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kc3-lang/libtommath/bn_mp_prime_is_prime.c

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  • Author : Tom St Denis
    Date : 2004-12-23 02:40:37
    Hash : 4b7111d9
    Message : added libtommath-0.33

  • bn_mp_prime_is_prime.c
  • #include <tommath.h>
    #ifdef BN_MP_PRIME_IS_PRIME_C
    /* LibTomMath, multiple-precision integer library -- Tom St Denis
     *
     * LibTomMath is a library that provides multiple-precision
     * integer arithmetic as well as number theoretic functionality.
     *
     * The library was designed directly after the MPI library by
     * 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, tomstdenis@iahu.ca, http://math.libtomcrypt.org
     */
    
    /* performs a variable number of rounds of Miller-Rabin
     *
     * Probability of error after t rounds is no more than
    
     *
     * Sets result to 1 if probably prime, 0 otherwise
     */
    int mp_prime_is_prime (mp_int * a, int t, int *result)
    {
      mp_int  b;
      int     ix, err, res;
    
      /* default to no */
      *result = MP_NO;
    
      /* valid value of t? */
      if (t <= 0 || t > PRIME_SIZE) {
        return MP_VAL;
      }
    
      /* is the input equal to one of the primes in the table? */
      for (ix = 0; ix < PRIME_SIZE; ix++) {
          if (mp_cmp_d(a, ltm_prime_tab[ix]) == MP_EQ) {
             *result = 1;
             return MP_OKAY;
          }
      }
    
      /* first perform trial division */
      if ((err = mp_prime_is_divisible (a, &res)) != MP_OKAY) {
        return err;
      }
    
      /* return if it was trivially divisible */
      if (res == MP_YES) {
        return MP_OKAY;
      }
    
      /* now perform the miller-rabin rounds */
      if ((err = mp_init (&b)) != MP_OKAY) {
        return err;
      }
    
      for (ix = 0; ix < t; ix++) {
        /* set the prime */
        mp_set (&b, ltm_prime_tab[ix]);
    
        if ((err = mp_prime_miller_rabin (a, &b, &res)) != MP_OKAY) {
          goto LBL_B;
        }
    
        if (res == MP_NO) {
          goto LBL_B;
        }
      }
    
      /* passed the test */
      *result = MP_YES;
    LBL_B:mp_clear (&b);
      return err;
    }
    #endif