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Rev | Author | Line No. | Line |
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2 | pj | 1 | /* |
2 | * Copyright (c) 1997-1999 Massachusetts Institute of Technology |
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3 | * |
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4 | * This program is free software; you can redistribute it and/or modify |
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5 | * it under the terms of the GNU General Public License as published by |
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6 | * the Free Software Foundation; either version 2 of the License, or |
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7 | * (at your option) any later version. |
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8 | * |
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9 | * This program is distributed in the hope that it will be useful, |
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10 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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11 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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12 | * GNU General Public License for more details. |
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13 | * |
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14 | * You should have received a copy of the GNU General Public License |
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15 | * along with this program; if not, write to the Free Software |
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16 | * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA |
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17 | * |
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18 | */ |
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19 | |||
107 | pj | 20 | /* $Id: rfftwnd.c,v 1.2 2003-03-24 11:14:59 pj Exp $ */ |
2 | pj | 21 | |
107 | pj | 22 | #include <fftw-int.h> |
23 | #include <rfftw.h> |
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2 | pj | 24 | |
25 | /********************** prototypes for rexec2 routines **********************/ |
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26 | |||
27 | extern void rfftw_real2c_aux(fftw_plan plan, int howmany, |
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28 | fftw_real *in, int istride, int idist, |
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29 | fftw_complex *out, int ostride, int odist, |
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30 | fftw_real *work); |
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31 | extern void rfftw_c2real_aux(fftw_plan plan, int howmany, |
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32 | fftw_complex *in, int istride, int idist, |
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33 | fftw_real *out, int ostride, int odist, |
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34 | fftw_real *work); |
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35 | extern void rfftw_real2c_overlap_aux(fftw_plan plan, int howmany, |
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36 | fftw_real *in, int istride, int idist, |
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37 | fftw_complex *out, int ostride, int odist, |
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38 | fftw_real *work); |
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39 | extern void rfftw_c2real_overlap_aux(fftw_plan plan, int howmany, |
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40 | fftw_complex *in, int istride, int idist, |
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41 | fftw_real *out, int ostride, int odist, |
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42 | fftw_real *work); |
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43 | |||
44 | /********************** Initializing the RFFTWND Plan ***********************/ |
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45 | |||
46 | /* |
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47 | * Create an fftwnd_plan specialized for specific arrays. (These |
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48 | * arrays are ignored, however, if they are NULL or if the flags |
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49 | * do not include FFTW_MEASURE.) The main advantage of being |
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50 | * provided arrays like this is that we can do runtime timing |
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51 | * measurements of our options, without worrying about allocating |
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52 | * excessive scratch space. |
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53 | */ |
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54 | fftwnd_plan rfftwnd_create_plan_specific(int rank, const int *n, |
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55 | fftw_direction dir, int flags, |
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56 | fftw_real *in, int istride, |
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57 | fftw_real *out, int ostride) |
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58 | { |
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59 | fftwnd_plan p; |
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60 | int i; |
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61 | int rflags = flags & ~FFTW_IN_PLACE; |
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62 | /* note that we always do rfftw transforms out-of-place in rexec2.c */ |
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63 | |||
64 | if (flags & FFTW_IN_PLACE) { |
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65 | out = NULL; |
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66 | ostride = istride; |
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67 | } |
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68 | istride = ostride = 1; /* |
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69 | * strides don't work yet, since it is not |
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70 | * clear whether they apply to real |
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71 | * or complex data |
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72 | */ |
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73 | |||
74 | if (!(p = fftwnd_create_plan_aux(rank, n, dir, flags))) |
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75 | return 0; |
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76 | |||
77 | for (i = 0; i < rank - 1; ++i) |
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78 | p->n_after[i] = (n[rank - 1]/2 + 1) * (p->n_after[i] / n[rank - 1]); |
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79 | if (rank > 0) |
