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6e277cf7de
[The test is in a slightly odd place, in test_division_2; but it exercises the recent change to long_mult(), and that's all we really ask for. --GvR]
261 lines
8.6 KiB
Python
261 lines
8.6 KiB
Python
from test_support import TestFailed, verbose
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from string import join
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from random import random, randint
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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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# Max number of base BASE digits to use in test cases. Doubling
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# this will at least quadruple the runtime.
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MAXDIGITS = 10
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# build some special values
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special = map(long, [0, 1, 2, BASE, BASE >> 1])
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special.append(0x5555555555555555L)
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special.append(0xaaaaaaaaaaaaaaaaL)
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# some solid strings of one bits
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p2 = 4L # 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 = special + map(lambda x: ~x, special) + \
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map(lambda x: -x, special)
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# ------------------------------------------------------------ utilities
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# Use check instead of assert so the test still does something
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# under -O.
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def check(ok, *args):
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if not ok:
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raise TestFailed, join(map(str, args), " ")
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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(ndigits):
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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 = 0L
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nbits = 0
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r = int(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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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() * (SHIFT * 2))
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assert nbits_lo <= nbits <= nbits_hi
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if 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 = 0L
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for i in range(ndigits):
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answer = (answer << SHIFT) | randint(0, MASK)
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if random() < 0.5:
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answer = -answer
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return answer
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# --------------------------------------------------------------- divmod
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def test_division_2(x, y):
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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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check(pab == pba, "multiplication does not commute for", x, y)
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check(q == q2, "divmod returns different quotient than / for", x, y)
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check(r == r2, "divmod returns different mod than % for", x, y)
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check(x == q*y + r, "x != q*y + r after divmod on", x, y)
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if y > 0:
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check(0 <= r < y, "bad mod from divmod on", x, y)
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else:
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check(y < r <= 0, "bad mod from divmod on", x, y)
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def test_division(maxdigits=MAXDIGITS):
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print "long / * % divmod"
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digits = range(1, maxdigits+1)
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for lenx in digits:
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x = getran(lenx)
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for leny in digits:
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y = getran(leny) or 1L
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test_division_2(x, y)
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# -------------------------------------------------------------- ~ & | ^
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def test_bitop_identities_1(x):
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check(x & 0 == 0, "x & 0 != 0 for", x)
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check(x | 0 == x, "x | 0 != x for", x)
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check(x ^ 0 == x, "x ^ 0 != x for", x)
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check(x & -1 == x, "x & -1 != x for", x)
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check(x | -1 == -1, "x | -1 != -1 for", x)
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check(x ^ -1 == ~x, "x ^ -1 != ~x for", x)
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check(x == ~~x, "x != ~~x for", x)
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check(x & x == x, "x & x != x for", x)
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check(x | x == x, "x | x != x for", x)
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check(x ^ x == 0, "x ^ x != 0 for", x)
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check(x & ~x == 0, "x & ~x != 0 for", x)
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check(x | ~x == -1, "x | ~x != -1 for", x)
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check(x ^ ~x == -1, "x ^ ~x != -1 for", x)
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check(-x == 1 + ~x == ~(x-1), "not -x == 1 + ~x == ~(x-1) for", x)
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for n in range(2*SHIFT):
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p2 = 2L ** n
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check(x << n >> n == x, "x << n >> n != x for", x, n)
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check(x / p2 == x >> n, "x / p2 != x >> n for x n p2", x, n, p2)
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check(x * p2 == x << n, "x * p2 != x << n for x n p2", x, n, p2)
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check(x & -p2 == x >> n << n == x & ~(p2 - 1),
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"not x & -p2 == x >> n << n == x & ~(p2 - 1) for x n p2",
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x, n, p2)
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def test_bitop_identities_2(x, y):
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check(x & y == y & x, "x & y != y & x for", x, y)
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check(x | y == y | x, "x | y != y | x for", x, y)
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check(x ^ y == y ^ x, "x ^ y != y ^ x for", x, y)
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check(x ^ y ^ x == y, "x ^ y ^ x != y for", x, y)
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check(x & y == ~(~x | ~y), "x & y != ~(~x | ~y) for", x, y)
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check(x | y == ~(~x & ~y), "x | y != ~(~x & ~y) for", x, y)
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check(x ^ y == (x | y) & ~(x & y),
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"x ^ y != (x | y) & ~(x & y) for", x, y)
