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Diffstat (limited to 'libressl/include/openssl/bn.h')
| -rw-r--r-- | libressl/include/openssl/bn.h | 782 |
1 files changed, 0 insertions, 782 deletions
diff --git a/libressl/include/openssl/bn.h b/libressl/include/openssl/bn.h deleted file mode 100644 index cc1f4675..00000000 --- a/libressl/include/openssl/bn.h +++ /dev/null @@ -1,782 +0,0 @@ -/* $OpenBSD: bn.h,v 1.39 2019/08/25 19:23:59 schwarze Exp $ */ -/* 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 <stdio.h> -#include <stdlib.h> - -#include <openssl/opensslconf.h> - -#include <openssl/ossl_typ.h> -#include <openssl/crypto.h> -#include <openssl/bio.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. */ -/* #define BN_DIV2W */ - -#ifdef _LP64 -#undef BN_LLONG -#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_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" -#else -#define BN_ULLONG unsigned long long -#define BN_LLONG -#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_MASK (0xffffffffffffffffLL) -#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_FLG_MALLOCED 0x01 -#define BN_FLG_STATIC_DATA 0x02 -#define BN_FLG_CONSTTIME 0x04 /* 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. - */ - -#ifndef OPENSSL_NO_DEPRECATED -#define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME /* deprecated name for the flag */ - /* avoid leaking exponent information through timings - * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) */ -#endif - -#ifndef OPENSSL_NO_DEPRECATED -#define BN_FLG_FREE 0x8000 /* used for debuging */ -#endif -#define BN_set_flags(b,n) ((b)->flags|=(n)) -#define BN_get_flags(b,n) ((b)->flags&(n)) - -/* get a clone of a BIGNUM with changed flags, for *temporary* use only - * (the two BIGNUMs cannot not be used in parallel!) */ -#define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \ - (dest)->top=(b)->top, \ - (dest)->dmax=(b)->dmax, \ - (dest)->neg=(b)->neg, \ - (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \ - | ((b)->flags & ~BN_FLG_MALLOCED) \ - | BN_FLG_STATIC_DATA \ - | (n))) - -struct bignum_st { - BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */ - int top; /* Index of last used d +1. */ - /* The next are internal book keeping for bn_expand. */ - int dmax; /* Size of the d array. */ - int neg; /* one if the number is negative */ - int flags; -}; - -/* Used for montgomery multiplication */ -struct bn_mont_ctx_st { - int ri; /* number of bits in R */ - BIGNUM RR; /* used to convert to montgomery form */ - BIGNUM N; /* The modulus */ - BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 - * (Ni is only stored for bignum algorithm) */ - BN_ULONG n0[2];/* least significant word(s) of Ni; - (type changed with 0.9.9, was "BN_ULONG n0;" before) */ - int flags; -}; - -/* Used for reciprocal division/mod functions - * It cannot be shared between threads - */ -struct bn_recp_ctx_st { - BIGNUM N; /* the divisor */ - BIGNUM Nr; /* the reciprocal */ - int num_bits; - int shift; - int flags; -}; - -/* Used for slow "generation" functions. */ -struct bn_gencb_st { - unsigned int ver; /* To handle binary (in)compatibility */ - void *arg; /* callback-specific data */ - union { - /* if(ver==1) - handles old style callbacks */ - void (*cb_1)(int, int, void *); - /* if(ver==2) - new callback style */ - int (*cb_2)(int, int, BN_GENCB *); - } cb; -}; - -BN_GENCB *BN_GENCB_new(void); -void BN_GENCB_free(BN_GENCB *cb); -void *BN_GENCB_get_arg(BN_GENCB *cb); - -/* Wrapper function to make using BN_GENCB easier, */ -int BN_GENCB_call(BN_GENCB *cb, int a, int b); -/* Macro to populate a BN_GENCB structure with an "old"-style callback */ -#define BN_GENCB_set_old(gencb, callback, cb_arg) { \ - BN_GENCB *tmp_gencb = (gencb); \ - tmp_gencb->ver = 1; \ - tmp_gencb->arg = (cb_arg); \ - tmp_gencb->cb.cb_1 = (callback); } -/* Macro to populate a BN_GENCB structure with a "new"-style callback */ -#define BN_GENCB_set(gencb, callback, cb_arg) { \ - BN_GENCB *tmp_gencb = (gencb); \ - tmp_gencb->ver = 2; \ - tmp_gencb->arg = (cb_arg); \ - tmp_gencb->cb.cb_2 = (callback); } - -#define BN_prime_checks 0 /* default: select number of iterations - based on the size of the number */ - -/* - * BN_prime_checks_for_size() returns the number of Miller-Rabin - * iterations that will be done for checking that a random number - * is probably prime. The error rate for accepting a composite - * number as prime depends on the size of the prime |b|. The error - * rates used are for calculating an RSA key with 2 primes, and so - * the level is what you would expect for a key of double the size - * of the prime. - * - * This table is generated using the algorithm of FIPS PUB 186-4 - * Digital Signature Standard (DSS), section F.1, page 117. - * (https://dx.doi.org/10.6028/NIST.FIPS.186-4) - * - * The following magma script was used to generate the output: - * securitybits:=125; - * k:=1024; - * for t:=1 to 65 do - * for M:=3 to Floor(2*Sqrt(k-1)-1) do - * S:=0; - * // Sum over m - * for m:=3 to M do - * s:=0; - * // Sum over j - * for j:=2 to m do - * s+:=(RealField(32)!2)^-(j+(k-1)/j); - * end for; - * S+:=2^(m-(m-1)*t)*s; - * end for; - * A:=2^(k-2-M*t); - * B:=8*(Pi(RealField(32))^2-6)/3*2^(k-2)*S; - * pkt:=2.00743*Log(2)*k*2^-k*(A+B); - * seclevel:=Floor(-Log(2,pkt)); - * if seclevel ge securitybits then - * printf "k: %5o, security: %o bits (t: %o, M: %o)\n",k,seclevel,t,M; - * break; - * end if; - * end for; - * if seclevel ge securitybits then break; end if; - * end for; - * - * It can be run online at: - * http://magma.maths.usyd.edu.au/calc - * - * And will output: - * k: 1024, security: 129 bits (t: 6, M: 23) - * - * k is the number of bits of the prime, securitybits is the level - * we want to reach. - * - * prime length | RSA key size | # MR tests | security level - * -------------+--------------|------------+--------------- - * (b) >= 6394 | >= 12788 | 3 | 256 bit - * (b) >= 3747 | >= 7494 | 3 | 192 bit - * (b) >= 1345 | >= 2690 | 4 | 128 bit - * (b) >= 1080 | >= 2160 | 5 | 128 bit - * (b) >= 852 | >= 1704 | 5 | 112 bit - * (b) >= 476 | >= 952 | 5 | 80 bit - * (b) >= 400 | >= 800 | 6 | 80 bit - * (b) >= 347 | >= 694 | 7 | 80 bit - * (b) >= 308 | >= 616 | 8 | 80 bit - * (b) >= 55 | >= 110 | 27 | 64 bit - * (b) >= 6 | >= 12 | 34 | 64 bit - */ - -#define BN_prime_checks_for_size(b) ((b) >= 3747 ? 