annotate libinterp/corefcn/fft2.cc @ 27919:1891570abac8

update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2020.
author John W. Eaton <jwe@octave.org>
date Mon, 06 Jan 2020 22:29:51 -0500
parents b442ec6dda5c
children bd51beb6205e
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1 /*
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2
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1891570abac8 update Octave Project Developers copyright for the new year
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3 Copyright (C) 1996-2020 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 distribution
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6 or <https://octave.org/COPYRIGHT.html/>.
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7
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8
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9 This file is part of Octave.
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10
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11 Octave is free software: you can redistribute it and/or modify it
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12 under the terms of the GNU General Public License as published by
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13 the Free Software Foundation, either version 3 of the License, or
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14 (at your option) any later version.
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15
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16 Octave is distributed in the hope that it will be useful, but
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17 WITHOUT ANY WARRANTY; without even the implied warranty of
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18 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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19 GNU General Public License for more details.
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20
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21 You should have received a copy of the GNU General Public License
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22 along with Octave; see the file COPYING. If not, see
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23 <https://www.gnu.org/licenses/>.
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24
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25 */
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26
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27 #if defined (HAVE_CONFIG_H)
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28 # include "config.h"
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29 #endif
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30
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31 #include "lo-mappers.h"
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32
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33 #include "defun.h"
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34 #include "error.h"
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35 #include "errwarn.h"
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36 #include "ovl.h"
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37 #include "utils.h"
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38
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39 // This function should be merged with Fifft.
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40
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41 static octave_value
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42 do_fft2 (const octave_value_list& args, const char *fcn, int type)
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43 {
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44 int nargin = args.length ();
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45
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46 if (nargin < 1 || nargin > 3)
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47 print_usage ();
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48
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49 octave_value retval;
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50 octave_value arg = args(0);
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51 dim_vector dims = arg.dims ();
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52 octave_idx_type n_rows = -1;
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53
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54 if (nargin > 1)
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55 {
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56 double dval = args(1).double_value ();
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57 if (octave::math::isnan (dval))
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58 error ("%s: number of rows (N) cannot be NaN", fcn);
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59
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60 n_rows = octave::math::nint_big (dval);
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61 if (n_rows < 0)
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62 error ("%s: number of rows (N) must be greater than zero", fcn);
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63 }
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64
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65 octave_idx_type n_cols = -1;
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66 if (nargin > 2)
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67 {
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68 double dval = args(2).double_value ();
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69 if (octave::math::isnan (dval))
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70 error ("%s: number of columns (M) cannot be NaN", fcn);
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71
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72 n_cols = octave::math::nint_big (dval);
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73 if (n_cols < 0)
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74 error ("%s: number of columns (M) must be greater than zero", fcn);
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75 }
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76
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77 for (int i = 0; i < dims.ndims (); i++)
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78 if (dims(i) < 0)
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79 return retval;
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80
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81 if (n_rows < 0)
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82 n_rows = dims(0);
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83 else
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84 dims(0) = n_rows;
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85
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86 if (n_cols < 0)
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87 n_cols = dims(1);
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88 else
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89 dims(1) = n_cols;
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90
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91 if (dims.all_zero () || n_rows == 0 || n_cols == 0)
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92 {
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93 if (arg.is_single_type ())
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94 return octave_value (FloatMatrix ());
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95 else
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96 return octave_value (Matrix ());
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97 }
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98
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99 if (arg.is_single_type ())
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100 {
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101 if (arg.isreal ())
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102 {
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103 FloatNDArray nda = arg.float_array_value ();
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104
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105 nda.resize (dims, 0.0);
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106 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ());
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107 }
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108 else
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109 {
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110 FloatComplexNDArray cnda = arg.float_complex_array_value ();
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111
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112 cnda.resize (dims, 0.0);
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113 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ());
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114 }
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115 }
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116 else
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117 {
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118 if (arg.isreal ())
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119 {
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120 NDArray nda = arg.array_value ();
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121
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122 nda.resize (dims, 0.0);
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123 retval = (type != 0 ? nda.ifourier2d () : nda.fourier2d ());
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124 }
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125 else if (arg.iscomplex ())
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126 {
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127 ComplexNDArray cnda = arg.complex_array_value ();
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128
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129 cnda.resize (dims, 0.0);
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130 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ());
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131 }
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132 else
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133 err_wrong_type_arg (fcn, arg);
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134 }
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135
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136 return retval;
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137 }
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138
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139 DEFUN (fft2, args, ,
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140 doc: /* -*- texinfo -*-
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141 @deftypefn {} {} fft2 (@var{A})
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142 @deftypefnx {} {} fft2 (@var{A}, @var{m}, @var{n})
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143 Compute the two-dimensional discrete Fourier transform of @var{A} using
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144 a Fast Fourier Transform (FFT) algorithm.
