3 * $Id: rabin.h,v 1.1 1999/11/19 13:17:57 mdw Exp $
5 * Miller-Rabin primality test
7 * (c) 1999 Straylight/Edgeware
10 /*----- Licensing notice --------------------------------------------------*
12 * This file is part of Catacomb.
14 * Catacomb is free software; you can redistribute it and/or modify
15 * it under the terms of the GNU Library General Public License as
16 * published by the Free Software Foundation; either version 2 of the
17 * License, or (at your option) any later version.
19 * Catacomb is distributed in the hope that it will be useful,
20 * but WITHOUT ANY WARRANTY; without even the implied warranty of
21 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
22 * GNU Library General Public License for more details.
24 * You should have received a copy of the GNU Library General Public
25 * License along with Catacomb; if not, write to the Free
26 * Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
30 /*----- Revision history --------------------------------------------------*
33 * Revision 1.1 1999/11/19 13:17:57 mdw
34 * Prime number generator and tester.
45 /*----- Header files ------------------------------------------------------*/
59 /*----- Data structures ---------------------------------------------------*/
61 typedef struct rabin
{
62 mpmont mm
; /* Montgomery arithmetic context */
63 size_t s
; /* %$m = 2^s r + 1$% */
64 mp
*r
; /* %$m = 2^s r + 1$% */
65 mp
*m1
; /* %$(m - 1)R \bmod m */
68 /*----- Functions provided ------------------------------------------------*/
70 /* --- @rabin_create@ --- *
72 * Arguments: @rabin *r@ = pointer to Rabin-Miller context
73 * @mp *m@ = pointer to number to test
77 * Use: Precomputes some useful values for performing the
78 * Miller-Rabin probabilistic primality test.
81 extern void rabin_create(rabin */
*r*/
, mp */
*m*/
);
83 /* --- @rabin_destroy@ --- *
85 * Arguments: @rabin *r@ = pointer to Rabin-Miller context
89 * Use: Disposes of a Rabin-Miller context when it's no longer
93 extern void rabin_destroy(rabin */
*r*/
);
95 /* --- @rabin_test@ --- *
97 * Arguments: @rabin *r@ = pointer to Rabin-Miller context
98 * @mp *g@ = base to test the number against
100 * Returns: Either @PGEN_COMPOSITE@ if the test failed, or @PGEN_MAYBE@
103 * Use: Performs a single iteration of the Rabin-Miller primality
107 extern int rabin_test(rabin */
*r*/
, mp */
*g*/
);
109 /*----- That's all, folks -------------------------------------------------*/