File: drawSphericalPolygon.m

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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 = drawSphericalPolygon(varargin)
%DRAWSPHERICALPOLYGON Draw a spherical polygon.
%
%   output = drawSphericalPolygon(input)
%
%   Example
%     % Draw a non convex spherical polygon on the surface of a sphere
%     sphere = [0 0 0 1];
%     poly = [0 -1 0;0 0 1; [-1 0 1]/sqrt(2); [-1 -1 1]/sqrt(3); [-1 -1 0]/sqrt(2)];
%     figure; hold on; axis equal; drawSphere([0 0 0 1]); view(3);
%     drawSphericalPolygon(sphere, poly, 'LineWidth', 2, 'color', 'b')
%
%   See also 
%     drawSphere, drawSphericalTriangle, drawSphericalEdge
%

% ------
% 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};
poly = varargin{2};
varargin(1:2) = [];

nv = size(poly, 1);

h = zeros(nv, 1);

% save hold state
holdState = ishold(hAx);
hold(hAx, 'on');

for i = 1:nv
    v1 = poly(i, :);
    v2 = poly(mod(i, nv) + 1, :);

    h(i) = drawSphericalEdge(hAx, sphere, [v1 v2], varargin{:});
end

% restore hold state
if ~holdState
    hold(hAx, 'off');
end

if nargout > 0
    varargout = {h};
end