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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 = drawSphericalEdge(varargin)
%DRAWSPHERICALEDGE Draw an edge on the surface of a sphere.
%
% drawSphericalEdge(SPHERE, EDGE)
% EDGE is given as a couple of 3D coordinates corresponding to edge
% extremities. The shortest spherical edge joining the two extremities is
% drawn on the current axes.
%
% drawSphericalEdge(AX, ...)
% Specifies the handle of the axis to use for drawing.
%
%
% Example
% figure; hold on; axis equal; drawSphere([0 0 0 1]); view(3);
% p1 = [0 -1 0]; p2 = [0 0 1];
% drawSphericalEdge([0 0 0 1], [p1 p2], 'LineWidth', 2)
%
% See also
% drawSphericalPolygon, drawSphere, drawCircleArc3d
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2012-02-09, using Matlab 7.9.0.529 (R2009b)
% Copyright 2012-2023 INRA - Cepia Software Platform
% extract handle of axis to draw on
[hAx, varargin] = parseAxisHandle(varargin{:});
sphere = varargin{1};
edge = varargin{2};
varargin(1:2) = [];
% extract data of the sphere
origin = sphere(:, 1:3);
% allocate array of handles
nEdges = size(edge, 1);
he = gobjects(1, nEdges);
% save hold state
holdState = ishold(hAx);
hold(hAx, 'on');
% iterate over edges
for iEdge = 1:nEdges
% extremities of current edge
point1 = edge(iEdge, 1:3);
point2 = edge(iEdge, 4:6);
% compute plane containing current edge
plane = createPlane(origin, point1, point2);
% intersection of the plane with unit sphere
circle = intersectPlaneSphere(plane, sphere);
% find the position (in degrees) of the 2 vertices on the circle
angle1 = circle3dPosition(point1, circle);
angle2 = circle3dPosition(point2, circle);
% ensure angles are in right direction
if mod(angle2 - angle1 + 360, 360) > 180
tmp = angle1;
angle1 = angle2;
angle2 = tmp;
end
% compute angle extent of the circle arc
angleExtent = mod(angle2 - angle1 + 360, 360);
% create circle arc
arc = [circle angle1 angleExtent];
% draw the arc
he(iEdge) = drawCircleArc3d(hAx, arc, varargin{:});
end
% restore hold state
if ~holdState
hold(hAx, 'off');
end
if nargout > 0
varargout = {he};
end
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