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-rw-r--r--src/fftw3/reodft/redft00e-r2hc-pad.c201
1 files changed, 201 insertions, 0 deletions
diff --git a/src/fftw3/reodft/redft00e-r2hc-pad.c b/src/fftw3/reodft/redft00e-r2hc-pad.c
new file mode 100644
index 0000000..ec3fa35
--- /dev/null
+++ b/src/fftw3/reodft/redft00e-r2hc-pad.c
@@ -0,0 +1,201 @@
+/*
+ * 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: redft00e-r2hc-pad.c,v 1.1 2008/10/17 06:13:18 scuri Exp $ */
+
+/* Do a REDFT00 problem via an R2HC problem, padded symmetrically to
+ twice the size. This is asymptotically a factor of ~2 worse than
+ redft00e-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] = I[0];
+ for (i = 1; i < n; ++i) {
+ R a = I[i * is];
+ buf[i] = a;
+ buf[2*n - i] = a;
+ }
+ buf[i] = I[i * is]; /* 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 (real parts of hc array) from buf to O */
+ {
+ plan_rdft *cldcpy = (plan_rdft *) ego->cldcpy;
+ cldcpy->apply((plan *) cldcpy, buf, 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, "(redft00e-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] == REDFT00
+ && p->sz->dims[0].n > 1 /* n == 1 is not well-defined */
+ );
+ }
+
+ 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, 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 + 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(redft00e_r2hc_pad_register)(planner *p)
+{
+ REGISTER_SOLVER(p, mksolver());
+}