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mesh_pbc.cc
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			/**
			* @file mesh_pbc.cc
			*
			* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
			* @author David Simon Kammer <david.kammer@epfl.ch>
			*
			* @date creation: Wed Feb 09 2011
			* @date last modification: Fri Aug 01 2014
			*
			* @brief periodic boundary condition connectivity tweak
			*
			* @section LICENSE
			*
			* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
			* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
			*
			* Akantu is free software: you can redistribute it and/or modify it under the
			* terms of the GNU Lesser General Public License as published by the Free
			* Software Foundation, either version 3 of the License, or (at your option) any
			* later version.
			*
			* Akantu 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 Lesser General Public License for more
			* details.
			*
			* You should have received a copy of the GNU Lesser General Public License
			* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
			*
			*/

			/* -------------------------------------------------------------------------- */
			#include <map>
			/* -------------------------------------------------------------------------- */
			#include "mesh_utils.hh"
			#include "element_group.hh"
			/* -------------------------------------------------------------------------- */

			__BEGIN_AKANTU__

			/* -------------------------------------------------------------------------- */
			/// class that sorts a set of nodes of same coordinates in 'dir' direction
			class CoordinatesComparison {
			public:
			CoordinatesComparison (const UInt dimension,
			const UInt dirx, const UInt diry,
			Real normalization,
			Real tolerance,
			Real * coords):
			dim(dimension),dir_x(dirx),dir_y(diry),normalization(normalization),
			tolerance(tolerance),coordinates(coords){}
			// answers the question whether n2 is larger or equal to n1
			bool operator() (UInt n1, UInt n2){
			Real p1_x = coordinates[dim*n1+dir_x];
			Real p2_x = coordinates[dim*n2+dir_x];
			Real diff_x = p1_x - p2_x;
			if (dim == 2 \|\| std::abs(diff_x)/normalization > tolerance)
			return diff_x > 0.0 ? false : true;
			else if (dim > 2){
			Real p1_y = coordinates[dim*n1+dir_y];
			Real p2_y = coordinates[dim*n2+dir_y];
			Real diff_y = p1_y - p2_y;
			return diff_y > 0 ? false : true;
			}
			return true;
			}
			private:
			UInt dim;
			UInt dir_x;
			UInt dir_y;
			Real normalization;
			Real tolerance;
			Real * coordinates;
			};

			/* -------------------------------------------------------------------------- */
			// void MeshUtils::tweakConnectivityForPBC(Mesh & mesh,
			// bool flag_x,
			// bool flag_y,
			// bool flag_z){
			// std::map<UInt,UInt> pbc_pair;
			// mesh.computeBoundingBox();
			// mesh.pbc_directions[0] = flag_x;
			// mesh.pbc_directions[1] = flag_y;
			// mesh.pbc_directions[2] = flag_z;

			// if (flag_x) computePBCMap(mesh,0,pbc_pair);
			// if (flag_y) computePBCMap(mesh,1,pbc_pair);
			// if (flag_z) computePBCMap(mesh,2,pbc_pair);

			// {
			// std::map<UInt,UInt>::iterator it = pbc_pair.begin();
			// std::map<UInt,UInt>::iterator end = pbc_pair.end();

			// Real * coords = mesh.nodes->values;
			// UInt dim = mesh.getSpatialDimension();
			// while(it != end){
			// UInt i1 = (*it).first;
			// UInt i2 = (*it).second;

			// AKANTU_DEBUG_INFO("pairing " << i1 << "("
			// << coords[dimi1] << "," << coords[dimi1+1] << ","
			// << coords[dim*i1+2]
			// << ") with"
			// << i2 << "("
			// << coords[dimi2] << "," << coords[dimi2+1] << ","
			// << coords[dim*i2+2]
			// << ")");
			// ++it;
			// }
			// }

			// //allocate and initialize list of reversed elements
			// mesh.initElementTypeMapArray<UInt>Array(mesh.reversed_elements_pbc,1,0,mesh.id,"reversed");
			// // now loop over the elements to change the connectivity of some elements
			// const Mesh::ConnectivityTypeList & type_list = mesh.getConnectivityTypeList();
			// Mesh::ConnectivityTypeList::const_iterator it;
			// for(it = type_list.begin(); it != type_list.end(); ++it) {
			// ElementType type = *it;
			// UInt nb_elem = mesh.getNbElement(type);
			// UInt nb_nodes_per_elem = mesh.getNbNodesPerElement(type);
			// UInt * conn = mesh.getConnectivityPointer(type)->values;
			// UInt index = 0;
			// Array<UInt> & list = *(mesh.reversed_elements_pbc[type]);
			// for (UInt el = 0; el < nb_elem; el++) {
			// UInt flag_should_register_elem = false;
			// for (UInt k = 0; k < nb_nodes_per_elem; ++k,++index){
			// if (pbc_pair.count(conn[index])){
			// flag_should_register_elem = true;
			// AKANTU_DEBUG_INFO("elem list size " << list.getSize());
			// AKANTU_DEBUG_INFO("node " << conn[index] +1
			// << " switch to "
			// << pbc_pair[conn[index]]+1);
			// // for (UInt toto = 0; toto < 3; ++toto) {
			// // AKANTU_DEBUG_INFO("dir " << toto << " coords "
			// // << mesh.nodes->values[conn[index]*3+toto]
			// // << " switch to "
			// // << mesh.nodes->values[pbc_pair[conn[index]]*3+toto]);
			// // }
			// std::stringstream str_temp;
			// str_temp << "initial elem(" << el << ") is ";
			// for (UInt l = 0 ; l < nb_nodes_per_elem ; ++ l){
			// str_temp << conn[el*nb_nodes_per_elem+l]+1 << " ";
			// }
			// AKANTU_DEBUG_INFO(str_temp.str());
			// conn[index] = pbc_pair[conn[index]];
			// }
			// }
			// if (flag_should_register_elem) list.push_back(el);
			// }
			// }
			// }

