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v0.5.1
v0.5.1
https://github.com/python/cpython
Revision 73acad1fa2634cb4ec77d8c98bdcd1a8b9c031ed authored by Giampaolo Rodolà on 10 February 2011, 18:42:36 UTC, committed by Giampaolo Rodolà on 10 February 2011, 18:42:36 UTC
1 parent 1fbd8e1
Tip revision: 73acad1fa2634cb4ec77d8c98bdcd1a8b9c031ed authored by Giampaolo Rodolà on 10 February 2011, 18:42:36 UTC
get rid of asyncore.dispatcher's debug attribute, which is no longer used (assuming it ever was).
get rid of asyncore.dispatcher's debug attribute, which is no longer used (assuming it ever was).
Tip revision: 73acad1
test_complex.py
import unittest
from test import support
from random import random
from math import atan2, isnan, copysign
import operator
INF = float("inf")
NAN = float("nan")
# These tests ensure that complex math does the right thing
class ComplexTest(unittest.TestCase):
def assertAlmostEqual(self, a, b):
if isinstance(a, complex):
if isinstance(b, complex):
unittest.TestCase.assertAlmostEqual(self, a.real, b.real)
unittest.TestCase.assertAlmostEqual(self, a.imag, b.imag)
else:
unittest.TestCase.assertAlmostEqual(self, a.real, b)
unittest.TestCase.assertAlmostEqual(self, a.imag, 0.)
else:
if isinstance(b, complex):
unittest.TestCase.assertAlmostEqual(self, a, b.real)
unittest.TestCase.assertAlmostEqual(self, 0., b.imag)
else:
unittest.TestCase.assertAlmostEqual(self, a, b)
def assertCloseAbs(self, x, y, eps=1e-9):
"""Return true iff floats x and y "are close\""""
# put the one with larger magnitude second
if abs(x) > abs(y):
x, y = y, x
if y == 0:
return abs(x) < eps
if x == 0:
return abs(y) < eps
# check that relative difference < eps
self.assertTrue(abs((x-y)/y) < eps)
def assertFloatsAreIdentical(self, x, y):
"""assert that floats x and y are identical, in the sense that:
(1) both x and y are nans, or
(2) both x and y are infinities, with the same sign, or
(3) both x and y are zeros, with the same sign, or
(4) x and y are both finite and nonzero, and x == y
"""
msg = 'floats {!r} and {!r} are not identical'
if isnan(x) or isnan(y):
if isnan(x) and isnan(y):
return
elif x == y:
if x != 0.0:
return
# both zero; check that signs match
elif copysign(1.0, x) == copysign(1.0, y):
return
else:
msg += ': zeros have different signs'
self.fail(msg.format(x, y))
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)
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)
def test_truediv(self):
simple_real = [float(i) for i in range(-5, 6)]
simple_complex = [complex(x, y) for x in simple_real for y in simple_real]
for x in simple_complex:
for y in simple_complex:
self.check_div(x, y)
# A naive complex division algorithm (such as in 2.0) is very prone to
# nonsense errors for these (overflows and underflows).
self.check_div(complex(1e200, 1e200), 1+0j)
self.check_div(complex(1e-200, 1e-200), 1+0j)
