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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 2020.
author John W. Eaton <jwe@octave.org>
date Mon, 06 Jan 2020 22:29:51 -0500
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1891570abac8 update Octave Project Developers copyright for the new year
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1 ## Copyright (C) 2008-2020 The Octave Project Developers
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2 ##
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3 ## See the file COPYRIGHT.md in the top-level directory of this distribution
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4 ## or <https://octave.org/COPYRIGHT.html/>.
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5 ##
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6 ##
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7 ## This file is part of Octave.
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8 ##
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9 ## Octave is free software: you can redistribute it and/or modify it
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10 ## under the terms of the GNU General Public License as published by
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11 ## the Free Software Foundation, either version 3 of the License, or
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12 ## (at your option) any later version.
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13 ##
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14 ## Octave is distributed in the hope that it will be useful, but
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15 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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16 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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17 ## GNU General Public License for more details.
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18 ##
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19 ## You should have received a copy of the GNU General Public License
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20 ## along with Octave; see the file COPYING. If not, see
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21 ## <https://www.gnu.org/licenses/>.
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22
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23 ## -*- texinfo -*-
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24 ## @deftypefn {} {ppd =} ppder (pp)
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25 ## @deftypefnx {} {ppd =} ppder (pp, m)
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26 ## Compute the piecewise @var{m}-th derivative of a piecewise polynomial
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27 ## struct @var{pp}.
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28 ##
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29 ## If @var{m} is omitted the first derivative is calculated.
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30 ## @seealso{mkpp, ppval, ppint}
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31 ## @end deftypefn
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32
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33 function ppd = ppder (pp, m = 1)
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34
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35 if (nargin < 1 || nargin > 2)
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36 print_usage ();
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37 endif
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38
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39 if (! (isstruct (pp) && strcmp (pp.form, "pp")))
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40 error ("ppder: PP must be a structure");
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41 endif
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42
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43 [x, p, n, k, d] = unmkpp (pp);
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44
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45 if (k - m <= 0)
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46 x = [x(1) x(end)];
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47 pd = zeros (prod (d), 1);
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48 else
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49 f = k : -1 : 1;
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50 ff = bincoeff (f, m + 1) .* factorial (m + 1) ./ f;
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51 k -= m;
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52 pd = p(:,1:k) * diag (ff(1:k));
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53 endif
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54
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55 ppd = mkpp (x, pd, d);
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56
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57 endfunction
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58
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59
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60 %!shared x,y,pp,ppd
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61 %! x = 0:8;
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62 %! y = [x.^2; x.^3+1];
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63 %! pp = spline (x, y);
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64 %! ppd = ppder (pp);
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65 %!assert (ppval (ppd, x), [2*x; 3*x.^2], 1e-14)
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66 %!assert (ppd.order, 3)
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67 %! ppd = ppder (pp, 2);
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68 %!assert (ppval (ppd, x), [2*ones(size (x)); 6*x], 1e-14)
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69 %!assert (ppd.order, 2)
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70 %! ppd = ppder (pp, 3);
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71 %!assert (ppd.order, 1)
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72 %!assert (ppd.pieces, 8)
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73 %!assert (size (ppd.coefs), [16, 1])
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74 %! ppd = ppder (pp, 4);
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75 %!assert (ppd.order, 1)
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76 %!assert (ppd.pieces, 1)
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77 %!assert (size (ppd.coefs), [2, 1])
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78 %!assert (ppval (ppd,x), zeros (size (y)), 1e-14)