annotate libinterp/corefcn/fft.cc @ 31210:9ad55d2e1bbf stable

Make sure we don't pass short 8.3 path to latex on Windows (bug #62779). * latex-text-renderer.cc (latex_renderer::write_tex_file): On Windows, use canonicalized path of temporary directory.
author Pantxo Diribarne <pantxo.diribarne@gmail.com>
date Sun, 28 Aug 2022 22:44:49 +0200
parents 796f54d4ddbf
children 32d2b6604a9f
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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 static octave_value
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41 do_fft (const octave_value_list& args, const char *fcn, int type)
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42 {
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43 int nargin = args.length ();
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44
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45 if (nargin < 1 || nargin > 3)
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46 print_usage ();
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47
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48 octave_value retval;
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49 octave_value arg = args(0);
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50 octave_idx_type n_points = -1;
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51 dim_vector dims = arg.dims ();
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52 int ndims = dims.ndims ();
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53 int dim = -1;
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54
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55 if (nargin > 1)
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56 {
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57 if (! args(1).isempty ())
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58 {
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59 double dval = args(1).double_value ();
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60 if (math::isnan (dval))
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61 error ("%s: number of points (N) cannot be NaN", fcn);
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62
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63 n_points = math::nint_big (dval);
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64 if (n_points < 0)
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65 error ("%s: number of points (N) must be greater than zero", fcn);
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66 }
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67 }
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68
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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 (math::isnan (dval))
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73 error ("%s: DIM cannot be NaN", fcn);
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74 else if (dval < 1 || dval > ndims)
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75 error ("%s: DIM must be a valid dimension along which to perform FFT",
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76 fcn);
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77 else
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78 // to be safe, cast it back to int since dim is an int
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79 dim = math::nint (dval) - 1;
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80 }
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81
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82 // FIXME: This seems strange and unnecessary (10/21/16).
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83 // How would you ever arrive at an octave_value object without correct dims?
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84 // We certainly don't make this check every other place in Octave.
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85 for (octave_idx_type i = 0; i < ndims; i++)
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86 if (dims(i) < 0)
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87 return retval;
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88
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89 if (dim < 0)
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90 {
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91 dim = dims.first_non_singleton ();
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92
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93 // And if the first argument is scalar?
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94 if (dim == ndims)
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95 dim = 1;
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96 }
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97
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98 if (n_points < 0)
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99 n_points = dims(dim);
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100 else
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101 dims(dim) = n_points;
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102
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103 if (n_points == 0 || dims.any_zero ())
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104 {
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105 if (arg.is_single_type ())
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106 return octave_value (FloatNDArray (dims));
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107 else
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108 return octave_value (NDArray (dims));
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109 }
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110
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111 if (n_points == 1)
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112 {
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113 octave_value_list idx (ndims);
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114 for (octave_idx_type i = 0; i < ndims; i++)
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115 idx(i) = idx_vector::colon;
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116 idx(dim) = idx_vector (0);
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117
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118 return arg.index_op (idx);
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119 }
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120
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121 if (arg.is_single_type ())
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122 {
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123 if (arg.isreal ())
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124 {
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125 FloatNDArray nda = arg.float_array_value ();
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126
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127 nda.resize (dims, 0.0);
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128 retval = (type != 0 ? nda.ifourier (dim) : nda.fourier (dim));
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129 }
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130 else
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131 {
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132 FloatComplexNDArray cnda = arg.float_complex_array_value ();
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133
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134 cnda.resize (dims, 0.0);
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135 retval = (type != 0 ? cnda.ifourier (dim) : cnda.fourier (dim));
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136 }
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137 }
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138 else
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139 {
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140 if (arg.isreal ())
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141 {
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142 NDArray nda = arg.array_value ();
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143
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144 nda.resize (dims, 0.0);
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145 retval = (type != 0 ? nda.ifourier (dim) : nda.fourier (dim));
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146 }
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147 else if (arg.iscomplex ())
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148 {
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149 ComplexNDArray cnda = arg.complex_array_value ();
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150
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151 cnda.resize (dims, 0.0);
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152 retval = (type != 0 ? cnda.ifourier (dim) : cnda.fourier (dim));
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153 }
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154 else
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155 err_wrong_type_arg (fcn, arg);
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156 }
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157
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158 return retval;
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159 }
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160
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161 /*
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162 %!testif HAVE_FFTW
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163 %! assert (fft ([]), [])
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164 %!testif HAVE_FFTW
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165 %! assert (fft (zeros (10,0)), zeros (10,0))
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166 %!testif HAVE_FFTW
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167 %! assert (fft (zeros (0,10)), zeros (0,10))
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168 %!testif HAVE_FFTW
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169 %! assert (fft (0), 0)
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170 %!testif HAVE_FFTW
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171 %! assert (fft (1), 1)
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172 %!testif HAVE_FFTW
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173 %! assert (fft (ones (2,2)), [2,2; 0,0])
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174 %!testif HAVE_FFTW
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175 %! assert (fft (eye (2,2)), [1,1; 1,-1])
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176
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177 %!testif HAVE_FFTW
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178 %! assert (fft (single ([])), single ([]))
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179 %!testif HAVE_FFTW
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180 %! assert (fft (zeros (10,0,"single")), zeros (10,0,"single"))
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181 %!testif HAVE_FFTW
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182 %! assert (fft (zeros (0,10,"single")), zeros (0,10,"single"))
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183 %!testif HAVE_FFTW
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184 %! assert (fft (single (0)), single (0))
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185 %!testif HAVE_FFTW
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186 %! assert (fft (single (1)), single (1))
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187 %!testif HAVE_FFTW
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188 %! assert (fft (ones (2,2,"single")), single ([2,2; 0,0]))
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189 %!testif HAVE_FFTW
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190 %! assert (fft (eye (2,2,"single")), single ([1,1; 1,-1]))
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191
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192 %!error fft ()
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193 */
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194
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195
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196 DEFUN (fft, args, ,
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197 doc: /* -*- texinfo -*-
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198 @deftypefn {} {} fft (@var{x})
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199 @deftypefnx {} {} fft (@var{x}, @var{n})
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200 @deftypefnx {} {} fft (@var{x}, @var{n}, @var{dim})
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201 Compute the discrete Fourier transform of @var{x} using
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202 a Fast Fourier Transform (FFT) algorithm.
