Mercurial > octave
annotate libinterp/corefcn/fft2.cc @ 25054:6652d3823428 stable
maint: Update copyright dates in all source files.
author | John W. Eaton <jwe@octave.org> |
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date | Fri, 30 Mar 2018 09:19:05 -0400 |
parents | e6b22e378389 |
children | 59f4fda5c548 |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1997-2018 David Bateman |
11523 | 4 Copyright (C) 1996-1997 John W. Eaton |
2928 | 5 |
6 This file is part of Octave. | |
7 | |
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8 Octave is free software: you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by |
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10 the Free Software Foundation, either version 3 of the License, or |
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11 (at your option) any later version. |
2928 | 12 |
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13 Octave is distributed in the hope that it will be useful, but |
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14 WITHOUT ANY WARRANTY; without even the implied warranty of |
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15 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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16 GNU General Public License for more details. |
2928 | 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 |
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20 <https://www.gnu.org/licenses/>. |
2928 | 21 |
22 */ | |
23 | |
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24 #if defined (HAVE_CONFIG_H) |
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25 # include "config.h" |
2928 | 26 #endif |
27 | |
28 #include "lo-mappers.h" | |
29 | |
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30 #include "defun.h" |
2928 | 31 #include "error.h" |
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32 #include "errwarn.h" |
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33 #include "ovl.h" |
2928 | 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 | |
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45 do_fft2 (const octave_value_list& args, const char *fcn, int type) |
2928 | 46 { |
47 int nargin = args.length (); | |
48 | |
49 if (nargin < 1 || nargin > 3) | |
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50 print_usage (); |
2928 | 51 |
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52 octave_value retval; |
2928 | 53 octave_value arg = args(0); |
4773 | 54 dim_vector dims = arg.dims (); |
5275 | 55 octave_idx_type n_rows = -1; |
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56 |
2928 | 57 if (nargin > 1) |
58 { | |
59 double dval = args(1).double_value (); | |
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60 if (octave::math::isnan (dval)) |
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61 error ("%s: number of rows (N) cannot be NaN", fcn); |
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62 |
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63 n_rows = octave::math::nint_big (dval); |
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64 if (n_rows < 0) |
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65 error ("%s: number of rows (N) must be greater than zero", fcn); |
2928 | 66 } |
67 | |
5275 | 68 octave_idx_type n_cols = -1; |
2928 | 69 if (nargin > 2) |
70 { | |
71 double dval = args(2).double_value (); | |
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72 if (octave::math::isnan (dval)) |
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73 error ("%s: number of columns (M) cannot be NaN", fcn); |
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74 |
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75 n_cols = octave::math::nint_big (dval); |
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76 if (n_cols < 0) |
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77 error ("%s: number of columns (M) must be greater than zero", fcn); |
2928 | 78 } |
79 | |
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80 for (int i = 0; i < dims.ndims (); i++) |
4773 | 81 if (dims(i) < 0) |
2928 | 82 return retval; |
83 | |
4773 | 84 if (n_rows < 0) |
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85 n_rows = dims(0); |
4773 | 86 else |
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87 dims(0) = n_rows; |
2928 | 88 |
4773 | 89 if (n_cols < 0) |
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90 n_cols = dims(1); |
4773 | 91 else |
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92 dims(1) = n_cols; |
4773 | 93 |
94 if (dims.all_zero () || n_rows == 0 || n_cols == 0) | |
7924 | 95 { |
96 if (arg.is_single_type ()) | |
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97 return octave_value (FloatMatrix ()); |
7924 | 98 else |
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99 return octave_value (Matrix ()); |
7924 | 100 } |
2928 | 101 |
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102 if (arg.is_single_type ()) |
2928 | 103 { |
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104 if (arg.isreal ()) |
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105 { |
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106 FloatNDArray nda = arg.float_array_value (); |
2928 | 107 |
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108 nda.resize (dims, 0.0); |
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109 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ()); |
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110 } |
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111 else |
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112 { |
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113 FloatComplexNDArray cnda = arg.float_complex_array_value (); |
2928 | 114 |
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115 cnda.resize (dims, 0.0); |
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116 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ()); |
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117 } |
2928 | 118 } |
119 else | |
120 { | |
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121 if (arg.isreal ()) |
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122 { |
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123 NDArray nda = arg.array_value (); |
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124 |
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125 nda.resize (dims, 0.0); |
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126 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ()); |
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127 } |
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128 else if (arg.iscomplex ()) |
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129 { |
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130 ComplexNDArray cnda = arg.complex_array_value (); |
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131 |
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132 cnda.resize (dims, 0.0); |
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133 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ()); |
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134 } |
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135 else |
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136 err_wrong_type_arg (fcn, arg); |
2928 | 137 } |
138 | |
139 return retval; | |
140 } | |
141 | |
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142 DEFUN (fft2, args, , |
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143 doc: /* -*- texinfo -*- |
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144 @deftypefn {} {} fft2 (@var{A}) |
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145 @deftypefnx {} {} fft2 (@var{A}, @var{m}, @var{n}) |
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146 Compute the two-dimensional discrete Fourier transform of @var{A} using |
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147 a Fast Fourier Transform (FFT) algorithm. |
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148 |
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149 The optional arguments @var{m} and @var{n} may be used specify the number of |
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150 rows and columns of @var{A} to use. If either of these is larger than the |
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151 size of @var{A}, @var{A} is resized and padded with zeros. |
