annotate libinterp/corefcn/fft2.cc @ 25586:59f4fda5c548

remove fftpack sources We now require FFTW to perform FFT calculations. * liboctave/external/fftpack: Delete directory and all files. * liboctave/external/module.mk: Update. * lo-fftpack-proto.h: Delete. * liboctave/numeric/module.mk: Update. * CMatrix.cc, CNDArray.cc, dMatrix.cc, dNDArray.cc, fCMatrix.cc, fCNDArray.cc, fMatrix.cc, fNDArray.cc: Require FFTW to compute FFT. * interpft.m, fftconv.m, fftfilt.m, freqz.m, fft.cc, fft2.cc, fftn.cc: Use TESTIF HAVE_FFTW as needed. * NEWS: Note change.
author John W. Eaton <jwe@octave.org>
date Wed, 11 Jul 2018 17:41:36 -0400
parents 6652d3823428
children 00f796120a6d
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rev   line source
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1 /*
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2
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3 Copyright (C) 1997-2018 David Bateman
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4 Copyright (C) 1996-1997 John W. Eaton
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5
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6 This file is part of Octave.
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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.
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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.
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <https://www.gnu.org/licenses/>.
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22 */
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23
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24 #if defined (HAVE_CONFIG_H)
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25 # include "config.h"
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26 #endif
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27
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28 #include "lo-mappers.h"
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29
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30 #include "defun.h"
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31 #include "error.h"
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32 #include "errwarn.h"
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33 #include "ovl.h"
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34 #include "utils.h"
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35
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36 // This function should be merged with Fifft.
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37
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38 static octave_value
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39 do_fft2 (const octave_value_list& args, const char *fcn, int type)
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40 {
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41 int nargin = args.length ();
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42
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43 if (nargin < 1 || nargin > 3)
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44 print_usage ();
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45
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46 octave_value retval;
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47 octave_value arg = args(0);
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48 dim_vector dims = arg.dims ();
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49 octave_idx_type n_rows = -1;
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50
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51 if (nargin > 1)
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52 {
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53 double dval = args(1).double_value ();
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54 if (octave::math::isnan (dval))
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55 error ("%s: number of rows (N) cannot be NaN", fcn);
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56
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57 n_rows = octave::math::nint_big (dval);
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58 if (n_rows < 0)
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59 error ("%s: number of rows (N) must be greater than zero", fcn);
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60 }
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62 octave_idx_type n_cols = -1;
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63 if (nargin > 2)
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64 {
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65 double dval = args(2).double_value ();
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66 if (octave::math::isnan (dval))
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67 error ("%s: number of columns (M) cannot be NaN", fcn);
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68
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69 n_cols = octave::math::nint_big (dval);
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70 if (n_cols < 0)
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71 error ("%s: number of columns (M) must be greater than zero", fcn);
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72 }
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74 for (int i = 0; i < dims.ndims (); i++)
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75 if (dims(i) < 0)
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76 return retval;
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79 n_rows = dims(0);
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80 else
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81 dims(0) = n_rows;
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84 n_cols = dims(1);
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85 else
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86 dims(1) = n_cols;
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88 if (dims.all_zero () || n_rows == 0 || n_cols == 0)
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89 {
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90 if (arg.is_single_type ())
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91 return octave_value (FloatMatrix ());
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92 else
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93 return octave_value (Matrix ());
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94 }
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96 if (arg.is_single_type ())
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97 {
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98 if (arg.isreal ())
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99 {
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100 FloatNDArray nda = arg.float_array_value ();
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101
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102 nda.resize (dims, 0.0);
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103 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ());
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104 }
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105 else
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106 {
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107 FloatComplexNDArray cnda = arg.float_complex_array_value ();
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108
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109 cnda.resize (dims, 0.0);
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110 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ());
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111 }
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112 }
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113 else
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114 {
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115 if (arg.isreal ())
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116 {
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117 NDArray nda = arg.array_value ();
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118
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119 nda.resize (dims, 0.0);
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120 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ());
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121 }
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122 else if (arg.iscomplex ())
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123 {
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124 ComplexNDArray cnda = arg.complex_array_value ();
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125
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126 cnda.resize (dims, 0.0);
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127 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ());
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128 }
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129 else
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130 err_wrong_type_arg (fcn, arg);
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131 }
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132
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133 return retval;
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134 }
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135
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136 DEFUN (fft2, args, ,
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137 doc: /* -*- texinfo -*-
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138 @deftypefn {} {} fft2 (@var{A})
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139 @deftypefnx {} {} fft2 (@var{A}, @var{m}, @var{n})
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140 Compute the two-dimensional discrete Fourier transform of @var{A} using
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141 a Fast Fourier Transform (FFT) algorithm.
