Mercurial > dropbear
annotate libtommath/bn_mp_invmod_slow.c @ 1682:a53e7d2d60be
rsa-sha256 for ssh-agent
author | Matt Johnston <matt@ucc.asn.au> |
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date | Mon, 25 May 2020 20:23:02 +0800 |
parents | f52919ffd3b1 |
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rev | line source |
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1 #include "tommath_private.h" |
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2 #ifdef BN_MP_INVMOD_SLOW_C |
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3 /* LibTomMath, multiple-precision integer library -- Tom St Denis |
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4 * |
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5 * LibTomMath is a library that provides multiple-precision |
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6 * integer arithmetic as well as number theoretic functionality. |
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7 * |
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8 * The library was designed directly after the MPI library by |
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9 * Michael Fromberger but has been written from scratch with |
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10 * additional optimizations in place. |
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11 * |
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12 * SPDX-License-Identifier: Unlicense |
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13 */ |
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14 |
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15 /* hac 14.61, pp608 */ |
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16 int mp_invmod_slow(const mp_int *a, const mp_int *b, mp_int *c) |
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17 { |
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18 mp_int x, y, u, v, A, B, C, D; |
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19 int res; |
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20 |
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21 /* b cannot be negative */ |
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22 if ((b->sign == MP_NEG) || (mp_iszero(b) == MP_YES)) { |
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23 return MP_VAL; |
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24 } |
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25 |
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26 /* init temps */ |
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27 if ((res = mp_init_multi(&x, &y, &u, &v, |
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28 &A, &B, &C, &D, NULL)) != MP_OKAY) { |
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29 return res; |
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30 } |
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31 |
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32 /* x = a, y = b */ |
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33 if ((res = mp_mod(a, b, &x)) != MP_OKAY) { |
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34 goto LBL_ERR; |
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35 } |
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36 if ((res = mp_copy(b, &y)) != MP_OKAY) { |
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37 goto LBL_ERR; |
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38 } |
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39 |
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40 /* 2. [modified] if x,y are both even then return an error! */ |
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41 if ((mp_iseven(&x) == MP_YES) && (mp_iseven(&y) == MP_YES)) { |
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42 res = MP_VAL; |
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43 goto LBL_ERR; |
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44 } |
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45 |
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46 /* 3. u=x, v=y, A=1, B=0, C=0,D=1 */ |
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47 if ((res = mp_copy(&x, &u)) != MP_OKAY) { |
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48 goto LBL_ERR; |
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49 } |
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50 if ((res = mp_copy(&y, &v)) != MP_OKAY) { |
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51 goto LBL_ERR; |
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52 } |
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53 mp_set(&A, 1uL); |
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54 mp_set(&D, 1uL); |
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55 |
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56 top: |
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57 /* 4. while u is even do */ |
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58 while (mp_iseven(&u) == MP_YES) { |
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59 /* 4.1 u = u/2 */ |
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60 if ((res = mp_div_2(&u, &u)) != MP_OKAY) { |
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61 goto LBL_ERR; |
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62 } |
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63 /* 4.2 if A or B is odd then */ |
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64 if ((mp_isodd(&A) == MP_YES) || (mp_isodd(&B) == MP_YES)) { |
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65 /* A = (A+y)/2, B = (B-x)/2 */ |
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66 if ((res = mp_add(&A, &y, &A)) != MP_OKAY) { |
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67 goto LBL_ERR; |
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68 } |
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69 if ((res = mp_sub(&B, &x, &B)) != MP_OKAY) { |
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70 goto LBL_ERR; |
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71 } |
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72 } |
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73 /* A = A/2, B = B/2 */ |
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74 if ((res = mp_div_2(&A, &A)) != MP_OKAY) { |
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75 goto LBL_ERR; |
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76 } |
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77 if ((res = mp_div_2(&B, &B)) != MP_OKAY) { |
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78 goto LBL_ERR; |
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79 } |
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80 } |
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81 |
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82 /* 5. while v is even do */ |
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83 while (mp_iseven(&v) == MP_YES) { |
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84 /* 5.1 v = v/2 */ |
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85 if ((res = mp_div_2(&v, &v)) != MP_OKAY) { |
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86 goto LBL_ERR; |
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87 } |
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Steffen Jaeckel <s_jaeckel@gmx.de>
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|
88 /* 5.2 if C or D is odd then */ |
f52919ffd3b1
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89 if ((mp_isodd(&C) == MP_YES) || (mp_isodd(&D) == MP_YES)) { |
f52919ffd3b1
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90 /* C = (C+y)/2, D = (D-x)/2 */ |
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91 if ((res = mp_add(&C, &y, &C)) != MP_OKAY) { |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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|
92 goto LBL_ERR; |
f52919ffd3b1
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|
93 } |
f52919ffd3b1
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94 if ((res = mp_sub(&D, &x, &D)) != MP_OKAY) { |
f52919ffd3b1
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|
95 goto LBL_ERR; |
f52919ffd3b1
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|
96 } |
f52919ffd3b1
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97 } |
