mirror of https://github.com/python/cpython
778 lines
31 KiB
Python
778 lines
31 KiB
Python
import unittest
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from test import test_support
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import sys
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import random
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# Used for lazy formatting of failure messages
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class Frm(object):
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def __init__(self, format, *args):
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self.format = format
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self.args = args
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def __str__(self):
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return self.format % self.args
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# SHIFT should match the value in longintrepr.h for best testing.
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SHIFT = 15
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BASE = 2 ** SHIFT
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MASK = BASE - 1
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KARATSUBA_CUTOFF = 70 # from longobject.c
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# Max number of base BASE digits to use in test cases. Doubling
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# this will more than double the runtime.
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MAXDIGITS = 15
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# build some special values
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special = [0, 1, 2, BASE, BASE >> 1, 0x5555555555555555, 0xaaaaaaaaaaaaaaaa]
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# some solid strings of one bits
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p2 = 4 # 0 and 1 already added
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for i in range(2*SHIFT):
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special.append(p2 - 1)
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p2 = p2 << 1
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del p2
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# add complements & negations
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special += [~x for x in special] + [-x for x in special]
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L = [
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('0', 0),
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('1', 1),
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('9', 9),
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('10', 10),
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('99', 99),
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('100', 100),
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('314', 314),
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(' 314', 314),
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('314 ', 314),
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(' \t\t 314 \t\t ', 314),
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(repr(sys.maxsize), sys.maxsize),
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(' 1x', ValueError),
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(' 1 ', 1),
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(' 1\02 ', ValueError),
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('', ValueError),
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(' ', ValueError),
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(' \t\t ', ValueError)
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]
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class LongTest(unittest.TestCase):
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# Get quasi-random long consisting of ndigits digits (in base BASE).
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# quasi == the most-significant digit will not be 0, and the number
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# is constructed to contain long strings of 0 and 1 bits. These are
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# more likely than random bits to provoke digit-boundary errors.
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# The sign of the number is also random.
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def getran(self, ndigits):
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self.assert_(ndigits > 0)
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nbits_hi = ndigits * SHIFT
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nbits_lo = nbits_hi - SHIFT + 1
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answer = 0
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nbits = 0
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r = int(random.random() * (SHIFT * 2)) | 1 # force 1 bits to start
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while nbits < nbits_lo:
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bits = (r >> 1) + 1
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bits = min(bits, nbits_hi - nbits)
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self.assert_(1 <= bits <= SHIFT)
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nbits = nbits + bits
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answer = answer << bits
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if r & 1:
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answer = answer | ((1 << bits) - 1)
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r = int(random.random() * (SHIFT * 2))
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self.assert_(nbits_lo <= nbits <= nbits_hi)
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if random.random() < 0.5:
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answer = -answer
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return answer
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# Get random long consisting of ndigits random digits (relative to base
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# BASE). The sign bit is also random.
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def getran2(ndigits):
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answer = 0
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for i in range(ndigits):
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answer = (answer << SHIFT) | random.randint(0, MASK)
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if random.random() < 0.5:
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answer = -answer
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return answer
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def check_division(self, x, y):
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eq = self.assertEqual
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q, r = divmod(x, y)
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q2, r2 = x//y, x%y
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pab, pba = x*y, y*x
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eq(pab, pba, Frm("multiplication does not commute for %r and %r", x, y))
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eq(q, q2, Frm("divmod returns different quotient than / for %r and %r", x, y))
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eq(r, r2, Frm("divmod returns different mod than %% for %r and %r", x, y))
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eq(x, q*y + r, Frm("x != q*y + r after divmod on x=%r, y=%r", x, y))
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if y > 0:
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self.assert_(0 <= r < y, Frm("bad mod from divmod on %r and %r", x, y))
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else:
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self.assert_(y < r <= 0, Frm("bad mod from divmod on %r and %r", x, y))
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def test_division(self):
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digits = list(range(1, MAXDIGITS+1)) + list(range(KARATSUBA_CUTOFF,
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KARATSUBA_CUTOFF + 14))
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digits.append(KARATSUBA_CUTOFF * 3)
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for lenx in digits:
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x = self.getran(lenx)
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for leny in digits:
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y = self.getran(leny) or 1
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self.check_division(x, y)
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def test_karatsuba(self):
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digits = list(range(1, 5)) + list(range(KARATSUBA_CUTOFF,
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KARATSUBA_CUTOFF + 10))
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digits.extend([KARATSUBA_CUTOFF * 10, KARATSUBA_CUTOFF * 100])
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bits = [digit * SHIFT for digit in digits]
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# Test products of long strings of 1 bits -- (2**x-1)*(2**y-1) ==
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# 2**(x+y) - 2**x - 2**y + 1, so the proper result is easy to check.