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142
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143 The optional arguments @var{m} and @var{n} may be used specify the number of
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144 rows and columns of @var{A} to use. If either of these is larger than the
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145 size of @var{A}, @var{A} is resized and padded with zeros.
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146
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147 If @var{A} is a multi-dimensional matrix, each two-dimensional sub-matrix
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148 of @var{A} is treated separately.
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149 @seealso{ifft2, fft, fftn, fftw}
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150 @end deftypefn */)
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151 {
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152 return do_fft2 (args, "fft2", 0);
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153 }
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154
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155
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156 DEFUN (ifft2, args, ,
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157 doc: /* -*- texinfo -*-
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158 @deftypefn {} {} ifft2 (@var{A})
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159 @deftypefnx {} {} ifft2 (@var{A}, @var{m}, @var{n})
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160 Compute the inverse two-dimensional discrete Fourier transform of @var{A}
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161 using a Fast Fourier Transform (FFT) algorithm.
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162
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163 The optional arguments @var{m} and @var{n} may be used specify the number of
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164 rows and columns of @var{A} to use. If either of these is larger than the
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165 size of @var{A}, @var{A} is resized and padded with zeros.
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166
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167 If @var{A} is a multi-dimensional matrix, each two-dimensional sub-matrix
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168 of @var{A} is treated separately.
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169 @seealso{fft2, ifft, ifftn, fftw}
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170 @end deftypefn */)
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171 {
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172 return do_fft2 (args, "ifft2", 1);
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173 }
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174
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175 /*
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176 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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177 ## Comalco Research and Technology
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178 ## 02 May 2000
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179 %!testif HAVE_FFTW
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180 %! M = 16;
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181 %! N = 8;
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182 %!
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183 %! m = 5;
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184 %! n = 3;
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185 %!
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186 %! x = 2*pi*(0:1:M-1)/M;
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187 %! y = 2*pi*(0:1:N-1)/N;
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188 %! sx = cos (m*x);
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189 %! sy = sin (n*y);
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190 %! s = kron (sx',sy);
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191 %! S = fft2 (s);
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192 %! answer = kron (fft (sx)', fft (sy));
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193 %! assert (S, answer, 4*M*N*eps);
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194
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195 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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196 ## Comalco Research and Technology
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197 ## 02 May 2000
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198 %!testif HAVE_FFTW
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199 %! M = 12;
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200 %! N = 7;
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201 %!
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202 %! m = 3;
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203 %! n = 2;
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204 %!
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205 %! x = 2*pi*(0:1:M-1)/M;
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206 %! y = 2*pi*(0:1:N-1)/N;
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207 %!
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208 %! sx = cos (m*x);
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209 %! sy = cos (n*y);
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210 %!
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211 %! S = kron (fft (sx)', fft (sy));
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212 %! answer = kron (sx', sy);
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213 %! s = ifft2 (S);
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214 %!
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215 %! assert (s, answer, 30*eps);
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216
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217 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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218 ## Comalco Research and Technology
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219 ## 02 May 2000
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220 %!testif HAVE_FFTW
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221 %! M = 16;
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222 %! N = 8;
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223 %!
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224 %! m = 5;
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225 %! n = 3;
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226 %!
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227 %! x = 2*pi*(0:1:M-1)/M;
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228 %! y = 2*pi*(0:1:N-1)/N;
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229 %! sx = single (cos (m*x));
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230 %! sy = single (sin (n*y));
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231 %! s = kron (sx', sy);
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232 %! S = fft2 (s);
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233 %! answer = kron (fft (sx)', fft (sy));
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234 %! assert (S, answer, 4*M*N*eps ("single"));
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235
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236 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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237 ## Comalco Research and Technology
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238 ## 02 May 2000
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239 %!testif HAVE_FFTW
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240 %! M = 12;
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241 %! N = 7;
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242 %!
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243 %! m = 3;
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244 %! n = 2;
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245 %!
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246 %! x = single (2*pi*(0:1:M-1)/M);
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247 %! y = single (2*pi*(0:1:N-1)/N);
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248 %!
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249 %! sx = cos (m*x);
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250 %! sy = cos (n*y);
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251 %!
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252 %! S = kron (fft (sx)', fft (sy));
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253 %! answer = kron (sx', sy);
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254 %! s = ifft2 (S);
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255 %!
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256 %! assert (s, answer, 30*eps ("single"));
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257 */