mesh.hh
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mesh.hh
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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/>.
	*/

	/* -------------------------------------------------------------------------- */
	#ifndef AKANTU_MESH_HH_
	#define AKANTU_MESH_HH_

	/* -------------------------------------------------------------------------- */
	#include "aka_array.hh"
	#include "aka_bbox.hh"
	#include "aka_event_handler_manager.hh"
	#include "communicator.hh"
	#include "dumpable.hh"
	#include "element.hh"
	#include "element_class.hh"
	#include "element_type_map.hh"
	#include "group_manager.hh"
	#include "mesh_data.hh"
	#include "mesh_events.hh"
	/* -------------------------------------------------------------------------- */
	#include <functional>
	#include <set>
	#include <unordered_map>
	/* -------------------------------------------------------------------------- */

	namespace akantu {
	class ElementSynchronizer;
	class NodeSynchronizer;
	class PeriodicNodeSynchronizer;
	class MeshGlobalDataUpdater;
	} // namespace akantu

	namespace akantu {

	namespace {
	DECLARE_NAMED_ARGUMENT(communicator);
	DECLARE_NAMED_ARGUMENT(edge_weight_function);
	DECLARE_NAMED_ARGUMENT(vertex_weight_function);
	} // namespace

	/* -------------------------------------------------------------------------- */
	/* Mesh */
	/* -------------------------------------------------------------------------- */

	/**
	* @class Mesh mesh.hh
	*
	* This class contaisn the coordinates of the nodes in the Mesh.nodes
	* akant::Array, and the connectivity. The connectivity are stored in by element
	* types.
	*
	* In order to loop on all element you have to loop on all types like this :
	* @code{.cpp}
	for(auto & type : mesh.elementTypes()) {
	Int nb_element = mesh.getNbElement(type);
	const auto & conn = mesh.getConnectivity(type);
	for(Int e = 0; e < nb_element; ++e) {
	...
	}
	}

	or

	for_each_element(mesh, [](Element & element) {
	std::cout << element << std::endl
	});
	@endcode
	*/
	class Mesh : public EventHandlerManager<MeshEventHandler>,
	public GroupManager,
	public MeshData,
	public Dumpable {
	/* ------------------------------------------------------------------------ */
	/* Constructors/Destructors */
	/* ------------------------------------------------------------------------ */
	private:
	/// default constructor used for chaining, the last parameter is just to
	/// differentiate constructors
	Mesh(Int spatial_dimension, const ID & id, Communicator & communicator);

	public:
	/// constructor that create nodes coordinates array
	Mesh(Int spatial_dimension, const ID & id = "mesh");

	/// mesh not distributed and not using the default communicator
	Mesh(Int spatial_dimension, Communicator & communicator,
	const ID & id = "mesh");

	/**
	* constructor that use an existing nodes coordinates
	* array, by getting the vector of coordinates
	*/
	Mesh(Int spatial_dimension, const std::shared_ptr<Array<Real>> & nodes,
	const ID & id = "mesh");

	~Mesh() override;

	Mesh(const Mesh &) = delete;
	Mesh(Mesh &&) = delete;
	Mesh & operator=(const Mesh &) = delete;
	Mesh & operator=(Mesh &&) = delete;

	/// read the mesh from a file
	void read(const std::string & filename,
	const MeshIOType & mesh_io_type = _miot_auto);
	/// write the mesh to a file
	void write(const std::string & filename,
	const MeshIOType & mesh_io_type = _miot_auto);

	protected:
	void makeReady();

	private:
	/// initialize the connectivity to NULL and other stuff
	void init();

	/// function that computes the bounding box (fills xmin, xmax)
	void computeBoundingBox();

	/* ------------------------------------------------------------------------ */
	/* Distributed memory methods and accessors */
	/* ------------------------------------------------------------------------ */
	public:
	protected:
	/// patitionate the mesh among the processors involved in their computation
	virtual void distributeImpl(
	Communicator & communicator,
	const std::function<Int(const Element &, const Element &)> &
	edge_weight_function,
	const std::function<Int(const Element &)> & vertex_weight_function);

	public:
	/// with the arguments to pass to the partitionner
	template <typename... pack>
	std::enable_if_t<are_named_argument<pack...>::value>
	distribute(pack &&... _pack) {
	distributeImpl(
	OPTIONAL_NAMED_ARG(communicator, Communicator::getStaticCommunicator()),
	OPTIONAL_NAMED_ARG(edge_weight_function,
	[](auto &&, auto &&) { return 1; }),
	OPTIONAL_NAMED_ARG(vertex_weight_function, [](auto &&) { return 1; }));
	}

