Mercurial > octave-nkf

annotate scripts/polynomial/ppjumps.m @ 11536:702dbd0c53f5

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Add undocumented ppder, ppint, ppjumps functions to documentation.
author Rik <octave@nomad.inbox5.com>
date Fri, 14 Jan 2011 15:55:45 -0800
parents fd0a3ac60b0e
children c792872f8942
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
11523
fd0a3ac60b0e update copyright notices
John W. Eaton <jwe@octave.org>
parents: 11472
diff changeset
1 ## Copyright (C) 2008-2011 VZLU Prague, a.s., Czech Republic
9976
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 -*-
11472
1740012184f9 Use uppercase for variable names in error() strings to match Info documentation. Only m-files done.
Rik <octave@nomad.inbox5.com>
parents: 10793
diff changeset
20 ## @deftypefn {Function File} {@var{jumps} =} ppjumps (@var{pp})
11536
702dbd0c53f5 Add undocumented ppder, ppint, ppjumps functions to documentation.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
21 ## Evaluate the boundary jumps of a piecewise polynomial.
702dbd0c53f5 Add undocumented ppder, ppint, ppjumps functions to documentation.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
22 ## If there are @math{n} intervals, and the dimensionality of @var{pp} is
702dbd0c53f5 Add undocumented ppder, ppint, ppjumps functions to documentation.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
23 ## @math{d}, the resulting array has dimensions @code{[d, n-1]}.
702dbd0c53f5 Add undocumented ppder, ppint, ppjumps functions to documentation.
Rik <octave@nomad.inbox5.com>
parents: 11523
diff changeset
24 ## @seealso{mkpp}
9976
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
25 ## @end deftypefn
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
26
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
27 function jumps = ppjumps (pp)
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
28 if (nargin != 1)
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
29 print_usage ();
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
30 endif
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
31 if (! isstruct (pp))
11472
1740012184f9 Use uppercase for variable names in error() strings to match Info documentation. Only m-files done.
Rik <octave@nomad.inbox5.com>
parents: 10793
diff changeset
32 error ("ppjumps: PP must be a structure");
9976
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
33 endif
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
34
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
35 ## Extract info.
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
36 x = pp.x;
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
37 P = pp.P;
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
38 d = pp.d;
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
39 [nd, n, k] = size (P);
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
40
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
41 ## Offsets.
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
42 dx = diff (x(1:n)).';
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
43 dx = dx(ones (1, nd), :); # spread (do nothing in 1D)
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
44
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
45 ## Use Horner scheme to get limits from the left.
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
46 llim = P(:,1:n-1,1);
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
47 for i = 2:k;
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
48 llim .*= dx;
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
49 llim += P(:,1:n-1,i);
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
50 endfor
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
51
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
52 rlim = P(:,2:n,k); # limits from the right
702b998698ea implement ppder, ppint, ppjmups
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
53 jumps = reshape (rlim - llim, [d, n-1]);
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 endfunction
11472
1740012184f9 Use uppercase for variable names in error() strings to match Info documentation. Only m-files done.
Rik <octave@nomad.inbox5.com>
parents: 10793
diff changeset
56