summaryrefslogtreecommitdiffstats
path: root/libtommath/bn_mp_toom_sqr.c
diff options
context:
space:
mode:
Diffstat (limited to 'libtommath/bn_mp_toom_sqr.c')
-rw-r--r--libtommath/bn_mp_toom_sqr.c396
1 files changed, 198 insertions, 198 deletions
diff --git a/libtommath/bn_mp_toom_sqr.c b/libtommath/bn_mp_toom_sqr.c
index 48880d0..6fce29b 100644
--- a/libtommath/bn_mp_toom_sqr.c
+++ b/libtommath/bn_mp_toom_sqr.c
@@ -16,207 +16,207 @@
*/
/* squaring using Toom-Cook 3-way algorithm */
-int
-mp_toom_sqr(mp_int *a, mp_int *b)
+int mp_toom_sqr(mp_int * a, mp_int * b)
{
- mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2;
- int res, B;
-
- /* init temps */
- if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL)) != MP_OKAY) {
- return res;
- }
-
- /* B */
- B = a->used / 3;
-
- /* a = a2 * B**2 + a1 * B + a0 */
- if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) {
- goto ERR;
- }
-
- if ((res = mp_copy(a, &a1)) != MP_OKAY) {
- goto ERR;
- }
- mp_rshd(&a1, B);
- mp_mod_2d(&a1, DIGIT_BIT * B, &a1);
-
- if ((res = mp_copy(a, &a2)) != MP_OKAY) {
- goto ERR;
- }
- mp_rshd(&a2, B*2);
-
- /* w0 = a0*a0 */
- if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) {
- goto ERR;
- }
-
- /* w4 = a2 * a2 */
- if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) {
- goto ERR;
- }
-
- /* w1 = (a2 + 2(a1 + 2a0))**2 */
- if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
-
- if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) {
- goto ERR;
- }
-
- /* w3 = (a0 + 2(a1 + 2a2))**2 */
- if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
-
- if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) {
- goto ERR;
- }
-
-
- /* w2 = (a2 + a1 + a0)**2 */
- if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) {
- goto ERR;
- }
-
- /* now solve the matrix
-
- 0 0 0 0 1
- 1 2 4 8 16
- 1 1 1 1 1
- 16 8 4 2 1
- 1 0 0 0 0
-
- using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication.
- */
-
- /* r1 - r4 */
- if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) {
- goto ERR;
- }
- /* r3 - r0 */
- if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) {
- goto ERR;
- }
- /* r1/2 */
- if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) {
- goto ERR;
- }
- /* r3/2 */
- if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) {
- goto ERR;
- }
- /* r2 - r0 - r4 */
- if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) {
- goto ERR;
- }
- /* r1 - r2 */
- if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) {
- goto ERR;
- }
- /* r3 - r2 */
- if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) {
- goto ERR;
- }
- /* r1 - 8r0 */
- if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) {
- goto ERR;
- }
- /* r3 - 8r4 */
- if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) {
- goto ERR;
- }
- /* 3r2 - r1 - r3 */
- if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) {
- goto ERR;
- }
- /* r1 - r2 */
- if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) {
- goto ERR;
- }
- /* r3 - r2 */
- if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) {
- goto ERR;
- }
- /* r1/3 */
- if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) {
- goto ERR;
- }
- /* r3/3 */
- if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) {
- goto ERR;
- }
-
- /* at this point shift W[n] by B*n */
- if ((res = mp_lshd(&w1, 1*B)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_lshd(&w2, 2*B)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_lshd(&w3, 3*B)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_lshd(&w4, 4*B)) != MP_OKAY) {
- goto ERR;
- }
-
- if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) {
- goto ERR;
- }
+ mp_int w0, w1, w2, w3, w4, tmp1, a0, a1, a2;
+ int res, B;
+
+ /* init temps */
+ if ((res =
+ mp_init_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1,
+ NULL)) != MP_OKAY) {
+ return res;
+ }
+
+ /* B */
+ B = a->used / 3;
+
+ /* a = a2 * B**2 + a1 * B + a0 */
