1 | /*
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2 | * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved.
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3 | *
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4 | * Licensed under the Apache License 2.0 (the "License"). You may not use
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5 | * this file except in compliance with the License. You can obtain a copy
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6 | * in the file LICENSE in the source distribution or at
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7 | * https://www.openssl.org/source/license.html
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8 | */
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9 |
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10 | #include <stdio.h>
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11 | #include <time.h>
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12 | #include "internal/cryptlib.h"
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13 | #include "crypto/rand.h"
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14 | #include "bn_local.h"
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15 | #include <openssl/rand.h>
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16 | #include <openssl/sha.h>
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17 | #include <openssl/evp.h>
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18 |
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19 | typedef enum bnrand_flag_e {
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20 | NORMAL, TESTING, PRIVATE
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21 | } BNRAND_FLAG;
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22 |
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23 | static int bnrand(BNRAND_FLAG flag, BIGNUM *rnd, int bits, int top, int bottom,
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24 | unsigned int strength, BN_CTX *ctx)
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25 | {
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26 | unsigned char *buf = NULL;
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27 | int b, ret = 0, bit, bytes, mask;
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28 | OSSL_LIB_CTX *libctx = ossl_bn_get_libctx(ctx);
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29 |
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30 | if (bits == 0) {
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31 | if (top != BN_RAND_TOP_ANY || bottom != BN_RAND_BOTTOM_ANY)
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32 | goto toosmall;
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33 | BN_zero(rnd);
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34 | return 1;
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35 | }
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36 | if (bits < 0 || (bits == 1 && top > 0))
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37 | goto toosmall;
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38 |
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39 | bytes = (bits + 7) / 8;
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40 | bit = (bits - 1) % 8;
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41 | mask = 0xff << (bit + 1);
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42 |
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43 | buf = OPENSSL_malloc(bytes);
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44 | if (buf == NULL) {
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45 | ERR_raise(ERR_LIB_BN, ERR_R_MALLOC_FAILURE);
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46 | goto err;
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47 | }
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48 |
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49 | /* make a random number and set the top and bottom bits */
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50 | b = flag == NORMAL ? RAND_bytes_ex(libctx, buf, bytes, strength)
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51 | : RAND_priv_bytes_ex(libctx, buf, bytes, strength);
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52 | if (b <= 0)
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53 | goto err;
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54 |
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55 | if (flag == TESTING) {
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56 | /*
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57 | * generate patterns that are more likely to trigger BN library bugs
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58 | */
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59 | int i;
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60 | unsigned char c;
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61 |
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62 | for (i = 0; i < bytes; i++) {
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63 | if (RAND_bytes_ex(libctx, &c, 1, strength) <= 0)
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64 | goto err;
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65 | if (c >= 128 && i > 0)
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66 | buf[i] = buf[i - 1];
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67 | else if (c < 42)
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68 | buf[i] = 0;
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69 | else if (c < 84)
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70 | buf[i] = 255;
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71 | }
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72 | }
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73 |
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74 | if (top >= 0) {
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75 | if (top) {
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76 | if (bit == 0) {
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77 | buf[0] = 1;
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78 | buf[1] |= 0x80;
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79 | } else {
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80 | buf[0] |= (3 << (bit - 1));
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81 | }
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82 | } else {
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83 | buf[0] |= (1 << bit);
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84 | }
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85 | }
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86 | buf[0] &= ~mask;
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87 | if (bottom) /* set bottom bit if requested */
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88 | buf[bytes - 1] |= 1;
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89 | if (!BN_bin2bn(buf, bytes, rnd))
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90 | goto err;
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91 | ret = 1;
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92 | err:
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93 | OPENSSL_clear_free(buf, bytes);
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94 | bn_check_top(rnd);
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95 | return ret;
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96 |
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97 | toosmall:
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98 | ERR_raise(ERR_LIB_BN, BN_R_BITS_TOO_SMALL);
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99 | return 0;
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100 | }
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101 |
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102 | int BN_rand_ex(BIGNUM *rnd, int bits, int top, int bottom,
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103 | unsigned int strength, BN_CTX *ctx)
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104 | {
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105 | return bnrand(NORMAL, rnd, bits, top, bottom, strength, ctx);
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106 | }
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107 | #ifndef FIPS_MODULE
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108 | int BN_rand(BIGNUM *rnd, int bits, int top, int bottom)
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109 | {
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110 | return bnrand(NORMAL, rnd, bits, top, bottom, 0, NULL);
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111 | }
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112 |
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113 | int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom)
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114 | {
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115 | return bnrand(TESTING, rnd, bits, top, bottom, 0, NULL);
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116 | }
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117 | #endif
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118 |
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119 | int BN_priv_rand_ex(BIGNUM *rnd, int bits, int top, int bottom,
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120 | unsigned int strength, BN_CTX *ctx)
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121 | {
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122 | return bnrand(PRIVATE, rnd, bits, top, bottom, strength, ctx);
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123 | }
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124 |
