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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 = drawCircleArc3d(varargin)
%DRAWCIRCLEARC3D Draw a 3D circle arc.
%
% drawCircleArc3d([XC YC ZC R THETA PHI PSI START EXTENT])
% [XC YC ZC] : coordinate of arc center
% R : arc radius
% [THETA PHI] : orientation of arc normal, in degrees (theta: 0->180).
% PSI : roll of arc (rotation of circle origin)
% START : starting angle of arc, from arc origin, in degrees
% EXTENT : extent of circle arc, in degrees (can be negative)
%
% Drawing options can be specified, as for the plot command.
%
% See also
% angles3d, circles3d, drawCircle3d, drawCircleArc
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2005-02-21
% Copyright 2005-2023 INRA - TPV URPOI - BIA IMASTE
% extract handle of axis to draw on
[hAx, varargin] = parseAxisHandle(varargin{:});
arc = varargin{1};
varargin(1) = [];
if iscell(arc)
% save hold state
holdState = ishold(hAx);
hold(hAx, 'on');
h = [];
for i = 1:length(arc)
h = [h drawCircleArc3d(hAx, arc{i}, varargin{:})]; %#ok<AGROW>
end
% restore hold state
if ~holdState
hold(hAx, 'off');
end
if nargout > 0
varargout = {h};
end
return;
end
if size(arc, 1) > 1
% save hold state
holdState = ishold(hAx);
hold(hAx, 'on');
h = [];
for i = 1:size(arc, 1)
h = [h drawCircleArc3d(hAx, arc(i,:), varargin{:})]; %#ok<AGROW>
end
% restore hold state
if ~holdState
hold(hAx, 'off');
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(hAx, curve, varargin{:});
if nargout > 0
varargout = {h};
end
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