mesh_inline_impl.hh
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Created: Fri, Nov 1, 18:50

mesh_inline_impl.hh
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	/**
	* @file mesh_inline_impl.hh
	*
	* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
	* @author Dana Christen <dana.christen@epfl.ch>
	* @author Nicolas Richart <nicolas.richart@epfl.ch>
	* @author Marco Vocialta <marco.vocialta@epfl.ch>
	*
	* @date creation: Thu Jul 15 2010
	* @date last modification: Mon Dec 18 2017
	*
	* @brief Implementation of the inline functions of the mesh class
	*
	*
	* Copyright (©) 2010-2018 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_iterators.hh"
	#include "element_class.hh"
	#include "mesh.hh"
	/* -------------------------------------------------------------------------- */

	#ifndef AKANTU_MESH_INLINE_IMPL_HH_
	#define AKANTU_MESH_INLINE_IMPL_HH_

	namespace akantu {

	/* -------------------------------------------------------------------------- */
	/* -------------------------------------------------------------------------- */
	inline ElementKind Element::kind() const { return Mesh::getKind(type); }

	/* -------------------------------------------------------------------------- */
	/* -------------------------------------------------------------------------- */
	template <typename... pack>
	Mesh::ElementTypesIteratorHelper Mesh::elementTypes(pack &&... _pack) const {
	return connectivities.elementTypes(_pack...);
	}

	/* -------------------------------------------------------------------------- */
	inline RemovedNodesEvent::RemovedNodesEvent(const Mesh & mesh,
	const std::string & origin)
	: MeshEvent<UInt>(origin),
	new_numbering(mesh.getNbNodes(), 1, "new_numbering") {}

	/* -------------------------------------------------------------------------- */
	inline RemovedElementsEvent::RemovedElementsEvent(const Mesh & mesh,
	const ID & new_numbering_id,
	const std::string & origin)
	: MeshEvent<Element>(origin),
	new_numbering(new_numbering_id, mesh.getID()) {}

	/* -------------------------------------------------------------------------- */
	template <>
	inline void Mesh::sendEvent<NewElementsEvent>(NewElementsEvent & event) {
	this->nodes_to_elements.resize(nodes->size());
	for (const auto & elem : event.getList()) {
	const Array<UInt> & conn = connectivities(elem.type, elem.ghost_type);

	UInt nb_nodes_per_elem = Mesh::getNbNodesPerElement(elem.type);

	for (UInt n = 0; n < nb_nodes_per_elem; ++n) {
	UInt node = conn(elem.element, n);
	if (not nodes_to_elements[node]) {
	nodes_to_elements[node] = std::make_unique<std::set<Element>>();
	}
	nodes_to_elements[node]->insert(elem);
	}
	}

	EventHandlerManager<MeshEventHandler>::sendEvent(event);
	}

	/* -------------------------------------------------------------------------- */
	template <> inline void Mesh::sendEvent<NewNodesEvent>(NewNodesEvent & event) {
	this->computeBoundingBox();
	this->nodes_flags->resize(this->nodes->size(), NodeFlag::_normal);
	EventHandlerManager<MeshEventHandler>::sendEvent(event);
	}

	/* -------------------------------------------------------------------------- */
	template <>
	inline void
	Mesh::sendEvent<RemovedElementsEvent>(RemovedElementsEvent & event) {
	this->connectivities.onElementsRemoved(event.getNewNumbering());
	this->fillNodesToElements();
	this->computeBoundingBox();

	EventHandlerManager<MeshEventHandler>::sendEvent(event);
	}

	/* -------------------------------------------------------------------------- */
	template <>
	inline void Mesh::sendEvent<RemovedNodesEvent>(RemovedNodesEvent & event) {
	const auto & new_numbering = event.getNewNumbering();
	this->removeNodesFromArray(*nodes, new_numbering);
	if (nodes_global_ids and not is_mesh_facets) {
	this->removeNodesFromArray(*nodes_global_ids, new_numbering);
	}
	if (not is_mesh_facets) {
	this->removeNodesFromArray(*nodes_flags, new_numbering);
	}

	if (not nodes_to_elements.empty()) {
	std::vector<std::unique_ptr<std::set<Element>>> tmp(
	nodes_to_elements.size());
	auto it = nodes_to_elements.begin();

	UInt new_nb_nodes = 0;
	for (auto new_i : new_numbering) {
	if (new_i != UInt(-1)) {
	tmp[new_i] = std::move(*it);
	++new_nb_nodes;
	}
	++it;
	}

	tmp.resize(new_nb_nodes);
	std::move(tmp.begin(), tmp.end(), nodes_to_elements.begin());
	}

	computeBoundingBox();

