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-rw-r--r--lib/python2.7/test/test_long.py916
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diff --git a/lib/python2.7/test/test_long.py b/lib/python2.7/test/test_long.py
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+++ b/lib/python2.7/test/test_long.py
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+import unittest
+import sys
+
+import random
+import math
+
+from test import test_int, test_support
+
+# Used for lazy formatting of failure messages
+class Frm(object):
+ def __init__(self, format, *args):
+ self.format = format
+ self.args = args
+
+ def __str__(self):
+ return self.format % self.args
+
+# SHIFT should match the value in longintrepr.h for best testing.
+SHIFT = sys.long_info.bits_per_digit
+BASE = 2 ** SHIFT
+MASK = BASE - 1
+KARATSUBA_CUTOFF = 70 # from longobject.c
+
+# Max number of base BASE digits to use in test cases. Doubling
+# this will more than double the runtime.
+MAXDIGITS = 15
+
+# build some special values
+special = map(long, [0, 1, 2, BASE, BASE >> 1])
+special.append(0x5555555555555555L)
+special.append(0xaaaaaaaaaaaaaaaaL)
+# some solid strings of one bits
+p2 = 4L # 0 and 1 already added
+for i in range(2*SHIFT):
+ special.append(p2 - 1)
+ p2 = p2 << 1
+del p2
+# add complements & negations
+special = special + map(lambda x: ~x, special) + \
+ map(lambda x: -x, special)
+
+L = [
+ ('0', 0),
+ ('1', 1),
+ ('9', 9),
+ ('10', 10),
+ ('99', 99),
+ ('100', 100),
+ ('314', 314),
+ (' 314', 314),
+ ('314 ', 314),
+ (' \t\t 314 \t\t ', 314),
+ (repr(sys.maxint), sys.maxint),
+ (' 1x', ValueError),
+ (' 1 ', 1),
+ (' 1\02 ', ValueError),
+ ('', ValueError),
+ (' ', ValueError),
+ (' \t\t ', ValueError)
+]
+if test_support.have_unicode:
+ L += [
+ (unicode('0'), 0),
+ (unicode('1'), 1),
+ (unicode('9'), 9),
+ (unicode('10'), 10),
+ (unicode('99'), 99),
+ (unicode('100'), 100),
+ (unicode('314'), 314),
+ (unicode(' 314'), 314),
+ (unicode('\u0663\u0661\u0664 ','raw-unicode-escape'), 314),
+ (unicode(' \t\t 314 \t\t '), 314),
+ (unicode(' 1x'), ValueError),
+ (unicode(' 1 '), 1),
+ (unicode(' 1\02 '), ValueError),
+ (unicode(''), ValueError),
+ (unicode(' '), ValueError),
+ (unicode(' \t\t '), ValueError),
+ (unichr(0x200), ValueError),
+]
+
+class LongTest(test_int.IntLongCommonTests, unittest.TestCase):
+
+ ntype = long
+
+ # Get quasi-random long consisting of ndigits digits (in base BASE).
+ # quasi == the most-significant digit will not be 0, and the number
+ # is constructed to contain long strings of 0 and 1 bits. These are
+ # more likely than random bits to provoke digit-boundary errors.
+ # The sign of the number is also random.
+
+ def getran(self, ndigits):
+ self.assertTrue(ndigits > 0)
+ nbits_hi = ndigits * SHIFT
+ nbits_lo = nbits_hi - SHIFT + 1
+ answer = 0L
+ nbits = 0
+ r = int(random.random() * (SHIFT * 2)) | 1 # force 1 bits to start
+ while nbits < nbits_lo:
+ bits = (r >> 1) + 1
+ bits = min(bits, nbits_hi - nbits)
+ self.assertTrue(1 <= bits <= SHIFT)
+ nbits = nbits + bits
+ answer = answer << bits
+ if r & 1:
+ answer = answer | ((1 << bits) - 1)
+ r = int(random.random() * (SHIFT * 2))
+ self.assertTrue(nbits_lo <= nbits <= nbits_hi)
+ if random.random() < 0.5:
+ answer = -answer
+ return answer
+
+ # Get random long consisting of ndigits random digits (relative to base
+ # BASE). The sign bit is also random.
