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Diffstat (limited to 'include/openssl/bn.h')
| -rw-r--r-- | include/openssl/bn.h | 759 |
1 files changed, 759 insertions, 0 deletions
diff --git a/include/openssl/bn.h b/include/openssl/bn.h new file mode 100644 index 0000000000..f13760547d --- /dev/null +++ b/include/openssl/bn.h @@ -0,0 +1,759 @@ +/* crypto/bn/bn.h */ +/* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com) + * All rights reserved. + * + * This package is an SSL implementation written + * by Eric Young (eay@cryptsoft.com). + * The implementation was written so as to conform with Netscapes SSL. + * + * This library is free for commercial and non-commercial use as long as + * the following conditions are aheared to. The following conditions + * apply to all code found in this distribution, be it the RC4, RSA, + * lhash, DES, etc., code; not just the SSL code. The SSL documentation + * included with this distribution is covered by the same copyright terms + * except that the holder is Tim Hudson (tjh@cryptsoft.com). + * + * Copyright remains Eric Young's, and as such any Copyright notices in + * the code are not to be removed. + * If this package is used in a product, Eric Young should be given attribution + * as the author of the parts of the library used. + * This can be in the form of a textual message at program startup or + * in documentation (online or textual) provided with the package. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * 3. All advertising materials mentioning features or use of this software + * must display the following acknowledgement: + * "This product includes cryptographic software written by + * Eric Young (eay@cryptsoft.com)" + * The word 'cryptographic' can be left out if the rouines from the library + * being used are not cryptographic related :-). + * 4. If you include any Windows specific code (or a derivative thereof) from + * the apps directory (application code) you must include an acknowledgement: + * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" + * + * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * The licence and distribution terms for any publically available version or + * derivative of this code cannot be changed. i.e. this code cannot simply be + * copied and put under another distribution licence + * [including the GNU Public Licence.] + */ +/* ==================================================================== + * Copyright (c) 1998-2006 The OpenSSL Project. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * + * 3. All advertising materials mentioning features or use of this + * software must display the following acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" + * + * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to + * endorse or promote products derived from this software without + * prior written permission. For written permission, please contact + * openssl-core@openssl.org. + * + * 5. Products derived from this software may not be called "OpenSSL" + * nor may "OpenSSL" appear in their names without prior written + * permission of the OpenSSL Project. + * + * 6. Redistributions of any form whatsoever must retain the following + * acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit (http://www.openssl.org/)" + * + * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY + * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR + * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, + * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT + * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, + * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED + * OF THE POSSIBILITY OF SUCH DAMAGE. + * ==================================================================== + * + * This product includes cryptographic software written by Eric Young + * (eay@cryptsoft.com). This product includes software written by Tim + * Hudson (tjh@cryptsoft.com). + * + */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * Portions of the attached software ("Contribution") are developed by + * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. + * + * The Contribution is licensed pursuant to the Eric Young open source + * license provided above. + * + * The binary polynomial arithmetic software is originally written by + * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. + * + */ + +#ifndef HEADER_BN_H +# define HEADER_BN_H + +# include <openssl/e_os2.h> +# ifndef OPENSSL_NO_STDIO +# include <stdio.h> /* FILE */ +# endif +# include <openssl/ossl_typ.h> +# include <openssl/crypto.h> + +#ifdef __cplusplus +extern "C" { +#endif + +/* + * These preprocessor symbols control various aspects of the bignum headers + * and library code. They're not defined by any "normal" configuration, as + * they are intended for development and testing purposes. NB: defining all + * three can be useful for debugging application code as well as openssl + * itself. BN_DEBUG - turn on various debugging alterations to the bignum + * code BN_DEBUG_RAND - uses random poisoning of unused words to trip up + * mismanagement of bignum internals. You must also define BN_DEBUG. + */ +/* #define BN_DEBUG */ +/* #define BN_DEBUG_RAND */ + +# ifndef OPENSSL_SMALL_FOOTPRINT +# define BN_MUL_COMBA +# define BN_SQR_COMBA +# define BN_RECURSION +# endif + +/* + * This next option uses the C libraries (2 word)/(1 word) function. If it is + * not defined, I use my C version (which is slower). The reason for this + * flag is that when the particular C compiler library routine is used, and + * the library is linked with a different compiler, the library is missing. + * This mostly happens when the library is built with gcc and then linked + * using normal cc. This would be a common occurrence because gcc normally + * produces code that is 2 times faster than system compilers for the big + * number stuff. For machines with only one compiler (or shared libraries), + * this should be on. Again this in only really a problem on machines using + * "long long's", are 32bit, and are not using my assembler code. + */ +# if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \ + defined(OPENSSL_SYS_WIN32) || defined(linux) +# ifndef BN_DIV2W +# define BN_DIV2W +# endif +# endif + +/* + * assuming long is 64bit - this is the DEC Alpha unsigned long long is only + * 64 bits :-(, don't define BN_LLONG for the DEC Alpha + */ +# ifdef SIXTY_FOUR_BIT_LONG +# define BN_ULLONG unsigned long long +# define BN_ULONG unsigned long +# define BN_LONG long +# define BN_BITS 128 +# define BN_BYTES 8 +# define BN_BITS2 64 +# define BN_BITS4 32 +# define BN_MASK (0xffffffffffffffffffffffffffffffffLL) +# define BN_MASK2 (0xffffffffffffffffL) +# define BN_MASK2l (0xffffffffL) +# define BN_MASK2h (0xffffffff00000000L) +# define BN_MASK2h1 (0xffffffff80000000L) +# define BN_TBIT (0x8000000000000000L) +# define BN_DEC_CONV (10000000000000000000UL) +# define BN_DEC_FMT1 "%lu" +# define BN_DEC_FMT2 "%019lu" +# define BN_DEC_NUM 19 +# define BN_HEX_FMT1 "%lX" +# define BN_HEX_FMT2 "%016lX" +# endif + +/* + * This is where the long long data type is 64 bits, but long is 32. For + * machines where there are 64bit registers, this is the mode to use. IRIX, + * on R4000 and above should use this mode, along with the relevant assembler + * code :-). Do NOT define BN_LLONG. + */ +# ifdef SIXTY_FOUR_BIT +# undef BN_LLONG +# undef BN_ULLONG +# define BN_ULONG unsigned long long +# define BN_LONG long long +# define BN_BITS 128 +# define BN_BYTES 8 +# define BN_BITS2 64 +# define BN_BITS4 32 +# define BN_MASK2 (0xffffffffffffffffLL) +# define BN_MASK2l (0xffffffffL) +# define BN_MASK2h (0xffffffff00000000LL) +# define BN_MASK2h1 (0xffffffff80000000LL) +# define BN_TBIT (0x8000000000000000LL) +# define BN_DEC_CONV (10000000000000000000ULL) +# define BN_DEC_FMT1 "%llu" +# define BN_DEC_FMT2 "%019llu" +# define BN_DEC_NUM 19 +# define BN_HEX_FMT1 "%llX" +# define BN_HEX_FMT2 "%016llX" +# endif + +# ifdef THIRTY_TWO_BIT +# ifdef BN_LLONG +# if defined(_WIN32) && !defined(__GNUC__) +# define BN_ULLONG unsigned __int64 +# define BN_MASK (0xffffffffffffffffI64) +# else +# define BN_ULLONG unsigned long long +# define BN_MASK (0xffffffffffffffffLL) +# endif +# endif +# define BN_ULONG unsigned int +# define BN_LONG int +# define BN_BITS 64 +# define BN_BYTES 4 +# define BN_BITS2 32 +# define BN_BITS4 16 +# define BN_MASK2 (0xffffffffL) +# define BN_MASK2l (0xffff) +# define BN_MASK2h1 (0xffff8000L) +# define BN_MASK2h (0xffff0000L) +# define BN_TBIT (0x80000000L) +# define BN_DEC_CONV (1000000000L) +# define BN_DEC_FMT1 "%u" +# define BN_DEC_FMT2 "%09u" +# define BN_DEC_NUM 9 +# define BN_HEX_FMT1 "%X" +# define BN_HEX_FMT2 "%08X" +# endif + +# define BN_DEFAULT_BITS 1280 + +# define BN_FLG_MALLOCED 0x01 +# define BN_FLG_STATIC_DATA 0x02 + +/* + * avoid leaking exponent information through timing, + * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime, + * BN_div() will