diff options
Diffstat (limited to 'src/lib/libcrypto/man')
| -rw-r--r-- | src/lib/libcrypto/man/BN_generate_prime.3 | 426 |
1 files changed, 216 insertions, 210 deletions
diff --git a/src/lib/libcrypto/man/BN_generate_prime.3 b/src/lib/libcrypto/man/BN_generate_prime.3 index 764ea6f873..df28d3775c 100644 --- a/src/lib/libcrypto/man/BN_generate_prime.3 +++ b/src/lib/libcrypto/man/BN_generate_prime.3 | |||
| @@ -1,7 +1,24 @@ | |||
| 1 | .\" $OpenBSD: BN_generate_prime.3,v 1.19 2020/06/24 18:15:00 jmc Exp $ | 1 | .\" $OpenBSD: BN_generate_prime.3,v 1.20 2022/11/24 19:06:38 schwarze Exp $ |
| 2 | .\" full merge up to: OpenSSL f987a4dd Jun 27 10:12:08 2019 +0200 | 2 | .\" full merge up to: OpenSSL f987a4dd Jun 27 10:12:08 2019 +0200 |
| 3 | .\" | 3 | .\" |
| 4 | .\" This file was written by Ulf Moeller <ulf@openssl.org> | 4 | .\" This file is a derived work. |
| 5 | .\" The changes are covered by the following Copyright and license: | ||
| 6 | .\" | ||
| 7 | .\" Copyright (c) 2022 Ingo Schwarze <schwarze@openbsd.org> | ||
| 8 | .\" | ||
| 9 | .\" Permission to use, copy, modify, and distribute this software for any | ||
| 10 | .\" purpose with or without fee is hereby granted, provided that the above | ||
| 11 | .\" copyright notice and this permission notice appear in all copies. | ||
| 12 | .\" | ||
| 13 | .\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES | ||
| 14 | .\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF | ||
| 15 | .\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR | ||
| 16 | .\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES | ||
| 17 | .\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN | ||
| 18 | .\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF | ||
| 19 | .\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. | ||
| 20 | .\" | ||
| 21 | .\" The original file was written by Ulf Moeller <ulf@openssl.org> | ||
| 5 | .\" Bodo Moeller <bodo@openssl.org>, and Matt Caswell <matt@openssl.org>. | 22 | .\" Bodo Moeller <bodo@openssl.org>, and Matt Caswell <matt@openssl.org>. |
| 6 | .\" Copyright (c) 2000, 2003, 2013, 2014, 2018 The OpenSSL Project. | 23 | .\" Copyright (c) 2000, 2003, 2013, 2014, 2018 The OpenSSL Project. |
| 7 | .\" All rights reserved. | 24 | .\" All rights reserved. |
| @@ -50,54 +67,56 @@ | |||
| 50 | .\" ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | 67 | .\" ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED |
| 51 | .\" OF THE POSSIBILITY OF SUCH DAMAGE. | 68 | .\" OF THE POSSIBILITY OF SUCH DAMAGE. |
| 52 | .\" | 69 | .\" |
| 53 | .Dd $Mdocdate: June 24 2020 $ | 70 | .Dd $Mdocdate: November 24 2022 $ |
| 54 | .Dt BN_GENERATE_PRIME 3 | 71 | .Dt BN_GENERATE_PRIME 3 |
| 55 | .Os | 72 | .Os |
| 56 | .Sh NAME | 73 | .Sh NAME |
| 57 | .Nm BN_generate_prime_ex , | ||
