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Diffstat (limited to 'secure/lib/libcrypto/man/BN_generate_prime.3')
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diff --git a/secure/lib/libcrypto/man/BN_generate_prime.3 b/secure/lib/libcrypto/man/BN_generate_prime.3 new file mode 100644 index 0000000..69cdf0d --- /dev/null +++ b/secure/lib/libcrypto/man/BN_generate_prime.3 @@ -0,0 +1,273 @@ +.\" Automatically generated by Pod::Man 2.28 (Pod::Simple 3.30) +.\" +.\" Standard preamble: +.\" ======================================================================== +.de Sp \" Vertical space (when we can't use .PP) +.if t .sp .5v +.if n .sp +.. +.de Vb \" Begin verbatim text +.ft CW +.nf +.ne \\$1 +.. +.de Ve \" End verbatim text +.ft R +.fi +.. +.\" Set up some character translations and predefined strings. \*(-- will +.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left +.\" double quote, and \*(R" will give a right double quote. \*(C+ will +.\" give a nicer C++. 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Always turn off hyphenation; it makes +.\" way too many mistakes in technical documents. +.if n .ad l +.nh +.SH "NAME" +BN_generate_prime_ex, BN_is_prime_ex, BN_is_prime_fasttest_ex, BN_GENCB_call, +BN_GENCB_set_old, BN_GENCB_set, BN_generate_prime, BN_is_prime, +BN_is_prime_fasttest \- generate primes and test for primality +.SH "SYNOPSIS" +.IX Header "SYNOPSIS" +.Vb 1 +\& #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); +\& +\& #define BN_GENCB_set_old(gencb, callback, cb_arg) ... +\& +\& #define BN_GENCB_set(gencb, callback, cb_arg) ... +.Ve +.PP +Deprecated: +.PP +.Vb 2 +\& 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); +.Ve +.SH "DESCRIPTION" +.IX Header "DESCRIPTION" +\&\fIBN_generate_prime_ex()\fR generates a pseudo-random prime number of +bit length \fBbits\fR. +If \fBret\fR is not \fB\s-1NULL\s0\fR, it will be used to store the number. +.PP +If \fBcb\fR is not \fB\s-1NULL\s0\fR, it is used as follows: +.IP "\(bu" 4 +\&\fBBN_GENCB_call(cb, 0, i)\fR is called after generating the i\-th +potential prime number. +.IP "\(bu" 4 +While the number is being tested for primality, +\&\fBBN_GENCB_call(cb, 1, j)\fR is called as described below. +.IP "\(bu" 4 +When a prime has been found, \fBBN_GENCB_call(cb, 2, i)\fR is called. +.PP +The prime may have to fulfill additional requirements for use in +Diffie-Hellman key exchange: +.PP +If \fBadd\fR is not \fB\s-1NULL\s0\fR, the prime will fulfill the condition p % \fBadd\fR +== \fBrem\fR (p % \fBadd\fR == 1 if \fBrem\fR == \fB\s-1NULL\s0\fR) in order to suit a given +generator. +.PP +If \fBsafe\fR is true, it will be a safe prime (i.e. a prime p so +that (p\-1)/2 is also prime). +.PP +The \s-1PRNG\s0 must be seeded prior to calling \fIBN_generate_prime_ex()\fR. +The prime number generation has a negligible error probability. +.PP +\&\fIBN_is_prime_ex()\fR and \fIBN_is_prime_fasttest_ex()\fR test if the number \fBp\fR is +prime. The following tests are performed until one of them shows that +\&\fBp\fR is composite; if \fBp\fR passes all these tests, it is considered +prime. +.PP +\&\fIBN_is_prime_fasttest_ex()\fR, when called with \fBdo_trial_division == 1\fR, +first attempts trial division by a number of small primes; +if no divisors are found by this test and \fBcb\fR is not \fB\s-1NULL\s0\fR, +\&\fBBN_GENCB_call(cb, 1, \-1)\fR is called. +If \fBdo_trial_division == 0\fR, this test is skipped. +.PP +Both \fIBN_is_prime_ex()\fR and \fIBN_is_prime_fasttest_ex()\fR perform a Miller-Rabin +probabilistic primality test with \fBnchecks\fR iterations. If +\&\fBnchecks == BN_prime_checks\fR, a number of iterations is used that +yields a false positive rate of at most 2^\-80 for random input. +.PP +If \fBcb\fR is not \fB\s-1NULL\s0\fR, \fBBN_GENCB_call(cb, 1, j)\fR is called +after the j\-th iteration (j = 0, 1, ...). \fBctx\fR is a +pre-allocated \fB\s-1BN_CTX\s0\fR (to save the overhead of allocating and +freeing the structure in a loop), or \fB\s-1NULL\s0\fR. +.PP +BN_GENCB_call calls the callback function held in the \fB\s-1BN_GENCB\s0\fR structure +and passes the ints \fBa\fR and \fBb\fR as arguments. There are two types of +\&\fB\s-1BN_GENCB\s0\fR structure that are supported: \*(L"new\*(R" style and \*(L"old\*(R" style. New +programs should prefer the \*(L"new\*(R" style, whilst the \*(L"old\*(R" style is provided +for backwards compatibility purposes. +.PP +For \*(L"new\*(R" style callbacks a \s-1BN_GENCB\s0 structure should be initialised with a +call to BN_GENCB_set, where \fBgencb\fR is a \fB\s-1BN_GENCB\s0 *\fR, \fBcallback\fR is of +type \fBint (*callback)(int, int, \s-1BN_GENCB\s0 *)\fR and \fBcb_arg\fR is a \fBvoid *\fR. +\&\*(L"Old\*(R" style callbacks are the same except they are initialised with a call +to BN_GENCB_set_old and \fBcallback\fR is of type +\&\fBvoid (*callback)(int, int, void *)\fR. +.PP +A callback is invoked through a call to \fBBN_GENCB_call\fR. This will check +the type of the callback and will invoke \fBcallback(a, b, gencb)\fR for new +style callbacks or \fBcallback(a, b, cb_arg)\fR for old style. +.PP +BN_generate_prime (deprecated) works in the same way as +BN_generate_prime_ex but expects an old style callback function +directly in the \fBcallback\fR parameter, and an argument to pass to it in +the \fBcb_arg\fR. 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. +.SH "RETURN VALUES" +.IX Header "RETURN VALUES" +\&\fIBN_generate_prime_ex()\fR return 1 on success or 0 on error. +.PP +\&\fIBN_is_prime_ex()\fR, \fIBN_is_prime_fasttest_ex()\fR, \fIBN_is_prime()\fR and +\&\fIBN_is_prime_fasttest()\fR return 0 if the number is composite, 1 if it is +prime with an error probability of less than 0.25^\fBnchecks\fR, and +\&\-1 on error. +.PP +\&\fIBN_generate_prime()\fR returns the prime number on success, \fB\s-1NULL\s0\fR otherwise. +.PP +Callback functions should return 1 on success or 0 on error. +.PP +The error codes can be obtained by \fIERR_get_error\fR\|(3). +.SH "SEE ALSO" +.IX Header "SEE ALSO" +\&\fIbn\fR\|(3), \fIERR_get_error\fR\|(3), \fIrand\fR\|(3) +.SH "HISTORY" +.IX Header "HISTORY" +The \fBcb_arg\fR arguments to \fIBN_generate_prime()\fR and to \fIBN_is_prime()\fR +were added in SSLeay 0.9.0. The \fBret\fR argument to \fIBN_generate_prime()\fR +was added in SSLeay 0.9.1. +\&\fIBN_is_prime_fasttest()\fR was added in OpenSSL 0.9.5. |