f52919ffd3b1
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98 /* C = C/2, D = D/2 */ |
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99 if ((res = mp_div_2(&C, &C)) != MP_OKAY) { |
f52919ffd3b1
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|
100 goto LBL_ERR; |
f52919ffd3b1
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101 } |
f52919ffd3b1
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102 if ((res = mp_div_2(&D, &D)) != MP_OKAY) { |
f52919ffd3b1
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103 goto LBL_ERR; |
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104 } |
f52919ffd3b1
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105 } |
f52919ffd3b1
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106 |
f52919ffd3b1
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107 /* 6. if u >= v then */ |
f52919ffd3b1
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108 if (mp_cmp(&u, &v) != MP_LT) { |
f52919ffd3b1
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109 /* u = u - v, A = A - C, B = B - D */ |
f52919ffd3b1
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110 if ((res = mp_sub(&u, &v, &u)) != MP_OKAY) { |
284
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111 goto LBL_ERR; |
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|
112 } |
1655
f52919ffd3b1
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113 |
f52919ffd3b1
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114 if ((res = mp_sub(&A, &C, &A)) != MP_OKAY) { |
f52919ffd3b1
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115 goto LBL_ERR; |
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116 } |
f52919ffd3b1
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117 |
f52919ffd3b1
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118 if ((res = mp_sub(&B, &D, &B)) != MP_OKAY) { |
f52919ffd3b1
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119 goto LBL_ERR; |
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120 } |
f52919ffd3b1
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121 } else { |
f52919ffd3b1
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122 /* v - v - u, C = C - A, D = D - B */ |
f52919ffd3b1
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123 if ((res = mp_sub(&v, &u, &v)) != MP_OKAY) { |
f52919ffd3b1
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124 goto LBL_ERR; |
f52919ffd3b1
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125 } |
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parents:
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126 |
1655
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127 if ((res = mp_sub(&C, &A, &C)) != MP_OKAY) { |
f52919ffd3b1
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128 goto LBL_ERR; |
f52919ffd3b1
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129 } |
f52919ffd3b1
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130 |
f52919ffd3b1
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131 if ((res = mp_sub(&D, &B, &D)) != MP_OKAY) { |
f52919ffd3b1
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132 goto LBL_ERR; |
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|
133 } |
f52919ffd3b1
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|
134 } |
284
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parents:
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|
135 |
1655
f52919ffd3b1
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|
136 /* if not zero goto step 4 */ |
f52919ffd3b1
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Steffen Jaeckel <s_jaeckel@gmx.de>
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|
137 if (mp_iszero(&u) == MP_NO) |
f52919ffd3b1
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|
138 goto top; |
284
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
139 |
1655
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|
140 /* now a = C, b = D, gcd == g*v */ |
f52919ffd3b1
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Steffen Jaeckel <s_jaeckel@gmx.de>
parents:
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|
141 |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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|
142 /* if v != 1 then there is no inverse */ |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
parents:
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|
143 if (mp_cmp_d(&v, 1uL) != MP_EQ) { |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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|
144 res = MP_VAL; |
284
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
145 goto LBL_ERR; |
1655
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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|
146 } |
284
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parents:
diff
changeset
|
147 |
1655
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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changeset
|
148 /* if its too low */ |
f52919ffd3b1
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Steffen Jaeckel <s_jaeckel@gmx.de>
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149 while (mp_cmp_d(&C, 0uL) == MP_LT) { |
284
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Matt Johnston <matt@ucc.asn.au>
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|
150 if ((res = mp_add(&C, b, &C)) != MP_OKAY) { |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
151 goto LBL_ERR; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
152 } |
1655
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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|
153 } |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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|
154 |
f52919ffd3b1
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|
155 /* too big */ |
f52919ffd3b1
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Steffen Jaeckel <s_jaeckel@gmx.de>
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|
156 while (mp_cmp_mag(&C, b) != MP_LT) { |
284
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Matt Johnston <matt@ucc.asn.au>
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|
157 if ((res = mp_sub(&C, b, &C)) != MP_OKAY) { |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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changeset
|
158 goto LBL_ERR; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
159 } |
1655
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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changeset
|
160 } |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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|
161 |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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|
162 /* C is now the inverse */ |
f52919ffd3b1
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Steffen Jaeckel <s_jaeckel@gmx.de>
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|
163 mp_exch(&C, c); |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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|
164 res = MP_OKAY; |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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|
165 LBL_ERR: |
f52919ffd3b1
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|
166 mp_clear_multi(&x, &y, &u, &v, &A, &B, &C, &D, NULL); |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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|
167 return res; |
284
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
168 } |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
169 #endif |
389
5ff8218bcee9
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Matt Johnston <matt@ucc.asn.au>
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284
diff
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|
170 |
1655
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|
171 /* ref: HEAD -> master, tag: v1.1.0 */ |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
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|
172 /* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */ |
f52919ffd3b1
update ltm to 1.1.0 and enable FIPS 186.4 compliant key-generation (#79)
Steffen Jaeckel <s_jaeckel@gmx.de>
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|
173 /* commit time: 2019-01-28 20:32:32 +0100 */ |