1 | /*
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2 | * Copyright 2013-2016 The OpenSSL Project Authors. All Rights Reserved.
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3 | * Copyright (c) 2012, Intel Corporation. All Rights Reserved.
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4 | *
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5 | * Licensed under the OpenSSL license (the "License"). You may not use
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6 | * this file except in compliance with the License. You can obtain a copy
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7 | * in the file LICENSE in the source distribution or at
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8 | * https://www.openssl.org/source/license.html
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9 | *
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10 | * Originally written by Shay Gueron (1, 2), and Vlad Krasnov (1)
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11 | * (1) Intel Corporation, Israel Development Center, Haifa, Israel
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12 | * (2) University of Haifa, Israel
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13 | */
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14 |
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15 | #include <openssl/opensslconf.h>
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16 | #include "rsaz_exp.h"
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17 |
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18 | #ifndef RSAZ_ENABLED
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19 | NON_EMPTY_TRANSLATION_UNIT
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20 | #else
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21 |
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22 | /*
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23 | * See crypto/bn/asm/rsaz-avx2.pl for further details.
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24 | */
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25 | void rsaz_1024_norm2red_avx2(void *red, const void *norm);
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26 | void rsaz_1024_mul_avx2(void *ret, const void *a, const void *b,
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27 | const void *n, BN_ULONG k);
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28 | void rsaz_1024_sqr_avx2(void *ret, const void *a, const void *n, BN_ULONG k,
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29 | int cnt);
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30 | void rsaz_1024_scatter5_avx2(void *tbl, const void *val, int i);
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31 | void rsaz_1024_gather5_avx2(void *val, const void *tbl, int i);
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32 | void rsaz_1024_red2norm_avx2(void *norm, const void *red);
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33 |
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34 | #if defined(__GNUC__)
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35 | # define ALIGN64 __attribute__((aligned(64)))
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36 | #elif defined(_MSC_VER)
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37 | # define ALIGN64 __declspec(align(64))
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38 | #elif defined(__SUNPRO_C)
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39 | # define ALIGN64
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40 | # pragma align 64(one,two80)
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41 | #else
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42 | /* not fatal, might hurt performance a little */
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43 | # define ALIGN64
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44 | #endif
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45 |
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46 | ALIGN64 static const BN_ULONG one[40] = {
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47 | 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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48 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
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49 | };
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50 |
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51 | ALIGN64 static const BN_ULONG two80[40] = {
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52 | 0, 0, 1 << 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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53 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
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54 | };
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55 |
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56 | void RSAZ_1024_mod_exp_avx2(BN_ULONG result_norm[16],
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57 | const BN_ULONG base_norm[16],
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58 | const BN_ULONG exponent[16],
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59 | const BN_ULONG m_norm[16], const BN_ULONG RR[16],
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60 | BN_ULONG k0)
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61 | {
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62 | unsigned char storage[320 * 3 + 32 * 9 * 16 + 64]; /* 5.5KB */
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63 | unsigned char *p_str = storage + (64 - ((size_t)storage % 64));
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64 | unsigned char *a_inv, *m, *result;
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65 | unsigned char *table_s = p_str + 320 * 3;
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66 | unsigned char *R2 = table_s; /* borrow */
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67 | int index;
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68 | int wvalue;
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69 |
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70 | if ((((size_t)p_str & 4095) + 320) >> 12) {
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71 | result = p_str;
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72 | a_inv = p_str + 320;
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73 | m = p_str + 320 * 2; /* should not cross page */
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74 | } else {
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75 | m = p_str; /* should not cross page */
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76 | result = p_str + 320;
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77 | a_inv = p_str + 320 * 2;
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78 | }
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79 |
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80 | rsaz_1024_norm2red_avx2(m, m_norm);
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81 | rsaz_1024_norm2red_avx2(a_inv, base_norm);
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82 | rsaz_1024_norm2red_avx2(R2, RR);
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83 |
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84 | rsaz_1024_mul_avx2(R2, R2, R2, m, k0);
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85 | rsaz_1024_mul_avx2(R2, R2, two80, m, k0);
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86 |
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87 | /* table[0] = 1 */
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88 | rsaz_1024_mul_avx2(result, R2, one, m, k0);
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89 | /* table[1] = a_inv^1 */
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90 | rsaz_1024_mul_avx2(a_inv, a_inv, R2, m, k0);
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91 |
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92 | rsaz_1024_scatter5_avx2(table_s, result, 0);
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93 | rsaz_1024_scatter5_avx2(table_s, a_inv, 1);
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94 |
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95 | /* table[2] = a_inv^2 */
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96 | rsaz_1024_sqr_avx2(result, a_inv, m, k0, 1);
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97 | rsaz_1024_scatter5_avx2(table_s, result, 2);
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98 | #if 0
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99 | /* this is almost 2x smaller and less than 1% slower */
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100 | for (index = 3; index < 32; index++) {
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101 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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102 | rsaz_1024_scatter5_avx2(table_s, result, index);
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103 | }
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104 | #else
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105 | /* table[4] = a_inv^4 */
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106 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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107 | rsaz_1024_scatter5_avx2(table_s, result, 4);
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108 | /* table[8] = a_inv^8 */
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109 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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110 | rsaz_1024_scatter5_avx2(table_s, result, 8);
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111 | /* table[16] = a_inv^16 */
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112 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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113 | rsaz_1024_scatter5_avx2(table_s, result, 16);
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114 | /* table[17] = a_inv^17 */
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115 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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116 | rsaz_1024_scatter5_avx2(table_s, result, 17);
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117 |
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118 | /* table[3] */
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119 | rsaz_1024_gather5_avx2(result, table_s, 2);
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120 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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121 | rsaz_1024_scatter5_avx2(table_s, result, 3);
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122 | /* table[6] */
