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annotate scripts/polynomial/ppint.m @ 11536:702dbd0c53f5

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Add undocumented ppder, ppint, ppjumps functions to documentation.
author Rik <octave@nomad.inbox5.com>
date Fri, 14 Jan 2011 15:55:45 -0800
parents fd0a3ac60b0e
children c792872f8942
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fd0a3ac60b0e update copyright notices
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 2008-2011 VZLU Prague, a.s., Czech Republic
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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
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6 ## it 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
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8 ## (at your option) any later version.
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9 ##
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10 ## This program is distributed in the hope that it will be useful,
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11 ## but WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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13 ## GNU 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 this software; 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} {@var{ppi} =} ppint (@var{pp})
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21 ## @deftypefnx {Function File} {@var{ppi} =} ppint (@var{pp}, @var{c})
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22 ## Compute the integral of the piecewise polynomial struct @var{pp}.
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23 ## @var{c}, if given, is the constant of integration.
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24 ## @seealso{mkpp,ppval,ppder}
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25 ## @end deftypefn
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26
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27 function ppi = ppint (pp, c)
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28 if (nargin < 1 || nargin > 2)
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29 print_usage ();
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30 endif
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31 if (! isstruct (pp))
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32 error ("ppint: PP must be a structure");
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33 endif
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34
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35 [x, p, n, k, d] = unmkpp (pp);
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36 p = reshape (p, [], k);
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37
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38 ## Get piecewise antiderivatives
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39 pi = p / diag (k:-1:1);
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40 k += 1;
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41 if (nargin == 1)
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42 pi(:,k) = 0;
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43 else
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44 pi(:,k) = repmat (c(:), n, 1);
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45 endif
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46
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47 ppi = mkpp (x, pi, d);
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48
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49 ## Adjust constants so the the result is continuous.
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50
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51 jumps = reshape (ppjumps (ppi), prod (d), n-1);
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52 ppi.P(:,2:n,k) -= cumsum (jumps, 2);
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53
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54 endfunction
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55