+
+ def getran2(ndigits):
+ answer = 0L
+ for i in xrange(ndigits):
+ answer = (answer << SHIFT) | random.randint(0, MASK)
+ if random.random() < 0.5:
+ answer = -answer
+ return answer
+
+ def check_division(self, x, y):
+ eq = self.assertEqual
+ q, r = divmod(x, y)
+ q2, r2 = x//y, x%y
+ pab, pba = x*y, y*x
+ eq(pab, pba, Frm("multiplication does not commute for %r and %r", x, y))
+ eq(q, q2, Frm("divmod returns different quotient than / for %r and %r", x, y))
+ eq(r, r2, Frm("divmod returns different mod than %% for %r and %r", x, y))
+ eq(x, q*y + r, Frm("x != q*y + r after divmod on x=%r, y=%r", x, y))
+ if y > 0:
+ self.assertTrue(0 <= r < y, Frm("bad mod from divmod on %r and %r", x, y))
+ else:
+ self.assertTrue(y < r <= 0, Frm("bad mod from divmod on %r and %r", x, y))
+
+ def test_division(self):
+ digits = range(1, MAXDIGITS+1) + range(KARATSUBA_CUTOFF,
+ KARATSUBA_CUTOFF + 14)
+ digits.append(KARATSUBA_CUTOFF * 3)
+ for lenx in digits:
+ x = self.getran(lenx)
+ for leny in digits:
+ y = self.getran(leny) or 1L
+ self.check_division(x, y)
+
+ # specific numbers chosen to exercise corner cases of the
+ # current long division implementation
+
+ # 30-bit cases involving a quotient digit estimate of BASE+1
+ self.check_division(1231948412290879395966702881L,
+ 1147341367131428698L)
+ self.check_division(815427756481275430342312021515587883L,
+ 707270836069027745L)
+ self.check_division(627976073697012820849443363563599041L,
+ 643588798496057020L)
+ self.check_division(1115141373653752303710932756325578065L,
+ 1038556335171453937726882627L)
+ # 30-bit cases that require the post-subtraction correction step
+ self.check_division(922498905405436751940989320930368494L,
+ 949985870686786135626943396L)
+ self.check_division(768235853328091167204009652174031844L,
+ 1091555541180371554426545266L)
+
+ # 15-bit cases involving a quotient digit estimate of BASE+1
+ self.check_division(20172188947443L, 615611397L)
+ self.check_division(1020908530270155025L, 950795710L)
+ self.check_division(128589565723112408L, 736393718L)
+ self.check_division(609919780285761575L, 18613274546784L)
+ # 15-bit cases that require the post-subtraction correction step
+ self.check_division(710031681576388032L, 26769404391308L)
+ self.check_division(1933622614268221L, 30212853348836L)
+
+
+
+ def test_karatsuba(self):
+ digits = range(1, 5) + range(KARATSUBA_CUTOFF, KARATSUBA_CUTOFF + 10)
+ digits.extend([KARATSUBA_CUTOFF * 10, KARATSUBA_CUTOFF * 100])
+
+ bits = [digit * SHIFT for digit in digits]
+
+ # Test products of long strings of 1 bits -- (2**x-1)*(2**y-1) ==
+ # 2**(x+y) - 2**x - 2**y + 1, so the proper result is easy to check.
