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1 /*
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2 * Copyright (c) 2003, 2007-11 Matteo Frigo
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3 * Copyright (c) 2003, 2007-11 Massachusetts Institute of Technology
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4 *
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5 * This program is free software; you can redistribute it and/or modify
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6 * it under the terms of the GNU General Public License as published by
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7 * the Free Software Foundation; either version 2 of the License, or
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8 * (at your option) any later version.
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9 *
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10 * This program is distributed in the hope that it will be useful,
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11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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13 * GNU General Public License for more details.
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14 *
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15 * You should have received a copy of the GNU General Public License
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16 * along with this program; if not, write to the Free Software
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17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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18 *
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19 */
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20
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21
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22 /* plans for RDFT of rank >= 2 (multidimensional) */
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23
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24 /* FIXME: this solver cannot strictly be applied to multidimensional
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25 DHTs, since the latter are not separable...up to rnk-1 additional
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26 post-processing passes may be required. See also:
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27
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28 R. N. Bracewell, O. Buneman, H. Hao, and J. Villasenor, "Fast
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29 two-dimensional Hartley transform," Proc. IEEE 74, 1282-1283 (1986).
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30
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31 H. Hao and R. N. Bracewell, "A three-dimensional DFT algorithm
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32 using the fast Hartley transform," Proc. IEEE 75(2), 264-266 (1987).
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33 */
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34
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35 #include "rdft.h"
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36
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37 typedef struct {
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38 solver super;
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39 int spltrnk;
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40 const int *buddies;
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41 int nbuddies;
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42 } S;
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43
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44 typedef struct {
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45 plan_rdft super;
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46
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47 plan *cld1, *cld2;
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48 const S *solver;
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49 } P;
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50
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51 /* Compute multi-dimensional RDFT by applying the two cld plans
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52 (lower-rnk RDFTs). */
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53 static void apply(const plan *ego_, R *I, R *O)
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54 {
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55 const P *ego = (const P *) ego_;
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56 plan_rdft *cld1, *cld2;
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57
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58 cld1 = (plan_rdft *) ego->cld1;
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59 cld1->apply(ego->cld1, I, O);
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60
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61 cld2 = (plan_rdft *) ego->cld2;
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62 cld2->apply(ego->cld2, O, O);
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63 }
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64
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65
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66 static void awake(plan *ego_, enum wakefulness wakefulness)
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67 {
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68 P *ego = (P *) ego_;
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69 X(plan_awake)(ego->cld1, wakefulness);
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70 X(plan_awake)(ego->cld2, wakefulness);
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71 }
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72
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73 static void destroy(plan *ego_)
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74 {
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75 P *ego = (P *) ego_;
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76 X(plan_destroy_internal)(ego->cld2);
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77 X(plan_destroy_internal)(ego->cld1);
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78 }
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79
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80 static void print(const plan *ego_, printer *p)
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81 {
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82 const P *ego = (const P *) ego_;
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83 const S *s = ego->solver;
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84 p->print(p, "(rdft-rank>=2/%d%(%p%)%(%p%))",
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85 s->spltrnk, ego->cld1, ego->cld2);
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86 }
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87
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88 static int picksplit(const S *ego, const tensor *sz, int *rp)
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89 {
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90 A(sz->rnk > 1); /* cannot split rnk <= 1 */
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91 if (!X(pickdim)(ego->spltrnk, ego->buddies, ego->nbuddies, sz, 1, rp))
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92 return 0;
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93 *rp += 1; /* convert from dim. index to rank */
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94 if (*rp >= sz->rnk) /* split must reduce rank */
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95 return 0;
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96 return 1;
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97 }
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98
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99 static int applicable0(const solver *ego_, const problem *p_, int *rp)
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100 {
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101 const problem_rdft *p = (const problem_rdft *) p_;
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102 const S *ego = (const S *)ego_;
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103 return (1
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104 && FINITE_RNK(p->sz->rnk) && FINITE_RNK(p->vecsz->rnk)
