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| # -*- coding: utf-8 -*- |
| # |
| # SelfTest/Util/test_number.py: Self-test for parts of the CryptoPlus.Util.number module |
| # |
| # ======================================================================= |
| # Copyright (C) 2008 Dwayne C. Litzenberger <dlitz@dlitz.net> |
| # |
| # Permission is hereby granted, free of charge, to any person obtaining |
| # a copy of this software and associated documentation files (the |
| # "Software"), to deal in the Software without restriction, including |
| # without limitation the rights to use, copy, modify, merge, publish, |
| # distribute, sublicense, and/or sell copies of the Software, and to |
| # permit persons to whom the Software is furnished to do so. |
| # |
| # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
| # "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
| # LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
| # A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT |
| # OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
| # SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT |
| # LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
| # DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
| # THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
| # (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE |
| # OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| # ======================================================================= |
| # |
| |
| """Self-tests for (some of) CryptoPlus.Util.number""" |
| |
| __revision__ = "$Id$" |
| |
| from CryptoPlus.Util.python_compat import * |
| |
| import unittest |
| |
| # NB: In some places, we compare tuples instead of just output values so that |
| # if any inputs cause a test failure, we'll be able to tell which ones. |
| |
| class MiscTests(unittest.TestCase): |
| def setUp(self): |
| global number, math |
| from CryptoPlus.Util import number |
| import math |
| |
| def test_ceil_shift(self): |
| """Util.number.ceil_shift""" |
| self.assertRaises(AssertionError, number.ceil_shift, -1, 1) |
| self.assertRaises(AssertionError, number.ceil_shift, 1, -1) |
| |
| # b = 0 |
| self.assertEqual(0, number.ceil_shift(0, 0)) |
| self.assertEqual(1, number.ceil_shift(1, 0)) |
| self.assertEqual(2, number.ceil_shift(2, 0)) |
| self.assertEqual(3, number.ceil_shift(3, 0)) |
| |
| # b = 1 |
| self.assertEqual(0, number.ceil_shift(0, 1)) |
| self.assertEqual(1, number.ceil_shift(1, 1)) |
| self.assertEqual(1, number.ceil_shift(2, 1)) |
| self.assertEqual(2, number.ceil_shift(3, 1)) |
| |
| # b = 2 |
| self.assertEqual(0, number.ceil_shift(0, 2)) |
| self.assertEqual(1, number.ceil_shift(1, 2)) |
| self.assertEqual(1, number.ceil_shift(2, 2)) |
| self.assertEqual(1, number.ceil_shift(3, 2)) |
| self.assertEqual(1, number.ceil_shift(4, 2)) |
| self.assertEqual(2, number.ceil_shift(5, 2)) |
| self.assertEqual(2, number.ceil_shift(6, 2)) |
| self.assertEqual(2, number.ceil_shift(7, 2)) |
| self.assertEqual(2, number.ceil_shift(8, 2)) |
| self.assertEqual(3, number.ceil_shift(9, 2)) |
| |
| for b in range(3, 1+129, 3): # 3, 6, ... , 129 |
| self.assertEqual(0, number.ceil_shift(0, b)) |
| |
| n = 1L |
| while n <= 2L**(b+2): |
| (q, r) = divmod(n-1, 2L**b) |
| expected = q + int(not not r) |
| self.assertEqual((n-1, b, expected), |
| (n-1, b, number.ceil_shift(n-1, b))) |
| |
| (q, r) = divmod(n, 2L**b) |
| expected = q + int(not not r) |
| self.assertEqual((n, b, expected), |
| (n, b, number.ceil_shift(n, b))) |
| |
| (q, r) = divmod(n+1, 2L**b) |
| expected = q + int(not not r) |
| self.assertEqual((n+1, b, expected), |
| (n+1, b, number.ceil_shift(n+1, b))) |
| |
| n *= 2 |
| |
| def test_ceil_div(self): |
| """Util.number.ceil_div""" |
| self.assertRaises(TypeError, number.ceil_div, "1", 1) |
| self.assertRaises(ZeroDivisionError, number.ceil_div, 1, 0) |
| self.assertRaises(ZeroDivisionError, number.ceil_div, -1, 0) |
| |
| # b = -1 |
| self.assertEqual(0, number.ceil_div(0, -1)) |
| self.assertEqual(-1, number.ceil_div(1, -1)) |
| self.assertEqual(-2, number.ceil_div(2, -1)) |
| self.assertEqual(-3, number.ceil_div(3, -1)) |
| |
| # b = 1 |
| self.assertEqual(0, number.ceil_div(0, 1)) |
| self.assertEqual(1, number.ceil_div(1, 1)) |
| self.assertEqual(2, number.ceil_div(2, 1)) |
| self.assertEqual(3, number.ceil_div(3, 1)) |
| |
| # b = 2 |
| self.assertEqual(0, number.ceil_div(0, 2)) |
| self.assertEqual(1, number.ceil_div(1, 2)) |
| self.assertEqual(1, number.ceil_div(2, 2)) |
| self.assertEqual(2, number.ceil_div(3, 2)) |
| self.assertEqual(2, number.ceil_div(4, 2)) |
| self.assertEqual(3, number.ceil_div(5, 2)) |
