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mesh_periodic.cc
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			/**
			* @file mesh_periodic.cc
			*
			* @author Nicolas Richart
			*
			* @date creation Sat Feb 10 2018
			*
			* @brief Implementation of the perdiodicity capabilities in the mesh
			*
			*
			* Copyright (©) 2010-2011 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 "communication_tag.hh"
			#include "communicator.hh"
			#include "element_group.hh"
			#include "mesh.hh"
			#include "periodic_node_synchronizer.hh"
			/* -------------------------------------------------------------------------- */

			namespace akantu {

			/* -------------------------------------------------------------------------- */
			void Mesh::makePeriodic(const SpatialDirection & direction) {
			Array<UInt> list_1;
			Array<UInt> list_2;
			Real tolerance = 1e-10;

			auto lower_bound = this->getLowerBounds();
			auto upper_bound = this->getUpperBounds();
			auto length = upper_bound(direction) - lower_bound(direction);

			const auto & positions = *nodes;

			for (auto && data : enumerate(make_view(positions, spatial_dimension))) {
			UInt node = std::get<0>(data);
			const auto & pos = std::get<1>(data);

			if (std::abs((pos(direction) - lower_bound(direction)) / length) <
			tolerance) {
			list_1.push_back(node);
			}

			if (std::abs((pos(direction) - upper_bound(direction)) / length) <
			tolerance) {
			list_2.push_back(node);
			}
			}

			this->makePeriodic(direction, list_1, list_2);
			}

			/* -------------------------------------------------------------------------- */
			void Mesh::makePeriodic(const SpatialDirection & direction, const ID & list_1,
			const ID & list_2) {
			const auto & list_nodes_1 =
			mesh.getElementGroup(list_1).getNodeGroup().getNodes();
			const auto & list_nodes_2 =
			mesh.getElementGroup(list_2).getNodeGroup().getNodes();

			this->makePeriodic(direction, list_nodes_1, list_nodes_2);
			}

			/* -------------------------------------------------------------------------- */
			/* -------------------------------------------------------------------------- */

			namespace {
			struct NodeInfo {
			NodeInfo() = default;
			NodeInfo(UInt spatial_dimension) : position(spatial_dimension) {}
			NodeInfo(UInt node, const Vector<Real> & position,
			const SpatialDirection & direction)
			: node(node), position(position) {
			this->direction_position = position(direction);
			this->position(direction) = 0.;
			}

			NodeInfo(const NodeInfo & other) = default;
			NodeInfo(NodeInfo && other) noexcept = default;
			NodeInfo & operator=(const NodeInfo & other) = default;
			NodeInfo & operator=(NodeInfo && other) = default;

			UInt node{0};
			Vector<Real> position;
			Real direction_position{0.};
			};
			} // namespace

			/* -------------------------------------------------------------------------- */
			// left is for lower values on direction and right for highest values
			void Mesh::makePeriodic(const SpatialDirection & direction,
			const Array<UInt> & list_left,
			const Array<UInt> & list_right) {
			Real tolerance = 1e-10;

			const auto & positions = *nodes;
			auto lower_bound = this->getLowerBounds();
			auto upper_bound = this->getUpperBounds();
			auto length = upper_bound(direction) - lower_bound(direction);

			lower_bound(direction) = 0;
			upper_bound(direction) = 0;

			auto prank = communicator->whoAmI();

			std::vector<NodeInfo> nodes_left(list_left.size());
			std::vector<NodeInfo> nodes_right(list_right.size());

			BBox bbox(spatial_dimension);
			auto to_position = [&](UInt node) {
			Vector<Real> pos(spatial_dimension);
			for (UInt s : arange(spatial_dimension)) {
			pos(s) = positions(node, s);
			}
			auto && info = NodeInfo(node, pos, direction);
			bbox += info.position;
			return std::move(info);
			};

			std::transform(list_left.begin(), list_left.end(), nodes_left.begin(),
			to_position);
			BBox bbox_left = bbox;

			bbox.reset();
			std::transform(list_right.begin(), list_right.end(), nodes_right.begin(),
			to_position);
			BBox bbox_right = bbox;

			std::vector<UInt> new_nodes;
			if (is_distributed) {
			NewNodesEvent event(AKANTU_CURRENT_FUNCTION);

			/* ---------------------------------------------------------------------- */
			// function to send nodes in bboxes intersections
			auto extract_and_send_nodes = [&](const auto & bbox, const auto & node_list,
			auto & buffers, auto proc, auto cnt) {
			// buffers.resize(buffers.size() + 1);
			buffers.push_back(std::make_unique<DynamicCommunicationBuffer>());
			auto & buffer = *buffers.back();

			// std::cout << "Sending to " << proc << std::endl;
			for (auto & info : node_list) {
			if (bbox.contains(info.position) and isLocalOrMasterNode(info.node)) {
			Vector<Real> pos = info.position;
			pos(direction) = info.direction_position;

