Mercurial > trustbridge > nss-cmake-static
annotate nss/lib/freebl/mpi/mpmontg.c @ 4:b513267f632f tip
Build DBM module
author | Andre Heinecke <andre.heinecke@intevation.de> |
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date | Tue, 05 Aug 2014 18:58:03 +0200 |
parents | 1e5118fa0cb1 |
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rev | line source |
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1 /* This Source Code Form is subject to the terms of the Mozilla Public |
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2 * License, v. 2.0. If a copy of the MPL was not distributed with this |
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3 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ |
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4 |
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5 /* This file implements moduluar exponentiation using Montgomery's |
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6 * method for modular reduction. This file implements the method |
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7 * described as "Improvement 2" in the paper "A Cryptogrpahic Library for |
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8 * the Motorola DSP56000" by Stephen R. Dusse' and Burton S. Kaliski Jr. |
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9 * published in "Advances in Cryptology: Proceedings of EUROCRYPT '90" |
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10 * "Lecture Notes in Computer Science" volume 473, 1991, pg 230-244, |
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11 * published by Springer Verlag. |
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12 */ |
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13 |
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14 #define MP_USING_CACHE_SAFE_MOD_EXP 1 |
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15 #include <string.h> |
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16 #include "mpi-priv.h" |
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17 #include "mplogic.h" |
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18 #include "mpprime.h" |
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19 #ifdef MP_USING_MONT_MULF |
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20 #include "montmulf.h" |
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21 #endif |
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22 #include <stddef.h> /* ptrdiff_t */ |
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23 |
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24 /* if MP_CHAR_STORE_SLOW is defined, we */ |
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25 /* need to know endianness of this platform. */ |
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26 #ifdef MP_CHAR_STORE_SLOW |
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27 #if !defined(MP_IS_BIG_ENDIAN) && !defined(MP_IS_LITTLE_ENDIAN) |
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28 #error "You must define MP_IS_BIG_ENDIAN or MP_IS_LITTLE_ENDIAN\n" \ |
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29 " if you define MP_CHAR_STORE_SLOW." |
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30 #endif |
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31 #endif |
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32 |
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33 #define STATIC |
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34 |
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35 #define MAX_ODD_INTS 32 /* 2 ** (WINDOW_BITS - 1) */ |
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36 |
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37 /*! computes T = REDC(T), 2^b == R |
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38 \param T < RN |
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39 */ |
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40 mp_err s_mp_redc(mp_int *T, mp_mont_modulus *mmm) |
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41 { |
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42 mp_err res; |
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43 mp_size i; |
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44 |
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45 i = (MP_USED(&mmm->N) << 1) + 1; |
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46 MP_CHECKOK( s_mp_pad(T, i) ); |
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47 for (i = 0; i < MP_USED(&mmm->N); ++i ) { |
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48 mp_digit m_i = MP_DIGIT(T, i) * mmm->n0prime; |
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49 /* T += N * m_i * (MP_RADIX ** i); */ |
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50 MP_CHECKOK( s_mp_mul_d_add_offset(&mmm->N, m_i, T, i) ); |
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51 } |
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52 s_mp_clamp(T); |
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53 |
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54 /* T /= R */ |
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55 s_mp_rshd( T, MP_USED(&mmm->N) ); |
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56 |
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57 if ((res = s_mp_cmp(T, &mmm->N)) >= 0) { |
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58 /* T = T - N */ |
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59 MP_CHECKOK( s_mp_sub(T, &mmm->N) ); |
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60 #ifdef DEBUG |
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61 if ((res = mp_cmp(T, &mmm->N)) >= 0) { |
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62 res = MP_UNDEF; |
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63 goto CLEANUP; |
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64 } |
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65 #endif |
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66 } |
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67 res = MP_OKAY; |
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68 CLEANUP: |
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69 return res; |
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70 } |
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71 |
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72 #if !defined(MP_MONT_USE_MP_MUL) |
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73 |
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74 /*! c <- REDC( a * b ) mod N |
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75 \param a < N i.e. "reduced" |
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76 \param b < N i.e. "reduced" |
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77 \param mmm modulus N and n0' of N |
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78 */ |
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79 mp_err s_mp_mul_mont(const mp_int *a, const mp_int *b, mp_int *c, |
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80 mp_mont_modulus *mmm) |
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81 { |
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82 mp_digit *pb; |
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83 mp_digit m_i; |
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84 mp_err res; |
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85 mp_size ib; /* "index b": index of current digit of B */ |
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86 mp_size useda, usedb; |
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87 |
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88 ARGCHK(a != NULL && b != NULL && c != NULL, MP_BADARG); |
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89 |
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90 if (MP_USED(a) < MP_USED(b)) { |
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91 const mp_int *xch = b; /* switch a and b, to do fewer outer loops */ |
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92 b = a; |
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93 a = xch; |
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94 } |
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95 |
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96 MP_USED(c) = 1; MP_DIGIT(c, 0) = 0; |
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97 ib = (MP_USED(&mmm->N) << 1) + 1; |
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98 if((res = s_mp_pad(c, ib)) != MP_OKAY) |
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99 goto CLEANUP; |
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100 |
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101 useda = MP_USED(a); |
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102 pb = MP_DIGITS(b); |
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103 s_mpv_mul_d(MP_DIGITS(a), useda, *pb++, MP_DIGITS(c)); |
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104 s_mp_setz(MP_DIGITS(c) + useda + 1, ib - (useda + 1)); |
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105 m_i = MP_DIGIT(c, 0) * mmm->n0prime; |
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106 s_mp_mul_d_add_offset(&mmm->N, m_i, c, 0); |
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107 |
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108 /* Outer loop: Digits of b */ |
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109 usedb = MP_USED(b); |
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110 for (ib = 1; ib < usedb; ib++) { |
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111 mp_digit b_i = *pb++; |
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112 |
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113 /* Inner product: Digits of a */ |
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114 if (b_i) |
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115 s_mpv_mul_d_add_prop(MP_DIGITS(a), useda, b_i, MP_DIGITS(c) + ib); |
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116 m_i = MP_DIGIT(c, ib) * mmm->n0prime; |
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117 s_mp_mul_d_add_offset(&mmm->N, m_i, c, ib); |
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118 } |
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119 if (usedb < MP_USED(&mmm->N)) { |
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120 for (usedb = MP_USED(&mmm->N); ib < usedb; ++ib ) { |
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121 m_i = MP_DIGIT(c, ib) * mmm->n0prime; |
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122 s_mp_mul_d_add_offset(&mmm->N, m_i, c, ib); |
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123 } |
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124 } |
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125 s_mp_clamp(c); |
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126 s_mp_rshd( c, MP_USED(&mmm->N) ); /* c /= R */ |
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127 if (s_mp_cmp(c, &mmm->N) >= 0) { |
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128 MP_CHECKOK( s_mp_sub(c, &mmm->N) ); |
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129 } |
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130 res = MP_OKAY; |
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131 |
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132 CLEANUP: |
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133 return res; |
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134 } |
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135 #endif |
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136 |
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137 STATIC |
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138 mp_err s_mp_to_mont(const mp_int *x, mp_mont_modulus *mmm, mp_int *xMont) |
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139 { |
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140 mp_err res; |
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141 |
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142 /* xMont = x * R mod N where N is modulus */ |
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143 MP_CHECKOK( mp_copy( x, xMont ) ); |
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144 MP_CHECKOK( s_mp_lshd( xMont, MP_USED(&mmm->N) ) ); /* xMont = x << b */ |
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145 MP_CHECKOK( mp_div(xMont, &mmm->N, 0, xMont) ); /* mod N */ |
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146 CLEANUP: |
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147 return res; |
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148 } |
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149 |
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150 #ifdef MP_USING_MONT_MULF |
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151 |
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152 /* the floating point multiply is already cache safe, |
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153 * don't turn on cache safe unless we specifically |
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154 * force it */ |
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155 #ifndef MP_FORCE_CACHE_SAFE |
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156 #undef MP_USING_CACHE_SAFE_MOD_EXP |
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157 #endif |
