1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889909192 |
- #include "tommath_private.h"
- #ifdef BN_MP_GCD_C
- /* LibTomMath, multiple-precision integer library -- Tom St Denis */
- /* SPDX-License-Identifier: Unlicense */
- /* Greatest Common Divisor using the binary method */
- mp_err mp_gcd(const mp_int *a, const mp_int *b, mp_int *c)
- {
- mp_int u, v;
- int k, u_lsb, v_lsb;
- mp_err err;
- /* either zero than gcd is the largest */
- if (MP_IS_ZERO(a)) {
- return mp_abs(b, c);
- }
- if (MP_IS_ZERO(b)) {
- return mp_abs(a, c);
- }
- /* get copies of a and b we can modify */
- if ((err = mp_init_copy(&u, a)) != MP_OKAY) {
- return err;
- }
- if ((err = mp_init_copy(&v, b)) != MP_OKAY) {
- goto LBL_U;
- }
- /* must be positive for the remainder of the algorithm */
- u.sign = v.sign = MP_ZPOS;
- /* B1. Find the common power of two for u and v */
- u_lsb = mp_cnt_lsb(&u);
- v_lsb = mp_cnt_lsb(&v);
- k = MP_MIN(u_lsb, v_lsb);
- if (k > 0) {
- /* divide the power of two out */
- if ((err = mp_div_2d(&u, k, &u, NULL)) != MP_OKAY) {
- goto LBL_V;
- }
- if ((err = mp_div_2d(&v, k, &v, NULL)) != MP_OKAY) {
- goto LBL_V;
- }
- }
- /* divide any remaining factors of two out */
- if (u_lsb != k) {
- if ((err = mp_div_2d(&u, u_lsb - k, &u, NULL)) != MP_OKAY) {
- goto LBL_V;
- }
- }
- if (v_lsb != k) {
- if ((err = mp_div_2d(&v, v_lsb - k, &v, NULL)) != MP_OKAY) {
- goto LBL_V;
- }
- }
- while (!MP_IS_ZERO(&v)) {
- /* make sure v is the largest */
- if (mp_cmp_mag(&u, &v) == MP_GT) {
- /* swap u and v to make sure v is >= u */
- mp_exch(&u, &v);
- }
- /* subtract smallest from largest */
- if ((err = s_mp_sub(&v, &u, &v)) != MP_OKAY) {
- goto LBL_V;
- }
- /* Divide out all factors of two */
- if ((err = mp_div_2d(&v, mp_cnt_lsb(&v), &v, NULL)) != MP_OKAY) {
- goto LBL_V;
- }
- }
- /* multiply by 2**k which we divided out at the beginning */
- if ((err = mp_mul_2d(&u, k, c)) != MP_OKAY) {
- goto LBL_V;
- }
- c->sign = MP_ZPOS;
- err = MP_OKAY;
- LBL_V:
- mp_clear(&u);
- LBL_U:
- mp_clear(&v);
- return err;
- }
- #endif
|