Mercurial > octave-nkf
view scripts/polynomial/unmkpp.m @ 20596:87b557ee8e5d
clean up and vectorize code for dense output in ode45
* scripts/ode/private/ode_rk_interpolate.m: new file
* scripts/ode/private/ode_rk_interpolate.m(hermite_quartic_interpolation):
move to internal function, use vectorization and broadcasting.
* scripts/ode/private/hermite_quartic_interpolation.m: remove file
* scripts/ode/module.mk: list added and removed files
* scripts/ode/private/integrate_adaptive.m: use new interpolation code.
author | Carlo de Falco <carlo.defalco@polimi.it> |
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date | Tue, 06 Oct 2015 19:28:59 +0200 |
parents | aa36fb998a4d |
children |
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## Copyright (C) 2000-2015 Paul Kienzle ## ## 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. ## ## Octave 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} {[@var{x}, @var{p}, @var{n}, @var{k}, @var{d}] =} unmkpp (@var{pp}) ## ## Extract the components of a piecewise polynomial structure @var{pp}. ## ## The components are: ## ## @table @asis ## @item @var{x} ## Sample points. ## ## @item @var{p} ## Polynomial coefficients for points in sample interval. ## @code{@var{p} (@var{i}, :)} contains the coefficients for the polynomial ## over interval @var{i} ordered from highest to lowest. If ## @code{@var{d} > 1}, @code{@var{p} (@var{r}, @var{i}, :)} contains the ## coefficients for the r-th polynomial defined on interval @var{i}. ## ## @item @var{n} ## Number of polynomial pieces. ## ## @item @var{k} ## Order of the polynomial plus 1. ## ## @item @var{d} ## Number of polynomials defined for each interval. ## @end table ## ## @seealso{mkpp, ppval, spline, pchip} ## @end deftypefn function [x, P, n, k, d] = unmkpp (pp) if (nargin != 1) print_usage (); endif if (! (isstruct (pp) && isfield (pp, "form") && strcmp (pp.form, "pp"))) error ("unmkpp: PP must be a piecewise polynomial structure"); endif x = pp.breaks; P = pp.coefs; n = pp.pieces; k = pp.order; d = pp.dim; endfunction %!test %! b = 1:3; %! c = 1:24; %! pp = mkpp (b,c); %! [x, P, n, k, d] = unmkpp (pp); %! assert (x, b); %! assert (P, reshape (c, [2 12])); %! assert (n, 2); %! assert (k, 12); %! assert (d, 1); ## Test input validation %!error unmkpp () %!error unmkpp (1,2) %!error <piecewise polynomial structure> unmkpp (1) %!error <piecewise polynomial structure> unmkpp (struct ("field1", "pp")) %!error <piecewise polynomial structure> unmkpp (struct ("form", "not_a_pp"))