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Add tests for ifftshift.m
author Robert T. Short <octave@phaselockedsystems.com.com>
date Sat, 26 Mar 2011 06:50:12 -0700
parents fd0a3ac60b0e
children 96c7143304d9
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fd0a3ac60b0e update copyright notices
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1 ## Copyright (C) 1994-2011 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 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} conv (@var{a}, @var{b})
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21 ## @deftypefnx {Function File} {} conv (@var{a}, @var{b}, @var{shape})
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22 ## Convolve two vectors.
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23 ##
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24 ## @code{c = conv (@var{a}, @var{b})} returns a vector of length equal to
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25 ## @code{length (@var{a}) + length (@var{b}) - 1}.
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26 ## If @var{a} and @var{b} are the coefficient vectors of two polynomials, the
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27 ## returned value is the coefficient vector of the product polynomial.
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28 ##
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29 ## The optional @var{shape} argument may be
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30 ##
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31 ## @table @asis
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32 ## @item @var{shape} = "full"
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33 ## Return the full convolution. (default)
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34 ##
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35 ## @item @var{shape} = "same"
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36 ## Return the central part of the convolution with the same size as @var{a}.
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37 ## @end table
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38 ##
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39 ## @seealso{deconv, fftconv, conv2, poly}
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40 ## @end deftypefn
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41
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42 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
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43 ## Created: June 1994
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44 ## Adapted-By: jwe
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45
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46 function y = conv (a, b, shape = "full")
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47
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48 if (nargin < 2 || nargin > 3)
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49 print_usage ();
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50 endif
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51
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52 if (! (isvector (a) && isvector (b)))
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53 error ("conv: both arguments must be vectors");
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54 endif
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55
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56 la = length (a);
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57 lb = length (b);
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58
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59 ly = la + lb - 1;
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60
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61 if (ly == 0)
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62 y = zeros (1, 0);
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63 else
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64 ## Use the shortest vector as the coefficent vector to filter.
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65 ## Preserve the row/column orientation of the longer input.
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66 if (la <= lb)
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67 if (ly > lb)
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68 if (size (b, 1) <= size (b, 2))
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69 x = [b, (zeros (1, ly - lb))];
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70 else
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71 x = [b; (zeros (ly - lb, 1))];
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72 endif
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73 else
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74 x = b;
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75 endif
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76 y = filter (a, 1, x);
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77 else
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78 if (ly > la)
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79 if (size (a, 1) <= size (a, 2))
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80 x = [a, (zeros (1, ly - la))];
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81 else
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82 x = [a; (zeros (ly - la, 1))];
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83 endif
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84 else
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85 x = a;
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86 endif
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87 y = filter (b, 1, x);
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88 endif
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89 if (strcmp (shape, "same"))
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90 idx = ceil ((ly - la) / 2);
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91 y = y(idx+1:idx+la);
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92 endif
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93 endif
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94
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95 endfunction
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96
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97 %!test
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98 %! x = ones(3,1);
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99 %! y = ones(1,3);
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100 %! b = 2;
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101 %! c = 3;
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102 %! assert (conv (x, x), [1; 2; 3; 2; 1]);
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103 %! assert (conv (y, y), [1, 2, 3, 2, 1]);
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104 %! assert (conv (x, y), [1, 2, 3, 2, 1]);
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105 %! assert (conv (y, x), [1; 2; 3; 2; 1]);
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106 %! assert (conv (c, x), [3; 3; 3]);
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107 %! assert (conv (c, y), [3, 3, 3]);
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108 %! assert (conv (x, c), [3; 3; 3]);
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109 %! assert (conv (y, c), [3, 3, 3]);
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110 %! assert (conv (b, c), 6);
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111
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112 %!test
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113 %! a = 1:10;
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114 %! b = 1:3;
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115 %! assert (size(conv(a,b)), [1, numel(a)+numel(b)-1])
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116 %! assert (size(conv(b,a)), [1, numel(a)+numel(b)-1])
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117
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118 %! a = (1:10).';
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119 %! b = 1:3;
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120 %! assert (size(conv(a,b)), [numel(a)+numel(b)-1, 1])
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121 %! assert (size(conv(b,a)), [numel(a)+numel(b)-1, 1])
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122
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123 %!test
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124 %! a = 1:10;
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125 %! b = (1:3).';
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126 %! assert (size(conv(a,b)), [1, numel(a)+numel(b)-1])
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127 %! assert (size(conv(b,a)), [1, numel(a)+numel(b)-1])
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128
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129 %!test
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130 %! a = 1:10;
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131 %! b = 1:3;
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132 %! assert (conv(a,b,"full"), conv(a,b))
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133 %! assert (conv(b,a,"full"), conv(b,a))
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134
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135 %!test
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136 %! a = 1:10;
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137 %! b = 1:3;
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138 %! assert (conv(a,b,'same'), [4, 10, 16, 22, 28, 34, 40, 46, 52, 47])
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139 %! assert (conv(b,a,'same'), [28, 34, 40])
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140
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141 %% Test input validation
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142 %!error conv (1);
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143 %!error conv (1,2,3,4);
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144 %!error conv ([1, 2; 3, 4], 3);
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145 %!error conv (2, []);
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146