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158 |
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159 unsigned int mp_using_mont_mulf = 1; |
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160 |
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161 /* computes montgomery square of the integer in mResult */ |
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162 #define SQR \ |
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163 conv_i32_to_d32_and_d16(dm1, d16Tmp, mResult, nLen); \ |
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164 mont_mulf_noconv(mResult, dm1, d16Tmp, \ |
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165 dTmp, dn, MP_DIGITS(modulus), nLen, dn0) |
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166 |
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167 /* computes montgomery product of x and the integer in mResult */ |
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168 #define MUL(x) \ |
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169 conv_i32_to_d32(dm1, mResult, nLen); \ |
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170 mont_mulf_noconv(mResult, dm1, oddPowers[x], \ |
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171 dTmp, dn, MP_DIGITS(modulus), nLen, dn0) |
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172 |
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173 /* Do modular exponentiation using floating point multiply code. */ |
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174 mp_err mp_exptmod_f(const mp_int * montBase, |
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175 const mp_int * exponent, |
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176 const mp_int * modulus, |
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177 mp_int * result, |
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178 mp_mont_modulus *mmm, |
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179 int nLen, |
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180 mp_size bits_in_exponent, |
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181 mp_size window_bits, |
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182 mp_size odd_ints) |
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183 { |
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184 mp_digit *mResult; |
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185 double *dBuf = 0, *dm1, *dn, *dSqr, *d16Tmp, *dTmp; |
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186 double dn0; |
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187 mp_size i; |
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188 mp_err res; |
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189 int expOff; |
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190 int dSize = 0, oddPowSize, dTmpSize; |
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191 mp_int accum1; |
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192 double *oddPowers[MAX_ODD_INTS]; |
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193 |
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194 /* function for computing n0prime only works if n0 is odd */ |
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195 |
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196 MP_DIGITS(&accum1) = 0; |
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197 |
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198 for (i = 0; i < MAX_ODD_INTS; ++i) |
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199 oddPowers[i] = 0; |
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200 |
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201 MP_CHECKOK( mp_init_size(&accum1, 3 * nLen + 2) ); |
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202 |
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203 mp_set(&accum1, 1); |
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204 MP_CHECKOK( s_mp_to_mont(&accum1, mmm, &accum1) ); |
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205 MP_CHECKOK( s_mp_pad(&accum1, nLen) ); |
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206 |
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207 oddPowSize = 2 * nLen + 1; |
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208 dTmpSize = 2 * oddPowSize; |
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209 dSize = sizeof(double) * (nLen * 4 + 1 + |
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210 ((odd_ints + 1) * oddPowSize) + dTmpSize); |
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211 dBuf = (double *)malloc(dSize); |
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212 dm1 = dBuf; /* array of d32 */ |
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213 dn = dBuf + nLen; /* array of d32 */ |
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214 dSqr = dn + nLen; /* array of d32 */ |
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215 d16Tmp = dSqr + nLen; /* array of d16 */ |
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216 dTmp = d16Tmp + oddPowSize; |
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217 |
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218 for (i = 0; i < odd_ints; ++i) { |
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219 oddPowers[i] = dTmp; |
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220 dTmp += oddPowSize; |
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221 } |
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222 mResult = (mp_digit *)(dTmp + dTmpSize); /* size is nLen + 1 */ |
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223 |
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224 /* Make dn and dn0 */ |
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225 conv_i32_to_d32(dn, MP_DIGITS(modulus), nLen); |
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226 dn0 = (double)(mmm->n0prime & 0xffff); |
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227 |
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228 /* Make dSqr */ |
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229 conv_i32_to_d32_and_d16(dm1, oddPowers[0], MP_DIGITS(montBase), nLen); |
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230 mont_mulf_noconv(mResult, dm1, oddPowers[0], |
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231 dTmp, dn, MP_DIGITS(modulus), nLen, dn0); |
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232 conv_i32_to_d32(dSqr, mResult, nLen); |
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233 |
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234 for (i = 1; i < odd_ints; ++i) { |
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235 mont_mulf_noconv(mResult, dSqr, oddPowers[i - 1], |
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236 dTmp, dn, MP_DIGITS(modulus), nLen, dn0); |
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237 conv_i32_to_d16(oddPowers[i], mResult, nLen); |
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238 } |
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239 |
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240 s_mp_copy(MP_DIGITS(&accum1), mResult, nLen); /* from, to, len */ |
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241 |
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242 for (expOff = bits_in_exponent - window_bits; expOff >= 0; expOff -= window_bits) { |
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243 mp_size smallExp; |
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244 MP_CHECKOK( mpl_get_bits(exponent, expOff, window_bits) ); |
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245 smallExp = (mp_size)res; |
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246 |
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247 if (window_bits == 1) { |
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248 if (!smallExp) { |
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249 SQR; |
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250 } else if (smallExp & 1) { |
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251 SQR; MUL(0); |
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252 } else { |
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253 abort(); |
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254 } |
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255 } else if (window_bits == 4) { |
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256 if (!smallExp) { |
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257 SQR; SQR; SQR; SQR; |
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258 } else if (smallExp & 1) { |
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259 SQR; SQR; SQR; SQR; MUL(smallExp/2); |
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260 } else if (smallExp & 2) { |
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261 SQR; SQR; SQR; MUL(smallExp/4); SQR; |
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262 } else if (smallExp & 4) { |
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263 SQR; SQR; MUL(smallExp/8); SQR; SQR; |
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264 } else if (smallExp & 8) { |
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265 SQR; MUL(smallExp/16); SQR; SQR; SQR; |
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266 } else { |
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267 abort(); |
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268 } |
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269 } else if (window_bits == 5) { |
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270 if (!smallExp) { |
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271 SQR; SQR; SQR; SQR; SQR; |
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272 } else if (smallExp & 1) { |
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273 SQR; SQR; SQR; SQR; SQR; MUL(smallExp/2); |
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274 } else if (smallExp & 2) { |
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275 SQR; SQR; SQR; SQR; MUL(smallExp/4); SQR; |
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276 } else if (smallExp & 4) { |
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277 SQR; SQR; SQR; MUL(smallExp/8); SQR; SQR; |
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278 } else if (smallExp & 8) { |
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279 SQR; SQR; MUL(smallExp/16); SQR; SQR; SQR; |
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280 } else if (smallExp & 0x10) { |
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281 SQR; MUL(smallExp/32); SQR; SQR; SQR; SQR; |
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282 } else { |
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283 abort(); |
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284 } |
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285 } else if (window_bits == 6) { |
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286 if (!smallExp) { |
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287 SQR; SQR; SQR; SQR; SQR; SQR; |
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288 } else if (smallExp & 1) { |
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289 SQR; SQR; SQR; SQR; SQR; SQR; MUL(smallExp/2); |
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290 } else if (smallExp & 2) { |
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291 SQR; SQR; SQR; SQR; SQR; MUL(smallExp/4); SQR; |
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292 } else if (smallExp & 4) { |
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293 SQR; SQR; SQR; SQR; MUL(smallExp/8); SQR; SQR; |
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294 } else if (smallExp & 8) { |
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295 SQR; SQR; SQR; MUL(smallExp/16); SQR; SQR; SQR; |
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296 } else if (smallExp & 0x10) { |
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297 SQR; SQR; MUL(smallExp/32); SQR; SQR; SQR; SQR; |
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298 } else if (smallExp & 0x20) { |
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299 SQR; MUL(smallExp/64); SQR; SQR; SQR; SQR; SQR; |
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300 } else { |
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301 abort(); |
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302 } |
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303 } else { |
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304 abort(); |
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305 } |
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306 } |
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307 |
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308 s_mp_copy(mResult, MP_DIGITS(&accum1), nLen); /* from, to, len */ |
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309 |
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310 res = s_mp_redc(&accum1, mmm); |
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311 mp_exch(&accum1, result); |
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312 |
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313 CLEANUP: |
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314 mp_clear(&accum1); |
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315 if (dBuf) { |
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316 if (dSize) |
