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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 theta = angle3Points(varargin)
%ANGLE3POINTS Compute oriented angle made by 3 points.
%
% ALPHA = angle3Points(P1, P2, P3);
% Computes the angle between the points P1, P2 and P3.
% Pi are either [1*2] arrays, or [N*2] arrays, in this case ALPHA is a
% [N*1] array. The angle computed is the directed angle between line
% (P2P1) and line (P2P3).
% Result is always given in radians, between 0 and 2*pi.
%
% See also
% points2d, angles2d, angle2points
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2004-02-23
% Copyright 2004-2023 INRA - Cepia Software Platform
if length(varargin)==3
p1 = varargin{1};
p2 = varargin{2};
p3 = varargin{3};
elseif length(varargin)==1
var = varargin{1};
p1 = var(1,:);
p2 = var(2,:);
p3 = var(3,:);
end
% angle line (P2 P1)
theta = lineAngle(createLine(p2, p1), createLine(p2, p3));
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