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annotate scripts/polynomial/ppint.m @ 20279:db30302bedc3

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Added tag rc-4-0-0-3 for changeset 065f933ef083
author John W. Eaton <jwe@octave.org>
date Fri, 10 Apr 2015 14:41:21 -0400
parents 4197fc428c7d
children f1d0f506ee78
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1 ## Copyright (C) 2008-2015 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 ## Octave 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 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} {@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) && strcmp (pp.form, "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 tmp = -cumsum (ppjumps (ppi), length (d) + 1);
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50 ppi.coefs(prod (d)+1 : end, k) = tmp(:);
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51
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52 endfunction
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53
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54
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55 %!shared x,y,pp,ppi
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56 %! x = 0:8;
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57 %! y = [ ones(size(x)); x+1 ];
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58 %! pp = spline (x, y);
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59 %! ppi = ppint (pp);
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60 %!assert (ppval (ppi, x), [x; 0.5*x.^2 + x], 1e-14)
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61 %!assert (ppi.order, 5)
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