# Just for fun.
for i in range(100):
self.check_div(complex(random(), random()),
complex(random(), random()))
self.assertRaises(ZeroDivisionError, complex.__truediv__, 1+1j, 0+0j)
# FIXME: The following currently crashes on Alpha
# self.assertRaises(OverflowError, pow, 1e200+1j, 1e200+1j)
def test_truediv(self):
self.assertAlmostEqual(complex.__truediv__(2+0j, 1+1j), 1-1j)
self.assertRaises(ZeroDivisionError, complex.__truediv__, 1+1j, 0+0j)
def test_floordiv(self):
self.assertRaises(TypeError, complex.__floordiv__, 3+0j, 1.5+0j)
self.assertRaises(TypeError, complex.__floordiv__, 3+0j, 0+0j)
def test_richcompare(self):
self.assertIs(complex.__eq__(1+1j, 1<<10000), False)
self.assertIs(complex.__lt__(1+1j, None), NotImplemented)
self.assertIs(complex.__eq__(1+1j, 1+1j), True)
self.assertIs(complex.__eq__(1+1j, 2+2j), False)
self.assertIs(complex.__ne__(1+1j, 1+1j), False)
self.assertIs(complex.__ne__(1+1j, 2+2j), True)
for i in range(1, 100):
f = i / 100.0
self.assertIs(complex.__eq__(f+0j, f), True)
self.assertIs(complex.__ne__(f+0j, f), False)
self.assertIs(complex.__eq__(complex(f, f), f), False)
self.assertIs(complex.__ne__(complex(f, f), f), True)
self.assertIs(complex.__lt__(1+1j, 2+2j), NotImplemented)
self.assertIs(complex.__le__(1+1j, 2+2j), NotImplemented)
self.assertIs(complex.__gt__(1+1j, 2+2j), NotImplemented)
self.assertIs(complex.__ge__(1+1j, 2+2j), NotImplemented)
self.assertRaises(TypeError, operator.lt, 1+1j, 2+2j)
self.assertRaises(TypeError, operator.le, 1+1j, 2+2j)
self.assertRaises(TypeError, operator.gt, 1+1j, 2+2j)
self.assertRaises(TypeError, operator.ge, 1+1j, 2+2j)
self.assertIs(operator.eq(1+1j, 1+1j), True)
self.assertIs(operator.eq(1+1j, 2+2j), False)
self.assertIs(operator.ne(1+1j, 1+1j), False)
self.assertIs(operator.ne(1+1j, 2+2j), True)
def test_richcompare_boundaries(self):
def check(n, deltas, is_equal, imag = 0.0):
for delta in deltas:
i = n + delta
z = complex(i, imag)
self.assertIs(complex.__eq__(z, i), is_equal(delta))
self.assertIs(complex.__ne__(z, i), not is_equal(delta))
# For IEEE-754 doubles the following should hold:
# x in [2 ** (52 + i), 2 ** (53 + i + 1)] -> x mod 2 ** i == 0
# where the interval is representable, of course.
for i in range(1, 10):
pow = 52 + i
mult = 2 ** i
check(2 ** pow, range(1, 101), lambda delta: delta % mult == 0)
check(2 ** pow, range(1, 101), lambda delta: False, float(i))
check(2 ** 53, range(-100, 0), lambda delta: True)
def test_mod(self):
# % is no longer supported on complex numbers
self.assertRaises(TypeError, (1+1j).__mod__, 0+0j)
self.assertRaises(TypeError, lambda: (3.33+4.43j) % 0)
self.assertRaises(TypeError, (1+1j).__mod__, 4.3j)
def test_divmod(self):
self.assertRaises(TypeError, divmod, 1+1j, 1+0j)
self.assertRaises(TypeError, divmod, 1+1j, 0+0j)
def test_pow(self):
self.assertAlmostEqual(pow(1+1j, 0+0j), 1.0)
self.assertAlmostEqual(pow(0+0j, 2+0j), 0.0)
self.assertRaises(ZeroDivisionError, pow, 0+0j, 1j)
self.assertAlmostEqual(pow(1j, -1), 1/1j)
self.assertAlmostEqual(pow(1j, 200), 1)
self.assertRaises(ValueError, pow, 1+1j, 1+1j, 1+1j)
a = 3.33+4.43j
self.assertEqual(a ** 0j, 1)
self.assertEqual(a ** 0.+0.j, 1)
self.assertEqual(3j ** 0j, 1)
self.assertEqual(3j ** 0, 1)
try:
0j ** a
except ZeroDivisionError:
pass
else:
self.fail("should fail 0.0 to negative or complex power")
try:
0j ** (3-2j)
except ZeroDivisionError:
pass
else:
self.fail("should fail 0.0 to negative or complex power")
# The following is used to exercise certain code paths
self.assertEqual(a ** 105, a ** 105)
self.assertEqual(a ** -105, a ** -105)
self.assertEqual(a ** -30, a ** -30)
self.assertEqual(0.0j ** 0, 1)
b = 5.1+2.3j
self.assertRaises(ValueError, pow, a, b, 0)
def test_boolcontext(self):
for i in range(100):
self.assertTrue(complex(random() + 1e-6, random() + 1e-6))
self.assertTrue(not complex(0.0, 0.0))
def test_conjugate(self):
self.assertClose(complex(5.3, 9.8).conjugate(), 5.3-9.8j)
def test_constructor(self):
class OS:
def __init__(self, value): self.value = value
def __complex__(self): return self.value
class NS(object):
def __init__(self, value): self.value = value
def __complex__(self): return self.value
self.assertEqual(complex(OS(1+10j)), 1+10j)
self.assertEqual(complex(NS(1+10j)), 1+10j)
self.assertRaises(TypeError, complex, OS(None))
self.assertRaises(TypeError, complex, NS(None))
self.assertRaises(TypeError, complex, {})
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)
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 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.)
