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-rw-r--r--Modules/_decimal/tests/randfloat.py250
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diff --git a/Modules/_decimal/tests/randfloat.py b/Modules/_decimal/tests/randfloat.py
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-# Copyright (c) 2010 Python Software Foundation. All Rights Reserved.
-# Adapted from Python's Lib/test/test_strtod.py (by Mark Dickinson)
-
-# More test cases for deccheck.py.
-
-import random
-
-TEST_SIZE = 2
-
-
-def test_short_halfway_cases():
- # exact halfway cases with a small number of significant digits
- for k in 0, 5, 10, 15, 20:
- # upper = smallest integer >= 2**54/5**k
- upper = -(-2**54//5**k)
- # lower = smallest odd number >= 2**53/5**k
- lower = -(-2**53//5**k)
- if lower % 2 == 0:
- lower += 1
- for i in range(10 * TEST_SIZE):
- # Select a random odd n in [2**53/5**k,
- # 2**54/5**k). Then n * 10**k gives a halfway case
- # with small number of significant digits.
- n, e = random.randrange(lower, upper, 2), k
-
- # Remove any additional powers of 5.
- while n % 5 == 0:
- n, e = n // 5, e + 1
- assert n % 10 in (1, 3, 7, 9)
-
- # Try numbers of the form n * 2**p2 * 10**e, p2 >= 0,
- # until n * 2**p2 has more than 20 significant digits.
- digits, exponent = n, e
- while digits < 10**20:
- s = '{}e{}'.format(digits, exponent)
- yield s
- # Same again, but with extra trailing zeros.
- s = '{}e{}'.format(digits * 10**40, exponent - 40)
- yield s
- digits *= 2
-
- # Try numbers of the form n * 5**p2 * 10**(e - p5), p5
- # >= 0, with n * 5**p5 < 10**20.
- digits, exponent = n, e
- while digits < 10**20:
- s = '{}e{}'.format(digits, exponent)
- yield s
- # Same again, but with extra trailing zeros.
- s = '{}e{}'.format(digits * 10**40, exponent - 40)
- yield s
- digits *= 5
- exponent -= 1
-
-def test_halfway_cases():
- # test halfway cases for the round-half-to-even rule
- for i in range(1000):
- for j in range(TEST_SIZE):
- # bit pattern for a random finite positive (or +0.0) float
- bits = random.randrange(2047*2**52)
-
- # convert bit pattern to a number of the form m * 2**e
- e, m = divmod(bits, 2**52)
- if e:
- m, e = m + 2**52, e - 1
- e -= 1074
-
- # add 0.5 ulps
- m, e = 2*m + 1, e - 1
-
- # convert to a decimal string
- if e >= 0:
- digits = m << e
- exponent = 0
- else:
- # m * 2**e = (m * 5**-e) * 10**e
- digits = m * 5**-e
- exponent = e
- s = '{}e{}'.format(digits, exponent)
- yield s
-
-def test_boundaries():
- # boundaries expressed as triples (n, e, u), where
- # n*10**e is an approximation to the boundary value and
- # u*10**e is 1ulp
- boundaries = [
- (10000000000000000000, -19, 1110), # a power of 2 boundary (1.0)
- (17976931348623159077, 289, 1995), # overflow boundary (2.**1024)
- (22250738585072013831, -327, 4941), # normal/subnormal (2.**-1022)
- (0, -327, 4941), # zero
- ]
- for n, e, u in boundaries:
- for j in range(1000):
- for i in range(TEST_SIZE):
- digits = n + random.randrange(-3*u, 3*u)
- exponent = e
- s = '{}e{}'.format(digits, exponent)
- yield s
- n *= 10
- u *= 10
- e -= 1
-
-def test_underflow_boundary():
- # test values close to 2**-1075, the underflow boundary; similar
- # to boundary_tests, except that the random error doesn't scale
- # with n
- for exponent in range(-400, -320):
- base = 10**-exponent // 2**1075
- for j in range(TEST_SIZE):
- digits = base + random.randrange(-1000, 1000)
- s = '{}e{}'.format(digits, exponent)
- yield s
-
-def test_bigcomp():
- for ndigs in 5, 10, 14, 15, 16, 17, 18, 19, 20, 40, 41, 50:
- dig10 = 10**ndigs
- for i in range(100 * TEST_SIZE):
- digits = random.randrange(dig10)
- exponent = random.randrange(-400, 400)
- s = '{}e{}'.format(digits, exponent)
- yield s
-
-def test_parsing():
- # make '0' more likely to be chosen than other digits
- digits = '000000123456789'
- signs = ('+', '-', '')
-
- # put together random short valid strings
- # \d*[.\d*]?e
- for i in range(1000):
- for j in range(TEST_SIZE):
- s = random.choice(signs)
- intpart_len = random.randrange(5)
- s += ''.join(random.choice(digits) for _ in range(intpart_len))
- if random.choice([True, False]):
- s += '.'
