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diff --git a/src/fftw3/rdft/rrank-geq2.c b/src/fftw3/rdft/rrank-geq2.c
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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: rrank-geq2.c,v 1.1 2008/10/17 06:11:29 scuri Exp $ */
+
+/* plans for RDFT of rank >= 2 (multidimensional) */
+
+/* FIXME: this solver cannot strictly be applied to multidimensional
+ DHTs, since the latter are not separable...up to rnk-1 additional
+ post-processing passes may be required. See also:
+
+ R. N. Bracewell, O. Buneman, H. Hao, and J. Villasenor, "Fast
+ two-dimensional Hartley transform," Proc. IEEE 74, 1282-1283 (1986).
+
+ H. Hao and R. N. Bracewell, "A three-dimensional DFT algorithm
+ using the fast Hartley transform," Proc. IEEE 75(2), 264-266 (1987).
+*/
+
+#include "rdft.h"
+
+typedef struct {
+ solver super;
+ int spltrnk;
+ const int *buddies;
+ int nbuddies;
+} S;
+
+typedef struct {
+ plan_rdft super;
+
+ plan *cld1, *cld2;
+ const S *solver;
+} P;
+
+/* Compute multi-dimensional RDFT by applying the two cld plans
+ (lower-rnk RDFTs). */
+static void apply(const plan *ego_, R *I, R *O)
+{
+ const P *ego = (const P *) ego_;
+ plan_rdft *cld1, *cld2;
+
+ cld1 = (plan_rdft *) ego->cld1;
+ cld1->apply(ego->cld1, I, O);
+
+ cld2 = (plan_rdft *) ego->cld2;
+ cld2->apply(ego->cld2, O, O);
+}
+
+
+static void awake(plan *ego_, int flg)
+{
+ P *ego = (P *) ego_;
+ AWAKE(ego->cld1, flg);
+ AWAKE(ego->cld2, flg);
+}
+
+static void destroy(plan *ego_)
+{
+ P *ego = (P *) ego_;
+ X(plan_destroy_internal)(ego->cld2);
+ X(plan_destroy_internal)(ego->cld1);
+}
+
+static void print(const plan *ego_, printer *p)
+{
+ const P *ego = (const P *) ego_;
+ const S *s = ego->solver;
+ p->print(p, "(rdft-rank>=2/%d%(%p%)%(%p%))",
+ s->spltrnk, ego->cld1, ego->cld2);
+}
+
+static int picksplit(const S *ego, const tensor *sz, int *rp)
+{
+ A(sz->rnk > 1); /* cannot split rnk <= 1 */
+ if (!X(pickdim)(ego->spltrnk, ego->buddies, ego->nbuddies, sz, 1, rp))
+ return 0;
+ *rp += 1; /* convert from dim. index to rank */
+ if (*rp >= sz->rnk) /* split must reduce rank */
+ return 0;
+ return 1;
+}
+
+static int applicable0(const solver *ego_, const problem *p_, int *rp)
+{
+ if (RDFTP(p_)) {
+ const problem_rdft *p = (const problem_rdft *) p_;
+ const S *ego = (const S *)ego_;
+ return (1
+ && p->sz->rnk >= 2
+ && picksplit(ego, p->sz, rp)
+ );
+ }
+
+ return 0;
+}
+
+/* TODO: revise this. */
+static int applicable(const solver *ego_, const problem *p_,
+ const planner *plnr, int *rp)
+{
+ const S *ego = (const S *)ego_;
+
+ if (!applicable0(ego_, p_, rp)) return 0;
+
+ /* fixed spltrnk (unlike fftw2's spltrnk=1, default buddies[0] is
+ spltrnk=0, which is an asymptotic "theoretical optimum" for
+ an ideal cache; it's equivalent to spltrnk=1 for rnk < 4). */
+ if (NO_RANK_SPLITSP(plnr) && (ego->spltrnk != ego->buddies[0]))
+ return 0;
+
+ if (NO_UGLYP(plnr)) {
+ /* Heuristic: if the vector stride is greater than the transform
+ sz, don't use (prefer to do the vector loop first with a
+ vrank-geq1 plan). */
+ const problem_rdft *p = (const problem_rdft *) p_;
+
+ if (p->vecsz->rnk > 0 &&
+ X(tensor_min_stride)(p->vecsz) > X(tensor_max_index)(p->sz))
+ return 0;
+ }
+
+ return 1;
+}
+
+static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr)
+{
+ const S *ego = (const S *) ego_;
+ const problem_rdft *p;
+ P *pln;
+ plan *cld1 = 0, *cld2 = 0;
+ tensor *sz1, *sz2, *vecszi, *sz2i;
+ int spltrnk;
+
+ static const plan_adt padt = {
+ X(rdft_solve), awake, print, destroy
+ };
+
+ if (!applicable(ego_, p_, plnr, &spltrnk))
+ return (plan *) 0;
+
+ p = (const problem_rdft *) p_;
+ X(tensor_split)(p->sz, &sz1, spltrnk, &sz2);
+ vecszi = X(tensor_copy_inplace)(p->vecsz, INPLACE_OS);
+ sz2i = X(tensor_copy_inplace)(sz2, INPLACE_OS);
+
+ cld1 = X(mkplan_d)(plnr,
+ X(mkproblem_rdft_d)(X(tensor_copy)(sz2),
+ X(tensor_append)(p->vecsz, sz1),
+ p->I, p->O, p->kind + spltrnk));
+ if (!cld1) goto nada;
+
+ cld2 = X(mkplan_d)(plnr,
+ X(mkproblem_rdft_d)(
+ X(tensor_copy_inplace)(sz1, INPLACE_OS),
+ X(tensor_append)(vecszi, sz2i),
+ p->O, p->O, p->kind));
+ if (!cld2) goto nada;
+
+ pln = MKPLAN_RDFT(P, &padt, apply);
+
+ pln->cld1 = cld1;
+ pln->cld2 = cld2;
+
+ pln->solver = ego;
+ X(ops_add)(&cld1->ops, &cld2->ops, &pln->super.super.ops);
+
+ X(tensor_destroy4)(sz2, sz1, vecszi, sz2i);
+
+ return &(pln->super.super);
+
+ nada:
+ X(plan_destroy_internal)(cld2);
+ X(plan_destroy_internal)(cld1);
+ X(tensor_destroy4)(sz2, sz1, vecszi, sz2i);
+ return (plan *) 0;
+}
+
+static solver *mksolver(int spltrnk, const int *buddies, int nbuddies)
+{
+ static const solver_adt sadt = { mkplan };
+ S *slv = MKSOLVER(S, &sadt);
+ slv->spltrnk = spltrnk;
+ slv->buddies = buddies;
+ slv->nbuddies = nbuddies;
+ return &(slv->super);
+}
+
+void X(rdft_rank_geq2_register)(planner *p)
+{
+ int i;
+ static const int buddies[] = { 0, 1, -2 };
+
+ const int nbuddies = sizeof(buddies) / sizeof(buddies[0]);
+
+ for (i = 0; i < nbuddies; ++i)
+ REGISTER_SOLVER(p, mksolver(buddies[i], buddies, nbuddies));
+
+ /* FIXME: Should we try more buddies? See also dft/rank-geq2. */
+}