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for abits in bits:
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a = (1 << abits) - 1
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for bbits in bits:
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if bbits < abits:
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continue
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b = (1 << bbits) - 1
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x = a * b
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y = ((1 << (abits + bbits)) -
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(1 << abits) -
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(1 << bbits) +
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1)
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self.assertEqual(x, y,
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Frm("bad result for a*b: a=%r, b=%r, x=%r, y=%r", a, b, x, y))
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def check_bitop_identities_1(self, x):
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eq = self.assertEqual
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eq(x & 0, 0, Frm("x & 0 != 0 for x=%r", x))
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eq(x | 0, x, Frm("x | 0 != x for x=%r", x))
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eq(x ^ 0, x, Frm("x ^ 0 != x for x=%r", x))
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eq(x & -1, x, Frm("x & -1 != x for x=%r", x))
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eq(x | -1, -1, Frm("x | -1 != -1 for x=%r", x))
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eq(x ^ -1, ~x, Frm("x ^ -1 != ~x for x=%r", x))
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eq(x, ~~x, Frm("x != ~~x for x=%r", x))
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eq(x & x, x, Frm("x & x != x for x=%r", x))
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eq(x | x, x, Frm("x | x != x for x=%r", x))
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eq(x ^ x, 0, Frm("x ^ x != 0 for x=%r", x))
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eq(x & ~x, 0, Frm("x & ~x != 0 for x=%r", x))
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eq(x | ~x, -1, Frm("x | ~x != -1 for x=%r", x))
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eq(x ^ ~x, -1, Frm("x ^ ~x != -1 for x=%r", x))
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eq(-x, 1 + ~x, Frm("not -x == 1 + ~x for x=%r", x))
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eq(-x, ~(x-1), Frm("not -x == ~(x-1) forx =%r", x))
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for n in range(2*SHIFT):
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p2 = 2 ** n
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eq(x << n >> n, x,
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Frm("x << n >> n != x for x=%r, n=%r", (x, n)))
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eq(x // p2, x >> n,
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Frm("x // p2 != x >> n for x=%r n=%r p2=%r", (x, n, p2)))
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eq(x * p2, x << n,
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Frm("x * p2 != x << n for x=%r n=%r p2=%r", (x, n, p2)))
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eq(x & -p2, x >> n << n,
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Frm("not x & -p2 == x >> n << n for x=%r n=%r p2=%r", (x, n, p2)))
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eq(x & -p2, x & ~(p2 - 1),
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Frm("not x & -p2 == x & ~(p2 - 1) for x=%r n=%r p2=%r", (x, n, p2)))
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def check_bitop_identities_2(self, x, y):
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eq = self.assertEqual
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eq(x & y, y & x, Frm("x & y != y & x for x=%r, y=%r", (x, y)))
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eq(x | y, y | x, Frm("x | y != y | x for x=%r, y=%r", (x, y)))
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eq(x ^ y, y ^ x, Frm("x ^ y != y ^ x for x=%r, y=%r", (x, y)))
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eq(x ^ y ^ x, y, Frm("x ^ y ^ x != y for x=%r, y=%r", (x, y)))
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eq(x & y, ~(~x | ~y), Frm("x & y != ~(~x | ~y) for x=%r, y=%r", (x, y)))
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eq(x | y, ~(~x & ~y), Frm("x | y != ~(~x & ~y) for x=%r, y=%r", (x, y)))
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eq(x ^ y, (x | y) & ~(x & y),
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Frm("x ^ y != (x | y) & ~(x & y) for x=%r, y=%r", (x, y)))
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eq(x ^ y, (x & ~y) | (~x & y),
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Frm("x ^ y == (x & ~y) | (~x & y) for x=%r, y=%r", (x, y)))
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eq(x ^ y, (x | y) & (~x | ~y),
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Frm("x ^ y == (x | y) & (~x | ~y) for x=%r, y=%r", (x, y)))
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def check_bitop_identities_3(self, x, y, z):
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eq = self.assertEqual
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eq((x & y) & z, x & (y & z),
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Frm("(x & y) & z != x & (y & z) for x=%r, y=%r, z=%r", (x, y, z)))
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eq((x | y) | z, x | (y | z),
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Frm("(x | y) | z != x | (y | z) for x=%r, y=%r, z=%r", (x, y, z)))
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eq((x ^ y) ^ z, x ^ (y ^ z),
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Frm("(x ^ y) ^ z != x ^ (y ^ z) for x=%r, y=%r, z=%r", (x, y, z)))
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eq(x & (y | z), (x & y) | (x & z),
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Frm("x & (y | z) != (x & y) | (x & z) for x=%r, y=%r, z=%r", (x, y, z)))
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eq(x | (y & z), (x | y) & (x | z),
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Frm("x | (y & z) != (x | y) & (x | z) for x=%r, y=%r, z=%r", (x, y, z)))
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def test_bitop_identities(self):
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for x in special:
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self.check_bitop_identities_1(x)
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digits = range(1, MAXDIGITS+1)
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for lenx in digits:
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x = self.getran(lenx)
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self.check_bitop_identities_1(x)
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for leny in digits:
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y = self.getran(leny)
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self.check_bitop_identities_2(x, y)
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self.check_bitop_identities_3(x, y, self.getran((lenx + leny)//2))
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def slow_format(self, x, base):
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digits = []
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sign = 0
