323 lines
8.3 KiB
C
323 lines
8.3 KiB
C
/*
|
|
* Copyright (c) 2003, 2007-14 Matteo Frigo
|
|
* Copyright (c) 2003, 2007-14 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
|
*
|
|
*/
|
|
|
|
/* express a hc2hc problem in terms of rdft + multiplication by
|
|
twiddle factors */
|
|
|
|
#include "rdft/hc2hc.h"
|
|
|
|
typedef hc2hc_solver S;
|
|
|
|
typedef struct {
|
|
plan_hc2hc super;
|
|
|
|
INT r, m, s, vl, vs, mstart1, mcount1;
|
|
plan *cld0;
|
|
plan *cld;
|
|
twid *td;
|
|
} P;
|
|
|
|
|
|
/**************************************************************/
|
|
static void mktwiddle(P *ego, enum wakefulness wakefulness)
|
|
{
|
|
static const tw_instr tw[] = { { TW_HALF, 0, 0 }, { TW_NEXT, 1, 0 } };
|
|
|
|
/* note that R and M are swapped, to allow for sequential
|
|
access both to data and twiddles */
|
|
X(twiddle_awake)(wakefulness, &ego->td, tw,
|
|
ego->r * ego->m, ego->m, ego->r);
|
|
}
|
|
|
|
static void bytwiddle(const P *ego, R *IO, R sign)
|
|
{
|
|
INT i, j, k;
|
|
INT r = ego->r, m = ego->m, s = ego->s, vl = ego->vl, vs = ego->vs;
|
|
INT ms = m * s;
|
|
INT mstart1 = ego->mstart1, mcount1 = ego->mcount1;
|
|
INT wrem = 2 * ((m-1)/2 - mcount1);
|
|
|
|
for (i = 0; i < vl; ++i, IO += vs) {
|
|
const R *W = ego->td->W;
|
|
|
|
A(m % 2 == 1);
|
|
for (k = 1, W += (m - 1) + 2*(mstart1-1); k < r; ++k) {
|
|
/* pr := IO + (j + mstart1) * s + k * ms */
|
|
R *pr = IO + mstart1 * s + k * ms;
|
|
|
|
/* pi := IO + (m - j - mstart1) * s + k * ms */
|
|
R *pi = IO - mstart1 * s + (k + 1) * ms;
|
|
|
|
for (j = 0; j < mcount1; ++j, pr += s, pi -= s) {
|
|
E xr = *pr;
|
|
E xi = *pi;
|
|
E wr = W[0];
|
|
E wi = sign * W[1];
|
|
*pr = xr * wr - xi * wi;
|
|
*pi = xi * wr + xr * wi;
|
|
W += 2;
|
|
}
|
|
W += wrem;
|
|
}
|
|
}
|
|
}
|
|
|
|
static void swapri(R *IO, INT r, INT m, INT s, INT jstart, INT jend)
|
|
{
|
|
INT k;
|
|
INT ms = m * s;
|
|
INT js = jstart * s;
|
|
for (k = 0; k + k < r; ++k) {
|
|
/* pr := IO + (m - j) * s + k * ms */
|
|
R *pr = IO + (k + 1) * ms - js;
|
|
/* pi := IO + (m - j) * s + (r - 1 - k) * ms */
|
|
R *pi = IO + (r - k) * ms - js;
|
|
INT j;
|
|
for (j = jstart; j < jend; j += 1, pr -= s, pi -= s) {
|
|
R t = *pr;
|
|
*pr = *pi;
|
|
*pi = t;
|
|
}
|
|
}
|
|
}
|
|
|
|
static void reorder_dit(const P *ego, R *IO)
|
|
{
|
|
INT i, k;
|
|
INT r = ego->r, m = ego->m, s = ego->s, vl = ego->vl, vs = ego->vs;
|
|
INT ms = m * s;
|
|
INT mstart1 = ego->mstart1, mend1 = mstart1 + ego->mcount1;
|
|
|
|
for (i = 0; i < vl; ++i, IO += vs) {
|
|
for (k = 1; k + k < r; ++k) {
|
|
R *p0 = IO + k * ms;
|
|
R *p1 = IO + (r - k) * ms;
|
|
INT j;
|
|
|
|
