cryb-to/lib/mpi/cryb_mpi_sub_abs.c
2016-09-04 14:56:39 +02:00

96 lines
2.9 KiB
C

/*
* Copyright (c) 2014 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 <stdint.h>
#include <stdlib.h>
#include <cryb/mpi.h>
#include "cryb_mpi_impl.h"
/*
* Store the difference between the absolute values of A and B in X.
*/
int
mpi_sub_abs(cryb_mpi *X, cryb_mpi *A, cryb_mpi *B)
{
cryb_mpi *L, *G;
unsigned int i;
uint32_t c, cn;
/*
* Trivial cases: A and B are the same or equal or at least one of
* them is zero.
*/
if (A == B || mpi_eq_abs(A, B)) {
mpi_zero(X);
return (0);
}
if (A->msb == 0)
return (X == B ? 0 : mpi_copy(X, B));
if (B->msb == 0)
return (X == A ? 0 : mpi_copy(X, A));
/* we want to subtract the smaller number from the larger */
if (mpi_cmp_abs(A, B) < 0)
L = A, G = B;
else
L = B, G = A;
/* make sure X is large enough for the largest possible result */
if (mpi_grow(X, G->msb) != 0)
return (-1);
/* subtract L from G word by word until we run out of L */
for (c = i = 0; i < (L->msb + 31) / 32; ++i) {
cn = G->words[i] < c ||
G->words[i] - c < L->words[i];
X->words[i] = G->words[i] - L->words[i] - c;
c = cn;
}
/* keep propagating carry */
while (c) {
cn = (G->words[i] < c);
X->words[i] = G->words[i] - c;
c = cn;
++i;
}
while (i > 0 && X->words[i] == 0)
--i;
/* compute msb of msw */
/* XXX use flsl() */
for (X->msb = 31; X->msb > 0; --X->msb)
if (X->words[i] & (1 << X->msb))
break;
/* add msw offset */
X->msb += i * 32 + 1;
return (0);
}