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element_type_map_tmpl.hh
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			/**
			* @file element_type_map_tmpl.hh
			*
			* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
			* @author Lucas Frerot <lucas.frerot@epfl.ch>
			* @author Nicolas Richart <nicolas.richart@epfl.ch>
			*
			* @date creation: Wed Aug 31 2011
			* @date last modification: Thu Mar 11 2021
			*
			* @brief implementation of template functions of the ElementTypeMap and
			* ElementTypeMapArray classes
			*
			*
			* @section LICENSE
			*
			* Copyright (©) 2010-2021 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 "aka_static_if.hh"
			#include "element_type_map.hh"
			#include "mesh.hh"
			/* -------------------------------------------------------------------------- */
			#include "element_type_conversion.hh"
			/* -------------------------------------------------------------------------- */
			#include <functional>
			/* -------------------------------------------------------------------------- */

			#ifndef AKANTU_ELEMENT_TYPE_MAP_TMPL_HH_
			#define AKANTU_ELEMENT_TYPE_MAP_TMPL_HH_

			namespace akantu {

			/* -------------------------------------------------------------------------- */
			/* ElementTypeMap */
			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline std::string
			ElementTypeMap<Stored, SupportType>::printType(const SupportType & type,
			GhostType ghost_type) {
			std::stringstream sstr;
			sstr << "(" << ghost_type << ":" << type << ")";
			return sstr.str();
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline bool
			ElementTypeMap<Stored, SupportType>::exists(const SupportType & type,
			GhostType ghost_type) const {
			return this->getData(ghost_type).find(type) !=
			this->getData(ghost_type).end();
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline const Stored &
			ElementTypeMap<Stored, SupportType>::operator()(const SupportType & type,
			GhostType ghost_type) const {
			auto it = this->getData(ghost_type).find(type);

			if (it == this->getData(ghost_type).end()) {
			AKANTU_SILENT_EXCEPTION("No element of type "
			<< ElementTypeMap::printType(type, ghost_type)
			<< " in this ElementTypeMap<"
			<< debug::demangle(typeid(Stored).name())
			<< "> class");
			}
			return it->second;
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline Stored &
			ElementTypeMap<Stored, SupportType>::operator()(const SupportType & type,
			GhostType ghost_type) {
			return this->getData(ghost_type)[type];
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			template <typename U>
			inline Stored & ElementTypeMap<Stored, SupportType>::operator()(
			U && insertee, const SupportType & type, GhostType ghost_type) {
			auto it = this->getData(ghost_type).find(type);

			if (it != this->getData(ghost_type).end()) {
			AKANTU_SILENT_EXCEPTION("Element of type "
			<< ElementTypeMap::printType(type, ghost_type)
			<< " already in this ElementTypeMap<"
			<< debug::demangle(typeid(Stored).name())
			<< "> class");
			} else {
			auto & data = this->getData(ghost_type);
			const auto & res =
			data.insert(std::make_pair(type, std::forward<U>(insertee)));
			it = res.first;
			}

			return it->second;
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline typename ElementTypeMap<Stored, SupportType>::DataMap &
			ElementTypeMap<Stored, SupportType>::getData(GhostType ghost_type) {
			if (ghost_type == _not_ghost) {
			return data;
			}

			return ghost_data;
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline const typename ElementTypeMap<Stored, SupportType>::DataMap &
			ElementTypeMap<Stored, SupportType>::getData(GhostType ghost_type) const {
			if (ghost_type == _not_ghost) {
			return data;
			}

			return ghost_data;
			}

			/* -------------------------------------------------------------------------- */
			/// Works only if stored is a pointer to a class with a printself method
			template <class Stored, typename SupportType>
			void ElementTypeMap<Stored, SupportType>::printself(std::ostream & stream,
			int indent) const {
			std::string space(indent, AKANTU_INDENT);

			stream << space << "ElementTypeMap<" << debug::demangle(typeid(Stored).name())
			<< "> [" << std::endl;
			for (auto && gt : ghost_types) {
			const DataMap & data = getData(gt);
			for (auto & pair : data) {
			stream << space << space << ElementTypeMap::printType(pair.first, gt)
			<< std::endl;
			}
			}

			stream << space << "]" << std::endl;
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			ElementTypeMap<Stored, SupportType>::ElementTypeMap() = default;

