[b32552c] | 1 | /* crypto/bn/bn.h */ |
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| 2 | /* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com) |
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| 3 | * All rights reserved. |
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| 4 | * |
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| 5 | * This package is an SSL implementation written |
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| 6 | * by Eric Young (eay@cryptsoft.com). |
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| 7 | * The implementation was written so as to conform with Netscapes SSL. |
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| 8 | * |
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| 9 | * This library is free for commercial and non-commercial use as long as |
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| 10 | * the following conditions are aheared to. The following conditions |
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| 11 | * apply to all code found in this distribution, be it the RC4, RSA, |
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| 12 | * lhash, DES, etc., code; not just the SSL code. The SSL documentation |
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| 13 | * included with this distribution is covered by the same copyright terms |
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| 14 | * except that the holder is Tim Hudson (tjh@cryptsoft.com). |
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| 15 | * |
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| 16 | * Copyright remains Eric Young's, and as such any Copyright notices in |
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| 17 | * the code are not to be removed. |
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| 18 | * If this package is used in a product, Eric Young should be given attribution |
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| 19 | * as the author of the parts of the library used. |
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| 20 | * This can be in the form of a textual message at program startup or |
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| 21 | * in documentation (online or textual) provided with the package. |
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| 22 | * |
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| 23 | * Redistribution and use in source and binary forms, with or without |
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| 24 | * modification, are permitted provided that the following conditions |
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| 25 | * are met: |
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| 26 | * 1. Redistributions of source code must retain the copyright |
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| 27 | * notice, this list of conditions and the following disclaimer. |
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| 28 | * 2. Redistributions in binary form must reproduce the above copyright |
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| 29 | * notice, this list of conditions and the following disclaimer in the |
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| 30 | * documentation and/or other materials provided with the distribution. |
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| 31 | * 3. All advertising materials mentioning features or use of this software |
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| 32 | * must display the following acknowledgement: |
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| 33 | * "This product includes cryptographic software written by |
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| 34 | * Eric Young (eay@cryptsoft.com)" |
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| 35 | * The word 'cryptographic' can be left out if the rouines from the library |
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| 36 | * being used are not cryptographic related :-). |
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| 37 | * 4. If you include any Windows specific code (or a derivative thereof) from |
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| 38 | * the apps directory (application code) you must include an acknowledgement: |
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| 39 | * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" |
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| 40 | * |
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| 41 | * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND |
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| 42 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
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| 43 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE |
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| 44 | * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE |
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| 45 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL |
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| 46 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS |
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| 47 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) |
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| 48 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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| 49 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY |
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| 50 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF |
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| 51 | * SUCH DAMAGE. |
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| 52 | * |
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| 53 | * The licence and distribution terms for any publically available version or |
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| 54 | * derivative of this code cannot be changed. i.e. this code cannot simply be |
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| 55 | * copied and put under another distribution licence |
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| 56 | * [including the GNU Public Licence.] |
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| 57 | */ |
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| 58 | /* ==================================================================== |
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| 59 | * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. |
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| 60 | * |
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| 61 | * Portions of the attached software ("Contribution") are developed by |
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| 62 | * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. |
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| 63 | * |
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| 64 | * The Contribution is licensed pursuant to the Eric Young open source |
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| 65 | * license provided above. |
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| 66 | * |
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| 67 | * The binary polynomial arithmetic software is originally written by |
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| 68 | * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. |
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| 69 | * |
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| 70 | */ |
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| 71 | |
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| 72 | #ifndef HEADER_BN_H |
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| 73 | #define HEADER_BN_H |
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| 74 | |
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| 75 | #include <openssl/e_os2.h> |
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| 76 | #ifndef OPENSSL_NO_FP_API |
