288 lines
12 KiB
Python
288 lines
12 KiB
Python
# -*- coding: utf-8 -*-
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#
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# SelfTest/Util/test_number.py: Self-test for parts of the Crypto.Util.number module
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#
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# Written in 2008 by Dwayne C. Litzenberger <dlitz@dlitz.net>
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#
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# ===================================================================
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# The contents of this file are dedicated to the public domain. To
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# the extent that dedication to the public domain is not available,
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# everyone is granted a worldwide, perpetual, royalty-free,
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# non-exclusive license to exercise all rights associated with the
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# contents of this file for any purpose whatsoever.
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# No rights are reserved.
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#
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# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
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# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
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# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
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# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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# SOFTWARE.
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# ===================================================================
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"""Self-tests for (some of) Crypto.Util.number"""
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from Crypto.Util.py3compat import *
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import unittest
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class MyError(Exception):
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"""Dummy exception used for tests"""
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# NB: In some places, we compare tuples instead of just output values so that
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# if any inputs cause a test failure, we'll be able to tell which ones.
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class MiscTests(unittest.TestCase):
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def setUp(self):
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global number, math
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from Crypto.Util import number
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import math
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def test_ceil_shift(self):
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"""Util.number.ceil_shift"""
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self.assertRaises(AssertionError, number.ceil_shift, -1, 1)
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self.assertRaises(AssertionError, number.ceil_shift, 1, -1)
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# b = 0
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self.assertEqual(0, number.ceil_shift(0, 0))
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self.assertEqual(1, number.ceil_shift(1, 0))
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self.assertEqual(2, number.ceil_shift(2, 0))
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self.assertEqual(3, number.ceil_shift(3, 0))
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# b = 1
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self.assertEqual(0, number.ceil_shift(0, 1))
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self.assertEqual(1, number.ceil_shift(1, 1))
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self.assertEqual(1, number.ceil_shift(2, 1))
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self.assertEqual(2, number.ceil_shift(3, 1))
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# b = 2
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self.assertEqual(0, number.ceil_shift(0, 2))
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self.assertEqual(1, number.ceil_shift(1, 2))
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self.assertEqual(1, number.ceil_shift(2, 2))
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self.assertEqual(1, number.ceil_shift(3, 2))
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self.assertEqual(1, number.ceil_shift(4, 2))
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self.assertEqual(2, number.ceil_shift(5, 2))
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self.assertEqual(2, number.ceil_shift(6, 2))
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self.assertEqual(2, number.ceil_shift(7, 2))
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self.assertEqual(2, number.ceil_shift(8, 2))
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self.assertEqual(3, number.ceil_shift(9, 2))
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for b in range(3, 1+129, 3): # 3, 6, ... , 129
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self.assertEqual(0, number.ceil_shift(0, b))
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n = 1
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while n <= 2**(b+2):
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(q, r) = divmod(n-1, 2**b)
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expected = q + int(not not r)
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self.assertEqual((n-1, b, expected),
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(n-1, b, number.ceil_shift(n-1, b)))
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(q, r) = divmod(n, 2**b)
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expected = q + int(not not r)
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self.assertEqual((n, b, expected),
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(n, b, number.ceil_shift(n, b)))
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(q, r) = divmod(n+1, 2**b)
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expected = q + int(not not r)
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self.assertEqual((n+1, b, expected),
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(n+1, b, number.ceil_shift(n+1, b)))
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n *= 2
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def test_ceil_div(self):
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"""Util.number.ceil_div"""
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self.assertRaises(TypeError, number.ceil_div, "1", 1)
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self.assertRaises(ZeroDivisionError, number.ceil_div, 1, 0)
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self.assertRaises(ZeroDivisionError, number.ceil_div, -1, 0)
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# b = -1
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self.assertEqual(0, number.ceil_div(0, -1))
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self.assertEqual(-1, number.ceil_div(1, -1))
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self.assertEqual(-2, number.ceil_div(2, -1))
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self.assertEqual(-3, number.ceil_div(3, -1))
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# b = 1
