/usr/share/octave/packages/msh-1.0.10/msh2m_join_structured_mesh.m is in octave-msh 1.0.10-5.
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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}]} = @
## msh2m_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 edge identified by @var{s1} and
## @var{s2}.
##
## @strong{WARNING}: the two meshes must share the same vertexes on the
## common edge.
##
## @seealso{msh2m_structured_mesh, msh2m_gmsh, msh2m_submesh,
## msh3m_join_structured_mesh}
## @end deftypefn
function [mesh] = msh2m_join_structured_mesh(mesh1,mesh2,s1,s2)
## Check input
if nargin != 4 # Number of input parameters
error("msh2m_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("msh2m_join_structured_mesh: invalid mesh structure passed as input.");
elseif !(isvector(s1) && isvector(s2))
error("msh2m_join_structured_mesh: shared geometrical sides are not vectors.");
elseif (length(s1) != length(s2))
error("msh2m_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(6:7,:),I] = sort(mesh1.e(6:7,:));
for ic=1:size(mesh1.e,2)
mesh1.e(1:2,ic) = mesh1.e(I(:,ic),ic);
endfor
## FIXME: here a check could be added to see whether
## the coordinate points of the two meshes coincide on the
## side edges
intnodes1=[];
intnodes2=[];
## FIXME: Can the following cycle be replaced by
## msh2m_nodes_on_sides?
j1=[];j2=[];
for is=1:length(s1)
side1 = s1(is);
side2 = s2(is);
[i,j] = find(mesh1.e(5,:)==side1);
j1=[j1 j];
[i,j] = find(mesh2.e(5,:)==side2);
oldregion(side1) = max(max(mesh2.e(6:7,j)));
j2=[j2 j];
endfor
intnodes1=[mesh1.e(1,j1),mesh1.e(2,j1)];
intnodes2=[mesh2.e(1,j2),mesh2.e(2,j2)];
intnodes1 = unique(intnodes1);
[tmp,I] = sort(mesh1.p(1,intnodes1));
intnodes1 = intnodes1(I);
[tmp,I] = sort(mesh1.p(2,intnodes1));
intnodes1 = intnodes1(I);
intnodes2 = unique(intnodes2);
[tmp,I] = sort(mesh2.p(1,intnodes2));
intnodes2 = intnodes2(I);
[tmp,I] = sort(mesh2.p(2,intnodes2));
intnodes2 = intnodes2(I);
## Delete redundant edges
mesh2.e(:,j2) = [];
## Change edge numbers
indici=[];
consecutivi=[];
indici = unique(mesh2.e(5,:));
consecutivi (indici) = [1:length(indici)]+max(mesh1.e(5,:));
mesh2.e(5,:)=consecutivi(mesh2.e(5,:));
## Change node indices in connectivity matrix and edge list
indici=[]; consecutivi=[];
indici = 1:size(mesh2.p,2);
offint = setdiff(indici,intnodes2);
consecutivi (offint) = [1:length(offint)]+size(mesh1.p,2);
consecutivi (intnodes2) = intnodes1;
mesh2.e(1:2,:)=consecutivi(mesh2.e(1:2,:));
mesh2.t(1:3,:)=consecutivi(mesh2.t(1:3,:));
## Delete redundant points
mesh2.p(:,intnodes2) = [];
## Set region numbers
regions = unique(mesh1.t(4,:)); # Mesh 1
newregions(regions) = 1:length(regions);
mesh1.t(4,:) = newregions(mesh1.t(4,:));
regions = unique(mesh2.t(4,:)); # Mesh 2
newregions(regions) = [1:length(regions)]+max(mesh1.t(4,:));
mesh2.t(4,:) = newregions(mesh2.t(4,:));
## Set adjacent region numbers in edge structure 2
[i,j] = find(mesh2.e(6:7,:));
i = i+5;
mesh2.e(i,j) = newregions(mesh2.e(i,j));
## Set adjacent region numbers in edge structure 1
mesh1.e(6,j1) = newregions(oldregion(mesh1.e(5,j1)));
## Make the new p structure
mesh.p = [mesh1.p mesh2.p];
mesh.e = [mesh1.e mesh2.e];
mesh.t = [mesh1.t mesh2.t];
endfunction
%!test
%! [mesh1] = msh2m_structured_mesh(0:.5:1, 0:.5:1, 1, 1:4, 'left');
%! [mesh2] = msh2m_structured_mesh(1:.5:2, 0:.5:1, 1, 1:4, 'left');
%! [mesh] = msh2m_join_structured_mesh(mesh1,mesh2,2,4);
%! p = [0.00000 0.00000 0.00000 0.50000 0.50000 0.50000 1.00000 1.00000 1.00000 1.50000 1.50000 1.50000 2.00000 2.00000 2.00000
%! 0.00000 0.50000 1.00000 0.00000 0.50000 1.00000 0.00000 0.50000 1.00000 0.00000 0.50000 1.00000 0.00000 0.50000 1.00000];
%! e = [1 4 7 8 3 6 1 2 7 10 13 14 9 12
%! 4 7 8 9 6 9 2 3 10 13 14 15 12 15
%! 0 0 0 0 0 0 0 0 0 0 0 0 0 0
%! 0 0 0 0 0 0 0 0 0 0 0 0 0 0
%! 1 1 2 2 3 3 4 4 5 5 6 6 7 7
%! 0 0 2 2 0 0 0 0 0 0 0 0 0 0
%! 1 1 1 1 1 1 1 1 2 2 2 2 2 2];
%! t = [1 2 4 5 2 3 5 6 7 8 10 11 8 9 11 12
%! 4 5 7 8 4 5 7 8 10 11 13 14 10 11 13 14
%! 2 3 5 6 5 6 8 9 8 9 11 12 11 12 14 15
%! 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2];
%! toll = 1e-4;
%! assert(mesh.p,p,toll);
%! assert(mesh.e,e,toll);
%! assert(mesh.t,t,toll);
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