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			ElementTypeMap<Stored, SupportType>::~ElementTypeMap() = default;

			/* -------------------------------------------------------------------------- */
			/* ElementTypeMapArray */
			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			void ElementTypeMapArray<T, SupportType>::copy(
			const ElementTypeMapArray & other) {
			for (auto ghost_type : ghost_types) {
			for (auto type :
			this->elementTypes(_all_dimensions, ghost_type, _ek_not_defined)) {
			const auto & array_to_copy = other(type, ghost_type);
			auto & array =
			this->alloc(0, array_to_copy.getNbComponent(), type, ghost_type);
			array.copy(array_to_copy);
			}
			}
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			ElementTypeMapArray<T, SupportType>::ElementTypeMapArray(
			const ElementTypeMapArray & other)
			: parent(), id(other.id + "_copy"), name(other.name + "_copy") {
			this->copy(other);
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			inline Array<T> & ElementTypeMapArray<T, SupportType>::alloc(
			UInt size, UInt nb_component, const SupportType & type,
			GhostType ghost_type, const T & default_value) {
			std::string ghost_id;
			if (ghost_type == _ghost) {
			ghost_id = ":ghost";
			}

			auto it = this->getData(ghost_type).find(type);

			if (it == this->getData(ghost_type).end()) {
			auto id = this->id + ":" + std::to_string(type) + ghost_id;

			this->getData(ghost_type)[type] =
			std::make_unique<Array<T>>(size, nb_component, default_value, id);
			return *(this->getData(ghost_type)[type]);
			}

			AKANTU_DEBUG_INFO("The vector "
			<< this->id << this->printType(type, ghost_type)
			<< " already exists, it is resized instead of allocated.");
			auto && array = *(it->second);
			array.resize(size);
			return array;
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			inline void
			ElementTypeMapArray<T, SupportType>::alloc(UInt size, UInt nb_component,
			const SupportType & type,
			const T & default_value) {
			this->alloc(size, nb_component, type, _not_ghost, default_value);
			this->alloc(size, nb_component, type, _ghost, default_value);
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			inline void ElementTypeMapArray<T, SupportType>::free() {
			AKANTU_DEBUG_IN();

			for (auto gt : ghost_types) {
			auto & data = this->getData(gt);
			data.clear();
			}

			AKANTU_DEBUG_OUT();
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			inline void ElementTypeMapArray<T, SupportType>::clear() {
			for (auto gt : ghost_types) {
			auto & data = this->getData(gt);
			for (auto & vect : data) {
			vect.second->clear();
			}
			}
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			inline bool ElementTypeMapArray<T, SupportType>::empty() const {
			bool is_empty = true;
			for (auto gt : ghost_types) {
			auto & data = this->getData(gt);
			for (auto & vect : data) {
			is_empty &= vect.second->empty();
			if (not is_empty) {
			return false;
			}
			}
			}
			return is_empty;
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			template <typename ST>
			inline void ElementTypeMapArray<T, SupportType>::set(const ST & value) {
			for (auto gt : ghost_types) {
			auto & data = this->getData(gt);
			for (auto & vect : data) {
			vect.second->set(value);
			}
			}
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			inline const Array<T> &
			ElementTypeMapArray<T, SupportType>::operator()(const SupportType & type,
			GhostType ghost_type) const {
			auto it = this->getData(ghost_type).find(type);

