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## Copyright (C) 2024 David Legland
## 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.
##
## The views and conclusions contained in the software and documentation are
## those of the authors and should not be interpreted as representing official
## policies, either expressed or implied, of the copyright holders.
function varargout = drawEllipseArc(varargin)
%DRAWELLIPSEARC 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...
%
% drawEllipseArc(..., NAME, VALUE)
% Specifies one or more parameters name-value pairs, as in the plot
% function.
%
% drawEllipseArc(AX, ...)
% Sepcifies the handle of theaxis to draw on.
%
% H = drawEllipseArc(...)
% Returns handle(s) of the created graphic objects.
%
% 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)
%
% See also
% ellipses2d, drawEllipse, drawEllipseAxes, drawCircleArc
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2003-12-12
% Copyright 2003-2023 INRA - TPV URPOI - BIA IMASTE
%% Extract input arguments
% extract handle of axis to draw on
if isAxisHandle(varargin{1})
ax = varargin{1};
varargin(1) = [];
else
ax = gca;
end
% 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('drawEllipseArc: please specify center x, center y and radii a and b');
end
%% Initialisation
% allocate memory for handles
h = zeros(size(x0));
% save hold state
holdState = ishold(ax);
hold(ax, 'on');
%% Drawing
for i = 1:length(x0)
% start and end angles
t1 = deg2rad(start(i));
t2 = t1 + deg2rad(extent(i));
% 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(ax, xt, yt, styles{:});
end
%% Post-processing
% restore hold state
if ~holdState
hold(ax, 'off');
end
% process output argument
if nargout > 0
varargout = {h};
end
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