annotate libinterp/corefcn/fft.cc @ 33617:ec2635a02328 bytecode-interpreter tip

maint: Merge default to bytecode-interpreter.
author Markus Mützel <markus.muetzel@gmx.de>
date Tue, 21 May 2024 18:29:03 +0200
parents 273cf7c2302a
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1996-2024 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_BEGIN_NAMESPACE(octave)
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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 if (dim < 0)
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83 {
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84 dim = dims.first_non_singleton ();
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85
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86 // And if the first argument is scalar?
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87 if (dim == ndims)
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88 dim = 1;
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89 }
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90
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91 if (n_points < 0)
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92 n_points = dims(dim);
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93 else
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94 dims(dim) = n_points;
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95
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96 if (n_points == 0 || dims.any_zero ())
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97 {
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98 if (arg.is_single_type ())
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99 return octave_value (FloatNDArray (dims));
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100 else
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101 return octave_value (NDArray (dims));
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102 }
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103
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104 if (n_points == 1)
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105 {
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106 octave_value_list idx (ndims);
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107 for (octave_idx_type i = 0; i < ndims; i++)
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108 idx(i) = idx_vector::colon;
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109 idx(dim) = idx_vector (0);
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110
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111 return arg.index_op (idx);
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112 }
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113
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114 if (arg.is_single_type ())
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115 {
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116 if (arg.isreal ())
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117 {
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118 FloatNDArray nda = arg.float_array_value ();
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119
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120 nda.resize (dims, 0.0);
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121 retval = (type != 0 ? nda.ifourier (dim) : nda.fourier (dim));
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122 }
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123 else
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124 {
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125 FloatComplexNDArray cnda = arg.float_complex_array_value ();
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126
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127 cnda.resize (dims, 0.0);
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128 retval = (type != 0 ? cnda.ifourier (dim) : cnda.fourier (dim));
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129 }
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130 }
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131 else
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132 {
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133 if (arg.isreal ())
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134 {
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135 NDArray nda = arg.array_value ();
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136
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137 nda.resize (dims, 0.0);
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138 retval = (type != 0 ? nda.ifourier (dim) : nda.fourier (dim));
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139 }
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140 else if (arg.iscomplex ())
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141 {
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142 ComplexNDArray cnda = arg.complex_array_value ();
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143
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144 cnda.resize (dims, 0.0);
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145 retval = (type != 0 ? cnda.ifourier (dim) : cnda.fourier (dim));
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146 }
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147 else
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148 err_wrong_type_arg (fcn, arg);
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149 }
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150
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151 return retval;
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152 }
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153
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154 /*
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155 %!testif HAVE_FFTW
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156 %! assert (fft ([]), [])
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157 %!testif HAVE_FFTW
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158 %! assert (fft (zeros (10,0)), zeros (10,0))
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159 %!testif HAVE_FFTW
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160 %! assert (fft (zeros (0,10)), zeros (0,10))
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161 %!testif HAVE_FFTW
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162 %! assert (fft (0), 0)
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163 %!testif HAVE_FFTW
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164 %! assert (fft (1), 1)
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165 %!testif HAVE_FFTW
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166 %! assert (fft (ones (2,2)), [2,2; 0,0])
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167 %!testif HAVE_FFTW
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168 %! assert (fft (eye (2,2)), [1,1; 1,-1])
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169
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170 %!testif HAVE_FFTW
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171 %! assert (fft (single ([])), single ([]))
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172 %!testif HAVE_FFTW
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173 %! assert (fft (zeros (10,0,"single")), zeros (10,0,"single"))
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174 %!testif HAVE_FFTW
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175 %! assert (fft (zeros (0,10,"single")), zeros (0,10,"single"))
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176 %!testif HAVE_FFTW
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177 %! assert (fft (single (0)), single (0))
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178 %!testif HAVE_FFTW
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179 %! assert (fft (single (1)), single (1))
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180 %!testif HAVE_FFTW
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181 %! assert (fft (ones (2,2,"single")), single ([2,2; 0,0]))
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182 %!testif HAVE_FFTW
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183 %! assert (fft (eye (2,2,"single")), single ([1,1; 1,-1]))
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184
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185 %!error fft ()
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186 */
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187
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188
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189 DEFUN (fft, args, ,
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190 doc: /* -*- texinfo -*-
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191 @deftypefn {} {@var{y} =} fft (@var{x})
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192 @deftypefnx {} {@var{y} =} fft (@var{x}, @var{n})
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193 @deftypefnx {} {@var{y} =} fft (@var{x}, @var{n}, @var{dim})
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194 Compute the discrete Fourier transform of @var{x} using
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195 a Fast Fourier Transform (FFT) algorithm.
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196
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197 The FFT is calculated along the first non-singleton dimension of the
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198 array. Thus if @var{x} is a matrix, @code{fft (@var{x})} computes the
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199 FFT for each column of @var{x}.
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200
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201 If called with two arguments, @var{n} is expected to be an integer
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202 specifying the number of elements of @var{x} to use, or an empty
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203 matrix to specify that its value should be ignored. If @var{n} is
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204 larger than the dimension along which the FFT is calculated, then
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205 @var{x} is resized and padded with zeros. Otherwise, if @var{n} is
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206 smaller than the dimension along which the FFT is calculated, then
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207 @var{x} is truncated.
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208
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209 If called with three arguments, @var{dim} is an integer specifying the
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210 dimension of the matrix along which the FFT is performed.
