diff --git a/Lib/test/test_complex.py b/Lib/test/test_complex.py index 22d59c42dcf..88935430386 100644 --- a/Lib/test/test_complex.py +++ b/Lib/test/test_complex.py @@ -5,7 +5,7 @@ from test.test_grammar import (VALID_UNDERSCORE_LITERALS, INVALID_UNDERSCORE_LITERALS) from random import random -from math import atan2, isnan, copysign +from math import isnan, copysign import operator INF = float("inf") @@ -21,6 +21,27 @@ ZERO_DIVISION = ( (1, 0+0j), ) +class WithIndex: + def __init__(self, value): + self.value = value + def __index__(self): + return self.value + +class WithFloat: + def __init__(self, value): + self.value = value + def __float__(self): + return self.value + +class ComplexSubclass(complex): + pass + +class WithComplex: + def __init__(self, value): + self.value = value + def __complex__(self): + return self.value + class ComplexTest(unittest.TestCase): def assertAlmostEqual(self, a, b): @@ -340,137 +361,90 @@ class ComplexTest(unittest.TestCase): self.assertClose(complex(5.3, 9.8).conjugate(), 5.3-9.8j) def test_constructor(self): - class NS: - def __init__(self, value): self.value = value - def __complex__(self): return self.value - self.assertEqual(complex(NS(1+10j)), 1+10j) - self.assertRaises(TypeError, complex, NS(None)) - self.assertRaises(TypeError, complex, {}) - self.assertRaises(TypeError, complex, NS(1.5)) - self.assertRaises(TypeError, complex, NS(1)) - self.assertRaises(TypeError, complex, object()) - self.assertRaises(TypeError, complex, NS(4.25+0.5j), object()) + def check(z, x, y): + self.assertIs(type(z), complex) + self.assertFloatsAreIdentical(z.real, x) + self.assertFloatsAreIdentical(z.imag, y) - self.assertAlmostEqual(complex("1+10j"), 1+10j) - self.assertAlmostEqual(complex(10), 10+0j) - self.assertAlmostEqual(complex(10.0), 10+0j) - self.assertAlmostEqual(complex(10), 10+0j) - self.assertAlmostEqual(complex(10+0j), 10+0j) - self.assertAlmostEqual(complex(1,10), 1+10j) - self.assertAlmostEqual(complex(1,10), 1+10j) - self.assertAlmostEqual(complex(1,10.0), 1+10j) - self.assertAlmostEqual(complex(1,10), 1+10j) - self.assertAlmostEqual(complex(1,10), 1+10j) - self.assertAlmostEqual(complex(1,10.0), 1+10j) - self.assertAlmostEqual(complex(1.0,10), 1+10j) - self.assertAlmostEqual(complex(1.0,10), 1+10j) - self.assertAlmostEqual(complex(1.0,10.0), 1+10j) - self.assertAlmostEqual(complex(3.14+0j), 3.14+0j) - self.assertAlmostEqual(complex(3.14), 3.14+0j) - self.assertAlmostEqual(complex(314), 314.0+0j) - self.assertAlmostEqual(complex(314), 314.0+0j) - self.assertAlmostEqual(complex(3.14+0j, 0j), 3.14+0j) - self.assertAlmostEqual(complex(3.14, 0.0), 3.14+0j) - self.assertAlmostEqual(complex(314, 0), 314.0+0j) - self.assertAlmostEqual(complex(314, 0), 314.0+0j) - self.assertAlmostEqual(complex(0j, 3.14j), -3.14+0j) - self.assertAlmostEqual(complex(0.0, 3.14j), -3.14+0j) - self.assertAlmostEqual(complex(0j, 3.14), 3.14j) - self.assertAlmostEqual(complex(0.0, 3.14), 3.14j) - self.assertAlmostEqual(complex("1"), 1+0j) - self.assertAlmostEqual(complex("1j"), 1j) - self.assertAlmostEqual(complex(), 0) - self.assertAlmostEqual(complex("-1"), -1) - self.assertAlmostEqual(complex("+1"), +1) - self.assertAlmostEqual(complex("(1+2j)"), 1+2j) - self.assertAlmostEqual(complex("(1.3+2.2j)"), 1.3+2.2j) - self.assertAlmostEqual(complex("3.14+1J"), 3.14+1j) - self.assertAlmostEqual(complex(" ( +3.14-6J )"), 