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mesh_partition_scotch.cc
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			/**
			* Copyright (©) 2010-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
			* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
			*
			* This file is part of Akantu
			*
			* 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 "mesh_partition_scotch.hh"
			#include "aka_common.hh"
			#include "aka_random_generator.hh"
			#include "aka_static_if.hh"
			#include "mesh_accessor.hh"
			#include "mesh_utils.hh"
			/* -------------------------------------------------------------------------- */
			#include <cstdio>
			#include <fstream>
			/* -------------------------------------------------------------------------- */

			#if !defined(AKANTU_USE_PTSCOTCH)
			#ifndef AKANTU_SCOTCH_NO_EXTERN
			extern "C" {
			#endif // AKANTU_SCOTCH_NO_EXTERN
			#include <scotch.h>
			#ifndef AKANTU_SCOTCH_NO_EXTERN
			}
			#endif // AKANTU_SCOTCH_NO_EXTERN
			#else // AKANTU_USE_PTSCOTCH
			#include <ptscotch.h>
			#endif // AKANTU_USE_PTSCOTCH

			namespace akantu {

			namespace {
			constexpr int scotch_version = int(SCOTCH_VERSION);
			}

			/* -------------------------------------------------------------------------- */
			MeshPartitionScotch::MeshPartitionScotch(Mesh & mesh, Int spatial_dimension,
			const ID & id)
			: MeshPartition(mesh, spatial_dimension, id) {
			AKANTU_DEBUG_IN();

			// check if the akantu types and Scotch one are consistent
			static_assert(
			sizeof(Int) == sizeof(SCOTCH_Num),
			"The integer type of Akantu does not match the one from Scotch");

			if constexpr (scotch_version >= 6) {
			SCOTCH_randomSeed(RandomGenerator<Int>::seed());
			} else {
			srandom(RandomGenerator<Int>::seed());
			}

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			static SCOTCH_Mesh * createMesh(const Mesh & mesh) {
			AKANTU_DEBUG_IN();

			auto spatial_dimension = mesh.getSpatialDimension();
			auto nb_nodes = mesh.getNbNodes();

			Int total_nb_element = 0;
			Int nb_edge = 0;

			for (const auto & type : mesh.elementTypes(spatial_dimension)) {
			auto nb_element = mesh.getNbElement(type);
			auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);

			total_nb_element += nb_element;
			nb_edge += nb_element * nb_nodes_per_element;
			}

			SCOTCH_Num vnodbas = 0;
			SCOTCH_Num vnodnbr = nb_nodes;

			SCOTCH_Num velmbas = vnodnbr;
			SCOTCH_Num velmnbr = total_nb_element;

			auto * verttab = new SCOTCH_Num[vnodnbr + velmnbr + 1];
			SCOTCH_Num * vendtab = verttab + 1;

			SCOTCH_Num * velotab = nullptr;
			SCOTCH_Num * vnlotab = nullptr;
			SCOTCH_Num * vlbltab = nullptr;

			memset(verttab, 0, (vnodnbr + velmnbr + 1) * sizeof(SCOTCH_Num));

			for (const auto & type : mesh.elementTypes(spatial_dimension)) {
			if (Mesh::getSpatialDimension(type) != spatial_dimension) {
			continue;
			}

			const auto & connectivity = mesh.getConnectivity(type, _not_ghost);
			/// count number of occurrence of each node
			for (auto && conn : make_view(connectivity, connectivity.getNbComponent()))
			for (auto && node : conn)
			verttab[node]++;
			}

			/// convert the occurrence array in a csr one
			for (Int i = 1; i < nb_nodes; ++i) {
			verttab[i] += verttab[i - 1];
			}
			for (Int i = nb_nodes; i > 0; --i) {
			verttab[i] = verttab[i - 1];
			}
			verttab[0] = 0;

			/// rearrange element to get the node-element list
			SCOTCH_Num edgenbr = verttab[vnodnbr] + nb_edge;
			auto * edgetab = new SCOTCH_Num[edgenbr];

