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| """ Unit tests for Hyper_Function""" | |
| from sympy.core import symbols, Dummy, Tuple, S, Rational | |
| from sympy.functions import hyper | |
| from sympy.simplify.hyperexpand import Hyper_Function | |
| def test_attrs(): | |
| a, b = symbols('a, b', cls=Dummy) | |
| f = Hyper_Function([2, a], [b]) | |
| assert f.ap == Tuple(2, a) | |
| assert f.bq == Tuple(b) | |
| assert f.args == (Tuple(2, a), Tuple(b)) | |
| assert f.sizes == (2, 1) | |
| def test_call(): | |
| a, b, x = symbols('a, b, x', cls=Dummy) | |
| f = Hyper_Function([2, a], [b]) | |
| assert f(x) == hyper([2, a], [b], x) | |
| def test_has(): | |
| a, b, c = symbols('a, b, c', cls=Dummy) | |
| f = Hyper_Function([2, -a], [b]) | |
| assert f.has(a) | |
| assert f.has(Tuple(b)) | |
| assert not f.has(c) | |
| def test_eq(): | |
| assert Hyper_Function([1], []) == Hyper_Function([1], []) | |
| assert (Hyper_Function([1], []) != Hyper_Function([1], [])) is False | |
| assert Hyper_Function([1], []) != Hyper_Function([2], []) | |
| assert Hyper_Function([1], []) != Hyper_Function([1, 2], []) | |
| assert Hyper_Function([1], []) != Hyper_Function([1], [2]) | |
| def test_gamma(): | |
| assert Hyper_Function([2, 3], [-1]).gamma == 0 | |
| assert Hyper_Function([-2, -3], [-1]).gamma == 2 | |
| n = Dummy(integer=True) | |
| assert Hyper_Function([-1, n, 1], []).gamma == 1 | |
| assert Hyper_Function([-1, -n, 1], []).gamma == 1 | |
| p = Dummy(integer=True, positive=True) | |
| assert Hyper_Function([-1, p, 1], []).gamma == 1 | |
| assert Hyper_Function([-1, -p, 1], []).gamma == 2 | |
| def test_suitable_origin(): | |
| assert Hyper_Function((S.Half,), (Rational(3, 2),))._is_suitable_origin() is True | |
| assert Hyper_Function((S.Half,), (S.Half,))._is_suitable_origin() is False | |
| assert Hyper_Function((S.Half,), (Rational(-1, 2),))._is_suitable_origin() is False | |
| assert Hyper_Function((S.Half,), (0,))._is_suitable_origin() is False | |
| assert Hyper_Function((S.Half,), (-1, 1,))._is_suitable_origin() is False | |
| assert Hyper_Function((S.Half, 0), (1,))._is_suitable_origin() is False | |
| assert Hyper_Function((S.Half, 1), | |
| (2, Rational(-2, 3)))._is_suitable_origin() is True | |
| assert Hyper_Function((S.Half, 1), | |
| (2, Rational(-2, 3), Rational(3, 2)))._is_suitable_origin() is True | |