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annotate scripts/polynomial/ppjumps.m @ 9976:702b998698ea

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implement ppder, ppint, ppjmups
author Jaroslav Hajek <highegg@gmail.com>
date Sun, 13 Dec 2009 13:18:27 +0100
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children be55736a0783
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9976
702b998698ea implement ppder, ppint, ppjmups
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1 ## Copyright (C) 2008, 2009 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,
702b998698ea implement ppder, ppint, ppjmups
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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
702b998698ea implement ppder, ppint, ppjmups
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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} {ppd =} ppjumps (pp)
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21 ## Evaluates the boundary jumps of a piecewise polynomial.
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22 ## If there are n intervals, and the dimensionality of pp is d,
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23 ## the resulting array has dimensions @code{[d, n-1]}.
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24 ## @end deftypefn
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25
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26 function jumps = ppjumps (pp)
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27 if (nargin != 1)
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28 print_usage ();
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29 endif
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30 if (! isstruct (pp))
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31 error ("ppjumps: expects a pp structure");
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32 endif
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33
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34 ## Extract info.
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35 x = pp.x;
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36 P = pp.P;
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37 d = pp.d;
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38 [nd, n, k] = size (P);
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39
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40 ## Offsets.
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41 dx = diff (x(1:n)).';
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42 dx = dx(ones (1, nd), :); # spread (do nothing in 1D)
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43
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44 ## Use Horner scheme to get limits from the left.
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45 llim = P(:,1:n-1,1);
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46 for i = 2:k;
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47 llim .*= dx;
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48 llim += P(:,1:n-1,i);
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49 endfor
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50
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51 rlim = P(:,2:n,k); # limits from the right
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52 jumps = reshape (rlim - llim, [d, n-1]);
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53
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54 endfunction