Mercurial > octave
annotate libinterp/corefcn/fft2.cc @ 30564:796f54d4ddbf stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
In all .txi and .texi files except gpl.txi and gpl.texi in the
doc/liboctave and doc/interpreter directories, change the copyright
to "Octave Project Developers", the same as used for other source
files. Update copyright notices for 2022 (not done since 2019). For
gpl.txi and gpl.texi, change the copyright notice to be "Free Software
Foundation, Inc." and leave the date at 2007 only because this file
only contains the text of the GPL, not anything created by the Octave
Project Developers.
Add Paul Thomas to contributors.in.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 28 Dec 2021 18:22:40 -0500 |
parents | 7d6709900da7 |
children | 32d2b6604a9f |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 1996-2022 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
2928 | 25 |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
2928 | 28 #endif |
29 | |
30 #include "lo-mappers.h" | |
31 | |
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32 #include "defun.h" |
2928 | 33 #include "error.h" |
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34 #include "errwarn.h" |
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35 #include "ovl.h" |
2928 | 36 #include "utils.h" |
37 | |
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38 OCTAVE_NAMESPACE_BEGIN |
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39 |
4773 | 40 // This function should be merged with Fifft. |
2928 | 41 |
4773 | 42 static octave_value |
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43 do_fft2 (const octave_value_list& args, const char *fcn, int type) |
2928 | 44 { |
45 int nargin = args.length (); | |
46 | |
47 if (nargin < 1 || nargin > 3) | |
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48 print_usage (); |
2928 | 49 |
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50 octave_value retval; |
2928 | 51 octave_value arg = args(0); |
4773 | 52 dim_vector dims = arg.dims (); |
5275 | 53 octave_idx_type n_rows = -1; |
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54 |
2928 | 55 if (nargin > 1) |
56 { | |
57 double dval = args(1).double_value (); | |
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58 if (math::isnan (dval)) |
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59 error ("%s: number of rows (N) cannot be NaN", fcn); |
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60 |
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61 n_rows = math::nint_big (dval); |
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62 if (n_rows < 0) |
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63 error ("%s: number of rows (N) must be greater than zero", fcn); |
2928 | 64 } |
65 | |
5275 | 66 octave_idx_type n_cols = -1; |
2928 | 67 if (nargin > 2) |
68 { | |
69 double dval = args(2).double_value (); | |
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70 if (math::isnan (dval)) |
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71 error ("%s: number of columns (M) cannot be NaN", fcn); |
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72 |
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73 n_cols = math::nint_big (dval); |
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74 if (n_cols < 0) |
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75 error ("%s: number of columns (M) must be greater than zero", fcn); |
2928 | 76 } |
77 | |
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78 for (int i = 0; i < dims.ndims (); i++) |
4773 | 79 if (dims(i) < 0) |
2928 | 80 return retval; |
81 | |
4773 | 82 if (n_rows < 0) |
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83 n_rows = dims(0); |
4773 | 84 else |
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85 dims(0) = n_rows; |
2928 | 86 |
4773 | 87 if (n_cols < 0) |
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88 n_cols = dims(1); |
4773 | 89 else |
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90 dims(1) = n_cols; |
4773 | 91 |
92 if (dims.all_zero () || n_rows == 0 || n_cols == 0) | |
7924 | 93 { |
94 if (arg.is_single_type ()) | |
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95 return octave_value (FloatMatrix ()); |
7924 | 96 else |
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97 return octave_value (Matrix ()); |
7924 | 98 } |
2928 | 99 |
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100 if (arg.is_single_type ()) |
2928 | 101 { |
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102 if (arg.isreal ()) |
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103 { |
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104 FloatNDArray nda = arg.float_array_value (); |
2928 | 105 |
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106 nda.resize (dims, 0.0); |
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107 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ()); |
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108 } |
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109 else |
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110 { |
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111 FloatComplexNDArray cnda = arg.float_complex_array_value (); |
2928 | 112 |
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113 cnda.resize (dims, 0.0); |
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114 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ()); |
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115 } |
2928 | 116 } |
117 else | |
118 { | |
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119 if (arg.isreal ()) |
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120 { |
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121 NDArray nda = arg.array_value (); |
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122 |
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123 nda.resize (dims, 0.0); |
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124 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ()); |
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125 } |
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126 else if (arg.iscomplex ()) |
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127 { |
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128 ComplexNDArray cnda = arg.complex_array_value (); |
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129 |
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130 cnda.resize (dims, 0.0); |
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131 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ()); |
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132 } |
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133 else |
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134 err_wrong_type_arg (fcn, arg); |
2928 | 135 } |
136 | |
137 return retval; | |
138 } | |
139 | |
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140 DEFUN (fft2, args, , |
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141 doc: /* -*- texinfo -*- |
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142 @deftypefn {} {} fft2 (@var{A}) |
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143 @deftypefnx {} {} fft2 (@var{A}, @var{m}, @var{n}) |
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144 Compute the two-dimensional discrete Fourier transform of @var{A} using |
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145 a Fast Fourier Transform (FFT) algorithm. |
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146 |
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147 The optional arguments @var{m} and @var{n} may be used specify the number of |
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148 rows and columns of @var{A} to use. If either of these is larger than the |
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149 size of @var{A}, @var{A} is resized and padded with zeros. |
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150 |
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151 If @var{A} is a multi-dimensional matrix, each two-dimensional sub-matrix |
