[331] | 1 | /*
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| 2 | * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
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| 3 | *
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| 4 | * Licensed under the OpenSSL license (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 | /* ====================================================================
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| 11 | * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
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| 12 | *
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| 13 | * Portions of the attached software ("Contribution") are developed by
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| 14 | * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
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| 15 | *
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| 16 | * The Contribution is licensed pursuant to the Eric Young open source
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| 17 | * license provided above.
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| 18 | *
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| 19 | * The binary polynomial arithmetic software is originally written by
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| 20 | * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
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| 21 | *
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| 22 | */
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| 23 |
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| 24 | #ifndef HEADER_BN_H
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| 25 | # define HEADER_BN_H
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| 26 |
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| 27 | # include <openssl/e_os2.h>
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| 28 | # ifndef OPENSSL_NO_STDIO
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| 29 | # include <stdio.h>
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| 30 | # endif
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| 31 | # include <openssl/opensslconf.h>
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| 32 | # include <openssl/ossl_typ.h>
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| 33 | # include <openssl/crypto.h>
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| 34 |
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| 35 | #ifdef __cplusplus
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| 36 | extern "C" {
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| 37 | #endif
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| 38 |
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| 39 | /*
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| 40 | * 64-bit processor with LP64 ABI
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| 41 | */
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| 42 | # ifdef SIXTY_FOUR_BIT_LONG
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| 43 | # define BN_ULONG unsigned long
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| 44 | # define BN_BYTES 8
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| 45 | # endif
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| 46 |
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| 47 | /*
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| 48 | * 64-bit processor other than LP64 ABI
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| 49 | */
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| 50 | # ifdef SIXTY_FOUR_BIT
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| 51 | # define BN_ULONG unsigned long long
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| 52 | # define BN_BYTES 8
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| 53 | # endif
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| 54 |
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| 55 | # ifdef THIRTY_TWO_BIT
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| 56 | # define BN_ULONG unsigned int
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| 57 | # define BN_BYTES 4
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| 58 | # endif
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| 59 |
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| 60 | # define BN_BITS2 (BN_BYTES * 8)
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| 61 | # define BN_BITS (BN_BITS2 * 2)
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| 62 | # define BN_TBIT ((BN_ULONG)1 << (BN_BITS2 - 1))
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| 63 |
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| 64 | # define BN_FLG_MALLOCED 0x01
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| 65 | # define BN_FLG_STATIC_DATA 0x02
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| 66 |
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| 67 | /*
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| 68 | * avoid leaking exponent information through timing,
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| 69 | * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,
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| 70 | * BN_div() will call BN_div_no_branch,
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| 71 | * BN_mod_inverse() will call BN_mod_inverse_no_branch.
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| 72 | */
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| 73 | # define BN_FLG_CONSTTIME 0x04
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| 74 | # define BN_FLG_SECURE 0x08
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| 75 |
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| 76 | # if OPENSSL_API_COMPAT < 0x00908000L
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| 77 | /* deprecated name for the flag */
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| 78 | # define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME
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| 79 | # define BN_FLG_FREE 0x8000 /* used for debugging */
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| 80 | # endif
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| 81 |
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| 82 | void BN_set_flags(BIGNUM *b, int n);
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| 83 | int BN_get_flags(const BIGNUM *b, int n);
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| 84 |
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| 85 | /* Values for |top| in BN_rand() */
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| 86 | #define BN_RAND_TOP_ANY -1
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| 87 | #define BN_RAND_TOP_ONE 0
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| 88 | #define BN_RAND_TOP_TWO 1
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| 89 |
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| 90 | /* Values for |bottom| in BN_rand() */
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| 91 | #define BN_RAND_BOTTOM_ANY 0
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| 92 | #define BN_RAND_BOTTOM_ODD 1
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| 93 |
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| 94 | /*
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| 95 | * get a clone of a BIGNUM with changed flags, for *temporary* use only (the
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| 96 | * two BIGNUMs cannot be used in parallel!). Also only for *read only* use. The
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| 97 | * value |dest| should be a newly allocated BIGNUM obtained via BN_new() that
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| 98 | * has not been otherwise initialised or used.
