeit --duplicate 200 -s 'from fractions import Fraction; x = 1' 'Fraction(x, x)'
BEFORE: Mean +- std dev: 1.44 us +- 0.03 us
AFTER: Mean +- std dev: 1.46 us +- 0.02 us

./python -m perf timeit --duplicate 200 -s 'from fractions import Fraction; x = Fraction(1)' 'Fraction(x)'
BEFORE: Mean +- std dev: 1.64 us +- 0.03 us
AFTER: Mean +- std dev: 1.30 us +- 0.04 us

./python -m perf timeit --duplicate 200 -s 'from fractions import Fraction; x = Fraction(1)' 'Fraction(x, x)'
BEFORE: Mean +- std dev: 3.03 us +- 0.05 us
AFTER: Mean +- std dev: 2.34 us +- 0.06 us

./python -m perf timeit --duplicate 200 -s 'from fractions import Fraction; x = 1.0' 'Fraction(x)'
BEFORE: Mean +- std dev: 1.82 us +- 0.02 us
AFTER: Mean +- std dev: 1.29 us +- 0.04 us

[rhettinger]

I don't think this is a door we should open:

   >>> Fraction(3.5, 2.5)
   Fraction(7, 5)

This currently raises a useful exception:

TypeError: both arguments should be Rational instances

That is especially helpful in avoiding cases like this:

    >>> Fraction(1.1, 3.3)
    Fraction(2476979795053773, 7430939385161318)

If that output is desired, the two conversions should be explicit.

    >>> Fraction(1.1) / Fraction(3.3)
    Fraction(2476979795053773, 7430939385161318

I recommend rejecting this feature request as being more likely to be hazardous than helpful.

[serhiy-storchaka]

Concur with @rhettinger.

[serhiy-storchaka]

This proposition was rejected because it used as_integer_ratio() in both single- and two-argument forms of the Fraction constructor. But these two forms have different roles. The former converts a number to a Fraction or parses a string representation of fraction. The latter creates a fraction from two rationals (and this is perhaps too much, it could be limited to integers). Conversion from integer supports not only rational numbers, but also float and Decimal. Supporting as_integer_ratio() here would allow to convert float128 and other non-rational numbers to Fraction.

So I reopen this issue with more limited goal -- supporting as_integer_ratio() in a single-argument form of the Fraction constructor.