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## 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{h} = } drawEllipseArc (@var{arc})
## Draw an ellipse arc on the current axis.
##
## drawEllipseArc(ARC)
## draw ellipse arc specified by ARC. ARC has the format:
## ARC = [XC YC A B THETA T1 T2]
## or:
## ARC = [XC YC A B T1 T2] (isothetic ellipse)
## with center (XC, YC), main axis of half-length A, second axis of
## half-length B, and ellipse arc running from t1 to t2 (both in degrees,
## in Counter-Clockwise orientation).
##
## Parameters can also be arrays. In this case, all arrays are suposed to
## have the same size...
##
## @example
## # draw an ellipse arc: center = [10 20], radii = 50 and 30, theta = 45
## arc = [10 20 50 30 45 -90 270];
## figure;
## axis([-50 100 -50 100]); axis equal;
## hold on
## drawEllipseArc(arc, 'color', 'r')
##
## # draw another ellipse arc, between angles -60 and 70
## arc = [10 20 50 30 45 -60 (60+70)];
## figure;
## axis([-50 100 -50 100]); axis equal;
## hold on
## drawEllipseArc(arc, 'LineWidth', 2);
## ray1 = createRay([10 20], deg2rad(-60+45));
## drawRay(ray1)
## ray2 = createRay([10 20], deg2rad(70+45));
## drawRay(ray2)
## @end example
##
## @seealso{ellipses2d, drawEllipse, drawCircleArc}
## @end deftypefn
function varargout = drawEllipseArc(varargin)
## Extract input arguments
# extract dawing style strings
styles = {};
for i = 1:length(varargin)
if ischar(varargin{i})
styles = varargin(i:end);
varargin(i:end) = [];
break;
end
end
if length(varargin)==1
ellipse = varargin{1};
x0 = ellipse(1);
y0 = ellipse(2);
a = ellipse(3);
b = ellipse(4);
if size(ellipse, 2)>6
theta = ellipse(5);
start = ellipse(6);
extent = ellipse(7);
else
theta = zeros(size(x0));
start = ellipse(5);
extent = ellipse(6);
end
elseif length(varargin)>=6
x0 = varargin{1};
y0 = varargin{2};
a = varargin{3};
b = varargin{4};
if length(varargin)>6
theta = varargin{5};
start = varargin{6};
extent = varargin{7};
else
theta = zeros(size(x0));
start = varargin{5};
extent = varargin{6};
end
else
error('drawellipse: please specify center x, center y and radii a and b');
end
## Drawing
# allocate memory for handles
h = zeros(size(x0));
for i = 1:length(x0)
# start and end angles
t1 = deg2rad(start);
t2 = t1 + deg2rad(extent);
# vertices of ellipse
t = linspace(t1, t2, 60);
# convert angles to ellipse parametrisation
sup = cos(t) > 0;
t(sup) = atan(a(i) / b(i) * tan(t(sup)));
t(~sup) = atan2(a(i) / b(i) * tan(2*pi - t(~sup)), -1);
t = mod(t, 2*pi);
# precompute cos and sin of theta (given in degrees)
cot = cosd(theta(i));
sit = sind(theta(i));
# compute position of points
xt = x0(i) + a(i)*cos(t)*cot - b(i)*sin(t)*sit;
yt = y0(i) + a(i)*cos(t)*sit + b(i)*sin(t)*cot;
h(i) = plot(xt, yt, styles{:});
end
## Process output arguments
if nargout > 0
varargout = {h};
end
endfunction
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