diff --git a/Lib/test/test_fractions.py b/Lib/test/test_fractions.py index 3a9a86fe7a8b67..3a714c64278847 100644 --- a/Lib/test/test_fractions.py +++ b/Lib/test/test_fractions.py @@ -135,6 +135,14 @@ def __str__(self): def __repr__(self): return f'{self.__class__.__name__}({self.value!r})' +class SymbolicReal(Symbolic): + pass +numbers.Real.register(SymbolicReal) + +class SymbolicComplex(Symbolic): + pass +numbers.Complex.register(SymbolicComplex) + class Rat: """Simple Rational class for testing mixed arithmetic.""" def __init__(self, n, d): @@ -273,6 +281,8 @@ def __repr__(self): return f'{self.__class__.__name__}({self.x!r}, {self.y!r})' numbers.Complex.register(Rect) +class RectComplex(Rect, complex): + pass class FractionTest(unittest.TestCase): @@ -790,12 +800,17 @@ def testMixedMultiplication(self): self.assertTypedEquals(F(3, 2) * Root(4), Root(F(9, 1))) self.assertTypedEquals(Root(4) * F(3, 2), 3.0) + self.assertEqual(F(3, 2) * SymbolicReal('X'), SymbolicReal('3/2 * X')) + self.assertRaises(TypeError, operator.mul, SymbolicReal('X'), F(3, 2)) self.assertTypedEquals(F(3, 2) * Polar(4, 2), Polar(F(6, 1), 2)) self.assertTypedEquals(F(3, 2) * Polar(4.0, 2), Polar(6.0, 2)) self.assertTypedEquals(F(3, 2) * Rect(4, 3), Rect(F(6, 1), F(9, 2))) + self.assertTypedEquals(F(3, 2) * RectComplex(4, 3), RectComplex(6.0+0j, 4.5+0j)) self.assertRaises(TypeError, operator.mul, Polar(4, 2), F(3, 2)) self.assertTypedEquals(Rect(4, 3) * F(3, 2), 6.0 + 4.5j) + self.assertEqual(F(3, 2) * SymbolicComplex('X'), SymbolicComplex('3/2 * X')) + self.assertRaises(TypeError, operator.mul, SymbolicComplex('X'), F(3, 2)) self.assertEqual(F(3, 2) * Symbolic('X'), Symbolic('3/2 * X')) self.assertRaises(TypeError, operator.mul, Symbolic('X'), F(3, 2)) @@ -815,12 +830,16 @@ def testMixedDivision(self): self.assertTypedEquals(F(2, 3) / Root(4), Root(F(1, 9))) self.assertTypedEquals(Root(4) / F(2, 3), 3.0) + self.assertEqual(F(3, 2) / SymbolicReal('X'), SymbolicReal('3/2 / X')) + self.assertRaises(TypeError, operator.truediv, SymbolicReal('X'), F(3, 2)) self.assertTypedEquals(F(3, 2) / Polar(4, 2), Polar(F(3, 8), -2)) self.assertTypedEquals(F(3, 2) / Polar(4.0, 2), Polar(0.375, -2)) self.assertTypedEquals(F(3, 2) / Rect(4, 3), Rect(0.24, 0.18)) self.assertRaises(TypeError, operator.truediv, Polar(4, 2), F(2, 3)) self.assertTypedEquals(Rect(4, 3) / F(2, 3), 6.0 + 4.5j) + self.assertEqual(F(3, 2) / SymbolicComplex('X'), SymbolicComplex('3/2 / X')) + self.assertRaises(TypeError, operator.truediv, SymbolicComplex('X'), F(3, 2)) self.assertEqual(F(3, 2) / Symbolic('X'), Symbolic('3/2 / X')) self.assertRaises(TypeError, operator.truediv, Symbolic('X'), F(2, 3)) @@ -857,9 +876,14 @@ def testMixedIntegerDivision(self): self.assertRaises(TypeError, operator.mod, F(2, 3), Root(4)) self.assertTypedEquals(Root(4) % F(3, 2), 0.5) + self.assertEqual(F(3, 2) % SymbolicReal('X'), SymbolicReal('3/2 % X')) + self.assertRaises(TypeError, operator.mod, SymbolicReal('X'), F(3, 2)) self.assertRaises(TypeError, operator.mod, F(3, 2), Polar(4, 2)) + self.assertRaises(TypeError, operator.mod, F(3, 2), RectComplex(4, 3)) self.assertRaises(TypeError, operator.mod, Rect(4, 3), F(2, 3)) + self.assertEqual(F(3, 2) % SymbolicComplex('X'), SymbolicComplex('3/2 % X')) + self.assertRaises(TypeError, operator.mod, SymbolicComplex('X'), F(3, 2)) self.assertEqual(F(3, 2) % Symbolic('X'), Symbolic('3/2 % X')) self.assertRaises(TypeError, operator.mod, Symbolic('X'), F(2, 3)) @@ -888,7 +912,6 @@ def testMixedPower(self): self.assertIsInstance(F(4, 9) ** Rat(-3, 2), float) self.assertAlmostEqual(F(4, 9) ** Rat(-3, 2), 3.375) self.assertAlmostEqual(F(-4, 9) ** Rat(-3, 2), 3.375j) - self.assertTypedEquals(Rat(9, 4) ** F(3, 2), 3.375) self.assertTypedEquals(Rat(3, 2) ** F(3, 1), Rat(27, 8)) self.assertTypedEquals(Rat(3, 2) ** F(-3, 1), F(8, 27)) @@ -899,16 +922,22 @@ def testMixedPower(self): self.assertTypedEquals(Root(4) ** F(2, 1), Root(4, F(1))) self.assertTypedEquals(Root(4) ** F(-2, 1), Root(4, -F(1))) self.assertTypedEquals(Root(4) ** F(-2, 3), Root(4, -3.0)) + self.assertEqual(F(3, 2) ** SymbolicReal('X'), SymbolicReal('1.5 ** X')) + self.assertEqual(SymbolicReal('X') ** F(3, 2), SymbolicReal('X ** 1.5')) self.assertTypedEquals(F(3, 2) ** Rect(2, 0), Polar(2.25, 0.0)) self.assertTypedEquals(F(1, 1) ** Rect(2, 3), Polar(1.0, 0.0)) + self.assertTypedEquals(F(3, 2) ** RectComplex(2, 0), Polar(2.25, 0.0)) + self.assertTypedEquals(F(1, 1) ** RectComplex(2, 3), Polar(1.0, 0.0)) self.assertTypedEquals(Polar(4, 2) ** F(3, 2), Polar(8.0, 3.0)) self.assertTypedEquals(Polar(4, 2) ** F(3, 1), Polar(64, 6)) self.assertTypedEquals(Polar(4, 2) ** F(-3, 1), Polar(0.015625, -6)) self.assertTypedEquals(Polar(4, 2) ** F(-3, 2), Polar(0.125, -3.0)) + self.assertEqual(F(3, 2) ** SymbolicComplex('X'), SymbolicComplex('1.5 ** X')) + self.assertEqual(SymbolicComplex('X') ** F(3, 2), SymbolicComplex('X ** 1.5')) - self.assertTypedEquals(F(3, 2) ** Symbolic('X'), Symbolic('1.5 ** X')) - self.assertTypedEquals(Symbolic('X') ** F(3, 2), Symbolic('X ** 1.5')) + self.assertEqual(F(3, 2) ** Symbolic('X'), Symbolic('1.5 ** X')) + self.assertEqual(Symbolic('X') ** F(3, 2), Symbolic('X ** 1.5')) def testMixingWithDecimal(self): # Decimal refuses mixed arithmetic (but not mixed comparisons) pFad - Phonifier reborn

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