Mercurial > dropbear
annotate libtommath/bn_fast_mp_montgomery_reduce.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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1 #include <tommath.h> |
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2 #ifdef BN_FAST_MP_MONTGOMERY_REDUCE_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 * |
389
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15 * Tom St Denis, [email protected], http://math.libtomcrypt.com |
284
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16 */ |
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17 |
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18 /* computes xR**-1 == x (mod N) via Montgomery Reduction |
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19 * |
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20 * This is an optimized implementation of montgomery_reduce |
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21 * which uses the comba method to quickly calculate the columns of the |
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22 * reduction. |
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23 * |
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24 * Based on Algorithm 14.32 on pp.601 of HAC. |
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25 */ |
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26 int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) |
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27 { |
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28 int ix, res, olduse; |
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29 mp_word W[MP_WARRAY]; |
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30 |
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31 /* get old used count */ |
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32 olduse = x->used; |
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33 |
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34 /* grow a as required */ |
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35 if (x->alloc < n->used + 1) { |
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36 if ((res = mp_grow (x, n->used + 1)) != MP_OKAY) { |
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37 return res; |
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38 } |
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39 } |
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40 |
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41 /* first we have to get the digits of the input into |
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42 * an array of double precision words W[...] |
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43 */ |
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44 { |
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45 register mp_word *_W; |
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46 register mp_digit *tmpx; |
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47 |
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48 /* alias for the W[] array */ |
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49 _W = W; |
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50 |
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51 /* alias for the digits of x*/ |
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52 tmpx = x->dp; |
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53 |
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54 /* copy the digits of a into W[0..a->used-1] */ |
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55 for (ix = 0; ix < x->used; ix++) { |
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56 *_W++ = *tmpx++; |
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57 } |
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58 |
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59 /* zero the high words of W[a->used..m->used*2] */ |
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60 for (; ix < n->used * 2 + 1; ix++) { |
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61 *_W++ = 0; |
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62 } |
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63 } |
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64 |
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65 /* now we proceed to zero successive digits |
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66 * from the least significant upwards |
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67 */ |
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68 for (ix = 0; ix < n->used; ix++) { |
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69 /* mu = ai * m' mod b |
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70 * |
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71 * We avoid a double precision multiplication (which isn't required) |
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72 * by casting the value down to a mp_digit. Note this requires |
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73 * that W[ix-1] have the carry cleared (see after the inner loop) |
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74 */ |
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75 register mp_digit mu; |
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76 mu = (mp_digit) (((W[ix] & MP_MASK) * rho) & MP_MASK); |
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77 |
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78 /* a = a + mu * m * b**i |
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79 * |
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80 * This is computed in place and on the fly. The multiplication |
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81 * by b**i is handled by offseting which columns the results |
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82 * are added to. |
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83 * |
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84 * Note the comba method normally doesn't handle carries in the |
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85 * inner loop In this case we fix the carry from the previous |
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86 * column since the Montgomery reduction requires digits of the |
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87 * result (so far) [see above] to work. This is |
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88 * handled by fixing up one carry after the inner loop. The |
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89 * carry fixups are done in order so after these loops the |
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90 * first m->used words of W[] have the carries fixed |
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91 */ |
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92 { |
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93 register int iy; |
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94 register mp_digit *tmpn; |
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95 register mp_word *_W; |
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96 |
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97 /* alias for the digits of the modulus */ |
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98 tmpn = n->dp; |
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99 |
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100 /* Alias for the columns set by an offset of ix */ |
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101 _W = W + ix; |
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102 |
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103 /* inner loop */ |
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104 for (iy = 0; iy < n->used; iy++) { |
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105 *_W++ += ((mp_word)mu) * ((mp_word)*tmpn++); |
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106 } |
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107 } |
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108 |
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109 /* now fix carry for next digit, W[ix+1] */ |
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110 W[ix + 1] += W[ix] >> ((mp_word) DIGIT_BIT); |
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111 } |
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112 |
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113 /* now we have to propagate the carries and |
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114 * shift the words downward [all those least |
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115 * significant digits we zeroed]. |
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116 */ |
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117 { |
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118 register mp_digit *tmpx; |
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119 register mp_word *_W, *_W1; |
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120 |
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121 /* nox fix rest of carries */ |
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122 |
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123 /* alias for current word */ |
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124 _W1 = W + ix; |
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125 |
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126 /* alias for next word, where the carry goes */ |
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127 _W = W + ++ix; |
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128 |
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129 for (; ix <= n->used * 2 + 1; ix++) { |
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130 *_W++ += *_W1++ >> ((mp_word) DIGIT_BIT); |
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131 } |
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132 |
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133 /* copy out, A = A/b**n |
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134 * |
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135 * The result is A/b**n but instead of converting from an |
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136 * array of mp_word to mp_digit than calling mp_rshd |
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137 * we just copy them in the right order |
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138 */ |
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139 |
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140 /* alias for destination word */ |
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141 tmpx = x->dp; |
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142 |
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143 /* alias for shifted double precision result */ |
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144 _W = W + n->used; |
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145 |
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146 for (ix = 0; ix < n->used + 1; ix++) { |
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147 *tmpx++ = (mp_digit)(*_W++ & ((mp_word) MP_MASK)); |
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148 } |
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149 |
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150 /* zero oldused digits, if the input a was larger than |
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151 * m->used+1 we'll have to clear the digits |
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152 */ |
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153 for (; ix < olduse; ix++) { |
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154 *tmpx++ = 0; |
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155 } |
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156 } |
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157 |
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158 /* set the max used and clamp */ |
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159 x->used = n->used + 1; |
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160 mp_clamp (x); |
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161 |
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162 /* if A >= m then A = A - m */ |
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163 if (mp_cmp_mag (x, n) != MP_LT) { |
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164 return s_mp_sub (x, n, x); |
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165 } |
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166 return MP_OKAY; |
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167 } |
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168 #endif |
389
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169 |
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170 /* $Source: /cvs/libtom/libtommath/bn_fast_mp_montgomery_reduce.c,v $ */ |
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171 /* $Revision: 1.3 $ */ |
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172 /* $Date: 2006/03/31 14:18:44 $ */ |