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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 = angleSort(pts, varargin)
%ANGLESORT Sort points in the plane according to their angle to origin.
%
%
% PTS2 = angleSort(PTS);
% Computes angle of points with origin, and sort points with increasing
% angles in Counter-Clockwise direction.
%
% PTS2 = angleSort(PTS, PTS0);
% Computes angles between each point of PTS and PT0, which can be
% different from origin.
%
% PTS2 = angleSort(..., THETA0);
% Specifies the starting angle for sorting.
%
% [PTS2, I] = angleSort(...);
% Also returns in I the indices of PTS, such that PTS2 = PTS(I, :);
%
% [PTS2, I, ANGLES] = angleSort(...);
% Also returns the ANGLES in corresponding order to PTS2.
%
% See also
% points2d, angles2d, angle2points, normalizeAngle
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2005-11-24
% Copyright 2005-2023 INRA - Cepia Software Platform
% default values
pt0 = [0 0];
theta0 = 0;
if length(varargin)==1
var = varargin{1};
if size(var, 2)==1
% specify angle
theta0 = var;
else
pt0 = var;
end
elseif length(varargin)==2
pt0 = varargin{1};
theta0 = varargin{2};
end
n = size(pts, 1);
pts2 = pts - repmat(pt0, [n 1]);
angle = lineAngle([zeros(n, 2) pts2]);
angle = mod(angle - theta0 + 2*pi, 2*pi);
[angles, I] = sort(angle);
% format output
switch nargout
case 1
varargout{1} = pts(I, :);
case 2
varargout{1} = pts(I, :);
varargout{2} = I;
case 3
varargout{1} = pts(I, :);
varargout{2} = I;
varargout{3} = angles;
end
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