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Math
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# =================================================================== # # Copyright (c) 2018, Helder Eijs <helderijs@gmail.com> # All rights reserved. # # Redistribution and use in source and binary forms, with or without # modification, are permitted provided that the following conditions # are met: # # 1. Redistributions of source code must retain the above copyright # notice, this list of conditions and the following disclaimer. # 2. Redistributions in binary form must reproduce the above copyright # notice, this list of conditions and the following disclaimer in # the documentation and/or other materials provided with the # distribution. # # 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 HOLDER 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. # =================================================================== from ._IntegerNative import IntegerNative from Crypto.Util.number import long_to_bytes, bytes_to_long from Crypto.Util._raw_api import (load_pycryptodome_raw_lib, create_string_buffer, get_raw_buffer, backend, c_size_t, c_ulonglong) from Crypto.Random.random import getrandbits c_defs = """ int monty_pow(const uint8_t *base, const uint8_t *exp, const uint8_t *modulus, uint8_t *out, size_t len, uint64_t seed); """ _raw_montgomery = load_pycryptodome_raw_lib("Crypto.Math._modexp", c_defs) implementation = {"library": "custom", "api": backend} class IntegerCustom(IntegerNative): @staticmethod def from_bytes(byte_string, byteorder='big'): if byteorder == 'big': pass elif byteorder == 'little': byte_string = bytearray(byte_string) byte_string.reverse() else: raise ValueError("Incorrect byteorder") return IntegerCustom(bytes_to_long(byte_string)) def inplace_pow(self, exponent, modulus=None): exp_value = int(exponent) if exp_value < 0: raise ValueError("Exponent must not be negative") # No modular reduction if modulus is None: self._value = pow(self._value, exp_value) return self # With modular reduction mod_value = int(modulus) if mod_value < 0: raise ValueError("Modulus must be positive") if mod_value == 0: raise ZeroDivisionError("Modulus cannot be zero") # C extension only works with odd moduli if (mod_value & 1) == 0: self._value = pow(self._value, exp_value, mod_value) return self # C extension only works with bases smaller than modulus if self._value >= mod_value: self._value %= mod_value max_len = len(long_to_bytes(max(self._value, exp_value, mod_value))) base_b = long_to_bytes(self._value, max_len) exp_b = long_to_bytes(exp_value, max_len) modulus_b = long_to_bytes(mod_value, max_len) out = create_string_buffer(max_len) error = _raw_montgomery.monty_pow( out, base_b, exp_b, modulus_b, c_size_t(max_len), c_ulonglong(getrandbits(64)) ) if error: raise ValueError("monty_pow failed with error: %d" % error) result = bytes_to_long(get_raw_buffer(out)) self._value = result return self
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