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| 77 | #include <stdio.h> /* FILE */ |
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| 78 | #endif |
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| 79 | #include <openssl/ossl_typ.h> |
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| 80 | |
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| 81 | #ifdef __cplusplus |
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| 82 | extern "C" { |
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| 83 | #endif |
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| 84 | |
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| 85 | /* These preprocessor symbols control various aspects of the bignum headers and |
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| 86 | * library code. They're not defined by any "normal" configuration, as they are |
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| 87 | * intended for development and testing purposes. NB: defining all three can be |
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| 88 | * useful for debugging application code as well as openssl itself. |
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| 89 | * |
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| 90 | * BN_DEBUG - turn on various debugging alterations to the bignum code |
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| 91 | * BN_DEBUG_RAND - uses random poisoning of unused words to trip up |
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| 92 | * mismanagement of bignum internals. You must also define BN_DEBUG. |
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| 93 | */ |
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| 94 | /* #define BN_DEBUG */ |
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| 95 | /* #define BN_DEBUG_RAND */ |
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| 96 | |
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| 97 | #define BN_MUL_COMBA |
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| 98 | #define BN_SQR_COMBA |
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| 99 | #define BN_RECURSION |
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| 100 | |
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| 101 | /* This next option uses the C libraries (2 word)/(1 word) function. |
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| 102 | * If it is not defined, I use my C version (which is slower). |
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| 103 | * The reason for this flag is that when the particular C compiler |
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| 104 | * library routine is used, and the library is linked with a different |
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| 105 | * compiler, the library is missing. This mostly happens when the |
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| 106 | * library is built with gcc and then linked using normal cc. This would |
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| 107 | * be a common occurrence because gcc normally produces code that is |
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| 108 | * 2 times faster than system compilers for the big number stuff. |
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| 109 | * For machines with only one compiler (or shared libraries), this should |
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| 110 | * be on. Again this in only really a problem on machines |
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| 111 | * using "long long's", are 32bit, and are not using my assembler code. */ |
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| 112 | #if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \ |
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| 113 | defined(OPENSSL_SYS_WIN32) || defined(linux) |
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| 114 | # ifndef BN_DIV2W |
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| 115 | # define BN_DIV2W |
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| 116 | # endif |
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| 117 | #endif |
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| 118 | |
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| 119 | /* assuming long is 64bit - this is the DEC Alpha |
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| 120 | * unsigned long long is only 64 bits :-(, don't define |
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| 121 | * BN_LLONG for the DEC Alpha */ |
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| 122 | #ifdef SIXTY_FOUR_BIT_LONG |
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| 123 | #define BN_ULLONG unsigned long long |
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| 124 | #define BN_ULONG unsigned long |
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| 125 | #define BN_LONG long |
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| 126 | #define BN_BITS 128 |
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| 127 | #define BN_BYTES 8 |
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| 128 | #define BN_BITS2 64 |
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| 129 | #define BN_BITS4 32 |
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| 130 | #define BN_MASK (0xffffffffffffffffffffffffffffffffLL) |
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| 131 | #define BN_MASK2 (0xffffffffffffffffL) |
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| 132 | #define BN_MASK2l (0xffffffffL) |
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| 133 | #define BN_MASK2h (0xffffffff00000000L) |
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| 134 | #define BN_MASK2h1 (0xffffffff80000000L) |
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| 135 | #define BN_TBIT (0x8000000000000000L) |
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| 136 | #define BN_DEC_CONV (10000000000000000000UL) |
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| 137 | #define BN_DEC_FMT1 "%lu" |
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| 138 | #define BN_DEC_FMT2 "%019lu" |
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| 139 | #define BN_DEC_NUM 19 |
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| 140 | #endif |
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| 141 | |
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| 142 | /* This is where the long long data type is 64 bits, but long is 32. |
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| 143 | * For machines where there are 64bit registers, this is the mode to use. |
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| 144 | * IRIX, on R4000 and above should use this mode, along with the relevant |
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| 145 | * assembler code :-). Do NOT define BN_LLONG. |
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| 146 | */ |
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| 147 | #ifdef SIXTY_FOUR_BIT |
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| 148 | #undef BN_LLONG |
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| 149 | #undef BN_ULLONG |
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| 150 | #define BN_ULONG unsigned long long |
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| 151 | #define BN_LONG long long |
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| 152 | #define BN_BITS 128 |
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| 153 | #define BN_BYTES 8 |
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| 154 | #define BN_BITS2 64 |
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| 155 | #define BN_BITS4 32 |
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| 156 | #define BN_MASK2 (0xffffffffffffffffLL) |
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| 157 | #define BN_MASK2l (0xffffffffL) |
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| 158 | #define BN_MASK2h (0xffffffff00000000LL) |
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| 159 | #define BN_MASK2h1 (0xffffffff80000000LL) |