| 58 | .Nm BN_is_prime_ex , | 74 | .Nm BN_is_prime_ex , |
| 59 | .Nm BN_is_prime_fasttest_ex , | 75 | .Nm BN_is_prime_fasttest_ex , |
| 76 | .Nm BN_generate_prime_ex , | ||
| 60 | .Nm BN_GENCB_call , | 77 | .Nm BN_GENCB_call , |
| 61 | .Nm BN_GENCB_new , | 78 | .Nm BN_GENCB_new , |
| 62 | .Nm BN_GENCB_free , | 79 | .Nm BN_GENCB_free , |
| 63 | .Nm BN_GENCB_set_old , | ||
| 64 | .Nm BN_GENCB_set , | 80 | .Nm BN_GENCB_set , |
| 65 | .Nm BN_GENCB_get_arg , | 81 | .Nm BN_GENCB_get_arg , |
| 82 | .Nm BN_GENCB_set_old , | ||
| 66 | .Nm BN_generate_prime , | 83 | .Nm BN_generate_prime , |
| 67 | .Nm BN_is_prime , | 84 | .Nm BN_is_prime , |
| 68 | .Nm BN_is_prime_fasttest | 85 | .Nm BN_is_prime_fasttest |
| 86 | .\" Nm BN_prime_checks_for_size is intentionally undocumented | ||
| 87 | .\" because it is no longer used by LibreSSL. | ||
| 69 | .Nd generate primes and test for primality | 88 | .Nd generate primes and test for primality |
| 70 | .Sh SYNOPSIS | 89 | .Sh SYNOPSIS |
| 71 | .In openssl/bn.h | 90 | .In openssl/bn.h |
| 72 | .Ft int | 91 | .Ft int |
| 73 | .Fo BN_generate_prime_ex | ||
| 74 | .Fa "BIGNUM *ret" | ||
| 75 | .Fa "int bits" | ||
| 76 | .Fa "int safe" | ||
| 77 | .Fa "const BIGNUM *add" | ||
| 78 | .Fa "const BIGNUM *rem" | ||
| 79 | .Fa "BN_GENCB *cb" | ||
| 80 | .Fc | ||
| 81 | .Ft int | ||
| 82 | .Fo BN_is_prime_ex | 92 | .Fo BN_is_prime_ex |
| 83 | .Fa "const BIGNUM *p" | 93 | .Fa "const BIGNUM *a" |
| 84 | .Fa "int nchecks" | 94 | .Fa "int nchecks" |
| 85 | .Fa "BN_CTX *ctx" | 95 | .Fa "BN_CTX *ctx" |
| 86 | .Fa "BN_GENCB *cb" | 96 | .Fa "BN_GENCB *cb" |
| 87 | .Fc | 97 | .Fc |
| 88 | .Ft int | 98 | .Ft int |
| 89 | .Fo BN_is_prime_fasttest_ex | 99 | .Fo BN_is_prime_fasttest_ex |
| 90 | .Fa "const BIGNUM *p" | 100 | .Fa "const BIGNUM *a" |
| 91 | .Fa "int nchecks" | 101 | .Fa "int nchecks" |
| 92 | .Fa "BN_CTX *ctx" | 102 | .Fa "BN_CTX *ctx" |
| 93 | .Fa "int do_trial_division" | 103 | .Fa "int do_trial_division" |
| 94 | .Fa "BN_GENCB *cb" | 104 | .Fa "BN_GENCB *cb" |
| 95 | .Fc | 105 | .Fc |
| 96 | .Ft int | 106 | .Ft int |
| 107 | .Fo BN_generate_prime_ex | ||
| 108 | .Fa "BIGNUM *ret" | ||
| 109 | .Fa "int bits" | ||
| 110 | .Fa "int safe" | ||
| 111 | .Fa "const BIGNUM *modulus" | ||
| 112 | .Fa "const BIGNUM *remainder" | ||
| 113 | .Fa "BN_GENCB *cb" | ||
| 114 | .Fc | ||
| 115 | .Ft int | ||
| 97 | .Fo BN_GENCB_call | 116 | .Fo BN_GENCB_call |
| 98 | .Fa "BN_GENCB *cb" | 117 | .Fa "BN_GENCB *cb" |
| 99 | .Fa "int a" | 118 | .Fa "int state_code" |
| 100 | .Fa "int b" | 119 | .Fa "int serial_number" |
| 101 | .Fc | 120 | .Fc |
| 102 | .Ft BN_GENCB * | 121 | .Ft BN_GENCB * |
| 103 | .Fn BN_GENCB_new void | 122 | .Fn BN_GENCB_new void |
| @@ -106,15 +125,9 @@ | |||
| 106 | .Fa "BN_GENCB *cb" | 125 | .Fa "BN_GENCB *cb" |
| 107 | .Fc | 126 | .Fc |
