cryb-to/lib/mpi/cryb_mpi_mul_abs.c
2017-04-06 19:52:23 +02:00

104 lines
3.2 KiB
C

/*
* Copyright (c) 2017 Dag-Erling Smørgrav
* 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.
* 3. The name of the author may not be used to endorse or promote
* products derived from this software without specific prior written
* permission.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR 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 AUTHOR 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.
*/
#include "cryb/impl.h"
#include <stddef.h>
#include <stdint.h>
#include <strings.h>
#include <cryb/bitwise.h>
#include <cryb/mpi.h>
#include "cryb_mpi_impl.h"
/*
* Store the product of the absolutes values of A and B in X.
*
* Note: this is loosely based on HAC 14.2.3. However, the first
* paragraph speaks of x and y having n and t digits respectively, with
* the most significant digits being x[n - 1] and y[t - 1], but the rest
* of the section refers to x and y having n + 1 and t + 1 digits. We
* follow the former convention, but use a and b instead of n and t to
* distance ourselves from this confusing text.
*/
int
mpi_mul_abs(cryb_mpi *X, const cryb_mpi *A, const cryb_mpi *B)
{
cryb_mpi *P, T = CRYB_MPI_ZERO;
uint64_t p;
unsigned int a, b, i, j;
uint32_t c;
/*
* Trivial cases: A and / or B is zero.
*/
if (A->msb == 0 || B->msb == 0) {
mpi_zero(X);
return (0);
}
/*
* Unlike addition or subtraction, we can't multiply in place, so
* if the destination is identical with one of the operands, we
* will have to use temporary storage. Either way, make sure we
* have enough room for the product.
*/
P = (X == A || X == B) ? &T : X;
mpi_zero(P);
a = (A->msb + 31) / 32;
b = (B->msb + 31) / 32;
if (mpi_grow(P, (a + b) * 32) != 0)
return (-1);
/*
* Multiply...
*/
for (i = 0; i < b; ++i) {
for (c = j = 0; j < a; ++j) {
p = 1ULL * A->words[j] * B->words[i] + c;
P->words[i + j] += p & 0xffffffffUL;
c = p >> 32;
}
P->words[i + j] = c;
}
if (P->words[i = a + b - 1] == 0)
--i;
P->msb = i * 32 + flsl(P->words[i]);
/*
* If we used temporary storage, copy back and clean up.
*/
if (P == &T) {
cryb_mpi_swap(X, P);
cryb_mpi_destroy(P);
}
return (0);
}