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| 160 | #define BN_TBIT (0x8000000000000000LL) |
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| 161 | #define BN_DEC_CONV (10000000000000000000ULL) |
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| 162 | #define BN_DEC_FMT1 "%llu" |
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| 163 | #define BN_DEC_FMT2 "%019llu" |
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| 164 | #define BN_DEC_NUM 19 |
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| 165 | #endif |
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| 166 | |
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| 167 | #ifdef THIRTY_TWO_BIT |
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| 168 | #ifdef BN_LLONG |
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| 169 | # if defined(OPENSSL_SYS_WIN32) && !defined(__GNUC__) |
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| 170 | # define BN_ULLONG unsigned __int64 |
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| 171 | # else |
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| 172 | # define BN_ULLONG unsigned long long |
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| 173 | # endif |
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| 174 | #endif |
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| 175 | #define BN_ULONG unsigned long |
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| 176 | #define BN_LONG long |
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| 177 | #define BN_BITS 64 |
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| 178 | #define BN_BYTES 4 |
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| 179 | #define BN_BITS2 32 |
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| 180 | #define BN_BITS4 16 |
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| 181 | #ifdef OPENSSL_SYS_WIN32 |
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| 182 | /* VC++ doesn't like the LL suffix */ |
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| 183 | #define BN_MASK (0xffffffffffffffffL) |
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| 184 | #else |
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| 185 | #define BN_MASK (0xffffffffffffffffLL) |
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| 186 | #endif |
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| 187 | #define BN_MASK2 (0xffffffffL) |
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| 188 | #define BN_MASK2l (0xffff) |
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| 189 | #define BN_MASK2h1 (0xffff8000L) |
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| 190 | #define BN_MASK2h (0xffff0000L) |
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| 191 | #define BN_TBIT (0x80000000L) |
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| 192 | #define BN_DEC_CONV (1000000000L) |
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| 193 | #define BN_DEC_FMT1 "%lu" |
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| 194 | #define BN_DEC_FMT2 "%09lu" |
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| 195 | #define BN_DEC_NUM 9 |
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| 196 | #endif |
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| 197 | |
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| 198 | #ifdef SIXTEEN_BIT |
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| 199 | #ifndef BN_DIV2W |
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| 200 | #define BN_DIV2W |
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| 201 | #endif |
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| 202 | #define BN_ULLONG unsigned long |
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| 203 | #define BN_ULONG unsigned short |
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| 204 | #define BN_LONG short |
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| 205 | #define BN_BITS 32 |
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| 206 | #define BN_BYTES 2 |
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| 207 | #define BN_BITS2 16 |
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| 208 | #define BN_BITS4 8 |
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| 209 | #define BN_MASK (0xffffffff) |
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| 210 | #define BN_MASK2 (0xffff) |
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| 211 | #define BN_MASK2l (0xff) |
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| 212 | #define BN_MASK2h1 (0xff80) |
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| 213 | #define BN_MASK2h (0xff00) |
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| 214 | #define BN_TBIT (0x8000) |
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| 215 | #define BN_DEC_CONV (100000) |
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| 216 | #define BN_DEC_FMT1 "%u" |
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| 217 | #define BN_DEC_FMT2 "%05u" |
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| 218 | #define BN_DEC_NUM 5 |
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| 219 | #endif |
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| 220 | |
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| 221 | #ifdef EIGHT_BIT |
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| 222 | #ifndef BN_DIV2W |
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| 223 | #define BN_DIV2W |
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| 224 | #endif |
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| 225 | #define BN_ULLONG unsigned short |
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| 226 | #define BN_ULONG unsigned char |
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| 227 | #define BN_LONG char |
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| 228 | #define BN_BITS 16 |
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| 229 | #define BN_BYTES 1 |
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| 230 | #define BN_BITS2 8 |
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| 231 | #define BN_BITS4 4 |
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| 232 | #define BN_MASK (0xffff) |
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| 233 | #define BN_MASK2 (0xff) |
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| 234 | #define BN_MASK2l (0xf) |
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| 235 | #define BN_MASK2h1 (0xf8) |
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| 236 | #define BN_MASK2h (0xf0) |
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| 237 | #define BN_TBIT (0x80) |
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| 238 | #define BN_DEC_CONV (100) |
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| 239 | #define BN_DEC_FMT1 "%u" |
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| 240 | #define BN_DEC_FMT2 "%02u" |
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| 241 | #define BN_DEC_NUM 2 |
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| 242 | #endif |
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| 243 | |
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| 244 | #define BN_DEFAULT_BITS 1280 |
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| 245 | |
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| 246 | #define BN_FLG_MALLOCED 0x01 |
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| 247 | #define BN_FLG_STATIC_DATA 0x02 |
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| 248 | #define BN_FLG_EXP_CONSTTIME 0x04 /* avoid leaking exponent information through timings |
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| 249 | * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) */ |
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| 250 | #ifndef OPENSSL_NO_DEPRECATED |
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| 251 | #define BN_FLG_FREE 0x8000 /* used for debuging */ |
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| 252 | #endif |
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| 253 | #define BN_set_flags(b,n) ((b)->flags|=(n)) |