| 108 | .Ft void | 127 | .Ft void |
| 109 | .Fo BN_GENCB_set_old | ||
| 110 | .Fa "BN_GENCB *gencb" | ||
| 111 | .Fa "void (*callback)(int, int, void *)" | ||
| 112 | .Fa "void *cb_arg" | ||
| 113 | .Fc | ||
| 114 | .Ft void | ||
| 115 | .Fo BN_GENCB_set | 128 | .Fo BN_GENCB_set |
| 116 | .Fa "BN_GENCB *gencb" | 129 | .Fa "BN_GENCB *cb" |
| 117 | .Fa "int (*callback)(int, int, BN_GENCB *)" | 130 | .Fa "int (*cb_fp)(int, int, BN_GENCB *)" |
| 118 | .Fa "void *cb_arg" | 131 | .Fa "void *cb_arg" |
| 119 | .Fc | 132 | .Fc |
| 120 | .Ft void * | 133 | .Ft void * |
| @@ -124,21 +137,27 @@ | |||
| 124 | .Pp | 137 | .Pp |
| 125 | Deprecated: | 138 | Deprecated: |
| 126 | .Pp | 139 | .Pp |
| 140 | .Ft void | ||
| 141 | .Fo BN_GENCB_set_old | ||
| 142 | .Fa "BN_GENCB *cb" | ||
| 143 | .Fa "void (*cb_fp)(int, int, void *)" | ||
| 144 | .Fa "void *cb_arg" | ||
| 145 | .Fc | ||
| 127 | .Ft BIGNUM * | 146 | .Ft BIGNUM * |
| 128 | .Fo BN_generate_prime | 147 | .Fo BN_generate_prime |
| 129 | .Fa "BIGNUM *ret" | 148 | .Fa "BIGNUM *ret" |
| 130 | .Fa "int num" | 149 | .Fa "int num" |
| 131 | .Fa "int safe" | 150 | .Fa "int safe" |
| 132 | .Fa "BIGNUM *add" | 151 | .Fa "BIGNUM *modulus" |
| 133 | .Fa "BIGNUM *rem" | 152 | .Fa "BIGNUM *remainder" |
| 134 | .Fa "void (*callback)(int, int, void *)" | 153 | .Fa "void (*cb_fp)(int, int, void *)" |
| 135 | .Fa "void *cb_arg" | 154 | .Fa "void *cb_arg" |
| 136 | .Fc | 155 | .Fc |
| 137 | .Ft int | 156 | .Ft int |
| 138 | .Fo BN_is_prime | 157 | .Fo BN_is_prime |
| 139 | .Fa "const BIGNUM *a" | 158 | .Fa "const BIGNUM *a" |
| 140 | .Fa "int checks" | 159 | .Fa "int checks" |
| 141 | .Fa "void (*callback)(int, int, void *)" | 160 | .Fa "void (*cb_fp)(int, int, void *)" |
| 142 | .Fa "BN_CTX *ctx" | 161 | .Fa "BN_CTX *ctx" |
| 143 | .Fa "void *cb_arg" | 162 | .Fa "void *cb_arg" |
| 144 | .Fc | 163 | .Fc |
| @@ -146,22 +165,84 @@ Deprecated: | |||
| 146 | .Fo BN_is_prime_fasttest | 165 | .Fo BN_is_prime_fasttest |
| 147 | .Fa "const BIGNUM *a" | 166 | .Fa "const BIGNUM *a" |
| 148 | .Fa "int checks" | 167 | .Fa "int checks" |
| 149 | .Fa "void (*callback)(int, int, void *)" | 168 | .Fa "void (*cb_fp)(int, int, void *)" |
| 150 | .Fa "BN_CTX *ctx" | 169 | .Fa "BN_CTX *ctx" |
| 151 | .Fa "void *cb_arg" | 170 | .Fa "void *cb_arg" |
| 152 | .Fa "int do_trial_division" | 171 | .Fa "int do_trial_division" |
| 153 | .Fc | 172 | .Fc |
| 154 | .Sh DESCRIPTION | 173 | .Sh DESCRIPTION |
| 174 | .Fn BN_is_prime_ex | ||
| 175 | and | ||
| 176 | .Fn BN_is_prime_fasttest_ex | ||
| 177 | test whether the number | ||
| 178 | .Fa a | ||
| 179 | is prime. | ||
| 180 | In LibreSSL, both functions behave identically, | ||
| 181 | use the Baillie-Pomerance-Selfridge-Wagstaff algorithm, | ||
| 182 | and ignore the | ||
| 183 | .Fa checks | ||
| 184 | and | ||
