Mercurial > dropbear
annotate libtommath/bn_mp_exptmod_fast.c @ 1612:470aa609c7e4
avoid extended regex features to avoid caring about sed -r vs -E
author | Matt Johnston <matt@ucc.asn.au> |
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date | Tue, 24 Jul 2018 20:19:05 +0800 |
parents | 8bba51a55704 |
children | f52919ffd3b1 |
rev | line source |
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1436 | 1 #include <tommath_private.h> |
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2 #ifdef BN_MP_EXPTMOD_FAST_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 * The library is free for all purposes without any express |
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13 * guarantee it works. |
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14 * |
1436 | 15 * Tom St Denis, [email protected], http://libtom.org |
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16 */ |
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17 |
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18 /* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 |
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19 * |
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20 * Uses a left-to-right k-ary sliding window to compute the modular exponentiation. |
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21 * The value of k changes based on the size of the exponent. |
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22 * |
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23 * Uses Montgomery or Diminished Radix reduction [whichever appropriate] |
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24 */ |
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25 |
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26 #ifdef MP_LOW_MEM |
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27 #define TAB_SIZE 32 |
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28 #else |
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29 #define TAB_SIZE 256 |
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30 #endif |
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31 |
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32 int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode) |
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33 { |
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34 mp_int M[TAB_SIZE], res; |
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35 mp_digit buf, mp; |
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36 int err, bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize; |
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37 |
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38 /* use a pointer to the reduction algorithm. This allows us to use |
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39 * one of many reduction algorithms without modding the guts of |
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40 * the code with if statements everywhere. |
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41 */ |
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42 int (*redux)(mp_int*,mp_int*,mp_digit); |
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43 |
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44 /* find window size */ |
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45 x = mp_count_bits (X); |
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46 if (x <= 7) { |
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47 winsize = 2; |
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48 } else if (x <= 36) { |
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49 winsize = 3; |
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50 } else if (x <= 140) { |
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51 winsize = 4; |
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52 } else if (x <= 450) { |
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53 winsize = 5; |
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54 } else if (x <= 1303) { |
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55 winsize = 6; |
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56 } else if (x <= 3529) { |
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57 winsize = 7; |
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58 } else { |
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59 winsize = 8; |
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60 } |
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61 |
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62 #ifdef MP_LOW_MEM |
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63 if (winsize > 5) { |
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64 winsize = 5; |
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65 } |
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66 #endif |
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67 |
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68 /* init M array */ |
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69 /* init first cell */ |
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70 if ((err = mp_init_size(&M[1], P->alloc)) != MP_OKAY) { |
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71 return err; |
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72 } |
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73 |
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74 /* now init the second half of the array */ |
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75 for (x = 1<<(winsize-1); x < (1 << winsize); x++) { |
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76 if ((err = mp_init_size(&M[x], P->alloc)) != MP_OKAY) { |
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77 for (y = 1<<(winsize-1); y < x; y++) { |
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78 mp_clear (&M[y]); |
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79 } |
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80 mp_clear(&M[1]); |
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81 return err; |
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82 } |
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83 } |
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84 |
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|
85 /* determine and setup reduction code */ |
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|
86 if (redmode == 0) { |
eed26cff980b
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parents:
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|
87 #ifdef BN_MP_MONTGOMERY_SETUP_C |
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|
88 /* now setup montgomery */ |
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Matt Johnston <matt@ucc.asn.au>
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|
89 if ((err = mp_montgomery_setup (P, &mp)) != MP_OKAY) { |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
90 goto LBL_M; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
91 } |
eed26cff980b
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|
92 #else |
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93 err = MP_VAL; |
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Matt Johnston <matt@ucc.asn.au>
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|
94 goto LBL_M; |
eed26cff980b
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|
95 #endif |
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|
96 |
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97 /* automatically pick the comba one if available (saves quite a few calls/ifs) */ |
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Matt Johnston <matt@ucc.asn.au>
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98 #ifdef BN_FAST_MP_MONTGOMERY_REDUCE_C |
1436 | 99 if ((((P->used * 2) + 1) < MP_WARRAY) && |
100 (P->used < (1 << ((CHAR_BIT * sizeof(mp_word)) - (2 * DIGIT_BIT))))) { | |
284
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Matt Johnston <matt@ucc.asn.au>
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101 redux = fast_mp_montgomery_reduce; |
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102 } else |
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103 #endif |
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104 { |
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105 #ifdef BN_MP_MONTGOMERY_REDUCE_C |
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106 /* use slower baseline Montgomery method */ |
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107 redux = mp_montgomery_reduce; |
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108 #else |
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109 err = MP_VAL; |
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Matt Johnston <matt@ucc.asn.au>
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110 goto LBL_M; |
eed26cff980b
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111 #endif |
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112 } |
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113 } else if (redmode == 1) { |
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Matt Johnston <matt@ucc.asn.au>
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114 #if defined(BN_MP_DR_SETUP_C) && defined(BN_MP_DR_REDUCE_C) |