			if (it == this->getData(ghost_type).end()) {
			AKANTU_SILENT_EXCEPTION("No element of type "
			<< ElementTypeMapArray::printType(type, ghost_type)
			<< " in this const ElementTypeMapArray<"
			<< debug::demangle(typeid(T).name()) << "> class(\""
			<< this->id << "\")");
			}
			return *(it->second);
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			inline Array<T> &
			ElementTypeMapArray<T, SupportType>::operator()(const SupportType & type,
			GhostType ghost_type) {
			auto it = this->getData(ghost_type).find(type);

			if (it == this->getData(ghost_type).end()) {
			AKANTU_SILENT_EXCEPTION("No element of type "
			<< ElementTypeMapArray::printType(type, ghost_type)
			<< " in this ElementTypeMapArray<"
			<< debug::demangle(typeid(T).name())
			<< "> class (\"" << this->id << "\")");
			}

			return *(it->second);
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			inline void ElementTypeMapArray<T, SupportType>::setArray(
			const SupportType & type, GhostType ghost_type, const Array<T> & vect) {
			auto it = this->getData(ghost_type).find(type);

			if (AKANTU_DEBUG_TEST(dblWarning) && it != this->getData(ghost_type).end() &&
			it->second != &vect) {
			AKANTU_DEBUG_WARNING(
			"The Array "
			<< this->printType(type, ghost_type)
			<< " is already registred, this call can lead to a memory leak.");
			}

			this->getData(ghost_type)[type] = &(const_cast<Array<T> &>(vect));
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			inline void ElementTypeMapArray<T, SupportType>::onElementsRemoved(
			const ElementTypeMapArray<UInt> & new_numbering) {
			for (auto gt : ghost_types) {
			for (auto && type :
			new_numbering.elementTypes(_all_dimensions, gt, _ek_not_defined)) {
			auto support_type = convertType<ElementType, SupportType>(type);
			if (this->exists(support_type, gt)) {
			const auto & renumbering = new_numbering(type, gt);
			if (renumbering.empty()) {
			continue;
			}

			auto & vect = this->operator()(support_type, gt);
			auto nb_component = vect.getNbComponent();
			Array<T> tmp(renumbering.size(), nb_component);
			UInt new_size = 0;

			for (UInt i = 0; i < vect.size(); ++i) {
			UInt new_i = renumbering(i);
			if (new_i != UInt(-1)) {
			std::copy_n(vect.storage() + i * nb_component, nb_component,
			tmp.storage() + new_i * nb_component);
			++new_size;
			}
			}
			tmp.resize(new_size);
			vect.copy(tmp);
			}
			}
			}
			}

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			void ElementTypeMapArray<T, SupportType>::printself(std::ostream & stream,
			int indent) const {
			std::string space(indent, AKANTU_INDENT);

			stream << space << "ElementTypeMapArray<" << debug::demangle(typeid(T).name())
			<< "> [" << std::endl;
			for (UInt g = _not_ghost; g <= _ghost; ++g) {
			auto gt = (GhostType)g;

			const DataMap & data = this->getData(gt);
			typename DataMap::const_iterator it;
			for (it = data.begin(); it != data.end(); ++it) {
			stream << space << space << ElementTypeMapArray::printType(it->first, gt)
			<< " [" << std::endl;
			it->second->printself(stream, indent + 3);
			stream << space << space << " ]" << std::endl;
			}
			}
			stream << space << "]" << std::endl;
			}