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| 254 | #define BN_get_flags(b,n) ((b)->flags&(n)) |
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| 255 | |
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| 256 | /* get a clone of a BIGNUM with changed flags, for *temporary* use only |
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| 257 | * (the two BIGNUMs cannot not be used in parallel!) */ |
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| 258 | #define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \ |
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| 259 | (dest)->top=(b)->top, \ |
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| 260 | (dest)->dmax=(b)->dmax, \ |
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| 261 | (dest)->neg=(b)->neg, \ |
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| 262 | (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \ |
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| 263 | | ((b)->flags & ~BN_FLG_MALLOCED) \ |
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| 264 | | BN_FLG_STATIC_DATA \ |
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| 265 | | (n))) |
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| 266 | |
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| 267 | /* Already declared in ossl_typ.h */ |
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| 268 | #if 0 |
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| 269 | typedef struct bignum_st BIGNUM; |
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| 270 | /* Used for temp variables (declaration hidden in bn_lcl.h) */ |
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| 271 | typedef struct bignum_ctx BN_CTX; |
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| 272 | typedef struct bn_blinding_st BN_BLINDING; |
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| 273 | typedef struct bn_mont_ctx_st BN_MONT_CTX; |
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| 274 | typedef struct bn_recp_ctx_st BN_RECP_CTX; |
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| 275 | typedef struct bn_gencb_st BN_GENCB; |
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| 276 | #endif |
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| 277 | |
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| 278 | struct bignum_st |
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| 279 | { |
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| 280 | BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */ |
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| 281 | int top; /* Index of last used d +1. */ |
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| 282 | /* The next are internal book keeping for bn_expand. */ |
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| 283 | int dmax; /* Size of the d array. */ |
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| 284 | int neg; /* one if the number is negative */ |
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| 285 | int flags; |
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| 286 | }; |
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| 287 | |
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| 288 | /* Used for montgomery multiplication */ |
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| 289 | struct bn_mont_ctx_st |
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| 290 | { |
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| 291 | int ri; /* number of bits in R */ |
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| 292 | BIGNUM RR; /* used to convert to montgomery form */ |
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| 293 | BIGNUM N; /* The modulus */ |
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| 294 | BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 |
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| 295 | * (Ni is only stored for bignum algorithm) */ |
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| 296 | BN_ULONG n0; /* least significant word of Ni */ |
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| 297 | int flags; |
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| 298 | }; |
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| 299 | |
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| 300 | /* Used for reciprocal division/mod functions |
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| 301 | * It cannot be shared between threads |
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| 302 | */ |
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| 303 | struct bn_recp_ctx_st |
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| 304 | { |
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| 305 | BIGNUM N; /* the divisor */ |
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| 306 | BIGNUM Nr; /* the reciprocal */ |
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| 307 | int num_bits; |
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| 308 | int shift; |
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| 309 | int flags; |
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| 310 | }; |
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| 311 | |
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| 312 | /* Used for slow "generation" functions. */ |
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| 313 | struct bn_gencb_st |
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| 314 | { |
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| 315 | unsigned int ver; /* To handle binary (in)compatibility */ |
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| 316 | void *arg; /* callback-specific data */ |
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| 317 | union |
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| 318 | { |
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| 319 | /* if(ver==1) - handles old style callbacks */ |
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| 320 | void (*cb_1)(int, int, void *); |
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| 321 | /* if(ver==2) - new callback style */ |
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| 322 | int (*cb_2)(int, int, BN_GENCB *); |
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| 323 | } cb; |
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| 324 | }; |
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| 325 | /* Wrapper function to make using BN_GENCB easier, */ |
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| 326 | int BN_GENCB_call(BN_GENCB *cb, int a, int b); |
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| 327 | /* Macro to populate a BN_GENCB structure with an "old"-style callback */ |
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| 328 | #define BN_GENCB_set_old(gencb, callback, cb_arg) { \ |
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| 329 | BN_GENCB *tmp_gencb = (gencb); \ |
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| 330 | tmp_gencb->ver = 1; \ |
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| 331 | tmp_gencb->arg = (cb_arg); \ |
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| 332 | tmp_gencb->cb.cb_1 = (callback); } |
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| 333 | /* Macro to populate a BN_GENCB structure with a "new"-style callback */ |
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| 334 | #define BN_GENCB_set(gencb, callback, cb_arg) { \ |
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| 335 | BN_GENCB *tmp_gencb = (gencb); \ |
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| 336 | tmp_gencb->ver = 2; \ |
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| 337 | tmp_gencb->arg = (cb_arg); \ |
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| 338 | tmp_gencb->cb.cb_2 = (callback); } |
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| 339 | |
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| 340 | #define BN_prime_checks 0 /* default: select number of iterations |
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| 341 | based on the size of the number */ |
