Mercurial > hg > octave-lyh
diff scripts/polynomial/ppint.m @ 9976:702b998698ea
implement ppder, ppint, ppjmups
author | Jaroslav Hajek <highegg@gmail.com> |
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date | Sun, 13 Dec 2009 13:18:27 +0100 |
parents | |
children | d1978e7364ad |
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new file mode 100644 --- /dev/null +++ b/scripts/polynomial/ppint.m @@ -0,0 +1,55 @@ +## Copyright (C) 2008, 2009 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 this software; see the file COPYING. If not, see +## <http://www.gnu.org/licenses/>. + +## -*- texinfo -*- +## @deftypefn{Function File} {ppd =} ppint (pp, c) +## Computes the antiderivative of a piecewise polynomial struct @var{pp}. +## @var{c}, if given, is the constant of integration. +## @seealso{mkpp,ppval} +## @end deftypefn + +function ppi = ppint (pp, c) + if (nargin < 1 || nargin > 2) + print_usage (); + endif + if (! isstruct (pp)) + error ("ppder: expects a pp structure"); + endif + + [x, p, n, k, d] = unmkpp (pp); + p = reshape (p, [], k); + + ## Get piecewise antiderivatives + pi = p / diag (k:-1:1); + k += 1; + if (nargin == 1) + pi(:,k) = 0; + else + pi(:,k) = repmat (c(:), n, 1); + endif + + ppi = mkpp (x, pi, d); + + ## Adjust constants so the the result is continuous. + + jumps = reshape (ppjumps (ppi), prod (d), n-1); + ppi.P(:,2:n,k) -= cumsum (jumps, 2); + +endfunction + +