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path: root/libtommath/bn_mp_toom_mul.c
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-rw-r--r--libtommath/bn_mp_toom_mul.c454
1 files changed, 227 insertions, 227 deletions
diff --git a/libtommath/bn_mp_toom_mul.c b/libtommath/bn_mp_toom_mul.c
index 4a574fc..8b771bc 100644
--- a/libtommath/bn_mp_toom_mul.c
+++ b/libtommath/bn_mp_toom_mul.c
@@ -24,259 +24,259 @@
*/
int mp_toom_mul(mp_int *a, mp_int *b, mp_int *c)
{
- mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2;
- int res, B;
+ mp_int w0, w1, w2, w3, w4, tmp1, tmp2, a0, a1, a2, b0, b1, b2;
+ int res, B;
- /* init temps */
- if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4,
- &a0, &a1, &a2, &b0, &b1,
- &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) {
- return res;
- }
+ /* init temps */
+ if ((res = mp_init_multi(&w0, &w1, &w2, &w3, &w4,
+ &a0, &a1, &a2, &b0, &b1,
+ &b2, &tmp1, &tmp2, NULL)) != MP_OKAY) {
+ return res;
+ }
- /* B */
- B = MIN(a->used, b->used) / 3;
+ /* B */
+ B = MIN(a->used, b->used) / 3;
- /* a = a2 * B**2 + a1 * B + a0 */
- if ((res = mp_mod_2d(a, DIGIT_BIT * B, &a0)) != MP_OKAY) {
- goto ERR;
- }
+ /* 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);
- if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) {
- goto ERR;
- }
+ if ((res = mp_copy(a, &a1)) != MP_OKAY) {
+ goto ERR;
+ }
+ mp_rshd(&a1, B);
+ if ((res = mp_mod_2d(&a1, DIGIT_BIT * B, &a1)) != MP_OKAY) {
+ goto ERR;
+ }
- if ((res = mp_copy(a, &a2)) != MP_OKAY) {
- goto ERR;
- }
- mp_rshd(&a2, B*2);
+ if ((res = mp_copy(a, &a2)) != MP_OKAY) {
+ goto ERR;
+ }
+ mp_rshd(&a2, B*2);
- /* b = b2 * B**2 + b1 * B + b0 */
- if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) {
- goto ERR;
- }
+ /* b = b2 * B**2 + b1 * B + b0 */
+ if ((res = mp_mod_2d(b, DIGIT_BIT * B, &b0)) != MP_OKAY) {
+ goto ERR;
+ }
- if ((res = mp_copy(b, &b1)) != MP_OKAY) {
- goto ERR;
- }
- mp_rshd(&b1, B);
- (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1);
+ if ((res = mp_copy(b, &b1)) != MP_OKAY) {
+ goto ERR;
+ }
+ mp_rshd(&b1, B);
+ (void)mp_mod_2d(&b1, DIGIT_BIT * B, &b1);
- if ((res = mp_copy(b, &b2)) != MP_OKAY) {
- goto ERR;
- }
- mp_rshd(&b2, B*2);
+ if ((res = mp_copy(b, &b2)) != MP_OKAY) {
+ goto ERR;
+ }
+ mp_rshd(&b2, B*2);
- /* w0 = a0*b0 */
- if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) {
- goto ERR;
- }
+ /* w0 = a0*b0 */
+ if ((res = mp_mul(&a0, &b0, &w0)) != MP_OKAY) {
+ goto ERR;
+ }
- /* w4 = a2 * b2 */
- if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) {
- goto ERR;
- }
+ /* w4 = a2 * b2 */
+ if ((res = mp_mul(&a2, &b2, &w4)) != MP_OKAY) {
+ goto ERR;
+ }
- /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */
- 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;
- }
+ /* w1 = (a2 + 2(a1 + 2a0))(b2 + 2(b1 + 2b0)) */
+ 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_mul_2(&b0, &tmp2)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) {
- goto ERR;
- }
+ if ((res = mp_mul_2(&b0, &tmp2)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&tmp2, &b2, &tmp2)) != MP_OKAY) {
+ goto ERR;
+ }
- if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) {
- goto ERR;
- }
+ if ((res = mp_mul(&tmp1, &tmp2, &w1)) != MP_OKAY) {
+ goto ERR;
+ }
- /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */
- 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;
- }
+ /* w3 = (a0 + 2(a1 + 2a2))(b0 + 2(b1 + 2b2)) */
+ 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_mul_2(&b2, &tmp2)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) {
- goto ERR;
- }
+ if ((res = mp_mul_2(&b2, &tmp2)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&tmp2, &b1, &tmp2)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_mul_2(&tmp2, &tmp2)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) {
+ goto ERR;
+ }
- if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) {
- goto ERR;
- }
+ if ((res = mp_mul(&tmp1, &tmp2, &w3)) != MP_OKAY) {
+ goto ERR;
+ }
- /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */
- 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_add(&b2, &b1, &tmp2)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) {
- goto ERR;
- }
- if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) {
- goto ERR;
- }
+ /* w2 = (a2 + a1 + a0)(b2 + b1 + b0) */
+ 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_add(&b2, &b1, &tmp2)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_add(&tmp2, &b0, &tmp2)) != MP_OKAY) {
+ goto ERR;
+ }
+ if ((res = mp_mul(&tmp1, &tmp2, &w2)) != MP_OKAY) {
+ goto ERR;
+ }
- /* now solve the matrix
+ /* 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
+ 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
- */
+ 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;
- }
+ /* 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;
- }
+ /* 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, c)) != 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, c, c)) != MP_OKAY) {
- goto ERR;
- }
+ if ((res = mp_add(&w0, &w1, c)) != 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, c, c)) != MP_OKAY) {
+ goto ERR;
+ }
ERR:
- mp_clear_multi(&w0, &w1, &w2, &w3, &w4,
- &a0, &a1, &a2, &b0, &b1,
- &b2, &tmp1, &tmp2, NULL);
- return res;
+ mp_clear_multi(&w0, &w1, &w2, &w3, &w4,
+ &a0, &a1, &a2, &b0, &b1,
+ &b2, &tmp1, &tmp2, NULL);
+ return res;
}
#endif
generated by cgit v0.12 at 2024-11-11 16:25:18 (GMT)