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 = 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.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(")
# 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.assertEqual(type(complex("1"*500)), complex)
# check whitespace processing
self.assertEqual(complex('\N{EM SPACE}(\N{EN SPACE}1+1j ) '), 1+1j)
class EvilExc(Exception):
pass
class evilcomplex:
def __complex__(self):
raise EvilExc
self.assertRaises(EvilExc, complex, evilcomplex())
class float2:
def __init__(self, value):
self.value = value
def __float__(self):
return self.value
self.assertAlmostEqual(complex(float2(42.)), 42)
self.assertAlmostEqual(complex(real=float2(17.), imag=float2(23.)), 17+23j)
self.assertRaises(TypeError, complex, float2(None))
class complex0(complex):
"""Test usage of __complex__() when inheriting from 'complex'"""
def __complex__(self):
return 42j
class complex1(complex):
"""Test usage of __complex__() with a __new__() method"""
def __new__(self, value=0j):
return complex.__new__(self, 2*value)
def __complex__(self):
return self
class complex2(complex):
"""Make sure that __complex__() calls fail if anything other than a
complex is returned"""
def __complex__(self):
return None
self.assertAlmostEqual(complex(complex0(1j)), 42j)
self.assertAlmostEqual(complex(complex1(1j)), 2j)
self.assertRaises(TypeError, complex, complex2(1j))
def test_hash(self):
for x in range(-30, 30):
self.assertEqual(hash(x), hash(complex(x, 0)))
x /= 3.0 # now check against floating point
self.assertEqual(hash(x), hash(complex(x, 0.)))
def test_abs(self):
nums = [complex(x/3., y/7.) for x in range(-9,9) for y in range(-9,9)]
for num in nums:
self.assertAlmostEqual((num.real**2 + num.imag**2) ** 0.5, abs(num))
def test_repr_str(self):
def test(v, expected, test_fn=self.assertEqual):
test_fn(repr(v), expected)
test_fn(str(v), expected)
test(1+6j, '(1+6j)')
test(1-6j, '(1-6j)')
test(-(1+0j), '(-1+-0j)', test_fn=self.assertNotEqual)
test(complex(1., INF), "(1+infj)")
test(complex(1., -INF), "(1-infj)")
test(complex(INF, 1), "(inf+1j)")
test(complex(-INF, INF), "(-inf+infj)")
test(complex(NAN, 1), "(nan+1j)")
test(complex(1, NAN), "(1+nanj)")
test(complex(NAN, NAN), "(nan+nanj)")
test(complex(0, INF), "infj")
test(complex(0, -INF), "-infj")
test(complex(0, NAN), "nanj")
self.assertEqual(1-6j,complex(repr(1-6j)))
self.assertEqual(1+6j,complex(repr(1+6j)))
self.assertEqual(-6j,complex(repr(-6j)))
self.assertEqual(6j,complex(repr(6j)))
@support.requires_IEEE_754
def test_negative_zero_repr_str(self):
def test(v, expected, test_fn=self.assertEqual):
test_fn(repr(v), expected)
test_fn(str(v), expected)
test(complex(0., 1.), "1j")
test(complex(-0., 1.), "(-0+1j)")
test(complex(0., -1.), "-1j")
test(complex(-0., -1.), "(-0-1j)")
test(complex(0., 0.), "0j")
test(complex(0., -0.), "-0j")
test(complex(-0., 0.), "(-0+0j)")
test(complex(-0., -0.), "(-0-0j)")
def test_neg(self):
self.assertEqual(-(1+6j), -1-6j)
def test_file(self):
a = 3.33+4.43j
b = 5.1+2.3j
fo = None
