Mercurial > octave
annotate scripts/geometry/roty.m @ 33632:fed0dc6fd44c default tip
remove unused variable from libgui/module.mk
* libgui/module.mk: remove empty variable OCTAVE_GUI_EDITOR_MOC
author | Torsten Lilge <ttl-octave@mailbox.org> |
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date | Mon, 27 May 2024 19:42:05 +0200 |
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1 ######################################################################## |
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2 ## |
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3 ## Copyright (C) 2019-2024 The Octave Project Developers |
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4 ## |
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5 ## See the file COPYRIGHT.md in the top-level directory of this |
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6 ## distribution or <https://octave.org/copyright/>. |
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7 ## |
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8 ## This file is part of Octave. |
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9 ## |
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10 ## Octave is free software: you can redistribute it and/or modify it |
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11 ## under the terms of the GNU General Public License as published by |
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12 ## the Free Software Foundation, either version 3 of the License, or |
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13 ## (at your option) any later version. |
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14 ## |
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15 ## Octave is distributed in the hope that it will be useful, but |
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 ## GNU General Public License for more details. |
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19 ## |
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20 ## You should have received a copy of the GNU General Public License |
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21 ## along with Octave; see the file COPYING. If not, see |
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22 ## <https://www.gnu.org/licenses/>. |
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23 ## |
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24 ######################################################################## |
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25 |
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26 ## -*- texinfo -*- |
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27 ## @deftypefn {} {@var{T} =} roty (@var{angle}) |
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28 ## |
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29 ## @code{roty} returns the 3x3 transformation matrix corresponding to an active |
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30 ## rotation of a vector about the y-axis by the specified @var{angle}, given in |
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31 ## degrees, where a positive angle corresponds to a counterclockwise |
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32 ## rotation when viewing the z-x plane from the positive y side. |
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33 ## |
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34 ## The form of the transformation matrix is: |
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35 ## @tex |
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36 ## $$ |
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37 ## T = \left[\matrix{ \cos(angle) & 0 & \sin(angle) \cr |
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38 ## 0 & 1 & 0 \cr |
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39 ## -\sin(angle) & 0 & \cos(angle)}\right]. |
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40 ## $$ |
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41 ## @end tex |
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42 ## @ifnottex |
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43 ## |
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44 ## @example |
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45 ## @group |
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46 ## | cos(@var{angle}) 0 sin(@var{angle}) | |
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47 ## T = | 0 1 0 | |
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48 ## | -sin(@var{angle}) 0 cos(@var{angle}) | |
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49 ## @end group |
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50 ## @end example |
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51 ## @end ifnottex |
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52 ## |
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53 ## This rotation matrix is intended to be used as a left-multiplying matrix |
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54 ## when acting on a column vector, using the notation |
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55 ## @code{@var{v} = @var{T}*@var{u}}. |
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56 ## For example, a vector, @var{u}, pointing along the positive z-axis, rotated |
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57 ## 90-degrees about the y-axis, will result in a vector pointing along the |
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58 ## positive x-axis: |
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59 ## |
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60 ## @example |
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61 ## @group |
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62 ## >> u = [0 0 1]' |
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63 ## u = |
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64 ## 0 |
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65 ## 0 |
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66 ## 1 |
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67 ## |
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68 ## >> T = roty (90) |
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69 ## T = |
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70 ## 0.00000 0.00000 1.00000 |
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71 ## 0.00000 1.00000 0.00000 |
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72 ## -1.00000 0.00000 0.00000 |
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73 ## |
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74 ## >> v = T*u |
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75 ## v = |
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76 ## 1.00000 |
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77 ## 0.00000 |
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78 ## 0.00000 |
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79 ## @end group |
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80 ## @end example |
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81 ## |
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82 ## @seealso{rotx, rotz} |
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83 ## @end deftypefn |
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84 |
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85 function T = roty (angle) |
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86 |
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87 if (nargin < 1 || ! isscalar (angle)) |
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88 print_usage (); |
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89 endif |
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90 |
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91 angle *= pi / 180; |
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92 |
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93 s = sin (angle); |
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94 c = cos (angle); |
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95 |
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96 T = [c 0 s; 0 1 0; -s 0 c]; |
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97 |
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98 endfunction |
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99 |
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100 |
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101 ## Function output tests |
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102 %!assert (roty (0), [1 0 0; 0 1 0; 0 0 1]) |
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test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
Rik <rik@octave.org>
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27985
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103 %!assert (roty (45), [sqrt(2) 0 sqrt(2); 0 2 0; -sqrt(2) 0 sqrt(2)]./2, 1e-12) |
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test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
Rik <rik@octave.org>
parents:
27985
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104 %!assert (roty (90), [0 0 1; 0 1 0; -1 0 0], 1e-12) |
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test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
Rik <rik@octave.org>
parents:
27985
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105 %!assert (roty (180), [-1 0 0; 0 1 0; 0 0 -1], 1e-12) |
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Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
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106 |
f49226d21c26
Implement missing functions rotx, roty, and rotz (bug #50772, patch #9310)
Nicholas R. Jankowski <jankowskin@asme.org>
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107 ## Test input validation |
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Rik <rik@octave.org>
parents:
27985
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108 %!error <Invalid call> roty () |
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test: remove unnecessary BIST tests in m-files checking for excessive number of inputs.
Rik <rik@octave.org>
parents:
27985
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109 %!error <Invalid call> roty ([1 2 3]) |