			Idx linearized_el = 0;

			for (const auto & type : mesh.elementTypes(spatial_dimension)) {
			auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
			const auto & connectivity = mesh.getConnectivity(type, _not_ghost);

			for (auto && conn : make_view(connectivity, nb_nodes_per_element)) {
			for (auto c : conn) {
			edgetab[verttab[c]++] = linearized_el + velmbas;
			}
			++linearized_el;
			}
			}

			for (Int i = nb_nodes; i > 0; --i) {
			verttab[i] = verttab[i - 1];
			}
			verttab[0] = 0;

			auto * verttab_tmp = verttab + vnodnbr + 1;
			auto * edgetab_tmp = edgetab + verttab[vnodnbr];

			for (const auto & type : mesh.elementTypes(spatial_dimension)) {
			auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
			const auto & connectivity = mesh.getConnectivity(type, _not_ghost);

			for (auto && conn : make_view(connectivity, nb_nodes_per_element)) {
			verttab_tmp = (verttab_tmp - 1) + nb_nodes_per_element;
			verttab_tmp++;

			for (auto c : conn) {
			*(edgetab_tmp++) = c + vnodbas;
			}
			}
			}

			auto * meshptr = new SCOTCH_Mesh;

			SCOTCH_meshInit(meshptr);

			SCOTCH_meshBuild(meshptr, velmbas, vnodbas, velmnbr, vnodnbr, verttab,
			vendtab, velotab, vnlotab, vlbltab, edgenbr, edgetab);

			/// Check the mesh
			AKANTU_DEBUG_ASSERT(SCOTCH_meshCheck(meshptr) == 0,
			"Scotch mesh is not consistent");

			#ifndef AKANTU_NDEBUG
			if (AKANTU_DEBUG_TEST(dblDump)) {
			/// save initial graph
			FILE * fmesh = fopen("ScotchMesh.msh", "w");
			SCOTCH_meshSave(meshptr, fmesh);
			fclose(fmesh);

			/// write geometry file
			std::ofstream fgeominit;
			fgeominit.open("ScotchMesh.xyz");
			fgeominit << spatial_dimension << std::endl << nb_nodes << std::endl;

			const Array<Real> & nodes = mesh.getNodes();
			const Real * nodes_val = nodes.data();
			for (Int i = 0; i < nb_nodes; ++i) {
			fgeominit << i << " ";
			for (Int s = 0; s < spatial_dimension; ++s) {
			fgeominit << *(nodes_val++) << " ";
			}
			fgeominit << std::endl;
			}
			fgeominit.close();
			}
			#endif

			AKANTU_DEBUG_OUT();
			return meshptr;
			}

			/* -------------------------------------------------------------------------- */
			static void destroyMesh(SCOTCH_Mesh * meshptr) {
			AKANTU_DEBUG_IN();

			SCOTCH_Num velmbas;
			SCOTCH_Num vnodbas;
			SCOTCH_Num vnodnbr;
			SCOTCH_Num velmnbr;
			SCOTCH_Num * verttab;
			SCOTCH_Num * vendtab;
			SCOTCH_Num * velotab;
			SCOTCH_Num * vnlotab;
			SCOTCH_Num * vlbltab;
			SCOTCH_Num edgenbr;
			SCOTCH_Num * edgetab;
			SCOTCH_Num degrptr;

			SCOTCH_meshData(meshptr, &velmbas, &vnodbas, &velmnbr, &vnodnbr, &verttab,
			&vendtab, &velotab, &vnlotab, &vlbltab, &edgenbr, &edgetab,
			&degrptr);

			delete[] verttab;
			delete[] edgetab;

			SCOTCH_meshExit(meshptr);

			delete meshptr;

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			void MeshPartitionScotch::partitionate(
			Int nb_part,
			const std::function<Int(const Element &, const Element &)> & edge_load_func,
			const std::function<Int(const Element &)> & vertex_load_func) {
			AKANTU_DEBUG_IN();

			nb_partitions = nb_part;

			if (mesh.isPeriodic()) {
			tweakConnectivity();
			}

			AKANTU_DEBUG_INFO("Partitioning the mesh " << mesh.getID() << " in "
			<< nb_part << " parts.");