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317 memset(dBuf, 0, dSize); |
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318 free(dBuf); |
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319 } |
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320 |
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321 return res; |
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322 } |
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323 #undef SQR |
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324 #undef MUL |
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325 #endif |
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326 |
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327 #define SQR(a,b) \ |
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328 MP_CHECKOK( mp_sqr(a, b) );\ |
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329 MP_CHECKOK( s_mp_redc(b, mmm) ) |
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330 |
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331 #if defined(MP_MONT_USE_MP_MUL) |
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332 #define MUL(x,a,b) \ |
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333 MP_CHECKOK( mp_mul(a, oddPowers + (x), b) ); \ |
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334 MP_CHECKOK( s_mp_redc(b, mmm) ) |
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335 #else |
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336 #define MUL(x,a,b) \ |
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337 MP_CHECKOK( s_mp_mul_mont(a, oddPowers + (x), b, mmm) ) |
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338 #endif |
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339 |
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340 #define SWAPPA ptmp = pa1; pa1 = pa2; pa2 = ptmp |
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341 |
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342 /* Do modular exponentiation using integer multiply code. */ |
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343 mp_err mp_exptmod_i(const mp_int * montBase, |
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344 const mp_int * exponent, |
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345 const mp_int * modulus, |
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346 mp_int * result, |
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347 mp_mont_modulus *mmm, |
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348 int nLen, |
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349 mp_size bits_in_exponent, |
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350 mp_size window_bits, |
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351 mp_size odd_ints) |
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352 { |
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353 mp_int *pa1, *pa2, *ptmp; |
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354 mp_size i; |
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355 mp_err res; |
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356 int expOff; |
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357 mp_int accum1, accum2, power2, oddPowers[MAX_ODD_INTS]; |
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358 |
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359 /* power2 = base ** 2; oddPowers[i] = base ** (2*i + 1); */ |
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360 /* oddPowers[i] = base ** (2*i + 1); */ |
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361 |
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362 MP_DIGITS(&accum1) = 0; |
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363 MP_DIGITS(&accum2) = 0; |
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364 MP_DIGITS(&power2) = 0; |
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365 for (i = 0; i < MAX_ODD_INTS; ++i) { |
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366 MP_DIGITS(oddPowers + i) = 0; |
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367 } |
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368 |
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369 MP_CHECKOK( mp_init_size(&accum1, 3 * nLen + 2) ); |
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370 MP_CHECKOK( mp_init_size(&accum2, 3 * nLen + 2) ); |
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371 |
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372 MP_CHECKOK( mp_init_copy(&oddPowers[0], montBase) ); |
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373 |
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374 mp_init_size(&power2, nLen + 2 * MP_USED(montBase) + 2); |
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375 MP_CHECKOK( mp_sqr(montBase, &power2) ); /* power2 = montBase ** 2 */ |
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376 MP_CHECKOK( s_mp_redc(&power2, mmm) ); |
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377 |
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378 for (i = 1; i < odd_ints; ++i) { |
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379 mp_init_size(oddPowers + i, nLen + 2 * MP_USED(&power2) + 2); |
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380 MP_CHECKOK( mp_mul(oddPowers + (i - 1), &power2, oddPowers + i) ); |
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381 MP_CHECKOK( s_mp_redc(oddPowers + i, mmm) ); |
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382 } |
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383 |
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384 /* set accumulator to montgomery residue of 1 */ |
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385 mp_set(&accum1, 1); |
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386 MP_CHECKOK( s_mp_to_mont(&accum1, mmm, &accum1) ); |
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387 pa1 = &accum1; |
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388 pa2 = &accum2; |
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389 |
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390 for (expOff = bits_in_exponent - window_bits; expOff >= 0; expOff -= window_bits) { |
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391 mp_size smallExp; |
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392 MP_CHECKOK( mpl_get_bits(exponent, expOff, window_bits) ); |
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393 smallExp = (mp_size)res; |
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394 |
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395 if (window_bits == 1) { |
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396 if (!smallExp) { |
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397 SQR(pa1,pa2); SWAPPA; |
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398 } else if (smallExp & 1) { |
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399 SQR(pa1,pa2); MUL(0,pa2,pa1); |
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400 } else { |
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401 abort(); |
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402 } |
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403 } else if (window_bits == 4) { |
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404 if (!smallExp) { |
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405 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
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406 } else if (smallExp & 1) { |
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407 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
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408 MUL(smallExp/2, pa1,pa2); SWAPPA; |
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409 } else if (smallExp & 2) { |
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410 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); |
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411 MUL(smallExp/4,pa2,pa1); SQR(pa1,pa2); SWAPPA; |
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412 } else if (smallExp & 4) { |
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413 SQR(pa1,pa2); SQR(pa2,pa1); MUL(smallExp/8,pa1,pa2); |
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414 SQR(pa2,pa1); SQR(pa1,pa2); SWAPPA; |
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415 } else if (smallExp & 8) { |
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416 SQR(pa1,pa2); MUL(smallExp/16,pa2,pa1); SQR(pa1,pa2); |
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417 SQR(pa2,pa1); SQR(pa1,pa2); SWAPPA; |
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418 } else { |
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419 abort(); |
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420 } |
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421 } else if (window_bits == 5) { |
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422 if (!smallExp) { |
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423 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
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424 SQR(pa1,pa2); SWAPPA; |
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425 } else if (smallExp & 1) { |
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426 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
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427 SQR(pa1,pa2); MUL(smallExp/2,pa2,pa1); |
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428 } else if (smallExp & 2) { |
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429 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
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430 MUL(smallExp/4,pa1,pa2); SQR(pa2,pa1); |
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431 } else if (smallExp & 4) { |
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432 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); |
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433 MUL(smallExp/8,pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
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434 } else if (smallExp & 8) { |
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435 SQR(pa1,pa2); SQR(pa2,pa1); MUL(smallExp/16,pa1,pa2); |
1e5118fa0cb1
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436 SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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437 } else if (smallExp & 0x10) { |
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438 SQR(pa1,pa2); MUL(smallExp/32,pa2,pa1); SQR(pa1,pa2); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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439 SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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440 } else { |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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441 abort(); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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442 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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443 } else if (window_bits == 6) { |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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444 if (!smallExp) { |
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This is NSS with a Cmake Buildsyste
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445 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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446 SQR(pa1,pa2); SQR(pa2,pa1); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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447 } else if (smallExp & 1) { |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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448 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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449 SQR(pa1,pa2); SQR(pa2,pa1); MUL(smallExp/2,pa1,pa2); SWAPPA; |
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450 } else if (smallExp & 2) { |
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451 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
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452 SQR(pa1,pa2); MUL(smallExp/4,pa2,pa1); SQR(pa1,pa2); SWAPPA; |
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453 } else if (smallExp & 4) { |
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454 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
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455 MUL(smallExp/8,pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SWAPPA; |
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456 } else if (smallExp & 8) { |
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457 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); |
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458 MUL(smallExp/16,pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
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459 SQR(pa1,pa2); SWAPPA; |
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460 } else if (smallExp & 0x10) { |
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461 SQR(pa1,pa2); SQR(pa2,pa1); MUL(smallExp/32,pa1,pa2); |
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462 SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SWAPPA; |
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463 } else if (smallExp & 0x20) { |