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| 99 | */
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| 100 | void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int flags);
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| 101 |
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| 102 | /* Wrapper function to make using BN_GENCB easier */
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| 103 | int BN_GENCB_call(BN_GENCB *cb, int a, int b);
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| 104 |
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| 105 | BN_GENCB *BN_GENCB_new(void);
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| 106 | void BN_GENCB_free(BN_GENCB *cb);
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| 107 |
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| 108 | /* Populate a BN_GENCB structure with an "old"-style callback */
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| 109 | void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback) (int, int, void *),
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| 110 | void *cb_arg);
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| 111 |
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| 112 | /* Populate a BN_GENCB structure with a "new"-style callback */
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| 113 | void BN_GENCB_set(BN_GENCB *gencb, int (*callback) (int, int, BN_GENCB *),
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| 114 | void *cb_arg);
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| 115 |
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| 116 | void *BN_GENCB_get_arg(BN_GENCB *cb);
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| 117 |
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| 118 | # define BN_prime_checks 0 /* default: select number of iterations based
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| 119 | * on the size of the number */
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| 120 |
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| 121 | /*
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| 122 | * number of Miller-Rabin iterations for an error rate of less than 2^-80 for
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| 123 | * random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook of
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| 124 | * Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
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| 125 | * original paper: Damgaard, Landrock, Pomerance: Average case error
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| 126 | * estimates for the strong probable prime test. -- Math. Comp. 61 (1993)
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| 127 | * 177-194)
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| 128 | */
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| 129 | # define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
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| 130 | (b) >= 850 ? 3 : \
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| 131 | (b) >= 650 ? 4 : \
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| 132 | (b) >= 550 ? 5 : \
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| 133 | (b) >= 450 ? 6 : \
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| 134 | (b) >= 400 ? 7 : \
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| 135 | (b) >= 350 ? 8 : \
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| 136 | (b) >= 300 ? 9 : \
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| 137 | (b) >= 250 ? 12 : \
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| 138 | (b) >= 200 ? 15 : \
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| 139 | (b) >= 150 ? 18 : \
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| 140 | /* b >= 100 */ 27)
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| 141 |
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| 142 | # define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
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| 143 |
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| 144 | int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w);
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| 145 | int BN_is_zero(const BIGNUM *a);
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| 146 | int BN_is_one(const BIGNUM *a);
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| 147 | int BN_is_word(const BIGNUM *a, const BN_ULONG w);
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| 148 | int BN_is_odd(const BIGNUM *a);
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| 149 |
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| 150 | # define BN_one(a) (BN_set_word((a),1))
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| 151 |
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| 152 | void BN_zero_ex(BIGNUM *a);
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| 153 |
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| 154 | # if OPENSSL_API_COMPAT >= 0x00908000L
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| 155 | # define BN_zero(a) BN_zero_ex(a)
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| 156 | # else
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| 157 | # define BN_zero(a) (BN_set_word((a),0))
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| 158 | # endif
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| 159 |
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| 160 | const BIGNUM *BN_value_one(void);
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| 161 | char *BN_options(void);
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| 162 | BN_CTX *BN_CTX_new(void);
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| 163 | BN_CTX *BN_CTX_secure_new(void);
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| 164 | void BN_CTX_free(BN_CTX *c);
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| 165 | void BN_CTX_start(BN_CTX *ctx);
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| 166 | BIGNUM *BN_CTX_get(BN_CTX *ctx);
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| 167 | void BN_CTX_end(BN_CTX *ctx);
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| 168 | int BN_rand(BIGNUM *rnd, int bits, int top, int bottom);
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| 169 | int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom);
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| 170 | int BN_rand_range(BIGNUM *rnd, const BIGNUM *range);
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| 171 | int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range);
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| 172 | int BN_num_bits(const BIGNUM *a);
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| 173 | int BN_num_bits_word(BN_ULONG l);
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| 174 | int BN_security_bits(int L, int N);
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| 175 | BIGNUM *BN_new(void);
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| 176 | BIGNUM *BN_secure_new(void);
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| 177 | void BN_clear_free(BIGNUM *a);
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| 178 | BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
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| 179 | void BN_swap(BIGNUM *a, BIGNUM *b);
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| 180 | BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret);
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| 181 | int BN_bn2bin(const BIGNUM *a, unsigned char *to);
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| 182 | int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen);
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| 183 | BIGNUM *BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret);
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| 184 | int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen);
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| 185 | BIGNUM *BN_mpi2bn(const unsigned char *s, int len, BIGNUM *ret);
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| 186 | int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
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| 187 | int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
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| 188 | int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
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| 189 | int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
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| 190 | int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
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| 191 | int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
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| 192 | int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx);
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| 193 | /** BN_set_negative sets sign of a BIGNUM