+ for abits in bits:
+ a = (1L << abits) - 1
+ for bbits in bits:
+ if bbits < abits:
+ continue
+ b = (1L << bbits) - 1
+ x = a * b
+ y = ((1L << (abits + bbits)) -
+ (1L << abits) -
+ (1L << bbits) +
+ 1)
+ self.assertEqual(x, y,
+ Frm("bad result for a*b: a=%r, b=%r, x=%r, y=%r", a, b, x, y))
+
+ def check_bitop_identities_1(self, x):
+ eq = self.assertEqual
+ eq(x & 0, 0, Frm("x & 0 != 0 for x=%r", x))
+ eq(x | 0, x, Frm("x | 0 != x for x=%r", x))
+ eq(x ^ 0, x, Frm("x ^ 0 != x for x=%r", x))
+ eq(x & -1, x, Frm("x & -1 != x for x=%r", x))
+ eq(x | -1, -1, Frm("x | -1 != -1 for x=%r", x))
+ eq(x ^ -1, ~x, Frm("x ^ -1 != ~x for x=%r", x))
+ eq(x, ~~x, Frm("x != ~~x for x=%r", x))
+ eq(x & x, x, Frm("x & x != x for x=%r", x))
+ eq(x | x, x, Frm("x | x != x for x=%r", x))
+ eq(x ^ x, 0, Frm("x ^ x != 0 for x=%r", x))
+ eq(x & ~x, 0, Frm("x & ~x != 0 for x=%r", x))
+ eq(x | ~x, -1, Frm("x | ~x != -1 for x=%r", x))
+ eq(x ^ ~x, -1, Frm("x ^ ~x != -1 for x=%r", x))
+ eq(-x, 1 + ~x, Frm("not -x == 1 + ~x for x=%r", x))
+ eq(-x, ~(x-1), Frm("not -x == ~(x-1) forx =%r", x))
+ for n in xrange(2*SHIFT):
+ p2 = 2L ** n
+ eq(x << n >> n, x,
+ Frm("x << n >> n != x for x=%r, n=%r", (x, n)))
+ eq(x // p2, x >> n,
+ Frm("x // p2 != x >> n for x=%r n=%r p2=%r", (x, n, p2)))
+ eq(x * p2, x << n,
+ Frm("x * p2 != x << n for x=%r n=%r p2=%r", (x, n, p2)))
+ eq(x & -p2, x >> n << n,
+ Frm("not x & -p2 == x >> n << n for x=%r n=%r p2=%r", (x, n, p2)))
+ eq(x & -p2, x & ~(p2 - 1),
+ Frm("not x & -p2 == x & ~(p2 - 1) for x=%r n=%r p2=%r", (x, n, p2)))
+
+ def check_bitop_identities_2(self, x, y):
+ eq = self.assertEqual
+ eq(x & y, y & x, Frm("x & y != y & x for x=%r, y=%r", (x, y)))
+ eq(x | y, y | x, Frm("x | y != y | x for x=%r, y=%r", (x, y)))
+ eq(x ^ y, y ^ x, Frm("x ^ y != y ^ x for x=%r, y=%r", (x, y)))
+ eq(x ^ y ^ x, y, Frm("x ^ y ^ x != y for x=%r, y=%r", (x, y)))
+ eq(x & y, ~(~x | ~y), Frm("x & y != ~(~x | ~y) for x=%r, y=%r", (x, y)))
+ eq(x | y, ~(~x & ~y), Frm("x | y != ~(~x & ~y) for x=%r, y=%r", (x, y)))
+ eq(x ^ y, (x | y) & ~(x & y),
+ Frm("x ^ y != (x | y) & ~(x & y) for x=%r, y=%r", (x, y)))
+ eq(x ^ y, (x & ~y) | (~x & y),
+ Frm("x ^ y == (x & ~y) | (~x & y) for x=%r, y=%r", (x, y)))
+ eq(x ^ y, (x | y) & (~x | ~y),
+ Frm("x ^ y == (x | y) & (~x | ~y) for x=%r, y=%r", (x, y)))
+
+ def check_bitop_identities_3(self, x, y, z):
+ eq = self.assertEqual
+ eq((x & y) & z, x & (y & z),
+ Frm("(x & y) & z != x & (y & z) for x=%r, y=%r, z=%r", (x, y, z)))
+ eq((x | y) | z, x | (y | z),
+ Frm("(x | y) | z != x | (y | z) for x=%r, y=%r, z=%r", (x, y, z)))
+ eq((x ^ y) ^ z, x ^ (y ^ z),
+ Frm("(x ^ y) ^ z != x ^ (y ^ z) for x=%r, y=%r, z=%r", (x, y, z)))
+ eq(x & (y | z), (x & y) | (x & z),
+ Frm("x & (y | z) != (x & y) | (x & z) for x=%r, y=%r, z=%r", (x, y, z)))
+ eq(x | (y & z), (x | y) & (x | z),
+ Frm("x | (y & z) != (x | y) & (x | z) for x=%r, y=%r, z=%r", (x, y, z)))
+
+ def test_bitop_identities(self):
+ for x in special:
+ self.check_bitop_identities_1(x)
+ digits = xrange(1, MAXDIGITS+1)
+ for lenx in digits:
+ x = self.getran(lenx)
+ self.check_bitop_identities_1(x)
+ for leny in digits:
+ y = self.getran(leny)
+ self.check_bitop_identities_2(x, y)
+ self.check_bitop_identities_3(x, y, self.getran((lenx + leny)//2))
+
+ def slow_format(self, x, base):
+ if (x, base) == (0, 8):
+ # this is an oddball!
