239 lines
		
	
	
		
			6.6 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
		
		
			
		
	
	
			239 lines
		
	
	
		
			6.6 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
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								/*
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								 * Copyright (c) 2003, 2007-14 Matteo Frigo
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								 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
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								 *
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								 * This program is free software; you can redistribute it and/or modify
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								 * it under the terms of the GNU General Public License as published by
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								 * the Free Software Foundation; either version 2 of the License, or
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								 * (at your option) any later version.
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								 *
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								 * This program is distributed in the hope that it will be useful,
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								 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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								 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
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								 * GNU General Public License for more details.
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								 *
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								 * You should have received a copy of the GNU General Public License
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								 * along with this program; if not, write to the Free Software
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								 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
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								 *
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								 */
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								#include "rdft/rdft.h"
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								#include <stddef.h>
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								static void destroy(problem *ego_)
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								{
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								     problem_rdft *ego = (problem_rdft *) ego_;
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								#if !defined(STRUCT_HACK_C99) && !defined(STRUCT_HACK_KR)
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								     X(ifree0)(ego->kind);
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								#endif
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								     X(tensor_destroy2)(ego->vecsz, ego->sz);
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								     X(ifree)(ego_);
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								}
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								static void kind_hash(md5 *m, const rdft_kind *kind, int rnk)
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								{
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								     int i;
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								     for (i = 0; i < rnk; ++i)
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									  X(md5int)(m, kind[i]);
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								}
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								static void hash(const problem *p_, md5 *m)
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								{
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								     const problem_rdft *p = (const problem_rdft *) p_;
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								     X(md5puts)(m, "rdft");
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								     X(md5int)(m, p->I == p->O);
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								     kind_hash(m, p->kind, p->sz->rnk);
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								     X(md5int)(m, X(ialignment_of)(p->I));
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								     X(md5int)(m, X(ialignment_of)(p->O));
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								     X(tensor_md5)(m, p->sz);
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								     X(tensor_md5)(m, p->vecsz);
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								}
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								static void recur(const iodim *dims, int rnk, R *I)
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								{
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								     if (rnk == RNK_MINFTY)
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								          return;
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								     else if (rnk == 0)
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								          I[0] = K(0.0);
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								     else if (rnk > 0) {
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								          INT i, n = dims[0].n, is = dims[0].is;
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									  if (rnk == 1) {
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									       /* this case is redundant but faster */
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									       for (i = 0; i < n; ++i)
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										    I[i * is] = K(0.0);
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									  } else {
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									       for (i = 0; i < n; ++i)
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										    recur(dims + 1, rnk - 1, I + i * is);
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									  }
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								     }
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								}
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								void X(rdft_zerotens)(tensor *sz, R *I)
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								{
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								     recur(sz->dims, sz->rnk, I);
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								}
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								#define KSTR_LEN 8
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								const char *X(rdft_kind_str)(rdft_kind kind)
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								{
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								     static const char kstr[][KSTR_LEN] = {
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									  "r2hc", "r2hc01", "r2hc10", "r2hc11",
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									  "hc2r", "hc2r01", "hc2r10", "hc2r11",
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									  "dht",
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									  "redft00", "redft01", "redft10", "redft11",
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									  "rodft00", "rodft01", "rodft10", "rodft11"
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								     };
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								     A(kind >= 0 && kind < sizeof(kstr) / KSTR_LEN);
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								     return kstr[kind];
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								}
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								static void print(const problem *ego_, printer *p)
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								{
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								     const problem_rdft *ego = (const problem_rdft *) ego_;
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								     int i;
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								     p->print(p, "(rdft %d %D %T %T", 
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									      X(ialignment_of)(ego->I),
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									      (INT)(ego->O - ego->I), 
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									      ego->sz,
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									      ego->vecsz);
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								     for (i = 0; i < ego->sz->rnk; ++i)
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									  p->print(p, " %d", (int)ego->kind[i]);
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								     p->print(p, ")");
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								}
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								static void zero(const problem *ego_)
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								{
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								     const problem_rdft *ego = (const problem_rdft *) ego_;
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								     tensor *sz = X(tensor_append)(ego->vecsz, ego->sz);
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								     X(rdft_zerotens)(sz, UNTAINT(ego->I));
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								     X(tensor_destroy)(sz);
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								}
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								static const problem_adt padt =
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								{
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								     PROBLEM_RDFT,
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								     hash,
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								     zero,
