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Diffstat (limited to 'lib/Python/Lib/Crypto/Util/_number_new.py')
-rw-r--r-- | lib/Python/Lib/Crypto/Util/_number_new.py | 119 |
1 files changed, 119 insertions, 0 deletions
diff --git a/lib/Python/Lib/Crypto/Util/_number_new.py b/lib/Python/Lib/Crypto/Util/_number_new.py new file mode 100644 index 000000000..b040025f3 --- /dev/null +++ b/lib/Python/Lib/Crypto/Util/_number_new.py @@ -0,0 +1,119 @@ +# -*- coding: ascii -*- +# +# Util/_number_new.py : utility functions +# +# Written in 2008 by Dwayne C. Litzenberger <dlitz@dlitz.net> +# +# =================================================================== +# The contents of this file are dedicated to the public domain. To +# the extent that dedication to the public domain is not available, +# everyone is granted a worldwide, perpetual, royalty-free, +# non-exclusive license to exercise all rights associated with the +# contents of this file for any purpose whatsoever. +# No rights are reserved. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, +# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF +# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND +# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS +# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN +# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN +# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. +# =================================================================== + +## NOTE: Do not import this module directly. Import these functions from Crypto.Util.number. + +__revision__ = "$Id$" +__all__ = ['ceil_shift', 'ceil_div', 'floor_div', 'exact_log2', 'exact_div'] + +import sys +if sys.version_info[0] == 2 and sys.version_info[1] == 1: + from Crypto.Util.py21compat import * + +def ceil_shift(n, b): + """Return ceil(n / 2**b) without performing any floating-point or division operations. + + This is done by right-shifting n by b bits and incrementing the result by 1 + if any '1' bits were shifted out. + """ + if not isinstance(n, (int, long)) or not isinstance(b, (int, long)): + raise TypeError("unsupported operand type(s): %r and %r" % (type(n).__name__, type(b).__name__)) + + assert n >= 0 and b >= 0 # I haven't tested or even thought about negative values + mask = (1L << b) - 1 + if n & mask: + return (n >> b) + 1 + else: + return n >> b + +def ceil_div(a, b): + """Return ceil(a / b) without performing any floating-point operations.""" + + if not isinstance(a, (int, long)) or not isinstance(b, (int, long)): + raise TypeError("unsupported operand type(s): %r and %r" % (type(a).__name__, type(b).__name__)) + + (q, r) = divmod(a, b) + if r: + return q + 1 + else: + return q + +def floor_div(a, b): + if not isinstance(a, (int, long)) or not isinstance(b, (int, long)): + raise TypeError("unsupported operand type(s): %r and %r" % (type(a).__name__, type(b).__name__)) + + (q, r) = divmod(a, b) + return q + +def exact_log2(num): + """Find and return an integer i >= 0 such that num == 2**i. + + If no such integer exists, this function raises ValueError. + """ + + if not isinstance(num, (int, long)): + raise TypeError("unsupported operand type: %r" % (type(num).__name__,)) + + n = long(num) + if n <= 0: + raise ValueError("cannot compute logarithm of non-positive number") + + i = 0 + while n != 0: + if (n & 1) and n != 1: + raise ValueError("No solution could be found") + i += 1 + n >>= 1 + i -= 1 + + assert num == (1L << i) + return i + +def exact_div(p, d, allow_divzero=False): + """Find and return an integer n such that p == n * d + + If no such integer exists, this function raises ValueError. + + Both operands must be integers. + + If the second operand is zero, this function will raise ZeroDivisionError + unless allow_divzero is true (default: False). + """ + + if not isinstance(p, (int, long)) or not isinstance(d, (int, long)): + raise TypeError("unsupported operand type(s): %r and %r" % (type(p).__name__, type(d).__name__)) + + if d == 0 and allow_divzero: + n = 0 + if p != n * d: + raise ValueError("No solution could be found") + else: + (n, r) = divmod(p, d) + if r != 0: + raise ValueError("No solution could be found") + + assert p == n * d + return n + +# vim:set ts=4 sw=4 sts=4 expandtab: |