3.14-6j) - self.assertAlmostEqual(complex(" ( +3.14-J )"), 3.14-1j) - self.assertAlmostEqual(complex(" ( +3.14+j )"), 3.14+1j) - self.assertAlmostEqual(complex("J"), 1j) - self.assertAlmostEqual(complex("( j )"), 1j) - self.assertAlmostEqual(complex("+J"), 1j) - self.assertAlmostEqual(complex("( -j)"), -1j) - self.assertAlmostEqual(complex('1e-500'), 0.0 + 0.0j) - self.assertAlmostEqual(complex('-1e-500j'), 0.0 - 0.0j) - self.assertAlmostEqual(complex('-1e-500+1e-500j'), -0.0 + 0.0j) - self.assertEqual(complex('1-1j'), 1.0 - 1j) - self.assertEqual(complex('1J'), 1j) + check(complex(), 0.0, 0.0) + check(complex(10), 10.0, 0.0) + check(complex(4.25), 4.25, 0.0) + check(complex(4.25+0j), 4.25, 0.0) + check(complex(4.25+0.5j), 4.25, 0.5) + check(complex(ComplexSubclass(4.25+0.5j)), 4.25, 0.5) + check(complex(WithComplex(4.25+0.5j)), 4.25, 0.5) - class complex2(complex): pass - self.assertAlmostEqual(complex(complex2(1+1j)), 1+1j) - self.assertAlmostEqual(complex(real=17, imag=23), 17+23j) - self.assertAlmostEqual(complex(real=17+23j), 17+23j) - self.assertAlmostEqual(complex(real=17+23j, imag=23), 17+46j) - self.assertAlmostEqual(complex(real=1+2j, imag=3+4j), -3+5j) + check(complex(1, 10), 1.0, 10.0) + check(complex(1, 10.0), 1.0, 10.0) + check(complex(1, 4.25), 1.0, 4.25) + check(complex(1.0, 10), 1.0, 10.0) + check(complex(4.25, 10), 4.25, 10.0) + check(complex(1.0, 10.0), 1.0, 10.0) + check(complex(4.25, 0.5), 4.25, 0.5) + + check(complex(4.25+0j, 0), 4.25, 0.0) + check(complex(ComplexSubclass(4.25+0j), 0), 4.25, 0.0) + check(complex(WithComplex(4.25+0j), 0), 4.25, 0.0) + check(complex(4.25j, 0), 0.0, 4.25) + check(complex(0j, 4.25), 0.0, 4.25) + check(complex(0, 4.25+0j), 0.0, 4.25) + check(complex(0, ComplexSubclass(4.25+0j)), 0.0, 4.25) + with self.assertRaisesRegex(TypeError, + "second argument must be a number, not 'WithComplex'"): + complex(0, WithComplex(4.25+0j)) + check(complex(0.0, 4.25j), -4.25, 0.0) + check(complex(4.25+0j, 0j), 4.25, 0.0) + check(complex(4.25j, 0j), 0.0, 4.25) + check(complex(0j, 4.25+0j), 0.0, 4.25) + check(complex(0j, 4.25j), -4.25, 0.0) + + check(complex(real=4.25), 4.25, 0.0) + check(complex(real=4.25+0j), 4.25, 0.0) + check(complex(real=4.25+1.5j), 4.25, 1.5) + check(complex(imag=1.5), 0.0, 1.5) + check(complex(real=4.25, imag=1.5), 4.25, 1.5) + check(complex(4.25, imag=1.5), 4.25, 1.5) # check that the sign of a zero in the real or imaginary part - # is preserved when constructing from two floats. (These checks - # are harmless on systems without support for signed zeros.) - def split_zeros(x): - """Function that produces different results for 0. and -0.""" - return atan2(x, -1.) + # is preserved when constructing from two floats. + for x in 1.0, -1.0: + for y in 0.0, -0.0: + check(complex(x, y), x, y) + check(complex(y, x), y, x) - self.assertEqual(split_zeros(complex(1., 0.).imag), split_zeros(0.)) - self.assertEqual(split_zeros(complex(1., -0.).imag), split_zeros(-0.)) - self.assertEqual(split_zeros(complex(0., 1.).real), split_zeros(0.)) - self.assertEqual(split_zeros(complex(-0., 1.).real), split_zeros(-0.)) + c = complex(4.25, 1.5) + self.assertIs(complex(c), c) + c2 = ComplexSubclass(c) + self.assertEqual(c2, c) + self.assertIs(type(c2), ComplexSubclass) + del c, c2 - c = 3.14 + 1j - self.assertTrue(complex(c) is c) - del c - - self.assertRaises(TypeError, complex, "1", "1") - self.assertRaises(TypeError, complex, 