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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 pos = edgePosition(point, edge, varargin)
%EDGEPOSITION Return position of a point on an edge.
%
% POS = edgePosition(POINT, EDGE);
% Computes position of point POINT on the edge EDGE, relative to the
% position of edge vertices.
% EDGE has the form [x1 y1 x2 y2],
% POINT has the form [x y], and is assumed to belong to edge supporting
% line. The result POS has the following meaning:
% POS < 0: POINT is located before the first vertex
% POS = 0: POINT is located on the first vertex
% 0 < POS < 1: POINT is located between the 2 vertices (on the edge)
% POS = 1: POINT is located on the second vertex
% POS > 1: POINT is located after the second vertex
%
% POS = edgePosition(POINT, EDGES);
% If EDGES is an array of NL edges, return NE positions, corresponding to
% each edge.
%
% POS = edgePosition(POINTS, EDGE);
% If POINTS is an array of NP points, return NP positions, corresponding
% to each point.
%
% POS = edgePosition(POINTS, EDGES);
% If POINTS is an array of NP points and EDGES is an array of NE edges,
% return an array of [NP NE] position, corresponding to each couple
% point-edge.
%
% POS = edgePosition(POINTS, EDGES, 'diag');
% When POINTS and EDGES are two arrays with same number of rows, returns
% single column vector corresponding to each pair of point-edge.
%
% See also
% edges2d, createEdge, isPointOnEdge, edgeToLine
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2004-05-25
% Copyright 2004-2023 INRA - Cepia Software Platform
% parse input options
diag = false;
if ~isempty(varargin) && strcmp(varargin{1}, 'diag')
diag = true;
end
% number of points and of edges
nEdges = size(edge, 1);
nPoints = size(point, 1);
if nPoints == nEdges && diag
% reshape into N-by-1 arrays
dxe = (edge(:,3) - edge(:,1));
dye = (edge(:,4) - edge(:,2));
dxp = point(:,1) - edge(:,1);
dyp = point(:,2) - edge(:,2);
else
% reshape arrays to result in NP-by-NE arrays
dxe = (edge(:,3) - edge(:,1))';
dye = (edge(:,4) - edge(:,2))';
dxp = bsxfun(@minus, point(:,1), edge(:,1)');
dyp = bsxfun(@minus, point(:,2), edge(:,2)');
end
% compute position
pos = (dxp .* dxe + dyp .* dye) ./ (dxe .* dxe + dye .* dye);
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