view libtommath/bn_s_mp_exptmod.c @ 1857:6022df862942

Use DSCP for IP QoS traffic classes The previous TOS values are deprecated and not used by modern traffic classifiers. This sets AF21 for "interactive" traffic (with a tty). Non-tty traffic sets AF11 - that indicates high throughput but is not lowest priority (which would be CS1 or LE). This differs from the CS1 used by OpenSSH, it lets interactive git over SSH have higher priority than background least effort traffic. Dropbear's settings here should be suitable with the diffservs used by CAKE qdisc.
author Matt Johnston <matt@ucc.asn.au>
date Tue, 25 Jan 2022 17:32:20 +0800
parents 1051e4eea25a
children
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#include "tommath_private.h"
#ifdef BN_S_MP_EXPTMOD_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis */
/* SPDX-License-Identifier: Unlicense */

#ifdef MP_LOW_MEM
#   define TAB_SIZE 32
#   define MAX_WINSIZE 5
#else
#   define TAB_SIZE 256
#   define MAX_WINSIZE 0
#endif

mp_err s_mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y, int redmode)
{
   mp_int  M[TAB_SIZE], res, mu;
   mp_digit buf;
   mp_err   err;
   int      bitbuf, bitcpy, bitcnt, mode, digidx, x, y, winsize;
   mp_err(*redux)(mp_int *x, const mp_int *m, const mp_int *mu);

   /* find window size */
   x = mp_count_bits(X);
   if (x <= 7) {
      winsize = 2;
   } else if (x <= 36) {
      winsize = 3;
   } else if (x <= 140) {
      winsize = 4;
   } else if (x <= 450) {
      winsize = 5;
   } else if (x <= 1303) {
      winsize = 6;
   } else if (x <= 3529) {
      winsize = 7;
   } else {
      winsize = 8;
   }

   winsize = MAX_WINSIZE ? MP_MIN(MAX_WINSIZE, winsize) : winsize;

   /* init M array */
   /* init first cell */
   if ((err = mp_init(&M[1])) != MP_OKAY) {
      return err;
   }

   /* now init the second half of the array */
   for (x = 1<<(winsize-1); x < (1 << winsize); x++) {
      if ((err = mp_init(&M[x])) != MP_OKAY) {
         for (y = 1<<(winsize-1); y < x; y++) {
            mp_clear(&M[y]);
         }
         mp_clear(&M[1]);
         return err;
      }
   }

   /* create mu, used for Barrett reduction */
   if ((err = mp_init(&mu)) != MP_OKAY)                           goto LBL_M;

   if (redmode == 0) {
      if ((err = mp_reduce_setup(&mu, P)) != MP_OKAY)             goto LBL_MU;
      redux = mp_reduce;
   } else {
      if ((err = mp_reduce_2k_setup_l(P, &mu)) != MP_OKAY)        goto LBL_MU;
      redux = mp_reduce_2k_l;
   }

   /* create M table
    *
    * The M table contains powers of the base,
    * e.g. M[x] = G**x mod P
    *
    * The first half of the table is not
    * computed though accept for M[0] and M[1]
    */
   if ((err = mp_mod(G, P, &M[1])) != MP_OKAY)                    goto LBL_MU;

   /* compute the value at M[1<<(winsize-1)] by squaring
    * M[1] (winsize-1) times
    */
   if ((err = mp_copy(&M[1], &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) goto LBL_MU;

   for (x = 0; x < (winsize - 1); x++) {
      /* square it */
      if ((err = mp_sqr(&M[(size_t)1 << (winsize - 1)],
                        &M[(size_t)1 << (winsize - 1)])) != MP_OKAY) goto LBL_MU;

      /* reduce modulo P */
      if ((err = redux(&M[(size_t)1 << (winsize - 1)], P, &mu)) != MP_OKAY) goto LBL_MU;
   }