1, "1") - - # SF bug 543840: complex(string) accepts strings with \0 - # Fixed in 2.3. - self.assertRaises(ValueError, complex, '1+1j\0j') - - self.assertRaises(TypeError, int, 5+3j) - self.assertRaises(TypeError, int, 5+3j) - self.assertRaises(TypeError, float, 5+3j) - self.assertRaises(ValueError, complex, "") - self.assertRaises(TypeError, complex, None) - self.assertRaisesRegex(TypeError, "not 'NoneType'", complex, None) - self.assertRaises(ValueError, complex, "\0") - self.assertRaises(ValueError, complex, "3\09") - self.assertRaises(TypeError, complex, "1", "2") - self.assertRaises(TypeError, complex, "1", 42) - self.assertRaises(TypeError, complex, 1, "2") - self.assertRaises(ValueError, complex, "1+") - self.assertRaises(ValueError, complex, "1+1j+1j") - self.assertRaises(ValueError, complex, "--") - self.assertRaises(ValueError, complex, "(1+2j") - self.assertRaises(ValueError, complex, "1+2j)") - self.assertRaises(ValueError, complex, "1+(2j)") - self.assertRaises(ValueError, complex, "(1+2j)123") - self.assertRaises(ValueError, complex, "x") - self.assertRaises(ValueError, complex, "1j+2") - self.assertRaises(ValueError, complex, "1e1ej") - self.assertRaises(ValueError, complex, "1e++1ej") - self.assertRaises(ValueError, complex, ")1+2j(") - self.assertRaisesRegex( - TypeError, + self.assertRaisesRegex(TypeError, "first argument must be a string or a number, not 'dict'", - complex, {1:2}, 1) - self.assertRaisesRegex( - TypeError, + complex, {}) + self.assertRaisesRegex(TypeError, + "first argument must be a string or a number, not 'NoneType'", + complex, None) + self.assertRaisesRegex(TypeError, + "first argument must be a string or a number, not 'dict'", + complex, {1:2}, 0) + self.assertRaisesRegex(TypeError, + "can't take second arg if first is a string", + complex, '1', 0) + self.assertRaisesRegex(TypeError, "second argument must be a number, not 'dict'", - complex, 1, {1:2}) - # the following three are accepted by Python 2.6 - self.assertRaises(ValueError, complex, "1..1j") - self.assertRaises(ValueError, complex, "1.11.1j") - self.assertRaises(ValueError, complex, "1e1.1j") + complex, 0, {1:2}) + self.assertRaisesRegex(TypeError, + "second arg can't be a string", + complex, 0, '1') - # check that complex accepts long unicode strings - self.assertEqual(type(complex("1"*500)), complex) - # check whitespace processing - self.assertEqual(complex('\N{EM SPACE}(\N{EN SPACE}1+1j ) '), 1+1j) - # Invalid unicode string - # See bpo-34087 - self.assertRaises(ValueError, complex, '\u3053\u3093\u306b\u3061\u306f') + self.assertRaises(TypeError, complex, WithComplex(1.5)) + self.assertRaises(TypeError, complex, WithComplex(1)) + self.assertRaises(TypeError, complex, WithComplex(None)) + self.assertRaises(TypeError, complex, WithComplex(4.25+0j), object()) + self.assertRaises(TypeError, complex, WithComplex(1.5), object()) + self.assertRaises(TypeError, complex, WithComplex(1), object()) + self.assertRaises(TypeError, complex, WithComplex(None), object()) class EvilExc(Exception): pass @@ -481,33 +455,33 @@ class ComplexTest(unittest.TestCase): self.assertRaises(EvilExc, complex, evilcomplex()) - class float2: - def __init__(self, value): - self.value = value - def __float__(self): - return self.value + check(complex(WithFloat(4.25)), 4.25, 0.0) + check(complex(WithFloat(4.25), 1.5), 4.25, 1.5) + check(complex(1.5, WithFloat(4.25)), 1.5, 