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41 changes: 20 additions & 21 deletions Lib/test/test_complex.py
Original file line number Diff line number Diff line change
Expand Up @@ -72,8 +72,8 @@ def assertAlmostEqual(self, a, b):
else:
unittest.TestCase.assertAlmostEqual(self, a, b)

def assertCloseAbs(self, x, y, eps=1e-9):
"""Return true iff floats x and y "are close"."""
def assertClose(self, x, y, eps=1e-9):
"""Return true iff complexes x and y "are close"."""
# put the one with larger magnitude second
if abs(x) > abs(y):
x, y = y, x
Expand All @@ -82,26 +82,15 @@ def assertCloseAbs(self, x, y, eps=1e-9):
if x == 0:
return abs(y) < eps
# check that relative difference < eps
self.assertTrue(abs((x-y)/y) < eps)

def assertClose(self, x, y, eps=1e-9):
"""Return true iff complexes x and y "are close"."""
self.assertCloseAbs(x.real, y.real, eps)
self.assertCloseAbs(x.imag, y.imag, eps)
self.assertTrue(abs(x-y)/abs(y) < eps)

def check_div(self, x, y):
"""Compute complex z=x*y, and check that z/x==y and z/y==x."""
z = x * y
if x != 0:
q = z / x
self.assertClose(q, y)
q = z.__truediv__(x)
self.assertClose(q, y)
if y != 0:
q = z / y
self.assertClose(q, x)
q = z.__truediv__(y)
self.assertClose(q, x)
if x:
self.assertClose(z / x, y)
if y:
self.assertClose(z / y, x)

def test_truediv(self):
simple_real = [float(i) for i in range(-5, 6)]
Expand All @@ -115,10 +104,20 @@ def test_truediv(self):
self.check_div(complex(1e200, 1e200), 1+0j)
self.check_div(complex(1e-200, 1e-200), 1+0j)

# Smith's algorithm has several sources of inaccuracy
# for components of the result. In examples below,
# it's cancellation of digits in computation of sum.
self.check_div(1e-09+1j, 1+1j)
self.check_div(8.289760544677449e-09+0.13257307440728516j,
0.9059966714925808+0.5054864708672686j)

# Just for fun.
for i in range(100):
self.check_div(complex(random(), random()),
complex(random(), random()))
x = complex(random(), random())
y = complex(random(), random())
self.check_div(x, y)
y = complex(1e10*y.real, y.imag)
self.check_div(x, y)

self.assertAlmostEqual(complex.__truediv__(2+0j, 1+1j), 1-1j)
self.assertRaises(TypeError, operator.truediv, 1j, None)
Expand Down Expand Up @@ -454,7 +453,7 @@ def test_boolcontext(self):
self.assertTrue(1j)

def test_conjugate(self):
self.assertClose(complex(5.3, 9.8).conjugate(), 5.3-9.8j)
self.assertEqual(complex(5.3, 9.8).conjugate(), 5.3-9.8j)

def test_constructor(self):
def check(z, x, y):
Expand Down
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