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authorWerner Koch <[email protected]>2000-12-19 17:20:22 +0000
committerWerner Koch <[email protected]>2000-12-19 17:20:22 +0000
commit07ca4eaa9d8df67acdccc86c782bcef685d49e2c (patch)
tree2876cad5493c5f4efa6c85e591dbe7cc26abadf0 /mpi/mpi-pow.c
parentAbout to release 1.1.2 (diff)
downloadgnupg-07ca4eaa9d8df67acdccc86c782bcef685d49e2c.tar.gz
gnupg-07ca4eaa9d8df67acdccc86c782bcef685d49e2c.zip
Removed files from the HEAD revision, because they are now in another
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Diffstat (limited to 'mpi/mpi-pow.c')
-rw-r--r--mpi/mpi-pow.c295
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diff --git a/mpi/mpi-pow.c b/mpi/mpi-pow.c
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-/* mpi-pow.c - MPI functions
- * Copyright (C) 1998 Free Software Foundation, Inc.
- * Copyright (C) 1994, 1996, 2000 Free Software Foundation, Inc.
- *
- * This file is part of GnuPG.
- *
- * GnuPG is free software; you can redistribute it and/or modify
- * it under the terms of the GNU General Public License as published by
- * the Free Software Foundation; either version 2 of the License, or
- * (at your option) any later version.
- *
- * GnuPG is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
- *
- * Note: This code is heavily based on the GNU MP Library.
- * Actually it's the same code with only minor changes in the
- * way the data is stored; this is to support the abstraction
- * of an optional secure memory allocation which may be used
- * to avoid revealing of sensitive data due to paging etc.
- * The GNU MP Library itself is published under the LGPL;
- * however I decided to publish this code under the plain GPL.
- */
-
-#include <config.h>
-#include <stdio.h>
-#include <stdlib.h>
-#include <string.h>
-#include "mpi-internal.h"
-#include "longlong.h"
-#include <assert.h>
-
-
-/****************
- * RES = BASE ^ EXP mod MOD
- */
-void
-gcry_mpi_powm( MPI res, MPI base, MPI exp, MPI mod)
-{
- mpi_ptr_t rp, ep, mp, bp;
- mpi_size_t esize, msize, bsize, rsize;
- int esign, msign, bsign, rsign;
- int esec, msec, bsec, rsec;
- mpi_size_t size;
- int mod_shift_cnt;
- int negative_result;
- mpi_ptr_t mp_marker=NULL, bp_marker=NULL, ep_marker=NULL;
- mpi_ptr_t xp_marker=NULL;
- int assign_rp=0;
- mpi_ptr_t tspace = NULL;
- mpi_size_t tsize=0; /* to avoid compiler warning */
- /* fixme: we should check that the warning is void*/
-
- esize = exp->nlimbs;
- msize = mod->nlimbs;
- size = 2 * msize;
- esign = exp->sign;
- msign = mod->sign;
-
- esec = mpi_is_secure(exp);
- msec = mpi_is_secure(mod);
- bsec = mpi_is_secure(base);
- rsec = mpi_is_secure(res);
-
- rp = res->d;
- ep = exp->d;
-
- if( !msize )
- msize = 1 / msize; /* provoke a signal */
-
- if( !esize ) {
- /* Exponent is zero, result is 1 mod MOD, i.e., 1 or 0
- * depending on if MOD equals 1. */
- rp[0] = 1;
- res->nlimbs = (msize == 1 && mod->d[0] == 1) ? 0 : 1;
- res->sign = 0;
- goto leave;
- }
-
- /* Normalize MOD (i.e. make its most significant bit set) as required by
- * mpn_divrem. This will make the intermediate values in the calculation
- * slightly larger, but the correct result is obtained after a final
- * reduction using the original MOD value. */
- mp = mp_marker = mpi_alloc_limb_space(msize, msec);
- count_leading_zeros( mod_shift_cnt, mod->d[msize-1] );
- if( mod_shift_cnt )
- mpihelp_lshift( mp, mod->d, msize, mod_shift_cnt );
- else
- MPN_COPY( mp, mod->d, msize );
-
- bsize = base->nlimbs;
- bsign = base->sign;
- if( bsize > msize ) { /* The base is larger than the module. Reduce it. */
- /* Allocate (BSIZE + 1) with space for remainder and quotient.
