Pollard's rho algorithm for computing discrete logs.
[u/mdw/catacomb] / dh-gen.c
1 /* -*-c-*-
2 *
3 * $Id: dh-gen.c,v 1.1 2000/02/12 18:21:02 mdw Exp $
4 *
5 * Generate Diffie-Hellman parameters
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
30 /*----- Revision history --------------------------------------------------*
31 *
32 * $Log: dh-gen.c,v $
33 * Revision 1.1 2000/02/12 18:21:02 mdw
34 * Overhaul of key management (again).
35 *
36 */
37
38 /*----- Header files ------------------------------------------------------*/
39
40 #include "dh.h"
41 #include "grand.h"
42 #include "mp.h"
43 #include "mpmont.h"
44 #include "mprand.h"
45 #include "pfilt.h"
46 #include "pgen.h"
47 #include "prim.h"
48 #include "rabin.h"
49
50 /*----- Main code ---------------------------------------------------------*/
51
52 /* --- @dh_gen@ --- *
53 *
54 * Arguments: @dh_param *dp@ = pointer to output parameter block
55 * @unsigned ql@ = length of %$q$% in bits, or zero
56 * @unsigned pl@ = length of %$p$% in bits
57 * @unsigned steps@ = number of steps to go
58 * @grand *r@ = random number source
59 * @pgen_proc *event@ = event handler function
60 * @void *ectx@ = argument for the event handler
61 *
62 * Returns: @PGEN_DONE@ if it worked, @PGEN_ABORT@ if it didn't.
63 *
64 * Use: Generates Diffie-Hellman parameters.
65 *
66 * The parameters are a prime %$q$%, relatively small, and a
67 * large prime %$p = kq + 1$% for some %$k$%, together with a
68 * generator %$g$% of the cyclic subgroup of order %$q$%. These
69 * are actually the same as the DSA parameter set, but the
70 * generation algorithm is different. Also, if @ql@ is zero,
71 * this algorithm forces %$k = 2$%, and chooses %$g = 4$%. Make
72 * sure you have something interesting to do if you choose this
73 * option.
74 */
75
76 int dh_gen(dh_param *dp, unsigned ql, unsigned pl, unsigned steps, grand *r,
77 pgen_proc *event, void *ectx)
78 {
79 /* --- If @ql@ is zero, do the time consuming safe-prime thing --- */
80
81 if (!ql) {
82 pgen_safetestctx c;
83
84 mp *m = mprand(MP_NEW, pl, r, 3);
85 dp->p = pgen("p", MP_NEW, m, event, ectx, steps, pgen_safestep, &c.c,
86 rabin_iters(pl), pgen_safetest, &c);
87 mp_drop(m);
88 if (!dp->p)
89 return (PGEN_ABORT);
90 dp->q = mp_lsr(MP_NEW, dp->p, 1);
91 dp->g = MP_FOUR;
92 return (PGEN_DONE);
93 }
94
95 /* --- Otherwise the job is much simpler --- *
96 *
97 * But doesn't look it...
98 */
99
100 else {
101 pgen_filterctx c;
102 pgen_jumpctx j;
103 rabin rb;
104 prim_ctx p;
105 int i;
106 mp *m = MP_NEW;
107 mp *x, *y;
108
109 /* --- Generate @q@ first --- */
110
111 c.step = 2;
112 m = mprand(MP_NEW, ql, r, 1);
113 dp->q = pgen("q", MP_NEW, m, event, ectx, steps, pgen_filter, &c,
114 rabin_iters(ql), pgen_test, &rb);
115 if (!dp->q)
116 goto fail_q;
117
118 /* --- Now pick a suitable @p@ --- */
119
120 m = mp_lsl(m, dp->q, 1);
121 x = mprand(MP_NEW, pl, r, 0);
122 y = MP_NEW; mp_div(0, &y, x, m);
123 x = mp_sub(x, x, y);
124 x = mp_add(x, x, MP_ONE);
125 mp_drop(y);
126 pfilt_create(&c.f, m);
127 j.j = &c.f;
128 dp->p = pgen("p", MP_NEW, x, event, ectx, steps, pgen_jump, &j,
129 rabin_iters(pl), pgen_test, &rb);
130 pfilt_destroy(&c.f);
131 mp_drop(x);
132 if (!dp->p)
133 goto fail_p;
134
135 /* --- And finally a suitable @g@ --- */
136
137 mpmont_create(&p.mm, dp->p);
138 mp_div(&m, 0, dp->p, dp->q);
139 i = 0;
140 p.f = m;
141 p.n = 0;
142 dp->g = pgen("g", MP_NEW, MP_NEW, event, ectx, 0, prim_step, &i,
143 1, prim_test, &p);
144 mpmont_destroy(&p.mm);
145 if (!dp->g)
146 goto fail_g;
147 mp_drop(m);
148 return (PGEN_DONE);
149
150 /* --- Tidy up --- */
151
152 fail_g:
153 mp_drop(dp->q);
154 fail_q:
155 mp_drop(dp->p);
156 fail_p:
157 mp_drop(m);
158 return (PGEN_ABORT);
159 }
160 }
161
162 /*----- That's all, folks -------------------------------------------------*/