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1 ## Copyright (C) 2006, 2007 John W. Eaton |
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2 ## |
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3 ## This file is part of Octave. |
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4 ## |
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5 ## Octave is free software; you can redistribute it and/or modify it |
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6 ## under the terms of the GNU General Public License as published by |
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7 ## the Free Software Foundation; either version 3 of the License, or (at |
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8 ## your option) any later version. |
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9 ## |
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10 ## Octave is distributed in the hope that it will be useful, but |
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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13 ## General Public License for more details. |
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14 ## |
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15 ## You should have received a copy of the GNU General Public License |
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16 ## along with Octave; see the file COPYING. If not, see |
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17 ## <http://www.gnu.org/licenses/>. |
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18 |
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19 %% Automatically generated from DejaGNU files |
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20 |
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21 %% test/octave.test/signal/fft-1.m |
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22 %% fft-1.m |
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23 %% |
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24 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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25 %% Comalco Research and Technology |
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26 %% 02 May 2000 |
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27 %!test |
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28 %! N=64; |
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29 %! n=4; |
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30 %! t = 2*pi*(0:1:N-1)/N; |
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31 %! s = cos(n*t); |
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32 %! S = fft(s); |
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33 %! |
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34 %! answer = 0*t; |
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35 %! answer(n+1) = N/2; |
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36 %! answer(N-n+1) = N/2; |
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37 %! |
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38 %! assert(all( abs(S-answer) < 4*N*eps )); |
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39 |
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40 %% test/octave.test/signal/ifft-1.m |
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41 %% ifft-1.m |
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42 %% |
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43 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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44 %% Comalco Research and Technology |
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45 %% 02 May 2000 |
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46 %!test |
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47 %! N=64; |
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48 %! n=7; |
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49 %! t = 2*pi*(0:1:N-1)/N; |
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50 %! s = cos(n*t); |
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51 %! |
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52 %! S = 0*t; |
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53 %! S(n+1) = N/2; |
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54 %! S(N-n+1) = N/2; |
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55 %! |
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56 %! assert(all( abs(ifft(S)-s) < 4*N*eps )); |
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57 |
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58 %% test/octave.test/signal/fft2-1.m |
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59 %% fft2-1.m |
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60 %% |
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61 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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62 %% Comalco Research and Technology |
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63 %% 02 May 2000 |
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64 %!test |
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65 %! M=16; |
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66 %! N=8; |
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67 %! |
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68 %! m=5; |
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69 %! n=3; |
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70 %! |
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71 %! x = 2*pi*(0:1:M-1)/M; |
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72 %! y = 2*pi*(0:1:N-1)/N; |
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73 %! sx = cos(m*x); |
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74 %! sy = sin(n*y); |
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75 %! s=kron(sx',sy); |
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76 %! S = fft2(s); |
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77 %! answer = kron(fft(sx)',fft(sy)); |
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78 %! assert(all( all( abs(S-answer) < 4*M*N*eps ) )); |
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79 |
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80 %% test/octave.test/signal/ifft2-1.m |
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81 %% ifft2-1.m |
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82 %% |
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83 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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84 %% Comalco Research and Technology |
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85 %% 02 May 2000 |
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86 %!test |
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87 %! M=12; |
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88 %! N=7; |
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89 %! |
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90 %! m=3; |
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91 %! n=2; |
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92 %! |
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93 %! x = 2*pi*(0:1:M-1)/M; |
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94 %! y = 2*pi*(0:1:N-1)/N; |
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95 %! |
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96 %! sx = cos(m*x); |
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97 %! sy = cos(n*y); |
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98 %! |
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99 %! S = kron(fft(sx)',fft(sy)); |
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100 %! answer=kron(sx',sy); |
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101 %! s = ifft2(S); |
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102 %! |
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103 %! assert(all( all( abs(s-answer) < 30*eps ) )); |
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104 |
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105 %% test/octave.test/signal/unwrap-1.m |
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106 %!function t = xassert(a,b,tol) |
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107 %! if (nargin == 1) |
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108 %! t = all(a(:)); |
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109 %! else |
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110 %! if (nargin == 2) |
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111 %! tol = 0; |
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112 %! endif |
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113 %! if (any (size(a) != size(b))) |
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114 %! t = 0; |
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115 %! elseif (any (abs(a(:) - b(:)) > tol)) |
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116 %! t = 0; |
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117 %! else |
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118 %! t = 1; |
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119 %! endif |
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120 %! endif |
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121 %! |
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122 %!test |
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123 %! |
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124 %! i = 0; |
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125 %! t = []; |
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126 %! |
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127 %! r = [0:100]; # original vector |
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128 %! w = r - 2*pi*floor((r+pi)/(2*pi)); # wrapped into [-pi,pi] |
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129 %! tol = 1e3*eps; # maximum expected deviation |
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130 %! |
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131 %! t(++i) = xassert(r, unwrap(w), tol); #unwrap single row |
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132 %! t(++i) = xassert(r', unwrap(w'), tol); #unwrap single column |
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133 %! t(++i) = xassert([r',r'], unwrap([w',w']), tol); #unwrap 2 columns |
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134 %! t(++i) = xassert([r;r], unwrap([w;w],[],2), tol); #verify that dim works |
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135 %! t(++i) = xassert(r+10, unwrap(10+w), tol); #verify that r(1)>pi works |
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136 %! |
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137 %! t(++i) = xassert(w', unwrap(w',[],2)); #unwrap col by rows should not change it |
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138 %! t(++i) = xassert(w, unwrap(w,[],1)); #unwrap row by cols should not change it |
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139 %! t(++i) = xassert([w;w], unwrap([w;w])); #unwrap 2 rows by cols should not change them |
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140 %! |
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141 %! ## verify that setting tolerance too low will cause bad results. |
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142 %! t(++i) = xassert(any(abs(r - unwrap(w,0.8)) > 100)); |
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143 %! |
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144 %! assert(all(t)); |
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145 |
