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kc3-lang/libtommath/bn_s_mp_add.c

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  • Author : Tom St Denis
    Date : 2003-02-28 16:08:34
    Hash : 57354e11
    Message : added libtommath-0.12

  • bn_s_mp_add.c
  • /* LibTomMath, multiple-precision integer library -- Tom St Denis
     *
     * LibTomMath is library that provides for multiple-precision
     * integer arithmetic as well as number theoretic functionality.
     *
     * The library is 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://libtommath.iahu.ca
     */
    #include <tommath.h>
    
    /* low level addition, based on HAC pp.594, Algorithm 14.7 */
    int
    s_mp_add (mp_int * a, mp_int * b, mp_int * c)
    {
      mp_int   *x;
      int       olduse, res, min, max, i;
      mp_digit  u;
    
    
      /* find sizes, we let |a| <= |b| which means we have to sort
       * them.  "x" will point to the input with the most digits
       */
      if (a->used > b->used) {
        min = b->used;
        max = a->used;
        x = a;
      } else if (a->used < b->used) {
        min = a->used;
        max = b->used;
        x = b;
      } else {
        min = max = a->used;
        x = NULL;
      }
    
      /* init result */
      if (c->alloc < max + 1) {
        if ((res = mp_grow (c, max + 1)) != MP_OKAY) {
          return res;
        }
      }
    
      olduse = c->used;
      c->used = max + 1;
    
      /* add digits from lower part */
    
      /* set the carry to zero */
      u = 0;
      for (i = 0; i < min; i++) {
        /* Compute the sum at one digit, T[i] = A[i] + B[i] + U */
        c->dp[i] = a->dp[i] + b->dp[i] + u;
    
        /* U = carry bit of T[i] */
        u = (c->dp[i] >> DIGIT_BIT) & 1;
    
        /* take away carry bit from T[i] */
        c->dp[i] &= MP_MASK;
      }
    
      /* now copy higher words if any, that is in A+B if A or B has more digits add those in */
      if (min != max) {
        for (; i < max; i++) {
          /* T[i] = X[i] + U */
          c->dp[i] = x->dp[i] + u;
    
          /* U = carry bit of T[i] */
          u = (c->dp[i] >> DIGIT_BIT) & 1;
    
          /* take away carry bit from T[i] */
          c->dp[i] &= MP_MASK;
        }
      }
    
      /* add carry */
      c->dp[i] = u;
    
      /* clear digits above used (since we may not have grown result above) */
      for (i = c->used; i < olduse; i++) {
        c->dp[i] = 0;
      }
    
      mp_clamp (c);
      return MP_OKAY;
    }