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464 SQR(pa1,pa2); MUL(smallExp/64,pa2,pa1); SQR(pa1,pa2); |
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465 SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SWAPPA; |
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466 } else { |
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467 abort(); |
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468 } |
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469 } else { |
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470 abort(); |
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471 } |
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472 } |
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473 |
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474 res = s_mp_redc(pa1, mmm); |
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475 mp_exch(pa1, result); |
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476 |
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477 CLEANUP: |
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478 mp_clear(&accum1); |
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479 mp_clear(&accum2); |
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480 mp_clear(&power2); |
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481 for (i = 0; i < odd_ints; ++i) { |
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482 mp_clear(oddPowers + i); |
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483 } |
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484 return res; |
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485 } |
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486 #undef SQR |
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487 #undef MUL |
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488 |
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489 #ifdef MP_USING_CACHE_SAFE_MOD_EXP |
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490 unsigned int mp_using_cache_safe_exp = 1; |
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491 #endif |
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492 |
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493 mp_err mp_set_safe_modexp(int value) |
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494 { |
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495 #ifdef MP_USING_CACHE_SAFE_MOD_EXP |
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496 mp_using_cache_safe_exp = value; |
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497 return MP_OKAY; |
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498 #else |
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499 if (value == 0) { |
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500 return MP_OKAY; |
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501 } |
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502 return MP_BADARG; |
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503 #endif |
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504 } |
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505 |
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506 #ifdef MP_USING_CACHE_SAFE_MOD_EXP |
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507 #define WEAVE_WORD_SIZE 4 |
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508 |
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509 #ifndef MP_CHAR_STORE_SLOW |
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510 /* |
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511 * mpi_to_weave takes an array of bignums, a matrix in which each bignum |
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512 * occupies all the columns of a row, and transposes it into a matrix in |
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513 * which each bignum occupies a column of every row. The first row of the |
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514 * input matrix becomes the first column of the output matrix. The n'th |
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515 * row of input becomes the n'th column of output. The input data is said |
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516 * to be "interleaved" or "woven" into the output matrix. |
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517 * |
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518 * The array of bignums is left in this woven form. Each time a single |
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519 * bignum value is needed, it is recreated by fetching the n'th column, |
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520 * forming a single row which is the new bignum. |
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521 * |
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522 * The purpose of this interleaving is make it impossible to determine which |
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523 * of the bignums is being used in any one operation by examining the pattern |
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524 * of cache misses. |
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525 * |
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526 * The weaving function does not transpose the entire input matrix in one call. |
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527 * It transposes 4 rows of mp_ints into their respective columns of output. |
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528 * |
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529 * There are two different implementations of the weaving and unweaving code |
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530 * in this file. One uses byte loads and stores. The second uses loads and |
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531 * stores of mp_weave_word size values. The weaved forms of these two |
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532 * implementations differ. Consequently, each one has its own explanation. |
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533 * |
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534 * Here is the explanation for the byte-at-a-time implementation. |
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535 * |
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536 * This implementation treats each mp_int bignum as an array of bytes, |
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537 * rather than as an array of mp_digits. It stores those bytes as a |
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538 * column of bytes in the output matrix. It doesn't care if the machine |
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539 * uses big-endian or little-endian byte ordering within mp_digits. |
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540 * The first byte of the mp_digit array becomes the first byte in the output |
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541 * column, regardless of whether that byte is the MSB or LSB of the mp_digit. |
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542 * |
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543 * "bignums" is an array of mp_ints. |
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544 * It points to four rows, four mp_ints, a subset of a larger array of mp_ints. |
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545 * |
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546 * "weaved" is the weaved output matrix. |
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547 * The first byte of bignums[0] is stored in weaved[0]. |
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548 * |
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549 * "nBignums" is the total number of bignums in the array of which "bignums" |
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550 * is a part. |
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551 * |
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552 * "nDigits" is the size in mp_digits of each mp_int in the "bignums" array. |
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553 * mp_ints that use less than nDigits digits are logically padded with zeros |
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554 * while being stored in the weaved array. |
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555 */ |
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556 mp_err mpi_to_weave(const mp_int *bignums, |
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557 unsigned char *weaved, |
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558 mp_size nDigits, /* in each mp_int of input */ |
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559 mp_size nBignums) /* in the entire source array */ |
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560 { |
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561 mp_size i; |
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562 unsigned char * endDest = weaved + (nDigits * nBignums * sizeof(mp_digit)); |
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563 |
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564 for (i=0; i < WEAVE_WORD_SIZE; i++) { |
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565 mp_size used = MP_USED(&bignums[i]); |
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566 unsigned char *pSrc = (unsigned char *)MP_DIGITS(&bignums[i]); |
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567 unsigned char *endSrc = pSrc + (used * sizeof(mp_digit)); |
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568 unsigned char *pDest = weaved + i; |
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569 |
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570 ARGCHK(MP_SIGN(&bignums[i]) == MP_ZPOS, MP_BADARG); |
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571 ARGCHK(used <= nDigits, MP_BADARG); |
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572 |
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573 for (; pSrc < endSrc; pSrc++) { |
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574 *pDest = *pSrc; |
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575 pDest += nBignums; |
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576 } |
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577 while (pDest < endDest) { |
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578 *pDest = 0; |
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579 pDest += nBignums; |
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580 } |
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581 } |
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582 |
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583 return MP_OKAY; |
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584 } |
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585 |
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586 /* Reverse the operation above for one mp_int. |
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587 * Reconstruct one mp_int from its column in the weaved array. |
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588 * "pSrc" points to the offset into the weave array of the bignum we |
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589 * are going to reconstruct. |
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590 */ |
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591 mp_err weave_to_mpi(mp_int *a, /* output, result */ |
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592 const unsigned char *pSrc, /* input, byte matrix */ |
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593 mp_size nDigits, /* per mp_int output */ |
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594 mp_size nBignums) /* bignums in weaved matrix */ |
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595 { |
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596 unsigned char *pDest = (unsigned char *)MP_DIGITS(a); |
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597 unsigned char *endDest = pDest + (nDigits * sizeof(mp_digit)); |
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598 |
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599 MP_SIGN(a) = MP_ZPOS; |
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600 MP_USED(a) = nDigits; |
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601 |
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602 for (; pDest < endDest; pSrc += nBignums, pDest++) { |
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603 *pDest = *pSrc; |
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604 } |
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605 s_mp_clamp(a); |
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606 return MP_OKAY; |
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607 } |
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608 |
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609 #else |
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610 |
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611 /* Need a primitive that we know is 32 bits long... */ |
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612 /* this is true on all modern processors we know of today*/ |
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613 typedef unsigned int mp_weave_word; |
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614 |
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615 /* |