| 185 | .Fa do_trial_division | ||
| 186 | arguments. | ||
| 187 | .Pp | ||
| 188 | It is unknown whether any composite number exists that the | ||
| 189 | Baillie-PSW algorithm misclassifies as a prime. | ||
| 190 | Some suspect that there may be infinitely many such numbers, | ||
| 191 | but not a single one is currently known. | ||
| 192 | It is known that no such number exists below 2\(ha64. | ||
| 193 | .Pp | ||
| 194 | If | ||
| 195 | .Dv NULL | ||
| 196 | is passed for the | ||
| 197 | .Fa ctx | ||
| 198 | argument, these function allocate a | ||
| 199 | .Vt BN_CTX | ||
| 200 | object internally when they need one and free it before returning. | ||
| 201 | Alternatively, to save the overhead of allocating and freeing | ||
| 202 | that object for each call, the caller can pre-allocate a | ||
| 203 | .Vt BN_CTX | ||
| 204 | object and pass it in the | ||
| 205 | .Fa ctx | ||
| 206 | argument. | ||
| 207 | .Pp | ||
| 155 | .Fn BN_generate_prime_ex | 208 | .Fn BN_generate_prime_ex |
| 156 | generates a pseudo-random prime number of at least bit length | 209 | generates a pseudo-random prime number of at least bit length |
| 157 | .Fa bits . | 210 | .Fa bits |
| 158 | The returned number is probably prime, but there is a very small | 211 | and places it in |
| 159 | probability of returning a non-prime number. | 212 | .Fa ret . |
| 160 | If | 213 | Primality of |
| 161 | .Fa ret | 214 | .Fa ret |
| 215 | is tested internally using | ||
| 216 | .Fn BN_is_prime_ex . | ||
| 217 | Consequently, for | ||
| 218 | .Fa bits | ||
| 219 | larger than 64, it is theoretically possible | ||
| 220 | that this function might place a composite number into | ||
| 221 | .Fa ret ; | ||
| 222 | the probability of such an event is unknown but very small. | ||
| 223 | .Pp | ||
| 224 | The prime may have to fulfill additional requirements for use in | ||
| 225 | Diffie-Hellman key exchange: | ||
| 226 | .Bl -bullet | ||
| 227 | .It | ||
| 228 | If | ||
| 229 | .Fa modulus | ||
| 162 | is not | 230 | is not |
| 163 | .Dv NULL , | 231 | .Dv NULL , |
| 164 | it will be used to store the number. | 232 | a prime is generated that fulfills the condition |
| 233 | .Fa ret No % Fa modulus No = Fa remainder . | ||
| 234 | If the | ||
| 235 | .Fa remainder | ||
| 236 | argument is | ||
| 237 | .Dv NULL , | ||
| 238 | 1 is used as the desired remainder. | ||
| 239 | .It | ||
| 240 | If the | ||
| 241 | .Fa safe | ||
| 242 | argument is non-zero, a safe prime is generated, that is, | ||
| 243 | .Po Fa ret No \- 1 Pc Ns /2 | ||
| 244 | is also prime. | ||
| 245 | .El | ||
| 165 | .Pp | 246 | .Pp |
| 166 | If | 247 | If |
| 167 | .Fa cb | 248 | .Fa cb |
| @@ -170,15 +251,18 @@ is not | |||
| 170 | it is used as follows: | 251 | it is used as follows: |
| 171 | .Bl -bullet | 252 | .Bl -bullet |