	/// defines is the mesh is distributed or not
	inline bool isDistributed() const { return this->is_distributed; }

	/* ------------------------------------------------------------------------ */
	/* Periodicity methods and accessors */
	/* ------------------------------------------------------------------------ */
	public:
	/// set the periodicity in a given direction
	void makePeriodic(const SpatialDirection & direction);
	void makePeriodic(const SpatialDirection & direction, const ID & list_1,
	const ID & list_2);

	protected:
	void makePeriodic(const SpatialDirection & direction,
	const Array<Idx> & list_1, const Array<Idx> & list_2);

	/// Removes the face that the mesh is periodic
	void wipePeriodicInfo();

	inline void addPeriodicSlave(Idx slave, Idx master);

	template <typename T>
	void synchronizePeriodicSlaveDataWithMaster(Array<T> & data);

	// update the periodic synchronizer (creates it if it does not exists)
	void updatePeriodicSynchronizer();

	public:
	/// defines if the mesh is periodic or not
	inline bool isPeriodic() const { return this->is_periodic; }

	inline bool isPeriodic(const SpatialDirection & /direction/) const {
	return this->is_periodic;
	}

	class PeriodicSlaves;

	/// get the master node for a given slave nodes, except if node not a slave
	inline Idx getPeriodicMaster(Idx slave) const;

	/// get an iterable list of slaves for a given master node
	inline decltype(auto) getPeriodicSlaves(Idx master) const;

	/* ------------------------------------------------------------------------ */
	/* General Methods */
	/* ------------------------------------------------------------------------ */
	public:
	/// function to print the containt of the class
	void printself(std::ostream & stream, int indent = 0) const override;

	/// extract coordinates of nodes from an element
	template <typename T, class Derived1, class Derived2,
	std::enable_if_t<aka::is_vector_v<Derived2>> * = nullptr>
	inline void extractNodalValuesFromElement(
	const Array<T> & nodal_values,
	Eigen::MatrixBase<Derived1> & elemental_values,
	const Eigen::MatrixBase<Derived2> & connectivity) const;

	/// extract coordinates of nodes from an element
	template <typename T>
	inline decltype(auto)
	extractNodalValuesFromElement(const Array<T> & nodal_values,
	const Element & element) const;

	/// add a Array of connectivity for the given ElementType and GhostType .
	inline void addConnectivityType(ElementType type,
	GhostType ghost_type = _not_ghost);

	/* ------------------------------------------------------------------------ */
	template <class Event> void sendEvent(Event & event);

	/// prepare the event to remove the elements listed
	void eraseElements(const Array<Element> & elements);

	/* ------------------------------------------------------------------------ */
	template <typename T>
	inline void removeNodesFromArray(Array<T> & vect,
	const Array<Int> & new_numbering);

	/// init facets' mesh
	Mesh & initMeshFacets(const ID & id = "mesh_facets");

	/// define parent mesh
	void defineMeshParent(const Mesh & mesh);

	/// get global connectivity array
	void getGlobalConnectivity(ElementTypeMapArray<Int> & global_connectivity);

	public:
	void getAssociatedElements(const Array<Int> & node_list,
	Array<Element> & elements);

	void getAssociatedElements(const Idx & node, Array<Element> & elements) const;

	inline decltype(auto) getAssociatedElements(const Idx & node) const;

	public:
	/// fills the nodes_to_elements for given dimension elements
	void fillNodesToElements(Int dimension = _all_dimensions);

	private:
	/// update the global ids, nodes type, ...
	std::tuple<Int, Int> updateGlobalData(NewNodesEvent & nodes_event,
	NewElementsEvent & elements_event);

	void registerGlobalDataUpdater(
	std::unique_ptr<MeshGlobalDataUpdater> && global_data_updater);
	/* ------------------------------------------------------------------------ */
	/* Accessors */
	/* ------------------------------------------------------------------------ */
	public:
	/// get the id of the mesh
	AKANTU_GET_MACRO(ID, id, const ID &);

