Mercurial > dropbear

annotate libtommath/bn_mp_prime_miller_rabin.c @ 691:e698d1a9f428

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Some changes since 2012.55
author Matt Johnston <matt@ucc.asn.au>
date Fri, 22 Feb 2013 23:54:47 +0800
parents 5ff8218bcee9
children 60fc6476e044
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
284
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parents:
diff changeset
1 #include <tommath.h>
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diff changeset
2 #ifdef BN_MP_PRIME_MILLER_RABIN_C
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diff changeset
3 /* LibTomMath, multiple-precision integer library -- Tom St Denis
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parents:
diff changeset
4 *
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parents:
diff changeset
5 * LibTomMath is a library that provides multiple-precision
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
6 * integer arithmetic as well as number theoretic functionality.
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
7 *
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
8 * The library was designed directly after the MPI library by
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
9 * Michael Fromberger but has been written from scratch with
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
10 * additional optimizations in place.
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
11 *
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
12 * The library is free for all purposes without any express
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
13 * guarantee it works.
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
14 *
389
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parents: 284
diff changeset
15 * Tom St Denis, [email protected], http://math.libtomcrypt.com
284
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parents:
diff changeset
16 */
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diff changeset
17
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
18 /* Miller-Rabin test of "a" to the base of "b" as described in
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
19 * HAC pp. 139 Algorithm 4.24
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
20 *
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
21 * Sets result to 0 if definitely composite or 1 if probably prime.
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
22 * Randomly the chance of error is no more than 1/4 and often
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
23 * very much lower.
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
24 */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
25 int mp_prime_miller_rabin (mp_int * a, mp_int * b, int *result)
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
26 {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
27 mp_int n1, y, r;
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Matt Johnston <matt@ucc.asn.au>
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diff changeset
28 int s, j, err;
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29
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
30 /* default */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
31 *result = MP_NO;
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Matt Johnston <matt@ucc.asn.au>
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32
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
33 /* ensure b > 1 */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
34 if (mp_cmp_d(b, 1) != MP_GT) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
35 return MP_VAL;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
36 }
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Matt Johnston <matt@ucc.asn.au>
parents:
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37
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
38 /* get n1 = a - 1 */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
39 if ((err = mp_init_copy (&n1, a)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
40 return err;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
41 }
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
42 if ((err = mp_sub_d (&n1, 1, &n1)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
43 goto LBL_N1;
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Matt Johnston <matt@ucc.asn.au>
parents:
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44 }
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
45
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
46 /* set 2**s * r = n1 */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
47 if ((err = mp_init_copy (&r, &n1)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
48 goto LBL_N1;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
49 }
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
50
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
51 /* count the number of least significant bits
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
52 * which are zero
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
53 */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
54 s = mp_cnt_lsb(&r);
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
55
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
56 /* now divide n - 1 by 2**s */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
57 if ((err = mp_div_2d (&r, s, &r, NULL)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
58 goto LBL_R;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
59 }
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
60
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
61 /* compute y = b**r mod a */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
62 if ((err = mp_init (&y)) != MP_OKAY) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
63 goto LBL_R;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
64 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
65 if ((err = mp_exptmod (b, &r, a, &y)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
66 goto LBL_Y;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
67 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
68
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
69 /* if y != 1 and y != n1 do */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
70 if (mp_cmp_d (&y, 1) != MP_EQ && mp_cmp (&y, &n1) != MP_EQ) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
71 j = 1;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
72 /* while j <= s-1 and y != n1 */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
73 while ((j <= (s - 1)) && mp_cmp (&y, &n1) != MP_EQ) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
74 if ((err = mp_sqrmod (&y, a, &y)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
75 goto LBL_Y;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
76 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
77
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
78 /* if y == 1 then composite */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
79 if (mp_cmp_d (&y, 1) == MP_EQ) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
80 goto LBL_Y;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
81 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
82
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
83 ++j;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
84 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
85
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
86 /* if y != n1 then composite */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
87 if (mp_cmp (&y, &n1) != MP_EQ) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
88 goto LBL_Y;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
89 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
90 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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91
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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92 /* probably prime now */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
93 *result = MP_YES;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
94 LBL_Y:mp_clear (&y);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
95 LBL_R:mp_clear (&r);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
96 LBL_N1:mp_clear (&n1);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
97 return err;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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98 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
99 #endif
389
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
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100
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
101 /* $Source: /cvs/libtom/libtommath/bn_mp_prime_miller_rabin.c,v $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
102 /* $Revision: 1.3 $ */
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
103 /* $Date: 2006/03/31 14:18:44 $ */