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125 | #ifndef FIPS_MODULE
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126 | int BN_priv_rand(BIGNUM *rnd, int bits, int top, int bottom)
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127 | {
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128 | return bnrand(PRIVATE, rnd, bits, top, bottom, 0, NULL);
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129 | }
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130 | #endif
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131 |
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132 | /* random number r: 0 <= r < range */
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133 | static int bnrand_range(BNRAND_FLAG flag, BIGNUM *r, const BIGNUM *range,
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134 | unsigned int strength, BN_CTX *ctx)
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135 | {
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136 | int n;
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137 | int count = 100;
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138 |
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139 | if (range->neg || BN_is_zero(range)) {
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140 | ERR_raise(ERR_LIB_BN, BN_R_INVALID_RANGE);
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141 | return 0;
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142 | }
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143 |
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144 | n = BN_num_bits(range); /* n > 0 */
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145 |
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146 | /* BN_is_bit_set(range, n - 1) always holds */
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147 |
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148 | if (n == 1)
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149 | BN_zero(r);
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150 | else if (!BN_is_bit_set(range, n - 2) && !BN_is_bit_set(range, n - 3)) {
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151 | /*
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152 | * range = 100..._2, so 3*range (= 11..._2) is exactly one bit longer
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153 | * than range
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154 | */
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155 | do {
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156 | if (!bnrand(flag, r, n + 1, BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY,
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157 | strength, ctx))
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158 | return 0;
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159 |
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160 | /*
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161 | * If r < 3*range, use r := r MOD range (which is either r, r -
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162 | * range, or r - 2*range). Otherwise, iterate once more. Since
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163 | * 3*range = 11..._2, each iteration succeeds with probability >=
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164 | * .75.
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165 | */
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166 | if (BN_cmp(r, range) >= 0) {
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167 | if (!BN_sub(r, r, range))
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168 | return 0;
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169 | if (BN_cmp(r, range) >= 0)
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170 | if (!BN_sub(r, r, range))
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171 | return 0;
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172 | }
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173 |
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174 | if (!--count) {
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175 | ERR_raise(ERR_LIB_BN, BN_R_TOO_MANY_ITERATIONS);
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176 | return 0;
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177 | }
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178 |
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179 | }
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180 | while (BN_cmp(r, range) >= 0);
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181 | } else {
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182 | do {
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183 | /* range = 11..._2 or range = 101..._2 */
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184 | if (!bnrand(flag, r, n, BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY, 0,
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185 | ctx))
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186 | return 0;
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187 |
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188 | if (!--count) {
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189 | ERR_raise(ERR_LIB_BN, BN_R_TOO_MANY_ITERATIONS);
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190 | return 0;
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191 | }
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192 | }
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193 | while (BN_cmp(r, range) >= 0);
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194 | }
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195 |
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196 | bn_check_top(r);
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197 | return 1;
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198 | }
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199 |
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200 | int BN_rand_range_ex(BIGNUM *r, const BIGNUM *range, unsigned int strength,
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201 | BN_CTX *ctx)
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202 | {
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203 | return bnrand_range(NORMAL, r, range, strength, ctx);
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204 | }
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205 |
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206 | #ifndef FIPS_MODULE
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207 | int BN_rand_range(BIGNUM *r, const BIGNUM *range)
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208 | {
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209 | return bnrand_range(NORMAL, r, range, 0, NULL);
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210 | }
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211 | #endif
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212 |
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213 | int BN_priv_rand_range_ex(BIGNUM *r, const BIGNUM *range, unsigned int strength,
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214 | BN_CTX *ctx)
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215 | {
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216 | return bnrand_range(PRIVATE, r, range, strength, ctx);
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217 | }
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218 |
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219 | #ifndef FIPS_MODULE
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220 | int BN_priv_rand_range(BIGNUM *r, const BIGNUM *range)
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221 | {
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222 | return bnrand_range(PRIVATE, r, range, 0, NULL);
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223 | }
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224 |
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225 | # ifndef OPENSSL_NO_DEPRECATED_3_0
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226 | int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom)
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227 | {
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228 | return BN_rand(rnd, bits, top, bottom);
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229 | }
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230 |
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231 | int BN_pseudo_rand_range(BIGNUM *r, const BIGNUM *range)
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232 | {
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233 | return BN_rand_range(r, range);
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234 | }
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235 | # endif
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236 | #endif
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237 |
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238 | /*
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239 | * BN_generate_dsa_nonce generates a random number 0 <= out < range. Unlike
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240 | * BN_rand_range, it also includes the contents of |priv| and |message| in
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241 | * the generation so that an RNG failure isn't fatal as long as |priv|
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242 | * remains secret. This is intended for use in DSA and ECDSA where an RNG
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243 | * weakness leads directly to private key exposure unless this function is
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244 | * used.