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								     print,
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								     destroy
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								};
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								/* Dimensions of size 1 that are not REDFT/RODFT are no-ops and can be
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								   eliminated.  REDFT/RODFT unit dimensions often have factors of 2.0
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								   and suchlike from normalization and phases, although in principle
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								   these constant factors from different dimensions could be combined. */
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								static int nontrivial(const iodim *d, rdft_kind kind)
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								{
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								     return (d->n > 1 || kind == R2HC11 || kind == HC2R11
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									     || (REODFT_KINDP(kind) && kind != REDFT01 && kind != RODFT01));
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								}
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								problem *X(mkproblem_rdft)(const tensor *sz, const tensor *vecsz,
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											   R *I, R *O, const rdft_kind *kind)
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								{
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								     problem_rdft *ego;
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								     int rnk = sz->rnk;
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								     int i;
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								     A(X(tensor_kosherp)(sz));
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								     A(X(tensor_kosherp)(vecsz));
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								     A(FINITE_RNK(sz->rnk));
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								     if (UNTAINT(I) == UNTAINT(O))
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									  I = O = JOIN_TAINT(I, O);
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								     if (I == O && !X(tensor_inplace_locations)(sz, vecsz))
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									  return X(mkproblem_unsolvable)();
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								     for (i = rnk = 0; i < sz->rnk; ++i) {
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								          A(sz->dims[i].n > 0);
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								          if (nontrivial(sz->dims + i, kind[i]))
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								               ++rnk;
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								     }
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								#if defined(STRUCT_HACK_KR)
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								     ego = (problem_rdft *) X(mkproblem)(sizeof(problem_rdft)
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													 + sizeof(rdft_kind)
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													 * (rnk > 0 ? rnk - 1u : 0u), &padt);
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								#elif defined(STRUCT_HACK_C99)
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								     ego = (problem_rdft *) X(mkproblem)(sizeof(problem_rdft)
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													 + sizeof(rdft_kind) * (unsigned)rnk, &padt);
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								#else
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								     ego = (problem_rdft *) X(mkproblem)(sizeof(problem_rdft), &padt);
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								     ego->kind = (rdft_kind *) MALLOC(sizeof(rdft_kind) * (unsigned)rnk, PROBLEMS);
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								#endif
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								     /* do compression and sorting as in X(tensor_compress), but take
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									transform kind into account (sigh) */
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								     ego->sz = X(mktensor)(rnk);
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								     for (i = rnk = 0; i < sz->rnk; ++i) {
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								          if (nontrivial(sz->dims + i, kind[i])) {
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									       ego->kind[rnk] = kind[i];
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								               ego->sz->dims[rnk++] = sz->dims[i];
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									  }
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								     }
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								     for (i = 0; i + 1 < rnk; ++i) {
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									  int j;
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									  for (j = i + 1; j < rnk; ++j)
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									       if (X(dimcmp)(ego->sz->dims + i, ego->sz->dims + j) > 0) {
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										    iodim dswap;
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										    rdft_kind kswap;
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										    dswap = ego->sz->dims[i];
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										    ego->sz->dims[i] = ego->sz->dims[j];
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										    ego->sz->dims[j] = dswap;
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										    kswap = ego->kind[i];
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										    ego->kind[i] = ego->kind[j];
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										    ego->kind[j] = kswap;
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									       }
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								     }
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								     for (i = 0; i < rnk; ++i)
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									  if (ego->sz->dims[i].n == 2 && (ego->kind[i] == REDFT00
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													  || ego->kind[i] == DHT
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													  || ego->kind[i] == HC2R))
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									       ego->kind[i] = R2HC; /* size-2 transforms are equivalent */
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								     ego->vecsz = X(tensor_compress_contiguous)(vecsz);
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								     ego->I = I;
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								     ego->O = O;
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								     A(FINITE_RNK(ego->sz->rnk));
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								     return &(ego->super);
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								}
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								/* Same as X(mkproblem_rdft), but also destroy input tensors. */
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								problem *X(mkproblem_rdft_d)(tensor *sz, tensor *vecsz,
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											     R *I, R *O, const rdft_kind *kind)
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								{
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								     problem *p = X(mkproblem_rdft)(sz, vecsz, I, O, kind);
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								     X(tensor_destroy2)(vecsz, sz);
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								     return p;
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								}
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								/* As above, but for rnk <= 1 only and takes a scalar kind parameter */
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								problem *X(mkproblem_rdft_1)(const tensor *sz, const tensor *vecsz,
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											     R *I, R *O, rdft_kind kind)
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								{
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								     A(sz->rnk <= 1);
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								     return X(mkproblem_rdft)(sz, vecsz, I, O, &kind);
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								}
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								problem *X(mkproblem_rdft_1_d)(tensor *sz, tensor *vecsz,
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											       R *I, R *O, rdft_kind kind)
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								{
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								     A(sz->rnk <= 1);
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								     return X(mkproblem_rdft_d)(sz, vecsz, I, O, &kind);
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								}
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								/* create a zero-dimensional problem */
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								problem *X(mkproblem_rdft_0_d)(tensor *vecsz, R *I, R *O)
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								{
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								     return X(mkproblem_rdft_d)(X(mktensor_0d)(), vecsz, I, O, 
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												(const rdft_kind *)0);
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								}
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