try:
fo = open(support.TESTFN, "w")
print(a, b, file=fo)
fo.close()
fo = open(support.TESTFN, "r")
self.assertEqual(fo.read(), ("%s %s\n" % (a, b)))
finally:
if (fo is not None) and (not fo.closed):
fo.close()
support.unlink(support.TESTFN)
def test_getnewargs(self):
self.assertEqual((1+2j).__getnewargs__(), (1.0, 2.0))
self.assertEqual((1-2j).__getnewargs__(), (1.0, -2.0))
self.assertEqual((2j).__getnewargs__(), (0.0, 2.0))
self.assertEqual((-0j).__getnewargs__(), (0.0, -0.0))
self.assertEqual(complex(0, INF).__getnewargs__(), (0.0, INF))
self.assertEqual(complex(INF, 0).__getnewargs__(), (INF, 0.0))
@support.requires_IEEE_754
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.))
@support.requires_IEEE_754
def test_negated_imaginary_literal(self):
z0 = -0j
z1 = -7j
z2 = -1e1000j
# Note: In versions of Python < 3.2, a negated imaginary literal
# accidentally ended up with real part 0.0 instead of -0.0, thanks to a
# modification during CST -> AST translation (see issue #9011). That's
# fixed in Python 3.2.
self.assertFloatsAreIdentical(z0.real, -0.0)
self.assertFloatsAreIdentical(z0.imag, -0.0)
self.assertFloatsAreIdentical(z1.real, -0.0)
self.assertFloatsAreIdentical(z1.imag, -7.0)
self.assertFloatsAreIdentical(z2.real, -0.0)
self.assertFloatsAreIdentical(z2.imag, -INF)
@support.requires_IEEE_754
def test_overflow(self):
self.assertEqual(complex("1e500"), complex(INF, 0.0))
self.assertEqual(complex("-1e500j"), complex(0.0, -INF))
self.assertEqual(complex("-1e500+1.8e308j"), complex(-INF, INF))
@support.requires_IEEE_754
def test_repr_roundtrip(self):
vals = [0.0, 1e-500, 1e-315, 1e-200, 0.0123, 3.1415, 1e50, INF, NAN]
vals += [-v for v in vals]
# complex(repr(z)) should recover z exactly, even for complex
# numbers involving an infinity, nan, or negative zero
for x in vals:
for y in vals:
z = complex(x, y)
roundtrip = complex(repr(z))
self.assertFloatsAreIdentical(z.real, roundtrip.real)
self.assertFloatsAreIdentical(z.imag, roundtrip.imag)
# if we predefine some constants, then eval(repr(z)) should
# also work, except that it might change the sign of zeros
inf, nan = float('inf'), float('nan')
infj, nanj = complex(0.0, inf), complex(0.0, nan)
for x in vals:
for y in vals:
z = complex(x, y)
roundtrip = eval(repr(z))
# adding 0.0 has no effect beside changing -0.0 to 0.0
self.assertFloatsAreIdentical(0.0 + z.real,
0.0 + roundtrip.real)
self.assertFloatsAreIdentical(0.0 + z.imag,
0.0 + roundtrip.imag)
def test_format(self):
# empty format string is same as str()
self.assertEqual(format(1+3j, ''), str(1+3j))
self.assertEqual(format(1.5+3.5j, ''), str(1.5+3.5j))
self.assertEqual(format(3j, ''), str(3j))
self.assertEqual(format(3.2j, ''), str(3.2j))
self.assertEqual(format(3+0j, ''), str(3+0j))
self.assertEqual(format(3.2+0j, ''), str(3.2+0j))
# empty presentation type should still be analogous to str,
# even when format string is nonempty (issue #5920).
self.assertEqual(format(3.2+0j, '-'), str(3.2+0j))
self.assertEqual(format(3.2+0j, '<'), str(3.2+0j))
z = 4/7. - 100j/7.
