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update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2021.
author John W. Eaton <jwe@octave.org>
date Wed, 10 Feb 2021 09:52:15 -0500
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2008-2021 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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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {@var{ppi} =} ppint (@var{pp})
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28 ## @deftypefnx {} {@var{ppi} =} ppint (@var{pp}, @var{c})
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29 ## Compute the integral of the piecewise polynomial struct @var{pp}.
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30 ##
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31 ## @var{c}, if given, is the constant of integration.
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32 ## @seealso{mkpp, ppval, ppder}
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33 ## @end deftypefn
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35 function ppi = ppint (pp, c)
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36
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37 if (nargin < 1 || nargin > 2)
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38 print_usage ();
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39 endif
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40 if (! (isstruct (pp) && strcmp (pp.form, "pp")))
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41 error ("ppint: PP must be a structure");
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42 endif
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43
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44 [x, p, n, k, d] = unmkpp (pp);
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45 p = reshape (p, [], k);
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46
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47 ## Get piecewise antiderivatives
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48 pi = p / diag (k:-1:1);
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49 k += 1;
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50 if (nargin == 1)
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51 pi(:, k) = 0;
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52 else
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53 pi(:, k) = repmat (c(:), n, 1);
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54 endif
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55
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56 ppi = mkpp (x, pi, d);
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57
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58 tmp = -cumsum (ppjumps (ppi), length (d) + 1);
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59 ppi.coefs(prod (d)+1 : end, k) = tmp(:);
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60
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61 endfunction
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62
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63
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64 %!shared x,y,pp,ppi
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65 %! x = 0:8;
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66 %! y = [ ones(size(x)); x+1 ];
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67 %! pp = spline (x, y);
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68 %! ppi = ppint (pp);
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69 %!assert (ppval (ppi, x), [x; 0.5*x.^2 + x], 1e-14)
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70 %!assert (ppi.order, 5)