| |
| # b = 3 |
| self.assertEqual(0, number.ceil_div(0, 3)) |
| self.assertEqual(1, number.ceil_div(1, 3)) |
| self.assertEqual(1, number.ceil_div(2, 3)) |
| self.assertEqual(1, number.ceil_div(3, 3)) |
| self.assertEqual(2, number.ceil_div(4, 3)) |
| self.assertEqual(2, number.ceil_div(5, 3)) |
| self.assertEqual(2, number.ceil_div(6, 3)) |
| self.assertEqual(3, number.ceil_div(7, 3)) |
| |
| # b = 4 |
| self.assertEqual(0, number.ceil_div(0, 4)) |
| self.assertEqual(1, number.ceil_div(1, 4)) |
| self.assertEqual(1, number.ceil_div(2, 4)) |
| self.assertEqual(1, number.ceil_div(3, 4)) |
| self.assertEqual(1, number.ceil_div(4, 4)) |
| self.assertEqual(2, number.ceil_div(5, 4)) |
| self.assertEqual(2, number.ceil_div(6, 4)) |
| self.assertEqual(2, number.ceil_div(7, 4)) |
| self.assertEqual(2, number.ceil_div(8, 4)) |
| self.assertEqual(3, number.ceil_div(9, 4)) |
| |
| # b = -4 |
| self.assertEqual(3, number.ceil_div(-9, -4)) |
| self.assertEqual(2, number.ceil_div(-8, -4)) |
| self.assertEqual(2, number.ceil_div(-7, -4)) |
| self.assertEqual(2, number.ceil_div(-6, -4)) |
| self.assertEqual(2, number.ceil_div(-5, -4)) |
| self.assertEqual(1, number.ceil_div(-4, -4)) |
| self.assertEqual(1, number.ceil_div(-3, -4)) |
| self.assertEqual(1, number.ceil_div(-2, -4)) |
| self.assertEqual(1, number.ceil_div(-1, -4)) |
| self.assertEqual(0, number.ceil_div(0, -4)) |
| self.assertEqual(0, number.ceil_div(1, -4)) |
| self.assertEqual(0, number.ceil_div(2, -4)) |
| self.assertEqual(0, number.ceil_div(3, -4)) |
| self.assertEqual(-1, number.ceil_div(4, -4)) |
| self.assertEqual(-1, number.ceil_div(5, -4)) |
| self.assertEqual(-1, number.ceil_div(6, -4)) |
| self.assertEqual(-1, number.ceil_div(7, -4)) |
| self.assertEqual(-2, number.ceil_div(8, -4)) |
| self.assertEqual(-2, number.ceil_div(9, -4)) |
| |
| def test_exact_log2(self): |
| """Util.number.exact_log2""" |
| self.assertRaises(TypeError, number.exact_log2, "0") |
| self.assertRaises(ValueError, number.exact_log2, -1) |
| self.assertRaises(ValueError, number.exact_log2, 0) |
| self.assertEqual(0, number.exact_log2(1)) |
| self.assertEqual(1, number.exact_log2(2)) |
| self.assertRaises(ValueError, number.exact_log2, 3) |
| self.assertEqual(2, number.exact_log2(4)) |
| self.assertRaises(ValueError, number.exact_log2, 5) |
| self.assertRaises(ValueError, number.exact_log2, 6) |
| self.assertRaises(ValueError, number.exact_log2, 7) |
| e = 3 |
| n = 8 |
| while e < 16: |
| if n == 2**e: |
| self.assertEqual(e, number.exact_log2(n), "expected=2**%d, n=%d" % (e, n)) |
| e += 1 |
| else: |
| self.assertRaises(ValueError, number.exact_log2, n) |
| n += 1 |
| |
| for e in range(16, 1+64, 2): |
| self.assertRaises(ValueError, number.exact_log2, 2L**e-1) |
| self.assertEqual(e, number.exact_log2(2L**e)) |
| self.assertRaises(ValueError, number.exact_log2, 2L**e+1) |
| |
| def test_exact_div(self): |
| """Util.number.exact_div""" |
| |
| # Positive numbers |
| self.assertEqual(1, number.exact_div(1, 1)) |
| self.assertRaises(ValueError, number.exact_div, 1, 2) |
| self.assertEqual(1, number.exact_div(2, 2)) |
| self.assertRaises(ValueError, number.exact_div, 3, 2) |
| self.assertEqual(2, number.exact_div(4, 2)) |
| |
| # Negative numbers |
| self.assertEqual(-1, number.exact_div(-1, 1)) |
| self.assertEqual(-1, number.exact_div(1, -1)) |
| self.assertRaises(ValueError, number.exact_div, -1, 2) |
| self.assertEqual(1, number.exact_div(-2, -2)) |
| self.assertEqual(-2, number.exact_div(-4, 2)) |
| |
| # Zero dividend |
| self.assertEqual(0, number.exact_div(0, 1)) |
| self.assertEqual(0, number.exact_div(0, 2)) |
| |
| # Zero divisor (allow_divzero == False) |
| self.assertRaises(ZeroDivisionError, number.exact_div, 0, 0) |
| self.assertRaises(ZeroDivisionError, number.exact_div, 1, 0) |
| |
| # Zero divisor (allow_divzero == True) |
| self.assertEqual(0, number.exact_div(0, 0, allow_divzero=True)) |
| self.assertRaises(ValueError, number.exact_div, 1, 0, allow_divzero=True) |
| |
| def test_floor_div(self): |
| """Util.number.floor_div""" |
| self.assertRaises(TypeError, number.floor_div, "1", 1) |
| for a in range(-10, 10): |
| for b in range(-10, 10): |
| if b == 0: |
| self.assertRaises(ZeroDivisionError, number.floor_div, a, b) |
| else: |
| self.assertEqual((a, b, int(math.floor(float(a) / b))), |
| (a, b, number.floor_div(a, b))) |
| |
| def get_tests(): |
| from CryptoPlus.SelfTest.st_common import list_test_cases |
| return list_test_cases(MiscTests) |
| |
| if __name__ == '__main__': |
| suite = lambda: unittest.TestSuite(get_tests()) |
| unittest.main(defaultTest='suite') |
| |
| # vim:set ts=4 sw=4 sts=4 expandtab: |