3 /* LibTomMath, multiple-precision integer library -- Tom St Denis
5 * LibTomMath is a library that provides multiple-precision
6 * integer arithmetic as well as number theoretic functionality.
8 * The library was designed directly after the MPI library by
9 * Michael Fromberger but has been written from scratch with
10 * additional optimizations in place.
12 * The library is free for all purposes without any express
15 * Tom St Denis, tomstdenis@iahu.ca, http://math.libtomcrypt.org
18 /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */
19 int s_mp_sqr (mp_int * a, mp_int * b)
24 mp_digit u, tmpx, *tmpt;
27 if ((res = mp_init_size (&t, 2*pa + 1)) != MP_OKAY) {
31 /* default used is maximum possible size */
34 for (ix = 0; ix < pa; ix++) {
35 /* first calculate the digit at 2*ix */
36 /* calculate double precision result */
37 r = ((mp_word) t.dp[2*ix]) +
38 ((mp_word)a->dp[ix])*((mp_word)a->dp[ix]);
40 /* store lower part in result */
41 t.dp[ix+ix] = (mp_digit) (r & ((mp_word) MP_MASK));
44 u = (mp_digit)(r >> ((mp_word) DIGIT_BIT));
46 /* left hand side of A[ix] * A[iy] */
49 /* alias for where to store the results */
50 tmpt = t.dp + (2*ix + 1);
52 for (iy = ix + 1; iy < pa; iy++) {
53 /* first calculate the product */
54 r = ((mp_word)tmpx) * ((mp_word)a->dp[iy]);
56 /* now calculate the double precision result, note we use
57 * addition instead of *2 since it's easier to optimize
59 r = ((mp_word) *tmpt) + r + r + ((mp_word) u);
61 /* store lower part */
62 *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK));
65 u = (mp_digit)(r >> ((mp_word) DIGIT_BIT));
67 /* propagate upwards */
68 while (u != ((mp_digit) 0)) {
69 r = ((mp_word) *tmpt) + ((mp_word) u);
70 *tmpt++ = (mp_digit) (r & ((mp_word) MP_MASK));
71 u = (mp_digit)(r >> ((mp_word) DIGIT_BIT));