Mercurial > hg > octave-nkf

annotate scripts/polynomial/ppint.m @ 10544:9961fc022d9d

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
fix assignment to non-existing variables and octave_value::assign
author Jaroslav Hajek <highegg@gmail.com>
date Fri, 23 Apr 2010 11:23:43 +0200
parents 702b998698ea
children d1978e7364ad
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
9976
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1 ## Copyright (C) 2008, 2009 VZLU Prague, a.s., Czech Republic
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2 ##
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
3 ## This file is part of Octave.
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
4 ##
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
5 ## Octave is free software; you can redistribute it and/or modify
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
6 ## it under the terms of the GNU General Public License as published by
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
7 ## the Free Software Foundation; either version 3 of the License, or
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
8 ## (at your option) any later version.
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
9 ##
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
10 ## This program is distributed in the hope that it will be useful,
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
11 ## but WITHOUT ANY WARRANTY; without even the implied warranty of
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
13 ## GNU General Public License for more details.
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
14 ##
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
15 ## You should have received a copy of the GNU General Public License
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
16 ## along with this software; see the file COPYING. If not, see
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
17 ## <http://www.gnu.org/licenses/>.
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
18
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
19 ## -*- texinfo -*-
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
20 ## @deftypefn{Function File} {ppd =} ppint (pp, c)
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
21 ## Computes the antiderivative of a piecewise polynomial struct @var{pp}.
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
22 ## @var{c}, if given, is the constant of integration.
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
23 ## @seealso{mkpp,ppval}
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
24 ## @end deftypefn
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
25
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
26 function ppi = ppint (pp, c)
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
27 if (nargin < 1 || nargin > 2)
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
28 print_usage ();
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
29 endif
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
30 if (! isstruct (pp))
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
31 error ("ppder: expects a pp structure");
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
32 endif
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
33
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
34 [x, p, n, k, d] = unmkpp (pp);
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
35 p = reshape (p, [], k);
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
36
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
37 ## Get piecewise antiderivatives
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
38 pi = p / diag (k:-1:1);
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
39 k += 1;
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
40 if (nargin == 1)
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
41 pi(:,k) = 0;
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
42 else
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
43 pi(:,k) = repmat (c(:), n, 1);
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
44 endif
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
45
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
46 ppi = mkpp (x, pi, d);
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
47
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
48 ## Adjust constants so the the result is continuous.
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
49
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
50 jumps = reshape (ppjumps (ppi), prod (d), n-1);
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
51 ppi.P(:,2:n,k) -= cumsum (jumps, 2);
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
52
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
53 endfunction
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
54
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
55