call BN_div_no_branch, + * BN_mod_inverse() will call BN_mod_inverse_no_branch. + */ +# define BN_FLG_CONSTTIME 0x04 + +# ifdef OPENSSL_USE_DEPRECATED +/* deprecated name for the flag */ +# define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME +/* + * avoid leaking exponent information through timings + * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) + */ +# endif + +# ifdef OPENSSL_USE_DEPRECATED +# define BN_FLG_FREE 0x8000 + /* used for debuging */ +# endif + +void BN_set_flags(BIGNUM *b, int n); +int BN_get_flags(const BIGNUM *b, int n); + +/* + * get a clone of a BIGNUM with changed flags, for *temporary* use only (the + * two BIGNUMs cannot not be used in parallel!) + */ +void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int n); + +/* Wrapper function to make using BN_GENCB easier, */ +int BN_GENCB_call(BN_GENCB *cb, int a, int b); + +BN_GENCB *BN_GENCB_new(void); +void BN_GENCB_free(BN_GENCB *cb); + +/* Populate a BN_GENCB structure with an "old"-style callback */ +void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback) (int, int, void *), + void *cb_arg); + +/* Populate a BN_GENCB structure with a "new"-style callback */ +void BN_GENCB_set(BN_GENCB *gencb, int (*callback) (int, int, BN_GENCB *), + void *cb_arg); + +void *BN_GENCB_get_arg(BN_GENCB *cb); + +# define BN_prime_checks 0 /* default: select number of iterations based + * on the size of the number */ + +/* + * number of Miller-Rabin iterations for an error rate of less than 2^-80 for + * random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook of + * Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996]; + * original paper: Damgaard, Landrock, Pomerance: Average case error + * estimates for the strong probable prime test. -- Math. Comp. 61 (1993) + * 177-194) + */ +# define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \ + (b) >= 850 ? 3 : \ + (b) >= 650 ? 4 : \ + (b) >= 550 ? 5 : \ + (b) >= 450 ? 6 : \ + (b) >= 400 ? 7 : \ + (b) >= 350 ? 8 : \ + (b) >= 300 ? 9 : \ + (b) >= 250 ? 12 : \ + (b) >= 200 ? 15 : \ + (b) >= 150 ? 18 : \ + /* b >= 100 */ 27) + +# define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) + +int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w); +int BN_is_zero(const BIGNUM *a); +int BN_is_one(const BIGNUM *a); +int BN_is_word(const BIGNUM *a, const BN_ULONG w); +int BN_is_odd(const BIGNUM *a); + +# define BN_one(a) (BN_set_word((a),1)) + +void BN_zero_ex(BIGNUM *a); + +# ifndef OPENSSL_USE_DEPRECATED +# define BN_zero(a) BN_zero_ex(a) +# else +# define BN_zero(a) (BN_set_word((a),0)) +# endif + +const BIGNUM *BN_value_one(void); +char *BN_options(void); +BN_CTX *BN_CTX_new(void); +void BN_CTX_free(BN_CTX *c); +void BN_CTX_start(BN_CTX *ctx); +BIGNUM *BN_CTX_get(BN_CTX *ctx); +void BN_CTX_end(BN_CTX *ctx); +int BN_rand(BIGNUM *rnd, int bits, int top, int bottom); +int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom); +int BN_rand_range(BIGNUM *rnd, const BIGNUM *range); +int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range); +int BN_num_bits(const BIGNUM *a); +int BN_num_bits_word(BN_ULONG l); +int BN_security_bits(int L, int N); +BIGNUM *BN_new(void); +void BN_clear_free(BIGNUM *a); +BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b); +void BN_swap(BIGNUM *a, BIGNUM *b); +BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret); +int BN_bn2bin(const BIGNUM *a, unsigned char *to); +BIGNUM *BN_mpi2bn(const unsigned char *s, int len, BIGNUM *ret); +int BN_bn2mpi(const BIGNUM *a, unsigned char *to); +int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); +int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); +int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); +int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); +int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); +int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx); +/** BN_set_negative sets sign of a BIGNUM + * \param b pointer to the BIGNUM object + * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise + */ +void BN_set_negative(BIGNUM *b, int n); +/** BN_is_negative returns 1 if the BIGNUM is negative + * \param a pointer to the BIGNUM object + * \return 1 if a < 0 and 0 otherwise + */ +int BN_is_negative(const BIGNUM *b); + +int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, + BN_CTX *ctx); +# define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx)) +int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx); +int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, + BN_CTX *ctx); +int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *m); +int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, + BN_CTX *ctx); +int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *m); +int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, + BN_CTX *ctx); +int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); +int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); +int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m); +int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, + BN_CTX *ctx); +int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m); + +BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w); +BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w); +int BN_mul_word(BIGNUM *a, BN_ULONG w); +int BN_add_word(BIGNUM *a, BN_ULONG w); +int BN_sub_word(BIGNUM *a, BN_ULONG w); +int BN_set_word(BIGNUM *a, BN_ULONG w); +BN_ULONG BN_get_word(const BIGNUM *a); + +int BN_cmp(const BIGNUM *a, const BIGNUM *b); +void BN_free(BIGNUM *a); +int BN_is_bit_set(const BIGNUM *a, int n); +int BN_lshift(BIGNUM *r, const BIGNUM *a, int n); +int BN_lshift1(BIGNUM *r, const BIGNUM *a); +int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); + +int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + const BIGNUM *m, BN_CTX *ctx); +int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); +int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p, + const BIGNUM *m, BN_CTX *ctx, + BN_MONT_CTX *in_mont); +int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p, + const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); +int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1, + const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m, + BN_CTX *ctx, BN_MONT_CTX *m_ctx); +int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + const BIGNUM *m, BN_CTX *ctx); + +int BN_mask_bits(BIGNUM *a, int n); +# ifndef OPENSSL_NO_STDIO +int BN_print_fp(FILE *fp, const BIGNUM *a); +# endif +# ifdef HEADER_BIO_H +int BN_print(BIO *fp, const BIGNUM *a); +# else +int BN_print(void *fp, const BIGNUM *a); +# endif +int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx); +int BN_rshift(BIGNUM *r, const BIGNUM *a, int n); +int BN_rshift1(BIGNUM *r, const BIGNUM *a); +void BN_clear(BIGNUM *a); +BIGNUM *BN_dup(const BIGNUM *a); +int BN_ucmp(const BIGNUM *a, const BIGNUM *b); +int BN_set_bit(BIGNUM *a, int n); +int BN_clear_bit(BIGNUM *a, int n); +char *BN_bn2hex(const BIGNUM *a); +char *BN_bn2dec(const BIGNUM *a); +int BN_hex2bn(BIGNUM **a, const char *str); +int BN_dec2bn(BIGNUM **a, const char *str); +int BN_asc2bn(BIGNUM **a, const char *str); +int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); +int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); /* returns + * -2 for + * error */ +BIGNUM *BN_mod_inverse(BIGNUM *ret, + const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); +BIGNUM *BN_mod_sqrt(BIGNUM *ret, + const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); + +void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords); + +/* Deprecated versions */ +# ifdef OPENSSL_USE_DEPRECATED +DECLARE_DEPRECATED(BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe, + const BIGNUM *add, + const BIGNUM *rem, + void (*callback) (int, int, + void *), + void *cb_arg)); +DECLARE_DEPRECATED(int + BN_is_prime(const BIGNUM *p, int nchecks, + void (*callback) (int, int, void *), + BN_CTX *ctx, void *cb_arg)); +DECLARE_DEPRECATED(int + BN_is_prime_fasttest(const BIGNUM *p, int nchecks, + void (*callback) (int, int, void *), + BN_CTX *ctx, void *cb_arg, + int do_trial_division)); +# endif /* defined(OPENSSL_USE_DEPRECATED) */ + +/* Newer versions */ +int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe, const BIGNUM *add, + const BIGNUM *rem, BN_GENCB *cb); +int BN_is_prime_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, BN_GENCB *cb); +int BN_is_prime_fasttest_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, + int do_trial_division, BN_GENCB *cb); + +int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx); + +int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, + const BIGNUM *Xp, const BIGNUM *Xp1, + const BIGNUM *Xp2, const BIGNUM *e, BN_CTX *ctx, + BN_GENCB *cb); +int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, BIGNUM *Xp1, + BIGNUM *Xp2, const BIGNUM *Xp, const BIGNUM *e, + BN_CTX *ctx, BN_GENCB *cb); + +BN_MONT_CTX *BN_MONT_CTX_new(void); +int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + BN_MONT_CTX *mont, BN_CTX *ctx); +int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont, + BN_CTX *ctx); +int BN_from_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont, + BN_CTX *ctx); +void BN_MONT_CTX_free(BN_MONT_CTX *mont); +int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx); +BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from); +BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock, + const BIGNUM *mod, BN_CTX *ctx); + +/* BN_BLINDING flags */ +# define BN_BLINDING_NO_UPDATE 0x00000001 +# define BN_BLINDING_NO_RECREATE 0x00000002 + +BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod); +void BN_BLINDING_free(BN_BLINDING *b); +int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx); +int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); +int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); +int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *); +int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, + BN_CTX *); +# ifdef OPENSSL_USE_DEPRECATED +DECLARE_DEPRECATED(unsigned long + BN_BLINDING_get_thread_id(const BN_BLINDING *)); +DECLARE_DEPRECATED(void + BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long)); +# endif +CRYPTO_THREADID *BN_BLINDING_thread_id(BN_BLINDING *); +unsigned long BN_BLINDING_get_flags(const BN_BLINDING *); +void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long); +BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b, + const BIGNUM *e, BIGNUM *m, BN_CTX *ctx, + int (*bn_mod_exp) (BIGNUM *r, + const BIGNUM *a, + const BIGNUM *p, + const BIGNUM *m, + BN_CTX *ctx, + BN_MONT_CTX *m_ctx), + BN_MONT_CTX *m_ctx); + +# ifdef OPENSSL_USE_DEPRECATED +DECLARE_DEPRECATED(void BN_set_params(int mul, int high, int low, int mont)); +DECLARE_DEPRECATED(int BN_get_params(int which)); /* 0, mul, 1 high, 2 low, 3 + * mont */ +# endif + +BN_RECP_CTX *BN_RECP_CTX_new(void); +void BN_RECP_CTX_free(BN_RECP_CTX *recp); +int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *rdiv, BN_CTX *ctx); +int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y, + BN_RECP_CTX *recp, BN_CTX *ctx); +int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + const BIGNUM *m, BN_CTX *ctx); +int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, + BN_RECP_CTX *recp, BN_CTX *ctx); + +# ifndef OPENSSL_NO_EC2M + +/* + * Functions for arithmetic over binary polynomials represented by BIGNUMs. + * The BIGNUM::neg property of BIGNUMs representing binary polynomials is + * ignored. Note that input arguments are not const so that their bit arrays + * can be expanded to the appropriate size if needed. + */ + +/* + * r = a + b + */ +int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); +# define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b) +/* + * r=a mod p + */ +int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); +/* r = (a * b) mod p */ +int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *p, BN_CTX *ctx); +/* r = (a * a) mod p */ +int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); +/* r = (1 / b) mod p */ +int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx); +/* r = (a / b) mod p */ +int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *p, BN_CTX *ctx); +/* r = (a ^ b) mod p */ +int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const BIGNUM *p, BN_CTX *ctx); +/* r = sqrt(a) mod p */ +int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + BN_CTX *ctx); +/* r^2 + r = a mod p */ +int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, + BN_CTX *ctx); +# define BN_GF2m_cmp(a, b) BN_ucmp((a), (b)) +/*- + * Some functions allow for representation of the irreducible polynomials + * as an unsigned int[], say p. The irreducible f(t) is then of the form: + * t^p[0] + t^p[1] + ... + t^p[k] + * where m = p[0] > p[1] > ... > p[k] = 0. + */ +/* r = a mod p */ +int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]); +/* r = (a * b) mod p */ +int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const int p[], BN_CTX *ctx); +/* r = (a * a) mod p */ +int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[], + BN_CTX *ctx); +/* r = (1 / b) mod p */ +int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[], + BN_CTX *ctx); +/* r = (a / b) mod p */ +int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const int p[], BN_CTX *ctx); +/* r = (a ^ b) mod p */ +int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + const int p[], BN_CTX *ctx); +/* r = sqrt(a) mod p */ +int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, + const int p[], BN_CTX *ctx); +/* r^2 + r = a mod p */ +int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a, + const int p[], BN_CTX *ctx); +int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max); +int BN_GF2m_arr2poly(const int p[], BIGNUM *a); + +# endif + +/* + * faster mod functions for the 'NIST primes' 0 <= a < p^2 + */ +int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); +int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); +int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); +int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); +int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); + +const BIGNUM *BN_get0_nist_prime_192(void); +const BIGNUM *BN_get0_nist_prime_224(void); +const BIGNUM *BN_get0_nist_prime_256(void); +const BIGNUM *BN_get0_nist_prime_384(void); +const BIGNUM *BN_get0_nist_prime_521(void); + +int (*BN_nist_mod_func(const BIGNUM *p)) (BIGNUM *r, const BIGNUM *a, + const BIGNUM *field, BN_CTX *ctx); + +int BN_generate_dsa_nonce(BIGNUM *out, const BIGNUM *range, + const BIGNUM *priv, const unsigned char *message, + size_t message_len, BN_CTX *ctx); + +/* Primes from RFC 2409 */ +BIGNUM *get_rfc2409_prime_768(BIGNUM *bn); +BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn); + +/* Primes from RFC 3526 */ +BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn); +BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn); +BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn); +BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn); +BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn); +BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn); + +int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom); + +/* BEGIN ERROR CODES */ +/* + * The following lines are auto generated by the script mkerr.pl. Any changes + * made after this point may be overwritten when the script is next run. + */ +void ERR_load_BN_strings(void); + +/* Error codes for the BN functions. */ + +/* Function codes. */ +# define BN_F_BNRAND 127 +# define BN_F_BN_BLINDING_CONVERT_EX 100 +# define BN_F_BN_BLINDING_CREATE_PARAM 128 +# define BN_F_BN_BLINDING_INVERT_EX 101 +# define BN_F_BN_BLINDING_NEW 102 +# define BN_F_BN_BLINDING_UPDATE 103 +# define BN_F_BN_BN2DEC 104 +# define BN_F_BN_BN2HEX 105 +# define BN_F_BN_COMPUTE_WNAF 142 +# define BN_F_BN_CTX_GET 116 +# define BN_F_BN_CTX_NEW 106 +# define BN_F_BN_CTX_START 129 +# define BN_F_BN_DIV 107 +# define BN_F_BN_DIV_NO_BRANCH 138 +# define BN_F_BN_DIV_RECP 130 +# define BN_F_BN_EXP 123 +# define BN_F_BN_EXPAND2 108 +# define BN_F_BN_EXPAND_INTERNAL 120 +# define BN_F_BN_GENCB_NEW 143 +# define BN_F_BN_GENERATE_DSA_NONCE 140 +# define BN_F_BN_GENERATE_PRIME_EX 141 +# define BN_F_BN_GF2M_MOD 131 +# define BN_F_BN_GF2M_MOD_EXP 132 +# define BN_F_BN_GF2M_MOD_MUL 133 +# define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134 +# define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135 +# define BN_F_BN_GF2M_MOD_SQR 136 +# define BN_F_BN_GF2M_MOD_SQRT 137 +# define BN_F_BN_MOD_EXP2_MONT 118 +# define BN_F_BN_MOD_EXP_MONT 109 +# define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124 +# define BN_F_BN_MOD_EXP_MONT_WORD 117 +# define BN_F_BN_MOD_EXP_RECP 125 +# define BN_F_BN_MOD_EXP_SIMPLE 126 +# define BN_F_BN_MOD_INVERSE 110 +# define BN_F_BN_MOD_INVERSE_NO_BRANCH 139 +# define BN_F_BN_MOD_LSHIFT_QUICK 119 +# define BN_F_BN_MOD_MUL_RECIPROCAL 111 +# define BN_F_BN_MOD_SQRT 121 +# define BN_F_BN_MPI2BN 112 +# define BN_F_BN_NEW 113 +# define BN_F_BN_RAND 114 +# define BN_F_BN_RAND_RANGE 122 +# define BN_F_BN_USUB 115 + +/* Reason codes. */ +# define BN_R_ARG2_LT_ARG3 100 +# define BN_R_BAD_RECIPROCAL 101 +# define BN_R_BIGNUM_TOO_LONG 114 +# define BN_R_BITS_TOO_SMALL 118 +# define BN_R_CALLED_WITH_EVEN_MODULUS 102 +# define BN_R_DIV_BY_ZERO 103 +# define BN_R_ENCODING_ERROR 104 +# define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105 +# define BN_R_INPUT_NOT_REDUCED 110 +# define BN_R_INVALID_LENGTH 106 +# define BN_R_INVALID_RANGE 115 +# define BN_R_NOT_A_SQUARE 111 +# define BN_R_NOT_INITIALIZED 107 +# define BN_R_NO_INVERSE 108 +# define BN_R_NO_SOLUTION 116 +# define BN_R_PRIVATE_KEY_TOO_LARGE 117 +# define BN_R_P_IS_NOT_PRIME 112 +# define BN_R_TOO_MANY_ITERATIONS 113 +# define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109 + +#ifdef __cplusplus +} +#endif +#endif |