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| """Tests for PythonRational type. """ | |
| from sympy.polys.domains import PythonRational as QQ | |
| from sympy.testing.pytest import raises | |
| def test_PythonRational__init__(): | |
| assert QQ(0).numerator == 0 | |
| assert QQ(0).denominator == 1 | |
| assert QQ(0, 1).numerator == 0 | |
| assert QQ(0, 1).denominator == 1 | |
| assert QQ(0, -1).numerator == 0 | |
| assert QQ(0, -1).denominator == 1 | |
| assert QQ(1).numerator == 1 | |
| assert QQ(1).denominator == 1 | |
| assert QQ(1, 1).numerator == 1 | |
| assert QQ(1, 1).denominator == 1 | |
| assert QQ(-1, -1).numerator == 1 | |
| assert QQ(-1, -1).denominator == 1 | |
| assert QQ(-1).numerator == -1 | |
| assert QQ(-1).denominator == 1 | |
| assert QQ(-1, 1).numerator == -1 | |
| assert QQ(-1, 1).denominator == 1 | |
| assert QQ( 1, -1).numerator == -1 | |
| assert QQ( 1, -1).denominator == 1 | |
| assert QQ(1, 2).numerator == 1 | |
| assert QQ(1, 2).denominator == 2 | |
| assert QQ(3, 4).numerator == 3 | |
| assert QQ(3, 4).denominator == 4 | |
| assert QQ(2, 2).numerator == 1 | |
| assert QQ(2, 2).denominator == 1 | |
| assert QQ(2, 4).numerator == 1 | |
| assert QQ(2, 4).denominator == 2 | |
| def test_PythonRational__hash__(): | |
| assert hash(QQ(0)) == hash(0) | |
| assert hash(QQ(1)) == hash(1) | |
| assert hash(QQ(117)) == hash(117) | |
| def test_PythonRational__int__(): | |
| assert int(QQ(-1, 4)) == 0 | |
| assert int(QQ( 1, 4)) == 0 | |
| assert int(QQ(-5, 4)) == -1 | |
| assert int(QQ( 5, 4)) == 1 | |
| def test_PythonRational__float__(): | |
| assert float(QQ(-1, 2)) == -0.5 | |
| assert float(QQ( 1, 2)) == 0.5 | |
| def test_PythonRational__abs__(): | |
| assert abs(QQ(-1, 2)) == QQ(1, 2) | |
| assert abs(QQ( 1, 2)) == QQ(1, 2) | |
| def test_PythonRational__pos__(): | |
| assert +QQ(-1, 2) == QQ(-1, 2) | |
| assert +QQ( 1, 2) == QQ( 1, 2) | |
| def test_PythonRational__neg__(): | |
| assert -QQ(-1, 2) == QQ( 1, 2) | |
| assert -QQ( 1, 2) == QQ(-1, 2) | |
| def test_PythonRational__add__(): | |
| assert QQ(-1, 2) + QQ( 1, 2) == QQ(0) | |
| assert QQ( 1, 2) + QQ(-1, 2) == QQ(0) | |
| assert QQ(1, 2) + QQ(1, 2) == QQ(1) | |
| assert QQ(1, 2) + QQ(3, 2) == QQ(2) | |
| assert QQ(3, 2) + QQ(1, 2) == QQ(2) | |
| assert QQ(3, 2) + QQ(3, 2) == QQ(3) | |
| assert 1 + QQ(1, 2) == QQ(3, 2) | |
| assert QQ(1, 2) + 1 == QQ(3, 2) | |
| def test_PythonRational__sub__(): | |
| assert QQ(-1, 2) - QQ( 1, 2) == QQ(-1) | |
| assert QQ( 1, 2) - QQ(-1, 2) == QQ( 1) | |
| assert QQ(1, 2) - QQ(1, 2) == QQ( 0) | |
| assert QQ(1, 2) - QQ(3, 2) == QQ(-1) | |
| assert QQ(3, 2) - QQ(1, 2) == QQ( 1) | |
| assert QQ(3, 2) - QQ(3, 2) == QQ( 0) | |
| assert 1 - QQ(1, 2) == QQ( 1, 2) | |
| assert QQ(1, 2) - 1 == QQ(-1, 2) | |
| def test_PythonRational__mul__(): | |
| assert QQ(-1, 2) * QQ( 1, 2) == QQ(-1, 4) | |
| assert QQ( 1, 2) * QQ(-1, 2) == QQ(-1, 4) | |
| assert QQ(1, 2) * QQ(1, 2) == QQ(1, 4) | |
| assert QQ(1, 2) * QQ(3, 2) == QQ(3, 4) | |
| assert QQ(3, 2) * QQ(1, 2) == QQ(3, 4) | |
| assert QQ(3, 2) * QQ(3, 2) == QQ(9, 4) | |
| assert 2 * QQ(1, 2) == QQ(1) | |
| assert QQ(1, 2) * 2 == QQ(1) | |
| def test_PythonRational__truediv__(): | |
| assert QQ(-1, 2) / QQ( 1, 2) == QQ(-1) | |
| assert QQ( 1, 2) / QQ(-1, 2) == QQ(-1) | |
| assert QQ(1, 2) / QQ(1, 2) == QQ(1) | |
| assert QQ(1, 2) / QQ(3, 2) == QQ(1, 3) | |
| assert QQ(3, 2) / QQ(1, 2) == QQ(3) | |
| assert QQ(3, 2) / QQ(3, 2) == QQ(1) | |
| assert 2 / QQ(1, 2) == QQ(4) | |
| assert QQ(1, 2) / 2 == QQ(1, 4) | |
| raises(ZeroDivisionError, lambda: QQ(1, 2) / QQ(0)) | |
| raises(ZeroDivisionError, lambda: QQ(1, 2) / 0) | |
| def test_PythonRational__pow__(): | |
| assert QQ(1)**10 == QQ(1) | |
| assert QQ(2)**10 == QQ(1024) | |
| assert QQ(1)**(-10) == QQ(1) | |
| assert QQ(2)**(-10) == QQ(1, 1024) | |
| def test_PythonRational__eq__(): | |
| assert (QQ(1, 2) == QQ(1, 2)) is True | |
| assert (QQ(1, 2) != QQ(1, 2)) is False | |
| assert (QQ(1, 2) == QQ(1, 3)) is False | |
| assert (QQ(1, 2) != QQ(1, 3)) is True | |
| def test_PythonRational__lt_le_gt_ge__(): | |
| assert (QQ(1, 2) < QQ(1, 4)) is False | |
| assert (QQ(1, 2) <= QQ(1, 4)) is False | |
| assert (QQ(1, 2) > QQ(1, 4)) is True | |
| assert (QQ(1, 2) >= QQ(1, 4)) is True | |
| assert (QQ(1, 4) < QQ(1, 2)) is True | |
| assert (QQ(1, 4) <= QQ(1, 2)) is True | |
| assert (QQ(1, 4) > QQ(1, 2)) is False | |
| assert (QQ(1, 4) >= QQ(1, 2)) is False | |