BN_GENCB_new (3)

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NAME

BN_generate_prime_ex, BN_is_prime_ex, BN_is_prime_fasttest_ex, BN_GENCB_call, BN_GENCB_new, BN_GENCB_free, BN_GENCB_set_old, BN_GENCB_set, BN_GENCB_get_arg, BN_generate_prime, BN_is_prime, BN_is_prime_fasttest - generate primes and test for primality

SYNOPSIS

 #include <openssl/bn.h>

 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);

Deprecated:

 #if OPENSSL_API_COMPAT < 0x00908000L
 BIGNUM *BN_generate_prime(BIGNUM *ret, int num, int safe, BIGNUM *add,
     BIGNUM *rem, void (*callback)(int, int, void *), void *cb_arg);

 int BN_is_prime(const BIGNUM *a, int checks, void (*callback)(int, int,
     void *), BN_CTX *ctx, void *cb_arg);

 int BN_is_prime_fasttest(const BIGNUM *a, int checks,
     void (*callback)(int, int, void *), BN_CTX *ctx, void *cb_arg,
     int do_trial_division);
 #endif

DESCRIPTION

BN_generate_prime_ex() generates a pseudo-random prime number of at least bit length bits. If ret is not , it will be used to store the number.

If cb is not

, it is used as follows:

*

BN_GENCB_call(cb, 0, i) is called after generating the i-th potential prime number.

*

While the number is being tested for primality, BN_GENCB_call(cb, 1, j) is called as described below.

*

When a prime has been found, BN_GENCB_call(cb, 2, i) is called.

The prime may have to fulfill additional requirements for use in Diffie-Hellman key exchange:

If add is not

, the prime will fulfill the condition p % add == rem (p % add == 1 if rem == ) in order to suit a given generator.

If safe is true, it will be a safe prime (i.e. a prime p so that (p-1)/2 is also prime).

The

must be seeded prior to calling BN_generate_prime_ex(). The prime number generation has a negligible error probability.

BN_is_prime_ex() and BN_is_prime_fasttest_ex() test if the number p is prime. The following tests are performed until one of them shows that p is composite; if p passes all these tests, it is considered prime.

BN_is_prime_fasttest_ex(), when called with do_trial_division == 1, first attempts trial division by a number of small primes; if no divisors are found by this test and cb is not

, BN_GENCB_call(cb, 1, -1) is called. If do_trial_division == 0, this test is skipped.

Both BN_is_prime_ex() and BN_is_prime_fasttest_ex() perform a Miller-Rabin probabilistic primality test with nchecks iterations. If nchecks == BN_prime_checks, a number of iterations is used that yields a false positive rate of at most 2^-80 for random input.

If cb is not

, BN_GENCB_call(cb, 1, j) is called after the j-th iteration (j = 0, 1, ...). ctx is a pre-allocated (to save the overhead of allocating and freeing the structure in a loop), or .

BN_GENCB_call calls the callback function held in the

structure and passes the ints a and b as arguments. There are two types of structure that are supported: ``new'' style and ``old'' style. New programs should prefer the ``new'' style, whilst the ``old'' style is provided for backwards compatibility purposes.

A

structure should be created through a call to BN_GENCB_new(), and freed through a call to BN_GENCB_free().

For ``new'' style callbacks a

structure should be initialised with a call to BN_GENCB_set(), where gencb is a *, callback is of type int (*callback)(int, int, *) and cb_arg is a void *. ``Old'' style callbacks are the same except they are initialised with a call to BN_GENCB_set_old() and callback is of type void (*callback)(int, int, void *).

A callback is invoked through a call to BN_GENCB_call. This will check the type of the callback and will invoke callback(a, b, gencb) for new style callbacks or callback(a, b, cb_arg) for old style.

It is possible to obtained the argument associated with a

structure (set via a call to BN_GENCB_set or BN_GENCB_set_old) using BN_GENCB_get_arg.

BN_generate_prime (deprecated) works in the same way as BN_generate_prime_ex but expects an old style callback function directly in the callback parameter, and an argument to pass to it in the cb_arg. Similarly BN_is_prime and BN_is_prime_fasttest are deprecated and can be compared to BN_is_prime_ex and BN_is_prime_fasttest_ex respectively.

RETURN VALUES

BN_generate_prime_ex() return 1 on success or 0 on error.

BN_is_prime_ex(), BN_is_prime_fasttest_ex(), BN_is_prime() and BN_is_prime_fasttest() return 0 if the number is composite, 1 if it is prime with an error probability of less than 0.25^nchecks, and -1 on error.

BN_generate_prime() returns the prime number on success,

otherwise.

BN_GENCB_new returns a pointer to a

structure on success, or otherwise.

BN_GENCB_get_arg returns the argument previously associated with a

structure.

Callback functions should return 1 on success or 0 on error.

The error codes can be obtained by ERR_get_error(3).

REMOVED FUNCTIONALITY

As of OpenSSL 1.1.0 it is no longer possible to create a structure directly, as in:

 BN_GENCB callback;

Instead applications should create a

structure using BN_GENCB_new:

 BN_GENCB *callback;
 callback = BN_GENCB_new();
 if(!callback) /* handle error */
 ...
 BN_GENCB_free(callback);

SEE ALSO

ERR_get_error(3), RAND_bytes(3)

HISTORY

BN_GENCB_new(), BN_GENCB_free(), and BN_GENCB_get_arg() were added in OpenSSL 1.1.0

COPYRIGHT

Copyright 2000-2017 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

in the source distribution or at <www.openssl.org/source/license.html>.