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kc3-lang/libtommath/bn_mp_exptmod.c

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  • Author : Francois Perrad
    Date : 2019-09-02 18:23:32
    Hash : b14c8e37
    Message : explicit operator precedence

  • bn_mp_exptmod.c
  • #include "tommath_private.h"
    #ifdef BN_MP_EXPTMOD_C
    /* LibTomMath, multiple-precision integer library -- Tom St Denis */
    /* SPDX-License-Identifier: Unlicense */
    
    /* this is a shell function that calls either the normal or Montgomery
     * exptmod functions.  Originally the call to the montgomery code was
     * embedded in the normal function but that wasted alot of stack space
     * for nothing (since 99% of the time the Montgomery code would be called)
     */
    mp_err mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y)
    {
       int dr;
    
       /* modulus P must be positive */
       if (P->sign == MP_NEG) {
          return MP_VAL;
       }
    
       /* if exponent X is negative we have to recurse */
       if (X->sign == MP_NEG) {
          mp_int tmpG, tmpX;
          mp_err err;
    
          if (!MP_HAS(MP_INVMOD)) {
             return MP_VAL;
          }
    
          if ((err = mp_init_multi(&tmpG, &tmpX, NULL)) != MP_OKAY) {
             return err;
          }
    
          /* first compute 1/G mod P */
          if ((err = mp_invmod(G, P, &tmpG)) != MP_OKAY) {
             goto LBL_ERR;
          }
    
          /* now get |X| */
          if ((err = mp_abs(X, &tmpX)) != MP_OKAY) {
             goto LBL_ERR;
          }
    
          /* and now compute (1/G)**|X| instead of G**X [X < 0] */
          err = mp_exptmod(&tmpG, &tmpX, P, Y);
    LBL_ERR:
          mp_clear_multi(&tmpG, &tmpX, NULL);
          return err;
       }
    
       /* modified diminished radix reduction */
       if (MP_HAS(MP_REDUCE_IS_2K_L) && MP_HAS(MP_REDUCE_2K_L) && MP_HAS(S_MP_EXPTMOD) &&
           (mp_reduce_is_2k_l(P) == MP_YES)) {
          return s_mp_exptmod(G, X, P, Y, 1);
       }
    
       /* is it a DR modulus? default to no */
       dr = (MP_HAS(MP_DR_IS_MODULUS) && (mp_dr_is_modulus(P) == MP_YES)) ? 1 : 0;
    
       /* if not, is it a unrestricted DR modulus? */
       if (MP_HAS(MP_REDUCE_IS_2K) && (dr == 0)) {
          dr = (mp_reduce_is_2k(P) == MP_YES) ? 2 : 0;
       }
    
       /* if the modulus is odd or dr != 0 use the montgomery method */
       if (MP_HAS(S_MP_EXPTMOD_FAST) && (MP_IS_ODD(P) || (dr != 0))) {
          return s_mp_exptmod_fast(G, X, P, Y, dr);
       } else if (MP_HAS(S_MP_EXPTMOD)) {
          /* otherwise use the generic Barrett reduction technique */
          return s_mp_exptmod(G, X, P, Y, 0);
       } else {
          /* no exptmod for evens */
          return MP_VAL;
       }
    }
    
    #endif