Mercurial > dropbear
annotate libtommath/etc/mersenne.c @ 994:5c5ade336926
Prefer stronger algorithms in algorithm negotiation.
Prefer diffie-hellman-group14-sha1 (2048 bit) over
diffie-hellman-group1-sha1 (1024 bit).
Due to meet-in-the-middle attacks the effective key length of
three key 3DES is 112 bits. AES is stronger and faster then 3DES.
Prefer to delay the start of compression until after authentication
has completed. This avoids exposing compression code to attacks
from unauthenticated users.
(github pull request #9)
author | Fedor Brunner <fedor.brunner@azet.sk> |
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date | Fri, 23 Jan 2015 23:00:25 +0800 |
parents | 5ff8218bcee9 |
children | 60fc6476e044 |
rev | line source |
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284
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1 /* Finds Mersenne primes using the Lucas-Lehmer test |
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2 * |
389
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3 * Tom St Denis, [email protected] |
284
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4 */ |
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5 #include <time.h> |
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6 #include <tommath.h> |
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7 |
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8 int |
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9 is_mersenne (long s, int *pp) |
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10 { |
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11 mp_int n, u; |
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12 int res, k; |
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13 |
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14 *pp = 0; |
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15 |
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16 if ((res = mp_init (&n)) != MP_OKAY) { |
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17 return res; |
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18 } |
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19 |
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20 if ((res = mp_init (&u)) != MP_OKAY) { |
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21 goto LBL_N; |
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22 } |
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23 |
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24 /* n = 2^s - 1 */ |
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25 if ((res = mp_2expt(&n, s)) != MP_OKAY) { |
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26 goto LBL_MU; |
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27 } |
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28 if ((res = mp_sub_d (&n, 1, &n)) != MP_OKAY) { |
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29 goto LBL_MU; |
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30 } |
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31 |
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32 /* set u=4 */ |
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33 mp_set (&u, 4); |
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34 |
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35 /* for k=1 to s-2 do */ |
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36 for (k = 1; k <= s - 2; k++) { |
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37 /* u = u^2 - 2 mod n */ |
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38 if ((res = mp_sqr (&u, &u)) != MP_OKAY) { |
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39 goto LBL_MU; |
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40 } |
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41 if ((res = mp_sub_d (&u, 2, &u)) != MP_OKAY) { |
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42 goto LBL_MU; |
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43 } |
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44 |
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45 /* make sure u is positive */ |
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46 while (u.sign == MP_NEG) { |
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47 if ((res = mp_add (&u, &n, &u)) != MP_OKAY) { |
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48 goto LBL_MU; |
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49 } |
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50 } |
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51 |
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52 /* reduce */ |
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53 if ((res = mp_reduce_2k (&u, &n, 1)) != MP_OKAY) { |
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54 goto LBL_MU; |
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55 } |
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56 } |
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57 |
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58 /* if u == 0 then its prime */ |
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59 if (mp_iszero (&u) == 1) { |
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60 mp_prime_is_prime(&n, 8, pp); |
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61 if (*pp != 1) printf("FAILURE\n"); |
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62 } |
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63 |
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64 res = MP_OKAY; |
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65 LBL_MU:mp_clear (&u); |
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66 LBL_N:mp_clear (&n); |
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67 return res; |
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68 } |
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69 |
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70 /* square root of a long < 65536 */ |
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71 long |
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72 i_sqrt (long x) |
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73 { |
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74 long x1, x2; |
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75 |
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76 x2 = 16; |
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77 do { |
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78 x1 = x2; |
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79 x2 = x1 - ((x1 * x1) - x) / (2 * x1); |
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80 } while (x1 != x2); |
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81 |
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82 if (x1 * x1 > x) { |
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propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
83 --x1; |
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:
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86 return x1; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
87 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
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88 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
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89 /* is the long prime by brute force */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
90 int |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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91 isprime (long k) |
eed26cff980b
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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
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93 long y, z; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
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94 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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95 y = i_sqrt (k); |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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96 for (z = 2; z <= y; z++) { |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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97 if ((k % z) == 0) |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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98 return 0; |
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:
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100 return 1; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
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101 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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102 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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103 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
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104 int |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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105 main (void) |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
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106 { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
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107 int pp; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
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108 long k; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
109 clock_t tt; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
110 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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111 k = 3; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
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112 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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|
113 for (;;) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
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|
114 /* start time */ |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
115 tt = clock (); |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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116 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
117 /* test if 2^k - 1 is prime */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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118 if (is_mersenne (k, &pp) != MP_OKAY) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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|
119 printf ("Whoa error\n"); |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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120 return -1; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
121 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
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122 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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123 if (pp == 1) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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|
124 /* count time */ |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
125 tt = clock () - tt; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
126 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
127 /* display if prime */ |
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
128 printf ("2^%-5ld - 1 is prime, test took %ld ticks\n", k, tt); |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
129 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
130 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
131 /* goto next odd exponent */ |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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132 k += 2; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
133 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
134 /* but make sure its prime */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
135 while (isprime (k) == 0) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
136 k += 2; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
137 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
138 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
139 return 0; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
140 } |
389
5ff8218bcee9
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
|
141 |
5ff8218bcee9
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
|
142 /* $Source: /cvs/libtom/libtommath/etc/mersenne.c,v $ */ |
5ff8218bcee9
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 2af95f00ebd5bb7a28b3817db1218442c935388e)
Matt Johnston <matt@ucc.asn.au>
parents:
284
diff
changeset
|
143 /* $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
|
144 /* $Date: 2006/03/31 14:18:47 $ */ |