/usr/share/octave/packages/geometry-1.7.0/geom3d/circle3dPoint.m is in octave-geometry 1.7.0-1build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 | ## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{point} =} circle3dPoint (@var{circle},@var{pos})
## Coordinates of a point on a 3D circle from its position
##
##
## Example
## @example
## circle = [0 0 0 1 45 45 0];
## # Draw some points on a 3D circle
## figure; hold on;
## # origin point
## pos1 = 0;
## drawPoint3d(circle3dPoint(circle, pos1), 'ro')
## # few points regularly spaced
## for i = 10:10:40
## drawPoint3d(circle3dPoint(circle, i))
## end
## # Draw point opposite to origin
## drawPoint3d(circle3dPoint(circle, 180), 'k*')
## @end example
##
## @seealso{circles3d, circle3dPosition}
## @end deftypefn
function point = circle3dPoint(circle, pos)
# extract circle coordinates
xc = circle(1);
yc = circle(2);
zc = circle(3);
r = circle(4);
theta = circle(5);
phi = circle(6);
psi = circle(7);
# convert position to angle
t = pos * pi / 180;
# compute position on base circle
x = r * cos(t);
y = r * sin(t);
z = 0;
pt0 = [x y z];
# compute transformation from local basis to world basis
trans = localToGlobal3d (xc, yc, zc, theta, phi, psi);
# compute points of transformed circle
point = transformPoint3d (pt0, trans);
endfunction
%!demo
%! # Draw some points on a 3D circle
%! circle = [0 0 0 1 45 45 0];
%! figure;
%!
%! drawCircle3d(circle);
%! hold on;
%!
%! # origin point
%! pos1 = 0;
%! drawPoint3d(circle3dPoint(circle, pos1), 'go')
%! # few points regularly spaced
%! for i = 10:10:90
%! drawPoint3d(circle3dPoint(circle, i))
%! end
%! # Draw point opposite to origin
%! drawPoint3d(circle3dPoint(circle, 180), 'k*')
%! axis square equal;
%! view(70,30)
|