+#include <tommath.h>
+#ifdef BN_MP_DR_REDUCE_C
/* LibTomMath, multiple-precision integer library -- Tom St Denis
*
- * LibTomMath is library that provides for multiple-precision
+ * LibTomMath is a library that provides multiple-precision
* integer arithmetic as well as number theoretic functionality.
*
- * The library is designed directly after the MPI library by
+ * The library was designed directly after the MPI library by
* Michael Fromberger but has been written from scratch with
* additional optimizations in place.
*
*
* Tom St Denis, tomstdenis@iahu.ca, http://math.libtomcrypt.org
*/
-#include <tommath.h>
/* reduce "x" in place modulo "n" using the Diminished Radix algorithm.
*
* Based on algorithm from the paper
*
* "Generating Efficient Primes for Discrete Log Cryptosystems"
- * Chae Hoon Lim, Pil Loong Lee,
+ * Chae Hoon Lim, Pil Joong Lee,
* POSTECH Information Research Laboratories
*
* The modulus must be of a special format [see manual]
*
* Has been modified to use algorithm 7.10 from the LTM book instead
+ *
+ * Input x must be in the range 0 <= x <= (n-1)**2
*/
int
mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k)
int err, i, m;
mp_word r;
mp_digit mu, *tmpx1, *tmpx2;
-
+
/* m = digits in modulus */
m = n->used;
-
+
/* ensure that "x" has at least 2m digits */
if (x->alloc < m + m) {
if ((err = mp_grow (x, m + m)) != MP_OKAY) {
}
}
-/* top of loop, this is where the code resumes if
+/* top of loop, this is where the code resumes if
* another reduction pass is required.
*/
top:
/* aliases for digits */
/* alias for lower half of x */
tmpx1 = x->dp;
-
+
/* alias for upper half of x, or x/B**m */
tmpx2 = x->dp + m;
-
+
/* set carry to zero */
mu = 0;
-
- /* compute (x mod B**m) + mp * [x/B**m] inline and inplace */
+
+ /* compute (x mod B**m) + k * [x/B**m] inline and inplace */
for (i = 0; i < m; i++) {
r = ((mp_word)*tmpx2++) * ((mp_word)k) + *tmpx1 + mu;
*tmpx1++ = (mp_digit)(r & MP_MASK);
mu = (mp_digit)(r >> ((mp_word)DIGIT_BIT));
}
-
+
/* set final carry */
*tmpx1++ = mu;
-
+
/* zero words above m */
for (i = m + 1; i < x->used; i++) {
*tmpx1++ = 0;
/* clamp, sub and return */
mp_clamp (x);
- /* if x >= n then subtract and reduce again
+ /* if x >= n then subtract and reduce again
* Each successive "recursion" makes the input smaller and smaller.
*/
if (mp_cmp_mag (x, n) != MP_LT) {
}
return MP_OKAY;
}
+#endif