from testutils import assert_raises # __abs__ assert abs(complex(3, 4)) == 5 assert abs(complex(3, -4)) == 5 assert abs(complex(1.5, 2.5)) == 2.9154759474226504 # __eq__ assert complex(1, -1) == complex(1, -1) assert complex(1, 0) == 1 assert 1 == complex(1, 0) assert complex(1, 1) != 1 assert 1 != complex(1, 1) assert complex(1, 0) == 1.0 assert 1.0 == complex(1, 0) assert complex(1, 1) != 1.0 assert 1.0 != complex(1, 1) assert complex(1, 0) != 1.5 assert not 1.0 != complex(1, 0) assert bool(complex(1, 0)) assert complex(1, 2) != complex(1, 1) assert complex(1, 2) != 'foo' assert complex(1, 2).__eq__('foo') == NotImplemented assert 1j != 10 ** 1000 # __mul__, __rmul__ assert complex(2, -3) * complex(-5, 7) == complex(11, 29) assert complex(2, -3) * 5 == complex(10, -15) assert 5 * complex(2, -3) == complex(2, -3) * 5 # __truediv__, __rtruediv__ assert complex(2, -3) / 2 == complex(1, -1.5) assert 5 / complex(3, -4) == complex(0.6, 0.8) # __mod__, __rmod__ # "can't mod complex numbers. assert_raises(TypeError, lambda: complex(2, -3) % 2) assert_raises(TypeError, lambda: 2 % complex(2, -3)) # __floordiv__, __rfloordiv__ # can't take floor of complex number. assert_raises(TypeError, lambda: complex(2, -3) // 2) assert_raises(TypeError, lambda: 2 // complex(2, -3)) # __divmod__, __rdivmod__ # "can't take floor or mod of complex number." assert_raises(TypeError, lambda: divmod(complex(2, -3), 2)) assert_raises(TypeError, lambda: divmod(2, complex(2, -3))) # __pow__, __rpow__ # assert 1j ** 2 == -1 assert complex(1) ** 2 == 1 assert 2 ** complex(2) == 4 # __neg__ assert -complex(1, -1) == complex(-1, 1) assert -complex(0, 0) == complex(0, 0) # __bool__ assert bool(complex(0, 0)) is False assert bool(complex(0, 1)) is True assert bool(complex(1, 0)) is True # __hash__ assert hash(complex(1)) == hash(float(1)) == hash(int(1)) assert hash(complex(-1)) == hash(float(-1)) == hash(int(-1)) assert hash(complex(3.14)) == hash(float(3.14)) assert hash(complex(-float('inf'))) == hash(-float('inf')) assert hash(1j) != hash(1) # TODO: Find a way to test platform dependent values assert hash(3.1 - 4.2j) == hash(3.1 - 4.2j) assert hash(3.1 + 4.2j) == hash(3.1 + 4.2j) # numbers.Complex a = complex(3, 4) b = 4j assert a.real == 3 assert b.real == 0 assert a.imag == 4 assert b.imag == 4 assert a.conjugate() == 3 - 4j assert b.conjugate() == -4j # int and complex addition assert 1 + 1j == complex(1, 1) assert 1j + 1 == complex(1, 1) assert (1j + 1) + 3 == complex(4, 1) assert 3 + (1j + 1) == complex(4, 1) # float and complex addition assert 1.1 + 1.2j == complex(1.1, 1.2) assert 1.3j + 1.4 == complex(1.4, 1.3) assert (1.5j + 1.6) + 3 == complex(4.6, 1.5) assert 3.5 + (1.1j + 1.2) == complex(4.7, 1.1) # subtraction assert 1 - 1j == complex(1, -1) assert 1j - 1 == complex(-1, 1) assert 2j - 1j == complex(0, 1) # type error addition assert_raises(TypeError, lambda: 1j + 'str') assert_raises(TypeError, lambda: 1j - 'str') assert_raises(TypeError, lambda: 'str' + 1j) assert_raises(TypeError, lambda: 'str' - 1j) # overflow assert_raises(OverflowError, lambda: complex(10 ** 1000, 0)) assert_raises(OverflowError, lambda: complex(0, 10 ** 1000)) assert_raises(OverflowError, lambda: 0j + 10 ** 1000) # str/repr assert '(1+1j)' == str(1+1j) assert '(1-1j)' == str(1-1j) assert '(1+1j)' == repr(1+1j) assert '(1-1j)' == repr(1-1j) # __getnewargs__ assert (3 + 5j).__getnewargs__() == (3.0, 5.0) assert (5j).__getnewargs__() == (0.0, 5.0)