	/// get the spatial dimension of the mesh = number of component of the
	/// coordinates
	AKANTU_GET_MACRO(SpatialDimension, spatial_dimension, Int);

	/// get the nodes Array aka coordinates
	AKANTU_GET_MACRO(Nodes, *nodes, const Array<Real> &);
	AKANTU_GET_MACRO_NOT_CONST(Nodes, *nodes, Array<Real> &);

	/// get the number of nodes
	auto getNbNodes() const { return nodes->size(); }

	/// get the Array of global ids of the nodes (only used in parallel)
	AKANTU_GET_MACRO_AUTO(GlobalNodesIds, *nodes_global_ids);
	// AKANTU_GET_MACRO_NOT_CONST(GlobalNodesIds, *nodes_global_ids, Array<UInt>
	// &);

	/// get the global id of a node
	inline auto getNodeGlobalId(Idx local_id) const;

	/// get the global id of a node
	inline auto getNodeLocalId(Idx global_id) const;

	/// get the global number of nodes
	inline auto getNbGlobalNodes() const;

	/// get the nodes type Array
	AKANTU_GET_MACRO(NodesFlags, *nodes_flags, const Array<NodeFlag> &);

	protected:
	AKANTU_GET_MACRO_NOT_CONST(NodesFlags, *nodes_flags, Array<NodeFlag> &);

	public:
	inline NodeFlag getNodeFlag(Idx local_id) const;
	inline auto getNodePrank(Idx local_id) const;

	/// say if a node is a pure ghost node
	inline bool isPureGhostNode(Idx n) const;

	/// say if a node is pur local or master node
	inline bool isLocalOrMasterNode(Idx n) const;

	inline bool isLocalNode(Idx n) const;
	inline bool isMasterNode(Idx n) const;
	inline bool isSlaveNode(Idx n) const;

	inline bool isPeriodicSlave(Idx n) const;
	inline bool isPeriodicMaster(Idx n) const;

	const Vector<Real> & getLowerBounds() const { return bbox.getLowerBounds(); }
	const Vector<Real> & getUpperBounds() const { return bbox.getUpperBounds(); }
	AKANTU_GET_MACRO(BBox, bbox, const BBox &);

	const Vector<Real> & getLocalLowerBounds() const {
	return bbox_local.getLowerBounds();
	}
	const Vector<Real> & getLocalUpperBounds() const {
	return bbox_local.getUpperBounds();
	}
	AKANTU_GET_MACRO(LocalBBox, bbox_local, const BBox &);

	/// get the connectivity Array for a given type
	AKANTU_GET_MACRO_BY_ELEMENT_TYPE_CONST(Connectivity, connectivities, Idx);
	AKANTU_GET_MACRO_BY_ELEMENT_TYPE(Connectivity, connectivities, Idx);
	AKANTU_GET_MACRO(Connectivities, connectivities,
	const ElementTypeMapArray<Idx> &);

	/// get the number of element of a type in the mesh
	inline auto getNbElement(ElementType type,
	GhostType ghost_type = _not_ghost) const;

	/// get the number of element for a given ghost_type and a given dimension
	inline auto getNbElement(Int spatial_dimension = _all_dimensions,
	GhostType ghost_type = _not_ghost,
	ElementKind kind = _ek_not_defined) const;

	/// compute the barycenter of a given element
	template <class D, std::enable_if_t<aka::is_vector_v<D>> * = nullptr>
	inline void getBarycenter(const Element & element,
	const Eigen::MatrixBase<D> & barycenter) const;

	inline Vector<Real> getBarycenter(const Element & element) const;

	void getBarycenters(Array<Real> & barycenter, ElementType type,
	GhostType ghost_type) const;

	/// get the element connected to a subelement (element of lower dimension)
	decltype(auto) getElementToSubelement() const;

	/// get the element connected to a subelement
	const auto & getElementToSubelement(ElementType el_type,
	GhostType ghost_type = _not_ghost) const;

	/// get the elements connected to a subelement
	decltype(auto) getElementToSubelement(const Element & element) const;

	/// get the subelement (element of lower dimension) connected to a element
	decltype(auto) getSubelementToElement() const;