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if x < 0:
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sign, x = 1, -x
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while x:
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x, r = divmod(x, base)
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digits.append(int(r))
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digits.reverse()
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digits = digits or [0]
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return '-'[:sign] + \
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{2: '0b', 8: '0o', 10: '', 16: '0x'}[base] + \
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"".join(map(lambda i: "0123456789abcdef"[i], digits))
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def check_format_1(self, x):
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for base, mapper in (8, oct), (10, repr), (16, hex):
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got = mapper(x)
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expected = self.slow_format(x, base)
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msg = Frm("%s returned %r but expected %r for %r",
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mapper.__name__, got, expected, x)
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self.assertEqual(got, expected, msg)
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self.assertEqual(int(got, 0), x, Frm('long("%s", 0) != %r', got, x))
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# str() has to be checked a little differently since there's no
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# trailing "L"
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got = str(x)
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expected = self.slow_format(x, 10)
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msg = Frm("%s returned %r but expected %r for %r",
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mapper.__name__, got, expected, x)
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self.assertEqual(got, expected, msg)
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def test_format(self):
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for x in special:
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self.check_format_1(x)
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for i in range(10):
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for lenx in range(1, MAXDIGITS+1):
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x = self.getran(lenx)
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self.check_format_1(x)
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def test_long(self):
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self.assertEqual(int(314), 314)
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self.assertEqual(int(3.14), 3)
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self.assertEqual(int(314), 314)
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# Check that conversion from float truncates towards zero
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self.assertEqual(int(-3.14), -3)
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self.assertEqual(int(3.9), 3)
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self.assertEqual(int(-3.9), -3)
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self.assertEqual(int(3.5), 3)
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self.assertEqual(int(-3.5), -3)
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self.assertEqual(int("-3"), -3)
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# Different base:
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self.assertEqual(int("10",16), 16)
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# Check conversions from string (same test set as for int(), and then some)
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LL = [
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('1' + '0'*20, 10**20),
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('1' + '0'*100, 10**100)
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]
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L2 = L[:]
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for s, v in L2 + LL:
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for sign in "", "+", "-":
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for prefix in "", " ", "\t", " \t\t ":
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ss = prefix + sign + s
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vv = v
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if sign == "-" and v is not ValueError:
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vv = -v
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try:
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self.assertEqual(int(ss), int(vv))
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except ValueError:
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pass
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self.assertRaises(ValueError, int, '123\0')
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self.assertRaises(ValueError, int, '53', 40)
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self.assertRaises(TypeError, int, 1, 12)
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# SF patch #1638879: embedded NULs were not detected with
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# explicit base
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self.assertRaises(ValueError, int, '123\0', 10)
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self.assertRaises(ValueError, int, '123\x00 245', 20)
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self.assertEqual(int('100000000000000000000000000000000', 2),
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4294967296)
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self.assertEqual(int('102002022201221111211', 3), 4294967296)
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self.assertEqual(int('10000000000000000', 4), 4294967296)
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self.assertEqual(int('32244002423141', 5), 4294967296)
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self.assertEqual(int('1550104015504', 6), 4294967296)
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self.assertEqual(int('211301422354', 7), 4294967296)
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self.assertEqual(int('40000000000', 8), 4294967296)
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self.assertEqual(int('12068657454', 9), 4294967296)
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self.assertEqual(int('4294967296', 10), 4294967296)
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self.assertEqual(int('1904440554', 11), 4294967296)
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self.assertEqual(int('9ba461594', 12), 4294967296)
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self.assertEqual(int('535a79889', 13), 4294967296)
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self.assertEqual(int('2ca5b7464', 14), 4294967296)
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self.assertEqual(int('1a20dcd81', 15), 4294967296)
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self.assertEqual(int('100000000', 16), 4294967296)
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self.assertEqual(int('a7ffda91', 17), 4294967296)
