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builtin_complex.py
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160 lines (120 loc) · 4.1 KB
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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
# __pos__
assert +complex(0, 1) == complex(0, 1)
assert +complex(1, 0) == complex(1, 0)
assert +complex(1, -1) == complex(1, -1)
assert +complex(0, 0) == complex(0, 0)
# __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)
class Complex():
def __init__(self, real, imag):
self.real = real
self.imag = imag
def __repr__(self):
return "Com" + str((self.real, self.imag))
def __sub__(self, other):
return Complex(self.real - other, self.imag)
def __rsub__(self, other):
return Complex(other - self.real, -self.imag)
def __eq__(self, other):
return self.real == other.real and self.imag == other.imag
assert Complex(4, 5) - 3 == Complex(1, 5)
assert 7 - Complex(4, 5) == Complex(3, -5)