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616 * on some platforms character stores into memory is very expensive since they |
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617 * generate a read/modify/write operation on the bus. On those platforms |
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618 * we need to do integer writes to the bus. Because of some unrolled code, |
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619 * in this current code the size of mp_weave_word must be four. The code that |
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620 * makes this assumption explicity is called out. (on some platforms a write |
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621 * of 4 bytes still requires a single read-modify-write operation. |
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622 * |
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623 * This function is takes the identical parameters as the function above, |
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624 * however it lays out the final array differently. Where the previous function |
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625 * treats the mpi_int as an byte array, this function treats it as an array of |
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626 * mp_digits where each digit is stored in big endian order. |
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627 * |
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628 * since we need to interleave on a byte by byte basis, we need to collect |
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629 * several mpi structures together into a single PRUint32 before we write. We |
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630 * also need to make sure the PRUint32 is arranged so that the first value of |
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631 * the first array winds up in b[0]. This means construction of that PRUint32 |
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632 * is endian specific (even though the layout of the mp_digits in the array |
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633 * is always big endian). |
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634 * |
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635 * The final data is stored as follows : |
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636 * |
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637 * Our same logical array p array, m is sizeof(mp_digit), |
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638 * N is still count and n is now b_size. If we define p[i].digit[j]0 as the |
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639 * most significant byte of the word p[i].digit[j], p[i].digit[j]1 as |
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640 * the next most significant byte of p[i].digit[j], ... and p[i].digit[j]m-1 |
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641 * is the least significant byte. |
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642 * Our array would look like: |
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643 * p[0].digit[0]0 p[1].digit[0]0 ... p[N-2].digit[0]0 p[N-1].digit[0]0 |
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644 * p[0].digit[0]1 p[1].digit[0]1 ... p[N-2].digit[0]1 p[N-1].digit[0]1 |
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645 * . . |
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646 * p[0].digit[0]m-1 p[1].digit[0]m-1 ... p[N-2].digit[0]m-1 p[N-1].digit[0]m-1 |
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647 * p[0].digit[1]0 p[1].digit[1]0 ... p[N-2].digit[1]0 p[N-1].digit[1]0 |
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648 * . . |
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649 * . . |
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650 * p[0].digit[n-1]m-2 p[1].digit[n-1]m-2 ... p[N-2].digit[n-1]m-2 p[N-1].digit[n-1]m-2 |
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651 * p[0].digit[n-1]m-1 p[1].digit[n-1]m-1 ... p[N-2].digit[n-1]m-1 p[N-1].digit[n-1]m-1 |
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652 * |
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653 */ |
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654 mp_err mpi_to_weave(const mp_int *a, unsigned char *b, |
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655 mp_size b_size, mp_size count) |
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656 { |
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657 mp_size i; |
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658 mp_digit *digitsa0; |
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659 mp_digit *digitsa1; |
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660 mp_digit *digitsa2; |
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661 mp_digit *digitsa3; |
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662 mp_size useda0; |
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663 mp_size useda1; |
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664 mp_size useda2; |
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665 mp_size useda3; |
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666 mp_weave_word *weaved = (mp_weave_word *)b; |
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667 |
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668 count = count/sizeof(mp_weave_word); |
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669 |
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670 /* this code pretty much depends on this ! */ |
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671 #if MP_ARGCHK == 2 |
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672 assert(WEAVE_WORD_SIZE == 4); |
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673 assert(sizeof(mp_weave_word) == 4); |
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674 #endif |
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675 |
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676 digitsa0 = MP_DIGITS(&a[0]); |
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677 digitsa1 = MP_DIGITS(&a[1]); |
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678 digitsa2 = MP_DIGITS(&a[2]); |
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679 digitsa3 = MP_DIGITS(&a[3]); |
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680 useda0 = MP_USED(&a[0]); |
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681 useda1 = MP_USED(&a[1]); |
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682 useda2 = MP_USED(&a[2]); |
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683 useda3 = MP_USED(&a[3]); |
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684 |
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685 ARGCHK(MP_SIGN(&a[0]) == MP_ZPOS, MP_BADARG); |
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686 ARGCHK(MP_SIGN(&a[1]) == MP_ZPOS, MP_BADARG); |
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687 ARGCHK(MP_SIGN(&a[2]) == MP_ZPOS, MP_BADARG); |
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688 ARGCHK(MP_SIGN(&a[3]) == MP_ZPOS, MP_BADARG); |
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689 ARGCHK(useda0 <= b_size, MP_BADARG); |
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690 ARGCHK(useda1 <= b_size, MP_BADARG); |
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691 ARGCHK(useda2 <= b_size, MP_BADARG); |
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692 ARGCHK(useda3 <= b_size, MP_BADARG); |
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693 |
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694 #define SAFE_FETCH(digit, used, word) ((word) < (used) ? (digit[word]) : 0) |
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695 |
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696 for (i=0; i < b_size; i++) { |
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697 mp_digit d0 = SAFE_FETCH(digitsa0,useda0,i); |
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698 mp_digit d1 = SAFE_FETCH(digitsa1,useda1,i); |
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699 mp_digit d2 = SAFE_FETCH(digitsa2,useda2,i); |
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700 mp_digit d3 = SAFE_FETCH(digitsa3,useda3,i); |
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701 register mp_weave_word acc; |
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702 |
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703 /* |
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704 * ONE_STEP takes the MSB of each of our current digits and places that |
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705 * byte in the appropriate position for writing to the weaved array. |
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706 * On little endian: |
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707 * b3 b2 b1 b0 |
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708 * On big endian: |
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709 * b0 b1 b2 b3 |
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710 * When the data is written it would always wind up: |
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711 * b[0] = b0 |
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712 * b[1] = b1 |
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713 * b[2] = b2 |
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|
714 * b[3] = b3 |
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|
715 * |
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|
716 * Once we've written the MSB, we shift the whole digit up left one |
1e5118fa0cb1
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|
717 * byte, putting the Next Most Significant Byte in the MSB position, |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
718 * so we we repeat the next one step that byte will be written. |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
719 * NOTE: This code assumes sizeof(mp_weave_word) and MP_WEAVE_WORD_SIZE |
1e5118fa0cb1
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|
720 * is 4. |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
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|
721 */ |
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|
722 #ifdef MP_IS_LITTLE_ENDIAN |
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|
723 #define MPI_WEAVE_ONE_STEP \ |
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|
724 acc = (d0 >> (MP_DIGIT_BIT-8)) & 0x000000ff; d0 <<= 8; /*b0*/ \ |
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|
725 acc |= (d1 >> (MP_DIGIT_BIT-16)) & 0x0000ff00; d1 <<= 8; /*b1*/ \ |
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|
726 acc |= (d2 >> (MP_DIGIT_BIT-24)) & 0x00ff0000; d2 <<= 8; /*b2*/ \ |
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|
727 acc |= (d3 >> (MP_DIGIT_BIT-32)) & 0xff000000; d3 <<= 8; /*b3*/ \ |
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|
728 *weaved = acc; weaved += count; |
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|
729 #else |
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|
730 #define MPI_WEAVE_ONE_STEP \ |
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731 acc = (d0 >> (MP_DIGIT_BIT-32)) & 0xff000000; d0 <<= 8; /*b0*/ \ |
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|
732 acc |= (d1 >> (MP_DIGIT_BIT-24)) & 0x00ff0000; d1 <<= 8; /*b1*/ \ |
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parents:
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|
733 acc |= (d2 >> (MP_DIGIT_BIT-16)) & 0x0000ff00; d2 <<= 8; /*b2*/ \ |
1e5118fa0cb1
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parents:
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|
734 acc |= (d3 >> (MP_DIGIT_BIT-8)) & 0x000000ff; d3 <<= 8; /*b3*/ \ |
1e5118fa0cb1
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parents:
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|
735 *weaved = acc; weaved += count; |
1e5118fa0cb1
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parents:
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|
736 #endif |
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|
737 switch (sizeof(mp_digit)) { |
1e5118fa0cb1
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parents:
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|
738 case 32: |
1e5118fa0cb1
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parents:
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|
739 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
740 MPI_WEAVE_ONE_STEP |
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parents:
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|
741 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
742 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
743 MPI_WEAVE_ONE_STEP |
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parents:
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|
744 MPI_WEAVE_ONE_STEP |
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|
745 MPI_WEAVE_ONE_STEP |
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parents:
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|
746 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
747 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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changeset
|
748 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
749 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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changeset
