84 lines
1.9 KiB
C
84 lines
1.9 KiB
C
#include <tommath_private.h>
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#ifdef BN_MP_SQRT_C
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/* LibTomMath, multiple-precision integer library -- Tom St Denis
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*
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* LibTomMath is a library that provides multiple-precision
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* integer arithmetic as well as number theoretic functionality.
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*
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* The library was designed directly after the MPI library by
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* Michael Fromberger but has been written from scratch with
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* additional optimizations in place.
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*
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* The library is free for all purposes without any express
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* guarantee it works.
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*
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* Tom St Denis, tstdenis82@gmail.com, http://libtom.org
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*/
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/* this function is less generic than mp_n_root, simpler and faster */
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int mp_sqrt(mp_int *arg, mp_int *ret)
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{
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int res;
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mp_int t1, t2;
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/* must be positive */
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if (arg->sign == MP_NEG) {
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return MP_VAL;
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}
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/* easy out */
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if (mp_iszero(arg) == MP_YES) {
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mp_zero(ret);
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return MP_OKAY;
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}
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if ((res = mp_init_copy(&t1, arg)) != MP_OKAY) {
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return res;
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}
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if ((res = mp_init(&t2)) != MP_OKAY) {
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goto E2;
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}
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/* First approx. (not very bad for large arg) */
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mp_rshd(&t1, t1.used/2);
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/* t1 > 0 */
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if ((res = mp_div(arg, &t1, &t2, NULL)) != MP_OKAY) {
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goto E1;
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}
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if ((res = mp_add(&t1, &t2, &t1)) != MP_OKAY) {
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goto E1;
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}
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if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) {
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goto E1;
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}
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/* And now t1 > sqrt(arg) */
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do {
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if ((res = mp_div(arg, &t1, &t2, NULL)) != MP_OKAY) {
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goto E1;
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}
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if ((res = mp_add(&t1, &t2, &t1)) != MP_OKAY) {
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goto E1;
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}
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if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) {
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goto E1;
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}
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/* t1 >= sqrt(arg) >= t2 at this point */
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} while (mp_cmp_mag(&t1, &t2) == MP_GT);
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mp_exch(&t1, ret);
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E1:
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mp_clear(&t2);
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E2:
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mp_clear(&t1);
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return res;
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}
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#endif
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/* ref: $Format:%D$ */
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/* git commit: $Format:%H$ */
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/* commit time: $Format:%ai$ */
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