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80 | p->n[rank - 1] = n[rank - 1] / 2 + 1; |
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81 | |||
82 | p->plans = fftwnd_new_plan_array(rank); |
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83 | if (rank > 0 && !p->plans) { |
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84 | rfftwnd_destroy_plan(p); |
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85 | return 0; |
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86 | } |
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87 | if (rank > 0) { |
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88 | p->plans[rank - 1] = rfftw_create_plan(n[rank - 1], dir, rflags); |
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89 | if (!p->plans[rank - 1]) { |
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90 | rfftwnd_destroy_plan(p); |
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91 | return 0; |
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92 | } |
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93 | } |
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94 | if (rank > 1) { |
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95 | if (!(flags & FFTW_MEASURE) || in == 0 |
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96 | || (!p->is_in_place && out == 0)) { |
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97 | if (!fftwnd_create_plans_generic(p->plans, rank - 1, n, |
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98 | dir, flags | FFTW_IN_PLACE)) { |
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99 | rfftwnd_destroy_plan(p); |
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100 | return 0; |
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101 | } |
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102 | } else if (dir == FFTW_COMPLEX_TO_REAL || (flags & FFTW_IN_PLACE)) { |
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103 | if (!fftwnd_create_plans_specific(p->plans, rank - 1, n, |
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104 | p->n_after, |
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105 | dir, flags | FFTW_IN_PLACE, |
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106 | (fftw_complex *) in, |
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107 | istride, |
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108 | 0, 0)) { |
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109 | rfftwnd_destroy_plan(p); |
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110 | return 0; |
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111 | } |
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112 | } else { |
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113 | if (!fftwnd_create_plans_specific(p->plans, rank - 1, n, |
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114 | p->n_after, |
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115 | dir, flags | FFTW_IN_PLACE, |
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116 | (fftw_complex *) out, |
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117 | ostride, |
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118 | 0, 0)) { |
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119 | rfftwnd_destroy_plan(p); |
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120 | return 0; |
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121 | } |
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122 | } |
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123 | } |
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124 | p->nbuffers = 0; |
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125 | p->nwork = fftwnd_work_size(rank, p->n, flags | FFTW_IN_PLACE, |
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126 | p->nbuffers + 1); |
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127 | if (p->nwork && !(flags & FFTW_THREADSAFE)) { |
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128 | p->work = (fftw_complex *) fftw_malloc(p->nwork |
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129 | * sizeof(fftw_complex)); |
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130 | if (!p->work) { |
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131 | rfftwnd_destroy_plan(p); |
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132 | return 0; |
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133 | } |
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134 | } |
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135 | return p; |
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136 | } |
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137 | |||
138 | fftwnd_plan rfftw2d_create_plan_specific(int nx, int ny, |
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139 | fftw_direction dir, int flags, |
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140 | fftw_real *in, int istride, |
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141 | fftw_real *out, int ostride) |
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142 | { |
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143 | int n[2]; |
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144 | |||
145 | n[0] = nx; |
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146 | n[1] = ny; |
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147 | |||
148 | return rfftwnd_create_plan_specific(2, n, dir, flags, |
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149 | in, istride, out, ostride); |
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150 | } |
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151 | |||
152 | fftwnd_plan rfftw3d_create_plan_specific(int nx, int ny, int nz, |
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153 | fftw_direction dir, int flags, |
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154 | fftw_real *in, int istride, |
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155 | fftw_real *out, int ostride) |
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156 | { |
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157 | int n[3]; |
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158 | |||
159 | n[0] = nx; |
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160 | n[1] = ny; |
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161 | n[2] = nz; |
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162 | |||
163 | return rfftwnd_create_plan_specific(3, n, dir, flags, |
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164 | in, istride, out, ostride); |
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165 | } |
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166 | |||
167 | /* Create a generic fftwnd plan: */ |
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168 | |||