|
750 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
751 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
752 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
753 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
754 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
755 case 16: |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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changeset
|
756 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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changeset
|
757 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
758 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
759 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
760 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
761 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
762 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
763 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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changeset
|
764 case 8: |
1e5118fa0cb1
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parents:
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|
765 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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changeset
|
766 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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changeset
|
767 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
768 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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changeset
|
769 case 4: |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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changeset
|
770 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
771 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
diff
changeset
|
772 case 2: |
1e5118fa0cb1
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parents:
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changeset
|
773 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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changeset
|
774 case 1: |
1e5118fa0cb1
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parents:
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changeset
|
775 MPI_WEAVE_ONE_STEP |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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changeset
|
776 break; |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
777 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
778 } |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
779 |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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changeset
|
780 return MP_OKAY; |
1e5118fa0cb1
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parents:
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|
781 } |
1e5118fa0cb1
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parents:
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changeset
|
782 |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
diff
changeset
|
783 /* reverse the operation above for one entry. |
1e5118fa0cb1
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parents:
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changeset
|
784 * b points to the offset into the weave array of the power we are |
1e5118fa0cb1
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parents:
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|
785 * calculating */ |
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|
786 mp_err weave_to_mpi(mp_int *a, const unsigned char *b, |
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parents:
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|
787 mp_size b_size, mp_size count) |
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|
788 { |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
789 mp_digit *pb = MP_DIGITS(a); |
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|
790 mp_digit *end = &pb[b_size]; |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
791 |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
792 MP_SIGN(a) = MP_ZPOS; |
1e5118fa0cb1
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|
793 MP_USED(a) = b_size; |
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|
794 |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
795 for (; pb < end; pb++) { |
1e5118fa0cb1
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changeset
|
796 register mp_digit digit; |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
797 |
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|
798 digit = *b << 8; b += count; |
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|
799 #define MPI_UNWEAVE_ONE_STEP digit |= *b; b += count; digit = digit << 8; |
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|
800 switch (sizeof(mp_digit)) { |
1e5118fa0cb1
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|
801 case 32: |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
802 MPI_UNWEAVE_ONE_STEP |
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parents:
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|
803 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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|
804 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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|
805 MPI_UNWEAVE_ONE_STEP |
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parents:
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changeset
|
806 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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|
807 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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|
808 MPI_UNWEAVE_ONE_STEP |
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changeset
|
809 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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parents:
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|
810 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
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changeset
|
811 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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parents:
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|
812 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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|
813 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
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|
814 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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changeset
|
815 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
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|
816 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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|
817 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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Andre Heinecke <andre.heinecke@intevation.de>
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|
818 case 16: |
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
819 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
This is NSS with a Cmake Buildsyste
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|
820 MPI_UNWEAVE_ONE_STEP |
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|
821 MPI_UNWEAVE_ONE_STEP |
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|
822 MPI_UNWEAVE_ONE_STEP |
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Andre Heinecke <andre.heinecke@intevation.de>
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changeset
|
823 MPI_UNWEAVE_ONE_STEP |
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|
824 MPI_UNWEAVE_ONE_STEP |
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parents:
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|
825 MPI_UNWEAVE_ONE_STEP |
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Andre Heinecke <andre.heinecke@intevation.de>
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changeset
|
826 MPI_UNWEAVE_ONE_STEP |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
827 case 8: |
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|
828 MPI_UNWEAVE_ONE_STEP |
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changeset
|
829 MPI_UNWEAVE_ONE_STEP |
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Andre Heinecke <andre.heinecke@intevation.de>
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changeset
|
830 MPI_UNWEAVE_ONE_STEP |
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parents:
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|
831 MPI_UNWEAVE_ONE_STEP |
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This is NSS with a Cmake Buildsyste
Andre Heinecke <andre.heinecke@intevation.de>
parents:
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|
832 case 4: |
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Andre Heinecke <andre.heinecke@intevation.de>
parents:
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changeset
|
833 MPI_UNWEAVE_ONE_STEP |
1e5118fa0cb1
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|
834 MPI_UNWEAVE_ONE_STEP |
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changeset
|
835 case 2: |
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|
836 break; |
1e5118fa0cb1
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parents:
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|
837 } |
1e5118fa0cb1
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parents:
diff
changeset
|
838 digit |= *b; b += count; |
1e5118fa0cb1
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parents:
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|
839 |
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This is NSS with a Cmake Buildsyste
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|
840 *pb = digit; |
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|
841 } |
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|
842 s_mp_clamp(a); |
1e5118fa0cb1
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|
843 return MP_OKAY; |
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parents:
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|
844 } |
1e5118fa0cb1
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parents:
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|
845 #endif |
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parents:
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|
846 |
1e5118fa0cb1
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parents:
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changeset
|
847 |
1e5118fa0cb1
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parents:
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changeset
|
848 #define SQR(a,b) \ |
1e5118fa0cb1
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|
849 MP_CHECKOK( mp_sqr(a, b) );\ |
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parents:
diff
changeset
|
850 MP_CHECKOK( s_mp_redc(b, mmm) ) |
1e5118fa0cb1
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parents:
diff
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|
851 |
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parents:
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|
852 #if defined(MP_MONT_USE_MP_MUL) |
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parents:
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|
853 #define MUL_NOWEAVE(x,a,b) \ |
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parents:
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|
854 MP_CHECKOK( mp_mul(a, x, b) ); \ |
1e5118fa0cb1
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parents:
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|
855 MP_CHECKOK( s_mp_redc(b, mmm) ) |
1e5118fa0cb1
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parents:
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|
856 #else |
1e5118fa0cb1
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parents:
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changeset
|
857 #define MUL_NOWEAVE(x,a,b) \ |
1e5118fa0cb1
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|
858 MP_CHECKOK( s_mp_mul_mont(a, x, b, mmm) ) |
1e5118fa0cb1
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|
859 #endif |
1e5118fa0cb1
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|
860 |
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parents:
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|
861 #define MUL(x,a,b) \ |
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862 MP_CHECKOK( weave_to_mpi(&tmp, powers + (x), nLen, num_powers) ); \ |
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|
863 MUL_NOWEAVE(&tmp,a,b) |
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parents:
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|
864 |
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865 #define SWAPPA ptmp = pa1; pa1 = pa2; pa2 = ptmp |
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866 #define MP_ALIGN(x,y) ((((ptrdiff_t)(x))+((y)-1))&(((ptrdiff_t)0)-(y))) |
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|
867 |
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parents:
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|
868 /* Do modular exponentiation using integer multiply code. */ |
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|
