Remove math.sum tests related to overflow, special values, and behaviour

near the extremes of the floating-point range.  (The behaviour of math.sum
should be regarded as undefined in these cases.)
This commit is contained in:
Mark Dickinson 2008-07-27 07:15:29 +00:00
parent fe84cce668
commit 3e9c60c5fe
1 changed files with 10 additions and 65 deletions

View File

@ -702,86 +702,31 @@ class MathTests(unittest.TestCase):
break break
return total return total
from sys import float_info
maxfloat = float_info.max
twopow = 2.**(float_info.max_exp - 1)
test_values = [ test_values = [
([], 0.0), ([], 0.0),
([0.0], 0.0), ([0.0], 0.0),
([1e100, 1.0, -1e100, 1e-100, 1e50, -1.0, -1e50], 1e-100), ([1e100, 1.0, -1e100, 1e-100, 1e50, -1.0, -1e50], 1e-100),
([1e308, 1e308, -1e308], OverflowError),
([-1e308, 1e308, 1e308], 1e308),
([1e308, -1e308, 1e308], 1e308),
([2.0**1023, 2.0**1023, -2.0**1000], OverflowError),
([twopow, twopow, twopow, twopow, -twopow, -twopow, -twopow],
OverflowError),
([2.0**53, -0.5, -2.0**-54], 2.0**53-1.0), ([2.0**53, -0.5, -2.0**-54], 2.0**53-1.0),
([2.0**53, 1.0, 2.0**-100], 2.0**53+2.0), ([2.0**53, 1.0, 2.0**-100], 2.0**53+2.0),
([2.0**53+10.0, 1.0, 2.0**-100], 2.0**53+12.0), ([2.0**53+10.0, 1.0, 2.0**-100], 2.0**53+12.0),
([2.0**53-4.0, 0.5, 2.0**-54], 2.0**53-3.0), ([2.0**53-4.0, 0.5, 2.0**-54], 2.0**53-3.0),
([2.0**1023-2.0**970, -1.0, 2.0**1023], OverflowError),
([maxfloat, maxfloat*2.**-54], maxfloat),
([maxfloat, maxfloat*2.**-53], OverflowError),
([1./n for n in range(1, 1001)], 7.4854708605503451), ([1./n for n in range(1, 1001)], 7.4854708605503451),
([(-1.)**n/n for n in range(1, 1001)], -0.69264743055982025), ([(-1.)**n/n for n in range(1, 1001)], -0.69264743055982025),
([1.7**(i+1)-1.7**i for i in range(1000)] + [-1.7**1000], -1.0), ([1.7**(i+1)-1.7**i for i in range(1000)] + [-1.7**1000], -1.0),
([INF, -INF, NAN], ValueError),
([NAN, INF, -INF], ValueError),
([INF, NAN, INF], ValueError),
([INF, INF], OverflowError),
([INF, -INF], ValueError),
([-INF, 1e308, 1e308, -INF], OverflowError),
([2.0**1023-2.0**970, 0.0, 2.0**1023], OverflowError),
([2.0**1023-2.0**970, 1.0, 2.0**1023], OverflowError),
([2.0**1023, 2.0**1023], OverflowError),
([2.0**1023, 2.0**1023, -1.0], OverflowError),
([twopow, twopow, twopow, twopow, -twopow, -twopow],
OverflowError),
([twopow, twopow, twopow, twopow, -twopow, twopow], OverflowError),
([-twopow, -twopow, -twopow, -twopow], OverflowError),
([2.**1023, 2.**1023, -2.**971], OverflowError),
([2.**1023, 2.**1023, -2.**970], OverflowError),
([-2.**970, 2.**1023, 2.**1023, -2.**-1074], OverflowError),
([ 2.**1023, 2.**1023, -2.**970, 2.**-1074], OverflowError),
([-2.**1023, 2.**971, -2.**1023], -maxfloat),
([-2.**1023, -2.**1023, 2.**970], OverflowError),
([-2.**1023, -2.**1023, 2.**970, 2.**-1074], OverflowError),
([-2.**-1074, -2.**1023, -2.**1023, 2.**970], OverflowError),
([2.**930, -2.**980, 2.**1023, 2.**1023, twopow, -twopow],
OverflowError),
([2.**1023, 2.**1023, -1e307], OverflowError),
([1e16, 1., 1e-16], 10000000000000002.0), ([1e16, 1., 1e-16], 10000000000000002.0),
([1e16-2., 1.-2.**-53, -(1e16-2.), -(1.-2.**-53)], 0.0), ([1e16-2., 1.-2.**-53, -(1e16-2.), -(1.-2.**-53)], 0.0),
] ]
for i, (vals, s) in enumerate(test_values): for i, (vals, expected) in enumerate(test_values):
if isinstance(s, type) and issubclass(s, Exception):
try: try:
m = math.sum(vals) actual = math.sum(vals)
except s:
pass
else:
self.fail("test %d failed: got %r, expected %r "
"for math.sum(%.100r)" %
(i, m, s.__name__, vals))
else:
try:
self.assertEqual(math.sum(vals), s)
except OverflowError: except OverflowError:
self.fail("test %d failed: got OverflowError, expected %r " self.fail("test %d failed: got OverflowError, expected %r "
"for math.sum(%.100r)" % (i, s, vals)) "for math.sum(%.100r)" % (i, expected, vals))
except ValueError: except ValueError:
self.fail("test %d failed: got ValueError, expected %r " self.fail("test %d failed: got ValueError, expected %r "
"for math.sum(%.100r)" % (i, s, vals)) "for math.sum(%.100r)" % (i, expected, vals))
self.assertEqual(actual, expected)
# compare with output of msum above, but only when
# result isn't an IEEE special or an exception
if not math.isinf(s) and not math.isnan(s):
self.assertEqual(msum(vals), s)
from random import random, gauss, shuffle from random import random, gauss, shuffle
for j in xrange(1000): for j in xrange(1000):