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self.assertEqual(int('704he7g4', 18), 4294967296)
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self.assertEqual(int('4f5aff66', 19), 4294967296)
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self.assertEqual(int('3723ai4g', 20), 4294967296)
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self.assertEqual(int('281d55i4', 21), 4294967296)
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self.assertEqual(int('1fj8b184', 22), 4294967296)
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self.assertEqual(int('1606k7ic', 23), 4294967296)
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self.assertEqual(int('mb994ag', 24), 4294967296)
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self.assertEqual(int('hek2mgl', 25), 4294967296)
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self.assertEqual(int('dnchbnm', 26), 4294967296)
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self.assertEqual(int('b28jpdm', 27), 4294967296)
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self.assertEqual(int('8pfgih4', 28), 4294967296)
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self.assertEqual(int('76beigg', 29), 4294967296)
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self.assertEqual(int('5qmcpqg', 30), 4294967296)
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self.assertEqual(int('4q0jto4', 31), 4294967296)
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self.assertEqual(int('4000000', 32), 4294967296)
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self.assertEqual(int('3aokq94', 33), 4294967296)
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self.assertEqual(int('2qhxjli', 34), 4294967296)
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self.assertEqual(int('2br45qb', 35), 4294967296)
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self.assertEqual(int('1z141z4', 36), 4294967296)
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self.assertEqual(int('100000000000000000000000000000001', 2),
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4294967297)
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self.assertEqual(int('102002022201221111212', 3), 4294967297)
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self.assertEqual(int('10000000000000001', 4), 4294967297)
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self.assertEqual(int('32244002423142', 5), 4294967297)
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self.assertEqual(int('1550104015505', 6), 4294967297)
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self.assertEqual(int('211301422355', 7), 4294967297)
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self.assertEqual(int('40000000001', 8), 4294967297)
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self.assertEqual(int('12068657455', 9), 4294967297)
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self.assertEqual(int('4294967297', 10), 4294967297)
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self.assertEqual(int('1904440555', 11), 4294967297)
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self.assertEqual(int('9ba461595', 12), 4294967297)
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self.assertEqual(int('535a7988a', 13), 4294967297)
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self.assertEqual(int('2ca5b7465', 14), 4294967297)
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self.assertEqual(int('1a20dcd82', 15), 4294967297)
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self.assertEqual(int('100000001', 16), 4294967297)
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self.assertEqual(int('a7ffda92', 17), 4294967297)
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self.assertEqual(int('704he7g5', 18), 4294967297)
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self.assertEqual(int('4f5aff67', 19), 4294967297)
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self.assertEqual(int('3723ai4h', 20), 4294967297)
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self.assertEqual(int('281d55i5', 21), 4294967297)
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self.assertEqual(int('1fj8b185', 22), 4294967297)
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self.assertEqual(int('1606k7id', 23), 4294967297)
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self.assertEqual(int('mb994ah', 24), 4294967297)
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self.assertEqual(int('hek2mgm', 25), 4294967297)
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self.assertEqual(int('dnchbnn', 26), 4294967297)
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self.assertEqual(int('b28jpdn', 27), 4294967297)
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self.assertEqual(int('8pfgih5', 28), 4294967297)
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self.assertEqual(int('76beigh', 29), 4294967297)
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self.assertEqual(int('5qmcpqh', 30), 4294967297)
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self.assertEqual(int('4q0jto5', 31), 4294967297)
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self.assertEqual(int('4000001', 32), 4294967297)
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self.assertEqual(int('3aokq95', 33), 4294967297)
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self.assertEqual(int('2qhxjlj', 34), 4294967297)
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self.assertEqual(int('2br45qc', 35), 4294967297)
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self.assertEqual(int('1z141z5', 36), 4294967297)
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def test_conversion(self):
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# Test __long__()
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class ClassicMissingMethods:
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pass
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self.assertRaises(TypeError, int, ClassicMissingMethods())
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class MissingMethods(object):
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pass
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self.assertRaises(TypeError, int, MissingMethods())
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class Foo0:
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def __int__(self):
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return 42
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class Foo1(object):
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def __int__(self):
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return 42
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class Foo2(int):
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def __int__(self):
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return 42
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class Foo3(int):
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def __int__(self):
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return self
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class Foo4(int):
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def __int__(self):
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return 42
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class Foo5(int):
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def __int__(self):
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return 42.