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123 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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124 | rsaz_1024_scatter5_avx2(table_s, result, 6);
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125 | /* table[12] */
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126 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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127 | rsaz_1024_scatter5_avx2(table_s, result, 12);
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128 | /* table[24] */
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129 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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130 | rsaz_1024_scatter5_avx2(table_s, result, 24);
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131 | /* table[25] */
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132 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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133 | rsaz_1024_scatter5_avx2(table_s, result, 25);
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134 |
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135 | /* table[5] */
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136 | rsaz_1024_gather5_avx2(result, table_s, 4);
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137 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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138 | rsaz_1024_scatter5_avx2(table_s, result, 5);
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139 | /* table[10] */
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140 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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141 | rsaz_1024_scatter5_avx2(table_s, result, 10);
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142 | /* table[20] */
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143 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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144 | rsaz_1024_scatter5_avx2(table_s, result, 20);
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145 | /* table[21] */
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146 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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147 | rsaz_1024_scatter5_avx2(table_s, result, 21);
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148 |
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149 | /* table[7] */
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150 | rsaz_1024_gather5_avx2(result, table_s, 6);
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151 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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152 | rsaz_1024_scatter5_avx2(table_s, result, 7);
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153 | /* table[14] */
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154 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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155 | rsaz_1024_scatter5_avx2(table_s, result, 14);
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156 | /* table[28] */
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157 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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158 | rsaz_1024_scatter5_avx2(table_s, result, 28);
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159 | /* table[29] */
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160 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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161 | rsaz_1024_scatter5_avx2(table_s, result, 29);
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162 |
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163 | /* table[9] */
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164 | rsaz_1024_gather5_avx2(result, table_s, 8);
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165 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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166 | rsaz_1024_scatter5_avx2(table_s, result, 9);
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167 | /* table[18] */
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168 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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169 | rsaz_1024_scatter5_avx2(table_s, result, 18);
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170 | /* table[19] */
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171 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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172 | rsaz_1024_scatter5_avx2(table_s, result, 19);
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173 |
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174 | /* table[11] */
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175 | rsaz_1024_gather5_avx2(result, table_s, 10);
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176 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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177 | rsaz_1024_scatter5_avx2(table_s, result, 11);
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178 | /* table[22] */
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179 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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180 | rsaz_1024_scatter5_avx2(table_s, result, 22);
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181 | /* table[23] */
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182 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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183 | rsaz_1024_scatter5_avx2(table_s, result, 23);
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184 |
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185 | /* table[13] */
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186 | rsaz_1024_gather5_avx2(result, table_s, 12);
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187 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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188 | rsaz_1024_scatter5_avx2(table_s, result, 13);
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189 | /* table[26] */
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190 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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191 | rsaz_1024_scatter5_avx2(table_s, result, 26);
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192 | /* table[27] */
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193 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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194 | rsaz_1024_scatter5_avx2(table_s, result, 27);
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195 |
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196 | /* table[15] */
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197 | rsaz_1024_gather5_avx2(result, table_s, 14);
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198 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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199 | rsaz_1024_scatter5_avx2(table_s, result, 15);
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200 | /* table[30] */
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201 | rsaz_1024_sqr_avx2(result, result, m, k0, 1);
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202 | rsaz_1024_scatter5_avx2(table_s, result, 30);
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203 | /* table[31] */
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204 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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205 | rsaz_1024_scatter5_avx2(table_s, result, 31);
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206 | #endif
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207 |
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208 | /* load first window */
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209 | p_str = (unsigned char *)exponent;
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210 | wvalue = p_str[127] >> 3;
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211 | rsaz_1024_gather5_avx2(result, table_s, wvalue);
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212 |
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213 | index = 1014;
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214 |
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215 | while (index > -1) { /* loop for the remaining 127 windows */
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216 |
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217 | rsaz_1024_sqr_avx2(result, result, m, k0, 5);
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218 |
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219 | wvalue = (p_str[(index / 8) + 1] << 8) | p_str[index / 8];
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220 | wvalue = (wvalue >> (index % 8)) & 31;
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221 | index -= 5;
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222 |
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223 | rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
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224 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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225 | }
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226 |
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227 | /* square four times */
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228 | rsaz_1024_sqr_avx2(result, result, m, k0, 4);
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229 |
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230 | wvalue = p_str[0] & 15;
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231 |
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232 | rsaz_1024_gather5_avx2(a_inv, table_s, wvalue); /* borrow a_inv */
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233 | rsaz_1024_mul_avx2(result, result, a_inv, m, k0);
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234 |
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235 | /* from Montgomery */
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236 | rsaz_1024_mul_avx2(result, result, one, m, k0);
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237 |
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238 | rsaz_1024_red2norm_avx2(result_norm, result);
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239 |
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240 | OPENSSL_cleanse(storage, sizeof(storage));
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241 | }
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242 |
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243 | /*
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244 | * See crypto/bn/rsaz-x86_64.pl for further details.