169 | fftwnd_plan rfftwnd_create_plan(int rank, const int *n, |
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170 | fftw_direction dir, int flags) |
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171 | { |
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172 | return rfftwnd_create_plan_specific(rank, n, dir, flags, 0, 1, 0, 1); |
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173 | } |
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174 | |||
175 | fftwnd_plan rfftw2d_create_plan(int nx, int ny, |
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176 | fftw_direction dir, int flags) |
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177 | { |
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178 | return rfftw2d_create_plan_specific(nx, ny, dir, flags, 0, 1, 0, 1); |
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179 | } |
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180 | |||
181 | fftwnd_plan rfftw3d_create_plan(int nx, int ny, int nz, |
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182 | fftw_direction dir, int flags) |
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183 | { |
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184 | return rfftw3d_create_plan_specific(nx, ny, nz, dir, flags, 0, 1, 0, 1); |
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185 | } |
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186 | |||
187 | /************************ Freeing the RFFTWND Plan ************************/ |
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188 | |||
189 | void rfftwnd_destroy_plan(fftwnd_plan plan) |
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190 | { |
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191 | fftwnd_destroy_plan(plan); |
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192 | } |
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193 | |||
194 | /************************ Printing the RFFTWND Plan ************************/ |
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195 | /* |
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196 | void rfftwnd_fprint_plan(FILE *f, fftwnd_plan plan) |
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197 | { |
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198 | fftwnd_fprint_plan(f, plan); |
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199 | } |
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200 | |||
201 | void rfftwnd_print_plan(fftwnd_plan plan) |
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202 | { |
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203 | rfftwnd_fprint_plan(stdout, plan); |
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204 | } |
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205 | */ |
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206 | /*********** Computing the N-Dimensional FFT: Auxiliary Routines ************/ |
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207 | |||
208 | void rfftwnd_real2c_aux(fftwnd_plan p, int cur_dim, |
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209 | fftw_real *in, int istride, |
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210 | fftw_complex *out, int ostride, |
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211 | fftw_real *work) |
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212 | { |
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213 | int n_after = p->n_after[cur_dim], n = p->n[cur_dim]; |
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214 | |||
215 | if (cur_dim == p->rank - 2) { |
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216 | /* just do the last dimension directly: */ |
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217 | if (p->is_in_place) |
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218 | rfftw_real2c_aux(p->plans[p->rank - 1], n, |
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219 | in, istride, (n_after * istride) * 2, |
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220 | out, istride, n_after * istride, |
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221 | work); |
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222 | else |
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223 | rfftw_real2c_aux(p->plans[p->rank - 1], n, |
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224 | in, istride, p->plans[p->rank - 1]->n * istride, |
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225 | out, ostride, n_after * ostride, |
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226 | work); |
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227 | } else { /* we have at least two dimensions to go */ |
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228 | int nr = p->plans[p->rank - 1]->n; |
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229 | int n_after_r = p->is_in_place ? n_after * 2 |
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230 | : nr * (n_after / (nr/2 + 1)); |
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231 | int i; |
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232 | |||
233 | /* |
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234 | * process the subsequent dimensions recursively, in hyperslabs, |
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235 | * to get maximum locality: |
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236 | */ |
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237 | for (i = 0; i < n; ++i) |
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238 | rfftwnd_real2c_aux(p, cur_dim + 1, |
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239 | in + i * n_after_r * istride, istride, |
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240 | out + i * n_after * ostride, ostride, work); |
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241 | } |
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242 | |||
243 | /* do the current dimension (in-place): */ |
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244 | fftw(p->plans[cur_dim], n_after, |
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245 | out, n_after * ostride, ostride, |
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246 | (fftw_complex *) work, 1, 0); |
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247 | /* I hate this cast */ |
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248 | } |
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249 | |||
250 | void rfftwnd_c2real_aux(fftwnd_plan p, int cur_dim, |
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251 | fftw_complex *in, int istride, |
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252 | fftw_real *out, int ostride, |
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253 | fftw_real *work) |
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254 | { |