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152 |
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153 If @var{A} is a multi-dimensional matrix, each two-dimensional sub-matrix |
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154 of @var{A} is treated separately. |
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155 @seealso{ifft2, fft, fftn, fftw} |
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156 @end deftypefn */) |
4773 | 157 { |
4782 | 158 return do_fft2 (args, "fft2", 0); |
4773 | 159 } |
160 | |
161 | |
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162 DEFUN (ifft2, args, , |
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163 doc: /* -*- texinfo -*- |
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164 @deftypefn {} {} ifft2 (@var{A}) |
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165 @deftypefnx {} {} ifft2 (@var{A}, @var{m}, @var{n}) |
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166 Compute the inverse two-dimensional discrete Fourier transform of @var{A} |
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167 using a Fast Fourier Transform (FFT) algorithm. |
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168 |
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169 The optional arguments @var{m} and @var{n} may be used specify the number of |
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171 size of @var{A}, @var{A} is resized and padded with zeros. |
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172 |
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173 If @var{A} is a multi-dimensional matrix, each two-dimensional sub-matrix |
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174 of @var{A} is treated separately. |
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175 @seealso{fft2, ifft, ifftn, fftw} |
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176 @end deftypefn */) |
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4782 | 178 return do_fft2 (args, "ifft2", 1); |
4773 | 179 } |
180 | |
2928 | 181 /* |
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182 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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183 ## Comalco Research and Technology |
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184 ## 02 May 2000 |
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185 %!test |
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186 %! M = 16; |
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187 %! N = 8; |
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188 %! |
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189 %! m = 5; |
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190 %! n = 3; |
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191 %! |
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192 %! x = 2*pi*(0:1:M-1)/M; |
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193 %! y = 2*pi*(0:1:N-1)/N; |
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194 %! sx = cos (m*x); |
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195 %! sy = sin (n*y); |
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196 %! s = kron (sx',sy); |
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197 %! S = fft2 (s); |
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198 %! answer = kron (fft (sx)', fft (sy)); |
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199 %! assert (S, answer, 4*M*N*eps); |
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200 |
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201 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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202 ## Comalco Research and Technology |
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203 ## 02 May 2000 |
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204 %!test |
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205 %! M = 12; |
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206 %! N = 7; |
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207 %! |
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208 %! m = 3; |
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209 %! n = 2; |
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210 %! |
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211 %! x = 2*pi*(0:1:M-1)/M; |
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212 %! y = 2*pi*(0:1:N-1)/N; |
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213 %! |
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214 %! sx = cos (m*x); |
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215 %! sy = cos (n*y); |
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216 %! |
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217 %! S = kron (fft (sx)', fft (sy)); |
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218 %! answer = kron (sx', sy); |
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219 %! s = ifft2 (S); |
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220 %! |
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221 %! assert (s, answer, 30*eps); |
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222 |
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223 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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224 ## Comalco Research and Technology |
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225 ## 02 May 2000 |
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226 %!test |
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227 %! M = 16; |
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228 %! N = 8; |
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229 %! |
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230 %! m = 5; |
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231 %! n = 3; |
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232 %! |
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233 %! x = 2*pi*(0:1:M-1)/M; |
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234 %! y = 2*pi*(0:1:N-1)/N; |
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235 %! sx = single (cos (m*x)); |
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236 %! sy = single (sin (n*y)); |
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237 %! s = kron (sx', sy); |
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238 %! S = fft2 (s); |
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239 %! answer = kron (fft (sx)', fft (sy)); |
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240 %! assert (S, answer, 4*M*N*eps ("single")); |
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241 |
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242 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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243 ## Comalco Research and Technology |
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244 ## 02 May 2000 |
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245 %!test |
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246 %! M = 12; |
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247 %! N = 7; |
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248 %! |
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249 %! m = 3; |
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250 %! n = 2; |
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251 %! |
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252 %! x = single (2*pi*(0:1:M-1)/M); |
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253 %! y = single (2*pi*(0:1:N-1)/N); |
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254 %! |
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255 %! sx = cos (m*x); |
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256 %! sy = cos (n*y); |
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257 %! |
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258 %! S = kron (fft (sx)', fft (sy)); |
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259 %! answer = kron (sx', sy); |
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260 %! s = ifft2 (S); |
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261 %! |
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262 %! assert (s, answer, 30*eps ("single")); |
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263 */ |