+ if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) {
+ goto ERR;
+ }
+
+ if ((res = mp_copy(a, &a1)) != MP_OKAY) {
+ goto ERR;
+ }
+ mp_rshd(&a1, B);
+ mp_mod_2d(&a1, DIGIT_BIT * B, &a1);
+
+ if ((res = mp_copy(a, &a2)) != MP_OKAY) {
+ goto ERR;
+ }
+ mp_rshd(&a2, B * 2);
+
+ /* w0 = a0*a0 */
+ if ((res = mp_sqr(&a0, &w0)) != MP_OKAY) {
+ goto ERR;
+ }
+
+ /* w4 = a2 * a2 */
+ if ((res = mp_sqr(&a2, &w4)) != MP_OKAY) {
+ goto ERR;
+ }
+
+ /* w1 = (a2 + 2(a1 + 2a0))**2 */
+ if ((res = mp_mul_2(&a0, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&tmp1, &a2, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+
+ if ((res = mp_sqr(&tmp1, &w1)) != MP_OKAY) {
+ goto ERR;
+ }
+
+ /* w3 = (a0 + 2(a1 + 2a2))**2 */
+ if ((res = mp_mul_2(&a2, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&tmp1, &a1, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_mul_2(&tmp1, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+
+ if ((res = mp_sqr(&tmp1, &w3)) != MP_OKAY) {
+ goto ERR;
+ }
+
+ /* w2 = (a2 + a1 + a0)**2 */
+ if ((res = mp_add(&a2, &a1, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&tmp1, &a0, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_sqr(&tmp1, &w2)) != MP_OKAY) {
+ goto ERR;
+ }
+
+ /* now solve the matrix
+
+ 0 0 0 0 1
+ 1 2 4 8 16
+ 1 1 1 1 1
+ 16 8 4 2 1
+ 1 0 0 0 0
+
+ using 12 subtractions, 4 shifts, 2 small divisions and 1 small multiplication.
+ */
+
+ /* r1 - r4 */
+ if ((res = mp_sub(&w1, &w4, &w1)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r3 - r0 */
+ if ((res = mp_sub(&w3, &w0, &w3)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r1/2 */
+ if ((res = mp_div_2(&w1, &w1)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r3/2 */
+ if ((res = mp_div_2(&w3, &w3)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r2 - r0 - r4 */
+ if ((res = mp_sub(&w2, &w0, &w2)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_sub(&w2, &w4, &w2)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r1 - r2 */
+ if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r3 - r2 */
+ if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r1 - 8r0 */
+ if ((res = mp_mul_2d(&w0, 3, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_sub(&w1, &tmp1, &w1)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r3 - 8r4 */
+ if ((res = mp_mul_2d(&w4, 3, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_sub(&w3, &tmp1, &w3)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* 3r2 - r1 - r3 */
+ if ((res = mp_mul_d(&w2, 3, &w2)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_sub(&w2, &w1, &w2)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_sub(&w2, &w3, &w2)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r1 - r2 */
+ if ((res = mp_sub(&w1, &w2, &w1)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r3 - r2 */
+ if ((res = mp_sub(&w3, &w2, &w3)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r1/3 */
+ if ((res = mp_div_3(&w1, &w1, NULL)) != MP_OKAY) {
+ goto ERR;
+ }
+ /* r3/3 */
+ if ((res = mp_div_3(&w3, &w3, NULL)) != MP_OKAY) {
+ goto ERR;
+ }
+
+ /* at this point shift W[n] by B*n */
+ if ((res = mp_lshd(&w1, 1 * B)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_lshd(&w2, 2 * B)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_lshd(&w3, 3 * B)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_lshd(&w4, 4 * B)) != MP_OKAY) {
+ goto ERR;
+ }
+
+ if ((res = mp_add(&w0, &w1, b)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&w2, &w3, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&w4, &tmp1, &tmp1)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&tmp1, b, b)) != MP_OKAY) {
+ goto ERR;
+ }
ERR:
- mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL);
- return res;
+ mp_clear_multi(&w0, &w1, &w2, &w3, &w4, &a0, &a1, &a2, &tmp1, NULL);
+ return res;
}
#endif
generated by cgit (git 2.34.1) at 2024-05-06 02:59:17 +0000