Mercurial > octave-antonio
view scripts/polynomial/ppder.m @ 20165:f1d0f506ee78 stable
doc: Update more docstrings to have one sentence summary as first line.
Reviewed optimization, polynomial, signal script directories.
* scripts/optimization/fminbnd.m, scripts/optimization/fminsearch.m,
scripts/optimization/fminunc.m, scripts/optimization/fsolve.m,
scripts/optimization/fzero.m, scripts/optimization/glpk.m,
scripts/optimization/lsqnonneg.m, scripts/optimization/pqpnonneg.m,
scripts/optimization/qp.m, scripts/optimization/sqp.m,
scripts/polynomial/compan.m, scripts/polynomial/mkpp.m,
scripts/polynomial/mpoles.m, scripts/polynomial/pchip.m,
scripts/polynomial/poly.m, scripts/polynomial/polyaffine.m,
scripts/polynomial/polyder.m, scripts/polynomial/polyeig.m,
scripts/polynomial/polyfit.m, scripts/polynomial/polygcd.m,
scripts/polynomial/polyint.m, scripts/polynomial/polyout.m,
scripts/polynomial/polyval.m, scripts/polynomial/ppder.m,
scripts/polynomial/ppint.m, scripts/polynomial/ppjumps.m,
scripts/polynomial/ppval.m, scripts/polynomial/residue.m,
scripts/polynomial/roots.m, scripts/polynomial/spline.m,
scripts/polynomial/splinefit.m, scripts/polynomial/unmkpp.m,
scripts/signal/arch_fit.m, scripts/signal/arch_rnd.m,
scripts/signal/arma_rnd.m, scripts/signal/autoreg_matrix.m,
scripts/signal/bartlett.m, scripts/signal/blackman.m, scripts/signal/detrend.m,
scripts/signal/diffpara.m, scripts/signal/durbinlevinson.m,
scripts/signal/fftconv.m, scripts/signal/fftfilt.m, scripts/signal/fftshift.m,
scripts/signal/filter2.m, scripts/signal/freqz.m, scripts/signal/hamming.m,
scripts/signal/hanning.m, scripts/signal/hurst.m, scripts/signal/ifftshift.m,
scripts/signal/periodogram.m, scripts/signal/sinc.m, scripts/signal/sinetone.m,
scripts/signal/sinewave.m, scripts/signal/spectral_adf.m,
scripts/signal/spectral_xdf.m, scripts/signal/spencer.m, scripts/signal/stft.m,
scripts/signal/synthesis.m, scripts/signal/unwrap.m,
scripts/signal/yulewalker.m:
Update more docstrings to have one sentence summary as first line.
author | Rik <rik@octave.org> |
---|---|
date | Mon, 04 May 2015 21:50:57 -0700 |
parents | 9fc020886ae9 |
children |
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## Copyright (C) 2008-2015 VZLU Prague, a.s., Czech Republic ## ## This file is part of Octave. ## ## Octave is free software; you can redistribute it and/or modify ## it under the terms of the GNU General Public License as published by ## the Free Software Foundation; either version 3 of the License, or ## (at your option) any later version. ## ## This program is distributed in the hope that it will be useful, ## but WITHOUT ANY WARRANTY; without even the implied warranty of ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the ## GNU General Public License for more details. ## ## You should have received a copy of the GNU General Public License ## along with Octave; see the file COPYING. If not, see ## <http://www.gnu.org/licenses/>. ## -*- texinfo -*- ## @deftypefn {Function File} {ppd =} ppder (pp) ## @deftypefnx {Function File} {ppd =} ppder (pp, m) ## Compute the piecewise @var{m}-th derivative of a piecewise polynomial ## struct @var{pp}. ## ## If @var{m} is omitted the first derivative is calculated. ## @seealso{mkpp, ppval, ppint} ## @end deftypefn function ppd = ppder (pp, m = 1) if (nargin < 1 || nargin > 2) print_usage (); endif if (! (isstruct (pp) && strcmp (pp.form, "pp"))) error ("ppder: PP must be a structure"); endif [x, p, n, k, d] = unmkpp (pp); if (k - m <= 0) x = [x(1) x(end)]; pd = zeros (prod (d), 1); else f = k : -1 : 1; ff = bincoeff (f, m + 1) .* factorial (m + 1) ./ f; k -= m; pd = p(:,1:k) * diag (ff(1:k)); endif ppd = mkpp (x, pd, d); endfunction %!shared x,y,pp,ppd %! x = 0:8; %! y = [x.^2; x.^3+1]; %! pp = spline (x, y); %! ppd = ppder (pp); %!assert (ppval (ppd, x), [2*x; 3*x.^2], 1e-14) %!assert (ppd.order, 3) %! ppd = ppder (pp, 2); %!assert (ppval (ppd, x), [2*ones(size (x)); 6*x], 1e-14) %!assert (ppd.order, 2) %! ppd = ppder (pp, 3); %!assert (ppd.order, 1) %!assert (ppd.pieces, 8) %!assert (size (ppd.coefs), [16, 1]) %! ppd = ppder (pp, 4); %!assert (ppd.order, 1) %!assert (ppd.pieces, 1) %!assert (size (ppd.coefs), [2, 1]) %!assert (ppval (ppd,x), zeros (size (y)), 1e-14)