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maint: update copyright notices for 2012
author John W. Eaton <jwe@octave.org>
date Mon, 02 Jan 2012 14:25:41 -0500
parents 614505385171
children f3d52523cde1
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1 ## Copyright (C) 2008-2012 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} {ppd =} ppder (pp)
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21 ## @deftypefnx {Function File} {ppd =} ppder (pp, m)
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22 ## Compute the piecewise @var{m}-th derivative of a piecewise polynomial
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23 ## struct @var{pp}. If @var{m} is omitted the first derivative is calculated.
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24 ## @seealso{mkpp, ppval, ppint}
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25 ## @end deftypefn
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26
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27 function ppd = ppder (pp, m)
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28
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29 if ((nargin < 1) || (nargin > 2))
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30 print_usage ();
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31 elseif (nargin == 1)
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32 m = 1;
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33 endif
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34
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35 if (! (isstruct (pp) && strcmp (pp.form, "pp")))
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36 error ("ppder: PP must be a structure");
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37 endif
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38
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39 [x, p, n, k, d] = unmkpp (pp);
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40
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41 if (k - m <= 0)
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42 x = [x(1) x(end)];
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43 pd = zeros (prod (d), 1);
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44 else
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45 f = k : -1 : 1;
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46 ff = bincoeff (f, m + 1) .* factorial (m + 1) ./ f;
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47 k -= m;
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48 pd = p(:,1:k) * diag (ff(1:k));
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49 endif
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50
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51 ppd = mkpp (x, pd, d);
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52 endfunction
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53
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54 %!shared x,y,pp,ppd
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55 %! x=0:8;y=[x.^2;x.^3+1];pp=spline(x,y);
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56 %! ppd=ppder(pp);
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57 %!assert(ppval(ppd,x),[2*x;3*x.^2],1e-14)
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58 %!assert(ppd.order,3)
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59 %! ppd=ppder(pp,2);
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60 %!assert(ppval(ppd,x),[2*ones(size(x));6*x],1e-14)
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61 %!assert(ppd.order,2)
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62 %! ppd=ppder(pp,3);
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63 %!assert(ppd.order,1)
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64 %!assert(ppd.pieces,8)
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65 %!assert(size(ppd.coefs),[16,1])
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66 %! ppd=ppder(pp,4);
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67 %!assert(ppd.order,1)
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68 %!assert(ppd.pieces,1)
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69 %!assert(size(ppd.coefs),[2,1])
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70 %!assert(ppval(ppd,x),zeros(size(y)),1e-14)