Mercurial > forge
comparison main/splines/ppval.m @ 0:6b33357c7561 octave-forge
Initial revision
author | pkienzle |
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date | Wed, 10 Oct 2001 19:54:49 +0000 |
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-1:000000000000 | 0:6b33357c7561 |
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1 ## Copyright (C) 2000 Paul Kienzle | |
2 ## | |
3 ## This program is free software; you can redistribute it and/or modify | |
4 ## it under the terms of the GNU General Public License as published by | |
5 ## the Free Software Foundation; either version 2 of the License, or | |
6 ## (at your option) any later version. | |
7 ## | |
8 ## This program is distributed in the hope that it will be useful, | |
9 ## but WITHOUT ANY WARRANTY; without even the implied warranty of | |
10 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
11 ## GNU General Public License for more details. | |
12 ## | |
13 ## You should have received a copy of the GNU General Public License | |
14 ## along with this program; if not, write to the Free Software | |
15 ## Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA | |
16 | |
17 ## usage: yi = ppval(pp, xi) | |
18 ## Evaluate piece-wise polynomial pp and points xi. If pp.d > 1, | |
19 ## the returned yi will be a matrix of size rows(xi) by pp.d, or | |
20 ## its transpose if xi is a row vector. | |
21 | |
22 function yi = ppval(pp, xi) | |
23 if nargin != 2 | |
24 usage("yi = ppval(pp, xi)") | |
25 endif | |
26 if !isstruct(pp) | |
27 error("ppval: expects a pp structure"); | |
28 endif | |
29 if (isempty (xi)) | |
30 yi = []; | |
31 else | |
32 transposed = (rows(xi) == 1); | |
33 [nr, nc] = size(xi); | |
34 xi = xi(:); | |
35 idx = lookup(pp.x(2:pp.n), xi) + 1; | |
36 dx = xi - pp.x(idx); | |
37 dx = dx(:,ones(1,pp.d)); | |
38 c = reshape (pp.P(:, 1), pp.n, pp.d); | |
39 yi = c(idx, :); | |
40 for i = 2 : pp.k; | |
41 c = reshape (pp.P(:, i), pp.n, pp.d); | |
42 yi = yi .* dx + c(idx, :); | |
43 endfor | |
44 if (transposed) | |
45 yi = yi.'; | |
46 endif | |
47 endif | |
48 endfunction |