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self.assertEqual(int(Foo0()), 42)
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self.assertEqual(int(Foo1()), 42)
|
|
self.assertEqual(int(Foo2()), 42)
|
|
self.assertEqual(int(Foo3()), 0)
|
|
self.assertEqual(int(Foo4()), 42)
|
|
self.assertRaises(TypeError, int, Foo5())
|
|
|
|
class Classic:
|
|
pass
|
|
for base in (object, Classic):
|
|
class LongOverridesTrunc(base):
|
|
def __long__(self):
|
|
return 42
|
|
def __trunc__(self):
|
|
return -12
|
|
self.assertEqual(int(LongOverridesTrunc()), 42)
|
|
|
|
class JustTrunc(base):
|
|
def __trunc__(self):
|
|
return 42
|
|
self.assertEqual(int(JustTrunc()), 42)
|
|
|
|
for trunc_result_base in (object, Classic):
|
|
class Integral(trunc_result_base):
|
|
def __int__(self):
|
|
return 42
|
|
|
|
class TruncReturnsNonLong(base):
|
|
def __trunc__(self):
|
|
return Integral()
|
|
self.assertEqual(int(TruncReturnsNonLong()), 42)
|
|
|
|
class NonIntegral(trunc_result_base):
|
|
def __trunc__(self):
|
|
# Check that we avoid infinite recursion.
|
|
return NonIntegral()
|
|
|
|
class TruncReturnsNonIntegral(base):
|
|
def __trunc__(self):
|
|
return NonIntegral()
|
|
try:
|
|
int(TruncReturnsNonIntegral())
|
|
except TypeError as e:
|
|
self.assertEquals(str(e),
|
|
"__trunc__ returned non-Integral"
|
|
" (type NonIntegral)")
|
|
else:
|
|
self.fail("Failed to raise TypeError with %s" %
|
|
((base, trunc_result_base),))
|
|
|
|
def test_misc(self):
|
|
|
|
# check the extremes in int<->long conversion
|
|
hugepos = sys.maxsize
|
|
hugeneg = -hugepos - 1
|
|
hugepos_aslong = int(hugepos)
|
|
hugeneg_aslong = int(hugeneg)
|
|
self.assertEqual(hugepos, hugepos_aslong, "long(sys.maxsize) != sys.maxsize")
|
|
self.assertEqual(hugeneg, hugeneg_aslong,
|
|
"long(-sys.maxsize-1) != -sys.maxsize-1")
|
|
|
|
# long -> int should not fail for hugepos_aslong or hugeneg_aslong
|
|
x = int(hugepos_aslong)
|
|
try:
|
|
self.assertEqual(x, hugepos,
|
|
"converting sys.maxsize to long and back to int fails")
|
|
except OverflowError:
|
|
self.fail("int(long(sys.maxsize)) overflowed!")
|
|
if not isinstance(x, int):
|
|
raise TestFailed("int(long(sys.maxsize)) should have returned int")
|
|
x = int(hugeneg_aslong)
|
|
try:
|
|
self.assertEqual(x, hugeneg,
|
|
"converting -sys.maxsize-1 to long and back to int fails")
|
|
except OverflowError:
|
|
self.fail("int(long(-sys.maxsize-1)) overflowed!")
