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/*
* Copyright (c) 2003 Matteo Frigo
* Copyright (c) 2003 Massachusetts Institute of Technology
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
*/
/* $Id: rodft00e-r2hc-pad.c,v 1.1 2008/10/17 06:13:18 scuri Exp $ */
/* Do a RODFT00 problem via an R2HC problem, padded antisymmetrically to
twice the size. This is asymptotically a factor of ~2 worse than
rodft00e-r2hc.c (the algorithm used in e.g. FFTPACK and Numerical
Recipes), but we abandoned the latter after we discovered that it
has intrinsic accuracy problems. */
#include "reodft.h"
typedef struct {
solver super;
} S;
typedef struct {
plan_rdft super;
plan *cld, *cldcpy;
int is;
int n;
int vl;
int ivs, ovs;
} P;
static void apply(const plan *ego_, R *I, R *O)
{
const P *ego = (const P *) ego_;
int is = ego->is;
int i, n = ego->n;
int iv, vl = ego->vl;
int ivs = ego->ivs, ovs = ego->ovs;
R *buf;
buf = (R *) MALLOC(sizeof(R) * (2*n), BUFFERS);
for (iv = 0; iv < vl; ++iv, I += ivs, O += ovs) {
buf[0] = 0.0;
for (i = 1; i < n; ++i) {
R a = I[(i-1) * is];
buf[i] = -a;
buf[2*n - i] = a;
}
buf[i] = 0.0; /* i == n, Nyquist */
/* r2hc transform of size 2*n */
{
plan_rdft *cld = (plan_rdft *) ego->cld;
cld->apply((plan *) cld, buf, buf);
}
/* copy n-1 real numbers (imag. parts of hc array) from buf to O */
{
plan_rdft *cldcpy = (plan_rdft *) ego->cldcpy;
cldcpy->apply((plan *) cldcpy, buf+2*n-1, O);
}
}
X(ifree)(buf);
}
static void awake(plan *ego_, int flg)
{
P *ego = (P *) ego_;
AWAKE(ego->cld, flg);
AWAKE(ego->cldcpy, flg);
}
static void destroy(plan *ego_)
{
P *ego = (P *) ego_;
X(plan_destroy_internal)(ego->cldcpy);
X(plan_destroy_internal)(ego->cld);
}
static void print(const plan *ego_, printer *p)
{
const P *ego = (const P *) ego_;
p->print(p, "(rodft00e-r2hc-pad-%d%v%(%p%)%(%p%))",
ego->n - 1, ego->vl, ego->cld, ego->cldcpy);
}
static int applicable0(const solver *ego_, const problem *p_)
{
UNUSED(ego_);
if (RDFTP(p_)) {
const problem_rdft *p = (const problem_rdft *) p_;
return (1
&& p->sz->rnk == 1
&& p->vecsz->rnk <= 1
&& p->kind[0] == RODFT00
);
}
return 0;
}
static int applicable(const solver *ego, const problem *p, const planner *plnr)
{
return (!NO_UGLYP(plnr) && applicable0(ego, p));
}
static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr)
{
P *pln;
const problem_rdft *p;
plan *cld = (plan *) 0, *cldcpy;
R *buf = (R *) 0;
int n;
int vl, ivs, ovs;
opcnt ops;
static const plan_adt padt = {
X(rdft_solve), awake, print, destroy
};
if (!applicable(ego_, p_, plnr))
goto nada;
p = (const problem_rdft *) p_;
n = p->sz->dims[0].n + 1;
A(n > 0);
buf = (R *) MALLOC(sizeof(R) * (2*n), BUFFERS);
cld = X(mkplan_d)(plnr,X(mkproblem_rdft_1_d)(X(mktensor_1d)(2*n,1,1),
X(mktensor_0d)(),
buf, buf, R2HC));
if (!cld)
goto nada;
X(tensor_tornk1)(p->vecsz, &vl, &ivs, &ovs);
cldcpy =
X(mkplan_d)(plnr,
X(mkproblem_rdft_1_d)(X(mktensor_0d)(),
X(mktensor_1d)(n-1,-1,
p->sz->dims[0].os),
buf+2*n-1,TAINT(p->O, ovs), R2HC));
if (!cldcpy)
goto nada;
X(ifree)(buf);
pln = MKPLAN_RDFT(P, &padt, apply);
pln->n = n;
pln->is = p->sz->dims[0].is;
pln->cld = cld;
pln->cldcpy = cldcpy;
pln->vl = vl;
pln->ivs = ivs;
pln->ovs = ovs;
X(ops_zero)(&ops);
ops.other = n-1 + 2*n; /* loads + stores (input -> buf) */
X(ops_zero)(&pln->super.super.ops);
X(ops_madd2)(pln->vl, &ops, &pln->super.super.ops);
X(ops_madd2)(pln->vl, &cld->ops, &pln->super.super.ops);
X(ops_madd2)(pln->vl, &cldcpy->ops, &pln->super.super.ops);
return &(pln->super.super);
nada:
X(ifree0)(buf);
if (cld)
X(plan_destroy_internal)(cld);
return (plan *)0;
}
/* constructor */
static solver *mksolver(void)
{
static const solver_adt sadt = { mkplan };
S *slv = MKSOLVER(S, &sadt);
return &(slv->super);
}
void X(rodft00e_r2hc_pad_register)(planner *p)
{
REGISTER_SOLVER(p, mksolver());
}
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