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conv.m: docstring fix
author John W. Eaton <jwe@octave.org>
date Thu, 07 Oct 2010 03:18:44 -0400
parents 4558aad4c41d
children 2beacd515e09
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1 ## Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2002, 2004,
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2 ## 2005, 2006, 2007, 2008, 2009 John W. Eaton
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3 ##
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4 ## This file is part of Octave.
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5 ##
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6 ## Octave is free software; you can redistribute it and/or modify it
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7 ## under the terms of the GNU General Public License as published by
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8 ## the Free Software Foundation; either version 3 of the License, or (at
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9 ## your option) any later version.
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10 ##
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11 ## Octave is distributed in the hope that it will be useful, but
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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14 ## General Public License for more details.
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15 ##
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16 ## You should have received a copy of the GNU General Public License
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17 ## along with Octave; see the file COPYING. If not, see
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18 ## <http://www.gnu.org/licenses/>.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {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{y = conv (a, b)} returns a vector of length equal to
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25 ## @code{length (a) + length (b) - 1}.
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26 ## If @var{a} and @var{b} are polynomial coefficient vectors, @code{conv}
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27 ## returns the coefficients of the product polynomial.
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28 ##
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29 ## The optional @var{shape} parameter 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.
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34 ##
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35 ## @item @var{shape} = "same"
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36 ## Return 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 ## @noindent
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40 ## By default, @var{shape} is @samp{"full"}.
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41 ##
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42 ## @seealso{deconv, poly, roots, residue, polyval, polyderiv, polyint}
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43 ## @end deftypefn
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44
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45 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
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46 ## Created: June 1994
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47 ## Adapted-By: jwe
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48
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49 function y = conv (a, b, shape = "full")
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50
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51 if (nargin < 2 || nargin > 3)
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52 print_usage ();
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53 endif
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54
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55 if (! (isvector (a) && isvector (b)))
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56 error ("conv: both arguments must be vectors");
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57 endif
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58
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59 la = length (a);
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60 lb = length (b);
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61
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62 ly = la + lb - 1;
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63
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64 if (ly == 0)
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65 y = zeros (1, 0);
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66 else
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67 ## Use the shortest vector as the coefficent vector to filter.
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68 ## Preserve the row/column orientation of the longer input.
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69 if (la <= lb)
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70 if (ly > lb)
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71 if (size (b, 1) <= size (b, 2))
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72 x = [b, (zeros (1, ly - lb))];
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73 else
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74 x = [b; (zeros (ly - lb, 1))];
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75 endif
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76 else
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77 x = b;
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78 endif
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79 y = filter (a, 1, x);
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80 else
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81 if (ly > la)
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82 if (size (a, 1) <= size (a, 2))
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83 x = [a, (zeros (1, ly - la))];
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84 else
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85 x = [a; (zeros (ly - la, 1))];
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86 endif
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87 else
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88 x = a;
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89 endif
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90 y = filter (b, 1, x);
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91 endif
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92 if (strcmp (shape, "same"))
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93 idx = ceil ((ly - la) / 2);
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94 y = y(idx+1:idx+la);
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95 endif
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96 endif
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97
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98 endfunction
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99
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100 %!test
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101 %! x = ones(3,1);
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102 %! y = ones(1,3);
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103 %! b = 2;
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104 %! c = 3;
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105 %! assert (conv (x, x), [1; 2; 3; 2; 1]);
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106 %! assert (conv (y, y), [1, 2, 3, 2, 1]);
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107 %! assert (conv (x, y), [1, 2, 3, 2, 1]);
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108 %! assert (conv (y, x), [1; 2; 3; 2; 1]);
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109 %! assert (conv (c, x), [3; 3; 3]);
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110 %! assert (conv (c, y), [3, 3, 3]);
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111 %! assert (conv (x, c), [3; 3; 3]);
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112 %! assert (conv (y, c), [3, 3, 3]);
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113 %! assert (conv (b, c), 6);
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114 %!error conv ([1, 2; 3, 4], 3);
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115 %!error conv (2, []);
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116
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117 %!test
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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)), [1, numel(a)+numel(b)-1])
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121 %! assert (size(conv(b,a)), [1, numel(a)+numel(b)-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 %! a = (1:10).';
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130 %! b = 1:3;
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131 %! assert (size(conv(a,b)), [numel(a)+numel(b)-1, 1])
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132 %! assert (size(conv(b,a)), [numel(a)+numel(b)-1, 1])
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133
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134 %!test
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135 %! a = 1:10;
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John W. Eaton <jwe@octave.org>
parents: 10224
diff changeset
136 %! b = 1:3;
4558aad4c41d conv.m: handle "same" shape argument
John W. Eaton <jwe@octave.org>
parents: 10224
diff changeset
137 %! assert (conv(a,b,'same'), [4, 10, 16, 22, 28, 34, 40, 46, 52, 47])
4558aad4c41d conv.m: handle "same" shape argument
John W. Eaton <jwe@octave.org>
parents: 10224
diff changeset
138 %! assert (conv(b,a,'same'), [28, 34, 40])
4558aad4c41d conv.m: handle "same" shape argument
John W. Eaton <jwe@octave.org>
parents: 10224
diff changeset
139
4558aad4c41d conv.m: handle "same" shape argument
John W. Eaton <jwe@octave.org>
parents: 10224
diff changeset
140 %!test
4558aad4c41d conv.m: handle "same" shape argument
John W. Eaton <jwe@octave.org>
parents: 10224
diff changeset
141 %! a = 1:10;
9433
38a0f9dc0ab4 conv.m: fix Matlab incompatibility; new tests
Robert T. Short <octave@phaselockedsystems.com>
parents: 8920
diff changeset
142 %! b = (1:3).';
38a0f9dc0ab4 conv.m: fix Matlab incompatibility; new tests
Robert T. Short <octave@phaselockedsystems.com>
parents: 8920
diff changeset
143 %! assert (size(conv(a,b)), [1, numel(a)+numel(b)-1])
38a0f9dc0ab4 conv.m: fix Matlab incompatibility; new tests
Robert T. Short <octave@phaselockedsystems.com>
parents: 8920
diff changeset
144 %! assert (size(conv(b,a)), [1, numel(a)+numel(b)-1])