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kc3-lang/libtommath/bn_mp_div_3.c

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  • Author : Tom St Denis
    Date : 2004-10-29 22:07:18
    Hash : e549ccfe
    Message : added libtommath-0.32

  • bn_mp_div_3.c
  • #include <tommath.h>
    #ifdef BN_MP_DIV_3_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
     */
    
    /* divide by three (based on routine from MPI and the GMP manual) */
    int
    mp_div_3 (mp_int * a, mp_int *c, mp_digit * d)
    {
      mp_int   q;
      mp_word  w, t;
      mp_digit b;
      int      res, ix;
      
      /* b = 2**DIGIT_BIT / 3 */
      b = (((mp_word)1) << ((mp_word)DIGIT_BIT)) / ((mp_word)3);
    
      if ((res = mp_init_size(&q, a->used)) != MP_OKAY) {
         return res;
      }
      
      q.used = a->used;
      q.sign = a->sign;
      w = 0;
      for (ix = a->used - 1; ix >= 0; ix--) {
         w = (w << ((mp_word)DIGIT_BIT)) | ((mp_word)a->dp[ix]);
    
         if (w >= 3) {
            /* multiply w by [1/3] */
            t = (w * ((mp_word)b)) >> ((mp_word)DIGIT_BIT);
    
            /* now subtract 3 * [w/3] from w, to get the remainder */
            w -= t+t+t;
    
            /* fixup the remainder as required since
             * the optimization is not exact.
             */
            while (w >= 3) {
               t += 1;
               w -= 3;
            }
          } else {
            t = 0;
          }
          q.dp[ix] = (mp_digit)t;
      }
    
      /* [optional] store the remainder */
      if (d != NULL) {
         *d = (mp_digit)w;
      }
    
      /* [optional] store the quotient */
      if (c != NULL) {
         mp_clamp(&q);
         mp_exch(&q, c);
      }
      mp_clear(&q);
      
      return res;
    }
    
    #endif