	/// get the subelement connected to an element
	const auto & getSubelementToElement(ElementType el_type,
	GhostType ghost_type = _not_ghost) const;

	/// get the subelement (element of lower dimension) connected to a element
	decltype(auto) getSubelementToElement(const Element & element) const;

	/// get connectivity of a given element
	inline decltype(auto) getConnectivity(const Element & element) const;
	inline decltype(auto)
	getConnectivityWithPeriodicity(const Element & element) const;

	protected:
	/// get the element connected to a subelement (element of lower dimension)
	auto & getElementToSubelementNC();
	auto & getSubelementToElementNC();
	inline auto & getElementToSubelementNC(const Element & element);
	inline decltype(auto) getSubelementToElementNC(const Element & element);
	/// get the element connected to a subelement
	auto & getElementToSubelementNC(ElementType el_type,
	GhostType ghost_type = _not_ghost);
	/// get the subelement connected to an element
	auto & getSubelementToElementNC(ElementType el_type,
	GhostType ghost_type = _not_ghost);

	inline decltype(auto) getConnectivityNC(const Element & element);

	public:
	/// get a name field associated to the mesh
	template <typename T>
	inline decltype(auto) getData(const ID & data_name, ElementType el_type,
	GhostType ghost_type = _not_ghost) const;

	/// get a name field associated to the mesh
	template <typename T>
	inline decltype(auto) getData(const ID & data_name, ElementType el_type,
	GhostType ghost_type = _not_ghost);

	/// get a name field associated to the mesh
	template <typename T>
	inline decltype(auto) getData(const ID & data_name) const;

	/// get a name field associated to the mesh
	template <typename T> inline decltype(auto) getData(const ID & data_name);

	template <typename T>
	inline decltype(auto) getData(const ID & data_name, Element element) const;

	template <typename T>
	inline decltype(auto) getData(const ID & data_name, Element element);

	template <typename T>
	auto getNbDataPerElem(ElementTypeMapArray<T> & array) -> ElementTypeMap<Int>;

	template <typename T>
	std::shared_ptr<dumpers::Field>
	createFieldFromAttachedData(const std::string & field_id,
	const std::string & group_name,
	ElementKind element_kind);

	/// templated getter returning the pointer to data in MeshData (modifiable)
	template <typename T>
	inline decltype(auto)
	getDataPointer(const std::string & data_name, ElementType el_type,
	GhostType ghost_type = _not_ghost, Int nb_component = 1,
	bool size_to_nb_element = true,
	bool resize_with_parent = false);

	template <typename T>
	inline decltype(auto)
	getDataPointer(const ID & data_name, ElementType el_type,
	GhostType ghost_type, Int nb_component,
	bool size_to_nb_element, bool resize_with_parent,
	const T & defaul_);

	/// Facets mesh accessor
	inline auto getMeshFacets() const -> const Mesh &;
	inline auto getMeshFacets() -> Mesh &;

	inline auto hasMeshFacets() const { return mesh_facets != nullptr; }

	/// Parent mesh accessor
	inline auto getMeshParent() const -> const Mesh &;

	inline auto isMeshFacets() const { return this->is_mesh_facets; }

	/// return the dumper from a group and and a dumper name
	auto getGroupDumper(const std::string & dumper_name,
	const std::string & group_name) -> DumperIOHelper &;

	/* ------------------------------------------------------------------------ */
	/* Wrappers on ElementClass functions */
	/* ------------------------------------------------------------------------ */
	public:
	/// get the number of nodes per element for a given element type
	static inline constexpr auto getNbNodesPerElement(ElementType type) -> Int;

	/// get the number of nodes per element for a given element type considered as
	/// a first order element
	static inline constexpr auto getP1ElementType(ElementType type)
	-> ElementType;

	/// get the kind of the element type
	static inline constexpr auto getKind(ElementType type) -> ElementKind;

	/// get spatial dimension of a type of element
	static inline constexpr auto getSpatialDimension(ElementType type) -> Int;

	/// get the natural space dimension of a type of element
	static inline constexpr auto getNaturalSpaceDimension(ElementType type)
	-> Int;

	/// get number of facets of a given element type
	static inline constexpr auto getNbFacetsPerElement(ElementType type) -> Int;

	/// get number of facets of a given element type
	static inline constexpr auto getNbFacetsPerElement(ElementType type, Idx t)
	-> Int;