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self.assertEqual(0, number.ceil_div(0, 1))
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self.assertEqual(1, number.ceil_div(1, 1))
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self.assertEqual(2, number.ceil_div(2, 1))
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self.assertEqual(3, number.ceil_div(3, 1))
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# b = 2
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self.assertEqual(0, number.ceil_div(0, 2))
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self.assertEqual(1, number.ceil_div(1, 2))
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self.assertEqual(1, number.ceil_div(2, 2))
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self.assertEqual(2, number.ceil_div(3, 2))
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self.assertEqual(2, number.ceil_div(4, 2))
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self.assertEqual(3, number.ceil_div(5, 2))
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# b = 3
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self.assertEqual(0, number.ceil_div(0, 3))
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self.assertEqual(1, number.ceil_div(1, 3))
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self.assertEqual(1, number.ceil_div(2, 3))
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self.assertEqual(1, number.ceil_div(3, 3))
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self.assertEqual(2, number.ceil_div(4, 3))
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self.assertEqual(2, number.ceil_div(5, 3))
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self.assertEqual(2, number.ceil_div(6, 3))
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self.assertEqual(3, number.ceil_div(7, 3))
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# b = 4
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self.assertEqual(0, number.ceil_div(0, 4))
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self.assertEqual(1, number.ceil_div(1, 4))
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self.assertEqual(1, number.ceil_div(2, 4))
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self.assertEqual(1, number.ceil_div(3, 4))
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self.assertEqual(1, number.ceil_div(4, 4))
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self.assertEqual(2, number.ceil_div(5, 4))
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self.assertEqual(2, number.ceil_div(6, 4))
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self.assertEqual(2, number.ceil_div(7, 4))
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self.assertEqual(2, number.ceil_div(8, 4))
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self.assertEqual(3, number.ceil_div(9, 4))
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# b = -4
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self.assertEqual(3, number.ceil_div(-9, -4))
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self.assertEqual(2, number.ceil_div(-8, -4))
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self.assertEqual(2, number.ceil_div(-7, -4))
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self.assertEqual(2, number.ceil_div(-6, -4))
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self.assertEqual(2, number.ceil_div(-5, -4))
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self.assertEqual(1, number.ceil_div(-4, -4))
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self.assertEqual(1, number.ceil_div(-3, -4))
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self.assertEqual(1, number.ceil_div(-2, -4))
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self.assertEqual(1, number.ceil_div(-1, -4))
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self.assertEqual(0, number.ceil_div(0, -4))
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self.assertEqual(0, number.ceil_div(1, -4))
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self.assertEqual(0, number.ceil_div(2, -4))
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self.assertEqual(0, number.ceil_div(3, -4))
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self.assertEqual(-1, number.ceil_div(4, -4))
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self.assertEqual(-1, number.ceil_div(5, -4))
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self.assertEqual(-1, number.ceil_div(6, -4))
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self.assertEqual(-1, number.ceil_div(7, -4))
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self.assertEqual(-2, number.ceil_div(8, -4))
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self.assertEqual(-2, number.ceil_div(9, -4))
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def test_exact_log2(self):
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"""Util.number.exact_log2"""
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self.assertRaises(TypeError, number.exact_log2, "0")
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self.assertRaises(ValueError, number.exact_log2, -1)
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self.assertRaises(ValueError, number.exact_log2, 0)
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self.assertEqual(0, number.exact_log2(1))
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self.assertEqual(1, number.exact_log2(2))
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self.assertRaises(ValueError, number.exact_log2, 3)
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self.assertEqual(2, number.exact_log2(4))
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self.assertRaises(ValueError, number.exact_log2, 5)
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self.assertRaises(ValueError, number.exact_log2, 6)
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self.assertRaises(ValueError, number.exact_log2, 7)
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e = 3
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n = 8
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while e < 16:
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if n == 2**e:
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self.assertEqual(e, number.exact_log2(n), "expected=2**%d, n=%d" % (e, n))
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e += 1
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else:
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self.assertRaises(ValueError, number.exact_log2, n)
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n += 1
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for e in range(16, 1+64, 2):
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self.assertRaises(ValueError, number.exact_log2, 2**e-1)
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self.assertEqual(e, number.exact_log2(2**e))
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self.assertRaises(ValueError, number.exact_log2, 2**e+1)
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def test_exact_div(self):
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"""Util.number.exact_div"""
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# Positive numbers
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self.assertEqual(1, number.exact_div(1, 1))
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self.assertRaises(ValueError, number.exact_div, 1, 2)
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self.assertEqual(1, number.exact_div(2, 2))
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self.assertRaises(ValueError, number.exact_div, 3, 2)
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self.assertEqual(2, number.exact_div(4, 2))