			Array<Int> dxadj;
			Array<Int> dadjncy;
			Array<Int> edge_loads;
			Array<Int> vertex_loads;
			buildDualGraph(dxadj, dadjncy, edge_loads, edge_load_func, vertex_loads,
			vertex_load_func);

			/// variables that will hold our structures in scotch format
			SCOTCH_Graph scotch_graph;
			SCOTCH_Strat scotch_strat;

			/// description number and arrays for struct mesh for scotch
			SCOTCH_Num baseval = 0; // base numbering for element and
			// nodes (0 -> C , 1 -> fortran)
			SCOTCH_Num vertnbr = dxadj.size() - 1; // number of vertexes
			SCOTCH_Num * parttab; // array of partitions
			SCOTCH_Num edgenbr = dxadj(vertnbr); // twice the number of "edges"
			//(an "edge" bounds two nodes)
			SCOTCH_Num * verttab = dxadj.data(); // array of start indices in edgetab
			SCOTCH_Num * vendtab = nullptr; // array of after-last indices in edgetab
			SCOTCH_Num * velotab = vertex_loads.data(); // integer load associated with
			// every vertex ( optional )
			SCOTCH_Num * edlotab = edge_loads.data(); // integer load associated with
			// every edge ( optional )
			SCOTCH_Num * edgetab = dadjncy.data(); // adjacency array of every vertex
			SCOTCH_Num * vlbltab = nullptr; // vertex label array (optional)

			/// Allocate space for Scotch arrays
			Array<SCOTCH_Num> parttab_array(vertnbr);
			parttab = parttab_array.data();

			/// Initialize the strategy structure
			SCOTCH_stratInit(&scotch_strat);

			/// Initialize the graph structure
			SCOTCH_graphInit(&scotch_graph);

			/// Build the graph from the adjacency arrays
			SCOTCH_graphBuild(&scotch_graph, baseval, vertnbr, verttab, vendtab, velotab,
			vlbltab, edgenbr, edgetab, edlotab);

			#ifndef AKANTU_NDEBUG
			if (AKANTU_DEBUG_TEST(dblDump)) {
			/// save initial graph
			FILE * fgraphinit = fopen("GraphIniFile.grf", "w");
			SCOTCH_graphSave(&scotch_graph, fgraphinit);
			fclose(fgraphinit);

			/// write geometry file
			std::ofstream fgeominit;
			fgeominit.open("GeomIniFile.xyz");
			fgeominit << spatial_dimension << std::endl << vertnbr << std::endl;

			const auto & nodes = mesh.getNodes();

			auto nodes_it = nodes.begin(spatial_dimension);

			Int out_linerized_el = 0;
			for (const auto & type :
			mesh.elementTypes(spatial_dimension, _not_ghost, _ek_not_defined)) {
			auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
			const auto & connectivity = mesh.getConnectivity(type);

			Vector<Real> mid(spatial_dimension);
			for (auto && conn : make_view(connectivity, nb_nodes_per_element)) {
			mid.set(0.);
			for (auto node : conn) {
			mid += nodes_it[node];
			}
			mid /= conn.size();

			fgeominit << out_linerized_el++ << " ";
			for (Int s = 0; s < spatial_dimension; ++s) {
			fgeominit << mid[s] << " ";
			}

			fgeominit << std::endl;
			}
			}
			fgeominit.close();
			}
			#endif

			/// Check the graph
			AKANTU_DEBUG_ASSERT(SCOTCH_graphCheck(&scotch_graph) == 0,
			"Graph to partition is not consistent");

			/// Partition the mesh
			SCOTCH_graphPart(&scotch_graph, nb_part, &scotch_strat, parttab);

			/// Check the graph
			AKANTU_DEBUG_ASSERT(SCOTCH_graphCheck(&scotch_graph) == 0,
			"Partitioned graph is not consistent");

