diff bn_fast_s_mp_mul_high_digs.c @ 2:86e0b50a9b58 libtommath-orig ltm-0.30-orig

ltm 0.30 orig import
author Matt Johnston <matt@ucc.asn.au>
date Mon, 31 May 2004 18:25:22 +0000
parents
children d29b64170cf0
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/bn_fast_s_mp_mul_high_digs.c	Mon May 31 18:25:22 2004 +0000
@@ -0,0 +1,98 @@
+/* LibTomMath, multiple-precision integer library -- Tom St Denis
+ *
+ * LibTomMath is a library that provides multiple-precision
+ * integer arithmetic as well as number theoretic functionality.
+ *
+ * The library was 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, [email protected], http://math.libtomcrypt.org
+ */
+ #include <tommath.h>
+
+/* this is a modified version of fast_s_mp_mul_digs that only produces
+ * output digits *above* digs.  See the comments for fast_s_mp_mul_digs
+ * to see how it works.
+ *
+ * This is used in the Barrett reduction since for one of the multiplications
+ * only the higher digits were needed.  This essentially halves the work.
+ *
+ * Based on Algorithm 14.12 on pp.595 of HAC.
+ */
+int
+fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs)
+{
+  int     oldused, newused, res, pa, pb, ix;
+  mp_word W[MP_WARRAY];
+
+  /* calculate size of product and allocate more space if required */
+  newused = a->used + b->used + 1;
+  if (c->alloc < newused) {
+    if ((res = mp_grow (c, newused)) != MP_OKAY) {
+      return res;
+    }
+  }
+
+  /* like the other comba method we compute the columns first */
+  pa = a->used;
+  pb = b->used;
+  memset (W + digs, 0, (pa + pb + 1 - digs) * sizeof (mp_word));
+  for (ix = 0; ix < pa; ix++) {
+    {
+      register mp_digit tmpx, *tmpy;
+      register int iy;
+      register mp_word *_W;
+
+      /* work todo, that is we only calculate digits that are at "digs" or above  */
+      iy = digs - ix;
+
+      /* copy of word on the left of A[ix] * B[iy] */
+      tmpx = a->dp[ix];
+
+      /* alias for right side */
+      tmpy = b->dp + iy;
+     
+      /* alias for the columns of output.  Offset to be equal to or above the 
+       * smallest digit place requested 
+       */
+      _W = W + digs;     
+      
+      /* skip cases below zero where ix > digs */
+      if (iy < 0) {
+         iy    = abs(iy);
+         tmpy += iy;
+         _W   += iy;
+         iy    = 0;
+      }
+
+      /* compute column products for digits above the minimum */
+      for (; iy < pb; iy++) {
+         *_W++ += ((mp_word) tmpx) * ((mp_word)*tmpy++);
+      }
+    }
+  }
+
+  /* setup dest */
+  oldused = c->used;
+  c->used = newused;
+
+  /* now convert the array W downto what we need
+   *
+   * See comments in bn_fast_s_mp_mul_digs.c
+   */
+  for (ix = digs + 1; ix < newused; ix++) {
+    W[ix] += (W[ix - 1] >> ((mp_word) DIGIT_BIT));
+    c->dp[ix - 1] = (mp_digit) (W[ix - 1] & ((mp_word) MP_MASK));
+  }
+  c->dp[newused - 1] = (mp_digit) (W[newused - 1] & ((mp_word) MP_MASK));
+
+  for (; ix < oldused; ix++) {
+    c->dp[ix] = 0;
+  }
+  mp_clamp (c);
+  return MP_OKAY;
+}