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# Negative numbers
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self.assertEqual(-1, number.exact_div(-1, 1))
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self.assertEqual(-1, number.exact_div(1, -1))
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self.assertRaises(ValueError, number.exact_div, -1, 2)
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self.assertEqual(1, number.exact_div(-2, -2))
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self.assertEqual(-2, number.exact_div(-4, 2))
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# Zero dividend
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self.assertEqual(0, number.exact_div(0, 1))
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self.assertEqual(0, number.exact_div(0, 2))
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# Zero divisor (allow_divzero == False)
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self.assertRaises(ZeroDivisionError, number.exact_div, 0, 0)
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self.assertRaises(ZeroDivisionError, number.exact_div, 1, 0)
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# Zero divisor (allow_divzero == True)
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self.assertEqual(0, number.exact_div(0, 0, allow_divzero=True))
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self.assertRaises(ValueError, number.exact_div, 1, 0, allow_divzero=True)
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def test_floor_div(self):
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"""Util.number.floor_div"""
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self.assertRaises(TypeError, number.floor_div, "1", 1)
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for a in range(-10, 10):
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for b in range(-10, 10):
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if b == 0:
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self.assertRaises(ZeroDivisionError, number.floor_div, a, b)
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else:
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self.assertEqual((a, b, int(math.floor(float(a) / b))),
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(a, b, number.floor_div(a, b)))
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def test_getStrongPrime(self):
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"""Util.number.getStrongPrime"""
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self.assertRaises(ValueError, number.getStrongPrime, 256)
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self.assertRaises(ValueError, number.getStrongPrime, 513)
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bits = 512
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x = number.getStrongPrime(bits)
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self.assertNotEqual(x % 2, 0)
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self.assertEqual(x > (1 << bits-1)-1, 1)
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self.assertEqual(x < (1 << bits), 1)
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e = 2**16+1
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x = number.getStrongPrime(bits, e)
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self.assertEqual(number.GCD(x-1, e), 1)
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self.assertNotEqual(x % 2, 0)
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self.assertEqual(x > (1 << bits-1)-1, 1)
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self.assertEqual(x < (1 << bits), 1)
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e = 2**16+2
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x = number.getStrongPrime(bits, e)
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self.assertEqual(number.GCD((x-1)>>1, e), 1)
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self.assertNotEqual(x % 2, 0)
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self.assertEqual(x > (1 << bits-1)-1, 1)
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self.assertEqual(x < (1 << bits), 1)
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def test_isPrime(self):
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"""Util.number.isPrime"""
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self.assertEqual(number.isPrime(-3), False) # Regression test: negative numbers should not be prime
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self.assertEqual(number.isPrime(-2), False) # Regression test: negative numbers should not be prime
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self.assertEqual(number.isPrime(1), False) # Regression test: isPrime(1) caused some versions of PyCrypto to crash.
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self.assertEqual(number.isPrime(2), True)
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self.assertEqual(number.isPrime(3), True)
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self.assertEqual(number.isPrime(4), False)
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self.assertEqual(number.isPrime(2**1279-1), True)
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self.assertEqual(number.isPrime(-(2**1279-1)), False) # Regression test: negative numbers should not be prime
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# test some known gmp pseudo-primes taken from
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# http://www.trnicely.net/misc/mpzspsp.html
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for composite in (43 * 127 * 211, 61 * 151 * 211, 15259 * 30517,
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346141 * 692281, 1007119 * 2014237, 3589477 * 7178953,
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4859419 * 9718837, 2730439 * 5460877,
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245127919 * 490255837, 963939391 * 1927878781,
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4186358431 * 8372716861, 1576820467 * 3153640933):
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self.assertEqual(number.isPrime(int(composite)), False)
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def test_size(self):
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self.assertEqual(number.size(2),2)
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self.assertEqual(number.size(3),2)
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self.assertEqual(number.size(0xa2),8)
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self.assertEqual(number.size(0xa2ba40),8*3)
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self.assertEqual(number.size(0xa2ba40ee07e3b2bd2f02ce227f36a195024486e49c19cb41bbbdfbba98b22b0e577c2eeaffa20d883a76e65e394c69d4b3c05a1e8fadda27edb2a42bc000fe888b9b32c22d15add0cd76b3e7936e19955b220dd17d4ea904b1ec102b2e4de7751222aa99151024c7cb41cc5ea21d00eeb41f7c800834d2c6e06bce3bce7ea9a5), 1024)
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def get_tests(config={}):
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from Crypto.SelfTest.st_common import list_test_cases
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tests = list_test_cases(MiscTests)
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return tests
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if __name__ == '__main__':
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suite = lambda: unittest.TestSuite(get_tests())
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unittest.main(defaultTest='suite')
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# vim:set ts=4 sw=4 sts=4 expandtab:
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