annotate libinterp/corefcn/fft.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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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 static octave_value
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40 do_fft (const octave_value_list& args, const char *fcn, int type)
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41 {
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42 int nargin = args.length ();
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43
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44 if (nargin < 1 || nargin > 3)
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45 print_usage ();
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46
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47 octave_value retval;
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48 octave_value arg = args(0);
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49 octave_idx_type n_points = -1;
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50 dim_vector dims = arg.dims ();
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51 int ndims = dims.ndims ();
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52 int dim = -1;
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53
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54 if (nargin > 1)
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55 {
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56 if (! args(1).isempty ())
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57 {
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58 double dval = args(1).double_value ();
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59 if (octave::math::isnan (dval))
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60 error ("%s: number of points (N) cannot be NaN", fcn);
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61
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62 n_points = octave::math::nint_big (dval);
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63 if (n_points < 0)
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64 error ("%s: number of points (N) must be greater than zero", fcn);
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65 }
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66 }
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68 if (nargin > 2)
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69 {
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70 double dval = args(2).double_value ();
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71 if (octave::math::isnan (dval))
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72 error ("%s: DIM cannot be NaN", fcn);
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73 else if (dval < 1 || dval > ndims)
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74 error ("%s: DIM must be a valid dimension along which to perform FFT",
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75 fcn);
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76 else
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77 // to be safe, cast it back to int since dim is an int
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78 dim = octave::math::nint (dval) - 1;
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79 }
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80
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81 // FIXME: This seems strange and unnecessary (10/21/16).
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82 // How would you ever arrive at an octave_value object without correct dims?
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83 // We certainly don't make this check every other place in Octave.
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84 for (octave_idx_type i = 0; i < ndims; i++)
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85 if (dims(i) < 0)
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86 return retval;
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87
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88 if (dim < 0)
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89 {
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90 dim = dims.first_non_singleton ();
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91
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92 // And if the first argument is scalar?
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93 if (dim == ndims)
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94 dim = 1;
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95 }
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96
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97 if (n_points < 0)
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98 n_points = dims(dim);
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99 else
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100 dims(dim) = n_points;
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101
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102 if (n_points == 0 || dims.any_zero ())
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103 {
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104 if (arg.is_single_type ())
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105 return octave_value (FloatNDArray (dims));
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106 else
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107 return octave_value (NDArray (dims));
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108 }
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109
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110 if (n_points == 1)
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111 {
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112 octave_value_list idx (ndims);
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113 for (octave_idx_type i = 0; i < ndims; i++)
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114 idx(i) = idx_vector::colon;
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115 idx(dim) = idx_vector (static_cast<octave_idx_type> (0));
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116
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117 return arg.do_index_op (idx);
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118 }
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119
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120 if (arg.is_single_type ())
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121 {
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122 if (arg.isreal ())
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123 {
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124 FloatNDArray nda = arg.float_array_value ();
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125
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126 nda.resize (dims, 0.0);
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127 retval = (type != 0 ? nda.ifourier (dim) : nda.fourier (dim));
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128 }
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129 else
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130 {
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131 FloatComplexNDArray cnda = arg.float_complex_array_value ();
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132
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133 cnda.resize (dims, 0.0);
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134 retval = (type != 0 ? cnda.ifourier (dim) : cnda.fourier (dim));
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135 }
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136 }
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137 else
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138 {
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139 if (arg.isreal ())
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140 {
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141 NDArray nda = arg.array_value ();
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142
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143 nda.resize (dims, 0.0);
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144 retval = (type != 0 ? nda.ifourier (dim) : nda.fourier (dim));
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145 }
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146 else if (arg.iscomplex ())
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147 {
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148 ComplexNDArray cnda = arg.complex_array_value ();
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149
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150 cnda.resize (dims, 0.0);
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151 retval = (type != 0 ? cnda.ifourier (dim) : cnda.fourier (dim));
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152 }
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153 else
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154 err_wrong_type_arg (fcn, arg);
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155 }
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156
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157 return retval;
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158 }
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159
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160 /*
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161 %!testif HAVE_FFTW
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162 %! assert (fft ([]), [])
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163 %!testif HAVE_FFTW
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164 %! assert (fft (zeros (10,0)), zeros (10,0))
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165 %!testif HAVE_FFTW
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166 %! assert (fft (zeros (0,10)), zeros (0,10))
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167 %!testif HAVE_FFTW
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168 %! assert (fft (0), 0)
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169 %!testif HAVE_FFTW
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170 %! assert (fft (1), 1)
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171 %!testif HAVE_FFTW
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172 %! assert (fft (ones (2,2)), [2,2; 0,0])
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173 %!testif HAVE_FFTW
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174 %! assert (fft (eye (2,2)), [1,1; 1,-1])
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175
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176 %!testif HAVE_FFTW
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177 %! assert (fft (single ([])), single ([]))
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178 %!testif HAVE_FFTW
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179 %! assert (fft (zeros (10,0,"single")), zeros (10,0,"single"))
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180 %!testif HAVE_FFTW
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181 %! assert (fft (zeros (0,10,"single")), zeros (0,10,"single"))
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182 %!testif HAVE_FFTW
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183 %! assert (fft (single (0)), single (0))
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184 %!testif HAVE_FFTW
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185 %! assert (fft (single (1)), single (1))
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186 %!testif HAVE_FFTW
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187 %! assert (fft (ones (2,2,"single")), single ([2,2; 0,0]))
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188 %!testif HAVE_FFTW
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189 %! assert (fft (eye (2,2,"single")), single ([1,1; 1,-1]))
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190
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191 %!error (fft ())
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192 */
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193
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194
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195 DEFUN (fft, args, ,
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196 doc: /* -*- texinfo -*-
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197 @deftypefn {} {} fft (@var{x})
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198 @deftypefnx {} {} fft (@var{x}, @var{n})
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199 @deftypefnx {} {} fft (@var{x}, @var{n}, @var{dim})
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200 Compute the discrete Fourier transform of @var{x} using
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201 a Fast Fourier Transform (FFT) algorithm.