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115 /* setup DR reduction for moduli of the form B**k - b */ |
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Matt Johnston <matt@ucc.asn.au>
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|
116 mp_dr_setup(P, &mp); |
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Matt Johnston <matt@ucc.asn.au>
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117 redux = mp_dr_reduce; |
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118 #else |
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119 err = MP_VAL; |
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Matt Johnston <matt@ucc.asn.au>
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|
120 goto LBL_M; |
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121 #endif |
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122 } else { |
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Matt Johnston <matt@ucc.asn.au>
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123 #if defined(BN_MP_REDUCE_2K_SETUP_C) && defined(BN_MP_REDUCE_2K_C) |
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124 /* setup DR reduction for moduli of the form 2**k - b */ |
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Matt Johnston <matt@ucc.asn.au>
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125 if ((err = mp_reduce_2k_setup(P, &mp)) != MP_OKAY) { |
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Matt Johnston <matt@ucc.asn.au>
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|
126 goto LBL_M; |
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Matt Johnston <matt@ucc.asn.au>
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127 } |
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Matt Johnston <matt@ucc.asn.au>
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128 redux = mp_reduce_2k; |
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Matt Johnston <matt@ucc.asn.au>
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129 #else |
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Matt Johnston <matt@ucc.asn.au>
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130 err = MP_VAL; |
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Matt Johnston <matt@ucc.asn.au>
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|
131 goto LBL_M; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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132 #endif |
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Matt Johnston <matt@ucc.asn.au>
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133 } |
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Matt Johnston <matt@ucc.asn.au>
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|
134 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
135 /* setup result */ |
608
4fbf9a7556ed
Use mp_init_size() to avoid some mp_grow()s
Matt Johnston <matt@ucc.asn.au>
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389
diff
changeset
|
136 if ((err = mp_init_size (&res, P->alloc)) != MP_OKAY) { |
284
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
137 goto LBL_M; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
138 } |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
139 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
140 /* create M table |
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
141 * |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
142 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
143 * |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
144 * The first half of the table is not computed though accept for M[0] and M[1] |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
145 */ |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
146 |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
147 if (redmode == 0) { |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
148 #ifdef BN_MP_MONTGOMERY_CALC_NORMALIZATION_C |
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|
149 /* now we need R mod m */ |
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Matt Johnston <matt@ucc.asn.au>
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|
150 if ((err = mp_montgomery_calc_normalization (&res, P)) != MP_OKAY) { |
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Matt Johnston <matt@ucc.asn.au>
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|
151 goto LBL_RES; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
152 } |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
153 |
eed26cff980b
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154 /* now set M[1] to G * R mod m */ |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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155 if ((err = mp_mulmod (G, &res, P, &M[1])) != MP_OKAY) { |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
156 goto LBL_RES; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
157 } |
1470
8bba51a55704
Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents:
1436
diff
changeset
|
158 #else |
8bba51a55704
Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents:
1436
diff
changeset
|
159 err = MP_VAL; |
8bba51a55704
Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents:
1436
diff
changeset
|
160 goto LBL_RES; |
8bba51a55704
Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
parents:
1436
diff
changeset
|
161 #endif |
284
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Matt Johnston <matt@ucc.asn.au>
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|
162 } else { |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
163 mp_set(&res, 1); |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
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|
164 if ((err = mp_mod(G, P, &M[1])) != MP_OKAY) { |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
165 goto LBL_RES; |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
diff
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|
166 } |
eed26cff980b
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Matt Johnston <matt@ucc.asn.au>
parents:
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|
167 } |
eed26cff980b
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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 /* compute the value at M[1<<(winsize-1)] by squaring M[1] (winsize-1) times */ |
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Matt Johnston <matt@ucc.asn.au>
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|
170 if ((err = mp_copy (&M[1], &M[1 << (winsize - 1)])) != MP_OKAY) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
171 goto LBL_RES; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
172 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
173 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
174 for (x = 0; x < (winsize - 1); x++) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
175 if ((err = mp_sqr (&M[1 << (winsize - 1)], &M[1 << (winsize - 1)])) != MP_OKAY) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
176 goto LBL_RES; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
177 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
178 if ((err = redux (&M[1 << (winsize - 1)], P, mp)) != MP_OKAY) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
179 goto LBL_RES; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
180 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
181 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
182 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
183 /* create upper table */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
184 for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
185 if ((err = mp_mul (&M[x - 1], &M[1], &M[x])) != MP_OKAY) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
186 goto LBL_RES; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
187 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
188 if ((err = redux (&M[x], P, mp)) != MP_OKAY) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
189 goto LBL_RES; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
190 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
191 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
192 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
193 /* set initial mode and bit cnt */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
194 mode = 0; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
195 bitcnt = 1; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
196 buf = 0; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
197 digidx = X->used - 1; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
198 bitcpy = 0; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
199 bitbuf = 0; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
200 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
201 for (;;) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
202 /* grab next digit as required */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
203 if (--bitcnt == 0) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
204 /* if digidx == -1 we are out of digits so break */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
205 if (digidx == -1) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
206 break; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