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255 | int n_after = p->n_after[cur_dim], n = p->n[cur_dim]; |
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256 | |||
257 | /* do the current dimension (in-place): */ |
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258 | fftw(p->plans[cur_dim], n_after, |
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259 | in, n_after * istride, istride, |
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260 | (fftw_complex *) work, 1, 0); |
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261 | |||
262 | if (cur_dim == p->rank - 2) { |
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263 | /* just do the last dimension directly: */ |
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264 | if (p->is_in_place) |
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265 | rfftw_c2real_aux(p->plans[p->rank - 1], n, |
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266 | in, istride, n_after * istride, |
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267 | out, istride, (n_after * istride) * 2, |
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268 | work); |
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269 | else |
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270 | rfftw_c2real_aux(p->plans[p->rank - 1], n, |
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271 | in, istride, n_after * istride, |
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272 | out, ostride, p->plans[p->rank - 1]->n * ostride, |
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273 | work); |
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274 | } else { /* we have at least two dimensions to go */ |
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275 | int nr = p->plans[p->rank - 1]->n; |
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276 | int n_after_r = p->is_in_place ? n_after * 2 : |
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277 | nr * (n_after / (nr/2 + 1)); |
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278 | int i; |
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279 | |||
280 | /* |
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281 | * process the subsequent dimensions recursively, in hyperslabs, |
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282 | * to get maximum locality: |
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283 | */ |
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284 | for (i = 0; i < n; ++i) |
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285 | rfftwnd_c2real_aux(p, cur_dim + 1, |
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286 | in + i * n_after * istride, istride, |
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287 | out + i * n_after_r * ostride, ostride, work); |
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288 | } |
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289 | } |
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290 | |||
291 | /* |
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292 | * alternate version of rfftwnd_aux -- this version pushes the howmany |
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293 | * loop down to the leaves of the computation, for greater locality |
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294 | * in cases where dist < stride. It is also required for correctness |
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295 | * if in==out, and we must call a special version of the executor. |
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296 | * Note that work must point to 'howmany' copies of its data |
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297 | * if in == out. |
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298 | */ |
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299 | |||
300 | void rfftwnd_real2c_aux_howmany(fftwnd_plan p, int cur_dim, |
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301 | int howmany, |
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302 | fftw_real *in, int istride, int idist, |
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303 | fftw_complex *out, int ostride, int odist, |
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304 | fftw_complex *work) |
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305 | { |
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306 | int n_after = p->n_after[cur_dim], n = p->n[cur_dim]; |
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307 | int k; |
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308 | |||
309 | if (cur_dim == p->rank - 2) { |
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310 | /* just do the last dimension directly: */ |
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311 | if (p->is_in_place) |
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312 | for (k = 0; k < n; ++k) |
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313 | rfftw_real2c_overlap_aux(p->plans[p->rank - 1], howmany, |
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314 | in + (k * n_after * istride) * 2, |
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315 | istride, idist, |
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316 | out + (k * n_after * ostride), |
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317 | ostride, odist, |
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318 | (fftw_real *) work); |
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319 | else { |
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320 | int nlast = p->plans[p->rank - 1]->n; |
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321 | for (k = 0; k < n; ++k) |
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322 | rfftw_real2c_aux(p->plans[p->rank - 1], howmany, |
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323 | in + k * nlast * istride, |
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324 | istride, idist, |
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325 | out + k * n_after * ostride, |
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326 | ostride, odist, |
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327 | (fftw_real *) work); |
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328 | } |
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329 | } else { /* we have at least two dimensions to go */ |
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330 | int nr = p->plans[p->rank - 1]->n; |
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331 | int n_after_r = p->is_in_place ? n_after * 2 : |
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332 | nr * (n_after / (nr/2 + 1)); |
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333 | int i; |
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334 | |||
335 | /* |