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145
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146 The optional arguments @var{m} and @var{n} may be used specify the number of
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147 rows and columns of @var{A} to use. If either of these is larger than the
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148 size of @var{A}, @var{A} is resized and padded with zeros.
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149
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150 If @var{A} is a multi-dimensional matrix, each two-dimensional sub-matrix
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151 of @var{A} is treated separately.
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152 @seealso{ifft2, fft, fftn, fftw}
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153 @end deftypefn */)
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154 {
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155 return do_fft2 (args, "fft2", 0);
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156 }
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157
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158
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159 DEFUN (ifft2, args, ,
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160 doc: /* -*- texinfo -*-
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161 @deftypefn {} {} ifft2 (@var{A})
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162 @deftypefnx {} {} ifft2 (@var{A}, @var{m}, @var{n})
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163 Compute the inverse two-dimensional discrete Fourier transform of @var{A}
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164 using a Fast Fourier Transform (FFT) algorithm.
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165
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166 The optional arguments @var{m} and @var{n} may be used specify the number of
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167 rows and columns of @var{A} to use. If either of these is larger than the
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168 size of @var{A}, @var{A} is resized and padded with zeros.
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169
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170 If @var{A} is a multi-dimensional matrix, each two-dimensional sub-matrix
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171 of @var{A} is treated separately.
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172 @seealso{fft2, ifft, ifftn, fftw}
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173 @end deftypefn */)
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174 {
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175 return do_fft2 (args, "ifft2", 1);
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176 }
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177
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178 /*
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179 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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180 ## Comalco Research and Technology
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181 ## 02 May 2000
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182 %!testif HAVE_FFTW
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183 %! M = 16;
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184 %! N = 8;
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185 %!
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186 %! m = 5;
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187 %! n = 3;
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188 %!
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189 %! x = 2*pi*(0:1:M-1)/M;
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190 %! y = 2*pi*(0:1:N-1)/N;
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191 %! sx = cos (m*x);
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192 %! sy = sin (n*y);
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193 %! s = kron (sx',sy);
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194 %! S = fft2 (s);
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195 %! answer = kron (fft (sx)', fft (sy));
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196 %! assert (S, answer, 4*M*N*eps);
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197
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198 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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199 ## Comalco Research and Technology
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200 ## 02 May 2000
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201 %!testif HAVE_FFTW
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202 %! M = 12;
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203 %! N = 7;
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204 %!
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205 %! m = 3;
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206 %! n = 2;
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207 %!
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208 %! x = 2*pi*(0:1:M-1)/M;
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209 %! y = 2*pi*(0:1:N-1)/N;
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210 %!
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211 %! sx = cos (m*x);
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212 %! sy = cos (n*y);
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213 %!
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214 %! S = kron (fft (sx)', fft (sy));
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215 %! answer = kron (sx', sy);
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216 %! s = ifft2 (S);
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217 %!
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218 %! assert (s, answer, 30*eps);
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219
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220 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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221 ## Comalco Research and Technology
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222 ## 02 May 2000
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223 %!testif HAVE_FFTW
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224 %! M = 16;
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225 %! N = 8;
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226 %!
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227 %! m = 5;
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228 %! n = 3;
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229 %!
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230 %! x = 2*pi*(0:1:M-1)/M;
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231 %! y = 2*pi*(0:1:N-1)/N;
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232 %! sx = single (cos (m*x));
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233 %! sy = single (sin (n*y));
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234 %! s = kron (sx', sy);
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235 %! S = fft2 (s);
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236 %! answer = kron (fft (sx)', fft (sy));
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237 %! assert (S, answer, 4*M*N*eps ("single"));
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238
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239 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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240 ## Comalco Research and Technology
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241 ## 02 May 2000
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242 %!testif HAVE_FFTW
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243 %! M = 12;
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244 %! N = 7;
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245 %!
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246 %! m = 3;
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247 %! n = 2;
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248 %!
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249 %! x = single (2*pi*(0:1:M-1)/M);
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250 %! y = single (2*pi*(0:1:N-1)/N);
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251 %!
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252 %! sx = cos (m*x);
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253 %! sy = cos (n*y);
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254 %!
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255 %! S = kron (fft (sx)', fft (sy));
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256 %! answer = kron (sx', sy);
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257 %! s = ifft2 (S);
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258 %!
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259 %! assert (s, answer, 30*eps ("single"));
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260 */