			NodeFlag flag = (*nodes_flags)(info.node) & NodeFlag::_periodic_mask;
			UInt gnode = getNodeGlobalId(info.node);
			buffer << gnode;
			buffer << pos;
			buffer << flag;

			// std::cout << " - node " << getNodeGlobalId(info.node);

			// if is slave sends master info
			if (flag == NodeFlag::_periodic_slave) {
			UInt master = getNodeGlobalId(periodic_slave_master[info.node]);
			// std::cout << " slave of " << master << std::endl;
			buffer << master;
			}

			// if is master sends list of slaves
			if (flag == NodeFlag::_periodic_master) {
			UInt nb_slaves = periodic_master_slave.count(info.node);
			buffer << nb_slaves;

			// std::cout << " master of " << nb_slaves << " nodes : [";
			auto slaves = periodic_master_slave.equal_range(info.node);
			for (auto it = slaves.first; it != slaves.second; ++it) {
			UInt gslave = getNodeGlobalId(it->second);
			// std::cout << (it == slaves.first ? "" : ", ") << gslave;
			buffer << gslave;
			}
			// std::cout << "]";
			}
			// std::cout << std::endl;
			}
			}

			auto tag = Tag::genTag(prank, 10 * direction + cnt, Tag::_periodic_nodes);
			// std::cout << "SBuffer size " << buffer.size() << " " << tag <<
			// std::endl;
			return communicator->asyncSend(buffer, proc, tag);
			};

			/* ---------------------------------------------------------------------- */
			// function to receive nodes in bboxes intersections
			auto recv_and_extract_nodes = [&](auto & node_list, const auto proc,
			auto cnt) {
			DynamicCommunicationBuffer buffer;
			auto tag = Tag::genTag(proc, 10 * direction + cnt, Tag::_periodic_nodes);
			communicator->receive(buffer, proc, tag);
			// std::cout << "RBuffer size " << buffer.size() << " " << tag <<
			// std::endl; std::cout << "Receiving from " << proc << std::endl;

			while (not buffer.empty()) {
			Vector<Real> pos(spatial_dimension);
			UInt global_node;
			NodeFlag flag;
			buffer >> global_node;
			buffer >> pos;
			buffer >> flag;

			// std::cout << " - node " << global_node;
			auto local_node = getNodeLocalId(global_node);

			// get the master info of is slave
			if (flag == NodeFlag::_periodic_slave) {
			UInt master_node;
			buffer >> master_node;
			// std::cout << " slave of " << master_node << std::endl;
			// auto local_master_node = getNodeLocalId(master_node);
			// AKANTU_DEBUG_ASSERT(local_master_node != UInt(-1),
			//"Should I know the master node " << master_node);
			}

			// get the list of slaves if is master
			if ((flag & NodeFlag::_periodic_mask) == NodeFlag::_periodic_master) {
			UInt nb_slaves;
			buffer >> nb_slaves;
			// std::cout << " master of " << nb_slaves << " nodes : [";
			for (auto ns [[gnu::unused]] : arange(nb_slaves)) {
			UInt gslave_node;
			buffer >> gslave_node;
			// std::cout << (ns == 0 ? "" : ", ") << gslave_node;
			// auto lslave_node = getNodeLocalId(gslave_node);
			// AKANTU_DEBUG_ASSERT(lslave_node != UInt(-1),
			// "Should I know the slave node " <<
			// gslave_node);
			}
			// std::cout << "]";
			}
			// std::cout << std::endl;
			if (local_node != UInt(-1)) {
			continue;
			}

			local_node = nodes->size();

			NodeInfo info(local_node, pos, direction);
			nodes->push_back(pos);
			nodes_global_ids->push_back(global_node);
			nodes_flags->push_back(flag \| NodeFlag::_pure_ghost);
			new_nodes.push_back(info.node);
			node_list.push_back(info);

			nodes_prank[info.node] = proc;
			event.getList().push_back(local_node);
			}
			};

			/* ---------------------------------------------------------------------- */
			auto && intersections_with_right =
			bbox_left.intersection(bbox_right, *communicator);
			auto && intersections_with_left =
			bbox_right.intersection(bbox_left, *communicator);

			std::vector<CommunicationRequest> send_requests;
			std::vector<std::unique_ptr<DynamicCommunicationBuffer>> send_buffers;

			// sending nodes in the common zones
			auto send_intersections = [&](auto & intersections, auto send_count) {
			for (auto && data : intersections) {
			auto proc = std::get<0>(data);

			// Send local nodes if intersects with remote
			const auto & intersection_with_proc = std::get<1>(data);
			if (intersection_with_proc) {
			send_requests.push_back(
			extract_and_send_nodes(intersection_with_proc, nodes_right,
			send_buffers, proc, send_count));
			}

			send_count += 2;
			}
			};

			auto recv_intersections = [&](auto & intersections, auto recv_count) {
			for (auto && data : intersections) {
			auto proc = std::get<0>(data);

