Comments (1)
Yes, my implementation in libgmp is as follows:
#include <gmp.h>
#include <assert.h>
mp_bitcnt_t mpz_ctz(const mpz_t n)
{
return mpz_scan1(n, 0);
}
void mpz_divexact_by3(mpz_t q)
{
size_t n = mpz_size(q);
mp_limb_t *lq = mpz_limbs_modify(q, n);
mpn_divexact_by3(lq, lq, n);
mpz_limbs_finish(q, n);
}
void mul(mpz_t m, const mpz_t a)
{
assert(mpz_odd_p(m));
if (mpz_cmp_ui(m, 1UL) == 0) {
mpz_set(m, a);
return;
}
mpz_addmul_ui(m, m, 2);
mpz_add_ui(m, m, 1);
mp_bitcnt_t beta = mpz_ctz(m);
mpz_fdiv_q_2exp(m, m, beta);
mul(m, a);
mpz_mul_2exp(m, m, beta);
mpz_sub(m, m, a);
mpz_divexact_by3(m);
}
If you are interested in a speed measurement program, you can find it here.
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