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annotate scripts/polynomial/ppder.m @ 19833:9fc020886ae9

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maint: Clean up m-files to follow Octave coding conventions. Try to trim long lines to < 80 chars. Use '##' for single line comments. Use '(...)' around tests for if/elseif/switch/while. Abut cell indexing operator '{' next to variable. Abut array indexing operator '(' next to variable. Use space between negation operator '!' and following expression. Use two newlines between endfunction and start of %!test or %!demo code. Remove unnecessary parens grouping between short-circuit operators. Remove stray extra spaces (typos) between variables and assignment operators. Remove stray extra spaces from ends of lines.
author Rik <rik@octave.org>
date Mon, 23 Feb 2015 14:54:39 -0800
parents 4197fc428c7d
children f1d0f506ee78
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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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 ## 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 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} {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 = 1)
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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 endif
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32
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33 if (! (isstruct (pp) && strcmp (pp.form, "pp")))
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34 error ("ppder: PP must be a structure");
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35 endif
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36
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37 [x, p, n, k, d] = unmkpp (pp);
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38
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39 if (k - m <= 0)
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40 x = [x(1) x(end)];
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41 pd = zeros (prod (d), 1);
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42 else
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43 f = k : -1 : 1;
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44 ff = bincoeff (f, m + 1) .* factorial (m + 1) ./ f;
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45 k -= m;
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46 pd = p(:,1:k) * diag (ff(1:k));
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47 endif
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48
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49 ppd = mkpp (x, pd, d);
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50 endfunction
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51
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52
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53 %!shared x,y,pp,ppd
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54 %! x = 0:8;
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55 %! y = [x.^2; x.^3+1];
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56 %! pp = spline (x, y);
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57 %! ppd = ppder (pp);
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58 %!assert (ppval (ppd, x), [2*x; 3*x.^2], 1e-14)
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59 %!assert (ppd.order, 3)
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60 %! ppd = ppder (pp, 2);
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61 %!assert (ppval (ppd, x), [2*ones(size (x)); 6*x], 1e-14)
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62 %!assert (ppd.order, 2)
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63 %! ppd = ppder (pp, 3);
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64 %!assert (ppd.order, 1)
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65 %!assert (ppd.pieces, 8)
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66 %!assert (size (ppd.coefs), [16, 1])
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67 %! ppd = ppder (pp, 4);
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68 %!assert (ppd.order, 1)
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69 %!assert (ppd.pieces, 1)
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70 %!assert (size (ppd.coefs), [2, 1])
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71 %!assert (ppval (ppd,x), zeros (size (y)), 1e-14)
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72