arb/acb_dft/naive.c

97 lines
2.2 KiB
C

/*
Copyright (C) 2016 Pascal Molin
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "acb_poly.h"
#include "acb_dft.h"
/* all roots are already computed, w != v */
void
_acb_dft_naive(acb_ptr w, acb_srcptr v, slong dv, acb_srcptr z, slong dz, slong len, slong prec)
{
slong i, j;
acb_ptr wi, v1 = NULL;
acb_srcptr vj;
if (w == v)
{
flint_printf("\n_acb_dft_naive: does not accept aliasing\n");
abort();
}
for (i = 0, wi = w; i < len; i++, wi++)
{
acb_zero(wi);
for (j = 0, vj = v; j < len; j++, vj += dv)
acb_addmul(wi, vj, z + dz * (i * j % len), prec);
}
if (v1)
_acb_vec_clear(v1, len);
}
void
acb_dft_naive_precomp(acb_ptr w, acb_srcptr v, const acb_dft_naive_t pol, slong prec)
{
if (v == w)
{
acb_ptr v1 = _acb_vec_init(pol->n);
_acb_vec_set(v1, v, pol->n);
_acb_dft_naive(w, v1, pol->dv, pol->z, pol->dz, pol->n, prec);
_acb_vec_clear(v1, pol->n);
}
else
_acb_dft_naive(w, v, pol->dv, pol->z, pol->dz, pol->n, prec);
}
void
acb_dft_naive(acb_ptr w, acb_srcptr v, slong len, slong prec)
{
acb_ptr z, v1 = NULL;
z = _acb_vec_init(len);
_acb_vec_unit_roots(z, -len, len, prec);
if (w == v)
{
v1 = _acb_vec_init(len);
_acb_vec_set(v1, v, len);
v = v1;
}
_acb_dft_naive(w, v, 1, z, 1, len, prec);
if (v1)
_acb_vec_clear(v1, len);
_acb_vec_clear(z, len);
}
void
_acb_dft_naive_init(acb_dft_naive_t pol, slong dv, acb_ptr z, slong dz, slong len, slong prec)
{
pol->n = len;
pol->dv = dv;
if (z == NULL)
{
if (DFT_VERB)
flint_printf("dft_naive: init z[%wd]\n",len);
pol->z = _acb_vec_init(len);
_acb_vec_unit_roots(pol->z, -len, len, prec);
pol->dz = 1;
pol->zclear = 1;
}
else
{
pol->z = z;
pol->dz = dz;
pol->zclear = 0;
}
}