3 : \ - (b) >= 1345 ? 4 : \ - (b) >= 476 ? 5 : \ - (b) >= 400 ? 6 : \ - (b) >= 347 ? 7 : \ - (b) >= 308 ? 8 : \ - (b) >= 55 ? 27 : \ - /* b >= 6 */ 34) - -#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) - -/* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */ -#define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \ - (((w) == 0) && ((a)->top == 0))) -#define BN_is_zero(a) ((a)->top == 0) -#define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg) -#define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg)) -#define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1)) - -#define BN_one(a) (BN_set_word((a),1)) -#define BN_zero_ex(a) \ - do { \ - BIGNUM *_tmp_bn = (a); \ - _tmp_bn->top = 0; \ - _tmp_bn->neg = 0; \ - } while(0) - -#ifdef OPENSSL_NO_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); -#ifndef OPENSSL_NO_DEPRECATED -void BN_CTX_init(BN_CTX *c); -#endif -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); -BIGNUM *BN_new(void); -void BN_init(BIGNUM *); -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 - */ -#define BN_is_negative(a) ((a)->neg != 0) - -#ifndef LIBRESSL_INTERNAL -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)) -#endif -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); - -#ifndef LIBRESSL_INTERNAL -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); -#endif -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); -int BN_print_fp(FILE *fp, const BIGNUM *a); -int BN_print(BIO *fp, const BIGNUM *a); -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); -#ifndef LIBRESSL_INTERNAL -int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); -#endif -int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */ -#ifndef LIBRESSL_INTERNAL -BIGNUM *BN_mod_inverse(BIGNUM *ret, - const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); -#endif -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 */ -#ifndef OPENSSL_NO_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); -int BN_is_prime(const BIGNUM *p, int nchecks, - void (*callback)(int, int, void *), - BN_CTX *ctx, void *cb_arg); -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_NO_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 ); -void BN_MONT_CTX_init(BN_MONT_CTX *ctx); -int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, - BN_MONT_CTX *mont, BN_CTX *ctx); -#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\ - (r),(a),&((mont)->RR),(mont),(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 *); -#ifndef OPENSSL_NO_DEPRECATED -unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *); -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); - -#ifndef OPENSSL_NO_DEPRECATED -void BN_set_params(int mul, int high, int low, int mont); -int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */ -#endif - -void BN_RECP_CTX_init(BN_RECP_CTX *recp); -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. - */ - -int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/ -#define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b) -int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/ -int -BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, - const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */ -int -BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, - BN_CTX *ctx); /* r = (a * a) mod p */ -int -BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, - BN_CTX *ctx); /* r = (1 / 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 = (a ^ b) mod p */ -int -BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, - BN_CTX *ctx); /* r = sqrt(a) mod p */ -int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, - BN_CTX *ctx); /* r^2 + r = a mod p */ -#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. - */ -int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]); -/* r = a mod p */ -int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, - const int p[], BN_CTX *ctx); /* r = (a * b) mod p */ -int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[], - BN_CTX *ctx); /* r = (a * a) mod p */ -int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[], - BN_CTX *ctx); /* r = (1 / 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 = (a ^ b) mod p */ -int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, - const int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */ -int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a, - const int p[], BN_CTX *ctx); /* r^2 + r = a mod p */ -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); - -/* Primes from RFC 2409 */ -BIGNUM *get_rfc2409_prime_768(BIGNUM *bn); -BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn); -BIGNUM *BN_get_rfc2409_prime_768(BIGNUM *bn); -BIGNUM *BN_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); -BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn); -BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn); -BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn); -BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn); -BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn); -BIGNUM *BN_get_rfc3526_prime_8192(BIGNUM *bn); - -/* 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_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_GENERATE_PRIME_EX 140 -#define BN_F_BN_EXPAND_INTERNAL 120 -#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 117 -#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_P_IS_NOT_PRIME 112 -#define BN_R_TOO_MANY_ITERATIONS 113 -#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109 - -#ifdef __cplusplus -} -#endif -#endif |