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annotate scripts/polynomial/polyder.m @ 20727:4479d73eac72

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Fix error when building annotation objects in gnuplot (bug #46035) * __gnuplot_draw_figure__.m: ignore uicontextmenu objects.
author Pantxo Diribarne <pantxo.diribarne@gmail.com>
date Sat, 26 Sep 2015 11:26:18 +0200
parents 83792dd9bcc1
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
19898
4197fc428c7d maint: Update copyright notices for 2015.
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 1994-2015 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} {} polyder (@var{p})
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21 ## @deftypefnx {Function File} {[@var{k}] =} polyder (@var{a}, @var{b})
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22 ## @deftypefnx {Function File} {[@var{q}, @var{d}] =} polyder (@var{b}, @var{a})
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23 ## Return the coefficients of the derivative of the polynomial whose
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24 ## coefficients are given by the vector @var{p}.
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25 ##
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26 ## If a pair of polynomials is given, return the derivative of the product
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27 ## @math{@var{a}*@var{b}}.
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28 ##
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29 ## If two inputs and two outputs are given, return the derivative of the
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30 ## polynomial quotient @math{@var{b}/@var{a}}. The quotient numerator is
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31 ## in @var{q} and the denominator in @var{d}.
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32 ## @seealso{polyint, polyval, polyreduce}
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33 ## @end deftypefn
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34
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35 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
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36 ## Created: June 1994
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37 ## Adapted-By: jwe
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38
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39 function [q, d] = polyder (p, a)
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41 if (nargin == 1 || nargin == 2)
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42 if (! isvector (p))
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43 error ("polyder: argument must be a vector");
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44 endif
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45 if (nargin == 2)
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46 if (! isvector (a))
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47 error ("polyder: argument must be a vector");
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48 endif
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49 if (nargout == 1)
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50 ## derivative of p*a returns a single polynomial
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51 q = polyder (conv (p, a));
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52 else
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53 ## derivative of p/a returns numerator and denominator
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54 d = conv (a, a);
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55 if (numel (p) == 1)
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56 q = -p * polyder (a);
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57 elseif (numel (a) == 1)
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58 q = a * polyder (p);
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59 else
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60 q = conv (polyder (p), a) - conv (p, polyder (a));
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61 q = polyreduce (q);
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62 endif
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63
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64 ## remove common factors from numerator and denominator
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65 x = polygcd (q, d);
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66 if (length (x) != 1)
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67 q = deconv (q, x);
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68 d = deconv (d, x);
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69 endif
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70
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71 ## move all the gain into the numerator
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72 q /= d(1);
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73 d /= d(1);
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74 endif
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75 else
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76 lp = numel (p);
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77 if (lp == 1)
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78 q = 0;
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79 return;
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80 elseif (lp == 0)
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81 q = [];
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82 return;
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83 endif
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84
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85 ## Force P to be a row vector.
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86 p = p(:).';
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87
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88 q = p(1:(lp-1)) .* [(lp-1):-1:1];
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89 endif
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90 else
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91 print_usage ();
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92 endif
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93
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94 endfunction
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97 %!assert (polyder ([1, 2, 3], [2, 2]))
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98 %!assert (polyder (13), 0)
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99
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100 %!error polyder ([])
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101 %!error polyder (1,2,3)
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102 %!error <argument must be a vector> polyder ([1, 2; 3, 4])
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103