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authorWerner Koch <wk@gnupg.org>1997-11-18 14:05:56 +0000
committerWerner Koch <wk@gnupg.org>1997-11-18 14:05:56 +0000
commit4b5e71ca4e84e61e595dec19e1c7cab0c0a73f24 (patch)
treecfa374507b08344f49f28814c67f058723a485d4 /mpi/mpi-inv.c
parent539284b719a82a79e3d3bba68de85581ea8f77f1 (diff)
downloadlibgcrypt-4b5e71ca4e84e61e595dec19e1c7cab0c0a73f24.tar.gz
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+/* mpi-inv.c - MPI functions
+ * Copyright (c) 1997 by Werner Koch (dd9jn)
+ *
+ * This file is part of G10.
+ *
+ * G10 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.
+ *
+ * G10 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 U mod V
+ * That is: Find the solution for
+ * 1 = (u*x) mod v
+ * This has only a unique solution if U and V are relatively prime.
+ * Returns 0 if a solution was found.
+ */
+int
+mpi_inv_mod( MPI x, MPI u, MPI v )
+{
+ #if 0
+ /* Extended Euclid's algorithm (See TAOPC Vol II, 4.52. Alg X) */
+ MPI u1, u2, u3, v1, v2, v3, q, t1, t2, t3;
+
+ 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) );
+ t1 = mpi_alloc( mpi_get_nlimbs(u) );
+ t2 = mpi_alloc( mpi_get_nlimbs(u) );
+ t3 = mpi_alloc( mpi_get_nlimbs(u) );
+ while( mpi_cmp_ui( v3, 0 ) ) {
+ /*log_debug("----------------------\n");
+ log_mpidump("q =", u1);
+ log_mpidump("u1=", u1);
+ log_mpidump("u2=", u2);
+ log_mpidump("u3=", u3);
+ log_mpidump("v1=", v1);
+ log_mpidump("v2=", v2);
+ log_mpidump("v3=", v3); */
+ 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);
+ }
+ mpi_set(x, u3);
+
+ 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);
+ #endif
+
+ /*****************************
+ * 1. Init: g0 = u g1 = v v0 = 0 v1 = 1
+ * 2. Test: if g1 is 0 terminate. Result = v0 < 0: v0 + n
+ * else: v0
+ * 3. Divide: div,rem = g0 / g1
+ * t1 = v0 - div * v1
+ * v0 = v1
+ * v1 = t1
+ * g0 = g1
+ * g1 = rem
+ * continue with step 2.
+ */
+ MPI g0, g1, v0, v1, div, rem, t1;
+
+ g0 = mpi_copy(v);
+ g1 = mpi_copy(u);
+ v0 = mpi_alloc_set_ui( 0 );
+ v1 = mpi_alloc_set_ui( 1 );
+ div = mpi_alloc(mpi_get_nlimbs(v));
+ rem = mpi_alloc(mpi_get_nlimbs(v));
+ t1 = mpi_alloc(mpi_get_nlimbs(v));
+ while( mpi_cmp_ui( g1, 0) ) {
+ mpi_fdiv_qr(div, rem, g0, g1);
+ mpi_mul(t1, div, v1);
+ mpi_sub(t1, v0, t1);
+ mpi_set(v0, v1);
+ mpi_set(v1, t1);
+ mpi_set(g0, g1);
+ mpi_set(g1, rem);
+
+ }
+ if( mpi_cmp_ui( v0, 0) < 0 )
+ mpi_add( x, v0, v);
+ else
+ mpi_set( x, v0);
+
+ mpi_free(g0);
+ mpi_free(g1);
+ mpi_free(v0);
+ mpi_free(v1);
+ mpi_free(div);
+ mpi_free(rem);
+ mpi_free(t1);
+ return 0;
+}
+
+
+