Mercurial > octave
annotate src/DLD-FUNCTIONS/fft2.cc @ 14138:72c96de7a403 stable
maint: update copyright notices for 2012
author | John W. Eaton <jwe@octave.org> |
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date | Mon, 02 Jan 2012 14:25:41 -0500 |
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2 | |
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3 Copyright (C) 1997-2012 David Bateman |
11523 | 4 Copyright (C) 1996-1997 John W. Eaton |
2928 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
2928 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
2928 | 21 |
22 */ | |
23 | |
24 #ifdef HAVE_CONFIG_H | |
25 #include <config.h> | |
26 #endif | |
27 | |
28 #include "lo-mappers.h" | |
29 | |
30 #include "defun-dld.h" | |
31 #include "error.h" | |
32 #include "gripes.h" | |
33 #include "oct-obj.h" | |
34 #include "utils.h" | |
35 | |
4773 | 36 // This function should be merged with Fifft. |
2928 | 37 |
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38 #if defined (HAVE_FFTW) |
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39 #define FFTSRC "@sc{fftw}" |
4773 | 40 #else |
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41 #define FFTSRC "@sc{fftpack}" |
4773 | 42 #endif |
43 | |
44 static octave_value | |
45 do_fft2 (const octave_value_list &args, const char *fcn, int type) | |
2928 | 46 { |
4233 | 47 octave_value retval; |
2928 | 48 |
49 int nargin = args.length (); | |
50 | |
51 if (nargin < 1 || nargin > 3) | |
52 { | |
5823 | 53 print_usage (); |
2928 | 54 return retval; |
55 } | |
56 | |
57 octave_value arg = args(0); | |
4773 | 58 dim_vector dims = arg.dims (); |
5275 | 59 octave_idx_type n_rows = -1; |
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60 |
2928 | 61 if (nargin > 1) |
62 { | |
63 double dval = args(1).double_value (); | |
64 if (xisnan (dval)) | |
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65 error ("%s: number of rows (N) cannot be NaN", fcn); |
2928 | 66 else |
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67 { |
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68 n_rows = NINTbig (dval); |
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69 if (n_rows < 0) |
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70 error ("%s: number of rows (N) must be greater than zero", fcn); |
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71 } |
2928 | 72 } |
73 | |
74 if (error_state) | |
75 return retval; | |
76 | |
5275 | 77 octave_idx_type n_cols = -1; |
2928 | 78 if (nargin > 2) |
79 { | |
80 double dval = args(2).double_value (); | |
81 if (xisnan (dval)) | |
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82 error ("%s: number of columns (M) cannot be NaN", fcn); |
2928 | 83 else |
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84 { |
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85 n_cols = NINTbig (dval); |
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86 if (n_cols < 0) |
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87 error ("%s: number of columns (M) must be greater than zero", fcn); |
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88 } |
2928 | 89 } |
90 | |
91 if (error_state) | |
92 return retval; | |
93 | |
4773 | 94 for (int i = 0; i < dims.length (); i++) |
95 if (dims(i) < 0) | |
2928 | 96 return retval; |
97 | |
4773 | 98 if (n_rows < 0) |
99 n_rows = dims (0); | |
100 else | |
101 dims (0) = n_rows; | |
2928 | 102 |
4773 | 103 if (n_cols < 0) |
104 n_cols = dims (1); | |
105 else | |
106 dims (1) = n_cols; | |
107 | |
108 if (dims.all_zero () || n_rows == 0 || n_cols == 0) | |
7924 | 109 { |
110 if (arg.is_single_type ()) | |
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111 return octave_value (FloatMatrix ()); |
7924 | 112 else |
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113 return octave_value (Matrix ()); |
7924 | 114 } |
2928 | 115 |
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116 if (arg.is_single_type ()) |
2928 | 117 { |
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118 if (arg.is_real_type ()) |
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119 { |
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120 FloatNDArray nda = arg.float_array_value (); |
2928 | 121 |
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122 if (! error_state) |
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123 { |
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124 nda.resize (dims, 0.0); |
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125 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ()); |
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126 } |
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127 } |
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128 else |
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129 { |
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130 FloatComplexNDArray cnda = arg.float_complex_array_value (); |
2928 | 131 |
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132 if (! error_state) |
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133 { |
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134 cnda.resize (dims, 0.0); |
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135 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ()); |
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136 } |
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137 } |
2928 | 138 } |
139 else | |
140 { | |
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141 if (arg.is_real_type ()) |
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142 { |
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143 NDArray nda = arg.array_value (); |
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144 |
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145 if (! error_state) |
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146 { |
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147 nda.resize (dims, 0.0); |
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148 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ()); |
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149 } |
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150 } |
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151 else if (arg.is_complex_type ()) |
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152 { |
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153 ComplexNDArray cnda = arg.complex_array_value (); |
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154 |
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155 if (! error_state) |
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156 { |
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157 cnda.resize (dims, 0.0); |
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158 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ()); |
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159 } |
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160 } |
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161 else |
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162 { |
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163 gripe_wrong_type_arg (fcn, arg); |
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164 } |
2928 | 165 } |
166 | |
167 return retval; | |
168 } | |
169 | |
4773 | 170 DEFUN_DLD (fft2, args, , |
171 "-*- texinfo -*-\n\ | |
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172 @deftypefn {Loadable Function} {} fft2 (@var{A})\n\ |
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173 @deftypefnx {Loadable Function} {} fft2 (@var{A}, @var{m}, @var{n})\n\ |
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174 Compute the two-dimensional discrete Fourier transform of @var{A} using\n\ |
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175 a Fast Fourier Transform (FFT) algorithm.\n\ |
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176 \n\ |
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177 The optional arguments @var{m} and @var{n} may be used specify the\n\ |
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178 number of rows and columns of @var{A} to use. If either of these is\n\ |
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179 larger than the size of @var{A}, @var{A} is resized and padded with\n\ |
