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annotate scripts/polynomial/polyint.m @ 19775:c8cb111e727e

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maint: Periodic merge of gui-release to default.
author John W. Eaton <jwe@octave.org>
date Wed, 14 Jan 2015 13:54:28 -0500
parents d63878346099
children 4197fc428c7d
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d63878346099 maint: Update copyright notices for release.
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 1996-2013 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} {} polyint (@var{p})
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21 ## @deftypefnx {Function File} {} polyint (@var{p}, @var{k})
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22 ## Return the coefficients of the integral of the polynomial whose
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23 ## coefficients are represented by the vector @var{p}. The variable
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24 ## @var{k} is the constant of integration, which by default is set to zero.
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25 ## @seealso{polyder, polyval}
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26 ## @end deftypefn
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27
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28 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
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29 ## Created: June 1994
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30 ## Adapted-By: jwe
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31
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32 function retval = polyint (p, k)
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33
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34 if (nargin < 1 || nargin > 2)
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35 print_usage ();
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36 endif
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37
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38 if (nargin == 1)
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39 k = 0;
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40 elseif (! isscalar (k))
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41 error ("polyint: the constant of integration must be a scalar");
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42 endif
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43
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44 if (! (isvector (p) || isempty (p)))
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45 error ("polyint: argument must be a vector");
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46 endif
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47
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48 lp = length (p);
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49
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50 if (lp == 0)
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51 retval = [];
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52 return;
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53 endif
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54
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55 if (rows (p) > 1)
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56 ## Convert to column vector
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57 p = p.';
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58 endif
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59
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60 retval = [(p ./ [lp:-1:1]), k];
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61
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62 endfunction
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63
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64
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65 %!test
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66 %! A = [3, 2, 1];
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67 %! assert (polyint (A), polyint (A,0));
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68 %! assert (polyint (A), polyint (A'));
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69 %! assert (polyint (A), [1, 1, 1, 0]);
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70 %! assert (polyint (A,1), ones (1,4));
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72 %!test
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73 %! A = ones (1,8);
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74 %! B = [length(A):-1:1];
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75 %! assert (polyint (A), [1./B, 0]);
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77 %!error polyint ()
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78 %!error polyint (ones (2,2))
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