			/* -------------------------------------------------------------------------- */
			void MeshUtils::computePBCMap(const Mesh & mymesh,
			const UInt dir,
			std::map<UInt,UInt> & pbc_pair){
			Array<UInt> selected_left;
			Array<UInt> selected_right;

			Real * coords = mymesh.nodes->storage();
			const UInt nb_nodes = mymesh.nodes->getSize();
			const UInt dim = mymesh.getSpatialDimension();

			if (dim <= dir) return;

			AKANTU_DEBUG_INFO("min " << mymesh.lower_bounds[dir]);
			AKANTU_DEBUG_INFO("max " << mymesh.upper_bounds[dir]);

			for (UInt i = 0; i < nb_nodes; ++i) {
			AKANTU_DEBUG_TRACE("treating " << coords[dim*i+dir]);
			if(Math::are_float_equal(coords[dim*i+dir], mymesh.lower_bounds[dir])){
			AKANTU_DEBUG_TRACE("pushing node " << i << " on the left side");
			selected_left.push_back(i);
			}
			else if(Math::are_float_equal(coords[dim*i+dir], mymesh.upper_bounds[dir])){
			selected_right.push_back(i);
			AKANTU_DEBUG_TRACE("pushing node " << i << " on the right side");
			}
			}

			AKANTU_DEBUG_INFO("found " << selected_left.getSize() << " and " << selected_right.getSize()
			<< " nodes at each boundary for direction " << dir);

			// match pairs
			MeshUtils::matchPBCPairs(mymesh, dir, selected_left, selected_right, pbc_pair);

			}

			/* -------------------------------------------------------------------------- */
			void MeshUtils::computePBCMap(const Mesh & mymesh,
			const SurfacePair & surface_pair,
			std::map<UInt,UInt> & pbc_pair) {

			Array<UInt> selected_first;
			Array<UInt> selected_second;

			// find nodes on surfaces
			const ElementGroup & first_surf = mymesh.getElementGroup(surface_pair.first);
			const ElementGroup & second_surf = mymesh.getElementGroup(surface_pair.second);

			// if this surface pair is not on this proc
			if (first_surf.getNbNodes() == 0 \|\| second_surf.getNbNodes() == 0) {
			AKANTU_DEBUG_WARNING("computePBCMap has at least one surface without any nodes. I will ignore it.");
			return;
			}

			// copy nodes from element group
			selected_first.copy(first_surf.getNodeGroup().getNodes());
			selected_second.copy(second_surf.getNodeGroup().getNodes());

			// coordinates
			const Array<Real> & coords = mymesh.getNodes();
			const UInt dim = mymesh.getSpatialDimension();

			// variables to find min and max of surfaces
			Real first_max[3], first_min[3];
			Real second_max[3], second_min[3];
			for (UInt i=0; i<dim; ++i) {
			first_min[i] = std::numeric_limits<Real>::max();
			second_min[i] = std::numeric_limits<Real>::max();
			first_max[i] = -std::numeric_limits<Real>::max();
			second_max[i] = -std::numeric_limits<Real>::max();
			}

			// find min and max of surface nodes
			for (Array<UInt>::scalar_iterator it = selected_first.begin();
			it != selected_first.end();
			++it) {
			for (UInt i=0; i<dim; ++i) {
			if (first_min[i] > coords(it,i)) first_min[i] = coords(it,i);
			if (first_max[i] < coords(it,i)) first_max[i] = coords(it,i);
			}
			}
			for (Array<UInt>::scalar_iterator it = selected_second.begin();
			it != selected_second.end();
			++it) {
			for (UInt i=0; i<dim; ++i) {
			if (second_min[i] > coords(it,i)) second_min[i] = coords(it,i);
			if (second_max[i] < coords(it,i)) second_max[i] = coords(it,i);
			}
			}