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152 of @var{A} is treated separately. |
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153 @seealso{ifft2, fft, fftn, fftw} |
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154 @end deftypefn */) |
4773 | 155 { |
4782 | 156 return do_fft2 (args, "fft2", 0); |
4773 | 157 } |
158 | |
159 | |
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160 DEFUN (ifft2, args, , |
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161 doc: /* -*- texinfo -*- |
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162 @deftypefn {} {} ifft2 (@var{A}) |
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163 @deftypefnx {} {} ifft2 (@var{A}, @var{m}, @var{n}) |
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164 Compute the inverse two-dimensional discrete Fourier transform of @var{A} |
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165 using a Fast Fourier Transform (FFT) algorithm. |
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166 |
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167 The optional arguments @var{m} and @var{n} may be used specify the number of |
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168 rows and columns of @var{A} to use. If either of these is larger than the |
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169 size of @var{A}, @var{A} is resized and padded with zeros. |
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170 |
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171 If @var{A} is a multi-dimensional matrix, each two-dimensional sub-matrix |
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172 of @var{A} is treated separately. |
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173 @seealso{fft2, ifft, ifftn, fftw} |
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174 @end deftypefn */) |
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4773 | 177 } |
178 | |
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180 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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181 ## Comalco Research and Technology |
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182 ## 02 May 2000 |
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184 %! M = 16; |
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185 %! N = 8; |
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186 %! |
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187 %! m = 5; |
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188 %! n = 3; |
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189 %! |
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190 %! x = 2*pi*(0:1:M-1)/M; |
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191 %! y = 2*pi*(0:1:N-1)/N; |
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192 %! sx = cos (m*x); |
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193 %! sy = sin (n*y); |
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194 %! s = kron (sx',sy); |
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195 %! S = fft2 (s); |
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196 %! answer = kron (fft (sx)', fft (sy)); |
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197 %! assert (S, answer, 4*M*N*eps); |
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198 |
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199 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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200 ## Comalco Research and Technology |
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201 ## 02 May 2000 |
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203 %! M = 12; |
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204 %! N = 7; |
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205 %! |
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206 %! m = 3; |
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207 %! n = 2; |
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208 %! |
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209 %! x = 2*pi*(0:1:M-1)/M; |
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210 %! y = 2*pi*(0:1:N-1)/N; |
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211 %! |
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212 %! sx = cos (m*x); |
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213 %! sy = cos (n*y); |
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214 %! |
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215 %! S = kron (fft (sx)', fft (sy)); |
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216 %! answer = kron (sx', sy); |
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217 %! s = ifft2 (S); |
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218 %! |
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219 %! assert (s, answer, 30*eps); |
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220 |
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221 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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222 ## Comalco Research and Technology |
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223 ## 02 May 2000 |
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225 %! M = 16; |
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226 %! N = 8; |
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227 %! |
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228 %! m = 5; |
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229 %! n = 3; |
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230 %! |
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231 %! x = 2*pi*(0:1:M-1)/M; |
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232 %! y = 2*pi*(0:1:N-1)/N; |
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233 %! sx = single (cos (m*x)); |
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234 %! sy = single (sin (n*y)); |
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235 %! s = kron (sx', sy); |
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236 %! S = fft2 (s); |
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237 %! answer = kron (fft (sx)', fft (sy)); |
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238 %! assert (S, answer, 4*M*N*eps ("single")); |
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239 |
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240 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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241 ## Comalco Research and Technology |
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242 ## 02 May 2000 |
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244 %! M = 12; |
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245 %! N = 7; |
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246 %! |
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247 %! m = 3; |
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248 %! n = 2; |
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249 %! |
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250 %! x = single (2*pi*(0:1:M-1)/M); |
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251 %! y = single (2*pi*(0:1:N-1)/N); |
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252 %! |
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253 %! sx = cos (m*x); |
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254 %! sy = cos (n*y); |
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255 %! |
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256 %! S = kron (fft (sx)', fft (sy)); |
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257 %! answer = kron (sx', sy); |
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258 %! s = ifft2 (S); |
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259 %! |
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260 %! assert (s, answer, 30*eps ("single")); |
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261 */ |
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262 |
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263 OCTAVE_NAMESPACE_END |