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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 = midPoint(varargin)
%MIDPOINT Middle point of two points or of an edge.
%
% MID = midPoint(P1, P2)
% Compute the middle point of the two points P1 and P2.
%
% MID = midPoint(EDGE)
% Compute the middle point of the edge given by EDGE.
% EDGE has the format: [X1 Y1 X2 Y2], and MID has the format [XMID YMID],
% with XMID = (X1+X2)/2, and YMID = (Y1+Y2)/2.
%
% [MIDX MIDY] = midPoint(...)
% Return the result as two separate variables or arrays.
%
% Works also when EDGE is a N-by-4 array, in this case the result is a
% N-by-2 array containing the midpoint of each edge.
%
%
% Example
% P1 = [10 20];
% P2 = [30 40];
% midPoint([P1 P2])
% ans =
% 20 30
%
% See also
% edges2d, points2d
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2010-08-06, using Matlab 7.9.0.529 (R2009b)
% Copyright 2010-2023 INRA - Cepia Software Platform
if nargin == 1
% input is an edge
edge = varargin{1};
mid = [mean(edge(:, [1 3]), 2) mean(edge(:, [2 4]), 2)];
elseif nargin == 2
% input are two points
p1 = varargin{1};
p2 = varargin{2};
% assert inputs are equal
n1 = size(p1, 1);
n2 = size(p2, 1);
if n1~=n2 && min(n1, n2)>1
error('geom2d:midPoint', ...
'Inputs must have same size, or one must have length 1');
end
% compute middle point
mid = bsxfun(@plus, p1, p2) / 2;
end
% process output arguments
if nargout<=1
varargout{1} = mid;
else
varargout = {mid(:,1), mid(:,2)};
end
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