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105 && p->sz->rnk >= 2
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106 && picksplit(ego, p->sz, rp)
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107 );
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108 }
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109
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110 /* TODO: revise this. */
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111 static int applicable(const solver *ego_, const problem *p_,
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112 const planner *plnr, int *rp)
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113 {
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114 const S *ego = (const S *)ego_;
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115
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116 if (!applicable0(ego_, p_, rp)) return 0;
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117
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118 if (NO_RANK_SPLITSP(plnr) && (ego->spltrnk != ego->buddies[0]))
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119 return 0;
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120
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121 if (NO_UGLYP(plnr)) {
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122 /* Heuristic: if the vector stride is greater than the transform
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123 sz, don't use (prefer to do the vector loop first with a
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124 vrank-geq1 plan). */
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125 const problem_rdft *p = (const problem_rdft *) p_;
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126
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127 if (p->vecsz->rnk > 0 &&
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128 X(tensor_min_stride)(p->vecsz) > X(tensor_max_index)(p->sz))
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129 return 0;
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130 }
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131
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132 return 1;
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133 }
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134
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135 static plan *mkplan(const solver *ego_, const problem *p_, planner *plnr)
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136 {
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137 const S *ego = (const S *) ego_;
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138 const problem_rdft *p;
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139 P *pln;
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140 plan *cld1 = 0, *cld2 = 0;
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141 tensor *sz1, *sz2, *vecszi, *sz2i;
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142 int spltrnk;
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143
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144 static const plan_adt padt = {
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145 X(rdft_solve), awake, print, destroy
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146 };
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147
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148 if (!applicable(ego_, p_, plnr, &spltrnk))
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149 return (plan *) 0;
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150
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151 p = (const problem_rdft *) p_;
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152 X(tensor_split)(p->sz, &sz1, spltrnk, &sz2);
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153 vecszi = X(tensor_copy_inplace)(p->vecsz, INPLACE_OS);
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154 sz2i = X(tensor_copy_inplace)(sz2, INPLACE_OS);
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155
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156 cld1 = X(mkplan_d)(plnr,
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157 X(mkproblem_rdft_d)(X(tensor_copy)(sz2),
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158 X(tensor_append)(p->vecsz, sz1),
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159 p->I, p->O, p->kind + spltrnk));
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160 if (!cld1) goto nada;
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161
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162 cld2 = X(mkplan_d)(plnr,
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163 X(mkproblem_rdft_d)(
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164 X(tensor_copy_inplace)(sz1, INPLACE_OS),
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165 X(tensor_append)(vecszi, sz2i),
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166 p->O, p->O, p->kind));
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167 if (!cld2) goto nada;
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168
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169 pln = MKPLAN_RDFT(P, &padt, apply);
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170
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171 pln->cld1 = cld1;
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172 pln->cld2 = cld2;
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173
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174 pln->solver = ego;
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175 X(ops_add)(&cld1->ops, &cld2->ops, &pln->super.super.ops);
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176
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177 X(tensor_destroy4)(sz2, sz1, vecszi, sz2i);
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178
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179 return &(pln->super.super);
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180
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181 nada:
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182 X(plan_destroy_internal)(cld2);
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183 X(plan_destroy_internal)(cld1);
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184 X(tensor_destroy4)(sz2, sz1, vecszi, sz2i);
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185 return (plan *) 0;
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186 }
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187
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188 static solver *mksolver(int spltrnk, const int *buddies, int nbuddies)
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189 {
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190 static const solver_adt sadt = { PROBLEM_RDFT, mkplan, 0 };
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191 S *slv = MKSOLVER(S, &sadt);
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192 slv->spltrnk = spltrnk;
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193 slv->buddies = buddies;
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194 slv->nbuddies = nbuddies;
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195 return &(slv->super);
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196 }
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197
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198 void X(rdft_rank_geq2_register)(planner *p)
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199 {
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200 int i;
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201 static const int buddies[] = { 1, 0, -2 };
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202
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203 const int nbuddies = (int)(sizeof(buddies) / sizeof(buddies[0]));
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204
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205 for (i = 0; i < nbuddies; ++i)
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206 REGISTER_SOLVER(p, mksolver(buddies[i], buddies, nbuddies));
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207
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208 /* FIXME: Should we try more buddies? See also dft/rank-geq2. */
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209 }
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