Alexander Hess
153094eef5
- add `lalib.fields.base.Field`, a blueprint for all concrete fields,
providing a unified interface to be used outside of the
`lalib.fields` sub-package
- implement `lalib.fields.complex_.ComplexField`, or `C` for short,
the field over the complex numbers (modeled as `complex` numbers)
- implement `lalib.fields.galois.GaloisField2`, or `GF2` for short,
the (finite) field over the two elements `one` and `zero`
+ adapt `lalib.elements.galois.GF2Element.__eq__()` to return
`NotImplemented` instead of `False` for non-castable `other`s
=> this fixes a minor issue with `pytest.approx()`
- implement `lalib.fields.rational.RationalField`, or `Q` for short,
the field over the rational numbers (modeled as `fractions.Fraction`s)
- implement `lalib.fields.real.RealField`, or `R` for short,
the field over the real numbers (modeled as `float`s)
- organize top-level imports for `lalib.fields`,
making `Q`, `R`, `C`, and `GF2` importable with
`from lalib.fields import *`
- provide extensive unit and integration tests for the new objects:
+ test generic and common behavior in `tests.fields.test_base`
+ test specific behavior is other modules
+ test the well-known math axioms for all fields (integration tests)
+ test the new objects' docstrings
+ add "pytest-repeat" to run randomized tests many times
29 lines
697 B
Python
29 lines
697 B
Python
"""Tests for the `lalib.fields.rational.RationalField` only."""
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import fractions
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import pytest
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from lalib import fields
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Q = fields.Q
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class TestCastAndValidateFieldElements:
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"""Test specifics for `Q.cast()` and `Q.validate()`."""
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@pytest.mark.parametrize(
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"value",
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["1", "0", "1/1", "0/1", "+42", "-42", "+42/1", "-42/1"],
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)
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def test_str_is_field_element(self, value):
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"""`fractions.Fraction()` also accepts `str`ings.
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Source: https://docs.python.org/3/library/fractions.html#fractions.Fraction
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"""
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left = Q.cast(value)
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right = fractions.Fraction(value)
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assert left == right
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assert Q.validate(value)
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