			/* -------------------------------------------------------------------------- */
			/* SupportType Iterator */
			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			ElementTypeMap<Stored, SupportType>::type_iterator::type_iterator(
			DataMapIterator & list_begin, DataMapIterator & list_end, UInt dim,
			ElementKind ek)
			: list_begin(list_begin), list_end(list_end), dim(dim), kind(ek) {}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			ElementTypeMap<Stored, SupportType>::type_iterator::type_iterator(
			const type_iterator & it)
			: list_begin(it.list_begin), list_end(it.list_end), dim(it.dim),
			kind(it.kind) {}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			typename ElementTypeMap<Stored, SupportType>::type_iterator &
			ElementTypeMap<Stored, SupportType>::type_iterator::operator=(
			const type_iterator & it) {
			if (this != &it) {
			list_begin = it.list_begin;
			list_end = it.list_end;
			dim = it.dim;
			kind = it.kind;
			}
			return *this;
			}
			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline typename ElementTypeMap<Stored, SupportType>::type_iterator::reference
			ElementTypeMap<Stored, SupportType>::type_iterator::operator*() {
			return list_begin->first;
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline typename ElementTypeMap<Stored, SupportType>::type_iterator::reference
			ElementTypeMap<Stored, SupportType>::type_iterator::operator*() const {
			return list_begin->first;
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline typename ElementTypeMap<Stored, SupportType>::type_iterator &
			ElementTypeMap<Stored, SupportType>::type_iterator::operator++() {
			++list_begin;
			while ((list_begin != list_end) &&
			(((dim != _all_dimensions) &&
			(dim != Mesh::getSpatialDimension(list_begin->first))) \|\|
			((kind != _ek_not_defined) &&
			(kind != Mesh::getKind(list_begin->first))))) {
			++list_begin;
			}
			return *this;
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			typename ElementTypeMap<Stored, SupportType>::type_iterator
			ElementTypeMap<Stored, SupportType>::type_iterator::operator++(int) {
			type_iterator tmp(*this);
			operator++();
			return tmp;
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline bool ElementTypeMap<Stored, SupportType>::type_iterator::operator==(
			const type_iterator & other) const {
			return this->list_begin == other.list_begin;
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline bool ElementTypeMap<Stored, SupportType>::type_iterator::operator!=(
			const type_iterator & other) const {
			return this->list_begin != other.list_begin;
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			auto ElementTypeMap<Stored, SupportType>::ElementTypesIteratorHelper::begin()
			-> iterator {
			auto b = container.get().getData(ghost_type).begin();
			auto e = container.get().getData(ghost_type).end();

			// loop until the first valid type
			while ((b != e) &&
			(((dim != _all_dimensions) &&
			(dim != Mesh::getSpatialDimension(b->first))) \|\|
			((kind != _ek_not_defined) && (kind != Mesh::getKind(b->first))))) {
			++b;
			}

			return iterator(b, e, dim, kind);
			}

			template <class Stored, typename SupportType>
			auto ElementTypeMap<Stored, SupportType>::ElementTypesIteratorHelper::end()
			-> iterator {
			auto e = container.get().getData(ghost_type).end();
			return iterator(e, e, dim, kind);
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			auto ElementTypeMap<Stored, SupportType>::elementTypesImpl(
			UInt dim, GhostType ghost_type, ElementKind kind) const
			-> ElementTypesIteratorHelper {
			return ElementTypesIteratorHelper(*this, dim, ghost_type, kind);
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			template <typename... pack>
			auto ElementTypeMap<Stored, SupportType>::elementTypesImpl(
			const use_named_args_t & unused, pack &&... _pack) const
			-> ElementTypesIteratorHelper {
			return ElementTypesIteratorHelper(*this, unused, _pack...);
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline auto ElementTypeMap<Stored, SupportType>::firstType(
			UInt dim, GhostType ghost_type, ElementKind kind) const -> type_iterator {
			return elementTypes(dim, ghost_type, kind).begin();
			}

			/* -------------------------------------------------------------------------- */
			template <class Stored, typename SupportType>
			inline auto ElementTypeMap<Stored, SupportType>::lastType(
			UInt dim, GhostType ghost_type, ElementKind kind) const -> type_iterator {
			typename DataMap::const_iterator e;
			e = getData(ghost_type).end();
			return typename ElementTypeMap<Stored, SupportType>::type_iterator(e, e, dim,
			kind);
			}

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

			/// standard output stream operator
			template <class Stored, typename SupportType>
			inline std::ostream &
			operator<<(std::ostream & stream,
			const ElementTypeMap<Stored, SupportType> & _this) {
			_this.printself(stream);
			return stream;
			}

