from UnitTest import UnitTest import sys import random do_minimal_checks = True do_all_checks = False #from __pyjamas__ import debugger class test_support: have_unicode = False # Used for lazy formatting of failure messages class Frm(object): def __init__(self, format, *args): self.format = format if len(args) == 1 and isinstance(args[0], tuple): self.args = args[0] else: self.args = args def __str__(self): print self.format, self.args return self.format % self.args # SHIFT should match the value in longintrepr.h for best testing. SHIFT = 15 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), ] class LongTypeTest(UnitTest): """tests for long object""" def assert_(self, condition, msg=None): if not condition: if not msg: msg = "assert condition is false" raise Exception(msg) 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.assert_(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.assert_(0 <= r < y, Frm("bad mod from divmod on %r and %r", x, y)) else: self.assert_(y < r <= 0, Frm("bad mod from divmod on %r and %r", x, y)) def test_division(self): if do_minimal_checks: return if do_all_checks: digits = range(1, MAXDIGITS+1) + \ range(KARATSUBA_CUTOFF, KARATSUBA_CUTOFF + 14) else: digits = [1, 2, int(MAXDIGITS/3), 2 * int(MAXDIGITS/3), MAXDIGITS-1, MAXDIGITS, MAXDIGITS+2, 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 y = self.getran(leny) if y == 0L: y = 1L self.check_division(x, y) def test_karatsuba(self): if do_minimal_checks: return if do_all_checks: digits = range(1, 5) + range(KARATSUBA_CUTOFF, KARATSUBA_CUTOFF + 10) else: digits = [1, 5, 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. try: 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)) except: print abits, bbits print sys.tracebackstr() raise 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) for x=%r", x)) if not do_all_checks: return 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): if do_minimal_checks: return for x in special: self.check_bitop_identities_1(x) if not do_all_checks: return 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] if not digits: digits = [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) if not do_all_checks: return 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) self.assertTrue(isinstance(long(314), long)) self.assertTrue(isinstance(long(3.14), long)) self.assertTrue(isinstance(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) 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), ] L2 += LL for s, v in L2: 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 except TypeError: pass #self.assertRaises(ValueError, long, '123\0') try: v = long('123\0') self.fail(r"long('123\0')") except ValueError: self.assertTrue(True) #self.assertRaises(ValueError, long, '53', 40) try: v = long('53', 40) self.fail(r"long('53', 40)") except ValueError: self.assertTrue(True) #self.assertRaises(TypeError, long, 1, 12) try: v = long(1, 12) self.fail("long(1, 12)") except TypeError: self.assertTrue(True) # SF patch #1638879: embedded NULs were not detected with # explicit base #self.assertRaises(ValueError, long, '123\0', 10) try: v = long('123\0', 10) self.fail(r"long('123\0', 10)") except ValueError: self.assertTrue(True) #self.assertRaises(ValueError, long, '123\x00 245', 20) try: v = long('123\x00 245', 20) self.fail(r"(long('123\x00 245', 20)") except ValueError: self.assertTrue(True) 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)