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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 alpha = normalizeAngle(alpha, varargin)
%NORMALIZEANGLE Normalize an angle value within a 2*PI interval.
%
% ALPHA2 = normalizeAngle(ALPHA);
% ALPHA2 is the same as ALPHA modulo 2*PI and is positive.
%
% ALPHA2 = normalizeAngle(ALPHA, CENTER);
% Specifies the center of the angle interval.
% If CENTER==0, the interval is [-pi ; +pi]
% If CENTER==PI, the interval is [0 ; 2*pi] (default).
%
% Example:
% % normalization between 0 and 2*pi (default)
% normalizeAngle(5*pi)
% ans =
% 3.1416
%
% % normalization between -pi and +pi
% normalizeAngle(7*pi/2, 0)
% ans =
% -1.5708
%
% See also
% vectorAngle, lineAngle
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2008-03-10, using Matlab 7.4.0.287 (R2007a)
% Copyright 2008-2023 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas
center = pi;
if ~isempty(varargin)
center = varargin{1};
end
alpha = mod(alpha-center+pi, 2*pi) + center-pi;
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