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check(x ^ y == (x & ~y) | (~x & y),
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"x ^ y == (x & ~y) | (~x & y) for", x, y)
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check(x ^ y == (x | y) & (~x | ~y),
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"x ^ y == (x | y) & (~x | ~y) for", x, y)
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def test_bitop_identities_3(x, y, z):
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check((x & y) & z == x & (y & z),
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"(x & y) & z != x & (y & z) for", x, y, z)
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check((x | y) | z == x | (y | z),
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"(x | y) | z != x | (y | z) for", x, y, z)
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check((x ^ y) ^ z == x ^ (y ^ z),
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"(x ^ y) ^ z != x ^ (y ^ z) for", x, y, z)
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check(x & (y | z) == (x & y) | (x & z),
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"x & (y | z) != (x & y) | (x & z) for", x, y, z)
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check(x | (y & z) == (x | y) & (x | z),
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"x | (y & z) != (x | y) & (x | z) for", x, y, z)
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def test_bitop_identities(maxdigits=MAXDIGITS):
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print "long bit-operation identities"
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for x in special:
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test_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 = getran(lenx)
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test_bitop_identities_1(x)
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for leny in digits:
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y = getran(leny)
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test_bitop_identities_2(x, y)
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test_bitop_identities_3(x, y, getran((lenx + leny)/2))
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# ------------------------------------------------- hex oct repr str atol
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def slow_format(x, base):
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if (x, base) == (0, 8):
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# this is an oddball!
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return "0L"
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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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{8: '0', 10: '', 16: '0x'}[base] + \
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join(map(lambda i: "0123456789ABCDEF"[i], digits), '') + \
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"L"
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def test_format_1(x):
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from string import atol
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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 = slow_format(x, base)
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check(got == expected, mapper.__name__, "returned",
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got, "but expected", expected, "for", x)
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check(atol(got, 0) == x, 'atol("%s", 0) !=' % 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 = slow_format(x, 10)[:-1]
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check(got == expected, mapper.__name__, "returned",
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got, "but expected", expected, "for", x)
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def test_format(maxdigits=MAXDIGITS):
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print "long str/hex/oct/atol"
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for x in special:
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test_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 = getran(lenx)
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test_format_1(x)
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# ----------------------------------------------------------------- misc
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def test_misc(maxdigits=MAXDIGITS):
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print "long miscellaneous operations"
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import sys
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# check the extremes in int<->long conversion
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hugepos = sys.maxint
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hugeneg = -hugepos - 1
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hugepos_aslong = long(hugepos)
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hugeneg_aslong = long(hugeneg)
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check(hugepos == hugepos_aslong, "long(sys.maxint) != sys.maxint")
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check(hugeneg == hugeneg_aslong,
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"long(-sys.maxint-1) != -sys.maxint-1")
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# long -> int should not fail for hugepos_aslong or hugeneg_aslong
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try:
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check(int(hugepos_aslong) == hugepos,
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"converting sys.maxint to long and back to int fails")
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except OverflowError:
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raise TestFailed, "int(long(sys.maxint)) overflowed!"
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try:
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check(int(hugeneg_aslong) == hugeneg,
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"converting -sys.maxint-1 to long and back to int fails")
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except OverflowError:
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raise TestFailed, "int(long(-sys.maxint-1)) overflowed!"
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# but long -> int should overflow for hugepos+1 and hugeneg-1
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x = hugepos_aslong + 1
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try:
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int(x)
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raise ValueError
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except OverflowError:
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pass
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except:
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raise TestFailed, "int(long(sys.maxint) + 1) didn't overflow"
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x = hugeneg_aslong - 1
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try:
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int(x)
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raise ValueError
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except OverflowError:
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pass
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except:
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raise TestFailed, "int(long(-sys.maxint-1) - 1) didn't overflow"
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# ---------------------------------------------------------------- do it
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test_division()
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test_bitop_identities()
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test_format()
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test_misc()
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