|
|
if not isinstance(x, int):
|
|
raise TestFailed("int(long(-sys.maxsize-1)) should have "
|
|
"returned int")
|
|
# but long -> int should overflow for hugepos+1 and hugeneg-1
|
|
x = hugepos_aslong + 1
|
|
try:
|
|
y = int(x)
|
|
except OverflowError:
|
|
self.fail("int(long(sys.maxsize) + 1) mustn't overflow")
|
|
self.assert_(isinstance(y, int),
|
|
"int(long(sys.maxsize) + 1) should have returned long")
|
|
|
|
x = hugeneg_aslong - 1
|
|
try:
|
|
y = int(x)
|
|
except OverflowError:
|
|
self.fail("int(long(-sys.maxsize-1) - 1) mustn't overflow")
|
|
self.assert_(isinstance(y, int),
|
|
"int(long(-sys.maxsize-1) - 1) should have returned long")
|
|
|
|
class long2(int):
|
|
pass
|
|
x = long2(1<<100)
|
|
y = int(x)
|
|
self.assert_(type(y) is int,
|
|
"overflowing int conversion must return long not long subtype")
|
|
|
|
# ----------------------------------- tests of auto int->long conversion
|
|
|
|
def test_auto_overflow(self):
|
|
import math, sys
|
|
|
|
special = [0, 1, 2, 3, sys.maxsize-1, sys.maxsize, sys.maxsize+1]
|
|
sqrt = int(math.sqrt(sys.maxsize))
|
|
special.extend([sqrt-1, sqrt, sqrt+1])
|
|
special.extend([-i for i in special])
|
|
|
|
def checkit(*args):
|
|
# Heavy use of nested scopes here!
|
|
self.assertEqual(got, expected,
|
|
Frm("for %r expected %r got %r", args, expected, got))
|
|
|
|
for x in special:
|
|
longx = int(x)
|
|
|
|
expected = -longx
|
|
got = -x
|
|
checkit('-', x)
|
|
|
|
for y in special:
|
|
longy = int(y)
|
|
|
|
expected = longx + longy
|
|
got = x + y
|
|
checkit(x, '+', y)
|
|
|
|
expected = longx - longy
|
|
got = x - y
|
|
checkit(x, '-', y)
|
|
|
|
expected = longx * longy
|
|
got = x * y
|
|
checkit(x, '*', y)
|
|
|
|
if y:
|
|
expected = longx / longy
|
|
got = x / y
|
|
checkit(x, '/', y)
|
|
|
|
expected = longx // longy
|
|
got = x // y
|
|
checkit(x, '//', y)
|
|
|
|
expected = divmod(longx, longy)
|
|
got = divmod(longx, longy)
|
|
checkit(x, 'divmod', y)
|
|
|
|
if abs(y) < 5 and not (x == 0 and y < 0):
|
|
expected = longx ** longy
|
|
got = x ** y
|
|
checkit(x, '**', y)
|
|
|
|
for z in special:
|
|
if z != 0 :
|
|
if y >= 0:
|
|
expected = pow(longx, longy, int(z))
|
|
got = pow(x, y, z)
|
|
checkit('pow', x, y, '%', z)
|
|
else:
|
|
self.assertRaises(TypeError, pow,longx, longy, int(z))
|
|
|
|
def test_float_overflow(self):
|
|
import math
|
|
|
|
for x in -2.0, -1.0, 0.0, 1.0, 2.0:
|
|
self.assertEqual(float(int(x)), x)
|
|
|
|
shuge = '12345' * 120
|
|
huge = 1 << 30000
|
|
mhuge = -huge
|
|
namespace = {'huge': huge, 'mhuge': mhuge, 'shuge': shuge, 'math': math}
|
|
for test in ["float(huge)", "float(mhuge)",
|
|
"complex(huge)", "complex(mhuge)",
|
|
"complex(huge, 1)", "complex(mhuge, 1)",
|
|
"complex(1, huge)", "complex(1, mhuge)",
|
|
"1. + huge", "huge + 1.", "1. + mhuge", "mhuge + 1.",
|
|
"1. - huge", "huge - 1.", "1. - mhuge", "mhuge - 1.",
|
|
"1. * huge", "huge * 1.", "1. * mhuge", "mhuge * 1.",
|
|
"1. // huge", "huge // 1.", "1. // mhuge", "mhuge // 1.",
|
|
"1. / huge", "huge / 1.", "1. / mhuge", "mhuge / 1.",
|
|
"1. ** huge", "huge ** 1.", "1. ** mhuge", "mhuge ** 1.",
|
|
"math.sin(huge)", "math.sin(mhuge)",
|
|
"math.sqrt(huge)", "math.sqrt(mhuge)", # should do better
|
|
# math.floor() of an int returns an int now
|
|
##"math.floor(huge)", "math.floor(mhuge)",
|
|
]:
|
|
|
|
self.assertRaises(OverflowError, eval, test, namespace)
