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-rw-r--r--mpi/mpi-inv.c270
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diff --git a/mpi/mpi-inv.c b/mpi/mpi-inv.c
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--- a/mpi/mpi-inv.c
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-/* mpi-inv.c - MPI functions
- * Copyright (C) 1998, 1999, 2000, 2001 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
- */
-
-#include <config.h>
-#include <stdio.h>
-#include <stdlib.h>
-#include "mpi-internal.h"
-
-
-/****************
- * Calculate the multiplicative inverse X of A mod N
- * That is: Find the solution x for
- * 1 = (a*x) mod n
- */
-void
-mpi_invm( MPI x, MPI a, MPI n )
-{
- #if 0
- MPI u, v, u1, u2, u3, v1, v2, v3, q, t1, t2, t3;
- MPI ta, tb, tc;
-
- u = mpi_copy(a);
- v = mpi_copy(n);
- u1 = mpi_alloc_set_ui(1);
- u2 = mpi_alloc_set_ui(0);
- u3 = mpi_copy(u);
- v1 = mpi_alloc_set_ui(0);
- v2 = mpi_alloc_set_ui(1);
- v3 = mpi_copy(v);
- q = mpi_alloc( mpi_get_nlimbs(u)+1 );
- t1 = mpi_alloc( mpi_get_nlimbs(u)+1 );
- t2 = mpi_alloc( mpi_get_nlimbs(u)+1 );
- t3 = mpi_alloc( mpi_get_nlimbs(u)+1 );
- while( mpi_cmp_ui( v3, 0 ) ) {
- mpi_fdiv_q( q, u3, v3 );
- mpi_mul(t1, v1, q); mpi_mul(t2, v2, q); mpi_mul(t3, v3, q);
- mpi_sub(t1, u1, t1); mpi_sub(t2, u2, t2); mpi_sub(t3, u3, t3);
- mpi_set(u1, v1); mpi_set(u2, v2); mpi_set(u3, v3);
- mpi_set(v1, t1); mpi_set(v2, t2); mpi_set(v3, t3);
- }
- /* log_debug("result:\n");
- log_mpidump("q =", q );
- log_mpidump("u1=", u1);
- log_mpidump("u2=", u2);
- log_mpidump("u3=", u3);
- log_mpidump("v1=", v1);
- log_mpidump("v2=", v2); */
- mpi_set(x, u1);
-
- mpi_free(u1);
- mpi_free(u2);
- mpi_free(u3);
- mpi_free(v1);
- mpi_free(v2);
- mpi_free(v3);
- mpi_free(q);
- mpi_free(t1);
- mpi_free(t2);
- mpi_free(t3);
- mpi_free(u);
- mpi_free(v);
- #elif 0
- /* Extended Euclid's algorithm (See TAOPC Vol II, 4.5.2, Alg X)
- * modified according to Michael Penk's solution for Exercice 35 */
-
- /* FIXME: we can simplify this in most cases (see Knuth) */
- MPI u, v, u1, u2, u3, v1, v2, v3, t1, t2, t3;
- unsigned k;
- int sign;
-
- u = mpi_copy(a);
- v = mpi_copy(n);
- for(k=0; !mpi_test_bit(u,0) && !mpi_test_bit(v,0); k++ ) {
- mpi_rshift(u, u, 1);
- mpi_rshift(v, v, 1);
- }
-
-
- u1 = mpi_alloc_set_ui(1);
- u2 = mpi_alloc_set_ui(0);
- u3 = mpi_copy(u);
- v1 = mpi_copy(v); /* !-- used as const 1 */
- v2 = mpi_alloc( mpi_get_nlimbs(u) ); mpi_sub( v2, u1, u );
- v3 = mpi_copy(v);
- if( mpi_test_bit(u, 0) ) { /* u is odd */
- t1 = mpi_alloc_set_ui(0);
- t2 = mpi_alloc_set_ui(1); t2->sign = 1;
- t3 = mpi_copy(v); t3->sign = !t3->sign;
- goto Y4;
- }
- else {
- t1 = mpi_alloc_set_ui(1);
- t2 = mpi_alloc_set_ui(0);
- t3 = mpi_copy(u);
- }
- do {
- do {
- if( mpi_test_bit(t1, 0) || mpi_test_bit(t2, 0) ) { /* one is odd */
- mpi_add(t1, t1, v);
- mpi_sub(t2, t2, u);
- }
- mpi_rshift(t1, t1, 1);
- mpi_rshift(t2, t2, 1);