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211 @seealso{ifft, fft2, fftn, fftw}
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212 @end deftypefn */)
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213 {
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214 return do_fft (args, "fft", 0);
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215 }
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216
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217
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218 DEFUN (ifft, args, ,
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219 doc: /* -*- texinfo -*-
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220 @deftypefn {} {@var{x} =} ifft (@var{y})
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221 @deftypefnx {} {@var{x} =} ifft (@var{y}, @var{n})
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222 @deftypefnx {} {@var{x} =} ifft (@var{y}, @var{n}, @var{dim})
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223 Compute the inverse discrete Fourier transform of @var{y}
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224 using a Fast Fourier Transform (FFT) algorithm.
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225
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226 The inverse FFT is calculated along the first non-singleton dimension
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227 of the array. Thus if @var{y} is a matrix, @code{ifft (@var{y})} computes
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228 the inverse FFT for each column of @var{y}.
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229
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230 If called with two arguments, @var{n} is expected to be an integer
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231 specifying the number of elements of @var{y} to use, or an empty
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232 matrix to specify that its value should be ignored. If @var{n} is
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233 larger than the dimension along which the inverse FFT is calculated, then
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234 @var{y} is resized and padded with zeros. Otherwise, if @var{n} is
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235 smaller than the dimension along which the inverse FFT is calculated,
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236 then @var{y} is truncated.
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237
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238 If called with three arguments, @var{dim} is an integer specifying the
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239 dimension of the matrix along which the inverse FFT is performed.
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240 @seealso{fft, ifft2, ifftn, fftw}
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241 @end deftypefn */)
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242 {
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243 return do_fft (args, "ifft", 1);
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244 }
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245
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246 /*
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247 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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248 ## Comalco Research and Technology
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249 ## 02 May 2000
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250 %!testif HAVE_FFTW
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251 %! N = 64;
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252 %! n = 4;
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253 %! t = 2*pi*(0:1:N-1)/N;
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254 %! s = cos (n*t);
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255 %! S = fft (s);
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256 %!
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257 %! answer = zeros (size (t));
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258 %! answer(n+1) = N/2;
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259 %! answer(N-n+1) = N/2;
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260 %!
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261 %! assert (S, answer, 4*N*eps);
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262
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263 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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264 ## Comalco Research and Technology
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265 ## 02 May 2000
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266 %!testif HAVE_FFTW
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267 %! N = 64;
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268 %! n = 7;
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269 %! t = 2*pi*(0:1:N-1)/N;
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270 %! s = cos (n*t);
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271 %!
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272 %! S = zeros (size (t));
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273 %! S(n+1) = N/2;
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274 %! S(N-n+1) = N/2;
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275 %!
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276 %! assert (ifft (S), s, 4*N*eps);
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277
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278 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
655157b34a9f Fix segfault when calling fft on last dimension (bug #49026).
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279 ## Comalco Research and Technology
655157b34a9f Fix segfault when calling fft on last dimension (bug #49026).
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280 ## 02 May 2000
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281 %!testif HAVE_FFTW
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282 %! N = 64;
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283 %! n = 4;
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284 %! t = single (2*pi*(0:1:N-1)/N);
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285 %! s = cos (n*t);
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286 %! S = fft (s);
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287 %!
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288 %! answer = zeros (size (t), "single");
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289 %! answer(n+1) = N/2;
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290 %! answer(N-n+1) = N/2;
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291 %!
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292 %! assert (S, answer, 4*N* eps ("single"));
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293
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294 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
655157b34a9f Fix segfault when calling fft on last dimension (bug #49026).
Rik <rik@octave.org>
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295 ## Comalco Research and Technology
655157b34a9f Fix segfault when calling fft on last dimension (bug #49026).
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296 ## 02 May 2000
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297 %!testif HAVE_FFTW
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298 %! N = 64;
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299 %! n = 7;
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300 %! t = 2*pi*(0:1:N-1)/N;
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301 %! s = cos (n*t);
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302 %!
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303 %! S = zeros (size (t), "single");
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304 %! S(n+1) = N/2;
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305 %! S(N-n+1) = N/2;
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306 %!
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307 %! assert (ifft (S), s, 4*N* eps ("single"));
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308
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309 %!testif HAVE_FFTW <*64729>
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310 %! x = rand (5, 5, 5, 5);
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311 %! old_planner = fftw ('planner', 'measure');
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312 %! unwind_protect
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313 %! y = fft (x);
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314 %! y = fft (x); # second invocation might crash Octave
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315 %! assert (size (y), [5, 5, 5, 5]);
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316 %! unwind_protect_cleanup
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317 %! fftw ('planner', old_planner);
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318 %! end_unwind_protect
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319
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320 %!testif HAVE_FFTW <*64729>
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321 %! x = rand (5, 5, 5, 5, 'single');
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322 %! old_planner = fftw ('planner', 'measure');
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323 %! unwind_protect
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324 %! y = fft (x);
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325 %! y = fft (x); # second invocation might crash Octave
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326 %! assert (size (y), [5, 5, 5, 5]);
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327 %! unwind_protect_cleanup
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328 %! fftw ('planner', old_planner);
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329 %! end_unwind_protect
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330
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331 %!testif HAVE_FFTW <*64733>
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332 %! old_planner = fftw ('planner', 'measure');
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333 %! unwind_protect
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334 %! assert (ifft ([2, 4, 6, 8]), [5, -1-1i, -1, -1+1i]);
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335 %! unwind_protect_cleanup
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336 %! fftw ('planner', old_planner);
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337 %! end_unwind_protect
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338
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339 %!testif HAVE_FFTW <*64733>
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340 %! old_planner = fftw ('planner', 'measure');
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341 %! unwind_protect
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342 %! assert (ifft (single ([2, 4, 6, 8])), single ([5, -1-1i, -1, -1+1i]));
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343 %! unwind_protect_cleanup
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344 %! fftw ('planner', old_planner);
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345 %! end_unwind_protect
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346 */
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347
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348 OCTAVE_END_NAMESPACE(octave)