			/* -------------------------------------------------------------------------- */
			class ElementTypeMapArrayInitializer {
			protected:
			using CompFunc = std::function<UInt(ElementType, GhostType)>;

			public:
			ElementTypeMapArrayInitializer(const CompFunc & comp_func,
			UInt spatial_dimension = _all_dimensions,
			GhostType ghost_type = _not_ghost,
			ElementKind element_kind = _ek_not_defined)
			: comp_func(comp_func), spatial_dimension(spatial_dimension),
			ghost_type(ghost_type), element_kind(element_kind) {}

			GhostType ghostType() const { return ghost_type; }

			virtual UInt nbComponent(ElementType type) const {
			return comp_func(type, ghostType());
			}

			virtual bool isNodal() const { return false; }

			protected:
			CompFunc comp_func;
			UInt spatial_dimension;
			GhostType ghost_type;
			ElementKind element_kind;
			};

			/* -------------------------------------------------------------------------- */
			class MeshElementTypeMapArrayInitializer
			: public ElementTypeMapArrayInitializer {
			using CompFunc = ElementTypeMapArrayInitializer::CompFunc;

			public:
			MeshElementTypeMapArrayInitializer(
			const Mesh & mesh, UInt nb_component = 1,
			UInt spatial_dimension = _all_dimensions,
			GhostType ghost_type = _not_ghost,
			ElementKind element_kind = _ek_not_defined, bool with_nb_element = false,
			bool with_nb_nodes_per_element = false,
			const ElementTypeMapArray<UInt> * filter = nullptr)
			: MeshElementTypeMapArrayInitializer(
			mesh,
			[nb_component](ElementType /unused/, GhostType /unused/)
			-> UInt { return nb_component; },
			spatial_dimension, ghost_type, element_kind, with_nb_element,
			with_nb_nodes_per_element, filter) {}

			MeshElementTypeMapArrayInitializer(
			const Mesh & mesh, const CompFunc & comp_func,
			UInt spatial_dimension = _all_dimensions,
			GhostType ghost_type = _not_ghost,
			ElementKind element_kind = _ek_not_defined, bool with_nb_element = false,
			bool with_nb_nodes_per_element = false,
			const ElementTypeMapArray<UInt> * filter = nullptr)
			: ElementTypeMapArrayInitializer(comp_func, spatial_dimension, ghost_type,
			element_kind),
			mesh(mesh), with_nb_element(with_nb_element),
			with_nb_nodes_per_element(with_nb_nodes_per_element), filter(filter) {}

			decltype(auto) elementTypes() const {
			if (filter != nullptr) {
			return filter->elementTypes(this->spatial_dimension, this->ghost_type,
			this->element_kind);
			}
			return mesh.elementTypes(this->spatial_dimension, this->ghost_type,
			this->element_kind);
			}

			virtual UInt size(ElementType type) const {
			if (with_nb_element) {
			if (filter != nullptr) {
			return (*filter)(type, this->ghost_type).size();
			}
			return mesh.getNbElement(type, this->ghost_type);
			}

			return 0;
			}

			UInt nbComponent(ElementType type) const override {
			UInt res = ElementTypeMapArrayInitializer::nbComponent(type);
			if (with_nb_nodes_per_element) {
			return (res * Mesh::getNbNodesPerElement(type));
			}

			return res;
			}

			bool isNodal() const override { return with_nb_nodes_per_element; }

			protected:
			const Mesh & mesh;
			bool with_nb_element{false};
			bool with_nb_nodes_per_element{false};
			const ElementTypeMapArray<UInt> * filter{nullptr};
			};

			/* -------------------------------------------------------------------------- */
			class FEEngineElementTypeMapArrayInitializer
			: public MeshElementTypeMapArrayInitializer {
			public:
			FEEngineElementTypeMapArrayInitializer(
			const FEEngine & fe_engine, UInt nb_component = 1,
			UInt spatial_dimension = _all_dimensions,
			GhostType ghost_type = _not_ghost,
			ElementKind element_kind = _ek_not_defined);