869 mp_err mp_exptmod_safe_i(const mp_int * montBase, |
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parents:
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|
870 const mp_int * exponent, |
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|
871 const mp_int * modulus, |
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|
872 mp_int * result, |
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|
873 mp_mont_modulus *mmm, |
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|
874 int nLen, |
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|
875 mp_size bits_in_exponent, |
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parents:
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changeset
|
876 mp_size window_bits, |
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parents:
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|
877 mp_size num_powers) |
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|
878 { |
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|
879 mp_int *pa1, *pa2, *ptmp; |
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|
880 mp_size i; |
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|
881 mp_size first_window; |
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|
882 mp_err res; |
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|
883 int expOff; |
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884 mp_int accum1, accum2, accum[WEAVE_WORD_SIZE]; |
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885 mp_int tmp; |
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|
886 unsigned char *powersArray; |
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|
887 unsigned char *powers; |
1e5118fa0cb1
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|
888 |
1e5118fa0cb1
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|
889 MP_DIGITS(&accum1) = 0; |
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|
890 MP_DIGITS(&accum2) = 0; |
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parents:
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|
891 MP_DIGITS(&accum[0]) = 0; |
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|
892 MP_DIGITS(&accum[1]) = 0; |
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893 MP_DIGITS(&accum[2]) = 0; |
1e5118fa0cb1
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changeset
|
894 MP_DIGITS(&accum[3]) = 0; |
1e5118fa0cb1
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|
895 MP_DIGITS(&tmp) = 0; |
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896 |
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897 powersArray = (unsigned char *)malloc(num_powers*(nLen*sizeof(mp_digit)+1)); |
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|
898 if (powersArray == NULL) { |
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|
899 res = MP_MEM; |
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900 goto CLEANUP; |
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|
901 } |
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|
902 |
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|
903 /* powers[i] = base ** (i); */ |
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|
904 powers = (unsigned char *)MP_ALIGN(powersArray,num_powers); |
1e5118fa0cb1
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|
905 |
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|
906 /* grab the first window value. This allows us to preload accumulator1 |
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|
907 * and save a conversion, some squares and a multiple*/ |
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|
908 MP_CHECKOK( mpl_get_bits(exponent, |
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|
909 bits_in_exponent-window_bits, window_bits) ); |
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|
910 first_window = (mp_size)res; |
1e5118fa0cb1
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|
911 |
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|
912 MP_CHECKOK( mp_init_size(&accum1, 3 * nLen + 2) ); |
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913 MP_CHECKOK( mp_init_size(&accum2, 3 * nLen + 2) ); |
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|
914 MP_CHECKOK( mp_init_size(&tmp, 3 * nLen + 2) ); |
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|
915 |
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|
916 /* build the first WEAVE_WORD powers inline */ |
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|
917 /* if WEAVE_WORD_SIZE is not 4, this code will have to change */ |
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|
918 if (num_powers > 2) { |
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919 MP_CHECKOK( mp_init_size(&accum[0], 3 * nLen + 2) ); |
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|
920 MP_CHECKOK( mp_init_size(&accum[1], 3 * nLen + 2) ); |
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921 MP_CHECKOK( mp_init_size(&accum[2], 3 * nLen + 2) ); |
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|
922 MP_CHECKOK( mp_init_size(&accum[3], 3 * nLen + 2) ); |
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|
923 mp_set(&accum[0], 1); |
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924 MP_CHECKOK( s_mp_to_mont(&accum[0], mmm, &accum[0]) ); |
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|
925 MP_CHECKOK( mp_copy(montBase, &accum[1]) ); |
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926 SQR(montBase, &accum[2]); |
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927 MUL_NOWEAVE(montBase, &accum[2], &accum[3]); |
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928 MP_CHECKOK( mpi_to_weave(accum, powers, nLen, num_powers) ); |
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929 if (first_window < 4) { |
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930 MP_CHECKOK( mp_copy(&accum[first_window], &accum1) ); |
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|
931 first_window = num_powers; |
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|
932 } |
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933 } else { |
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|
934 if (first_window == 0) { |
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|
935 mp_set(&accum1, 1); |
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936 MP_CHECKOK( s_mp_to_mont(&accum1, mmm, &accum1) ); |
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937 } else { |
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|
938 /* assert first_window == 1? */ |
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939 MP_CHECKOK( mp_copy(montBase, &accum1) ); |
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940 } |
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|
941 } |
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|
942 |
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|
943 /* |
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|
944 * calculate all the powers in the powers array. |
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945 * this adds 2**(k-1)-2 square operations over just calculating the |
1e5118fa0cb1
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946 * odd powers where k is the window size in the two other mp_modexpt |
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|
947 * implementations in this file. We will get some of that |
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948 * back by not needing the first 'k' squares and one multiply for the |
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949 * first window */ |
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950 for (i = WEAVE_WORD_SIZE; i < num_powers; i++) { |
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951 int acc_index = i & (WEAVE_WORD_SIZE-1); /* i % WEAVE_WORD_SIZE */ |
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952 if ( i & 1 ) { |
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953 MUL_NOWEAVE(montBase, &accum[acc_index-1] , &accum[acc_index]); |
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954 /* we've filled the array do our 'per array' processing */ |
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955 if (acc_index == (WEAVE_WORD_SIZE-1)) { |
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956 MP_CHECKOK( mpi_to_weave(accum, powers + i - (WEAVE_WORD_SIZE-1), |
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957 nLen, num_powers) ); |
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958 |
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959 if (first_window <= i) { |
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960 MP_CHECKOK( mp_copy(&accum[first_window & (WEAVE_WORD_SIZE-1)], |
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961 &accum1) ); |
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|
962 first_window = num_powers; |
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963 } |
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964 } |
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|
965 } else { |
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966 /* up to 8 we can find 2^i-1 in the accum array, but at 8 we our source |
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967 * and target are the same so we need to copy.. After that, the |
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968 * value is overwritten, so we need to fetch it from the stored |
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969 * weave array */ |
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970 if (i > 2* WEAVE_WORD_SIZE) { |
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971 MP_CHECKOK(weave_to_mpi(&accum2, powers+i/2, nLen, num_powers)); |
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972 SQR(&accum2, &accum[acc_index]); |
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973 } else { |
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974 int half_power_index = (i/2) & (WEAVE_WORD_SIZE-1); |
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975 if (half_power_index == acc_index) { |
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976 /* copy is cheaper than weave_to_mpi */ |
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977 MP_CHECKOK(mp_copy(&accum[half_power_index], &accum2)); |
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978 SQR(&accum2,&accum[acc_index]); |
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979 } else { |
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980 SQR(&accum[half_power_index],&accum[acc_index]); |
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981 } |
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982 } |
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983 } |
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984 } |
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|
985 /* if the accum1 isn't set, Then there is something wrong with our logic |
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|
986 * above and is an internal programming error. |
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987 */ |
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988 #if MP_ARGCHK == 2 |
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989 assert(MP_USED(&accum1) != 0); |
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990 #endif |
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991 |
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992 /* set accumulator to montgomery residue of 1 */ |
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993 pa1 = &accum1; |
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994 pa2 = &accum2; |
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995 |
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996 for (expOff = bits_in_exponent - window_bits*2; expOff >= 0; expOff -= window_bits) { |
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997 mp_size smallExp; |
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998 MP_CHECKOK( mpl_get_bits(exponent, expOff, window_bits) ); |
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999 smallExp = (mp_size)res; |
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1000 |
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1001 /* handle unroll the loops */ |
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1002 switch (window_bits) { |
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1003 case 1: |
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1004 if (!smallExp) { |
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1005 SQR(pa1,pa2); SWAPPA; |
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1006 } else if (smallExp & 1) { |
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1007 SQR(pa1,pa2); MUL_NOWEAVE(montBase,pa2,pa1); |
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1008 } else { |
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|
1009 abort(); |
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1010 } |
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1011 break; |
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1012 case 6: |
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1013 SQR(pa1,pa2); SQR(pa2,pa1); |
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1014 /* fall through */ |
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|
1015 case 4: |
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|