- fracpart_len = random.randrange(5)
- s += ''.join(random.choice(digits)
- for _ in range(fracpart_len))
- else:
- fracpart_len = 0
- if random.choice([True, False]):
- s += random.choice(['e', 'E'])
- s += random.choice(signs)
- exponent_len = random.randrange(1, 4)
- s += ''.join(random.choice(digits)
- for _ in range(exponent_len))
-
- if intpart_len + fracpart_len:
- yield s
-
-test_particular = [
- # squares
- '1.00000000100000000025',
- '1.0000000000000000000000000100000000000000000000000' #...
- '00025',
- '1.0000000000000000000000000000000000000000000010000' #...
- '0000000000000000000000000000000000000000025',
- '1.0000000000000000000000000000000000000000000000000' #...
- '000001000000000000000000000000000000000000000000000' #...
- '000000000025',
- '0.99999999900000000025',
- '0.9999999999999999999999999999999999999999999999999' #...
- '999000000000000000000000000000000000000000000000000' #...
- '000025',
- '0.9999999999999999999999999999999999999999999999999' #...
- '999999999999999999999999999999999999999999999999999' #...
- '999999999999999999999999999999999999999990000000000' #...
- '000000000000000000000000000000000000000000000000000' #...
- '000000000000000000000000000000000000000000000000000' #...
- '0000000000000000000000000000025',
-
- '1.0000000000000000000000000000000000000000000000000' #...
- '000000000000000000000000000000000000000000000000000' #...
- '100000000000000000000000000000000000000000000000000' #...
- '000000000000000000000000000000000000000000000000001',
- '1.0000000000000000000000000000000000000000000000000' #...
- '000000000000000000000000000000000000000000000000000' #...
- '500000000000000000000000000000000000000000000000000' #...
- '000000000000000000000000000000000000000000000000005',
- '1.0000000000000000000000000000000000000000000000000' #...
- '000000000100000000000000000000000000000000000000000' #...
- '000000000000000000250000000000000002000000000000000' #...
- '000000000000000000000000000000000000000000010000000' #...
- '000000000000000000000000000000000000000000000000000' #...
- '0000000000000000001',
- '1.0000000000000000000000000000000000000000000000000' #...
- '000000000100000000000000000000000000000000000000000' #...
- '000000000000000000249999999999999999999999999999999' #...
- '999999999999979999999999999999999999999999999999999' #...
- '999999999999999999999900000000000000000000000000000' #...
- '000000000000000000000000000000000000000000000000000' #...
- '00000000000000000000000001',
-
- '0.9999999999999999999999999999999999999999999999999' #...
- '999999999900000000000000000000000000000000000000000' #...
- '000000000000000000249999999999999998000000000000000' #...
- '000000000000000000000000000000000000000000010000000' #...
- '000000000000000000000000000000000000000000000000000' #...
- '0000000000000000001',
- '0.9999999999999999999999999999999999999999999999999' #...
- '999999999900000000000000000000000000000000000000000' #...
- '000000000000000000250000001999999999999999999999999' #...
- '999999999999999999999999999999999990000000000000000' #...
- '000000000000000000000000000000000000000000000000000' #...
- '1',
-
- # tough cases for ln etc.
- '1.000000000000000000000000000000000000000000000000' #...
- '00000000000000000000000000000000000000000000000000' #...
- '00100000000000000000000000000000000000000000000000' #...
- '00000000000000000000000000000000000000000000000000' #...
- '0001',
- '0.999999999999999999999999999999999999999999999999' #...
- '99999999999999999999999999999999999999999999999999' #...
- '99899999999999999999999999999999999999999999999999' #...
- '99999999999999999999999999999999999999999999999999' #...
- '99999999999999999999999999999999999999999999999999' #...
- '9999'
- ]
-
-
-TESTCASES = [
- [x for x in test_short_halfway_cases()],
- [x for x in test_halfway_cases()],
- [x for x in test_boundaries()],
- [x for x in test_underflow_boundary()],
- [x for x in test_bigcomp()],
- [x for x in test_parsing()],
- test_particular
-]
-
-def un_randfloat():
- for i in range(1000):
- l = random.choice(TESTCASES[:6])
- yield random.choice(l)
- for v in test_particular:
- yield v
-
-def bin_randfloat():
- for i in range(1000):
- l1 = random.choice(TESTCASES)
- l2 = random.choice(TESTCASES)
- yield random.choice(l1), random.choice(l2)
-
-def tern_randfloat():
- for i in range(1000):
- l1 = random.choice(TESTCASES)
- l2 = random.choice(TESTCASES)
- l3 = random.choice(TESTCASES)
- yield random.choice(l1), random.choice(l2), random.choice(l3)