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| 342 | |
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| 343 | /* number of Miller-Rabin iterations for an error rate of less than 2^-80 |
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| 344 | * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook |
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| 345 | * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996]; |
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| 346 | * original paper: Damgaard, Landrock, Pomerance: Average case error estimates |
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| 347 | * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */ |
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| 348 | #define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \ |
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| 349 | (b) >= 850 ? 3 : \ |
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| 350 | (b) >= 650 ? 4 : \ |
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| 351 | (b) >= 550 ? 5 : \ |
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| 352 | (b) >= 450 ? 6 : \ |
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| 353 | (b) >= 400 ? 7 : \ |
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| 354 | (b) >= 350 ? 8 : \ |
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| 355 | (b) >= 300 ? 9 : \ |
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| 356 | (b) >= 250 ? 12 : \ |
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| 357 | (b) >= 200 ? 15 : \ |
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| 358 | (b) >= 150 ? 18 : \ |
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| 359 | /* b >= 100 */ 27) |
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| 360 | |
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| 361 | #define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) |
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| 362 | |
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| 363 | /* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */ |
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| 364 | #define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \ |
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| 365 | (((w) == 0) && ((a)->top == 0))) |
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| 366 | #define BN_is_zero(a) ((a)->top == 0) |
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| 367 | #define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg) |
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| 368 | #define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg)) |
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| 369 | #define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1)) |
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| 370 | |
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| 371 | #define BN_one(a) (BN_set_word((a),1)) |
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| 372 | #define BN_zero_ex(a) \ |
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| 373 | do { \ |
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| 374 | BIGNUM *_tmp_bn = (a); \ |
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| 375 | _tmp_bn->top = 0; \ |
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| 376 | _tmp_bn->neg = 0; \ |
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| 377 | } while(0) |
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| 378 | #ifdef OPENSSL_NO_DEPRECATED |
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| 379 | #define BN_zero(a) BN_zero_ex(a) |
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| 380 | #else |
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| 381 | #define BN_zero(a) (BN_set_word((a),0)) |
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| 382 | #endif |
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| 383 | |
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| 384 | const BIGNUM *BN_value_one(void); |
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| 385 | char * BN_options(void); |
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| 386 | BN_CTX *BN_CTX_new(void); |
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| 387 | #ifndef OPENSSL_NO_DEPRECATED |
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| 388 | void BN_CTX_init(BN_CTX *c); |
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| 389 | #endif |
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| 390 | void BN_CTX_free(BN_CTX *c); |
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| 391 | void BN_CTX_start(BN_CTX *ctx); |
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| 392 | BIGNUM *BN_CTX_get(BN_CTX *ctx); |
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| 393 | void BN_CTX_end(BN_CTX *ctx); |
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| 394 | int BN_rand(BIGNUM *rnd, int bits, int top,int bottom); |
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| 395 | int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom); |
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| 396 | int BN_rand_range(BIGNUM *rnd, BIGNUM *range); |
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| 397 | int BN_pseudo_rand_range(BIGNUM *rnd, BIGNUM *range); |
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| 398 | int BN_num_bits(const BIGNUM *a); |
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| 399 | int BN_num_bits_word(BN_ULONG); |
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| 400 | BIGNUM *BN_new(void); |
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| 401 | void BN_init(BIGNUM *); |
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| 402 | void BN_clear_free(BIGNUM *a); |
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| 403 | BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b); |
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| 404 | void BN_swap(BIGNUM *a, BIGNUM *b); |
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| 405 | BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret); |
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| 406 | int BN_bn2bin(const BIGNUM *a, unsigned char *to); |
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| 407 | BIGNUM *BN_mpi2bn(const unsigned char *s,int len,BIGNUM *ret); |
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| 408 | int BN_bn2mpi(const BIGNUM *a, unsigned char *to); |
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| 409 | int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); |
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| 410 | int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); |
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| 411 | int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); |
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| 412 | int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); |
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| 413 | int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); |
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| 414 | int BN_sqr(BIGNUM *r, const BIGNUM *a,BN_CTX *ctx); |
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| 415 | /* BN_set_negative(): sets sign of a bignum */ |
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| 416 | void BN_set_negative(BIGNUM *b, int n); |
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| 417 | /* BN_get_negative(): returns 1 if the bignum is < 0 and 0 otherwise */ |
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| 418 | #define BN_is_negative(a) ((a)->neg != 0) |
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| 419 | |
---|
| 420 | int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, |
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| 421 | BN_CTX *ctx); |
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| 422 | #define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx)) |
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| 423 | int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx); |