for (j = mstart1; j < mend1; ++j) {
|
|
E rp, ip, im, rm;
|
|
rp = p0[j * s];
|
|
im = p1[ms - j * s];
|
|
rm = p1[j * s];
|
|
ip = p0[ms - j * s];
|
|
p0[j * s] = rp - im;
|
|
p1[ms - j * s] = rp + im;
|
|
p1[j * s] = rm - ip;
|
|
p0[ms - j * s] = ip + rm;
|
|
}
|
|
}
|
|
|
|
swapri(IO, r, m, s, mstart1, mend1);
|
|
}
|
|
}
|
|
|
|
static void reorder_dif(const P *ego, R *IO)
|
|
{
|
|
INT i, k;
|
|
INT r = ego->r, m = ego->m, s = ego->s, vl = ego->vl, vs = ego->vs;
|
|
INT ms = m * s;
|
|
INT mstart1 = ego->mstart1, mend1 = mstart1 + ego->mcount1;
|
|
|
|
for (i = 0; i < vl; ++i, IO += vs) {
|
|
swapri(IO, r, m, s, mstart1, mend1);
|
|
|
|
for (k = 1; k + k < r; ++k) {
|
|
R *p0 = IO + k * ms;
|
|
R *p1 = IO + (r - k) * ms;
|
|
const R half = K(0.5);
|
|
INT j;
|
|
|
|
for (j = mstart1; j < mend1; ++j) {
|
|
E rp, ip, im, rm;
|
|
rp = half * p0[j * s];
|
|
im = half * p1[ms - j * s];
|
|
rm = half * p1[j * s];
|
|
ip = half * p0[ms - j * s];
|
|
p0[j * s] = rp + im;
|
|
p1[ms - j * s] = im - rp;
|
|
p1[j * s] = rm + ip;
|
|
p0[ms - j * s] = ip - rm;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
static int applicable(rdft_kind kind, INT r, INT m, const planner *plnr)
|
|
{
|
|
return (1
|
|
&& (kind == R2HC || kind == HC2R)
|
|
&& (m % 2)
|
|
&& (r % 2)
|
|
&& !NO_SLOWP(plnr)
|
|
);
|
|
}
|
|
|
|
/**************************************************************/
|
|
|
|
static void apply_dit(const plan *ego_, R *IO)
|
|
{
|
|
const P *ego = (const P *) ego_;
|
|
INT start;
|
|
plan_rdft *cld, *cld0;
|
|
|
|
bytwiddle(ego, IO, K(-1.0));
|
|
|
|
cld0 = (plan_rdft *) ego->cld0;
|
|
cld0->apply(ego->cld0, IO, IO);
|
|
|
|
start = ego->mstart1 * ego->s;
|
|
cld = (plan_rdft *) ego->cld;
|
|
cld->apply(ego->cld, IO + start, IO + start);
|
|
|
|
reorder_dit(ego, IO);
|
|
}
|
|
|
|
static void apply_dif(const plan *ego_, R *IO)
|
|
{
|
|
const P *ego = (const P *) ego_;
|
|
INT start;
|
|
plan_rdft *cld, *cld0;
|
|
|
|
reorder_dif(ego, IO);
|
|
|
|
cld0 = (plan_rdft *) ego->cld0;
|
|
cld0->apply(ego->cld0, IO, IO);
|
|
|
|
start = ego->mstart1 * ego->s;
|
|
cld = (plan_rdft *) ego->cld;
|
|
cld->apply(ego->cld, IO + start, IO + start);
|
|
|
|
bytwiddle(ego, IO, K(1.0));
|
|
}
|
|
|
|
|
|
static void awake(plan *ego_, enum wakefulness wakefulness)
|
|
{
|
|
P *ego = (P *) ego_;
|
|
X(plan_awake)(ego->cld0, wakefulness);
|
|
X(plan_awake)(ego->cld, wakefulness);
|
|
mktwiddle(ego, wakefulness);
|
|
}
|
|
|
|
static void destroy(plan *ego_)
|
|
{
|
|
P *ego = (P *) ego_;
|
|
X(plan_destroy_internal)(ego->cld);
|
|
X(plan_destroy_internal)(ego->cld0);
|
|
}
|
|
|
|
static void print(const plan *ego_, printer *p)