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245 | */
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246 | void rsaz_512_mul(void *ret, const void *a, const void *b, const void *n,
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247 | BN_ULONG k);
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248 | void rsaz_512_mul_scatter4(void *ret, const void *a, const void *n,
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249 | BN_ULONG k, const void *tbl, unsigned int power);
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250 | void rsaz_512_mul_gather4(void *ret, const void *a, const void *tbl,
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251 | const void *n, BN_ULONG k, unsigned int power);
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252 | void rsaz_512_mul_by_one(void *ret, const void *a, const void *n, BN_ULONG k);
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253 | void rsaz_512_sqr(void *ret, const void *a, const void *n, BN_ULONG k,
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254 | int cnt);
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255 | void rsaz_512_scatter4(void *tbl, const BN_ULONG *val, int power);
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256 | void rsaz_512_gather4(BN_ULONG *val, const void *tbl, int power);
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257 |
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258 | void RSAZ_512_mod_exp(BN_ULONG result[8],
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259 | const BN_ULONG base[8], const BN_ULONG exponent[8],
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260 | const BN_ULONG m[8], BN_ULONG k0, const BN_ULONG RR[8])
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261 | {
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262 | unsigned char storage[16 * 8 * 8 + 64 * 2 + 64]; /* 1.2KB */
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263 | unsigned char *table = storage + (64 - ((size_t)storage % 64));
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264 | BN_ULONG *a_inv = (BN_ULONG *)(table + 16 * 8 * 8);
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265 | BN_ULONG *temp = (BN_ULONG *)(table + 16 * 8 * 8 + 8 * 8);
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266 | unsigned char *p_str = (unsigned char *)exponent;
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267 | int index;
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268 | unsigned int wvalue;
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269 |
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270 | /* table[0] = 1_inv */
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271 | temp[0] = 0 - m[0];
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272 | temp[1] = ~m[1];
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273 | temp[2] = ~m[2];
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274 | temp[3] = ~m[3];
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275 | temp[4] = ~m[4];
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276 | temp[5] = ~m[5];
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277 | temp[6] = ~m[6];
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278 | temp[7] = ~m[7];
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279 | rsaz_512_scatter4(table, temp, 0);
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280 |
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281 | /* table [1] = a_inv^1 */
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282 | rsaz_512_mul(a_inv, base, RR, m, k0);
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283 | rsaz_512_scatter4(table, a_inv, 1);
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284 |
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285 | /* table [2] = a_inv^2 */
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286 | rsaz_512_sqr(temp, a_inv, m, k0, 1);
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287 | rsaz_512_scatter4(table, temp, 2);
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288 |
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289 | for (index = 3; index < 16; index++)
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290 | rsaz_512_mul_scatter4(temp, a_inv, m, k0, table, index);
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291 |
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292 | /* load first window */
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293 | wvalue = p_str[63];
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294 |
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295 | rsaz_512_gather4(temp, table, wvalue >> 4);
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296 | rsaz_512_sqr(temp, temp, m, k0, 4);
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297 | rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0xf);
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298 |
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299 | for (index = 62; index >= 0; index--) {
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300 | wvalue = p_str[index];
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301 |
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302 | rsaz_512_sqr(temp, temp, m, k0, 4);
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303 | rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue >> 4);
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304 |
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305 | rsaz_512_sqr(temp, temp, m, k0, 4);
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306 | rsaz_512_mul_gather4(temp, temp, table, m, k0, wvalue & 0x0f);
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307 | }
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308 |
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309 | /* from Montgomery */
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310 | rsaz_512_mul_by_one(result, temp, m, k0);
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311 |
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312 | OPENSSL_cleanse(storage, sizeof(storage));
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313 | }
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314 |
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315 | #endif
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