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| 424 | int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx); |
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| 425 | int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m); |
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| 426 | int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx); |
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| 427 | int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m); |
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| 428 | int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, |
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| 429 | const BIGNUM *m, BN_CTX *ctx); |
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| 430 | int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); |
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| 431 | int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); |
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| 432 | int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m); |
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| 433 | int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx); |
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| 434 | int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m); |
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| 435 | |
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| 436 | BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w); |
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| 437 | BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w); |
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| 438 | int BN_mul_word(BIGNUM *a, BN_ULONG w); |
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| 439 | int BN_add_word(BIGNUM *a, BN_ULONG w); |
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| 440 | int BN_sub_word(BIGNUM *a, BN_ULONG w); |
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| 441 | int BN_set_word(BIGNUM *a, BN_ULONG w); |
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| 442 | BN_ULONG BN_get_word(const BIGNUM *a); |
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| 443 | |
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| 444 | int BN_cmp(const BIGNUM *a, const BIGNUM *b); |
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| 445 | void BN_free(BIGNUM *a); |
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| 446 | int BN_is_bit_set(const BIGNUM *a, int n); |
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| 447 | int BN_lshift(BIGNUM *r, const BIGNUM *a, int n); |
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| 448 | int BN_lshift1(BIGNUM *r, const BIGNUM *a); |
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| 449 | int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,BN_CTX *ctx); |
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| 450 | |
---|
| 451 | int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, |
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| 452 | const BIGNUM *m,BN_CTX *ctx); |
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| 453 | int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, |
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| 454 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); |
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| 455 | int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p, |
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| 456 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont); |
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| 457 | int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p, |
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| 458 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); |
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| 459 | int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1, |
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| 460 | const BIGNUM *a2, const BIGNUM *p2,const BIGNUM *m, |
---|
| 461 | BN_CTX *ctx,BN_MONT_CTX *m_ctx); |
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| 462 | int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, |
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| 463 | const BIGNUM *m,BN_CTX *ctx); |
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| 464 | |
---|
| 465 | int BN_mask_bits(BIGNUM *a,int n); |
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| 466 | #ifndef OPENSSL_NO_FP_API |
---|
| 467 | int BN_print_fp(FILE *fp, const BIGNUM *a); |
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| 468 | #endif |
---|
| 469 | #ifdef HEADER_BIO_H |
---|
| 470 | int BN_print(BIO *fp, const BIGNUM *a); |
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| 471 | #else |
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| 472 | int BN_print(void *fp, const BIGNUM *a); |
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| 473 | #endif |
---|
| 474 | int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx); |
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| 475 | int BN_rshift(BIGNUM *r, const BIGNUM *a, int n); |
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| 476 | int BN_rshift1(BIGNUM *r, const BIGNUM *a); |
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| 477 | void BN_clear(BIGNUM *a); |
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| 478 | BIGNUM *BN_dup(const BIGNUM *a); |
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| 479 | int BN_ucmp(const BIGNUM *a, const BIGNUM *b); |
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| 480 | int BN_set_bit(BIGNUM *a, int n); |
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| 481 | int BN_clear_bit(BIGNUM *a, int n); |
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| 482 | char * BN_bn2hex(const BIGNUM *a); |
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| 483 | char * BN_bn2dec(const BIGNUM *a); |
---|
| 484 | int BN_hex2bn(BIGNUM **a, const char *str); |
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| 485 | int BN_dec2bn(BIGNUM **a, const char *str); |
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| 486 | int BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); |
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| 487 | int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */ |
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| 488 | BIGNUM *BN_mod_inverse(BIGNUM *ret, |
---|
| 489 | const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx); |
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| 490 | BIGNUM *BN_mod_sqrt(BIGNUM *ret, |
---|
| 491 | const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx); |
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| 492 | |
---|
| 493 | /* Deprecated versions */ |
---|
| 494 | #ifndef OPENSSL_NO_DEPRECATED |
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| 495 | BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe, |
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| 496 | const BIGNUM *add, const BIGNUM *rem, |
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| 497 | void (*callback)(int,int,void *),void *cb_arg); |
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| 498 | int BN_is_prime(const BIGNUM *p,int nchecks, |
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| 499 | void (*callback)(int,int,void *), |
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| 500 | BN_CTX *ctx,void *cb_arg); |
---|
| 501 | int BN_is_prime_fasttest(const BIGNUM *p,int nchecks, |
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| 502 | void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg, |
---|
| 503 | int do_trial_division); |
---|
| 504 | #endif /* !defined(OPENSSL_NO_DEPRECATED) */ |
---|
| 505 | |
---|
| 506 | /* Newer versions */ |
---|
| 507 | int BN_generate_prime_ex(BIGNUM *ret,int bits,int safe, const BIGNUM *add, |
---|
| 508 | const BIGNUM *rem, BN_GENCB *cb); |
---|
| 509 | int BN_is_prime_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx, BN_GENCB *cb); |
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| 510 | int BN_is_prime_fasttest_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx, |
