diff options
Diffstat (limited to 'include/openssl/bn.h')
| -rw-r--r-- | include/openssl/bn.h | 539 |
1 files changed, 539 insertions, 0 deletions
diff --git a/include/openssl/bn.h b/include/openssl/bn.h new file mode 100644 index 0000000000..ed7fe589cd --- /dev/null +++ b/include/openssl/bn.h @@ -0,0 +1,539 @@ +/*
+ * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
+ *
+ * Licensed under the OpenSSL license (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 HEADER_BN_H
+# define HEADER_BN_H
+
+# include <openssl/e_os2.h>
+# ifndef OPENSSL_NO_STDIO
+# include <stdio.h>
+# endif
+# include <openssl/opensslconf.h>
+# include <openssl/ossl_typ.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
+
+# if OPENSSL_API_COMPAT < 0x00908000L
+/* 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);
+
+# 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)
+
+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_COMPAT >= 0x00908000L
+# 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);
+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(BIGNUM *rnd, int bits, int top, int bottom);
+int BN_priv_rand(BIGNUM *rnd, int bits, int top, int bottom);
+int BN_rand_range(BIGNUM *rnd, const BIGNUM *range);
+int BN_priv_rand_range(BIGNUM *rnd, const BIGNUM *range);
+int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom);
+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);
+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_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_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 */
+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))
+DEPRECATEDIN_0_9_8(int
+ BN_is_prime(const BIGNUM *p, int nchecks,
+ void (*callback) (int, int, void *),
+ BN_CTX *ctx, void *cb_arg))
+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))
+
+/* 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, 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);
+
+DEPRECATEDIN_0_9_8(void BN_set_params(int mul, int high, int low, int mont))
+DEPRECATEDIN_0_9_8(int BN_get_params(int which)) /* 0, mul, 1 high, 2 low, 3
+ * mont */
+
+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);
+
+# if OPENSSL_API_COMPAT < 0x10100000L
+# 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
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