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245 | */
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246 | int BN_generate_dsa_nonce(BIGNUM *out, const BIGNUM *range,
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247 | const BIGNUM *priv, const unsigned char *message,
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248 | size_t message_len, BN_CTX *ctx)
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249 | {
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250 | EVP_MD_CTX *mdctx = EVP_MD_CTX_new();
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251 | /*
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252 | * We use 512 bits of random data per iteration to ensure that we have at
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253 | * least |range| bits of randomness.
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254 | */
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255 | unsigned char random_bytes[64];
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256 | unsigned char digest[SHA512_DIGEST_LENGTH];
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257 | unsigned done, todo;
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258 | /* We generate |range|+8 bytes of random output. */
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259 | const unsigned num_k_bytes = BN_num_bytes(range) + 8;
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260 | unsigned char private_bytes[96];
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261 | unsigned char *k_bytes = NULL;
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262 | int ret = 0;
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263 | EVP_MD *md = NULL;
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264 | OSSL_LIB_CTX *libctx = ossl_bn_get_libctx(ctx);
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265 |
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266 | if (mdctx == NULL)
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267 | goto err;
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268 |
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269 | k_bytes = OPENSSL_malloc(num_k_bytes);
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270 | if (k_bytes == NULL)
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271 | goto err;
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272 |
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273 | /* We copy |priv| into a local buffer to avoid exposing its length. */
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274 | if (BN_bn2binpad(priv, private_bytes, sizeof(private_bytes)) < 0) {
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275 | /*
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276 | * No reasonable DSA or ECDSA key should have a private key this
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277 | * large and we don't handle this case in order to avoid leaking the
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278 | * length of the private key.
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279 | */
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280 | ERR_raise(ERR_LIB_BN, BN_R_PRIVATE_KEY_TOO_LARGE);
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281 | goto err;
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282 | }
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283 |
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284 | md = EVP_MD_fetch(libctx, "SHA512", NULL);
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285 | if (md == NULL) {
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286 | ERR_raise(ERR_LIB_BN, BN_R_NO_SUITABLE_DIGEST);
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287 | goto err;
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288 | }
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289 | for (done = 0; done < num_k_bytes;) {
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290 | if (RAND_priv_bytes_ex(libctx, random_bytes, sizeof(random_bytes), 0) <= 0)
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291 | goto err;
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292 |
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293 | if (!EVP_DigestInit_ex(mdctx, md, NULL)
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294 | || !EVP_DigestUpdate(mdctx, &done, sizeof(done))
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295 | || !EVP_DigestUpdate(mdctx, private_bytes,
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296 | sizeof(private_bytes))
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297 | || !EVP_DigestUpdate(mdctx, message, message_len)
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298 | || !EVP_DigestUpdate(mdctx, random_bytes, sizeof(random_bytes))
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299 | || !EVP_DigestFinal_ex(mdctx, digest, NULL))
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300 | goto err;
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301 |
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302 | todo = num_k_bytes - done;
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303 | if (todo > SHA512_DIGEST_LENGTH)
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304 | todo = SHA512_DIGEST_LENGTH;
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305 | memcpy(k_bytes + done, digest, todo);
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306 | done += todo;
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307 | }
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308 |
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309 | if (!BN_bin2bn(k_bytes, num_k_bytes, out))
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310 | goto err;
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311 | if (BN_mod(out, out, range, ctx) != 1)
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312 | goto err;
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313 | ret = 1;
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314 |
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315 | err:
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316 | EVP_MD_CTX_free(mdctx);
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317 | EVP_MD_free(md);
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318 | OPENSSL_free(k_bytes);
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319 | OPENSSL_cleanse(private_bytes, sizeof(private_bytes));
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320 | return ret;
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321 | }
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