+ return "0L"
+ digits = []
+ sign = 0
+ if x < 0:
+ sign, x = 1, -x
+ while x:
+ x, r = divmod(x, base)
+ digits.append(int(r))
+ digits.reverse()
+ digits = digits or [0]
+ return '-'[:sign] + \
+ {8: '0', 10: '', 16: '0x'}[base] + \
+ "".join(map(lambda i: "0123456789abcdef"[i], digits)) + "L"
+
+ def check_format_1(self, x):
+ for base, mapper in (8, oct), (10, repr), (16, hex):
+ got = mapper(x)
+ expected = self.slow_format(x, base)
+ msg = Frm("%s returned %r but expected %r for %r",
+ mapper.__name__, got, expected, x)
+ self.assertEqual(got, expected, msg)
+ self.assertEqual(long(got, 0), x, Frm('long("%s", 0) != %r', got, x))
+ # str() has to be checked a little differently since there's no
+ # trailing "L"
+ got = str(x)
+ expected = self.slow_format(x, 10)[:-1]
+ msg = Frm("%s returned %r but expected %r for %r",
+ mapper.__name__, got, expected, x)
+ self.assertEqual(got, expected, msg)
+
+ def test_format(self):
+ for x in special:
+ self.check_format_1(x)
+ for i in xrange(10):
+ for lenx in xrange(1, MAXDIGITS+1):
+ x = self.getran(lenx)
+ self.check_format_1(x)
+
+ def test_long(self):
+ self.assertEqual(long(314), 314L)
+ self.assertEqual(long(3.14), 3L)
+ self.assertEqual(long(314L), 314L)
+ # Check that long() of basic types actually returns a long
+ self.assertEqual(type(long(314)), long)
+ self.assertEqual(type(long(3.14)), long)
+ self.assertEqual(type(long(314L)), long)
+ # Check that conversion from float truncates towards zero
+ self.assertEqual(long(-3.14), -3L)
+ self.assertEqual(long(3.9), 3L)
+ self.assertEqual(long(-3.9), -3L)
+ self.assertEqual(long(3.5), 3L)
+ self.assertEqual(long(-3.5), -3L)
+ self.assertEqual(long("-3"), -3L)
+ self.assertEqual(long("0b10", 2), 2L)
+ self.assertEqual(long("0o10", 8), 8L)
+ self.assertEqual(long("0x10", 16), 16L)
+ if test_support.have_unicode:
+ self.assertEqual(long(unicode("-3")), -3L)
+ # Different base:
+ self.assertEqual(long("10",16), 16L)
+ if test_support.have_unicode:
+ self.assertEqual(long(unicode("10"),16), 16L)
+ # Check conversions from string (same test set as for int(), and then some)
+ LL = [
+ ('1' + '0'*20, 10L**20),
+ ('1' + '0'*100, 10L**100)
+ ]
+ L2 = L[:]
+ if test_support.have_unicode:
+ L2 += [
+ (unicode('1') + unicode('0')*20, 10L**20),
+ (unicode('1') + unicode('0')*100, 10L**100),
+ ]
+ for s, v in L2 + LL:
+ for sign in "", "+", "-":
+ for prefix in "", " ", "\t", " \t\t ":
+ ss = prefix + sign + s
+ vv = v
+ if sign == "-" and v is not ValueError:
+ vv = -v
+ try:
+ self.assertEqual(long(ss), long(vv))
+ except v:
+ pass
+
+ self.assertRaises(ValueError, long, '123\0')
+ self.assertRaises(ValueError, long, '53', 40)
+ self.assertRaises(TypeError, long, 1, 12)
+
+ # tests with base 0
+ self.assertEqual(long(' 0123 ', 0), 83)
+ self.assertEqual(long(' 0123 ', 0), 83)
+ self.assertEqual(long('000', 0), 0)
+ self.assertEqual(long('0o123', 0), 83)
+ self.assertEqual(long('0x123', 0), 291)
+ self.assertEqual(long('0b100', 0), 4)
+ self.assertEqual(long(' 0O123 ', 0), 83)
+ self.assertEqual(long(' 0X123 ', 0), 291)
+ self.assertEqual(long(' 0B100 ', 0), 4)
+ self.assertEqual(long('0', 0), 0)
+ self.assertEqual(long('+0', 0), 0)
