+++ /dev/null
-=pod
-
-=head1 NAME
-
-bn - multiprecision integer arithmetics
-
-=head1 SYNOPSIS
-
- #include <openssl/bn.h>
-
- BIGNUM *BN_new(void);
- void BN_free(BIGNUM *a);
- void BN_clear(BIGNUM *a);
- void BN_clear_free(BIGNUM *a);
-
- BN_CTX *BN_CTX_new(void);
- BN_CTX *BN_CTX_secure_new(void);
- void BN_CTX_free(BN_CTX *c);
-
- BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
- BIGNUM *BN_dup(const BIGNUM *a);
-
- BIGNUM *BN_swap(BIGNUM *a, BIGNUM *b);
-
- int BN_num_bytes(const BIGNUM *a);
- int BN_num_bits(const BIGNUM *a);
- int BN_num_bits_word(BN_ULONG w);
-
- void BN_set_negative(BIGNUM *a, int n);
- int BN_is_negative(const BIGNUM *a);
-
- int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
- int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
- int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
- int BN_sqr(BIGNUM *r, BIGNUM *a, BN_CTX *ctx);
- int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *a, const BIGNUM *d,
- BN_CTX *ctx);
- int BN_mod(BIGNUM *rem, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
- int BN_nnmod(BIGNUM *rem, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
- int BN_mod_add(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m,
- BN_CTX *ctx);
- int BN_mod_sub(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m,
- BN_CTX *ctx);
- int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m,
- BN_CTX *ctx);
- int BN_mod_sqr(BIGNUM *ret, BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
- int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BN_CTX *ctx);
- int BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
- const BIGNUM *m, BN_CTX *ctx);
- int BN_gcd(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
-
- int BN_add_word(BIGNUM *a, BN_ULONG w);
- int BN_sub_word(BIGNUM *a, BN_ULONG w);
- int BN_mul_word(BIGNUM *a, BN_ULONG w);
- BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
- BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
-
- int BN_cmp(BIGNUM *a, BIGNUM *b);
- int BN_ucmp(BIGNUM *a, BIGNUM *b);
- int BN_is_zero(BIGNUM *a);
- int BN_is_one(BIGNUM *a);
- int BN_is_word(BIGNUM *a, BN_ULONG w);
- int BN_is_odd(BIGNUM *a);
-
- int BN_zero(BIGNUM *a);
- int BN_one(BIGNUM *a);
- const BIGNUM *BN_value_one(void);
- int BN_set_word(BIGNUM *a, unsigned long w);
- unsigned long BN_get_word(BIGNUM *a);
-
- 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, BIGNUM *range);
- int BN_pseudo_rand_range(BIGNUM *rnd, BIGNUM *range);
-
- 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_GENCB_call(BN_GENCB *cb, int a, int b);
- BN_GENCB *BN_GENCB_new(void);
- void BN_GENCB_free(BN_GENCB *cb);
- void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback)(int, int, void *), void *cb_arg);
- void BN_GENCB_set(BN_GENCB *gencb, int (*callback)(int, int, BN_GENCB *), void *cb_arg);
- void *BN_GENCB_get_arg(BN_GENCB *cb);
-
- int BN_set_bit(BIGNUM *a, int n);
- int BN_clear_bit(BIGNUM *a, int n);
- int BN_is_bit_set(const BIGNUM *a, int n);
- int BN_mask_bits(BIGNUM *a, int n);
- int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
- int BN_lshift1(BIGNUM *r, BIGNUM *a);
- int BN_rshift(BIGNUM *r, BIGNUM *a, int n);
- int BN_rshift1(BIGNUM *r, BIGNUM *a);
-
- int BN_bn2bin(const BIGNUM *a, unsigned char *to);
- BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret);
- 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_print(BIO *fp, const BIGNUM *a);
- int BN_print_fp(FILE *fp, const BIGNUM *a);
- int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
- BIGNUM *BN_mpi2bn(unsigned char *s, int len, BIGNUM *ret);
-
- BIGNUM *BN_mod_inverse(BIGNUM *r, BIGNUM *a, const BIGNUM *n,
- BN_CTX *ctx);
-
- 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 *m, BN_CTX *ctx);
- int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *a, BIGNUM *b,
- BN_RECP_CTX *recp, BN_CTX *ctx);
-
- BN_MONT_CTX *BN_MONT_CTX_new(void);
- void BN_MONT_CTX_free(BN_MONT_CTX *mont);
- int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *m, BN_CTX *ctx);
- BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from);
- int BN_mod_mul_montgomery(BIGNUM *r, BIGNUM *a, BIGNUM *b,
- BN_MONT_CTX *mont, BN_CTX *ctx);
- int BN_from_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont,
- BN_CTX *ctx);
- int BN_to_montgomery(BIGNUM *r, BIGNUM *a, BN_MONT_CTX *mont,
- BN_CTX *ctx);
-
- 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 *ctx);
- int BN_BLINDING_invert_ex(BIGNUM *n,const BIGNUM *r,BN_BLINDING *b,
- BN_CTX *ctx);
- unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *);
- void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long);
- 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);
-
-=head1 DESCRIPTION
-
-This library performs arithmetic operations on integers of arbitrary
-size. It was written for use in public key cryptography, such as RSA
-and Diffie-Hellman.
-
-It uses dynamic memory allocation for storing its data structures.
-That means that there is no limit on the size of the numbers
-manipulated by these functions, but return values must always be
-checked in case a memory allocation error has occurred.
-
-The basic object in this library is a B<BIGNUM>. It is used to hold a
-single large integer. This type should be considered opaque and fields
-should not be modified or accessed directly.
-
-The creation of B<BIGNUM> objects is described in L<BN_new(3)>;
-L<BN_add(3)> describes most of the arithmetic operations.
-Comparison is described in L<BN_cmp(3)>; L<BN_zero(3)>
-describes certain assignments, L<BN_rand(3)> the generation of
-random numbers, L<BN_generate_prime(3)> deals with prime
-numbers and L<BN_set_bit(3)> with bit operations. The conversion
-of B<BIGNUM>s to external formats is described in L<BN_bn2bin(3)>.
-
-=head1 SEE ALSO
-
-L<bn_internal(3)>,
-L<dh(3)>, L<err(3)>, L<rand(3)>, L<rsa(3)>,
-L<BN_new(3)>, L<BN_CTX_new(3)>,
-L<BN_copy(3)>, L<BN_swap(3)>, L<BN_num_bytes(3)>,
-L<BN_add(3)>, L<BN_add_word(3)>,
-L<BN_cmp(3)>, L<BN_zero(3)>, L<BN_rand(3)>,
-L<BN_generate_prime(3)>, L<BN_set_bit(3)>,
-L<BN_bn2bin(3)>, L<BN_mod_inverse(3)>,
-L<BN_mod_mul_reciprocal(3)>,
-L<BN_mod_mul_montgomery(3)>,
-L<BN_BLINDING_new(3)>
-
-=head1 COPYRIGHT
-
-Copyright 2000-2016 The OpenSSL Project Authors. 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
-L<https://www.openssl.org/source/license.html>.
-
-=cut
projects / openssl.git / blobdiff