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| 194 | * \param b pointer to the BIGNUM object
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| 195 | * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise
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| 196 | */
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| 197 | void BN_set_negative(BIGNUM *b, int n);
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| 198 | /** BN_is_negative returns 1 if the BIGNUM is negative
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| 199 | * \param a pointer to the BIGNUM object
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| 200 | * \return 1 if a < 0 and 0 otherwise
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| 201 | */
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| 202 | int BN_is_negative(const BIGNUM *b);
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| 203 |
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| 204 | int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
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| 205 | BN_CTX *ctx);
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| 206 | # define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
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| 207 | int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
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| 208 | int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
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| 209 | BN_CTX *ctx);
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| 210 | int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
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| 211 | const BIGNUM *m);
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| 212 | int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
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| 213 | BN_CTX *ctx);
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| 214 | int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
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| 215 | const BIGNUM *m);
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| 216 | int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
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| 217 | BN_CTX *ctx);
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| 218 | int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
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| 219 | int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
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| 220 | int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
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| 221 | int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m,
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| 222 | BN_CTX *ctx);
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| 223 | int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
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| 224 |
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| 225 | BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
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| 226 | BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
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| 227 | int BN_mul_word(BIGNUM *a, BN_ULONG w);
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| 228 | int BN_add_word(BIGNUM *a, BN_ULONG w);
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| 229 | int BN_sub_word(BIGNUM *a, BN_ULONG w);
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| 230 | int BN_set_word(BIGNUM *a, BN_ULONG w);
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| 231 | BN_ULONG BN_get_word(const BIGNUM *a);
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| 232 |
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| 233 | int BN_cmp(const BIGNUM *a, const BIGNUM *b);
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| 234 | void BN_free(BIGNUM *a);
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| 235 | int BN_is_bit_set(const BIGNUM *a, int n);
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| 236 | int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
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| 237 | int BN_lshift1(BIGNUM *r, const BIGNUM *a);
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| 238 | int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
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| 239 |
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| 240 | int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
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| 241 | const BIGNUM *m, BN_CTX *ctx);
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| 242 | int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
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| 243 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
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| 244 | int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
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| 245 | const BIGNUM *m, BN_CTX *ctx,
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| 246 | BN_MONT_CTX *in_mont);
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| 247 | int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
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| 248 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
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| 249 | int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
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| 250 | const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m,
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| 251 | BN_CTX *ctx, BN_MONT_CTX *m_ctx);
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| 252 | int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
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| 253 | const BIGNUM *m, BN_CTX *ctx);
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| 254 |
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| 255 | int BN_mask_bits(BIGNUM *a, int n);
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| 256 | # ifndef OPENSSL_NO_STDIO
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| 257 | int BN_print_fp(FILE *fp, const BIGNUM *a);
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| 258 | # endif
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| 259 | int BN_print(BIO *bio, const BIGNUM *a);
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| 260 | int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
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| 261 | int BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
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| 262 | int BN_rshift1(BIGNUM *r, const BIGNUM *a);
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| 263 | void BN_clear(BIGNUM *a);
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| 264 | BIGNUM *BN_dup(const BIGNUM *a);
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| 265 | int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
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| 266 | int BN_set_bit(BIGNUM *a, int n);
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| 267 | int BN_clear_bit(BIGNUM *a, int n);
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| 268 | char *BN_bn2hex(const BIGNUM *a);
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| 269 | char *BN_bn2dec(const BIGNUM *a);
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| 270 | int BN_hex2bn(BIGNUM **a, const char *str);
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| 271 | int BN_dec2bn(BIGNUM **a, const char *str);
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| 272 | int BN_asc2bn(BIGNUM **a, const char *str);
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| 273 | int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
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| 274 | int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); /* returns
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| 275 | * -2 for
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| 276 | * error */
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| 277 | BIGNUM *BN_mod_inverse(BIGNUM *ret,
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| 278 | const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
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| 279 | BIGNUM *BN_mod_sqrt(BIGNUM *ret,
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| 280 | const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
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| 281 |
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| 282 | void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords);
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| 283 |
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| 284 | /* Deprecated versions */