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203
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204 The FFT is calculated along the first non-singleton dimension of the
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205 array. Thus if @var{x} is a matrix, @code{fft (@var{x})} computes the
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206 FFT for each column of @var{x}.
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207
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208 If called with two arguments, @var{n} is expected to be an integer
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209 specifying the number of elements of @var{x} to use, or an empty
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210 matrix to specify that its value should be ignored. If @var{n} is
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211 larger than the dimension along which the FFT is calculated, then
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212 @var{x} is resized and padded with zeros. Otherwise, if @var{n} is
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213 smaller than the dimension along which the FFT is calculated, then
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214 @var{x} is truncated.
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215
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216 If called with three arguments, @var{dim} is an integer specifying the
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217 dimension of the matrix along which the FFT is performed.
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218 @seealso{ifft, fft2, fftn, fftw}
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219 @end deftypefn */)
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220 {
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221 return do_fft (args, "fft", 0);
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222 }
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223
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224
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225 DEFUN (ifft, args, ,
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226 doc: /* -*- texinfo -*-
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227 @deftypefn {} {} ifft (@var{x})
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228 @deftypefnx {} {} ifft (@var{x}, @var{n})
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229 @deftypefnx {} {} ifft (@var{x}, @var{n}, @var{dim})
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230 Compute the inverse discrete Fourier transform of @var{x}
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231 using a Fast Fourier Transform (FFT) algorithm.
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232
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233 The inverse FFT is calculated along the first non-singleton dimension
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234 of the array. Thus if @var{x} is a matrix, @code{fft (@var{x})} computes
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235 the inverse FFT for each column of @var{x}.
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236
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237 If called with two arguments, @var{n} is expected to be an integer
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238 specifying the number of elements of @var{x} to use, or an empty
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239 matrix to specify that its value should be ignored. If @var{n} is
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240 larger than the dimension along which the inverse FFT is calculated, then
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241 @var{x} is resized and padded with zeros. Otherwise, if @var{n} is
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242 smaller than the dimension along which the inverse FFT is calculated,
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243 then @var{x} is truncated.
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244
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245 If called with three arguments, @var{dim} is an integer specifying the
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246 dimension of the matrix along which the inverse FFT is performed.
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247 @seealso{fft, ifft2, ifftn, fftw}
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248 @end deftypefn */)
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249 {
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250 return do_fft (args, "ifft", 1);
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251 }
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252
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253 /*
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254 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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255 ## Comalco Research and Technology
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256 ## 02 May 2000
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257 %!testif HAVE_FFTW
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258 %! N = 64;
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259 %! n = 4;
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260 %! t = 2*pi*(0:1:N-1)/N;
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261 %! s = cos (n*t);
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262 %! S = fft (s);
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263 %!
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264 %! answer = zeros (size (t));
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265 %! answer(n+1) = N/2;
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266 %! answer(N-n+1) = N/2;
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267 %!
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268 %! assert (S, answer, 4*N*eps);
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269
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270 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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271 ## Comalco Research and Technology
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272 ## 02 May 2000
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273 %!testif HAVE_FFTW
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274 %! N = 64;
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275 %! n = 7;
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276 %! t = 2*pi*(0:1:N-1)/N;
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277 %! s = cos (n*t);
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278 %!
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279 %! S = zeros (size (t));
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280 %! S(n+1) = N/2;
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281 %! S(N-n+1) = N/2;
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282 %!
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283 %! assert (ifft (S), s, 4*N*eps);
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284
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285 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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286 ## Comalco Research and Technology
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287 ## 02 May 2000
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288 %!testif HAVE_FFTW
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289 %! N = 64;
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290 %! n = 4;
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291 %! t = single (2*pi*(0:1:N-1)/N);
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292 %! s = cos (n*t);
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293 %! S = fft (s);
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294 %!
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295 %! answer = zeros (size (t), "single");
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296 %! answer(n+1) = N/2;
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297 %! answer(N-n+1) = N/2;
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298 %!
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299 %! assert (S, answer, 4*N*eps ("single"));
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300
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301 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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302 ## Comalco Research and Technology
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303 ## 02 May 2000
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304 %!testif HAVE_FFTW
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305 %! N = 64;
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306 %! n = 7;
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307 %! t = 2*pi*(0:1:N-1)/N;
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308 %! s = cos (n*t);
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309 %!
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310 %! S = zeros (size (t), "single");
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311 %! S(n+1) = N/2;
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312 %! S(N-n+1) = N/2;
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313 %!
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314 %! assert (ifft (S), s, 4*N*eps ("single"));
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315 */
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316
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317 OCTAVE_NAMESPACE_END