4773 | 180 zeros.\n\ |
181 \n\ | |
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182 If @var{A} is a multi-dimensional matrix, each two-dimensional sub-matrix\n\ |
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183 of @var{A} is treated separately.\n\ |
6971 | 184 @seealso {ifft2, fft, fftn, fftw}\n\ |
5642 | 185 @end deftypefn") |
4773 | 186 { |
4782 | 187 return do_fft2 (args, "fft2", 0); |
4773 | 188 } |
189 | |
190 | |
191 DEFUN_DLD (ifft2, args, , | |
192 "-*- texinfo -*-\n\ | |
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193 @deftypefn {Loadable Function} {} ifft2 (@var{A})\n\ |
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194 @deftypefnx {Loadable Function} {} ifft2 (@var{A}, @var{m}, @var{n})\n\ |
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195 Compute the inverse two-dimensional discrete Fourier transform of @var{A}\n\ |
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196 using a Fast Fourier Transform (FFT) algorithm.\n\ |
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197 \n\ |
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198 The optional arguments @var{m} and @var{n} may be used specify the\n\ |
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199 number of rows and columns of @var{A} to use. If either of these is\n\ |
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200 larger than the size of @var{A}, @var{A} is resized and padded with\n\ |
4773 | 201 zeros.\n\ |
202 \n\ | |
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203 If @var{A} is a multi-dimensional matrix, each two-dimensional sub-matrix\n\ |
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204 of @var{A} is treated separately\n\ |
6971 | 205 @seealso {fft2, ifft, ifftn, fftw}\n\ |
5642 | 206 @end deftypefn") |
4773 | 207 { |
4782 | 208 return do_fft2 (args, "ifft2", 1); |
4773 | 209 } |
210 | |
2928 | 211 /* |
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212 |
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213 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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214 %% Comalco Research and Technology |
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215 %% 02 May 2000 |
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216 %!test |
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217 %! M=16; |
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218 %! N=8; |
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219 %! |
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220 %! m=5; |
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221 %! n=3; |
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222 %! |
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223 %! x = 2*pi*(0:1:M-1)/M; |
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224 %! y = 2*pi*(0:1:N-1)/N; |
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225 %! sx = cos(m*x); |
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226 %! sy = sin(n*y); |
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227 %! s=kron(sx',sy); |
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228 %! S = fft2(s); |
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229 %! answer = kron(fft(sx)',fft(sy)); |
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230 %! assert(S, answer, 4*M*N*eps); |
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231 |
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232 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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233 %% Comalco Research and Technology |
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234 %% 02 May 2000 |
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235 %!test |
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236 %! M=12; |
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237 %! N=7; |
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238 %! |
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239 %! m=3; |
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240 %! n=2; |
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241 %! |
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242 %! x = 2*pi*(0:1:M-1)/M; |
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243 %! y = 2*pi*(0:1:N-1)/N; |
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244 %! |
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245 %! sx = cos(m*x); |
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246 %! sy = cos(n*y); |
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247 %! |
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248 %! S = kron(fft(sx)',fft(sy)); |
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249 %! answer=kron(sx',sy); |
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250 %! s = ifft2(S); |
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251 %! |
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252 %! assert(s, answer, 30*eps); |
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253 |
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254 |
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255 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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256 %% Comalco Research and Technology |
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257 %% 02 May 2000 |
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258 %!test |
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259 %! M=16; |
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260 %! N=8; |
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261 %! |
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262 %! m=5; |
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263 %! n=3; |
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264 %! |
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265 %! x = 2*pi*(0:1:M-1)/M; |
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266 %! y = 2*pi*(0:1:N-1)/N; |
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267 %! sx = single(cos(m*x)); |
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268 %! sy = single(sin(n*y)); |
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269 %! s=kron(sx',sy); |
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270 %! S = fft2(s); |
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271 %! answer = kron(fft(sx)',fft(sy)); |
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272 %! assert(S, answer, 4*M*N*eps('single')); |
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273 |
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274 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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275 %% Comalco Research and Technology |
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276 %% 02 May 2000 |
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277 %!test |
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278 %! M=12; |
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279 %! N=7; |
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280 %! |
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281 %! m=3; |
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282 %! n=2; |
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283 %! |
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284 %! x = single(2*pi*(0:1:M-1)/M); |
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285 %! y = single(2*pi*(0:1:N-1)/N); |
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286 %! |
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287 %! sx = cos(m*x); |
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288 %! sy = cos(n*y); |
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289 %! |
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290 %! S = kron(fft(sx)',fft(sy)); |
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291 %! answer=kron(sx',sy); |
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292 %! s = ifft2(S); |
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293 %! |
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294 %! assert(s, answer, 30*eps('single')); |
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295 |
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296 */ |