+++ /dev/null
-/*
-
- modinv.h
-
- Author: Pekka Riikonen <priikone@silcnet.org>
-
- Copyright (C) 1997 - 2005 Pekka Riikonen
-
- This program 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; version 2 of the License.
-
- This program 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.
-
-*/
-/* $Id$ */
-
-#include "silc.h"
-
-/* Table for finding multiplicative inverse */
-typedef struct {
- SilcMPInt x;
-} ModInv;
-
-#define plus1 (i == 2 ? 0 : i + 1)
-#define minus1 (i == 0 ? 2 : i - 1)
-
-/* Find multiplicative inverse using Euclid's extended algorithm.
- Computes inverse such that a * inv mod n = 1, where 0 < a < n.
- Algorithm goes like this:
-
- g(0) = n v(0) = 0
- g(1) = a v(1) = 1
-
- y = g(i-1) / g(i)
- g(i+1) = g(i-1) - y * g(i) = g(i)-1 mod g(i)
- v(i+1) = v(i-1) - y * v(i)
-
- do until g(i) = 0, then inverse = v(i-1). If inverse is negative then n,
- is added to inverse making it positive again. (Sometimes the algorithm
- has a variable u defined too and it behaves just like v, except that
- initalize values are swapped (i.e. u(0) = 1, u(1) = 0). However, u is
- not needed by the algorithm so it does not have to be included.)
-*/
-
-void silc_mp_modinv(SilcMPInt *inv, SilcMPInt *a, SilcMPInt *n)
-{
- int i;
- SilcMPInt y;
- SilcMPInt x;
-
- ModInv g[3];
- ModInv v[3];
-
- /* init MP vars */
- silc_mp_init(&y);
- silc_mp_init(&x);
- silc_mp_init(&v[0].x);
- silc_mp_init(&v[1].x);
- silc_mp_set_ui(&v[0].x, 0L); /* v(0) = 0 */
- silc_mp_set_ui(&v[1].x, 1L); /* v(1) = 1 */
- silc_mp_init(&v[2].x);
- silc_mp_init(&g[0].x);
- silc_mp_init(&g[1].x);
- silc_mp_set(&g[0].x, n); /* g(0) = n */
- silc_mp_set(&g[1].x, a); /* g(1) = a */
- silc_mp_init(&g[2].x);
-
- i = 1;
- while(silc_mp_cmp_ui(&g[i].x, 0) != 0) {
- silc_mp_div(&y, &g[minus1].x, &g[i].x); /* y = n / a */
- silc_mp_mod(&g[plus1].x, &g[minus1].x, &g[i].x); /* remainder */
- silc_mp_mul(&x, &y, &v[i].x);
- silc_mp_set(&v[plus1].x, &v[minus1].x);
- silc_mp_sub(&v[plus1].x, &v[plus1].x, &x);
- i = plus1;
- }
-
- /* set the inverse */
- silc_mp_set(inv, &v[minus1].x);
-
- /* if inverse is negative, add n to inverse */
- if (silc_mp_cmp_ui(inv, 0) < 0)
- silc_mp_add(inv, inv, n);
-
- /* clear the vars */
- memset(&g, 0, sizeof(g));
- memset(&v, 0, sizeof(v));
- silc_mp_uninit(&y);
- silc_mp_uninit(&x);
- silc_mp_uninit(&g[0].x);
- silc_mp_uninit(&g[1].x);
- silc_mp_uninit(&g[2].x);
- silc_mp_uninit(&v[0].x);
- silc_mp_uninit(&v[1].x);
- silc_mp_uninit(&v[2].x);
-}