Mercurial > octave
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> |
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date | Tue, 20 Sep 2022 09:00:02 -0400 |
parents | 32d2b6604a9f |
children | e88a07dec498 |
rev | line source |
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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 //////////////////////////////////////////////////////////////////////// |
2928 | 25 |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
2928 | 28 #endif |
29 | |
30 #include "lo-mappers.h" | |
31 | |
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32 #include "defun.h" |
2928 | 33 #include "error.h" |
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34 #include "errwarn.h" |
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35 #include "ovl.h" |
2928 | 36 #include "utils.h" |
37 | |
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38 OCTAVE_NAMESPACE_BEGIN |
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39 |
4773 | 40 // This function should be merged with Fifft. |
2928 | 41 |
4773 | 42 static octave_value |
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43 do_fft2 (const octave_value_list& args, const char *fcn, int type) |
2928 | 44 { |
45 int nargin = args.length (); | |
46 | |
47 if (nargin < 1 || nargin > 3) | |
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48 print_usage (); |
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50 octave_value retval; |
2928 | 51 octave_value arg = args(0); |
4773 | 52 dim_vector dims = arg.dims (); |
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54 |
2928 | 55 if (nargin > 1) |
56 { | |
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); |
2928 | 64 } |
65 | |
5275 | 66 octave_idx_type n_cols = -1; |
2928 | 67 if (nargin > 2) |
68 { | |
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); |
2928 | 76 } |
77 | |
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78 for (int i = 0; i < dims.ndims (); i++) |
4773 | 79 if (dims(i) < 0) |
2928 | 80 return retval; |
81 | |
4773 | 82 if (n_rows < 0) |
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83 n_rows = dims(0); |
4773 | 84 else |
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85 dims(0) = n_rows; |
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4773 | 87 if (n_cols < 0) |
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88 n_cols = dims(1); |
4773 | 89 else |
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90 dims(1) = n_cols; |
4773 | 91 |
92 if (dims.all_zero () || n_rows == 0 || n_cols == 0) | |
7924 | 93 { |
94 if (arg.is_single_type ()) | |
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95 return octave_value (FloatMatrix ()); |
7924 | 96 else |
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97 return octave_value (Matrix ()); |
7924 | 98 } |
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100 if (arg.is_single_type ()) |
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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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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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113 cnda.resize (dims, 0.0); |
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114 retval = (type != 0 ? cnda.ifourier2d () : cnda.fourier2d ()); |
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115 } |
2928 | 116 } |
117 else | |
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); |
2928 | 135 } |
136 | |
137 return retval; | |
138 } | |
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 */) |
4773 | 155 { |
4782 | 156 return do_fft2 (args, "fft2", 0); |
4773 | 157 } |
158 | |
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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168 rows and columns of @var{B} to use. If either of these is larger than the |
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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 */) |
4773 | 175 { |
4782 | 176 return do_fft2 (args, "ifft2", 1); |
4773 | 177 } |
178 | |
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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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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 |
25586 | 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 |
25586 | 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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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 |