/usr/share/octave/packages/msh-1.0.10/msh3m_join_structured_mesh.m is in octave-msh 1.0.10-1.
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##
## This file is part of:
## MSH - Meshing Software Package for Octave
##
## MSH is free software; you can redistribute it and/or modify
## it under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2 of the License, or
## (at your option) any later version.
##
## MSH is distributed in the hope that it will be useful,
## but WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
## GNU General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with MSH; If not, see <http://www.gnu.org/licenses/>.
##
## author: Carlo de Falco <cdf _AT_ users.sourceforge.net>
## author: Massimiliano Culpo <culpo _AT_ users.sourceforge.net>
## -*- texinfo -*-
## @deftypefn {Function File} {[@var{mesh}]} = @
## msh3m_join_structured_mesh(@var{mesh1},@var{mesh2},@var{s1},@var{s2})
##
## Join the two structured meshes @var{mesh1} and @var{mesh2} into one
## single mesh.
##
## The two meshes must share a common face identified by @var{s1} and
## @var{s2}.
##
## @strong{WARNING}: the two meshes must share the same vertexes on the
## common face.
##
## @seealso{msh3m_structured_mesh, msh3m_gmsh, msh3m_submesh,
## msh2m_join_structured_mesh}
## @end deftypefn
function mesh = msh3m_join_structured_mesh(mesh1,mesh2,s1,s2)
## Check input
if nargin != 4 # Number of input parameters
error("msh3m_join_structured_mesh: wrong number of input parameters.");
elseif !(isstruct(mesh1) && isfield(mesh1,"p") &&
isfield (mesh1,"e") && isfield(mesh1,"t") &&
isstruct(mesh2) && isfield(mesh2,"p") &&
isfield (mesh2,"e") && isfield(mesh2,"t") )
error("msh3m_join_structured_mesh: invalid mesh structure passed as input.");
elseif !(isvector(s1) && isvector(s2))
error("msh3m_join_structured_mesh: shared geometrical sides are not vectors.");
elseif (length(s1) != length(s2))
error("msh3m_join_structured_mesh: vectors containing shared geometrical sides are not of the same length.");
endif
## Join meshes
## Make sure that the outside world is always on the same side of the
## boundary of mesh1
[mesh1.e(8:9,:),I] = sort(mesh1.e(8:9,:));
## IF THE REGIONS ARE INVERTED THE VERTEX ORDER SHOULD ALSO BE
## INVERTED!!
## FIXME: here a check could be added to see whether
## the coordinate points of the two meshes coincide on the
## side edges
## Get interface nodes
intfcnodes1 = msh3m_nodes_on_faces(mesh1,s1)';
intfcnodes2 = msh3m_nodes_on_faces(mesh2,s2)';
## Sort interface nodes by position
[tmp,I] = sort(mesh1.p(1,intfcnodes1));
intfcnodes1 = intfcnodes1(I);
[tmp,I] = sort(mesh1.p(2,intfcnodes1));
intfcnodes1 = intfcnodes1(I);
[tmp,I] = sort(mesh1.p(3,intfcnodes1));
intfcnodes1 = intfcnodes1(I);
[tmp,I] = sort(mesh2.p(1,intfcnodes2));
intfcnodes2 = intfcnodes2(I);
[tmp,I] = sort(mesh2.p(2,intfcnodes2));
intfcnodes2 = intfcnodes2(I);
[tmp,I] = sort(mesh2.p(3,intfcnodes2));
intfcnodes2 = intfcnodes2(I);
## Delete redundant boundary faces but first remeber what region they
## were connected to
for is = 1:length(s2)
ii = find( mesh2.e(10,:)==s2(is) );
adreg(is,:) = unique(mesh2.e(9,ii));
endfor
for is = 1:length(s2)
mesh2.e(:,find( mesh2.e(10,:)==s2(is) )) = [];
endfor
## Change face numbers
idx = [];
consecutives = [];
idx = unique(mesh2.e(10,:));
consecutives (idx) = [1:length(idx)] + max(mesh1.e(10,:));
mesh2.e(10,:) = consecutives(mesh2.e(10,:));
## Change node indices in connectivity matrix and edge list
idx = [];
consecutives = [];
idx = 1:size(mesh2.p,2);
offint = setdiff(idx,intfcnodes2);
consecutives (offint) = [1:length(offint)]+size(mesh1.p,2);
consecutives (intfcnodes2) = intfcnodes1;
mesh2.e(1:3,:) = consecutives(mesh2.e(1:3,:));
mesh2.t(1:4,:) = consecutives(mesh2.t(1:4,:));
## Delete redundant points
mesh2.p(:,intfcnodes2) = [];
## Set region numbers
regions = unique(mesh1.t(5,:));# Mesh 1
newregions(regions) = 1:length(regions);
mesh1.t(5,:) = newregions(mesh1.t(5,:));
regions = unique(mesh2.t(5,:));# Mesh 2
newregions(regions) = [1:length(regions)]+max(mesh1.t(5,:));
mesh2.t(5,:) = newregions(mesh2.t(5,:));
## Set adjacent region numbers in face structure 2
[i,j] = find(mesh2.e(8:9,:));
i += 7;
mesh2.e(i,j) = newregions(mesh2.e(i,j));
## Set adjacent region numbers in edge structure 1
for is = 1:length(s1)
ii = find( mesh1.e(10,:)==s1(is) );
mesh1.e(8,ii) = newregions(adreg(is,:));
endfor
## Build new mesh structure
mesh.p = [mesh1.p mesh2.p];
mesh.e = [mesh1.e mesh2.e];
mesh.t = [mesh1.t mesh2.t];
endfunction
%!shared mesh1,mesh2,jmesh
% x = y = z = linspace(0,1,2);
% x2 = linspace(1,2,2);
% [mesh1] = msh3m_structured_mesh(x,y,z,1,1:6);
% [mesh2] = msh3m_structured_mesh(x2,y,z,3,1:6);
% [jmesh] = msh3m_join_structured_mesh(mesh1,mesh2,2,1);
%!test
% assert(columns(jmesh.p),12)
%!test
% tmp = sort(unique(jmesh.e(10,:)));
% assert(tmp,1:11)
%!test
% assert(columns(jmesh.t),columns(mesh1.t)+columns(mesh2.t))
%!test
% assert(unique(jmesh.e(8:9,:)),0:2)
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