/usr/share/octave/packages/geometry-1.7.0/geom3d/drawCircleArc3d.m is in octave-geometry 1.7.0-1build1.
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## 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
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##
## 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
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## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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## -*- texinfo -*-
## @deftypefn {Function File} drawCircleArc3d([@var{xc} @var{yc} @var{zc} @var{r} @var{theta} @var{phi} @var{psi} @var{start} @var{extent}])
## Draw a 3D circle arc
##
## [@var{xc} @var{yc} @var{zc}] : coordinate of arc center
## @var{r} : arc radius
## [@var{theta} @var{phi}] : orientation of arc normal, in degrees (theta: 0->180).
## @var{psi} : roll of arc (rotation of circle origin)
## @var{start} : starting angle of arc, from arc origin, in degrees
## @var{extent} : extent of circle arc, in degrees (can be negative)
##
## Drawing options can be specified, as for the plot command.
##
## @seealso{angles3, circles3d, drawCircle3d, drawCircleArc}
## @end deftypefn
function varargout = drawCircleArc3d(arc, varargin)
if iscell(arc)
h = [];
for i = 1:length(arc)
h = [h drawCircleArc3d(arc{i}, varargin{:})]; ##ok<AGROW>
end
if nargout > 0
varargout = {h};
end
return;
end
if size(arc, 1) > 1
h = [];
for i = 1:size(arc, 1)
h = [h drawCircleArc3d(arc(i,:), varargin{:})]; ##ok<AGROW>
end
if nargout > 0
varargout = {h};
end
return;
end
# get center and radius
xc = arc(:,1);
yc = arc(:,2);
zc = arc(:,3);
r = arc(:,4);
# get angle of normal
theta = arc(:,5);
phi = arc(:,6);
psi = arc(:,7);
# get starting angle and angle extent of arc
start = arc(:,8);
extent = arc(:,9);
# positions on circle arc
N = 60;
t = linspace(start, start+extent, N+1) * pi / 180;
# compute coordinate of points
x = r*cos(t)';
y = r*sin(t)';
z = zeros(length(t), 1);
curve = [x y z];
# compute transformation from local basis to world basis
trans = localToGlobal3d(xc, yc, zc, theta, phi, psi);
# transform circle arc
curve = transformPoint3d(curve, trans);
# draw the curve with specified options
h = drawPolyline3d(curve, varargin{:});
if nargout > 0
varargout = {h};
end
endfunction
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