	/// get local connectivity of a facet for a given facet type
	static inline decltype(auto) getFacetLocalConnectivity(ElementType type,
	Idx t = 0);

	/// get connectivity of facets for a given element
	inline auto getFacetConnectivity(const Element & element, Idx t = 0) const
	-> Matrix<Idx>;

	/// get the number of type of the surface element associated to a given
	/// element type
	static inline constexpr auto getNbFacetTypes(ElementType type, Idx t = 0)
	-> Int;

	/// get the type of the surface element associated to a given element
	static inline constexpr auto getFacetType(ElementType type, Idx t = 0)
	-> ElementType;

	/// get all the type of the surface element associated to a given element
	static inline decltype(auto) getAllFacetTypes(ElementType type);

	/// get the number of nodes in the given element list
	static inline auto getNbNodesPerElementList(const Array<Element> & elements)
	-> Int;

	/* ------------------------------------------------------------------------ */
	/* Element type Iterator */
	/* ------------------------------------------------------------------------ */
	using ElementTypesIteratorHelper =
	ElementTypeMapArray<Idx, ElementType>::ElementTypesIteratorHelper;

	template <typename... pack>
	auto elementTypes(pack &&... _pack) const -> ElementTypesIteratorHelper;

	AKANTU_GET_MACRO_DEREF_PTR(ElementSynchronizer, element_synchronizer);
	AKANTU_GET_MACRO_DEREF_PTR_NOT_CONST(ElementSynchronizer,
	element_synchronizer);
	AKANTU_GET_MACRO_DEREF_PTR(NodeSynchronizer, node_synchronizer);
	AKANTU_GET_MACRO_DEREF_PTR_NOT_CONST(NodeSynchronizer, node_synchronizer);
	AKANTU_GET_MACRO_DEREF_PTR(PeriodicNodeSynchronizer,
	periodic_node_synchronizer);
	AKANTU_GET_MACRO_DEREF_PTR_NOT_CONST(PeriodicNodeSynchronizer,
	periodic_node_synchronizer);

	// AKANTU_GET_MACRO_NOT_CONST(Communicator, *communicator, StaticCommunicator
	// &);
	AKANTU_GET_MACRO_DEREF_PTR(Communicator, communicator);
	AKANTU_GET_MACRO_DEREF_PTR_NOT_CONST(Communicator, communicator);
	AKANTU_GET_MACRO_AUTO(PeriodicMasterSlaves, periodic_master_slave);

	/* ------------------------------------------------------------------------ */
	/* Private methods for friends */
	/* ------------------------------------------------------------------------ */
	private:
	friend class MeshAccessor;
	friend class MeshUtils;

	AKANTU_GET_MACRO_DEREF_PTR_NOT_CONST(NodesPointer, nodes);

	/// get a pointer to the nodes_global_ids Array<UInt> and create it if
	/// necessary
	inline auto getNodesGlobalIdsPointer() -> Array<Idx> &;

	/// get a pointer to the nodes_type Array<Int> and create it if necessary
	inline auto getNodesFlagsPointer() -> Array<NodeFlag> &;

	/// get a pointer to the connectivity Array for the given type and create it
	/// if necessary
	inline auto getConnectivityPointer(ElementType type,
	GhostType ghost_type = _not_ghost)
	-> Array<Idx> &;

	/// get the ghost element counter
	inline auto getGhostsCounters(ElementType type, GhostType ghost_type = _ghost)
	-> Array<Idx> & {
	AKANTU_DEBUG_ASSERT(ghost_type != _not_ghost,
	"No ghost counter for _not_ghost elements");
	return ghosts_counters(type, ghost_type);
	}

	/// get a pointer to the element_to_subelement Array for the given type and
	/// create it if necessary
	inline decltype(auto)
	getElementToSubelementPointer(ElementType type,
	GhostType ghost_type = _not_ghost);

	/// get a pointer to the subelement_to_element Array for the given type and
	/// create it if necessary
	inline decltype(auto)
	getSubelementToElementPointer(ElementType type,
	GhostType ghost_type = _not_ghost);

	/* ------------------------------------------------------------------------ */
	/* Class Members */
	/* ------------------------------------------------------------------------ */
	private:
	ID id;