			FEEngineElementTypeMapArrayInitializer(
			const FEEngine & fe_engine,
			const ElementTypeMapArrayInitializer::CompFunc & nb_component,
			UInt spatial_dimension = _all_dimensions,
			GhostType ghost_type = _not_ghost,
			ElementKind element_kind = _ek_not_defined);

			UInt size(ElementType type) const override;

			using ElementTypesIteratorHelper =
			ElementTypeMapArray<Real, ElementType>::ElementTypesIteratorHelper;

			ElementTypesIteratorHelper elementTypes() const;

			protected:
			const FEEngine & fe_engine;
			};

			/* -------------------------------------------------------------------------- */
			template <typename T, typename SupportType>
			template <class Func>
			void ElementTypeMapArray<T, SupportType>::initialize(const Func & f,
			const T & default_value,
			bool do_not_default) {
			this->is_nodal = f.isNodal();
			auto ghost_type = f.ghostType();
			for (auto & type : f.elementTypes()) {
			if (not this->exists(type, ghost_type)) {
			if (do_not_default) {
			auto & array = this->alloc(0, f.nbComponent(type), type, ghost_type);
			array.resize(f.size(type));
			} else {
			this->alloc(f.size(type), f.nbComponent(type), type, ghost_type,
			default_value);
			}
			} else {
			auto & array = this->operator()(type, ghost_type);
			if (not do_not_default) {
			array.resize(f.size(type), default_value);
			} else {
			array.resize(f.size(type));
			}
			}
			}
			}

			/* -------------------------------------------------------------------------- */
			/**
			* All parameters are named optionals
			* \param _nb_component a functor giving the number of components per
			* (ElementType, GhostType) pair or a scalar giving a unique number of
			* components
			* regardless of type
			* \param _spatial_dimension a filter for the elements of a specific dimension
			* \param _element_kind filter with element kind (_ek_regular, _ek_structural,
			* ...)
			* \param _with_nb_element allocate the arrays with the number of elements for
			* each
			* type in the mesh
			* \param _with_nb_nodes_per_element multiply the number of components by the
			* number of nodes per element
			* \param _default_value default inital value
			* \param _do_not_default do not initialize the allocated arrays
			* \param _ghost_type filter a type of ghost
			*/
			template <typename T, typename SupportType>
			template <typename... pack>
			void ElementTypeMapArray<T, SupportType>::initialize(const Mesh & mesh,
			pack &&... _pack) {
			GhostType requested_ghost_type = OPTIONAL_NAMED_ARG(ghost_type, _casper);
			bool all_ghost_types =
			OPTIONAL_NAMED_ARG(all_ghost_types, requested_ghost_type == _casper);

			for (GhostType ghost_type : ghost_types) {
			if ((not(ghost_type == requested_ghost_type)) and (not all_ghost_types)) {
			continue;
			}

			auto functor = MeshElementTypeMapArrayInitializer(
			mesh, OPTIONAL_NAMED_ARG(nb_component, 1),
			OPTIONAL_NAMED_ARG(spatial_dimension, mesh.getSpatialDimension()),
			ghost_type, OPTIONAL_NAMED_ARG(element_kind, _ek_not_defined),
			OPTIONAL_NAMED_ARG(with_nb_element, false),
			OPTIONAL_NAMED_ARG(with_nb_nodes_per_element, false),
			OPTIONAL_NAMED_ARG(element_filter, nullptr));

			this->initialize(functor, OPTIONAL_NAMED_ARG(default_value, T()),
			OPTIONAL_NAMED_ARG(do_not_default, false));
			}
			}