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202
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203 The FFT is calculated along the first non-singleton dimension of the
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204 array. Thus if @var{x} is a matrix, @code{fft (@var{x})} computes the
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205 FFT for each column of @var{x}.
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206
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207 If called with two arguments, @var{n} is expected to be an integer
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208 specifying the number of elements of @var{x} to use, or an empty
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209 matrix to specify that its value should be ignored. If @var{n} is
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210 larger than the dimension along which the FFT is calculated, then
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211 @var{x} is resized and padded with zeros. Otherwise, if @var{n} is
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212 smaller than the dimension along which the FFT is calculated, then
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213 @var{x} is truncated.
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214
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215 If called with three arguments, @var{dim} is an integer specifying the
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216 dimension of the matrix along which the FFT is performed.
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217 @seealso{ifft, fft2, fftn, fftw}
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218 @end deftypefn */)
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219 {
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220 return do_fft (args, "fft", 0);
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221 }
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222
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223
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224 DEFUN (ifft, args, ,
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225 doc: /* -*- texinfo -*-
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226 @deftypefn {} {} ifft (@var{x})
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227 @deftypefnx {} {} ifft (@var{x}, @var{n})
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228 @deftypefnx {} {} ifft (@var{x}, @var{n}, @var{dim})
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229 Compute the inverse discrete Fourier transform of @var{x}
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230 using a Fast Fourier Transform (FFT) algorithm.
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231
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232 The inverse FFT is calculated along the first non-singleton dimension
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233 of the array. Thus if @var{x} is a matrix, @code{fft (@var{x})} computes
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234 the inverse FFT for each column of @var{x}.
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235
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236 If called with two arguments, @var{n} is expected to be an integer
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237 specifying the number of elements of @var{x} to use, or an empty
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238 matrix to specify that its value should be ignored. If @var{n} is
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239 larger than the dimension along which the inverse FFT is calculated, then
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240 @var{x} is resized and padded with zeros. Otherwise, if @var{n} is
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241 smaller than the dimension along which the inverse FFT is calculated,
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242 then @var{x} is truncated.
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243
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244 If called with three arguments, @var{dim} is an integer specifying the
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245 dimension of the matrix along which the inverse FFT is performed.
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246 @seealso{fft, ifft2, ifftn, fftw}
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247 @end deftypefn */)
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248 {
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249 return do_fft (args, "ifft", 1);
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250 }
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251
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252 /*
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253 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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254 ## Comalco Research and Technology
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255 ## 02 May 2000
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256 %!testif HAVE_FFTW
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257 %! N = 64;
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258 %! n = 4;
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259 %! t = 2*pi*(0:1:N-1)/N;
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260 %! s = cos (n*t);
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261 %! S = fft (s);
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262 %!
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263 %! answer = zeros (size (t));
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264 %! answer(n+1) = N/2;
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265 %! answer(N-n+1) = N/2;
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266 %!
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267 %! assert (S, answer, 4*N*eps);
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268
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269 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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270 ## Comalco Research and Technology
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271 ## 02 May 2000
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272 %!testif HAVE_FFTW
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273 %! N = 64;
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274 %! n = 7;
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275 %! t = 2*pi*(0:1:N-1)/N;
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276 %! s = cos (n*t);
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277 %!
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278 %! S = zeros (size (t));
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279 %! S(n+1) = N/2;
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280 %! S(N-n+1) = N/2;
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281 %!
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282 %! assert (ifft (S), s, 4*N*eps);
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283
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284 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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285 ## Comalco Research and Technology
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286 ## 02 May 2000
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287 %!testif HAVE_FFTW
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288 %! N = 64;
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289 %! n = 4;
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290 %! t = single (2*pi*(0:1:N-1)/N);
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291 %! s = cos (n*t);
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292 %! S = fft (s);
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293 %!
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294 %! answer = zeros (size (t), "single");
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295 %! answer(n+1) = N/2;
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296 %! answer(N-n+1) = N/2;
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297 %!
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298 %! assert (S, answer, 4*N*eps ("single"));
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299
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300 ## Author: David Billinghurst (David.Billinghurst@riotinto.com.au)
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301 ## Comalco Research and Technology
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302 ## 02 May 2000
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303 %!testif HAVE_FFTW
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304 %! N = 64;
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305 %! n = 7;
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306 %! t = 2*pi*(0:1:N-1)/N;
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307 %! s = cos (n*t);
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308 %!
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309 %! S = zeros (size (t), "single");
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310 %! S(n+1) = N/2;
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311 %! S(N-n+1) = N/2;
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312 %!
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313 %! assert (ifft (S), s, 4*N*eps ("single"));
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314 */