|
|
{
|
|
const P *ego = (const P *) ego_;
|
|
p->print(p, "(hc2hc-generic-%s-%D-%D%v%(%p%)%(%p%))",
|
|
ego->super.apply == apply_dit ? "dit" : "dif",
|
|
ego->r, ego->m, ego->vl, ego->cld0, ego->cld);
|
|
}
|
|
|
|
static plan *mkcldw(const hc2hc_solver *ego_,
|
|
rdft_kind kind, INT r, INT m, INT s, INT vl, INT vs,
|
|
INT mstart, INT mcount,
|
|
R *IO, planner *plnr)
|
|
{
|
|
P *pln;
|
|
plan *cld0 = 0, *cld = 0;
|
|
INT mstart1, mcount1, mstride;
|
|
|
|
static const plan_adt padt = {
|
|
0, awake, print, destroy
|
|
};
|
|
|
|
UNUSED(ego_);
|
|
|
|
A(mstart >= 0 && mcount > 0 && mstart + mcount <= (m+2)/2);
|
|
|
|
if (!applicable(kind, r, m, plnr))
|
|
return (plan *)0;
|
|
|
|
A(m % 2);
|
|
mstart1 = mstart + (mstart == 0);
|
|
mcount1 = mcount - (mstart == 0);
|
|
mstride = m - (mstart + mcount - 1) - mstart1;
|
|
|
|
/* 0th (DC) transform (vl of these), if mstart == 0 */
|
|
cld0 = X(mkplan_d)(plnr,
|
|
X(mkproblem_rdft_1_d)(
|
|
mstart == 0 ? X(mktensor_1d)(r, m * s, m * s)
|
|
: X(mktensor_0d)(),
|
|
X(mktensor_1d)(vl, vs, vs),
|
|
IO, IO, kind)
|
|
);
|
|
if (!cld0) goto nada;
|
|
|
|
/* twiddle transforms: there are 2 x mcount1 x vl of these
|
|
(where 2 corresponds to the real and imaginary parts) ...
|
|
the 2 x mcount1 loops are combined if mstart=0 and mcount=(m+2)/2. */
|
|
cld = X(mkplan_d)(plnr,
|
|
X(mkproblem_rdft_1_d)(
|
|
X(mktensor_1d)(r, m * s, m * s),
|
|
X(mktensor_3d)(2, mstride * s, mstride * s,
|
|
mcount1, s, s,
|
|
vl, vs, vs),
|
|
IO + s * mstart1, IO + s * mstart1, kind)
|
|
);
|
|
if (!cld) goto nada;
|
|
|
|
pln = MKPLAN_HC2HC(P, &padt, (kind == R2HC) ? apply_dit : apply_dif);
|
|
pln->cld = cld;
|
|
pln->cld0 = cld0;
|
|
pln->r = r;
|
|
pln->m = m;
|
|
pln->s = s;
|
|
pln->vl = vl;
|
|
pln->vs = vs;
|
|
pln->td = 0;
|
|
pln->mstart1 = mstart1;
|
|
pln->mcount1 = mcount1;
|
|
|
|
{
|
|
double n0 = 0.5 * (r - 1) * (2 * mcount1) * vl;
|
|
pln->super.super.ops = cld->ops;
|
|
pln->super.super.ops.mul += (kind == R2HC ? 5.0 : 7.0) * n0;
|
|
pln->super.super.ops.add += 4.0 * n0;
|
|
pln->super.super.ops.other += 11.0 * n0;
|
|
}
|
|
return &(pln->super.super);
|
|
|
|
nada:
|
|
X(plan_destroy_internal)(cld);
|
|
X(plan_destroy_internal)(cld0);
|
|
return (plan *) 0;
|
|
}
|
|
|
|
static void regsolver(planner *plnr, INT r)
|
|
{
|
|
S *slv = (S *)X(mksolver_hc2hc)(sizeof(S), r, mkcldw);
|
|
REGISTER_SOLVER(plnr, &(slv->super));
|
|
if (X(mksolver_hc2hc_hook)) {
|
|
slv = (S *)X(mksolver_hc2hc_hook)(sizeof(S), r, mkcldw);
|
|
REGISTER_SOLVER(plnr, &(slv->super));
|
|
}
|
|
}
|
|
|
|
void X(hc2hc_generic_register)(planner *p)
|
|
{
|
|
regsolver(p, 0);
|
|
}
|