1016 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
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|
1017 MUL(smallExp, pa1,pa2); SWAPPA; |
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1018 break; |
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|
1019 case 5: |
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|
1020 SQR(pa1,pa2); SQR(pa2,pa1); SQR(pa1,pa2); SQR(pa2,pa1); |
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1021 SQR(pa1,pa2); MUL(smallExp,pa2,pa1); |
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|
1022 break; |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
1023 default: |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
1024 abort(); /* could do a loop? */ |
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1025 } |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
1026 } |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
1027 |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
1028 res = s_mp_redc(pa1, mmm); |
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|
1029 mp_exch(pa1, result); |
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|
1030 |
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|
1031 CLEANUP: |
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|
1032 mp_clear(&accum1); |
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|
1033 mp_clear(&accum2); |
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|
1034 mp_clear(&accum[0]); |
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|
1035 mp_clear(&accum[1]); |
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|
1036 mp_clear(&accum[2]); |
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|
1037 mp_clear(&accum[3]); |
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|
1038 mp_clear(&tmp); |
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|
1039 /* PORT_Memset(powers,0,num_powers*nLen*sizeof(mp_digit)); */ |
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|
1040 free(powersArray); |
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|
1041 return res; |
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|
1042 } |
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|
1043 #undef SQR |
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|
1044 #undef MUL |
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1045 #endif |
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|
1046 |
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Andre Heinecke <andre.heinecke@intevation.de>
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|
1047 mp_err mp_exptmod(const mp_int *inBase, const mp_int *exponent, |
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|
1048 const mp_int *modulus, mp_int *result) |
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|
1049 { |
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|
1050 const mp_int *base; |
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|
1051 mp_size bits_in_exponent, i, window_bits, odd_ints; |
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|
1052 mp_err res; |
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|
1053 int nLen; |
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|
1054 mp_int montBase, goodBase; |
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|
1055 mp_mont_modulus mmm; |
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|
1056 #ifdef MP_USING_CACHE_SAFE_MOD_EXP |
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|
1057 static unsigned int max_window_bits; |
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|
1058 #endif |
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|
1059 |
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|
1060 /* function for computing n0prime only works if n0 is odd */ |
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|
1061 if (!mp_isodd(modulus)) |
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|
1062 return s_mp_exptmod(inBase, exponent, modulus, result); |
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|
1063 |
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|
1064 MP_DIGITS(&montBase) = 0; |
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|
1065 MP_DIGITS(&goodBase) = 0; |
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|
1066 |
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|
1067 if (mp_cmp(inBase, modulus) < 0) { |
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|
1068 base = inBase; |
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|
1069 } else { |
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|
1070 MP_CHECKOK( mp_init(&goodBase) ); |
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1071 base = &goodBase; |
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1072 MP_CHECKOK( mp_mod(inBase, modulus, &goodBase) ); |
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|
1073 } |
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|
1074 |
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1075 nLen = MP_USED(modulus); |
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1076 MP_CHECKOK( mp_init_size(&montBase, 2 * nLen + 2) ); |
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|
1077 |
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|
1078 mmm.N = *modulus; /* a copy of the mp_int struct */ |
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|
1079 |
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|
1080 /* compute n0', given n0, n0' = -(n0 ** -1) mod MP_RADIX |
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1081 ** where n0 = least significant mp_digit of N, the modulus. |
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|
1082 */ |
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|
1083 mmm.n0prime = 0 - s_mp_invmod_radix( MP_DIGIT(modulus, 0) ); |
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|
1084 |
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|
1085 MP_CHECKOK( s_mp_to_mont(base, &mmm, &montBase) ); |
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|
1086 |
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|
1087 bits_in_exponent = mpl_significant_bits(exponent); |
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1088 #ifdef MP_USING_CACHE_SAFE_MOD_EXP |
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1089 if (mp_using_cache_safe_exp) { |
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1090 if (bits_in_exponent > 780) |
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1091 window_bits = 6; |
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1092 else if (bits_in_exponent > 256) |
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|
1093 window_bits = 5; |
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|
1094 else if (bits_in_exponent > 20) |
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|
1095 window_bits = 4; |
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1096 /* RSA public key exponents are typically under 20 bits (common values |
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1097 * are: 3, 17, 65537) and a 4-bit window is inefficient |
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|
1098 */ |
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|
1099 else |
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|
1100 window_bits = 1; |
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1101 } else |
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|
1102 #endif |
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1103 if (bits_in_exponent > 480) |
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1104 window_bits = 6; |
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1105 else if (bits_in_exponent > 160) |
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|
1106 window_bits = 5; |
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1107 else if (bits_in_exponent > 20) |
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1108 window_bits = 4; |
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1109 /* RSA public key exponents are typically under 20 bits (common values |
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1110 * are: 3, 17, 65537) and a 4-bit window is inefficient |
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|
1111 */ |
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1112 else |
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1113 window_bits = 1; |
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1114 |
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1115 #ifdef MP_USING_CACHE_SAFE_MOD_EXP |
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1116 /* |
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1117 * clamp the window size based on |
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1118 * the cache line size. |
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1119 */ |
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1120 if (!max_window_bits) { |
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1121 unsigned long cache_size = s_mpi_getProcessorLineSize(); |
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1122 /* processor has no cache, use 'fast' code always */ |
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1123 if (cache_size == 0) { |
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1124 mp_using_cache_safe_exp = 0; |
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1125 } |
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1126 if ((cache_size == 0) || (cache_size >= 64)) { |
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1127 max_window_bits = 6; |
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1128 } else if (cache_size >= 32) { |
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1129 max_window_bits = 5; |
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1130 } else if (cache_size >= 16) { |
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1131 max_window_bits = 4; |
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1132 } else max_window_bits = 1; /* should this be an assert? */ |
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1133 } |
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1134 |
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1135 /* clamp the window size down before we caclulate bits_in_exponent */ |
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1136 if (mp_using_cache_safe_exp) { |
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1137 if (window_bits > max_window_bits) { |
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1138 window_bits = max_window_bits; |
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1139 } |
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1140 } |
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1141 #endif |
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1142 |
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1143 odd_ints = 1 << (window_bits - 1); |
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1144 i = bits_in_exponent % window_bits; |
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1145 if (i != 0) { |
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1146 bits_in_exponent += window_bits - i; |
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1147 } |
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1148 |
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1149 #ifdef MP_USING_MONT_MULF |
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1150 if (mp_using_mont_mulf) { |
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1151 MP_CHECKOK( s_mp_pad(&montBase, nLen) ); |
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1152 res = mp_exptmod_f(&montBase, exponent, modulus, result, &mmm, nLen, |
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1153 bits_in_exponent, window_bits, odd_ints); |
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1154 } else |
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1155 #endif |
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1156 #ifdef MP_USING_CACHE_SAFE_MOD_EXP |
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1157 if (mp_using_cache_safe_exp) { |
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1158 res = mp_exptmod_safe_i(&montBase, exponent, modulus, result, &mmm, nLen, |
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1159 bits_in_exponent, window_bits, 1 << window_bits); |
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1160 } else |
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1161 #endif |
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1162 res = mp_exptmod_i(&montBase, exponent, modulus, result, &mmm, nLen, |
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1163 bits_in_exponent, window_bits, odd_ints); |
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1164 |
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1165 CLEANUP: |
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1166 mp_clear(&montBase); |
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1167 mp_clear(&goodBase); |
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1168 /* Don't mp_clear mmm.N because it is merely a copy of modulus. |
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1169 ** Just zap it. |
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1170 */ |
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1171 memset(&mmm, 0, sizeof mmm); |
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1172 return res; |
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1173 } |