self.assertEqual(format(z, ''), str(z))
self.assertEqual(format(z, '-'), str(z))
self.assertEqual(format(z, '<'), str(z))
self.assertEqual(format(z, '10'), str(z))
z = complex(0.0, 3.0)
self.assertEqual(format(z, ''), str(z))
self.assertEqual(format(z, '-'), str(z))
self.assertEqual(format(z, '<'), str(z))
self.assertEqual(format(z, '2'), str(z))
z = complex(-0.0, 2.0)
self.assertEqual(format(z, ''), str(z))
self.assertEqual(format(z, '-'), str(z))
self.assertEqual(format(z, '<'), str(z))
self.assertEqual(format(z, '3'), str(z))
self.assertEqual(format(1+3j, 'g'), '1+3j')
self.assertEqual(format(3j, 'g'), '0+3j')
self.assertEqual(format(1.5+3.5j, 'g'), '1.5+3.5j')
self.assertEqual(format(1.5+3.5j, '+g'), '+1.5+3.5j')
self.assertEqual(format(1.5-3.5j, '+g'), '+1.5-3.5j')
self.assertEqual(format(1.5-3.5j, '-g'), '1.5-3.5j')
self.assertEqual(format(1.5+3.5j, ' g'), ' 1.5+3.5j')
self.assertEqual(format(1.5-3.5j, ' g'), ' 1.5-3.5j')
self.assertEqual(format(-1.5+3.5j, ' g'), '-1.5+3.5j')
self.assertEqual(format(-1.5-3.5j, ' g'), '-1.5-3.5j')
self.assertEqual(format(-1.5-3.5e-20j, 'g'), '-1.5-3.5e-20j')
self.assertEqual(format(-1.5-3.5j, 'f'), '-1.500000-3.500000j')
self.assertEqual(format(-1.5-3.5j, 'F'), '-1.500000-3.500000j')
self.assertEqual(format(-1.5-3.5j, 'e'), '-1.500000e+00-3.500000e+00j')
self.assertEqual(format(-1.5-3.5j, '.2e'), '-1.50e+00-3.50e+00j')
self.assertEqual(format(-1.5-3.5j, '.2E'), '-1.50E+00-3.50E+00j')
self.assertEqual(format(-1.5e10-3.5e5j, '.2G'), '-1.5E+10-3.5E+05j')
self.assertEqual(format(1.5+3j, '<20g'), '1.5+3j ')
self.assertEqual(format(1.5+3j, '*<20g'), '1.5+3j**************')
self.assertEqual(format(1.5+3j, '>20g'), ' 1.5+3j')
self.assertEqual(format(1.5+3j, '^20g'), ' 1.5+3j ')
self.assertEqual(format(1.5+3j, '<20'), '(1.5+3j) ')
self.assertEqual(format(1.5+3j, '>20'), ' (1.5+3j)')
self.assertEqual(format(1.5+3j, '^20'), ' (1.5+3j) ')
self.assertEqual(format(1.123-3.123j, '^20.2'), ' (1.1-3.1j) ')
self.assertEqual(format(1.5+3j, '20.2f'), ' 1.50+3.00j')
self.assertEqual(format(1.5+3j, '>20.2f'), ' 1.50+3.00j')
self.assertEqual(format(1.5+3j, '<20.2f'), '1.50+3.00j ')
self.assertEqual(format(1.5e20+3j, '<20.2f'), '150000000000000000000.00+3.00j')
self.assertEqual(format(1.5e20+3j, '>40.2f'), ' 150000000000000000000.00+3.00j')
self.assertEqual(format(1.5e20+3j, '^40,.2f'), ' 150,000,000,000,000,000,000.00+3.00j ')
self.assertEqual(format(1.5e21+3j, '^40,.2f'), ' 1,500,000,000,000,000,000,000.00+3.00j ')
self.assertEqual(format(1.5e21+3000j, ',.2f'), '1,500,000,000,000,000,000,000.00+3,000.00j')
# Issue 7094: Alternate formatting (specified by #)
self.assertEqual(format(1+1j, '.0e'), '1e+00+1e+00j')