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| 285 | DEPRECATEDIN_0_9_8(BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe,
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| 286 | const BIGNUM *add,
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| 287 | const BIGNUM *rem,
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| 288 | void (*callback) (int, int,
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| 289 | void *),
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| 290 | void *cb_arg))
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| 291 | DEPRECATEDIN_0_9_8(int
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| 292 | BN_is_prime(const BIGNUM *p, int nchecks,
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| 293 | void (*callback) (int, int, void *),
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| 294 | BN_CTX *ctx, void *cb_arg))
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| 295 | DEPRECATEDIN_0_9_8(int
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| 296 | BN_is_prime_fasttest(const BIGNUM *p, int nchecks,
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| 297 | void (*callback) (int, int, void *),
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| 298 | BN_CTX *ctx, void *cb_arg,
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| 299 | int do_trial_division))
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| 300 |
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| 301 | /* Newer versions */
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| 302 | int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe, const BIGNUM *add,
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| 303 | const BIGNUM *rem, BN_GENCB *cb);
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| 304 | int BN_is_prime_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, BN_GENCB *cb);
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| 305 | int BN_is_prime_fasttest_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx,
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| 306 | int do_trial_division, BN_GENCB *cb);
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| 307 |
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| 308 | int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx);
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| 309 |
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| 310 | int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2,
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| 311 | const BIGNUM *Xp, const BIGNUM *Xp1,
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| 312 | const BIGNUM *Xp2, const BIGNUM *e, BN_CTX *ctx,
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| 313 | BN_GENCB *cb);
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| 314 | int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, BIGNUM *Xp1,
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| 315 | BIGNUM *Xp2, const BIGNUM *Xp, const BIGNUM *e,
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| 316 | BN_CTX *ctx, BN_GENCB *cb);
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| 317 |
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| 318 | BN_MONT_CTX *BN_MONT_CTX_new(void);
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| 319 | int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
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| 320 | BN_MONT_CTX *mont, BN_CTX *ctx);
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| 321 | int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
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| 322 | BN_CTX *ctx);
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| 323 | int BN_from_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
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| 324 | BN_CTX *ctx);
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| 325 | void BN_MONT_CTX_free(BN_MONT_CTX *mont);
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| 326 | int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx);
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| 327 | BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from);
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| 328 | BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, CRYPTO_RWLOCK *lock,
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| 329 | const BIGNUM *mod, BN_CTX *ctx);
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| 330 |
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| 331 | /* BN_BLINDING flags */
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| 332 | # define BN_BLINDING_NO_UPDATE 0x00000001
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| 333 | # define BN_BLINDING_NO_RECREATE 0x00000002
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| 334 |
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| 335 | BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod);
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| 336 | void BN_BLINDING_free(BN_BLINDING *b);
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| 337 | int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx);
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| 338 | int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
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| 339 | int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
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| 340 | int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
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| 341 | int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b,
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| 342 | BN_CTX *);
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| 343 |
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| 344 | int BN_BLINDING_is_current_thread(BN_BLINDING *b);
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| 345 | void BN_BLINDING_set_current_thread(BN_BLINDING *b);
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| 346 | int BN_BLINDING_lock(BN_BLINDING *b);
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| 347 | int BN_BLINDING_unlock(BN_BLINDING *b);
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| 348 |
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| 349 | unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
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| 350 | void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
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| 351 | BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
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| 352 | const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
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| 353 | int (*bn_mod_exp) (BIGNUM *r,
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| 354 | const BIGNUM *a,
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| 355 | const BIGNUM *p,
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| 356 | const BIGNUM *m,
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| 357 | BN_CTX *ctx,
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| 358 | BN_MONT_CTX *m_ctx),
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| 359 | BN_MONT_CTX *m_ctx);
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| 360 |
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| 361 | DEPRECATEDIN_0_9_8(void BN_set_params(int mul, int high, int low, int mont))
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| 362 | DEPRECATEDIN_0_9_8(int BN_get_params(int which)) /* 0, mul, 1 high, 2 low, 3
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| 363 | * mont */
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| 364 |
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| 365 | BN_RECP_CTX *BN_RECP_CTX_new(void);
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| 366 | void BN_RECP_CTX_free(BN_RECP_CTX *recp);
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| 367 | int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *rdiv, BN_CTX *ctx);
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| 368 | int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
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| 369 | BN_RECP_CTX *recp, BN_CTX *ctx);
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| 370 | int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
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| 371 | const BIGNUM *m, BN_CTX *ctx);
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| 372 | int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
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| 373 | BN_RECP_CTX *recp, BN_CTX *ctx);
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| 374 |
|
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| 375 | # ifndef OPENSSL_NO_EC2M
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| 376 |
|
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| 377 | /*
|
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| 378 | * Functions for arithmetic over binary polynomials represented by BIGNUMs.
