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Diffstat (limited to 'include/openssl/bn.h')
| -rw-r--r-- | include/openssl/bn.h | 583 |
1 files changed, 583 insertions, 0 deletions
diff --git a/include/openssl/bn.h b/include/openssl/bn.h new file mode 100644 index 00000000..ecd7f01b --- /dev/null +++ b/include/openssl/bn.h @@ -0,0 +1,583 @@ +/* + * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved. + * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved + * + * Licensed under the Apache License 2.0 (the "License"). You may not use + * this file except in compliance with the License. You can obtain a copy + * in the file LICENSE in the source distribution or at + * https://www.openssl.org/source/license.html + */ + +#ifndef OPENSSL_BN_H +# define OPENSSL_BN_H +# pragma once + +# include <openssl/macros.h> +# ifndef OPENSSL_NO_DEPRECATED_3_0 +# define HEADER_BN_H +# endif + +# include <openssl/e_os2.h> +# ifndef OPENSSL_NO_STDIO +# include <stdio.h> +# endif +# include <openssl/opensslconf.h> +# include <openssl/types.h> +# include <openssl/crypto.h> +# include <openssl/bnerr.h> + +#ifdef __cplusplus +extern "C" { +#endif + +/* + * 64-bit processor with LP64 ABI + */ +# ifdef SIXTY_FOUR_BIT_LONG +# define BN_ULONG unsigned long +# define BN_BYTES 8 +# endif + +/* + * 64-bit processor other than LP64 ABI + */ +# ifdef SIXTY_FOUR_BIT +# define BN_ULONG unsigned long long +# define BN_BYTES 8 +# endif + +# ifdef THIRTY_TWO_BIT +# define BN_ULONG unsigned int +# define BN_BYTES 4 +# endif + +# define BN_BITS2 (BN_BYTES * 8) +# define BN_BITS (BN_BITS2 * 2) +# define BN_TBIT ((BN_ULONG)1 << (BN_BITS2 - 1)) + +# 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 +# define BN_FLG_SECURE 0x08 + +# ifndef OPENSSL_NO_DEPRECATED_0_9_8 +/* deprecated name for the flag */ +# define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME +# define BN_FLG_FREE 0x8000 /* used for debugging */ +# endif + +void BN_set_flags(BIGNUM *b, int n); +int BN_get_flags(const BIGNUM *b, int n); + +/* Values for |top| in BN_rand() */ +#define BN_RAND_TOP_ANY -1 +#define BN_RAND_TOP_ONE 0 +#define BN_RAND_TOP_TWO 1 + +/* Values for |bottom| in BN_rand() */ +#define BN_RAND_BOTTOM_ANY 0 +#define BN_RAND_BOTTOM_ODD 1 + +/* + * get a clone of a BIGNUM with changed flags, for *temporary* use only (the + * two BIGNUMs cannot be used in parallel!). Also only for *read only* use. The + * value |dest| should be a newly allocated BIGNUM obtained via BN_new() that + * has not been otherwise initialised or used. + */ +void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int flags); + +/* 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); + +# ifndef OPENSSL_NO_DEPRECATED_3_0 +# 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) +# endif + +# 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); + +# if OPENSSL_API_LEVEL > 908 +# 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_ex(OSSL_LIB_CTX *ctx); +BN_CTX *BN_CTX_new(void); +BN_CTX *BN_CTX_secure_new_ex(OSSL_LIB_CTX *ctx); +BN_CTX *BN_CTX_secure_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_ex(BIGNUM *rnd, int bits, int top, int bottom, + unsigned int strength, BN_CTX *ctx); +int BN_rand(BIGNUM *rnd, int bits, int top, int bottom); +int BN_priv_rand_ex(BIGNUM *rnd, int bits, int top, int bottom, + unsigned int strength, BN_CTX *ctx); +int BN_priv_rand(BIGNUM *rnd, int bits, int top, int bottom); +int BN_rand_range_ex(BIGNUM *r, const BIGNUM *range, unsigned int strength, + BN_CTX *ctx); +int BN_rand_range(BIGNUM *rnd, const BIGNUM *range); +int BN_priv_rand_range_ex(BIGNUM *r, const BIGNUM *range, + unsigned int strength, BN_CTX *ctx); +int BN_priv_rand_range(BIGNUM *rnd, const BIGNUM *range); +# ifndef OPENSSL_NO_DEPRECATED_3_0 +OSSL_DEPRECATEDIN_3_0 +int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom); +OSSL_DEPRECATEDIN_3_0 +int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range); +# endif +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); +BIGNUM *BN_secure_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); +int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen); +BIGNUM *BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret); +int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen); +BIGNUM *BN_native2bn(const unsigned char *s, int len, BIGNUM *ret); +int BN_bn2nativepad(const BIGNUM *a, unsigned char *to, int tolen); +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 b 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_mod_exp_mont_consttime_x2(BIGNUM *rr1, const BIGNUM *a1, const BIGNUM *p1, + const BIGNUM *m1, BN_MONT_CTX *in_mont1, + BIGNUM *rr2, const BIGNUM *a2, const BIGNUM *p2, + const BIGNUM *m2, BN_MONT_CTX *in_mont2, + 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 +int BN_print(BIO *bio, 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); +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 */ +# ifndef OPENSSL_NO_DEPRECATED_0_9_8 +OSSL_DEPRECATEDIN_0_9_8 +BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe, + const BIGNUM *add, const BIGNUM *rem, + void (*callback) (int, int, void *), + void *cb_arg); +OSSL_DEPRECATEDIN_0_9_8 +int BN_is_prime(const BIGNUM *p, int nchecks, + void (*callback) (int, int, void *), + BN_CTX *ctx, void *cb_arg); +OSSL_DEPRECATEDIN_0_9_8 +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 +# ifndef OPENSSL_NO_DEPRECATED_3_0 +OSSL_DEPRECATEDIN_3_0 +int BN_is_prime_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, BN_GENCB *cb); +OSSL_DEPRECATEDIN_3_0 +int BN_is_prime_fasttest_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, + int do_trial_division, BN_GENCB *cb); +# endif +/* Newer versions */ +int BN_generate_prime_ex2(BIGNUM *ret, int bits, int safe, + const BIGNUM *add, const BIGNUM *rem, BN_GENCB *cb, + BN_CTX *ctx); +int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe, const BIGNUM *add, + const BIGNUM *rem, BN_GENCB *cb); +int BN_check_prime(const BIGNUM *p, BN_CTX *ctx, BN_GENCB *cb); + +# ifndef OPENSSL_NO_DEPRECATED_3_0 +OSSL_DEPRECATEDIN_3_0 +int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx); + +OSSL_DEPRECATEDIN_3_0 +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); +OSSL_DEPRECATEDIN_3_0 +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); +# endif + +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, CRYPTO_RWLOCK *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 *); + +int BN_BLINDING_is_current_thread(BN_BLINDING *b); +void BN_BLINDING_set_current_thread(BN_BLINDING *b); +int BN_BLINDING_lock(BN_BLINDING *b); +int BN_BLINDING_unlock(BN_BLINDING *b); + +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_0_9_8 +OSSL_DEPRECATEDIN_0_9_8 +void BN_set_params(int mul, int high, int low, int mont); +OSSL_DEPRECATEDIN_0_9_8 +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 *BN_get_rfc2409_prime_768(BIGNUM *bn); +BIGNUM *BN_get_rfc2409_prime_1024(BIGNUM *bn); + +/* Primes from RFC 3526 */ +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); + +# ifndef OPENSSL_NO_DEPRECATED_1_1_0 +# define get_rfc2409_prime_768 BN_get_rfc2409_prime_768 +# define get_rfc2409_prime_1024 BN_get_rfc2409_prime_1024 +# define get_rfc3526_prime_1536 BN_get_rfc3526_prime_1536 +# define get_rfc3526_prime_2048 BN_get_rfc3526_prime_2048 +# define get_rfc3526_prime_3072 BN_get_rfc3526_prime_3072 +# define get_rfc3526_prime_4096 BN_get_rfc3526_prime_4096 +# define get_rfc3526_prime_6144 BN_get_rfc3526_prime_6144 +# define get_rfc3526_prime_8192 BN_get_rfc3526_prime_8192 +# endif + +int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom); + + +# ifdef __cplusplus +} +# endif +#endif |