+ self.assertEqual(long('-0', 0), 0)
+ self.assertEqual(long('00', 0), 0)
+ self.assertRaises(ValueError, long, '08', 0)
+ self.assertRaises(ValueError, long, '-012395', 0)
+
+ # SF patch #1638879: embedded NULs were not detected with
+ # explicit base
+ self.assertRaises(ValueError, long, '123\0', 10)
+ self.assertRaises(ValueError, long, '123\x00 245', 20)
+
+ self.assertEqual(long('100000000000000000000000000000000', 2),
+ 4294967296)
+ self.assertEqual(long('102002022201221111211', 3), 4294967296)
+ self.assertEqual(long('10000000000000000', 4), 4294967296)
+ self.assertEqual(long('32244002423141', 5), 4294967296)
+ self.assertEqual(long('1550104015504', 6), 4294967296)
+ self.assertEqual(long('211301422354', 7), 4294967296)
+ self.assertEqual(long('40000000000', 8), 4294967296)
+ self.assertEqual(long('12068657454', 9), 4294967296)
+ self.assertEqual(long('4294967296', 10), 4294967296)
+ self.assertEqual(long('1904440554', 11), 4294967296)
+ self.assertEqual(long('9ba461594', 12), 4294967296)
+ self.assertEqual(long('535a79889', 13), 4294967296)
+ self.assertEqual(long('2ca5b7464', 14), 4294967296)
+ self.assertEqual(long('1a20dcd81', 15), 4294967296)
+ self.assertEqual(long('100000000', 16), 4294967296)
+ self.assertEqual(long('a7ffda91', 17), 4294967296)
+ self.assertEqual(long('704he7g4', 18), 4294967296)
+ self.assertEqual(long('4f5aff66', 19), 4294967296)
+ self.assertEqual(long('3723ai4g', 20), 4294967296)
+ self.assertEqual(long('281d55i4', 21), 4294967296)
+ self.assertEqual(long('1fj8b184', 22), 4294967296)
+ self.assertEqual(long('1606k7ic', 23), 4294967296)
+ self.assertEqual(long('mb994ag', 24), 4294967296)
+ self.assertEqual(long('hek2mgl', 25), 4294967296)
+ self.assertEqual(long('dnchbnm', 26), 4294967296)
+ self.assertEqual(long('b28jpdm', 27), 4294967296)
+ self.assertEqual(long('8pfgih4', 28), 4294967296)
+ self.assertEqual(long('76beigg', 29), 4294967296)
+ self.assertEqual(long('5qmcpqg', 30), 4294967296)
+ self.assertEqual(long('4q0jto4', 31), 4294967296)
+ self.assertEqual(long('4000000', 32), 4294967296)
+ self.assertEqual(long('3aokq94', 33), 4294967296)
+ self.assertEqual(long('2qhxjli', 34), 4294967296)
+ self.assertEqual(long('2br45qb', 35), 4294967296)
+ self.assertEqual(long('1z141z4', 36), 4294967296)
+
+ self.assertEqual(long('100000000000000000000000000000001', 2),
+ 4294967297)
+ self.assertEqual(long('102002022201221111212', 3), 4294967297)
+ self.assertEqual(long('10000000000000001', 4), 4294967297)
+ self.assertEqual(long('32244002423142', 5), 4294967297)
+ self.assertEqual(long('1550104015505', 6), 4294967297)
+ self.assertEqual(long('211301422355', 7), 4294967297)
+ self.assertEqual(long('40000000001', 8), 4294967297)
+ self.assertEqual(long('12068657455', 9), 4294967297)
+ self.assertEqual(long('4294967297', 10), 4294967297)
+ self.assertEqual(long('1904440555', 11), 4294967297)
+ self.assertEqual(long('9ba461595', 12), 4294967297)
+ self.assertEqual(long('535a7988a', 13), 4294967297)
+ self.assertEqual(long('2ca5b7465', 14), 4294967297)
+ self.assertEqual(long('1a20dcd82', 15), 4294967297)
+ self.assertEqual(long('100000001', 16), 4294967297)
+ self.assertEqual(long('a7ffda92', 17), 4294967297)