|
|
|
|
# XXX Perhaps float(shuge) can raise OverflowError on some box?
|
|
# The comparison should not.
|
|
self.assertNotEqual(float(shuge), int(shuge),
|
|
"float(shuge) should not equal int(shuge)")
|
|
|
|
def test_logs(self):
|
|
import math
|
|
|
|
LOG10E = math.log10(math.e)
|
|
|
|
for exp in list(range(10)) + [100, 1000, 10000]:
|
|
value = 10 ** exp
|
|
log10 = math.log10(value)
|
|
self.assertAlmostEqual(log10, exp)
|
|
|
|
# log10(value) == exp, so log(value) == log10(value)/log10(e) ==
|
|
# exp/LOG10E
|
|
expected = exp / LOG10E
|
|
log = math.log(value)
|
|
self.assertAlmostEqual(log, expected)
|
|
|
|
for bad in -(1 << 10000), -2, 0:
|
|
self.assertRaises(ValueError, math.log, bad)
|
|
self.assertRaises(ValueError, math.log10, bad)
|
|
|
|
def test_mixed_compares(self):
|
|
eq = self.assertEqual
|
|
import math
|
|
|
|
# We're mostly concerned with that mixing floats and longs does the
|
|
# right stuff, even when longs are too large to fit in a float.
|
|
# The safest way to check the results is to use an entirely different
|
|
# method, which we do here via a skeletal rational class (which
|
|
# represents all Python ints, longs and floats exactly).
|
|
class Rat:
|
|
def __init__(self, value):
|
|
if isinstance(value, int):
|
|
self.n = value
|
|
self.d = 1
|
|
elif isinstance(value, float):
|
|
# Convert to exact rational equivalent.
|
|
f, e = math.frexp(abs(value))
|
|
assert f == 0 or 0.5 <= f < 1.0
|
|
# |value| = f * 2**e exactly
|
|
|
|
# Suck up CHUNK bits at a time; 28 is enough so that we suck
|
|
# up all bits in 2 iterations for all known binary double-
|
|
# precision formats, and small enough to fit in an int.
|
|
CHUNK = 28
|
|
top = 0
|
|
# invariant: |value| = (top + f) * 2**e exactly
|
|
while f:
|
|
f = math.ldexp(f, CHUNK)
|
|
digit = int(f)
|
|
assert digit >> CHUNK == 0
|
|
top = (top << CHUNK) | digit
|
|
f -= digit
|
|
assert 0.0 <= f < 1.0
|
|
e -= CHUNK
|
|
|
|
# Now |value| = top * 2**e exactly.
|
|
if e >= 0:
|
|
n = top << e
|
|
d = 1
|
|
else:
|
|
n = top
|
|
d = 1 << -e
|
|
if value < 0:
|
|
n = -n
|
|
self.n = n
|
|
self.d = d
|
|
assert float(n) / float(d) == value
|
|
else:
|
|
raise TypeError("can't deal with %r" % val)
|
|
|
|
def __cmp__(self, other):
|
|
if not isinstance(other, Rat):
|
|
other = Rat(other)
|
|
return cmp(self.n * other.d, self.d * other.n)
|
|
|
|
cases = [0, 0.001, 0.99, 1.0, 1.5, 1e20, 1e200]
|
|
# 2**48 is an important boundary in the internals. 2**53 is an
|
|
# important boundary for IEEE double precision.
|
|
for t in 2.0**48, 2.0**50, 2.0**53:
|
|
cases.extend([t - 1.0, t - 0.3, t, t + 0.3, t + 1.0,
|
|
int(t-1), int(t), int(t+1)])
|
|
cases.extend([0, 1, 2, sys.maxsize, float(sys.maxsize)])
