3 * $Id: rabin.h,v 1.2 1999/12/10 23:29:48 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 1.2 1999/12/10 23:29:48 mdw
34 * Change header file guard names.
36 * Revision 1.1 1999/11/19 13:17:57 mdw
37 * Prime number generator and tester.
41 #ifndef CATACOMB_RABIN_H
42 #define CATACOMB_RABIN_H
48 /*----- Header files ------------------------------------------------------*/
54 #ifndef CATACOMB_MPMONT_H
58 #ifndef CATACOMB_PGEN_H
62 /*----- Data structures ---------------------------------------------------*/
64 typedef struct rabin
{
65 mpmont mm
; /* Montgomery arithmetic context */
66 size_t s
; /* %$m = 2^s r + 1$% */
67 mp
*r
; /* %$m = 2^s r + 1$% */
68 mp
*m1
; /* %$(m - 1)R \bmod m */
71 /*----- Functions provided ------------------------------------------------*/
73 /* --- @rabin_create@ --- *
75 * Arguments: @rabin *r@ = pointer to Rabin-Miller context
76 * @mp *m@ = pointer to number to test
80 * Use: Precomputes some useful values for performing the
81 * Miller-Rabin probabilistic primality test.
84 extern void rabin_create(rabin */
*r*/
, mp */
*m*/
);
86 /* --- @rabin_destroy@ --- *
88 * Arguments: @rabin *r@ = pointer to Rabin-Miller context
92 * Use: Disposes of a Rabin-Miller context when it's no longer
96 extern void rabin_destroy(rabin */
*r*/
);
98 /* --- @rabin_test@ --- *
100 * Arguments: @rabin *r@ = pointer to Rabin-Miller context
101 * @mp *g@ = base to test the number against
103 * Returns: Either @PGEN_COMPOSITE@ if the test failed, or @PGEN_MAYBE@
106 * Use: Performs a single iteration of the Rabin-Miller primality
110 extern int rabin_test(rabin */
*r*/
, mp */
*g*/
);
112 /*----- That's all, folks -------------------------------------------------*/