tommath/bn_mp_prime_is_prime.c

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#include <tommath_private.h>
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#ifdef BN_MP_PRIME_IS_PRIME_C
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/* LibTomMath, multiple-precision integer library -- Tom St Denis
*
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* LibTomMath is a library that provides multiple-precision
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* integer arithmetic as well as number theoretic functionality.
*
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* The library was designed directly after the MPI library by
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* Michael Fromberger but has been written from scratch with
* additional optimizations in place.
*
* The library is free for all purposes without any express
* guarantee it works.
*
* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
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*/
/* performs a variable number of rounds of Miller-Rabin
*
* Probability of error after t rounds is no more than
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*
* Sets result to 1 if probably prime, 0 otherwise
*/
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int mp_prime_is_prime(const mp_int *a, int t, int *result)
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{
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mp_int b;
int ix, err, res;
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/* default to no */
*result = MP_NO;
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/* valid value of t? */
if ((t <= 0) || (t > PRIME_SIZE)) {
return MP_VAL;
}
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/* is the input equal to one of the primes in the table? */
for (ix = 0; ix < PRIME_SIZE; ix++) {
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if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) {
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*result = 1;
return MP_OKAY;
}
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}
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/* first perform trial division */
if ((err = mp_prime_is_divisible(a, &res)) != MP_OKAY) {
return err;
}
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/* return if it was trivially divisible */
if (res == MP_YES) {
return MP_OKAY;
}
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/* now perform the miller-rabin rounds */
if ((err = mp_init(&b)) != MP_OKAY) {
return err;
}
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for (ix = 0; ix < t; ix++) {
/* set the prime */
mp_set(&b, ltm_prime_tab[ix]);
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if ((err = mp_prime_miller_rabin(a, &b, &res)) != MP_OKAY) {
goto LBL_B;
}
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if (res == MP_NO) {
goto LBL_B;
}
}
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/* passed the test */
*result = MP_YES;
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LBL_B:
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mp_clear(&b);
return err;
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}
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#endif
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/* ref: $Format:%D$ */
/* git commit: $Format:%H$ */
/* commit time: $Format:%ai$ */