	/// array of the nodes coordinates
	std::shared_ptr<Array<Real>> nodes;

	/// global node ids
	std::shared_ptr<Array<Idx>> nodes_global_ids;

	/// node flags (shared/periodic/...)
	std::shared_ptr<Array<NodeFlag>> nodes_flags;

	/// processor handling the node when not local or master
	std::unordered_map<Idx, Int> nodes_prank;

	/// global number of nodes;
	Int nb_global_nodes{0};

	/// all class of elements present in this mesh (for heterogenous meshes)
	ElementTypeMapArray<Idx> connectivities;

	/// count the references on ghost elements
	ElementTypeMapArray<Idx> ghosts_counters;

	/// the spatial dimension of this mesh
	Idx spatial_dimension{0};

	/// size covered by the mesh on each direction
	Vector<Real> size;

	/// global bounding box
	BBox bbox;

	/// local bounding box
	BBox bbox_local;

	/// Extra data loaded from the mesh file
	// MeshData mesh_data;

	/// facets' mesh
	std::unique_ptr<Mesh> mesh_facets;

	/// parent mesh (this is set for mesh_facets meshes)
	const Mesh * mesh_parent{nullptr};

	/// defines if current mesh is mesh_facets or not
	bool is_mesh_facets{false};

	/// defines if the mesh is centralized or distributed
	bool is_distributed{false};

	/// defines if the mesh is periodic
	bool is_periodic{false};

	/// Communicator on which mesh is distributed
	Communicator * communicator;

	/// Element synchronizer
	std::unique_ptr<ElementSynchronizer> element_synchronizer;

	/// Node synchronizer
	std::unique_ptr<NodeSynchronizer> node_synchronizer;

	/// Node synchronizer for periodic nodes
	std::unique_ptr<PeriodicNodeSynchronizer> periodic_node_synchronizer;

	using NodesToElements = std::vector<std::unique_ptr<std::set<Element>>>;

	/// class to update global data using external knowledge
	std::unique_ptr<MeshGlobalDataUpdater> global_data_updater;

	/// This info is stored to simplify the dynamic changes
	NodesToElements nodes_to_elements;

	/// periodicity local info
	std::unordered_map<Idx, Idx> periodic_slave_master;
	std::unordered_multimap<Idx, Idx> periodic_master_slave;
	};

	/// standard output stream operator
	inline std::ostream & operator<<(std::ostream & stream, const Mesh & _this) {
	_this.printself(stream);
	return stream;
	}

	/* -------------------------------------------------------------------------- */
	inline constexpr auto Mesh::getNbNodesPerElement(ElementType type) -> Int {
	return tuple_dispatch_with_default<AllElementTypes>(
	[](auto && enum_type) {
	constexpr ElementType type = aka::decay_v<decltype(enum_type)>;
	return ElementClass<type>::getNbNodesPerElement();
	},
	[](auto && /type/) { return 0; }, type);
	}

	/* -------------------------------------------------------------------------- */
	inline auto Mesh::getNbElement(ElementType type, GhostType ghost_type) const {
	try {
	const auto & conn = connectivities(type, ghost_type);
	return conn.size();
	} catch (...) {
	return 0;
	}
	}

	/* -------------------------------------------------------------------------- */
	inline auto Mesh::getNbElement(const Int spatial_dimension,
	GhostType ghost_type, ElementKind kind) const {
	AKANTU_DEBUG_ASSERT(spatial_dimension <= 3 \|\| spatial_dimension == Int(-1),
	"spatial_dimension is " << spatial_dimension
	<< " and is greater than 3 !");
	Int nb_element = 0;

	for (auto type : elementTypes(spatial_dimension, ghost_type, kind)) {
	nb_element += getNbElement(type, ghost_type);
	}

	return nb_element;
	}
	/* -------------------------------------------------------------------------- */

	} // namespace akantu

	/* -------------------------------------------------------------------------- */
	/* Inline functions */
	/* -------------------------------------------------------------------------- */
	#include "element_type_map_tmpl.hh"
	#include "mesh_inline_impl.hh"

	/* -------------------------------------------------------------------------- */
	#include "element_group.hh"
	#include "node_group.hh"
	/* -------------------------------------------------------------------------- */

	#endif /* AKANTU_MESH_HH_ */

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