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annotate scripts/polynomial/conv.m @ 31191:bb9d776eafac stable

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Fix wrong color in PDF printout of some latex strings (bug #62884) * octave-svgconvert (draw): For "rect" elements only set brush color if necessary and eventually restore to previous color.
author Pantxo Diribarne <pantxo.diribarne@gmail.com>
date Sun, 14 Aug 2022 18:24:07 +0200
parents 796f54d4ddbf
children 5d3faba0342e
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 1994-2022 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 ########################################################################
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {} conv (@var{a}, @var{b})
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28 ## @deftypefnx {} {} conv (@var{a}, @var{b}, @var{shape})
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29 ## Convolve two vectors @var{a} and @var{b}.
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30 ##
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31 ## When @var{a} and @var{b} are the coefficient vectors of two polynomials, the
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32 ## convolution represents the coefficient vector of the product polynomial.
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33 ##
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34 ## The size of the result is determined by the optional @var{shape} argument
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35 ## which takes the following values
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36 ##
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37 ## @table @asis
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38 ## @item @var{shape} = @qcode{"full"}
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39 ## Return the full convolution. (default)
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40 ## The result is a vector with length equal to
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41 ## @code{length (@var{a}) + length (@var{b}) - 1}.
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42 ##
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43 ## @item @var{shape} = @qcode{"same"}
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44 ## Return the central part of the convolution with the same size as @var{a}.
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45 ##
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46 ## @item @var{shape} = @qcode{"valid"}
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47 ## Return only the parts which do not include zero-padded edges.
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48 ## The size of the result is
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49 ## @code{max (size (@var{a}) - size (@var{b}) + 1, 0)}.
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50 ## @end table
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51 ##
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52 ## @seealso{deconv, conv2, convn, fftconv}
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53 ## @end deftypefn
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54
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55 function y = conv (a, b, shape = "full")
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56
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57 if (nargin < 2)
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58 print_usage ();
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59 endif
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60
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61 if (! (isvector (a) && isvector (b)))
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62 error ("conv: both arguments A and B must be vectors");
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63 elseif (nargin == 3 && ! any (strcmpi (shape, {"full", "same", "valid"})))
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64 error ('conv: SHAPE argument must be "full", "same", or "valid"');
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65 endif
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66
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67 y = conv2 (a(:), b(:), shape);
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68
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69 if (strcmpi (shape, "full"))
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70 ## Adapt the shape to the longest input argument, if necessary.
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71 if ((length (a) > length (b) && isrow (a)) ...
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72 || (length (a) <= length (b) && isrow (b)))
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73 y = y.';
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74 endif
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75 elseif (isrow (a))
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76 ## Adapt the shape to the first input argument, if necessary.
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77 y = y.';
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78 endif
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79
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80 endfunction
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81
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82
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83 %!test
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84 %! x = ones (3,1);
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85 %! y = ones (1,3);
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86 %! b = 2;
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87 %! c = 3;
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88 %! assert (conv (x, x), [1; 2; 3; 2; 1]);
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89 %! assert (conv (y, y), [1, 2, 3, 2, 1]);
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90 %! assert (conv (x, y), [1, 2, 3, 2, 1]);
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91 %! assert (conv (y, x), [1; 2; 3; 2; 1]);
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92 %! assert (conv (c, x), [3; 3; 3]);
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93 %! assert (conv (c, y), [3, 3, 3]);
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94 %! assert (conv (x, c), [3; 3; 3]);
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95 %! assert (conv (y, c), [3, 3, 3]);
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96 %! assert (conv (b, c), 6);
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97
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98 %!shared a,b
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99 %!test
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100 %! a = 1:10;
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101 %! b = 1:3;
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102 %!assert (size (conv (a,b)), [1, numel(a)+numel(b)-1])
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103 %!assert (size (conv (b,a)), [1, numel(a)+numel(b)-1])
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104
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105 %!test
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106 %! a = (1:10).';
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107 %!assert (size (conv (a,b)), [numel(a)+numel(b)-1, 1])
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108 %!assert (size (conv (b,a)), [numel(a)+numel(b)-1, 1])
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109
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110 %!test
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111 %! a = 1:10;
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112 %! b = (1:3).';
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113 %!assert (size (conv (a,b)), [1, numel(a)+numel(b)-1])
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114 %!assert (size (conv (b,a)), [1, numel(a)+numel(b)-1])
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115
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116 %!test
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117 %! a = 1:10;
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118 %! b = 1:3;
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119
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120 %!assert (conv (a,b,"full"), conv (a,b))
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121 %!assert (conv (b,a,"full"), conv (b,a))
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122
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123 %!assert (conv (a,b,"same"), [4, 10, 16, 22, 28, 34, 40, 46, 52, 47])
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124 %!assert (conv (b,a,"same"), [28, 34, 40])
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125
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126 %!assert (conv (a,b,"valid"), [10, 16, 22, 28, 34, 40, 46, 52])
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127 %!assert (conv (b,a,"valid"), zeros (1,0))
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128
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129
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130 ## Test input validation
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131 %!error <Invalid call> conv (1)
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132 %!error <A and B must be vectors> conv ([1, 2; 3, 4], 3)
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133 %!error <A and B must be vectors> conv (3, [1, 2; 3, 4])
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134 %!error <SHAPE argument must be> conv (2, 3, "INVALID_SHAPE")