4.25) + self.assertRaises(TypeError, complex, WithFloat(42)) + self.assertRaises(TypeError, complex, WithFloat(42), 1.5) + self.assertRaises(TypeError, complex, 1.5, WithFloat(42)) + self.assertRaises(TypeError, complex, WithFloat(None)) + self.assertRaises(TypeError, complex, WithFloat(None), 1.5) + self.assertRaises(TypeError, complex, 1.5, WithFloat(None)) - self.assertAlmostEqual(complex(float2(42.)), 42) - self.assertAlmostEqual(complex(real=float2(17.), imag=float2(23.)), 17+23j) - self.assertRaises(TypeError, complex, float2(None)) - - class MyIndex: - def __init__(self, value): - self.value = value - def __index__(self): - return self.value - - self.assertAlmostEqual(complex(MyIndex(42)), 42.0+0.0j) - self.assertAlmostEqual(complex(123, MyIndex(42)), 123.0+42.0j) - self.assertRaises(OverflowError, complex, MyIndex(2**2000)) - self.assertRaises(OverflowError, complex, 123, MyIndex(2**2000)) + check(complex(WithIndex(42)), 42.0, 0.0) + check(complex(WithIndex(42), 1.5), 42.0, 1.5) + check(complex(1.5, WithIndex(42)), 1.5, 42.0) + self.assertRaises(OverflowError, complex, WithIndex(2**2000)) + self.assertRaises(OverflowError, complex, WithIndex(2**2000), 1.5) + self.assertRaises(OverflowError, complex, 1.5, WithIndex(2**2000)) + self.assertRaises(TypeError, complex, WithIndex(None)) + self.assertRaises(TypeError, complex, WithIndex(None), 1.5) + self.assertRaises(TypeError, complex, 1.5, WithIndex(None)) class MyInt: def __int__(self): return 42 self.assertRaises(TypeError, complex, MyInt()) - self.assertRaises(TypeError, complex, 123, MyInt()) + self.assertRaises(TypeError, complex, MyInt(), 1.5) + self.assertRaises(TypeError, complex, 1.5, MyInt()) class complex0(complex): """Test usage of __complex__() when inheriting from 'complex'""" @@ -527,9 +501,9 @@ class ComplexTest(unittest.TestCase): def __complex__(self): return None - self.assertEqual(complex(complex0(1j)), 42j) + check(complex(complex0(1j)), 0.0, 42.0) with self.assertWarns(DeprecationWarning): - self.assertEqual(complex(complex1(1j)), 2j) + check(complex(complex1(1j)), 0.0, 2.0) self.assertRaises(TypeError, complex, complex2(1j)) def test___complex__(self): @@ -537,36 +511,93 @@ class ComplexTest(unittest.TestCase): self.assertEqual(z.__complex__(), z) self.assertEqual(type(z.__complex__()), complex) - class complex_subclass(complex): - pass - - z = complex_subclass(3 + 4j) + z = ComplexSubclass(3 + 4j) self.assertEqual(z.__complex__(), 3 + 4j) self.assertEqual(type(z.__complex__()), complex) @support.requires_IEEE_754 def test_constructor_special_numbers(self): - class complex2(complex): - pass for x in 0.0, -0.0, INF, -INF, NAN: for y in 0.0, -0.0, INF, -INF, NAN: with self.subTest(x=x, y=y): z = complex(x, y) self.assertFloatsAreIdentical(z.real, x) self.assertFloatsAreIdentical(z.imag, y) - z = complex2(x, y) - self.assertIs(type(z), complex2) + z = ComplexSubclass(x, y) + self.assertIs(type(z), ComplexSubclass) self.assertFloatsAreIdentical(z.real, x) self.assertFloatsAreIdentical(z.imag, y) - z = complex(complex2(x, y)) + z = complex(ComplexSubclass(x, y)) self.assertIs(type(z), complex) self.assertFloatsAreIdentical(z.real, x) self.assertFloatsAreIdentical(z.imag, y) - z = complex2(complex(x, y)) - self.assertIs(type(z), complex2) + z = ComplexSubclass(complex(x, y)) + self.assertIs(type(z), ComplexSubclass) self.assertFloatsAreIdentical(z.real, x) self.assertFloatsAreIdentical(z.imag, y) + def