- mpi_rshift(t3, t3, 1);
- Y4:
- ;
- } while( !mpi_test_bit( t3, 0 ) ); /* while t3 is even */
-
- if( !t3->sign ) {
- mpi_set(u1, t1);
- mpi_set(u2, t2);
- mpi_set(u3, t3);
- }
- else {
- mpi_sub(v1, v, t1);
- sign = u->sign; u->sign = !u->sign;
- mpi_sub(v2, u, t2);
- u->sign = sign;
- sign = t3->sign; t3->sign = !t3->sign;
- mpi_set(v3, t3);
- t3->sign = sign;
- }
- mpi_sub(t1, u1, v1);
- mpi_sub(t2, u2, v2);
- mpi_sub(t3, u3, v3);
- if( t1->sign ) {
- mpi_add(t1, t1, v);
- mpi_sub(t2, t2, u);
- }
- } while( mpi_cmp_ui( t3, 0 ) ); /* while t3 != 0 */
- /* mpi_lshift( u3, k ); */
- mpi_set(x, u1);
-
- mpi_free(u1);
- mpi_free(u2);
- mpi_free(u3);
- mpi_free(v1);
- mpi_free(v2);
- mpi_free(v3);
- mpi_free(t1);
- mpi_free(t2);
- mpi_free(t3);
- #else
- /* Extended Euclid's algorithm (See TAOPC Vol II, 4.5.2, Alg X)
- * modified according to Michael Penk's solution for Exercice 35
- * with further enhancement */
- MPI u, v, u1, u2=NULL, u3, v1, v2=NULL, v3, t1, t2=NULL, t3;
- unsigned k;
- int sign;
- int odd ;
-
- u = mpi_copy(a);
- v = mpi_copy(n);
-
- for(k=0; !mpi_test_bit(u,0) && !mpi_test_bit(v,0); k++ ) {
- mpi_rshift(u, u, 1);
- mpi_rshift(v, v, 1);
- }
- odd = mpi_test_bit(v,0);
-
- u1 = mpi_alloc_set_ui(1);
- if( !odd )
- u2 = mpi_alloc_set_ui(0);
- u3 = mpi_copy(u);
- v1 = mpi_copy(v);
- if( !odd ) {
- v2 = mpi_alloc( mpi_get_nlimbs(u) );
- mpi_sub( v2, u1, u ); /* U is used as const 1 */
- }
- v3 = mpi_copy(v);
- if( mpi_test_bit(u, 0) ) { /* u is odd */
- t1 = mpi_alloc_set_ui(0);
- if( !odd ) {
- t2 = mpi_alloc_set_ui(1); t2->sign = 1;
- }
- t3 = mpi_copy(v); t3->sign = !t3->sign;
- goto Y4;
- }
- else {
- t1 = mpi_alloc_set_ui(1);
- if( !odd )
- t2 = mpi_alloc_set_ui(0);
- t3 = mpi_copy(u);
- }
- do {
- do {
- if( !odd ) {
- if( mpi_test_bit(t1, 0) || mpi_test_bit(t2, 0) ) { /* one is odd */
- mpi_add(t1, t1, v);
- mpi_sub(t2, t2, u);
- }
- mpi_rshift(t1, t1, 1);
- mpi_rshift(t2, t2, 1);
- mpi_rshift(t3, t3, 1);
- }
- else {
- if( mpi_test_bit(t1, 0) )
- mpi_add(t1, t1, v);
- mpi_rshift(t1, t1, 1);
- mpi_rshift(t3, t3, 1);
- }
- Y4:
- ;
- } while( !mpi_test_bit( t3, 0 ) ); /* while t3 is even */
-
- if( !t3->sign ) {
- mpi_set(u1, t1);
- if( !odd )
- mpi_set(u2, t2);
- mpi_set(u3, t3);
- }
- else {
- mpi_sub(v1, v, t1);
- sign = u->sign; u->sign = !u->sign;
- if( !odd )
- mpi_sub(v2, u, t2);
- u->sign = sign;
- sign = t3->sign; t3->sign = !t3->sign;
- mpi_set(v3, t3);
- t3->sign = sign;
- }
- mpi_sub(t1, u1, v1);
- if( !odd )
- mpi_sub(t2, u2, v2);
- mpi_sub(t3, u3, v3);
- if( t1->sign ) {
- mpi_add(t1, t1, v);
- if( !odd )
- mpi_sub(t2, t2, u);
- }
- } while( mpi_cmp_ui( t3, 0 ) ); /* while t3 != 0 */
- /* mpi_lshift( u3, k ); */
- mpi_set(x, u1);
-
- mpi_free(u1);
- mpi_free(v1);
- mpi_free(t1);
- if( !odd ) {
- mpi_free(u2);
- mpi_free(v2);
- mpi_free(t2);
- }
- mpi_free(u3);
- mpi_free(v3);
- mpi_free(t3);
-
- mpi_free(u);
- mpi_free(v);
- #endif
-}
-
-
-