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| 511 | int do_trial_division, BN_GENCB *cb); |
---|
| 512 | |
---|
| 513 | BN_MONT_CTX *BN_MONT_CTX_new(void ); |
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| 514 | void BN_MONT_CTX_init(BN_MONT_CTX *ctx); |
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| 515 | int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b, |
---|
| 516 | BN_MONT_CTX *mont, BN_CTX *ctx); |
---|
| 517 | #define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\ |
---|
| 518 | (r),(a),&((mont)->RR),(mont),(ctx)) |
---|
| 519 | int BN_from_montgomery(BIGNUM *r,const BIGNUM *a, |
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| 520 | BN_MONT_CTX *mont, BN_CTX *ctx); |
---|
| 521 | void BN_MONT_CTX_free(BN_MONT_CTX *mont); |
---|
| 522 | int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *mod,BN_CTX *ctx); |
---|
| 523 | BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from); |
---|
| 524 | BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock, |
---|
| 525 | const BIGNUM *mod, BN_CTX *ctx); |
---|
| 526 | |
---|
| 527 | /* BN_BLINDING flags */ |
---|
| 528 | #define BN_BLINDING_NO_UPDATE 0x00000001 |
---|
| 529 | #define BN_BLINDING_NO_RECREATE 0x00000002 |
---|
| 530 | |
---|
| 531 | BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod); |
---|
| 532 | void BN_BLINDING_free(BN_BLINDING *b); |
---|
| 533 | int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx); |
---|
| 534 | int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); |
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| 535 | int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); |
---|
| 536 | int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *); |
---|
| 537 | int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *); |
---|
| 538 | unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *); |
---|
| 539 | void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long); |
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| 540 | unsigned long BN_BLINDING_get_flags(const BN_BLINDING *); |
---|
| 541 | void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long); |
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| 542 | BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b, |
---|
| 543 | const BIGNUM *e, BIGNUM *m, BN_CTX *ctx, |
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| 544 | int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, |
---|
| 545 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx), |
---|
| 546 | BN_MONT_CTX *m_ctx); |
---|
| 547 | |
---|
| 548 | #ifndef OPENSSL_NO_DEPRECATED |
---|
| 549 | void BN_set_params(int mul,int high,int low,int mont); |
---|
| 550 | int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */ |
---|
| 551 | #endif |
---|
| 552 | |
---|
| 553 | void BN_RECP_CTX_init(BN_RECP_CTX *recp); |
---|
| 554 | BN_RECP_CTX *BN_RECP_CTX_new(void); |
---|
| 555 | void BN_RECP_CTX_free(BN_RECP_CTX *recp); |
---|
| 556 | int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx); |
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| 557 | int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y, |
---|
| 558 | BN_RECP_CTX *recp,BN_CTX *ctx); |
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| 559 | int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, |
---|
| 560 | const BIGNUM *m, BN_CTX *ctx); |
---|
| 561 | int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, |
---|
| 562 | BN_RECP_CTX *recp, BN_CTX *ctx); |
---|
| 563 | |
---|
| 564 | /* Functions for arithmetic over binary polynomials represented by BIGNUMs. |
---|
| 565 | * |
---|
| 566 | * The BIGNUM::neg property of BIGNUMs representing binary polynomials is |
---|
| 567 | * ignored. |
---|
| 568 | * |
---|
| 569 | * Note that input arguments are not const so that their bit arrays can |
---|
| 570 | * be expanded to the appropriate size if needed. |
---|
| 571 | */ |
---|
| 572 | |
---|
| 573 | int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/ |
---|
| 574 | #define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b) |
---|
| 575 | int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/ |
---|
| 576 | int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, |
---|
| 577 | const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */ |
---|
| 578 | int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, |
---|
| 579 | BN_CTX *ctx); /* r = (a * a) mod p */ |
---|
| 580 | int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, |
---|
| 581 | BN_CTX *ctx); /* r = (1 / b) mod p */ |
---|
| 582 | int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, |
---|
| 583 | const BIGNUM *p, BN_CTX *ctx); /* r = (a / b) mod p */ |
---|
| 584 | int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, |
---|
| 585 | const BIGNUM *p, BN_CTX *ctx); /* r = (a ^ b) mod p */ |
---|
| 586 | int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, |
---|
| 587 | BN_CTX *ctx); /* r = sqrt(a) mod p */ |
---|
| 588 | int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, |
---|
| 589 | BN_CTX *ctx); /* r^2 + r = a mod p */ |
---|
| 590 | #define BN_GF2m_cmp(a, b) BN_ucmp((a), (b)) |
---|
| 591 | /* Some functions allow for representation of the irreducible polynomials |
---|
| 592 | * as an unsigned int[], say p. The irreducible f(t) is then of the form: |
---|
| 593 | * t^p[0] + t^p[1] + ... + t^p[k] |
---|
| 594 | * where m = p[0] > p[1] > ... > p[k] = 0. |
---|
| 595 | */ |
---|
| 596 | int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[]); |
---|
| 597 | /* r = a mod p */ |
---|
| 598 | int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, |
---|
| 599 | const unsigned int p[], BN_CTX *ctx); /* r = (a * b) mod p */ |
---|
| 600 | int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[], |
---|
| 601 | BN_CTX *ctx); /* r = (a * a) mod p */ |
---|
| 602 | int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const unsigned int p[], |
---|
| 603 | BN_CTX *ctx); /* r = (1 / b) mod p */ |
---|
| 604 | int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, |
---|
| 605 | const unsigned int p[], BN_CTX *ctx); /* r = (a / b) mod p */ |
---|
| 606 | int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, |
---|
| 607 | const unsigned int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */ |
---|
| 608 | int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, |
---|
| 609 | const unsigned int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */ |
---|
| 610 | int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a, |
---|
| 611 | const unsigned int p[], BN_CTX *ctx); /* r^2 + r = a mod p */ |
---|
| 612 | int BN_GF2m_poly2arr(const BIGNUM *a, unsigned int p[], int max); |
---|
| 613 | int BN_GF2m_arr2poly(const unsigned int p[], BIGNUM *a); |
---|
| 614 | |
---|
| 615 | /* faster mod functions for the 'NIST primes' |
---|
| 616 | * 0 <= a < p^2 */ |
---|
| 617 | int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); |
---|
| 618 | int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); |
---|
| 619 | int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); |
---|
| 620 | int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); |
---|
| 621 | int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); |
---|
| 622 | |
---|
| 623 | const BIGNUM *BN_get0_nist_prime_192(void); |
---|
| 624 | const BIGNUM *BN_get0_nist_prime_224(void); |
---|
| 625 | const BIGNUM *BN_get0_nist_prime_256(void); |
---|
| 626 | const BIGNUM *BN_get0_nist_prime_384(void); |
---|
| 627 | const BIGNUM *BN_get0_nist_prime_521(void); |
---|
| 628 | |
---|
| 629 | /* library internal functions */ |
---|
| 630 | |
---|
| 631 | #define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\ |
---|
| 632 | (a):bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2)) |
---|
| 633 | #define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words))) |
---|
| 634 | BIGNUM *bn_expand2(BIGNUM *a, int words); |
---|
| 635 | #ifndef OPENSSL_NO_DEPRECATED |
---|
| 636 | BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */ |
---|
| 637 | #endif |
---|
| 638 | |
---|
| 639 | /* Bignum consistency macros |
---|
