Mercurial > dropbear

annotate libtommath/bn_mp_is_square.c @ 1518:b222c027a733

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
group14-sha256 should be higher than group14-sha1
author Matt Johnston <matt@ucc.asn.au>
date Sun, 18 Feb 2018 22:47:51 +0800
parents 8bba51a55704
children f52919ffd3b1
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
1436
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
1 #include <tommath_private.h>
284
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diff changeset
2 #ifdef BN_MP_IS_SQUARE_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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diff changeset
6 * integer arithmetic as well as number theoretic functionality.
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parents:
diff changeset
7 *
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diff changeset
8 * The library was designed directly after the MPI library by
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diff changeset
9 * Michael Fromberger but has been written from scratch with
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parents:
diff changeset
10 * additional optimizations in place.
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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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parents:
diff changeset
13 * guarantee it works.
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
14 *
1436
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
15 * Tom St Denis, [email protected], http://libtom.org
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parents:
diff changeset
16 */
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diff changeset
17
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parents:
diff changeset
18 /* Check if remainders are possible squares - fast exclude non-squares */
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parents:
diff changeset
19 static const char rem_128[128] = {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
20 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
21 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
22 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
23 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
24 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
25 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
26 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
27 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1
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Matt Johnston <matt@ucc.asn.au>
parents:
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28 };
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parents:
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29
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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parents:
diff changeset
30 static const char rem_105[105] = {
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parents:
diff changeset
31 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1,
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Matt Johnston <matt@ucc.asn.au>
parents:
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32 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1,
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
33 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
34 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
35 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
36 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1,
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
37 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
38 };
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parents:
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39
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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parents:
diff changeset
40 /* Store non-zero to ret if arg is square, and zero if not */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
41 int mp_is_square(mp_int *arg,int *ret)
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parents:
diff changeset
42 {
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parents:
diff changeset
43 int res;
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parents:
diff changeset
44 mp_digit c;
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parents:
diff changeset
45 mp_int t;
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parents:
diff changeset
46 unsigned long r;
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47
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parents:
diff changeset
48 /* Default to Non-square :) */
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diff changeset
49 *ret = MP_NO;
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50
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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parents:
diff changeset
51 if (arg->sign == MP_NEG) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
52 return MP_VAL;
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parents:
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53 }
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parents:
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54
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
55 /* digits used? (TSD) */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
56 if (arg->used == 0) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
57 return MP_OKAY;
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Matt Johnston <matt@ucc.asn.au>
parents:
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58 }
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parents:
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59
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
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parents:
diff changeset
60 /* First check mod 128 (suppose that DIGIT_BIT is at least 7) */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
61 if (rem_128[127 & DIGIT(arg,0)] == 1) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
62 return MP_OKAY;
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parents:
diff changeset
63 }
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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 /* Next check mod 105 (3*5*7) */
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
66 if ((res = mp_mod_d(arg,105,&c)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
67 return res;
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 (rem_105[c] == 1) {
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
70 return MP_OKAY;
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
71 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
72
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
73
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
74 if ((res = mp_init_set_int(&t,11L*13L*17L*19L*23L*29L*31L)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
75 return res;
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 if ((res = mp_mod(arg,&t,&t)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
78 goto ERR;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
79 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
80 r = mp_get_int(&t);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
81 /* Check for other prime modules, note it's not an ERROR but we must
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Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
82 * free "t" so the easiest way is to goto ERR. We know that res
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
83 * is already equal to MP_OKAY from the mp_mod call
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
84 */
1436
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
85 if (((1L<<(r%11)) & 0x5C4L) != 0L) goto ERR;
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
86 if (((1L<<(r%13)) & 0x9E4L) != 0L) goto ERR;
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
87 if (((1L<<(r%17)) & 0x5CE8L) != 0L) goto ERR;
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
88 if (((1L<<(r%19)) & 0x4F50CL) != 0L) goto ERR;
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
89 if (((1L<<(r%23)) & 0x7ACCA0L) != 0L) goto ERR;
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
90 if (((1L<<(r%29)) & 0xC2EDD0CL) != 0L) goto ERR;
60fc6476e044 Update to libtommath v1.0
Matt Johnston <matt@ucc.asn.au>
parents: 389
diff changeset
91 if (((1L<<(r%31)) & 0x6DE2B848L) != 0L) goto ERR;
284
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
92
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
93 /* Final check - is sqr(sqrt(arg)) == arg ? */
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
94 if ((res = mp_sqrt(arg,&t)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
95 goto ERR;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
96 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
97 if ((res = mp_sqr(&t,&t)) != MP_OKAY) {
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
98 goto ERR;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
99 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
100
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
101 *ret = (mp_cmp_mag(&t,arg) == MP_EQ) ? MP_YES : MP_NO;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
102 ERR:mp_clear(&t);
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
103 return res;
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
104 }
eed26cff980b propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff changeset
105 #endif
389
5ff8218bcee9 propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents: 284
diff changeset
106
1470
8bba51a55704 Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents: 1436
diff changeset
107 /* ref: $Format:%D$ */
8bba51a55704 Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents: 1436
diff changeset
108 /* git commit: $Format:%H$ */
8bba51a55704 Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents: 1436
diff changeset
109 /* commit time: $Format:%ai$ */