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336 | * process the subsequent dimensions recursively, in hyperslabs, |
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337 | * to get maximum locality: |
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338 | */ |
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339 | for (i = 0; i < n; ++i) |
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340 | rfftwnd_real2c_aux_howmany(p, cur_dim + 1, howmany, |
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341 | in + i * n_after_r * istride, istride, idist, |
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342 | out + i * n_after * ostride, ostride, odist, |
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343 | work); |
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344 | } |
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345 | |||
346 | /* do the current dimension (in-place): */ |
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347 | for (k = 0; k < n_after; ++k) |
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348 | fftw(p->plans[cur_dim], howmany, |
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349 | out + k * ostride, n_after * ostride, odist, |
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350 | work, 1, 0); |
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351 | } |
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352 | |||
353 | void rfftwnd_c2real_aux_howmany(fftwnd_plan p, int cur_dim, |
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354 | int howmany, |
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355 | fftw_complex *in, int istride, int idist, |
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356 | fftw_real *out, int ostride, int odist, |
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357 | fftw_complex *work) |
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358 | { |
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359 | int n_after = p->n_after[cur_dim], n = p->n[cur_dim]; |
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360 | int k; |
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361 | |||
362 | /* do the current dimension (in-place): */ |
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363 | for (k = 0; k < n_after; ++k) |
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364 | fftw(p->plans[cur_dim], howmany, |
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365 | in + k * istride, n_after * istride, idist, |
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366 | work, 1, 0); |
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367 | |||
368 | if (cur_dim == p->rank - 2) { |
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369 | /* just do the last dimension directly: */ |
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370 | if (p->is_in_place) |
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371 | for (k = 0; k < n; ++k) |
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372 | rfftw_c2real_overlap_aux(p->plans[p->rank - 1], howmany, |
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373 | in + (k * n_after * istride), |
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374 | istride, idist, |
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375 | out + (k * n_after * ostride) * 2, |
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376 | ostride, odist, |
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377 | (fftw_real *) work); |
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378 | else { |
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379 | int nlast = p->plans[p->rank - 1]->n; |
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380 | for (k = 0; k < n; ++k) |
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381 | rfftw_c2real_aux(p->plans[p->rank - 1], howmany, |
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382 | in + k * n_after * istride, |
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383 | istride, idist, |
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384 | out + k * nlast * ostride, |
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385 | ostride, odist, |
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386 | (fftw_real *) work); |
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387 | } |
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388 | } else { /* we have at least two dimensions to go */ |
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389 | int nr = p->plans[p->rank - 1]->n; |
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390 | int n_after_r = p->is_in_place ? n_after * 2 |
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391 | : nr * (n_after / (nr/2 + 1)); |
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392 | int i; |
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393 | |||
394 | /* |
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395 | * process the subsequent dimensions recursively, in hyperslabs, |
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396 | * to get maximum locality: |
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397 | */ |
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398 | for (i = 0; i < n; ++i) |
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399 | rfftwnd_c2real_aux_howmany(p, cur_dim + 1, howmany, |
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400 | in + i * n_after * istride, istride, idist, |
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401 | out + i * n_after_r * ostride, ostride, odist, |
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402 | work); |
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403 | } |
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404 | } |
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405 | |||
406 | /********** Computing the N-Dimensional FFT: User-Visible Routines **********/ |
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407 | |||
408 | void rfftwnd_real_to_complex(fftwnd_plan p, int howmany, |
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409 | fftw_real *in, int istride, int idist, |
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410 | fftw_complex *out, int ostride, int odist) |
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411 | { |
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412 | fftw_complex *work = p->work; |
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413 | int rank = p->rank; |
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414 | int free_work = 0; |
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415 | |||
416 | if (p->dir != FFTW_REAL_TO_COMPLEX) |
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417 | fftw_die("rfftwnd_real_to_complex with complex-to-real plan"); |
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418 | |||
419 | #ifdef FFTW_DEBUG |