+ self.assertEqual(long('704he7g5', 18), 4294967297)
+ self.assertEqual(long('4f5aff67', 19), 4294967297)
+ self.assertEqual(long('3723ai4h', 20), 4294967297)
+ self.assertEqual(long('281d55i5', 21), 4294967297)
+ self.assertEqual(long('1fj8b185', 22), 4294967297)
+ self.assertEqual(long('1606k7id', 23), 4294967297)
+ self.assertEqual(long('mb994ah', 24), 4294967297)
+ self.assertEqual(long('hek2mgm', 25), 4294967297)
+ self.assertEqual(long('dnchbnn', 26), 4294967297)
+ self.assertEqual(long('b28jpdn', 27), 4294967297)
+ self.assertEqual(long('8pfgih5', 28), 4294967297)
+ self.assertEqual(long('76beigh', 29), 4294967297)
+ self.assertEqual(long('5qmcpqh', 30), 4294967297)
+ self.assertEqual(long('4q0jto5', 31), 4294967297)
+ self.assertEqual(long('4000001', 32), 4294967297)
+ self.assertEqual(long('3aokq95', 33), 4294967297)
+ self.assertEqual(long('2qhxjlj', 34), 4294967297)
+ self.assertEqual(long('2br45qc', 35), 4294967297)
+ self.assertEqual(long('1z141z5', 36), 4294967297)
+
+
+ def test_conversion(self):
+ # Test __long__()
+ class ClassicMissingMethods:
+ pass
+ self.assertRaises(AttributeError, long, ClassicMissingMethods())
+
+ class MissingMethods(object):
+ pass
+ self.assertRaises(TypeError, long, MissingMethods())
+
+ class Foo0:
+ def __long__(self):
+ return 42L
+
+ class Foo1(object):
+ def __long__(self):
+ return 42L
+
+ class Foo2(long):
+ def __long__(self):
+ return 42L
+
+ class Foo3(long):
+ def __long__(self):
+ return self
+
+ class Foo4(long):
+ def __long__(self):
+ return 42
+
+ class Foo5(long):
+ def __long__(self):
+ return 42.
+
+ self.assertEqual(long(Foo0()), 42L)
+ self.assertEqual(long(Foo1()), 42L)
+ self.assertEqual(long(Foo2()), 42L)
+ self.assertEqual(long(Foo3()), 0)
+ self.assertEqual(long(Foo4()), 42)
+ self.assertRaises(TypeError, long, Foo5())
+
+ class Classic:
+ pass
+ for base in (object, Classic):
+ class LongOverridesTrunc(base):
+ def __long__(self):
+ return 42
+ def __trunc__(self):
+ return -12
+ self.assertEqual(long(LongOverridesTrunc()), 42)
+
+ class JustTrunc(base):
+ def __trunc__(self):
+ return 42
+ self.assertEqual(long(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(long(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:
+ long(TruncReturnsNonIntegral())
+ except TypeError as e:
+ self.assertEqual(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.maxint
+ hugeneg = -hugepos - 1
+ hugepos_aslong = long(hugepos)
+ hugeneg_aslong = long(hugeneg)
+ self.assertEqual(hugepos, hugepos_aslong, "long(sys.maxint) != sys.maxint")
+ self.assertEqual(hugeneg, hugeneg_aslong,
+ "long(-sys.maxint-1) != -sys.maxint-1")
+
+ # long -> int should not fail for hugepos_aslong or hugeneg_aslong
+ x = int(hugepos_aslong)
+ try:
+ self.assertEqual(x, hugepos,
+ "converting sys.maxint to long and back to int fails")
+ except OverflowError:
+ self.fail("int(long(sys.maxint)) overflowed!")
+ if not isinstance(x, int):
+ self.fail("int(long(sys.maxint)) should have returned int")
+ x = int(hugeneg_aslong)
+ try:
+ self.assertEqual(x, hugeneg,
+ "converting -sys.maxint-1 to long and back to int fails")
+ except OverflowError:
+ self.fail("int(long(-sys.maxint-1)) overflowed!")
