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1 | /* -*-c-*- |
2 | * |
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3 | * $Id$ |
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4 | * |
5 | * Miller-Rabin primality test |
6 | * |
7 | * (c) 1999 Straylight/Edgeware |
8 | */ |
9 | |
10 | /*----- Licensing notice --------------------------------------------------* |
11 | * |
12 | * This file is part of Catacomb. |
13 | * |
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. |
18 | * |
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. |
23 | * |
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, |
27 | * MA 02111-1307, USA. |
28 | */ |
29 | |
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30 | #ifndef CATACOMB_RABIN_H |
31 | #define CATACOMB_RABIN_H |
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32 | |
33 | #ifdef __cplusplus |
34 | extern "C" { |
35 | #endif |
36 | |
37 | /*----- Header files ------------------------------------------------------*/ |
38 | |
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39 | #ifndef CATACOMB_MP_H |
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40 | # include "mp.h" |
41 | #endif |
42 | |
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43 | #ifndef CATACOMB_MPMONT_H |
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44 | # include "mpmont.h" |
45 | #endif |
46 | |
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47 | #ifndef CATACOMB_PFILT_H |
48 | # include "pfilt.h" |
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49 | #endif |
50 | |
51 | /*----- Data structures ---------------------------------------------------*/ |
52 | |
53 | typedef struct rabin { |
54 | mpmont mm; /* Montgomery arithmetic context */ |
55 | size_t s; /* %$m = 2^s r + 1$% */ |
56 | mp *r; /* %$m = 2^s r + 1$% */ |
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57 | mp *m1; /* %$(m - 1)R \bmod m$% */ |
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58 | } rabin; |
59 | |
60 | /*----- Functions provided ------------------------------------------------*/ |
61 | |
62 | /* --- @rabin_create@ --- * |
63 | * |
64 | * Arguments: @rabin *r@ = pointer to Rabin-Miller context |
65 | * @mp *m@ = pointer to number to test |
66 | * |
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67 | * Returns: Zero on success, nonzero for failure. |
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68 | * |
69 | * Use: Precomputes some useful values for performing the |
70 | * Miller-Rabin probabilistic primality test. |
71 | */ |
72 | |
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73 | extern int rabin_create(rabin */*r*/, mp */*m*/); |
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74 | |
75 | /* --- @rabin_destroy@ --- * |
76 | * |
77 | * Arguments: @rabin *r@ = pointer to Rabin-Miller context |
78 | * |
79 | * Returns: --- |
80 | * |
81 | * Use: Disposes of a Rabin-Miller context when it's no longer |
82 | * needed. |
83 | */ |
84 | |
85 | extern void rabin_destroy(rabin */*r*/); |
86 | |
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87 | /* --- @rabin_test@, @rabin_rtest@ --- * |
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88 | * |
89 | * Arguments: @rabin *r@ = pointer to Rabin-Miller context |
90 | * @mp *g@ = base to test the number against |
91 | * |
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92 | * Returns: Either @PGEN_FAIL@ if the test failed, or @PGEN_PASS@ |
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93 | * if it succeeded. |
94 | * |
95 | * Use: Performs a single iteration of the Rabin-Miller primality |
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96 | * test. The @rtest@ variant assumes that %$g$% is either |
97 | * already in Montgomery representation, or you don't care. |
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98 | */ |
99 | |
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100 | extern int rabin_rtest(rabin */*r*/, mp */*g*/); |
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101 | extern int rabin_test(rabin */*r*/, mp */*g*/); |
102 | |
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103 | /* --- @rabin_iters@ --- * |
104 | * |
105 | * Arguments: @unsigned len@ = number of bits in value |
106 | * |
107 | * Returns: Number of iterations recommended. |
108 | * |
109 | * Use: Returns the recommended number of iterations to ensure that a |
110 | * number with @len@ bits is really prime. |
111 | */ |
112 | |
113 | extern int rabin_iters(unsigned /*len*/); |
114 | |
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115 | /*----- That's all, folks -------------------------------------------------*/ |
116 | |
117 | #ifdef __cplusplus |
118 | } |
119 | #endif |
120 | |
121 | #endif |