test_constructor_from_string(self): + def check(z, x, y): + self.assertIs(type(z), complex) + self.assertFloatsAreIdentical(z.real, x) + self.assertFloatsAreIdentical(z.imag, y) + + check(complex("1"), 1.0, 0.0) + check(complex("1j"), 0.0, 1.0) + check(complex("-1"), -1.0, 0.0) + check(complex("+1"), 1.0, 0.0) + check(complex("1+2j"), 1.0, 2.0) + check(complex("(1+2j)"), 1.0, 2.0) + check(complex("(1.5+4.25j)"), 1.5, 4.25) + check(complex("4.25+1J"), 4.25, 1.0) + check(complex(" ( +4.25-6J )"), 4.25, -6.0) + check(complex(" ( +4.25-J )"), 4.25, -1.0) + check(complex(" ( +4.25+j )"), 4.25, 1.0) + check(complex("J"), 0.0, 1.0) + check(complex("( j )"), 0.0, 1.0) + check(complex("+J"), 0.0, 1.0) + check(complex("( -j)"), 0.0, -1.0) + check(complex('1-1j'), 1.0, -1.0) + check(complex('1J'), 0.0, 1.0) + + check(complex('1e-500'), 0.0, 0.0) + check(complex('-1e-500j'), 0.0, -0.0) + check(complex('1e-500+1e-500j'), 0.0, 0.0) + check(complex('-1e-500+1e-500j'), -0.0, 0.0) + check(complex('1e-500-1e-500j'), 0.0, -0.0) + check(complex('-1e-500-1e-500j'), -0.0, -0.0) + + # SF bug 543840: complex(string) accepts strings with \0 + # Fixed in 2.3. + self.assertRaises(ValueError, complex, '1+1j\0j') + self.assertRaises(ValueError, complex, "") + self.assertRaises(ValueError, complex, "\0") + self.assertRaises(ValueError, complex, "3\09") + self.assertRaises(ValueError, complex, "1+") + self.assertRaises(ValueError, complex, "1+1j+1j") + self.assertRaises(ValueError, complex, "--") + self.assertRaises(ValueError, complex, "(1+2j") + self.assertRaises(ValueError, complex, "1+2j)") + self.assertRaises(ValueError, complex, "1+(2j)") + self.assertRaises(ValueError, complex, "(1+2j)123") + self.assertRaises(ValueError, complex, "x") + self.assertRaises(ValueError, complex, "1j+2") + self.assertRaises(ValueError, complex, "1e1ej") + self.assertRaises(ValueError, complex, "1e++1ej") + self.assertRaises(ValueError, complex, ")1+2j(") + # the following three are accepted by Python 2.6 + self.assertRaises(ValueError, complex, "1..1j") + self.assertRaises(ValueError, complex, "1.11.1j") + self.assertRaises(ValueError, complex, "1e1.1j") + + # check that complex accepts long unicode strings + self.assertIs(type(complex("1"*500)), complex) + # check whitespace processing + self.assertEqual(complex('\N{EM SPACE}(\N{EN SPACE}1+1j ) '), 1+1j) + # Invalid unicode string + # See bpo-34087 + self.assertRaises(ValueError, complex, '\u3053\u3093\u306b\u3061\u306f') + def test_constructor_negative_nans_from_string(self): self.assertEqual(copysign(1., complex("-nan").real), -1.) self.assertEqual(copysign(1., complex("-nanj").imag), -1.) @@ -645,9 +676,6 @@ class ComplexTest(unittest.TestCase): test(complex(-0., -0.), "(-0-0j)") def test_pos(self): - class ComplexSubclass(complex): - pass - self.assertEqual(+(1+6j), 1+6j) self.assertEqual(+ComplexSubclass(1, 6), 1+6j) self.assertIs(type(+ComplexSubclass(1, 6)), complex) @@ -667,8 +695,8 @@ class ComplexTest(unittest.TestCase): def test_plus_minus_0j(self): # test that -0j and 0j literals are not identified z1, z2 = 0j, -0j - self.assertEqual(atan2(z1.imag, -1.), atan2(0., -1.)) - self.assertEqual(atan2(z2.imag, -1.), atan2(-0., -1.)) + self.assertFloatsAreIdentical(z1.imag, 0.0) + self.assertFloatsAreIdentical(z2.imag, -0.0) @support.requires_IEEE_754 def test_negated_imaginary_literal(self):