view libtommath/bn_s_mp_exptmod.c @ 1861:2b3a8026a6ce

Add re-exec for server This allows ASLR to re-randomize the address space for every connection, preventing some vulnerabilities from being exploitable by repeated probing. Overhead (memory and time) is yet to be confirmed. At present this is only enabled on Linux. Other BSD platforms with fexecve() would probably also work though have not been tested.
author Matt Johnston <matt@ucc.asn.au>
date Sun, 30 Jan 2022 10:14:56 +0800
parents 1051e4eea25a
children
line wrap: on
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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