			/* -------------------------------------------------------------------------- */
			/**
			* All parameters are named optionals
			* \param _nb_component a functor giving the number of components per
			* (ElementType, GhostType) pair or a scalar giving a unique number of
			* components
			* regardless of type
			* \param _spatial_dimension a filter for the elements of a specific dimension
			* \param _element_kind filter with element kind (_ek_regular, _ek_structural,
			* ...)
			* \param _default_value default inital value
			* \param _do_not_default do not initialize the allocated arrays
			* \param _ghost_type filter a specific ghost type
			* \param _all_ghost_types get all ghost types
			*/
			template <typename T, typename SupportType>
			template <typename... pack>
			void ElementTypeMapArray<T, SupportType>::initialize(const FEEngine & fe_engine,
			pack &&... _pack) {
			GhostType requested_ghost_type = OPTIONAL_NAMED_ARG(ghost_type, _casper);
			bool all_ghost_types =
			OPTIONAL_NAMED_ARG(all_ghost_types, requested_ghost_type == _casper);

			for (auto ghost_type : ghost_types) {
			if ((not(ghost_type == requested_ghost_type)) and (not all_ghost_types)) {
			continue;
			}

			auto functor = FEEngineElementTypeMapArrayInitializer(
			fe_engine, OPTIONAL_NAMED_ARG(nb_component, 1),
			OPTIONAL_NAMED_ARG(spatial_dimension, UInt(-2)), ghost_type,
			OPTIONAL_NAMED_ARG(element_kind, _ek_not_defined));

			this->initialize(functor, OPTIONAL_NAMED_ARG(default_value, T()),
			OPTIONAL_NAMED_ARG(do_not_default, false));
			}
			}

			/* -------------------------------------------------------------------------- */
			template <class T, typename SupportType>
			inline T &
			ElementTypeMapArray<T, SupportType>::operator()(const Element & element,
			UInt component) {
			return this->operator()(element.type, element.ghost_type)(element.element,
			component);
			}

			/* -------------------------------------------------------------------------- */
			template <class T, typename SupportType>
			inline const T &
			ElementTypeMapArray<T, SupportType>::operator()(const Element & element,
			UInt component) const {
			return this->operator()(element.type, element.ghost_type)(element.element,
			component);
			}

			/* -------------------------------------------------------------------------- */
			template <class T, typename SupportType>
			inline decltype(auto)
			ElementTypeMapArray<T, SupportType>::get(const Element & element) {
			auto & array = operator()(element.type, element.ghost_type);
			auto it = array.begin(array.getNbComponent());
			return it[element.element];
			}

			/* -------------------------------------------------------------------------- */
			template <class T, typename SupportType>
			inline decltype(auto)
			ElementTypeMapArray<T, SupportType>::get(const Element & element) const {
			auto & array = operator()(element.type, element.ghost_type);
			auto it = array.begin(array.getNbComponent());
			return it[element.element];
			}

			/* -------------------------------------------------------------------------- */
			template <class T, typename SupportType>
			UInt ElementTypeMapArray<T, SupportType>::sizeImpl(UInt spatial_dimension,
			GhostType ghost_type,
			ElementKind kind) const {
			UInt size = 0;
			for (auto && type : this->elementTypes(spatial_dimension, ghost_type, kind)) {
			size += this->operator()(type, ghost_type).size();
			}
			return size;
			}

			/* -------------------------------------------------------------------------- */
			template <class T, typename SupportType>
			template <typename... pack>
			UInt ElementTypeMapArray<T, SupportType>::size(pack &&... _pack) const {
			UInt size = 0;
			GhostType requested_ghost_type = OPTIONAL_NAMED_ARG(ghost_type, _casper);
			bool all_ghost_types =
			OPTIONAL_NAMED_ARG(all_ghost_types, requested_ghost_type == _casper);

			for (auto ghost_type : ghost_types) {
			if ((not(ghost_type == requested_ghost_type)) and (not all_ghost_types)) {
			continue;
			}

			size +=
			sizeImpl(OPTIONAL_NAMED_ARG(spatial_dimension, _all_dimensions),
			ghost_type, OPTIONAL_NAMED_ARG(element_kind, _ek_not_defined));
			}
			return size;
			}

			} // namespace akantu

			#endif /* AKANTU_ELEMENT_TYPE_MAP_TMPL_HH_ */

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