|
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| 379 | * The BIGNUM::neg property of BIGNUMs representing binary polynomials is
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| 380 | * ignored. Note that input arguments are not const so that their bit arrays
|
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| 381 | * can be expanded to the appropriate size if needed.
|
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| 382 | */
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| 383 |
|
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| 384 | /*
|
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| 385 | * r = a + b
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| 386 | */
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| 387 | int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
|
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| 388 | # define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
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| 389 | /*
|
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| 390 | * r=a mod p
|
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| 391 | */
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| 392 | int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p);
|
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| 393 | /* r = (a * b) mod p */
|
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| 394 | int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
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| 395 | const BIGNUM *p, BN_CTX *ctx);
|
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| 396 | /* r = (a * a) mod p */
|
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| 397 | int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
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| 398 | /* r = (1 / b) mod p */
|
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| 399 | int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx);
|
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| 400 | /* r = (a / b) mod p */
|
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| 401 | int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
|
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| 402 | const BIGNUM *p, BN_CTX *ctx);
|
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| 403 | /* r = (a ^ b) mod p */
|
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| 404 | int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
|
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| 405 | const BIGNUM *p, BN_CTX *ctx);
|
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| 406 | /* r = sqrt(a) mod p */
|
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| 407 | int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
|
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| 408 | BN_CTX *ctx);
|
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| 409 | /* r^2 + r = a mod p */
|
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| 410 | int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
|
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| 411 | BN_CTX *ctx);
|
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| 412 | # define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
|
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| 413 | /*-
|
---|
| 414 | * Some functions allow for representation of the irreducible polynomials
|
---|
| 415 | * as an unsigned int[], say p. The irreducible f(t) is then of the form:
|
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| 416 | * t^p[0] + t^p[1] + ... + t^p[k]
|
---|
| 417 | * where m = p[0] > p[1] > ... > p[k] = 0.
|
---|
| 418 | */
|
---|
| 419 | /* r = a mod p */
|
---|
| 420 | int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]);
|
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| 421 | /* r = (a * b) mod p */
|
---|
| 422 | int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