| 172 | .It | 253 | .It |
| 173 | .Fn BN_GENCB_call cb 0 i | 254 | .Fn BN_GENCB_call cb 0 serial_number |
| 174 | is called after generating the i-th potential prime number. | 255 | is called after generating a potential prime number. |
| 175 | .It | 256 | .It |
| 176 | While the number is being tested for primality, | 257 | The |
| 177 | .Fn BN_GENCB_call cb 1 j | 258 | .Fa state_code |
| 178 | is called as described below. | 259 | of 1 is reserved for callbacks during primality testing, |
| 260 | but LibreSSL performs no such callbacks. | ||
| 179 | .It | 261 | .It |
| 180 | When a prime has been found, | 262 | When |
| 181 | .Fn BN_GENCB_call cb 2 i | 263 | .Fa safe |
| 264 | is non-zero and a safe prime has been found, | ||
| 265 | .Fn BN_GENCB_call cb 2 serial_number | ||
| 182 | is called. | 266 | is called. |
| 183 | .It | 267 | .It |
| 184 | The callers of | 268 | The callers of |
| @@ -189,207 +273,129 @@ with other values as described in their respective manual pages; see | |||
| 189 | .Sx SEE ALSO . | 273 | .Sx SEE ALSO . |
| 190 | .El | 274 | .El |
| 191 | .Pp | 275 | .Pp |
| 192 | The prime may have to fulfill additional requirements for use in | 276 | In all cases, the |
| 193 | Diffie-Hellman key exchange: | 277 | .Fa serial_number |
| 194 | .Pp | 278 | is the number of candidates that have already been discarded |
| 195 | If | 279 | for not being prime; that is, |
| 196 | .Fa add | 280 | .Fa serial_number |
| 197 | is not | 281 | is 0 for the first candidate |
| 198 | .Dv NULL , | 282 | and then incremented whenever a new candidate is generated. |
| 199 | the prime will fulfill the condition p % | ||
| 200 | .Fa add | ||
| 201 | == | ||
| 202 | .Fa rem | ||
| 203 | (p % | ||
| 204 | .Fa add | ||
| 205 | == 1 if | ||
| 206 | .Fa rem | ||
| 207 | == | ||
| 208 | .Dv NULL ) | ||
| 209 | in order to suit a given generator. | ||
| 210 | .Pp | ||
| 211 | If | ||
| 212 | .Fa safe | ||
| 213 | is true, it will be a safe prime (i.e. a prime p so that (p-1)/2 | ||
| 214 | is also prime). | ||
| 215 | .Pp | ||
| 216 | .Fn BN_is_prime_ex | ||
| 217 | and | ||
| 218 | .Fn BN_is_prime_fasttest_ex | ||
| 219 | test if the number | ||
| 220 | .Fa p | ||
| 221 | is prime. | ||
| 222 | The following tests are performed until one of them shows that | ||
| 223 | .Fa p | ||
| 224 | is composite; if | ||
| 225 | .Fa p | ||
| 226 | passes all these tests, it is considered prime. | ||
| 227 | .Pp | 283 | .Pp |
| 228 | .Fn BN_is_prime_fasttest_ex , | 284 | .Fn BN_GENCB_call |
| 229 | when called with | 285 | calls the callback function held in |
| 230 | .Fa do_trial_division | ||
| 231 | == 1, first attempts trial division by a number of small primes; | ||
| 232 | if no divisors are found by this test and | ||
| 233 | .Fa cb | 286 | .Fa cb |