- * (The quotient is (bsize - msize + 1) limbs.) */
- bp = bp_marker = mpi_alloc_limb_space( bsize + 1, bsec );
- MPN_COPY( bp, base->d, bsize );
- /* We don't care about the quotient, store it above the remainder,
- * at BP + MSIZE. */
- mpihelp_divrem( bp + msize, 0, bp, bsize, mp, msize );
- bsize = msize;
- /* Canonicalize the base, since we are going to multiply with it
- * quite a few times. */
- MPN_NORMALIZE( bp, bsize );
- }
- else
- bp = base->d;
-
- if( !bsize ) {
- res->nlimbs = 0;
- res->sign = 0;
- goto leave;
- }
-
- if( res->alloced < size ) {
- /* We have to allocate more space for RES. If any of the input
- * parameters are identical to RES, defer deallocation of the old
- * space. */
- if( rp == ep || rp == mp || rp == bp ) {
- rp = mpi_alloc_limb_space( size, rsec );
- assign_rp = 1;
- }
- else {
- mpi_resize( res, size );
- rp = res->d;
- }
- }
- else { /* Make BASE, EXP and MOD not overlap with RES. */
- if( rp == bp ) {
- /* RES and BASE are identical. Allocate temp. space for BASE. */
- assert( !bp_marker );
- bp = bp_marker = mpi_alloc_limb_space( bsize, bsec );
- MPN_COPY(bp, rp, bsize);
- }
- if( rp == ep ) {
- /* RES and EXP are identical. Allocate temp. space for EXP. */
- ep = ep_marker = mpi_alloc_limb_space( esize, esec );
- MPN_COPY(ep, rp, esize);
- }
- if( rp == mp ) {
- /* RES and MOD are identical. Allocate temporary space for MOD.*/
- assert( !mp_marker );
- mp = mp_marker = mpi_alloc_limb_space( msize, msec );
- MPN_COPY(mp, rp, msize);
- }
- }
-
- MPN_COPY( rp, bp, bsize );
- rsize = bsize;
- rsign = bsign;
-
- {
- mpi_size_t i;
- mpi_ptr_t xp = xp_marker = mpi_alloc_limb_space( 2 * (msize + 1), msec );
- int c;
- mpi_limb_t e;
- mpi_limb_t carry_limb;
- struct karatsuba_ctx karactx;
-
- memset( &karactx, 0, sizeof karactx );
- negative_result = (ep[0] & 1) && base->sign;
-
- i = esize - 1;
- e = ep[i];
- count_leading_zeros (c, e);
- e = (e << c) << 1; /* shift the exp bits to the left, lose msb */
- c = BITS_PER_MPI_LIMB - 1 - c;
-
- /* Main loop.
- *
- * Make the result be pointed to alternately by XP and RP. This
- * helps us avoid block copying, which would otherwise be necessary
- * with the overlap restrictions of mpihelp_divmod. With 50% probability
- * the result after this loop will be in the area originally pointed
- * by RP (==RES->d), and with 50% probability in the area originally
- * pointed to by XP.
- */
-
- for(;;) {
- while( c ) {
- mpi_ptr_t tp;
- mpi_size_t xsize;
-
- /*mpihelp_mul_n(xp, rp, rp, rsize);*/
- if( rsize < KARATSUBA_THRESHOLD )
- mpih_sqr_n_basecase( xp, rp, rsize );
- else {
- if( !tspace ) {
- tsize = 2 * rsize;
- tspace = mpi_alloc_limb_space( tsize, 0 );
- }
- else if( tsize < (2*rsize) ) {
- mpi_free_limb_space( tspace );
- tsize = 2 * rsize;
- tspace = mpi_alloc_limb_space( tsize, 0 );
- }
- mpih_sqr_n( xp, rp, rsize, tspace );
- }
-
- xsize = 2 * rsize;
- if( xsize > msize ) {
- mpihelp_divrem(xp + msize, 0, xp, xsize, mp, msize);
- xsize = msize;
- }
-
- tp = rp; rp = xp; xp = tp;
- rsize = xsize;
-
- if( (mpi_limb_signed_t)e < 0 ) {
- /*mpihelp_mul( xp, rp, rsize, bp, bsize );*/
- if( bsize < KARATSUBA_THRESHOLD ) {
- mpihelp_mul( xp, rp, rsize, bp, bsize );
- }
- else {
- mpihelp_mul_karatsuba_case(
- xp, rp, rsize, bp, bsize, &karactx );
- }
-
- xsize = rsize + bsize;
- if( xsize > msize ) {
- mpihelp_divrem(xp + msize, 0, xp, xsize, mp, msize);
- xsize = msize;
- }
-
- tp = rp; rp = xp; xp = tp;
- rsize = xsize;
- }
- e <<= 1;
- c--;
- }
-
- i--;
- if( i < 0 )
- break;
- e = ep[i];
- c = BITS_PER_MPI_LIMB;
- }
-
- /* We shifted MOD, the modulo reduction argument, left MOD_SHIFT_CNT
- * steps. Adjust the result by reducing it with the original MOD.
- *
- * Also make sure the result is put in RES->d (where it already
- * might be, see above).
- */
- if( mod_shift_cnt ) {
- carry_limb = mpihelp_lshift( res->d, rp, rsize, mod_shift_cnt);
- rp = res->d;
- if( carry_limb ) {
- rp[rsize] = carry_limb;
- rsize++;
- }
- }
- else {
- MPN_COPY( res->d, rp, rsize);
- rp = res->d;
- }
-
- if( rsize >= msize ) {
- mpihelp_divrem(rp + msize, 0, rp, rsize, mp, msize);
- rsize = msize;
- }
-
- /* Remove any leading zero words from the result. */
- if( mod_shift_cnt )
- mpihelp_rshift( rp, rp, rsize, mod_shift_cnt);
- MPN_NORMALIZE (rp, rsize);
-
- mpihelp_release_karatsuba_ctx( &karactx );
- }
-
- if( negative_result && rsize ) {
- if( mod_shift_cnt )
- mpihelp_rshift( mp, mp, msize, mod_shift_cnt);
- mpihelp_sub( rp, mp, msize, rp, rsize);
- rsize = msize;
- rsign = msign;
- MPN_NORMALIZE(rp, rsize);
- }
- res->nlimbs = rsize;
- res->sign = rsign;
-
- leave:
- if( assign_rp ) mpi_assign_limb_space( res, rp, size );
- if( mp_marker ) mpi_free_limb_space( mp_marker );
- if( bp_marker ) mpi_free_limb_space( bp_marker );
- if( ep_marker ) mpi_free_limb_space( ep_marker );
- if( xp_marker ) mpi_free_limb_space( xp_marker );
- if( tspace ) mpi_free_limb_space( tspace );
-}
-