|
---|
| 423 | const int p[], BN_CTX *ctx);
|
---|
| 424 | /* r = (a * a) mod p */
|
---|
| 425 | int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[],
|
---|
| 426 | BN_CTX *ctx);
|
---|
| 427 | /* r = (1 / b) mod p */
|
---|
| 428 | int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[],
|
---|
| 429 | BN_CTX *ctx);
|
---|
| 430 | /* r = (a / b) mod p */
|
---|
| 431 | int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
|
---|
| 432 | const int p[], BN_CTX *ctx);
|
---|
| 433 | /* r = (a ^ b) mod p */
|
---|
| 434 | int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
|
---|
| 435 | const int p[], BN_CTX *ctx);
|
---|
| 436 | /* r = sqrt(a) mod p */
|
---|
| 437 | int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
|
---|
| 438 | const int p[], BN_CTX *ctx);
|
---|
| 439 | /* r^2 + r = a mod p */
|
---|
| 440 | int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
|
---|
| 441 | const int p[], BN_CTX *ctx);
|
---|
| 442 | int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max);
|
---|
| 443 | int BN_GF2m_arr2poly(const int p[], BIGNUM *a);
|
---|
| 444 |
|
---|
| 445 | # endif
|
---|
| 446 |
|
---|
| 447 | /*
|
---|
| 448 | * faster mod functions for the 'NIST primes' 0 <= a < p^2
|
---|
| 449 | */
|
---|
| 450 | int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
---|
| 451 | int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
---|
| 452 | int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
---|
| 453 | int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
---|
| 454 | int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
---|
| 455 |
|
---|
| 456 | const BIGNUM *BN_get0_nist_prime_192(void);
|
---|
| 457 | const BIGNUM *BN_get0_nist_prime_224(void);
|
---|
| 458 | const BIGNUM *BN_get0_nist_prime_256(void);
|
---|
| 459 | const BIGNUM *BN_get0_nist_prime_384(void);
|
---|
| 460 | const BIGNUM *BN_get0_nist_prime_521(void);
|
---|
| 461 |
|
---|
| 462 | int (*BN_nist_mod_func(const BIGNUM *p)) (BIGNUM *r, const BIGNUM *a,
|
---|
| 463 | const BIGNUM *field, BN_CTX *ctx);
|
---|
| 464 |
|
---|
| 465 | int BN_generate_dsa_nonce(BIGNUM *out, const BIGNUM *range,
|
---|
| 466 | const BIGNUM *priv, const unsigned char *message,
|
---|
| 467 | size_t message_len, BN_CTX *ctx);
|
---|
| 468 |
|
---|
| 469 | /* Primes from RFC 2409 */
|
---|
| 470 | BIGNUM *BN_get_rfc2409_prime_768(BIGNUM *bn);
|
---|
| 471 | BIGNUM *BN_get_rfc2409_prime_1024(BIGNUM *bn);
|
---|
| 472 |
|
---|
| 473 | /* Primes from RFC 3526 */
|
---|
| 474 | BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn);
|
---|
| 475 | BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn);
|
---|
| 476 | BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn);
|
---|
| 477 | BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn);
|
---|
| 478 | BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn);
|
---|
| 479 | BIGNUM *BN_get_rfc3526_prime_8192(BIGNUM *bn);
|
---|
| 480 |
|
---|
| 481 | # if OPENSSL_API_COMPAT < 0x10100000L
|
---|
| 482 | # define get_rfc2409_prime_768 BN_get_rfc2409_prime_768
|
---|
| 483 | # define get_rfc2409_prime_1024 BN_get_rfc2409_prime_1024
|
---|
| 484 | # define get_rfc3526_prime_1536 BN_get_rfc3526_prime_1536
|
---|
| 485 | # define get_rfc3526_prime_2048 BN_get_rfc3526_prime_2048
|
---|
| 486 | # define get_rfc3526_prime_3072 BN_get_rfc3526_prime_3072
|
---|
| 487 | # define get_rfc3526_prime_4096 BN_get_rfc3526_prime_4096
|
---|
| 488 | # define get_rfc3526_prime_6144 BN_get_rfc3526_prime_6144
|
---|
| 489 | # define get_rfc3526_prime_8192 BN_get_rfc3526_prime_8192
|
---|
| 490 | # endif
|
---|
| 491 |
|
---|
| 492 | int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom);
|
---|
| 493 |
|
---|
| 494 | /* BEGIN ERROR CODES */
|
---|
| 495 | /*
|
---|
| 496 | * The following lines are auto generated by the script mkerr.pl. Any changes
|
---|
| 497 | * made after this point may be overwritten when the script is next run.
