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annotate scripts/polynomial/deconv.m @ 8855:a909d8c01adf

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remove duplicate conversions in OPERATORS
author Jaroslav Hajek <highegg@gmail.com>
date Tue, 24 Feb 2009 11:12:38 +0100
parents ccf38fc1057f
children eb63fbe60fab
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1 ## Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2002, 2004,
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2 ## 2005, 2006, 2007 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} {} deconv (@var{y}, @var{a})
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22 ## Deconvolve two vectors.
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23 ##
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24 ## @code{[b, r] = deconv (y, a)} solves for @var{b} and @var{r} such that
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25 ## @code{y = conv (a, b) + r}.
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26 ##
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27 ## If @var{y} and @var{a} are polynomial coefficient vectors, @var{b} will
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28 ## contain the coefficients of the polynomial quotient and @var{r} will be
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29 ## a remainder polynomial of lowest order.
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30 ## @seealso{conv, poly, roots, residue, polyval, polyderiv, polyinteg}
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31 ## @end deftypefn
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32
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33 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
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34 ## Created: June 1994
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35 ## Adapted-By: jwe
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36
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37 function [b, r] = deconv (y, a)
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38
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39 if (nargin != 2)
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40 print_usage ();
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41 endif
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42
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43 if (! (isvector (y) && isvector (a)))
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44 error("conv: both arguments must be vectors");
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45 endif
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46
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47 la = length (a);
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48 ly = length (y);
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49
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50 lb = ly - la + 1;
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51
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52 ## Ensure A is oriented as Y.
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53 if (diff (size (y)(1:2)) * diff (size (a)(1:2)) < 0)
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54 a = permute (a, [2, 1]);
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55 endif
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56
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57 if (ly > la)
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58 b = filter (y, a, [1, (zeros (1, ly - la))]);
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59 elseif (ly == la)
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60 b = filter (y, a, 1);
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61 else
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62 b = 0;
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63 endif
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64
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65 lc = la + length (b) - 1;
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66 if (ly == lc)
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67 r = y - conv (a, b);
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68 else
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69 ## Respect the orientation of Y"
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70 if (size (y, 1) <= size (y, 2))
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71 r = [(zeros (1, lc - ly)), y] - conv (a, b);
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72 else
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73 r = [(zeros (lc - ly, 1)); y] - conv (a, b);
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74 endif
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75 if (ly < la)
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76 ## Trim the remainder is equal to the length of Y.
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77 r = r(end-(length(y)-1):end);
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78 endif
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79 endif
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80
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81 endfunction
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82
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83 %!test
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84 %! [b, r] = deconv ([3, 6, 9, 9], [1, 2, 3]);
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85 %! assert(all (all (b == [3, 0])) && all (all (r == [0, 0, 0, 9])));
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86
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87 %!test
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88 %! [b, r] = deconv ([3, 6], [1, 2, 3]);
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89 %! assert(b == 0 && all (all (r == [3, 6])));
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90
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91 %!test
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92 %! [b, r] = deconv ([3, 6], [1; 2; 3]);
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93 %! assert(b == 0 && all (all (r == [3, 6])));
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94
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95 %!test
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96 %! [b,r] = deconv ([3; 6], [1; 2; 3]);
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97 %! assert (b == 0 && all (all (r == [3; 6])))
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98
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99 %!test
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100 %! [b, r] = deconv ([3; 6], [1, 2, 3]);
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101 %! assert (b == 0 && all (all (r == [3; 6])))
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102
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103 %!error [b, r] = deconv ([3, 6], [1, 2; 3, 4]);
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104
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105 %!error [b, r] = deconv ([3, 6; 1, 2], [1, 2, 3]);
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106