			// receive remote nodes if intersects with local
			const auto & intersection_with_proc = std::get<1>(data);
			if (intersection_with_proc) {
			recv_and_extract_nodes(nodes_right, proc, recv_count);
			}

			recv_count += 2;
			}
			};

			send_intersections(intersections_with_left, 0);
			send_intersections(intersections_with_right, 1);

			recv_intersections(intersections_with_right, 0);
			recv_intersections(intersections_with_right, 1);

			Communicator::waitAll(send_requests);
			Communicator::freeCommunicationRequest(send_requests);

			this->sendEvent(event);
			} // end distributed work

			auto to_sort = [&](auto && info1, auto && info2) -> bool {
			return info1.position < info2.position;
			};

			// sort nodes based on their distance to lower corner
			std::sort(nodes_left.begin(), nodes_left.end(), to_sort);
			std::sort(nodes_right.begin(), nodes_right.end(), to_sort);

			// function to change the master of nodes
			auto updating_master = [&](auto & old_master, auto & new_master) {
			if (old_master == new_master) {
			return;
			}

			auto slaves = periodic_master_slave.equal_range(old_master);
			AKANTU_DEBUG_ASSERT(
			isPeriodicMaster(
			old_master), // slaves.first != periodic_master_slave.end(),
			"Cannot update master " << old_master << ", its not a master node!");
			decltype(periodic_master_slave) tmp_master_slave;
			for (auto it = slaves.first; it != slaves.second; ++it) {
			auto slave = it->second;
			tmp_master_slave.insert(std::make_pair(new_master, slave));
			periodic_slave_master[slave] = new_master;
			}

			periodic_master_slave.erase(old_master);
			(*nodes_flags)[old_master] &= ~NodeFlag::_periodic_master;
			addPeriodicSlave(old_master, new_master);

			for (auto && data : tmp_master_slave) {
			addPeriodicSlave(data.second, data.first);
			}
			};

			// handling 2 nodes that are periodic
			auto match_found = [&](auto & info1, auto & info2) {
			const auto & node1 = info1.node;
			const auto & node2 = info2.node;

			auto master = node1;
			bool node1_side_master = false;
			if (isPeriodicMaster(node1)) {
			node1_side_master = true;
			} else if (isPeriodicSlave(node1)) {
			node1_side_master = true;
			master = periodic_slave_master[node1];
			}

			auto node2_master = node2;
			if (isPeriodicSlave(node2)) {
			node2_master = periodic_slave_master[node2];
			}

			if (node1_side_master) {
			if (isPeriodicSlave(node2)) {
			updating_master(node2_master, master);
			return;
			}

			if (isPeriodicMaster(node2)) {
			updating_master(node2, master);
			return;
			}

			addPeriodicSlave(node2, master);
			} else {
			if (isPeriodicSlave(node2)) {
			addPeriodicSlave(node1, node2_master);
			return;
			}

			if (isPeriodicMaster(node2)) {
			addPeriodicSlave(node1, node2);
			return;
			}

			addPeriodicSlave(node2, node1);
			}
			};

			// matching the nodes from 2 lists
			auto match_pairs = [&](auto & nodes_1, auto & nodes_2) {
			// Guillaume to Nico: It seems that the list of nodes is not sorted
			// as it was: therefore the loop cannot be truncated anymore.
			// Otherwise many pairs are missing.
			// I replaced (temporarily?) for the N^2 loop so as not to miss
			// any pbc pair.
			//

			// auto it = nodes_2.begin();
			// for every nodes in 1st list
			for (auto && info1 : nodes_1) {
			auto & pos1 = info1.position;
			// auto it_cur = it;

			// try to find a match in 2nd list
			for (auto && info2 : nodes_2) {
			// auto & info2 = *it_cur;
			auto & pos2 = info2.position;

			auto dist = pos1.distance(pos2) / length;
			if (dist < tolerance) {
			// handles the found matches
			match_found(info1, info2);
			// it = it_cur;
			break;
			}
			}
			}
			};

			match_pairs(nodes_left, nodes_right);
			// match_pairs(nodes_right, nodes_left);

			this->updatePeriodicSynchronizer();

			this->is_periodic = true;
			}

			/* -------------------------------------------------------------------------- */
			void Mesh::wipePeriodicInfo() {
			this->is_periodic = false;

			this->periodic_slave_master.clear();
			this->periodic_master_slave.clear();

			for (auto && flags : *nodes_flags) {
			flags &= ~NodeFlag::_periodic_mask;
			}
			}

			/* -------------------------------------------------------------------------- */
			void Mesh::updatePeriodicSynchronizer() {
			if (not this->periodic_node_synchronizer) {
			this->periodic_node_synchronizer =
			std::make_unique<PeriodicNodeSynchronizer>(
			*this, this->getID() + ":periodic_synchronizer", false);
			}

			this->periodic_node_synchronizer->update();
			}

			} // namespace akantu

rAKA/src/mesh/mesh_periodic.ccba9e2713a380features/python_fragmen…

mesh_periodic.ccView Options

rAKA/src/mesh/mesh_periodic.cc
ba9e2713a380features/python_fragmen…

mesh_periodic.cc
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