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Diffstat (limited to 'libressl/libressl/include/openssl/bn.h')
| -rw-r--r-- | libressl/libressl/include/openssl/bn.h | 782 |
1 files changed, 782 insertions, 0 deletions
diff --git a/libressl/libressl/include/openssl/bn.h b/libressl/libressl/include/openssl/bn.h new file mode 100644 index 0000000..cc1f467 --- /dev/null +++ b/libressl/libressl/include/openssl/bn.h @@ -0,0 +1,782 @@ +/* $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 |