diff libtommath/bn_s_mp_sqr_fast.c @ 1692:1051e4eea25a

Update LibTomMath to 1.2.0 (#84) * update C files * update other files * update headers * update makefiles * remove mp_set/get_double() * use ltm 1.2.0 API * update ltm_desc * use bundled tommath if system-tommath is too old * XMALLOC etc. were changed to MP_MALLOC etc.
author Steffen Jaeckel <s@jaeckel.eu>
date Tue, 26 May 2020 17:36:47 +0200
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/libtommath/bn_s_mp_sqr_fast.c	Tue May 26 17:36:47 2020 +0200
@@ -0,0 +1,97 @@
+#include "tommath_private.h"
+#ifdef BN_S_MP_SQR_FAST_C
+/* LibTomMath, multiple-precision integer library -- Tom St Denis */
+/* SPDX-License-Identifier: Unlicense */
+
+/* the jist of squaring...
+ * you do like mult except the offset of the tmpx [one that
+ * starts closer to zero] can't equal the offset of tmpy.
+ * So basically you set up iy like before then you min it with
+ * (ty-tx) so that it never happens.  You double all those
+ * you add in the inner loop
+
+After that loop you do the squares and add them in.
+*/
+
+mp_err s_mp_sqr_fast(const mp_int *a, mp_int *b)
+{
+   int       olduse, pa, ix, iz;
+   mp_digit  W[MP_WARRAY], *tmpx;
+   mp_word   W1;
+   mp_err    err;
+
+   /* grow the destination as required */
+   pa = a->used + a->used;
+   if (b->alloc < pa) {
+      if ((err = mp_grow(b, pa)) != MP_OKAY) {
+         return err;
+      }
+   }
+
+   /* number of output digits to produce */
+   W1 = 0;
+   for (ix = 0; ix < pa; ix++) {
+      int      tx, ty, iy;
+      mp_word  _W;
+      mp_digit *tmpy;
+
+      /* clear counter */
+      _W = 0;
+
+      /* get offsets into the two bignums */
+      ty = MP_MIN(a->used-1, ix);
+      tx = ix - ty;
+
+      /* setup temp aliases */
+      tmpx = a->dp + tx;
+      tmpy = a->dp + ty;
+
+      /* this is the number of times the loop will iterrate, essentially
+         while (tx++ < a->used && ty-- >= 0) { ... }
+       */
+      iy = MP_MIN(a->used-tx, ty+1);
+
+      /* now for squaring tx can never equal ty
+       * we halve the distance since they approach at a rate of 2x
+       * and we have to round because odd cases need to be executed
+       */
+      iy = MP_MIN(iy, ((ty-tx)+1)>>1);
+
+      /* execute loop */
+      for (iz = 0; iz < iy; iz++) {
+         _W += (mp_word)*tmpx++ * (mp_word)*tmpy--;
+      }
+
+      /* double the inner product and add carry */
+      _W = _W + _W + W1;
+
+      /* even columns have the square term in them */
+      if (((unsigned)ix & 1u) == 0u) {
+         _W += (mp_word)a->dp[ix>>1] * (mp_word)a->dp[ix>>1];
+      }
+
+      /* store it */
+      W[ix] = (mp_digit)_W & MP_MASK;
+
+      /* make next carry */
+      W1 = _W >> (mp_word)MP_DIGIT_BIT;
+   }
+
+   /* setup dest */
+   olduse  = b->used;
+   b->used = a->used+a->used;
+
+   {
+      mp_digit *tmpb;
+      tmpb = b->dp;
+      for (ix = 0; ix < pa; ix++) {
+         *tmpb++ = W[ix] & MP_MASK;
+      }
+
+      /* clear unused digits [that existed in the old copy of c] */
+      MP_ZERO_DIGITS(tmpb, olduse - ix);
+   }
+   mp_clamp(b);
+   return MP_OKAY;
+}
+#endif