annotate scripts/linear-algebra/cross.m @ 3238:041ea33fbbf4

[project @ 1999-03-26 17:48:16 by jwe]
author jwe
date Fri, 26 Mar 1999 17:48:35 +0000
parents e6d14959bea9
children 6923abb04e16
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
2540
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
1 ## Copyright (C) 1995, 1996 Kurt Hornik
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
2 ##
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
3 ## This program is free software; you can redistribute it and/or modify
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
4 ## it under the terms of the GNU General Public License as published by
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
5 ## the Free Software Foundation; either version 2, or (at your option)
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
6 ## any later version.
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
7 ##
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
8 ## This program is distributed in the hope that it will be useful, but
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
9 ## WITHOUT ANY WARRANTY; without even the implied warranty of
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
10 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
11 ## General Public License for more details.
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
12 ##
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
13 ## You should have received a copy of the GNU General Public License
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
14 ## along with this file. If not, write to the Free Software Foundation,
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
15 ## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
16
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
17 ## usage: cross (x, y)
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
18 ##
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
19 ## Computes the vector cross product of the two 3-dimensional vectors
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
20 ## x and y.
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
21
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
22 ## Author: KH <Kurt.Hornik@ci.tuwien.ac.at>
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
23 ## Created: 15 October 1994
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
24 ## Adapted-By: jwe
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
25
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
26 function z = cross (x, y)
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
27
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
28 if (nargin != 2)
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
29 usage ("cross (x, y)");
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
30 endif
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
31
3085
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
32 if (length (x) == 3 && length (y) == 3)
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
33
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
34 z = [x(2)*y(3) - x(3)*y(2); x(3)*y(1) - x(1)*y(3); x(1)*y(2) - x(2)*y(1)];
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
35
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
36 x_nr = rows (x);
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
37 y_nr = rows (y);
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
38
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
39 if ((x_nr == y_nr && x_nr == 1)
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
40 || (x_nr != y_nr && ! prefer_column_vectors))
3238
041ea33fbbf4 [project @ 1999-03-26 17:48:16 by jwe]
jwe
parents: 3085
diff changeset
41 z = z.';
3085
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
42 endif
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
43
e6d14959bea9 [project @ 1997-09-19 22:06:12 by jwe]
jwe
parents: 2540
diff changeset
44 else
2540
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
45 error ("cross: both x and y must be 3-dimensional vectors");
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
46 endif
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
47
c3d634d49ce4 [project @ 1996-11-20 00:20:12 by jwe]
jwe
parents:
diff changeset
48 endfunction