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-rw-r--r--libtommath/bn_mp_toom_mul.c286
1 files changed, 0 insertions, 286 deletions
diff --git a/libtommath/bn_mp_toom_mul.c b/libtommath/bn_mp_toom_mul.c
deleted file mode 100644
index 4a574fc..0000000
--- a/libtommath/bn_mp_toom_mul.c
+++ /dev/null
@@ -1,286 +0,0 @@
-#include <tommath_private.h>
-#ifdef BN_MP_TOOM_MUL_C
-/* 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, tstdenis82@gmail.com, http://libtom.org
- */
-
-/* multiplication using the Toom-Cook 3-way algorithm
- *
- * Much more complicated than Karatsuba but has a lower
- * asymptotic running time of O(N**1.464). This algorithm is
- * only particularly useful on VERY large inputs
- * (we're talking 1000s of digits here...).
-*/
-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;
-
- /* 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;
-
- /* 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, &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;
- }
-
- 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);
-
- /* 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;
- }
-
- /* 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(&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;
- }
-
- 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;
- }
-
-
- /* 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
-
- 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, 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;
-}
-
-#endif
-
-/* ref: $Format:%D$ */
-/* git commit: $Format:%H$ */
-/* commit time: $Format:%ai$ */
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