+ if not isinstance(x, int):
+ self.fail("int(long(-sys.maxint-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.maxint) + 1) mustn't overflow")
+ self.assertIsInstance(y, long,
+ "int(long(sys.maxint) + 1) should have returned long")
+
+ x = hugeneg_aslong - 1
+ try:
+ y = int(x)
+ except OverflowError:
+ self.fail("int(long(-sys.maxint-1) - 1) mustn't overflow")
+ self.assertIsInstance(y, long,
+ "int(long(-sys.maxint-1) - 1) should have returned long")
+
+ class long2(long):
+ pass
+ x = long2(1L<<100)
+ y = int(x)
+ self.assertTrue(type(y) is long,
+ "overflowing int conversion must return long not long subtype")
+
+ # long -> Py_ssize_t conversion
+ class X(object):
+ def __getslice__(self, i, j):
+ return i, j
+
+ with test_support.check_py3k_warnings():
+ self.assertEqual(X()[-5L:7L], (-5, 7))
+ # use the clamping effect to test the smallest and largest longs
+ # that fit a Py_ssize_t
+ slicemin, slicemax = X()[-2L**100:2L**100]
+ self.assertEqual(X()[slicemin:slicemax], (slicemin, slicemax))
+
+ def test_issue9869(self):
+ # Issue 9869: Interpreter crash when initializing an instance
+ # of a long subclass from an object whose __long__ method returns
+ # a plain int.
+ class BadLong(object):
+ def __long__(self):
+ return 1000000
+
+ class MyLong(long):
+ pass
+
+ x = MyLong(BadLong())
+ self.assertIsInstance(x, long)
+ self.assertEqual(x, 1000000)
+
+
+# ----------------------------------- tests of auto int->long conversion
+
+ def test_auto_overflow(self):
+ special = [0, 1, 2, 3, sys.maxint-1, sys.maxint, sys.maxint+1]
+ sqrt = int(math.sqrt(sys.maxint))
+ 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 = long(x)
+
+ expected = -longx
+ got = -x
+ checkit('-', x)
+
+ for y in special:
+ longy = long(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:
+ with test_support.check_py3k_warnings():
+ 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, long(z))
+ got = pow(x, y, z)
+ checkit('pow', x, y, '%', z)
+ else:
+ self.assertRaises(TypeError, pow,longx, longy, long(z))
+
+ @unittest.skipUnless(float.__getformat__("double").startswith("IEEE"),
+ "test requires IEEE 754 doubles")
+ def test_float_conversion(self):
+ import sys
+ DBL_MAX = sys.float_info.max
+ DBL_MAX_EXP = sys.float_info.max_exp
+ DBL_MANT_DIG = sys.float_info.mant_dig
+
+ exact_values = [0L, 1L, 2L,
+ long(2**53-3),
+ long(2**53-2),
+ long(2**53-1),
+ long(2**53),
+ long(2**53+2),
+ long(2**54-4),
+ long(2**54-2),
+ long(2**54),
+ long(2**54+4)]
+ for x in exact_values:
+ self.assertEqual(long(float(x)), x)
+ self.assertEqual(long(float(-x)), -x)
+
+ # test round-half-even
+ for x, y in [(1, 0), (2, 2), (3, 4), (4, 4), (5, 4), (6, 6), (7, 8)]:
+ for p in xrange(15):
+ self.assertEqual(long(float(2L**p*(2**53+x))), 2L**p*(2**53+y))
+
+ for x, y in [(0, 0), (1, 0), (2, 0), (3, 4), (4, 4), (5, 4), (6, 8),
+ (7, 8), (8, 8), (9, 8), (10, 8), (11, 12), (12, 12),
+ (13, 12), (14, 16), (15, 16)]:
+ for p in xrange(15):
+ self.assertEqual(long(float(2L**p*(2**54+x))), 2L**p*(2**54+y))
+
+ # behaviour near extremes of floating-point range
+ long_dbl_max = long(DBL_MAX)
+ top_power = 2**DBL_MAX_EXP
+ halfway = (long_dbl_max + top_power)//2
+ self.assertEqual(float(long_dbl_max), DBL_MAX)
+ self.assertEqual(float(long_dbl_max+1), DBL_MAX)
+ self.assertEqual(float(halfway-1), DBL_MAX)