| 640 | * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from |
---|
| 641 | * bignum data after direct manipulations on the data. There is also an |
---|
| 642 | * "internal" macro, bn_check_top(), for verifying that there are no leading |
---|
| 643 | * zeroes. Unfortunately, some auditing is required due to the fact that |
---|
| 644 | * bn_fix_top() has become an overabused duct-tape because bignum data is |
---|
| 645 | * occasionally passed around in an inconsistent state. So the following |
---|
| 646 | * changes have been made to sort this out; |
---|
| 647 | * - bn_fix_top()s implementation has been moved to bn_correct_top() |
---|
| 648 | * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and |
---|
| 649 | * bn_check_top() is as before. |
---|
| 650 | * - if BN_DEBUG *is* defined; |
---|
| 651 | * - bn_check_top() tries to pollute unused words even if the bignum 'top' is |
---|
| 652 | * consistent. (ed: only if BN_DEBUG_RAND is defined) |
---|
| 653 | * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything. |
---|
| 654 | * The idea is to have debug builds flag up inconsistent bignums when they |
---|
| 655 | * occur. If that occurs in a bn_fix_top(), we examine the code in question; if |
---|
| 656 | * the use of bn_fix_top() was appropriate (ie. it follows directly after code |
---|
| 657 | * that manipulates the bignum) it is converted to bn_correct_top(), and if it |
---|
| 658 | * was not appropriate, we convert it permanently to bn_check_top() and track |
---|
| 659 | * down the cause of the bug. Eventually, no internal code should be using the |
---|
| 660 | * bn_fix_top() macro. External applications and libraries should try this with |
---|
| 661 | * their own code too, both in terms of building against the openssl headers |
---|
| 662 | * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it |
---|
| 663 | * defined. This not only improves external code, it provides more test |
---|
| 664 | * coverage for openssl's own code. |
---|
| 665 | */ |
---|
| 666 | |
---|
| 667 | #ifdef BN_DEBUG |
---|
| 668 | |
---|
| 669 | /* We only need assert() when debugging */ |
---|
| 670 | #include <assert.h> |
---|
| 671 | |
---|
| 672 | #ifdef BN_DEBUG_RAND |
---|
| 673 | /* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */ |
---|
| 674 | #ifndef RAND_pseudo_bytes |
---|
| 675 | int RAND_pseudo_bytes(unsigned char *buf,int num); |
---|
| 676 | #define BN_DEBUG_TRIX |
---|
| 677 | #endif |
---|
| 678 | #define bn_pollute(a) \ |
---|
| 679 | do { \ |
---|
| 680 | const BIGNUM *_bnum1 = (a); \ |
---|
| 681 | if(_bnum1->top < _bnum1->dmax) { \ |
---|
| 682 | unsigned char _tmp_char; \ |
---|
| 683 | /* We cast away const without the compiler knowing, any \ |
---|
| 684 | * *genuinely* constant variables that aren't mutable \ |
---|
| 685 | * wouldn't be constructed with top!=dmax. */ \ |
---|
| 686 | BN_ULONG *_not_const; \ |
---|
| 687 | memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \ |
---|
| 688 | RAND_pseudo_bytes(&_tmp_char, 1); \ |
---|
| 689 | memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \ |
---|
| 690 | (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \ |
---|
| 691 | } \ |
---|
| 692 | } while(0) |
---|
| 693 | #ifdef BN_DEBUG_TRIX |
---|
| 694 | #undef RAND_pseudo_bytes |
---|
| 695 | #endif |
---|
| 696 | #else |
---|
| 697 | #define bn_pollute(a) |
---|
| 698 | #endif |
---|
| 699 | #define bn_check_top(a) \ |
---|
| 700 | do { \ |
---|
| 701 | const BIGNUM *_bnum2 = (a); \ |
---|
| 702 | assert((_bnum2->top == 0) || \ |
---|
| 703 | (_bnum2->d[_bnum2->top - 1] != 0)); \ |
---|
| 704 | bn_pollute(_bnum2); \ |
---|
| 705 | } while(0) |
---|
| 706 | |
---|
| 707 | #define bn_fix_top(a) bn_check_top(a) |
---|
| 708 | |
---|
| 709 | #else /* !BN_DEBUG */ |
---|
| 710 | |
---|
| 711 | #define bn_pollute(a) |
---|
| 712 | #define bn_check_top(a) |
---|
| 713 | #define bn_fix_top(a) bn_correct_top(a) |
---|
| 714 | |
---|
| 715 | #endif |
---|
| 716 | |
---|
| 717 | #define bn_correct_top(a) \ |
---|
| 718 | { \ |
---|
| 719 | BN_ULONG *ftl; \ |
---|
| 720 | if ((a)->top > 0) \ |
---|
| 721 | { \ |
---|
| 722 | for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \ |
---|
| 723 | if (*(ftl--)) break; \ |
---|
| 724 | } \ |
---|
| 725 | bn_pollute(a); \ |
---|
| 726 | } |
---|
| 727 | |
---|
| 728 | BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); |
---|
| 729 | BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); |
---|
| 730 | void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num); |
---|
| 731 | BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d); |
---|
| 732 | BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num); |
---|
| 733 | BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num); |
---|
| 734 | |
---|
| 735 | int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom); |
---|
| 736 | |
---|
| 737 | /* BEGIN ERROR CODES */ |
---|
| 738 | /* The following lines are auto generated by the script mkerr.pl. Any changes |
---|
| 739 | * made after this point may be overwritten when the script is next run. |
---|
| 740 | */ |
---|
| 741 | void ERR_load_BN_strings(void); |
---|
| 742 | |
---|
| 743 | /* Error codes for the BN functions. */ |
---|
| 744 | |
---|
| 745 | /* Function codes. */ |
---|
| 746 | #define BN_F_BNRAND 127 |
---|
| 747 | #define BN_F_BN_BLINDING_CONVERT_EX 100 |
---|
| 748 | #define BN_F_BN_BLINDING_CREATE_PARAM 128 |
---|
| 749 | #define BN_F_BN_BLINDING_INVERT_EX 101 |
---|
| 750 | #define BN_F_BN_BLINDING_NEW 102 |
---|
| 751 | #define BN_F_BN_BLINDING_UPDATE 103 |
---|
| 752 | #define BN_F_BN_BN2DEC 104 |
---|
| 753 | #define BN_F_BN_BN2HEX 105 |
---|
| 754 | #define BN_F_BN_CTX_GET 116 |
---|
| 755 | #define BN_F_BN_CTX_NEW 106 |
---|
| 756 | #define BN_F_BN_CTX_START 129 |
---|
| 757 | #define BN_F_BN_DIV 107 |
---|
| 758 | #define BN_F_BN_DIV_RECP 130 |
---|
| 759 | #define BN_F_BN_EXP 123 |
---|
| 760 | #define BN_F_BN_EXPAND2 108 |
---|
| 761 | #define BN_F_BN_EXPAND_INTERNAL 120 |
---|
| 762 | #define BN_F_BN_GF2M_MOD 131 |
---|
| 763 | #define BN_F_BN_GF2M_MOD_EXP 132 |
---|
| 764 | #define BN_F_BN_GF2M_MOD_MUL 133 |
---|
| 765 | #define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134 |
---|
| 766 | #define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135 |
---|
| 767 | #define BN_F_BN_GF2M_MOD_SQR 136 |
---|
| 768 | #define BN_F_BN_GF2M_MOD_SQRT 137 |
---|
| 769 | #define BN_F_BN_MOD_EXP2_MONT 118 |
---|
| 770 | #define BN_F_BN_MOD_EXP_MONT 109 |
---|
| 771 | #define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124 |
---|
| 772 | #define BN_F_BN_MOD_EXP_MONT_WORD 117 |
---|
| 773 | #define BN_F_BN_MOD_EXP_RECP 125 |
---|
| 774 | #define BN_F_BN_MOD_EXP_SIMPLE 126 |
---|
| 775 | #define BN_F_BN_MOD_INVERSE 110 |
---|
| 776 | #define BN_F_BN_MOD_LSHIFT_QUICK 119 |
---|
| 777 | #define BN_F_BN_MOD_MUL_RECIPROCAL 111 |
---|
| 778 | #define BN_F_BN_MOD_SQRT 121 |
---|
| 779 | #define BN_F_BN_MPI2BN 112 |
---|
| 780 | #define BN_F_BN_NEW 113 |
---|
| 781 | #define BN_F_BN_RAND 114 |
---|
| 782 | #define BN_F_BN_RAND_RANGE 122 |
---|
| 783 | #define BN_F_BN_USUB 115 |
---|
| 784 | |
---|
| 785 | /* Reason codes. */ |
---|
| 786 | #define BN_R_ARG2_LT_ARG3 100 |
---|
| 787 | #define BN_R_BAD_RECIPROCAL 101 |
---|
| 788 | #define BN_R_BIGNUM_TOO_LONG 114 |
---|
| 789 | #define BN_R_CALLED_WITH_EVEN_MODULUS 102 |
---|
| 790 | #define BN_R_DIV_BY_ZERO 103 |
---|
| 791 | #define BN_R_ENCODING_ERROR 104 |
---|
| 792 | #define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105 |
---|
| 793 | #define BN_R_INPUT_NOT_REDUCED 110 |
---|
| 794 | #define BN_R_INVALID_LENGTH 106 |
---|
| 795 | #define BN_R_INVALID_RANGE 115 |
---|
| 796 | #define BN_R_NOT_A_SQUARE 111 |
---|
| 797 | #define BN_R_NOT_INITIALIZED 107 |
---|
| 798 | #define BN_R_NO_INVERSE 108 |
---|
| 799 | #define BN_R_NO_SOLUTION 116 |
---|
| 800 | #define BN_R_P_IS_NOT_PRIME 112 |
---|
| 801 | #define BN_R_TOO_MANY_ITERATIONS 113 |
---|
| 802 | #define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109 |
---|
| 803 | |
---|
| 804 | #ifdef __cplusplus |
---|
| 805 | } |
---|
| 806 | #endif |
---|
| 807 | #endif |
---|