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420 | if (p->rank > 0 && (p->plans[0]->flags & FFTW_THREADSAFE) |
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421 | && p->nwork && p->work) |
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422 | fftw_die("bug with FFTW_THREADSAFE flag"); |
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423 | #endif |
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424 | |||
425 | if (p->is_in_place) { |
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426 | ostride = istride; |
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427 | odist = (idist == 1) ? 1 : (idist / 2); /* ugh */ |
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428 | out = (fftw_complex *) in; |
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429 | if (howmany > 1 && istride > idist && rank > 0) { |
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430 | int new_nwork; |
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431 | |||
432 | new_nwork = p->n[rank - 1] * howmany; |
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433 | if (new_nwork > p->nwork) { |
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434 | work = (fftw_complex *) |
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435 | fftw_malloc(sizeof(fftw_complex) * new_nwork); |
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436 | if (!work) |
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437 | fftw_die("error allocating work array"); |
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438 | free_work = 1; |
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439 | } |
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440 | } |
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441 | } |
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442 | if (p->nwork && !work) { |
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443 | work = (fftw_complex *) fftw_malloc(sizeof(fftw_complex) * p->nwork); |
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444 | free_work = 1; |
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445 | } |
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446 | switch (rank) { |
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447 | case 0: |
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448 | break; |
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449 | case 1: |
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450 | if (p->is_in_place && howmany > 1 && istride > idist) |
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451 | rfftw_real2c_overlap_aux(p->plans[0], howmany, |
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452 | in, istride, idist, |
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453 | out, ostride, odist, |
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454 | (fftw_real *) work); |
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455 | else |
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456 | rfftw_real2c_aux(p->plans[0], howmany, |
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457 | in, istride, idist, |
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458 | out, ostride, odist, |
||
459 | (fftw_real *) work); |
||
460 | break; |
||
461 | default: /* rank >= 2 */ |
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462 | { |
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463 | if (howmany > 1 && ostride > odist) |
||
464 | rfftwnd_real2c_aux_howmany(p, 0, howmany, |
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465 | in, istride, idist, |
||
466 | out, ostride, odist, |
||
467 | work); |
||
468 | else { |
||
469 | int i; |
||
470 | |||
471 | for (i = 0; i < howmany; ++i) |
||
472 | rfftwnd_real2c_aux(p, 0, |
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473 | in + i * idist, istride, |
||
474 | out + i * odist, ostride, |
||
475 | (fftw_real *) work); |
||
476 | } |
||
477 | } |
||
478 | } |
||
479 | |||
480 | if (free_work) |
||
481 | fftw_free(work); |
||
482 | } |
||
483 | |||
484 | void rfftwnd_complex_to_real(fftwnd_plan p, int howmany, |
||
485 | fftw_complex *in, int istride, int idist, |
||
486 | fftw_real *out, int ostride, int odist) |
||
487 | { |
||
488 | fftw_complex *work = p->work; |
||
489 | int rank = p->rank; |
||
490 | int free_work = 0; |
||
491 | |||
492 | if (p->dir != FFTW_COMPLEX_TO_REAL) |
||
493 | fftw_die("rfftwnd_complex_to_real with real-to-complex plan"); |
||
494 | |||
495 | #ifdef FFTW_DEBUG |
||
496 | if (p->rank > 0 && (p->plans[0]->flags & FFTW_THREADSAFE) |
||
497 | && p->nwork && p->work) |
||
498 | fftw_die("bug with FFTW_THREADSAFE flag"); |
||
499 | #endif |
||
500 | |||
501 | if (p->is_in_place) { |
||
502 | ostride = istride; |
||
503 | odist = idist; |
||
504 | odist = (idist == 1) ? 1 : (idist * 2); /* ugh */ |
||
505 | out = (fftw_real *) in; |
||
506 | if (howmany > 1 && istride > idist && rank > 0) { |
||
507 | int new_nwork = p->n[rank - 1] * howmany; |
||
508 | if (new_nwork > p->nwork) { |
||
509 | work = (fftw_complex *) |
||
510 | fftw_malloc(sizeof(fftw_complex) * new_nwork); |
||
511 | if (!work) |
||
512 | fftw_die("error allocating work array"); |
||
513 | free_work = 1; |
||
514 | } |
||
515 | } |
||
516 | } |
||
517 | if (p->nwork && !work) { |
||
518 | work = (fftw_complex *) fftw_malloc(sizeof(fftw_complex) * p->nwork); |
||
519 | free_work = 1; |
||
520 | } |
||
521 | switch (rank) { |
||
522 | case 0: |
||
523 | break; |
||
524 | case 1: |
||
525 | if (p->is_in_place && howmany > 1 && istride > idist) |
||
526 | rfftw_c2real_overlap_aux(p->plans[0], howmany, |
||
527 | in, istride, idist, |
||
528 | out, ostride, odist, |
||
529 | (fftw_real *) work); |
||
530 | else |
||
531 | rfftw_c2real_aux(p->plans[0], howmany, |
||
532 | in, istride, idist, |
||
533 | out, ostride, odist, |
||
534 | (fftw_real *) work); |
||
535 | break; |
||
536 | default: /* rank >= 2 */ |
||
537 | { |
||
538 | if (howmany > 1 && ostride > odist) |
||
539 | rfftwnd_c2real_aux_howmany(p, 0, howmany, |
||
540 | in, istride, idist, |
||
541 | out, ostride, odist, |
||
542 | work); |
||
543 | else { |
||
544 | int i; |
||
545 | |||
546 | for (i = 0; i < howmany; ++i) |
||
547 | rfftwnd_c2real_aux(p, 0, |
||
548 | in + i * idist, istride, |
||
549 | out + i * odist, ostride, |
||
550 | (fftw_real *) work); |
||
551 | } |
||
552 | } |
||
553 | } |
||
554 | |||
555 | if (free_work) |
||
556 | fftw_free(work); |
||
557 | } |
||
558 | |||
559 | void rfftwnd_one_real_to_complex(fftwnd_plan p, |
||
560 | fftw_real *in, fftw_complex *out) |
||
561 | { |
||
562 | rfftwnd_real_to_complex(p, 1, in, 1, 1, out, 1, 1); |
||
563 | } |
||
564 | |||
565 | void rfftwnd_one_complex_to_real(fftwnd_plan p, |
||
566 | fftw_complex *in, fftw_real *out) |
||
567 | { |
||
568 | rfftwnd_complex_to_real(p, 1, in, 1, 1, out, 1, 1); |
||
569 | } |