| 234 | is not | 287 | and passes the |
| 235 | .Dv NULL , | 288 | .Fa state_code |
| 236 | .Sy BN_GENCB_call(cb, 1, -1) | 289 | and the |
| 237 | is called. | 290 | .Fa serial_number |
| 238 | If | 291 | as arguments. |
| 239 | .Fa do_trial_division | ||
| 240 | == 0, this test is skipped. | ||
| 241 | .Pp | ||
| 242 | Both | ||
| 243 | .Fn BN_is_prime_ex | ||
| 244 | and | ||
| 245 | .Fn BN_is_prime_fasttest_ex | ||
| 246 | perform a Miller-Rabin probabilistic primality test with | ||
| 247 | .Fa nchecks | ||
| 248 | iterations. | ||
| 249 | If | 292 | If |
| 250 | .Fa nchecks | 293 | .Fa cb |
| 251 | == | 294 | is |
| 252 | .Dv BN_prime_checks , | 295 | .Dv NULL |
| 253 | a number of iterations is used that yields a false positive rate | 296 | or does not contain a callback function, no action occurs. |
| 254 | of at most 2\(ha-64 for random input. | ||
| 255 | The error rate depends on the size of the prime | ||
| 256 | and goes down for bigger primes. | ||
| 257 | The rate is 2\(ha-80 starting at 308 bits, 2\(ha-112 at 852 bits, | ||
| 258 | 2\(ha-128 at 1080 bits, 2\(ha-192 at 3747 bits | ||
| 259 | and 2\(ha-256 at 6394 bits. | ||
| 260 | .Pp | 297 | .Pp |
| 261 | When the source of the prime is not random or not trusted, the | 298 | .Fn BN_GENCB_new |
| 262 | number of checks needs to be much higher to reach the same level | 299 | allocates a new |
| 263 | of assurance: It should equal half of the targeted security level | 300 | .Vt BN_GENCB |
| 264 | in bits (rounded up to the next integer if necessary). | 301 | object. |
| 265 | For instance, to reach the 128-bit security level, | ||
| 266 | .Fa nchecks | ||
| 267 | should be set to 64. | ||
| 268 | .Pp | 302 | .Pp |
| 303 | .Fn BN_GENCB_free | ||
| 304 | frees | ||
| 305 | .Fa cb . | ||
| 269 | If | 306 | If |
| 270 | .Fa cb | 307 | .Fa cb |
| 271 | is not | 308 | is |
| 272 | .Dv NULL , | 309 | .Dv NULL , |
| 273 | .Fa BN_GENCB_call cb 1 j | 310 | no action occurs. |
| 274 | is called after the j-th iteration (j = 0, 1, ...). | ||
| 275 | .Fa ctx | ||
| 276 | is a pre-allocated | ||
| 277 | .Vt BN_CTX | ||
| 278 | (to save the overhead of allocating and freeing the structure in a | ||
| 279 | loop), or | ||
| 280 | .Dv NULL . | ||
| 281 | .Pp | 311 | .Pp |
| 282 | .Fn BN_GENCB_call | 312 | .Fn BN_GENCB_set |
| 283 | calls the callback function held in the | 313 | initialises |
| 284 | .Vt BN_GENCB | 314 | .Fa cb |
| 285 | structure and passes the ints | 315 | to use the callback function pointer |
| 286 | .Fa a | 316 | .Fa cb_fp |
| 287 | and | 317 | and the additional callback argument |
| 288 | .Fa b | 318 | .Fa cb_arg . |
| 289 | as arguments. | ||
| 290 | There are two types of | ||
| 291 | .Vt BN_GENCB | ||
| 292 | structures that are supported: "new" style and "old" style. | ||