|
|
# 1L<<20000 should exceed all double formats. long(1e200) is to
|
|
# check that we get equality with 1e200 above.
|
|
t = int(1e200)
|
|
cases.extend([0, 1, 2, 1 << 20000, t-1, t, t+1])
|
|
cases.extend([-x for x in cases])
|
|
for x in cases:
|
|
Rx = Rat(x)
|
|
for y in cases:
|
|
Ry = Rat(y)
|
|
Rcmp = cmp(Rx, Ry)
|
|
xycmp = cmp(x, y)
|
|
eq(Rcmp, xycmp, Frm("%r %r %d %d", x, y, Rcmp, xycmp))
|
|
eq(x == y, Rcmp == 0, Frm("%r == %r %d", x, y, Rcmp))
|
|
eq(x != y, Rcmp != 0, Frm("%r != %r %d", x, y, Rcmp))
|
|
eq(x < y, Rcmp < 0, Frm("%r < %r %d", x, y, Rcmp))
|
|
eq(x <= y, Rcmp <= 0, Frm("%r <= %r %d", x, y, Rcmp))
|
|
eq(x > y, Rcmp > 0, Frm("%r > %r %d", x, y, Rcmp))
|
|
eq(x >= y, Rcmp >= 0, Frm("%r >= %r %d", x, y, Rcmp))
|
|
|
|
def test__format__(self):
|
|
self.assertEqual(format(123456789, 'd'), '123456789')
|
|
self.assertEqual(format(123456789, 'd'), '123456789')
|
|
|
|
# sign and aligning are interdependent
|
|
self.assertEqual(format(1, "-"), '1')
|
|
self.assertEqual(format(-1, "-"), '-1')
|
|
self.assertEqual(format(1, "-3"), ' 1')
|
|
self.assertEqual(format(-1, "-3"), ' -1')
|
|
self.assertEqual(format(1, "+3"), ' +1')
|
|
self.assertEqual(format(-1, "+3"), ' -1')
|
|
self.assertEqual(format(1, " 3"), ' 1')
|
|
self.assertEqual(format(-1, " 3"), ' -1')
|
|
self.assertEqual(format(1, " "), ' 1')
|
|
self.assertEqual(format(-1, " "), '-1')
|
|
|
|
# hex
|
|
self.assertEqual(format(3, "x"), "3")
|
|
self.assertEqual(format(3, "X"), "3")
|
|
self.assertEqual(format(1234, "x"), "4d2")
|
|
self.assertEqual(format(-1234, "x"), "-4d2")
|
|
self.assertEqual(format(1234, "8x"), " 4d2")
|
|
self.assertEqual(format(-1234, "8x"), " -4d2")
|
|
self.assertEqual(format(1234, "x"), "4d2")
|
|
self.assertEqual(format(-1234, "x"), "-4d2")
|
|
self.assertEqual(format(-3, "x"), "-3")
|
|
self.assertEqual(format(-3, "X"), "-3")
|
|
self.assertEqual(format(int('be', 16), "x"), "be")
|
|
self.assertEqual(format(int('be', 16), "X"), "BE")
|
|
self.assertEqual(format(-int('be', 16), "x"), "-be")
|
|
self.assertEqual(format(-int('be', 16), "X"), "-BE")
|
|
|
|
# octal
|
|
self.assertEqual(format(3, "b"), "11")
|
|
self.assertEqual(format(-3, "b"), "-11")
|
|
self.assertEqual(format(1234, "b"), "10011010010")
|
|
self.assertEqual(format(-1234, "b"), "-10011010010")
|
|
self.assertEqual(format(1234, "-b"), "10011010010")
|
|
self.assertEqual(format(-1234, "-b"), "-10011010010")
|
|
self.assertEqual(format(1234, " b"), " 10011010010")
|
|
self.assertEqual(format(-1234, " b"), "-10011010010")
|
|
self.assertEqual(format(1234, "+b"), "+10011010010")
|
|
self.assertEqual(format(-1234, "+b"), "-10011010010")
|
|
|
|
# make sure these are errors
|
|
self.assertRaises(ValueError, format, 3, "1.3") # precision disallowed
|
|
self.assertRaises(ValueError, format, 3, "+c") # sign not allowed
|
|
# with 'c'
|
|
|
|
# ensure that only int and float type specifiers work
|
|
for format_spec in ([chr(x) for x in range(ord('a'), ord('z')+1)] +
|
|
[chr(x) for x in range(ord('A'), ord('Z')+1)]):
|
|
if not format_spec in 'bcdoxXeEfFgGn%':
|
|
self.assertRaises(ValueError, format, 0, format_spec)
|
|
self.assertRaises(ValueError, format, 1, format_spec)
|
|
self.assertRaises(ValueError, format, -1, format_spec)
|
|
self.assertRaises(ValueError, format, 2**100, format_spec)
|
|
self.assertRaises(ValueError, format, -(2**100), format_spec)
|
|
|
|
# ensure that float type specifiers work; format converts
|
|
# the int to a float
|
|
for format_spec in 'eEfFgG%':
|
|
for value in [0, 1, -1, 100, -100, 1234567890, -1234567890]:
|
|
self.assertEqual(format(value, format_spec),
|
|
format(float(value), format_spec))
|
|
|
|
def test_nan_inf(self):
|
|
self.assertRaises(OverflowError, int, float('inf'))
|
|
self.assertRaises(OverflowError, int, float('nan'))
|
|
|
|
def test_main():
|
|
test_support.run_unittest(LongTest)
|
|
|
|
if __name__ == "__main__":
|
|
test_main()
|