Mercurial > octave

annotate scripts/geometry/rotx.m @ 33625:d213a148b3f1 default tip @

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
ensure exp. terminal widget has focus at startup * main-window.cc (main_window): call focus_command_window only if event loop is idle by using a single shot timer * main-window.h: make focus_command_window a public slot
author Torsten Lilge <ttl-octave@mailbox.org>
date Sun, 26 May 2024 02:29:44 +0200
parents 2e484f9f1f18
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
27923
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
1 ########################################################################
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
2 ##
32632
2e484f9f1f18 maint: update Octave Project Developers copyright for the new year
John W. Eaton <jwe@octave.org>
parents: 31706
diff changeset
3 ## Copyright (C) 2019-2024 The Octave Project Developers
27918
b442ec6dda5c use centralized file for copyright info for individual contributors
John W. Eaton <jwe@octave.org>
parents: 27801
diff changeset
4 ##
27923
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
5 ## See the file COPYRIGHT.md in the top-level directory of this
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
6 ## distribution or <https://octave.org/copyright/>.
27274
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
7 ##
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
8 ## This file is part of Octave.
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
9 ##
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
10 ## Octave is free software: you can redistribute it and/or modify it
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
11 ## under the terms of the GNU General Public License as published by
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
12 ## the Free Software Foundation, either version 3 of the License, or
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
13 ## (at your option) any later version.
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
14 ##
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
15 ## Octave is distributed in the hope that it will be useful, but
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
18 ## GNU General Public License for more details.
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
19 ##
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
20 ## You should have received a copy of the GNU General Public License
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
21 ## along with Octave; see the file COPYING. If not, see
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
22 ## <https://www.gnu.org/licenses/>.
27923
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
23 ##
bd51beb6205e update formatting of copyright notices
John W. Eaton <jwe@octave.org>
parents: 27919
diff changeset
24 ########################################################################
27274
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
25
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
26 ## -*- texinfo -*-
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
27 ## @deftypefn {} {@var{T} =} rotx (@var{angle})
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
28 ##
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
29 ## @code{rotx} returns the 3x3 transformation matrix corresponding to an active
28920
601b6c7728ed maint: match names in documentation to input parameters in function.
Rik <rik@octave.org>
parents: 28891
diff changeset
30 ## rotation of a vector about the x-axis by the specified @var{angle}, given in
601b6c7728ed maint: match names in documentation to input parameters in function.
Rik <rik@octave.org>
parents: 28891
diff changeset
31 ## degrees, where a positive angle corresponds to a counterclockwise
27274
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
32 ## rotation when viewing the y-z plane from the positive x side.
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
33 ##
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
34 ## The form of the transformation matrix is:
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
35 ## @tex
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
36 ## $$
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
37 ## T = \left[\matrix{ 1 & 0 & 0 \cr
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
38 ## 0 & \cos(angle) & -\sin(angle)\cr
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
39 ## 0 & \sin(angle) & \cos(angle)}\right].
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
40 ## $$
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
41 ## @end tex
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
42 ## @ifnottex
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
43 ##
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
44 ## @example
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
45 ## @group
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
46 ## | 1 0 0 |
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
47 ## T = | 0 cos(@var{angle}) -sin(@var{angle}) |
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
48 ## | 0 sin(@var{angle}) cos(@var{angle}) |
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
49 ## @end group
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
50 ## @end example
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
51 ## @end ifnottex
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
52 ##
27801
1d04f049a859 doc: spellcheck documentation ahead of 6.1 release.
Rik <rik@octave.org>
parents: 27794
diff changeset
53 ## This rotation matrix is intended to be used as a left-multiplying matrix
28920
601b6c7728ed maint: match names in documentation to input parameters in function.
Rik <rik@octave.org>
parents: 28891
diff changeset
54 ## when acting on a column vector, using the notation
601b6c7728ed maint: match names in documentation to input parameters in function.
Rik <rik@octave.org>
parents: 28891
diff changeset
55 ## @code{@var{v} = @var{T}*@var{u}}.
27274
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
56 ## For example, a vector, @var{u}, pointing along the positive y-axis, rotated
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
57 ## 90-degrees about the x-axis, will result in a vector pointing along the
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
58 ## positive z-axis:
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
59 ##
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
60 ## @example
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
61 ## @group
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
62 ## >> u = [0 1 0]'
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
63 ## u =
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
64 ## 0
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
65 ## 1
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
66 ## 0
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
67 ##
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
68 ## >> T = rotx (90)
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
69 ## T =
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
70 ## 1.00000 0.00000 0.00000
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
71 ## 0.00000 0.00000 -1.00000
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
72 ## 0.00000 1.00000 0.00000
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
73 ##
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
74 ## >> v = T*u
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
75 ## v =
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
76 ## 0.00000
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
77 ## 0.00000
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
78 ## 1.00000
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
79 ## @end group
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
80 ## @end example
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
81 ##
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
82 ## @seealso{roty, rotz}
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
83 ## @end deftypefn
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
84
28920
601b6c7728ed maint: match names in documentation to input parameters in function.
Rik <rik@octave.org>
parents: 28891
diff changeset
85 function T = rotx (angle)
27274
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
86
28920
601b6c7728ed maint: match names in documentation to input parameters in function.
Rik <rik@octave.org>
parents: 28891
diff changeset
87 if (nargin < 1 || ! isscalar (angle))
27274
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
88 print_usage ();
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
89 endif
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
90
28920
601b6c7728ed maint: match names in documentation to input parameters in function.
Rik <rik@octave.org>
parents: 28891
diff changeset
91 angle *= pi / 180;
27274
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
92
28920
601b6c7728ed maint: match names in documentation to input parameters in function.
Rik <rik@octave.org>
parents: 28891
diff changeset
93 s = sin (angle);
601b6c7728ed maint: match names in documentation to input parameters in function.
Rik <rik@octave.org>
parents: 28891
diff changeset
94 c = cos (angle);
27274
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
95
28920
601b6c7728ed maint: match names in documentation to input parameters in function.
Rik <rik@octave.org>
parents: 28891
diff changeset
96 T = [1 0 0; 0 c -s; 0 s c];
27274
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
97
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
98 endfunction
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
99
28886
d8318c12d903 test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
Rik <rik@octave.org>
parents: 27985
diff changeset
100
27274
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
101 ## Function output tests
28886
d8318c12d903 test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
Rik <rik@octave.org>
parents: 27985
diff changeset
102 %!assert (rotx (0), [1 0 0; 0 1 0; 0 0 1])
d8318c12d903 test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
Rik <rik@octave.org>
parents: 27985
diff changeset
103 %!assert (rotx (45), [1, 0, 0; [0; 0],[(sqrt(2)/2).*[1 -1; 1 1]]], 1e-12)
d8318c12d903 test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
Rik <rik@octave.org>
parents: 27985
diff changeset
104 %!assert (rotx (90), [1 0 0; 0 0 -1; 0 1 0], 1e-12)
d8318c12d903 test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
Rik <rik@octave.org>
parents: 27985
diff changeset
105 %!assert (rotx (180), [1 0 0; 0 -1 0; 0 0 -1], 1e-12)
27274
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
106
f49226d21c26 Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
diff changeset
107 ## Test input validation
28886
d8318c12d903 test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
Rik <rik@octave.org>
parents: 27985
diff changeset
108 %!error <Invalid call> rotx ()
d8318c12d903 test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
Rik <rik@octave.org>
parents: 27985
diff changeset
109 %!error <Invalid call> rotx ([1 2 3])