| 293 | New programs should prefer the "new" style, whilst the "old" style is | ||
| 294 | provided for backwards compatibility purposes. | ||
| 295 | .Pp | 319 | .Pp |
| 296 | A | 320 | The deprecated function |
| 297 | .Vt BN_GENCB | 321 | .Fn BN_GENCB_set_old |
| 298 | structure should be created through a call to | 322 | initialises |
| 299 | .Fn BN_GENCB_new | 323 | .Fa cb |
| 300 | and freed through a call to | 324 | to use the old-style callback function pointer |
| 301 | .Fn BN_GENCB_free . | 325 | .Fa cb_fp |
| 326 | and the additional callback argument | ||
| 327 | .Fa cb_arg . | ||
| 302 | .Pp | 328 | .Pp |
| 303 | For "new" style callbacks a | 329 | .Fn BN_generate_prime |
| 304 | .Vt BN_GENCB | 330 | is a deprecated wrapper around |
| 305 | structure should be initialised with a call to | ||
| 306 | .Fn BN_GENCB_set , | ||
| 307 | where | ||
| 308 | .Fa gencb | ||
| 309 | is a | ||
| 310 | .Vt BN_GENCB * , | ||
| 311 | .Fa callback | ||
| 312 | is of type | ||
| 313 | .Vt int (*callback)(int, int, BN_GENCB *) | ||
| 314 | and | ||
| 315 | .Fa cb_arg | ||
| 316 | is a | ||
| 317 | .Vt void * . | ||
| 318 | "Old" style callbacks are the same except they are initialised with a | ||
| 319 | call to | ||
| 320 | .Fn BN_GENCB_set_old | 331 | .Fn BN_GENCB_set_old |
| 321 | and | 332 | and |
| 322 | .Fa callback | 333 | .Fn BN_generate_prime_ex . |
| 323 | is of type | 334 | In contrast to |
| 324 | .Vt void (*callback)(int, int, void *) . | 335 | .Fn BN_generate_prime_ex , |
| 325 | .Pp | 336 | if |
| 326 | A callback is invoked through a call to | 337 | .Dv NULL |
| 327 | .Fn BN_GENCB_call . | 338 | is passed for the |
| 328 | This will check the type of the callback and will invoke | 339 | .Fa ret |
| 329 | .Fn callback a b gencb | 340 | argument, a new |
| 330 | for new style callbacks or | 341 | .Vt BIGNUM |
| 331 | .Fn callback a b cb_arg | 342 | object is allocated and returned. |
| 332 | for old style. | ||
| 333 | .Pp | ||
| 334 | It is possible to obtain the argument associated with a | ||
| 335 | .Vt BN_GENCB | ||
| 336 | structure (set via a call to | ||
| 337 | .Fn BN_GENCB_set | ||
| 338 | or | ||
| 339 | .Fn BN_GENCB_set_old ) | ||
| 340 | using | ||
| 341 | .Fn BN_GENCB_get_arg . | ||
| 342 | .Pp | 343 | .Pp |
| 343 | .Fn BN_generate_prime | 344 | Similarly, |
| 344 | (deprecated) works in the same way as | ||
| 345 | .Fn BN_generate_prime_ex | ||
| 346 | but expects an old style callback function directly in the | ||
| 347 | .Fa callback | ||
| 348 | parameter, and an argument to pass to it in the | ||
| 349 | .Fa cb_arg . | ||
| 350 | Similarly | ||
| 351 | .Fn BN_is_prime | 345 | .Fn BN_is_prime |
| 352 | and | 346 | and |
| 353 | .Fn BN_is_prime_fasttest | 347 | .Fn BN_is_prime_fasttest |
| 354 | are deprecated and can be compared to | 348 | are deprecated wrappers around |
