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annotate scripts/polynomial/polyder.m @ 13176:9b8e786bbf3c

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maint: use specific endif, endfor tokens instead of simple end * strread.m, __go_draw_axes__.m, ppval.m: Use specific endif, endfor tokens instead of simple end.
author John W. Eaton <jwe@octave.org>
date Tue, 20 Sep 2011 15:41:35 -0400
parents b7a6a3644f3b
children 614505385171
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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} {} 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}. If a pair of polynomials
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25 ## is given, return the derivative of the product @math{@var{a}*@var{b}}.
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26 ## If two inputs and two outputs are given, return the derivative of the
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27 ## polynomial quotient @math{@var{b}/@var{a}}. The quotient numerator is
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28 ## in @var{q} and the denominator in @var{d}.
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29 ## @seealso{poly, polyint, polyreduce, roots, conv, deconv, residue,
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30 ## filter, polygcd, polyval, polyvalm}
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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 [q, d] = polyder (p, a)
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39 if (nargin == 1 || nargin == 2)
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40 if (! isvector (p))
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41 error ("polyder: argument must be a vector");
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42 endif
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43 if (nargin == 2)
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44 if (! isvector (a))
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45 error ("polyder: argument must be a vector");
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46 endif
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47 if (nargout == 1)
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48 ## derivative of p*a returns a single polynomial
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49 q = polyder (conv (p, a));
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50 else
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51 ## derivative of p/a returns numerator and denominator
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52 d = conv (a, a);
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53 if (numel (p) == 1)
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54 q = -p * polyder (a);
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55 elseif (numel (a) == 1)
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56 q = a * polyder (p);
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57 else
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58 q = conv (polyder (p), a) - conv (p, polyder (a));
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59 q = polyreduce (q);
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60 endif
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61
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62 ## remove common factors from numerator and denominator
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63 x = polygcd (q, d);
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64 if (length(x) != 1)
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65 q = deconv (q, x);
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66 d = deconv (d, x);
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67 endif
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68
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69 ## move all the gain into the numerator
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70 q = q/d(1);
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71 d = d/d(1);
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72 endif
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73 else
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74 lp = numel (p);
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75 if (lp == 1)
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76 q = 0;
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77 return;
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78 elseif (lp == 0)
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79 q = [];
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80 return;
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81 endif
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82
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83 ## Force P to be a row vector.
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84 p = p(:).';
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85
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86 q = p(1:(lp-1)) .* [(lp-1):-1:1];
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87 endif
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88 else
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89 print_usage ();
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90 endif
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91
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92 endfunction
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94
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95 %!assert(all (all (polyder ([1, 2, 3]) == [2, 2])));
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96 %!assert(polyder (13) == 0);
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97
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98 %!error polyder ([]);
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99 %!error polyder ([1, 2; 3, 4]);
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100