			// find direction of pbc
			Int first_dir = -1;
			#ifndef AKANTU_NDEBUG
			Int second_dir = -2;
			#endif
			for (UInt i=0; i<dim; ++i) {
			if (Math::are_float_equal(first_min[i], first_max[i])) {
			first_dir = i;
			}
			#ifndef AKANTU_NDEBUG
			if (Math::are_float_equal(second_min[i], second_max[i])) {
			second_dir = i;
			}
			#endif
			}

			AKANTU_DEBUG_ASSERT(first_dir == second_dir, "Surface pair has not same direction. Surface "
			<< surface_pair.first << " dir=" << first_dir << " ; Surface "
			<< surface_pair.second << " dir=" << second_dir);
			UInt dir = first_dir;

			// match pairs
			if (first_min[dir] < second_min[dir])
			MeshUtils::matchPBCPairs(mymesh, dir, selected_first, selected_second, pbc_pair);
			else
			MeshUtils::matchPBCPairs(mymesh, dir, selected_second, selected_first, pbc_pair);
			}


			/* -------------------------------------------------------------------------- */
			void MeshUtils::matchPBCPairs(const Mesh & mymesh,
			const UInt dir,
			Array<UInt> & selected_left,
			Array<UInt> & selected_right,
			std::map<UInt,UInt> & pbc_pair) {


			// tolerance is that large because most meshers generate points coordinates
			// with single precision only (it is the case of GMSH for instance)
			Real tolerance = 1e-7;
			Real * coords = mymesh.nodes->storage();
			const UInt dim = mymesh.getSpatialDimension();
			Real normalization = mymesh.upper_bounds[dir]-mymesh.lower_bounds[dir];

			AKANTU_DEBUG_ASSERT(std::abs(normalization) > Math::getTolerance(),
			"In matchPBCPairs: The normalization is zero. "
			<< "Did you compute the bounding box of the mesh?");

			UInt dir_x = UInt(-1) ,dir_y = UInt(-1);

			if (dim == 3){
			if (dir == 0){
			dir_x = 1;dir_y = 2;
			}
			else if (dir == 1){
			dir_x = 0;dir_y = 2;
			}
			else if (dir == 2){
			dir_x = 0;dir_y = 1;
			}
			}
			else if (dim == 2){
			if (dir == 0){
			dir_x = 1;
			}
			else if (dir == 1){
			dir_x = 0;
			}
			}

			CoordinatesComparison compare_nodes(dim,dir_x,dir_y,normalization,tolerance,coords);

			std::sort(selected_left.begin(),selected_left.end(),compare_nodes);
			std::sort(selected_right.begin(),selected_right.end(),compare_nodes);


			Array<UInt>::scalar_iterator it_left = selected_left.begin();
			Array<UInt>::scalar_iterator end_left = selected_left.end();

			Array<UInt>::scalar_iterator it_right = selected_right.begin();
			Array<UInt>::scalar_iterator end_right = selected_right.end();

			while ((it_left != end_left) && (it_right != end_right) ){
			UInt i1 = *it_left;
			UInt i2 = *it_right;

			AKANTU_DEBUG_TRACE("do I pair? " << i1 << "("
			<< coords[dimi1] << "," << coords[dimi1+1] << ","
			<< coords[dim*i1+2]
			<< ") with"
			<< i2 << "("
			<< coords[dimi2] << "," << coords[dimi2+1] << ","
			<< coords[dim*i2+2]
			<< ") in direction " << dir);


			Real dx = 0.0;
			Real dy = 0.0;
			if (dim >= 2) dx = coords[dimi1 + dir_x] - coords[dimi2 + dir_x];
			if (dim == 3) dy = coords[dimi1 + dir_y] - coords[dimi2 + dir_y];

			if (fabs(dxdx+dydy)/normalization < tolerance) {
			//then i match these pairs
			if (pbc_pair.count(i2)){
			i2 = pbc_pair[i2];
			}
			pbc_pair[i1] = i2;

			AKANTU_DEBUG_TRACE("pairing " << i1 << "("
			<< coords[dimi1] << "," << coords[dimi1+1] << ","
			<< coords[dim*i1+2]
			<< ") with"
			<< i2 << "("
			<< coords[dimi2] << "," << coords[dimi2+1] << ","
			<< coords[dim*i2+2]
			<< ") in direction " << dir);
			++it_left;
			++it_right;
			} else if (compare_nodes(i1, i2)) {
			++it_left;
			} else {
			++it_right;
			}

			}
			AKANTU_DEBUG_INFO("found " << pbc_pair.size() << " pairs for direction " << dir);

			}

			__END_AKANTU__

rAKA/src/mesh_utils/mesh_pbc.cc56b2120cef98features/9-generate-a…

mesh_pbc.ccView Options

rAKA/src/mesh_utils/mesh_pbc.cc
56b2120cef98features/9-generate-a…

mesh_pbc.cc
View Options