| 355 | .Fn BN_is_prime_ex | 349 | .Fn BN_GENCB_set_old |
| 356 | and | 350 | and |
| 357 | .Fn BN_is_prime_fasttest_ex | 351 | .Fn BN_is_prime_ex . |
| 358 | respectively. | ||
| 359 | .Sh RETURN VALUES | 352 | .Sh RETURN VALUES |
| 360 | .Fn BN_generate_prime_ex | ||
| 361 | returns 1 on success or 0 on error. | ||
| 362 | .Pp | ||
| 363 | .Fn BN_is_prime_ex , | 353 | .Fn BN_is_prime_ex , |
| 364 | .Fn BN_is_prime_fasttest_ex , | 354 | .Fn BN_is_prime_fasttest_ex , |
| 365 | .Fn BN_is_prime , | 355 | .Fn BN_is_prime , |
| 366 | and | 356 | and |
| 367 | .Fn BN_is_prime_fasttest | 357 | .Fn BN_is_prime_fasttest |
| 368 | return 0 if the number is composite, 1 if it is prime with an error | 358 | return 0 if the number is composite, 1 if it is prime with a very small |
| 369 | probability of less than | 359 | error probability, or \-1 on error. |
| 370 | .Pf 0.25^ Fa nchecks , | ||
| 371 | and -1 on error. | ||
| 372 | .Pp | 360 | .Pp |
| 373 | .Fn BN_generate_prime | 361 | .Fn BN_generate_prime_ex |
| 374 | returns the prime number on success, | 362 | returns 1 on success or 0 on error. |
| 363 | .Pp | ||
| 364 | .Fn BN_GENCB_call | ||
| 365 | returns 1 on success, including when | ||
| 366 | .Fa cb | ||
| 367 | is | ||
| 375 | .Dv NULL | 368 | .Dv NULL |
| 376 | otherwise. | 369 | or does not contain a callback function, |
| 370 | or 0 on error. | ||
| 377 | .Pp | 371 | .Pp |
| 378 | .Fn BN_GENCB_new | 372 | .Fn BN_GENCB_new |
| 379 | returns a pointer to a | 373 | returns a pointer to the newly allocated |
| 380 | .Vt BN_GENCB | 374 | .Vt BN_GENCB |
| 381 | structure on success, or | 375 | object or |
| 382 | .Dv NULL | 376 | .Dv NULL |
| 383 | otherwise. | 377 | if memory allocation fails. |
| 378 | .Pp | ||
| 379 | The callback functions pointed to by the | ||
| 380 | .Fa cb_fp | ||
| 381 | arguments are supposed to return 1 on success or 0 on error. | ||
| 384 | .Pp | 382 | .Pp |
| 385 | .Fn BN_GENCB_get_arg | 383 | .Fn BN_GENCB_get_arg |
| 386 | returns the argument previously associated with a | 384 | returns the |
| 387 | .Vt BN_GENCB | 385 | .Fa cb_arg |
| 388 | structure. | 386 | pointer that was previously stored in |
| 387 | .Fa cb | ||
| 388 | using | ||
| 389 | .Fn BN_GENCB_set | ||
| 390 | or | ||
| 391 | .Fn BN_GENCB_set_old . | ||
| 389 | .Pp | 392 | .Pp |
| 390 | Callback functions should return 1 on success or 0 on error. | 393 | .Fn BN_generate_prime |
| 394 | returns the prime number on success or | ||
| 395 | .Dv NULL | ||
| 396 | on failure. | ||
| 391 | .Pp | 397 | .Pp |
| 392 | The error codes can be obtained by | 398 | In some cases, error codes can be obtained by |
| 393 | .Xr ERR_get_error 3 . | 399 | .Xr ERR_get_error 3 . |
| 394 | .Sh SEE ALSO | 400 | .Sh SEE ALSO |
| 395 | .Xr BN_new 3 , | 401 | .Xr BN_new 3 , |