207 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
208 /* read next digit and reset bitcnt */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
209 buf = X->dp[digidx--]; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
210 bitcnt = (int)DIGIT_BIT; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
211 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
212 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
213 /* grab the next msb from the exponent */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
214 y = (mp_digit)(buf >> (DIGIT_BIT - 1)) & 1; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
215 buf <<= (mp_digit)1; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
216 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
217 /* if the bit is zero and mode == 0 then we ignore it |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
218 * These represent the leading zero bits before the first 1 bit |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
219 * in the exponent. Technically this opt is not required but it |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
220 * does lower the # of trivial squaring/reductions used |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
221 */ |
1436 | 222 if ((mode == 0) && (y == 0)) { |
284
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
223 continue; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
224 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
225 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
226 /* if the bit is zero and mode == 1 then we square */ |
1436 | 227 if ((mode == 1) && (y == 0)) { |
284
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
228 if ((err = mp_sqr (&res, &res)) != MP_OKAY) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
229 goto LBL_RES; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
230 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
231 if ((err = redux (&res, P, mp)) != MP_OKAY) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
232 goto LBL_RES; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
233 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
234 continue; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
235 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
236 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
237 /* else we add it to the window */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
238 bitbuf |= (y << (winsize - ++bitcpy)); |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
239 mode = 2; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
240 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
241 if (bitcpy == winsize) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
242 /* ok window is filled so square as required and multiply */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
243 /* square first */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
244 for (x = 0; x < winsize; x++) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
245 if ((err = mp_sqr (&res, &res)) != MP_OKAY) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
246 goto LBL_RES; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
247 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
248 if ((err = redux (&res, P, mp)) != MP_OKAY) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
249 goto LBL_RES; |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
250 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
251 } |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
252 |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
253 /* then multiply */ |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
254 if ((err = mp_mul (&res, &M[bitbuf], &res)) != MP_OKAY) { |
eed26cff980b
propagate from branch 'au.asn.ucc.matt.ltm.dropbear' (head 6c790cad5a7fa866ad062cb3a0c279f7ba788583)
Matt Johnston <matt@ucc.asn.au>
parents:
diff
changeset
|
255 goto LBL_RES; |
eed26cff980b
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256 } |
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257 if ((err = redux (&res, P, mp)) != MP_OKAY) { |
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258 goto LBL_RES; |
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259 } |
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260 |
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261 /* empty window and reset */ |
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262 bitcpy = 0; |
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263 bitbuf = 0; |
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264 mode = 1; |
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265 } |
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266 } |
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267 |
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268 /* if bits remain then square/multiply */ |
1436 | 269 if ((mode == 2) && (bitcpy > 0)) { |
284
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270 /* square then multiply if the bit is set */ |
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271 for (x = 0; x < bitcpy; x++) { |
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272 if ((err = mp_sqr (&res, &res)) != MP_OKAY) { |
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273 goto LBL_RES; |
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274 } |
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275 if ((err = redux (&res, P, mp)) != MP_OKAY) { |
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276 goto LBL_RES; |
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277 } |
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278 |
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279 /* get next bit of the window */ |
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280 bitbuf <<= 1; |
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281 if ((bitbuf & (1 << winsize)) != 0) { |
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282 /* then multiply */ |
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283 if ((err = mp_mul (&res, &M[1], &res)) != MP_OKAY) { |
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284 goto LBL_RES; |
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285 } |
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286 if ((err = redux (&res, P, mp)) != MP_OKAY) { |
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287 goto LBL_RES; |
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288 } |
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289 } |
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290 } |
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291 } |
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292 |
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293 if (redmode == 0) { |
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294 /* fixup result if Montgomery reduction is used |
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295 * recall that any value in a Montgomery system is |
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296 * actually multiplied by R mod n. So we have |
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297 * to reduce one more time to cancel out the factor |
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298 * of R. |
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299 */ |
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300 if ((err = redux(&res, P, mp)) != MP_OKAY) { |
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301 goto LBL_RES; |
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302 } |
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303 } |
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304 |
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305 /* swap res with Y */ |
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306 mp_exch (&res, Y); |
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307 err = MP_OKAY; |
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308 LBL_RES:mp_clear (&res); |
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309 LBL_M: |
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310 mp_clear(&M[1]); |
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311 for (x = 1<<(winsize-1); x < (1 << winsize); x++) { |
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312 mp_clear (&M[x]); |
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313 } |
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314 return err; |
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315 } |
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316 #endif |
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317 |
389
5ff8218bcee9
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284
diff
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|
318 |
1470
8bba51a55704
Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
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319 /* ref: $Format:%D$ */ |
8bba51a55704
Update to libtommath v1.0.1
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320 /* git commit: $Format:%H$ */ |
8bba51a55704
Update to libtommath v1.0.1
Matt Johnston <matt@ucc.asn.au>
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321 /* commit time: $Format:%ai$ */ |