   /* create upper table, that is M[x] = M[x-1] * M[1] (mod P)
    * for x = (2**(winsize - 1) + 1) to (2**winsize - 1)
    */
   for (x = (1 << (winsize - 1)) + 1; x < (1 << winsize); x++) {
      if ((err = mp_mul(&M[x - 1], &M[1], &M[x])) != MP_OKAY)     goto LBL_MU;
      if ((err = redux(&M[x], P, &mu)) != MP_OKAY)                goto LBL_MU;
   }

   /* setup result */
   if ((err = mp_init(&res)) != MP_OKAY)                          goto LBL_MU;
   mp_set(&res, 1uL);

   /* set initial mode and bit cnt */
   mode   = 0;
   bitcnt = 1;
   buf    = 0;
   digidx = X->used - 1;
   bitcpy = 0;
   bitbuf = 0;

   for (;;) {
      /* grab next digit as required */
      if (--bitcnt == 0) {
         /* if digidx == -1 we are out of digits */
         if (digidx == -1) {
            break;
         }
         /* read next digit and reset the bitcnt */
         buf    = X->dp[digidx--];
         bitcnt = (int)MP_DIGIT_BIT;
      }

      /* grab the next msb from the exponent */
      y     = (buf >> (mp_digit)(MP_DIGIT_BIT - 1)) & 1uL;
      buf <<= (mp_digit)1;

      /* if the bit is zero and mode == 0 then we ignore it
       * These represent the leading zero bits before the first 1 bit
       * in the exponent.  Technically this opt is not required but it
       * does lower the # of trivial squaring/reductions used
       */
      if ((mode == 0) && (y == 0)) {
         continue;
      }

      /* if the bit is zero and mode == 1 then we square */
      if ((mode == 1) && (y == 0)) {
         if ((err = mp_sqr(&res, &res)) != MP_OKAY)               goto LBL_RES;
         if ((err = redux(&res, P, &mu)) != MP_OKAY)              goto LBL_RES;
         continue;
      }

      /* else we add it to the window */
      bitbuf |= (y << (winsize - ++bitcpy));
      mode    = 2;

      if (bitcpy == winsize) {
         /* ok window is filled so square as required and multiply  */
         /* square first */
         for (x = 0; x < winsize; x++) {
            if ((err = mp_sqr(&res, &res)) != MP_OKAY)            goto LBL_RES;
            if ((err = redux(&res, P, &mu)) != MP_OKAY)           goto LBL_RES;
         }

         /* then multiply */
         if ((err = mp_mul(&res, &M[bitbuf], &res)) != MP_OKAY)  goto LBL_RES;
         if ((err = redux(&res, P, &mu)) != MP_OKAY)             goto LBL_RES;

         /* empty window and reset */
         bitcpy = 0;
         bitbuf = 0;
         mode   = 1;
      }
   }

   /* if bits remain then square/multiply */
   if ((mode == 2) && (bitcpy > 0)) {
      /* square then multiply if the bit is set */
      for (x = 0; x < bitcpy; x++) {
         if ((err = mp_sqr(&res, &res)) != MP_OKAY)               goto LBL_RES;
         if ((err = redux(&res, P, &mu)) != MP_OKAY)              goto LBL_RES;

         bitbuf <<= 1;
         if ((bitbuf & (1 << winsize)) != 0) {
            /* then multiply */
            if ((err = mp_mul(&res, &M[1], &res)) != MP_OKAY)     goto LBL_RES;
            if ((err = redux(&res, P, &mu)) != MP_OKAY)           goto LBL_RES;
         }
      }
   }

   mp_exch(&res, Y);
   err = MP_OKAY;
LBL_RES:
   mp_clear(&res);
LBL_MU:
   mp_clear(&mu);
LBL_M:
   mp_clear(&M[1]);
   for (x = 1<<(winsize-1); x < (1 << winsize); x++) {
      mp_clear(&M[x]);
   }
   return err;
}
#endif