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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 FE = meshFaceEdges(vertices, edges, faces)
%MESHFACEEDGES Computes edge indices of each face.
%
% FE = meshFaceEdges(V, E, F)
% Returns a 1-by-NF cell array containing for each face, the set of edge
% indices corresponding to adjacent edges.
%
% Example
% meshFaceEdges
%
% See also
% meshes3d, meshEdgeFaces
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2013-08-22, using Matlab 7.9.0.529 (R2009b)
% Copyright 2013-2023 INRA - Cepia Software Platform
nFaces = meshFaceNumber(vertices, faces);
FE = cell(nFaces, 1);
% impose ordering of edge indices
edges = sort(edges, 2);
for iFace = 1:nFaces
% extract vertex indices of current face
face = meshFace(faces, iFace);
nv = length(face);
% for each couple of adjacent vertices, find the index of the matching
% row in the edges array
fei = zeros(1, nv);
for iEdge = 1:nv
% compute index of each edge vertex
edge = sort([face(iEdge) face(mod(iEdge, nv) + 1)]);
v1 = edge(1);
v2 = edge(2);
% find the matching row
ind = find(edges(:,1) == v1 & edges(:,2) == v2);
fei(iEdge) = ind;
end
FE{iFace} = fei;
end
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