self.assertEqual(format(1+1j, '#.0e'), '1.e+00+1.e+00j')
self.assertEqual(format(1+1j, '.0f'), '1+1j')
self.assertEqual(format(1+1j, '#.0f'), '1.+1.j')
self.assertEqual(format(1.1+1.1j, 'g'), '1.1+1.1j')
self.assertEqual(format(1.1+1.1j, '#g'), '1.10000+1.10000j')
# Alternate doesn't make a difference for these, they format the same with or without it
self.assertEqual(format(1+1j, '.1e'), '1.0e+00+1.0e+00j')
self.assertEqual(format(1+1j, '#.1e'), '1.0e+00+1.0e+00j')
self.assertEqual(format(1+1j, '.1f'), '1.0+1.0j')
self.assertEqual(format(1+1j, '#.1f'), '1.0+1.0j')
# Misc. other alternate tests
self.assertEqual(format((-1.5+0.5j), '#f'), '-1.500000+0.500000j')
self.assertEqual(format((-1.5+0.5j), '#.0f'), '-2.+0.j')
self.assertEqual(format((-1.5+0.5j), '#e'), '-1.500000e+00+5.000000e-01j')
self.assertEqual(format((-1.5+0.5j), '#.0e'), '-2.e+00+5.e-01j')
self.assertEqual(format((-1.5+0.5j), '#g'), '-1.50000+0.500000j')
self.assertEqual(format((-1.5+0.5j), '.0g'), '-2+0.5j')
self.assertEqual(format((-1.5+0.5j), '#.0g'), '-2.+0.5j')
# zero padding is invalid
self.assertRaises(ValueError, (1.5+0.5j).__format__, '010f')
# '=' alignment is invalid
self.assertRaises(ValueError, (1.5+3j).__format__, '=20')
# integer presentation types are an error
for t in 'bcdoxX':
self.assertRaises(ValueError, (1.5+0.5j).__format__, t)
# make sure everything works in ''.format()
self.assertEqual('*{0:.3f}*'.format(3.14159+2.71828j), '*3.142+2.718j*')
# issue 3382
self.assertEqual(format(complex(NAN, NAN), 'f'), 'nan+nanj')
self.assertEqual(format(complex(1, NAN), 'f'), '1.000000+nanj')
self.assertEqual(format(complex(NAN, 1), 'f'), 'nan+1.000000j')
self.assertEqual(format(complex(NAN, -1), 'f'), 'nan-1.000000j')
self.assertEqual(format(complex(NAN, NAN), 'F'), 'NAN+NANj')
self.assertEqual(format(complex(1, NAN), 'F'), '1.000000+NANj')
self.assertEqual(format(complex(NAN, 1), 'F'), 'NAN+1.000000j')
self.assertEqual(format(complex(NAN, -1), 'F'), 'NAN-1.000000j')
self.assertEqual(format(complex(INF, INF), 'f'), 'inf+infj')
self.assertEqual(format(complex(1, INF), 'f'), '1.000000+infj')
self.assertEqual(format(complex(INF, 1), 'f'), 'inf+1.000000j')
self.assertEqual(format(complex(INF, -1), 'f'), 'inf-1.000000j')
self.assertEqual(format(complex(INF, INF), 'F'), 'INF+INFj')
self.assertEqual(format(complex(1, INF), 'F'), '1.000000+INFj')
self.assertEqual(format(complex(INF, 1), 'F'), 'INF+1.000000j')
self.assertEqual(format(complex(INF, -1), 'F'), 'INF-1.000000j')
def test_main():
support.run_unittest(ComplexTest)
if __name__ == "__main__":
test_main()
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