			#ifndef AKANTU_NDEBUG
			if (AKANTU_DEBUG_TEST(dblDump)) {
			/// save the partitioned graph
			FILE * fgraph = fopen("GraphFile.grf", "w");
			SCOTCH_graphSave(&scotch_graph, fgraph);
			fclose(fgraph);

			/// save the partition map
			std::ofstream fmap;
			fmap.open("MapFile.map");
			fmap << vertnbr << std::endl;
			for (Int i = 0; i < vertnbr; i++) {
			fmap << i << " " << parttab[i] << std::endl;
			}
			fmap.close();
			}
			#endif

			/// free the scotch data structures
			SCOTCH_stratExit(&scotch_strat);
			SCOTCH_graphFree(&scotch_graph);
			SCOTCH_graphExit(&scotch_graph);

			fillPartitionInformation(mesh, parttab);

			if (mesh.isPeriodic()) {
			restoreConnectivity();
			}

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			void MeshPartitionScotch::reorder() {
			AKANTU_DEBUG_IN();

			AKANTU_DEBUG_INFO("Reordering the mesh " << mesh.getID());
			SCOTCH_Mesh * scotch_mesh = createMesh(mesh);

			auto nb_nodes = mesh.getNbNodes();

			SCOTCH_Strat scotch_strat;
			// SCOTCH_Ordering scotch_order;

			Array<SCOTCH_Num> permtab(nb_nodes);
			SCOTCH_Num * peritab = nullptr;
			SCOTCH_Num cblknbr = 0;
			SCOTCH_Num * rangtab = nullptr;
			SCOTCH_Num * treetab = nullptr;

			/// Initialize the strategy structure
			SCOTCH_stratInit(&scotch_strat);

			SCOTCH_Graph scotch_graph;

			SCOTCH_graphInit(&scotch_graph);
			SCOTCH_meshGraph(scotch_mesh, &scotch_graph);

			#ifndef AKANTU_NDEBUG
			if (AKANTU_DEBUG_TEST(dblDump)) {
			FILE * fgraphinit = fopen("ScotchMesh.grf", "w");
			SCOTCH_graphSave(&scotch_graph, fgraphinit);
			fclose(fgraphinit);
			}
			#endif

			/// Check the graph
			// AKANTU_DEBUG_ASSERT(SCOTCH_graphCheck(&scotch_graph) == 0,
			// "Mesh to Graph is not consistent");

			SCOTCH_graphOrder(&scotch_graph, &scotch_strat, permtab.data(), peritab,
			&cblknbr, rangtab, treetab);

			SCOTCH_graphExit(&scotch_graph);
			SCOTCH_stratExit(&scotch_strat);
			destroyMesh(scotch_mesh);

			/// Renumbering
			auto spatial_dimension = mesh.getSpatialDimension();
			MeshAccessor mesh_accessor(mesh);
			for (auto gt : ghost_types) {
			for (const auto & type : mesh.elementTypes(_ghost_type = gt)) {
			auto & connectivity = mesh_accessor.getConnectivity(type, gt);
			for (auto && c : make_view(connectivity)) {
			c = permtab[c];
			}
			}
			}

			/// \todo think of a in-place way to do it
			Array<Real> new_coordinates(nb_nodes, spatial_dimension);
			auto new_nodes_it = make_view(new_coordinates, spatial_dimension).begin();
			for (auto && data :
			zip(make_view(mesh.getNodes(), spatial_dimension), permtab)) {
			new_nodes_it[std::get<1>(data)] = std::get<0>(data);
			}

			mesh_accessor.getNodes().copy(new_coordinates);

			AKANTU_DEBUG_OUT();
			}

			} // namespace akantu

rAKA/src/mesh_utils/mesh_partition/mesh_partition_scotch.cc9c1eebeefcc2bugfixes/64-building…

mesh_partition_scotch.ccView Options

rAKA/src/mesh_utils/mesh_partition/mesh_partition_scotch.cc
9c1eebeefcc2bugfixes/64-building…

mesh_partition_scotch.cc
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