annotate libinterp/corefcn/fft2.cc @ 25054:6652d3823428 stable

maint: Update copyright dates in all source files.
author John W. Eaton <jwe@octave.org>
date Fri, 30 Mar 2018 09:19:05 -0400
parents e6b22e378389
children 59f4fda5c548
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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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17
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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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21
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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 #if defined (HAVE_FFTW)
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39 # define FFTSRC "@sc{fftw}"
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40 #else
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41 # define FFTSRC "@sc{fftpack}"
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42 #endif
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43
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44 static octave_value
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45 do_fft2 (const octave_value_list& args, const char *fcn, int type)
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46 {
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47 int nargin = args.length ();
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48
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49 if (nargin < 1 || nargin > 3)
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50 print_usage ();
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51
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52 octave_value retval;
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53 octave_value arg = args(0);
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54 dim_vector dims = arg.dims ();
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55 octave_idx_type n_rows = -1;
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56
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57 if (nargin > 1)
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58 {
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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);
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66 }
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67
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68 octave_idx_type n_cols = -1;
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69 if (nargin > 2)
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70 {
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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);
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78 }
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79
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80 for (int i = 0; i < dims.ndims (); i++)
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81 if (dims(i) < 0)
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82 return retval;
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83
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84 if (n_rows < 0)
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85 n_rows = dims(0);
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86 else
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87 dims(0) = n_rows;
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88
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89 if (n_cols < 0)
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90 n_cols = dims(1);
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91 else
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92 dims(1) = n_cols;
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93
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94 if (dims.all_zero () || n_rows == 0 || n_cols == 0)
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95 {
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96 if (arg.is_single_type ())
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97 return octave_value (FloatMatrix ());
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98 else
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99 return octave_value (Matrix ());
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100 }
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101
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102 if (arg.is_single_type ())
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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 ();
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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 ();
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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 }
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118 }
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119 else
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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);
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137 }
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138
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139 return retval;
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140 }
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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 */)
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157 {
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158 return do_fft2 (args, "fft2", 0);
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159 }
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160
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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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170 rows and columns of @var{A} to use. If either of these is larger than the
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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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177 {
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178 return do_fft2 (args, "ifft2", 1);
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179 }
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180
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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 */