annotate libinterp/corefcn/fft2.cc @ 31234:a1318deb4584

sparse-xpow.cc: Improve consistency between sparse and full matrices (bug #63080) sparse-xpow.cc: Return 0x0 matrix for empty inputs of all sizes. Return early for all-zeros matrix with positive power. Add FIXME for all-zeros matrix with negative power. Add BISTs.
author Arun Giridhar <arungiridhar@gmail.com>
date Tue, 20 Sep 2022 09:00:02 -0400
parents 32d2b6604a9f
children e88a07dec498
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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 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include "lo-mappers.h"
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31
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32 #include "defun.h"
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33 #include "error.h"
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34 #include "errwarn.h"
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35 #include "ovl.h"
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36 #include "utils.h"
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37
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38 OCTAVE_NAMESPACE_BEGIN
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39
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40 // This function should be merged with Fifft.
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41
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42 static octave_value
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43 do_fft2 (const octave_value_list& args, const char *fcn, int type)
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44 {
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45 int nargin = args.length ();
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46
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47 if (nargin < 1 || nargin > 3)
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48 print_usage ();
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49
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50 octave_value retval;
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51 octave_value arg = args(0);
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52 dim_vector dims = arg.dims ();
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53 octave_idx_type n_rows = -1;
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54
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55 if (nargin > 1)
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56 {
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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);
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64 }
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65
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66 octave_idx_type n_cols = -1;
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67 if (nargin > 2)
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68 {
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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);
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76 }
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77
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78 for (int i = 0; i < dims.ndims (); i++)
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79 if (dims(i) < 0)
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80 return retval;
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81
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82 if (n_rows < 0)
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83 n_rows = dims(0);
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84 else
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85 dims(0) = n_rows;
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86
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87 if (n_cols < 0)
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88 n_cols = dims(1);
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89 else
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90 dims(1) = n_cols;
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91
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92 if (dims.all_zero () || n_rows == 0 || n_cols == 0)
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93 {
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94 if (arg.is_single_type ())
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95 return octave_value (FloatMatrix ());
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96 else
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97 return octave_value (Matrix ());
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98 }
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99
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100 if (arg.is_single_type ())
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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 ();
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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 ();
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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 }
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116 }
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117 else
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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);
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135 }
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136
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137 return retval;
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138 }
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139
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140 DEFUN (fft2, args, ,
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141 doc: /* -*- texinfo -*-
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142 @deftypefn {} {@var{B} =} fft2 (@var{A})
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143 @deftypefnx {} {@var{B} =} 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 */)
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155 {
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156 return do_fft2 (args, "fft2", 0);
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157 }
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158
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159
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160 DEFUN (ifft2, args, ,
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161 doc: /* -*- texinfo -*-
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162 @deftypefn {} {@var{A} =} ifft2 (@var{B})
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163 @deftypefnx {} {@var{A} =} ifft2 (@var{B}, @var{m}, @var{n})
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164 Compute the inverse two-dimensional discrete Fourier transform of @var{B}
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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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169 size of @var{B}, @var{B} is resized and padded with zeros.
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170
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171 If @var{B} is a multi-dimensional matrix, each two-dimensional sub-matrix
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172 of @var{B} is treated separately.
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173 @seealso{fft2, ifft, ifftn, fftw}
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174 @end deftypefn */)
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175 {
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176 return do_fft2 (args, "ifft2", 1);
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177 }
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178
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179 /*
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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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183 %!testif HAVE_FFTW
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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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202 %!testif HAVE_FFTW
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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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224 %!testif HAVE_FFTW
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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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243 %!testif HAVE_FFTW
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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