+ self.assertRaises(OverflowError, float, halfway)
+ self.assertEqual(float(1-halfway), -DBL_MAX)
+ self.assertRaises(OverflowError, float, -halfway)
+ self.assertRaises(OverflowError, float, top_power-1)
+ self.assertRaises(OverflowError, float, top_power)
+ self.assertRaises(OverflowError, float, top_power+1)
+ self.assertRaises(OverflowError, float, 2*top_power-1)
+ self.assertRaises(OverflowError, float, 2*top_power)
+ self.assertRaises(OverflowError, float, top_power*top_power)
+
+ for p in xrange(100):
+ x = long(2**p * (2**53 + 1) + 1)
+ y = long(2**p * (2**53+ 2))
+ self.assertEqual(long(float(x)), y)
+
+ x = long(2**p * (2**53 + 1))
+ y = long(2**p * 2**53)
+ self.assertEqual(long(float(x)), y)
+
+ def test_float_overflow(self):
+ for x in -2.0, -1.0, 0.0, 1.0, 2.0:
+ self.assertEqual(float(long(x)), x)
+
+ shuge = '12345' * 120
+ huge = 1L << 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(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):
+ LOG10E = math.log10(math.e)
+
+ for exp in 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 -(1L << 10000), -2L, 0L:
+ self.assertRaises(ValueError, math.log, bad)
+ self.assertRaises(ValueError, math.log10, bad)
+
+ def test_mixed_compares(self):
+ eq = self.assertEqual
+
+ # 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, long)):
+ 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" % value)
+
+ 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,
+ long(t-1), long(t), long(t+1)])
+ cases.extend([0, 1, 2, sys.maxint, float(sys.maxint)])
+ # 1L<<20000 should exceed all double formats. long(1e200) is to
+ # check that we get equality with 1e200 above.
+ t = long(1e200)
+ cases.extend([0L, 1L, 2L, 1L << 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_nan_inf(self):
+ self.assertRaises(OverflowError, long, float('inf'))
+ self.assertRaises(OverflowError, long, float('-inf'))
+ self.assertRaises(ValueError, long, float('nan'))
+
+ def test_bit_length(self):
+ tiny = 1e-10
+ for x in xrange(-65000, 65000):
+ x = long(x)
+ k = x.bit_length()
+ # Check equivalence with Python version
+ self.assertEqual(k, len(bin(x).lstrip('-0b')))
+ # Behaviour as specified in the docs
+ if x != 0:
+ self.assertTrue(2**(k-1) <= abs(x) < 2**k)
+ else:
+ self.assertEqual(k, 0)
+ # Alternative definition: x.bit_length() == 1 + floor(log_2(x))
+ if x != 0:
+ # When x is an exact power of 2, numeric errors can
+ # cause floor(log(x)/log(2)) to be one too small; for
+ # small x this can be fixed by adding a small quantity
+ # to the quotient before taking the floor.
+ self.assertEqual(k, 1 + math.floor(
+ math.log(abs(x))/math.log(2) + tiny))
+
+ self.assertEqual((0L).bit_length(), 0)
+ self.assertEqual((1L).bit_length(), 1)
+ self.assertEqual((-1L).bit_length(), 1)
+ self.assertEqual((2L).bit_length(), 2)
+ self.assertEqual((-2L).bit_length(), 2)
+ for i in [2, 3, 15, 16, 17, 31, 32, 33, 63, 64, 234]:
+ a = 2L**i
+ self.assertEqual((a-1).bit_length(), i)
+ self.assertEqual((1-a).bit_length(), i)
+ self.assertEqual((a).bit_length(), i+1)
+ self.assertEqual((-a).bit_length(), i+1)
+ self.assertEqual((a+1).bit_length(), i+1)
+ self.assertEqual((-a-1).bit_length(), i+1)
+
+
+def test_main():
+ test_support.run_unittest(LongTest)
+
+if __name__ == "__main__":
+ test_main()
generated by cgit v1.2.3 (git 2.25.1) at 2024-06-05 03:13:12 +0000