|
---|
| 498 | */
|
---|
| 499 |
|
---|
| 500 | int ERR_load_BN_strings(void);
|
---|
| 501 |
|
---|
| 502 | /* Error codes for the BN functions. */
|
---|
| 503 |
|
---|
| 504 | /* Function codes. */
|
---|
| 505 | # define BN_F_BNRAND 127
|
---|
| 506 | # define BN_F_BN_BLINDING_CONVERT_EX 100
|
---|
| 507 | # define BN_F_BN_BLINDING_CREATE_PARAM 128
|
---|
| 508 | # define BN_F_BN_BLINDING_INVERT_EX 101
|
---|
| 509 | # define BN_F_BN_BLINDING_NEW 102
|
---|
| 510 | # define BN_F_BN_BLINDING_UPDATE 103
|
---|
| 511 | # define BN_F_BN_BN2DEC 104
|
---|
| 512 | # define BN_F_BN_BN2HEX 105
|
---|
| 513 | # define BN_F_BN_COMPUTE_WNAF 142
|
---|
| 514 | # define BN_F_BN_CTX_GET 116
|
---|
| 515 | # define BN_F_BN_CTX_NEW 106
|
---|
| 516 | # define BN_F_BN_CTX_START 129
|
---|
| 517 | # define BN_F_BN_DIV 107
|
---|
| 518 | # define BN_F_BN_DIV_RECP 130
|
---|
| 519 | # define BN_F_BN_EXP 123
|
---|
| 520 | # define BN_F_BN_EXPAND_INTERNAL 120
|
---|
| 521 | # define BN_F_BN_GENCB_NEW 143
|
---|
| 522 | # define BN_F_BN_GENERATE_DSA_NONCE 140
|
---|
| 523 | # define BN_F_BN_GENERATE_PRIME_EX 141
|
---|
| 524 | # define BN_F_BN_GF2M_MOD 131
|
---|
| 525 | # define BN_F_BN_GF2M_MOD_EXP 132
|
---|
| 526 | # define BN_F_BN_GF2M_MOD_MUL 133
|
---|
| 527 | # define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134
|
---|
| 528 | # define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135
|
---|
| 529 | # define BN_F_BN_GF2M_MOD_SQR 136
|
---|
| 530 | # define BN_F_BN_GF2M_MOD_SQRT 137
|
---|
| 531 | # define BN_F_BN_LSHIFT 145
|
---|
| 532 | # define BN_F_BN_MOD_EXP2_MONT 118
|
---|
| 533 | # define BN_F_BN_MOD_EXP_MONT 109
|
---|
| 534 | # define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124
|
---|
| 535 | # define BN_F_BN_MOD_EXP_MONT_WORD 117
|
---|
| 536 | # define BN_F_BN_MOD_EXP_RECP 125
|
---|
| 537 | # define BN_F_BN_MOD_EXP_SIMPLE 126
|
---|
| 538 | # define BN_F_BN_MOD_INVERSE 110
|
---|
| 539 | # define BN_F_BN_MOD_INVERSE_NO_BRANCH 139
|
---|
| 540 | # define BN_F_BN_MOD_LSHIFT_QUICK 119
|
---|
| 541 | # define BN_F_BN_MOD_SQRT 121
|
---|
| 542 | # define BN_F_BN_MPI2BN 112
|
---|
| 543 | # define BN_F_BN_NEW 113
|
---|
| 544 | # define BN_F_BN_RAND 114
|
---|
| 545 | # define BN_F_BN_RAND_RANGE 122
|
---|
| 546 | # define BN_F_BN_RSHIFT 146
|
---|
| 547 | # define BN_F_BN_SET_WORDS 144
|
---|
| 548 | # define BN_F_BN_USUB 115
|
---|
| 549 |
|
---|
| 550 | /* Reason codes. */
|
---|
| 551 | # define BN_R_ARG2_LT_ARG3 100
|
---|
| 552 | # define BN_R_BAD_RECIPROCAL 101
|
---|
| 553 | # define BN_R_BIGNUM_TOO_LONG 114
|
---|
| 554 | # define BN_R_BITS_TOO_SMALL 118
|
---|
| 555 | # define BN_R_CALLED_WITH_EVEN_MODULUS 102
|
---|
| 556 | # define BN_R_DIV_BY_ZERO 103
|
---|
| 557 | # define BN_R_ENCODING_ERROR 104
|
---|
| 558 | # define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
|
---|
| 559 | # define BN_R_INPUT_NOT_REDUCED 110
|
---|
| 560 | # define BN_R_INVALID_LENGTH 106
|
---|
| 561 | # define BN_R_INVALID_RANGE 115
|
---|
| 562 | # define BN_R_INVALID_SHIFT 119
|
---|
| 563 | # define BN_R_NOT_A_SQUARE 111
|
---|
| 564 | # define BN_R_NOT_INITIALIZED 107
|
---|
| 565 | # define BN_R_NO_INVERSE 108
|
---|
| 566 | # define BN_R_NO_SOLUTION 116
|
---|
| 567 | # define BN_R_PRIVATE_KEY_TOO_LARGE 117
|
---|
| 568 | # define BN_R_P_IS_NOT_PRIME 112
|
---|
| 569 | # define BN_R_TOO_MANY_ITERATIONS 113
|
---|
| 570 | # define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109
|
---|
| 571 |
|
---|
| 572 | # ifdef __cplusplus
|
---|
| 573 | }
|
---|
| 574 | # endif
|
---|
| 575 | #endif
|
---|