	EventHandlerManager<MeshEventHandler>::sendEvent(event);
	}

	/* -------------------------------------------------------------------------- */
	template <typename T>
	inline void Mesh::removeNodesFromArray(Array<T> & vect,
	const Array<UInt> & new_numbering) {
	Array<T> tmp(vect.size(), vect.getNbComponent());
	UInt nb_component = vect.getNbComponent();
	UInt new_nb_nodes = 0;
	for (UInt i = 0; i < new_numbering.size(); ++i) {
	UInt new_i = new_numbering(i);
	if (new_i != UInt(-1)) {
	T * to_copy = vect.storage() + i * nb_component;
	std::uninitialized_copy(to_copy, to_copy + nb_component,
	tmp.storage() + new_i * nb_component);
	++new_nb_nodes;
	}
	}

	tmp.resize(new_nb_nodes);
	vect.copy(tmp);
	}

	/* -------------------------------------------------------------------------- */
	inline Array<UInt> & Mesh::getNodesGlobalIdsPointer() {
	AKANTU_DEBUG_IN();
	if (not nodes_global_ids) {
	nodes_global_ids = std::make_shared<Array<UInt>>(
	nodes->size(), 1, getID() + ":nodes_global_ids");

	for (auto && global_ids : enumerate(*nodes_global_ids)) {
	std::get<1>(global_ids) = std::get<0>(global_ids);
	}
	}

	AKANTU_DEBUG_OUT();
	return *nodes_global_ids;
	}

	/* -------------------------------------------------------------------------- */
	inline Array<UInt> & Mesh::getConnectivityPointer(ElementType type,
	GhostType ghost_type) {
	if (connectivities.exists(type, ghost_type)) {
	return connectivities(type, ghost_type);
	}

	if (ghost_type != _not_ghost) {
	ghosts_counters.alloc(0, 1, type, ghost_type, 1);
	}

	AKANTU_DEBUG_INFO("The connectivity vector for the type " << type
	<< " created");

	UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
	return connectivities.alloc(0, nb_nodes_per_element, type, ghost_type);
	}

	/* -------------------------------------------------------------------------- */
	inline Array<std::vector<Element>> &
	Mesh::getElementToSubelementPointer(ElementType type, GhostType ghost_type) {
	return getDataPointer<std::vector<Element>>("element_to_subelement", type,
	ghost_type, 1, true);
	}

	/* -------------------------------------------------------------------------- */
	inline Array<Element> &
	Mesh::getSubelementToElementPointer(ElementType type, GhostType ghost_type) {
	auto & array = getDataPointer<Element>(
	"subelement_to_element", type, ghost_type, getNbFacetsPerElement(type),
	false, is_mesh_facets, ElementNull);
	return array;
	}

	/* -------------------------------------------------------------------------- */
	inline const auto & Mesh::getElementToSubelement() const {
	return getData<std::vector<Element>>("element_to_subelement");
	}

	/* -------------------------------------------------------------------------- */
	inline auto & Mesh::getElementToSubelementNC() {
	return getData<std::vector<Element>>("element_to_subelement");
	}

	/* -------------------------------------------------------------------------- */
	inline const auto & Mesh::getElementToSubelement(ElementType type,
	GhostType ghost_type) const {
	return getData<std::vector<Element>>("element_to_subelement", type,
	ghost_type);
	}

	/* -------------------------------------------------------------------------- */
	inline auto & Mesh::getElementToSubelementNC(ElementType type,
	GhostType ghost_type) {
	return getData<std::vector<Element>>("element_to_subelement", type,
	ghost_type);
	}

	/* -------------------------------------------------------------------------- */
	inline const auto &
	Mesh::getElementToSubelement(const Element & element) const {
	return getData<std::vector<Element>>("element_to_subelement")(element, 0);
	}

	/* -------------------------------------------------------------------------- */
	inline auto & Mesh::getElementToSubelementNC(const Element & element) {
	return getData<std::vector<Element>>("element_to_subelement")(element, 0);
	}

	/* -------------------------------------------------------------------------- */
	inline const auto & Mesh::getSubelementToElement() const {
	return getData<Element>("subelement_to_element");
	}

	/* -------------------------------------------------------------------------- */
	inline auto & Mesh::getSubelementToElementNC() {
	return getData<Element>("subelement_to_element");
	}

	/* -------------------------------------------------------------------------- */
	inline const auto & Mesh::getSubelementToElement(ElementType type,
	GhostType ghost_type) const {
	return getData<Element>("subelement_to_element", type, ghost_type);
	}

	/* -------------------------------------------------------------------------- */
	inline auto & Mesh::getSubelementToElementNC(ElementType type,
	GhostType ghost_type) {
	return getData<Element>("subelement_to_element", type, ghost_type);
	}

	/* -------------------------------------------------------------------------- */
	inline VectorProxy<Element>
	Mesh::getSubelementToElement(const Element & element) const {
	return this->getSubelementToElement().get(element);
	}

	/* -------------------------------------------------------------------------- */
	inline VectorProxy<Element>
	Mesh::getSubelementToElementNC(const Element & element) {
	return this->getSubelementToElement().get(element);
	}

	/* -------------------------------------------------------------------------- */
	template <typename T>
	inline Array<T> &
	Mesh::getDataPointer(const ID & data_name, ElementType el_type,
	GhostType ghost_type, UInt nb_component,
	bool size_to_nb_element, bool resize_with_parent) {
	Array<T> & tmp = this->getElementalDataArrayAlloc<T>(
	data_name, el_type, ghost_type, nb_component);

	if (size_to_nb_element) {
	if (resize_with_parent) {
	tmp.resize(mesh_parent->getNbElement(el_type, ghost_type));
	} else {
	tmp.resize(this->getNbElement(el_type, ghost_type));
	}
	}

	return tmp;
	}

	/* -------------------------------------------------------------------------- */
	template <typename T>
	inline Array<T> &
	Mesh::getDataPointer(const ID & data_name, ElementType el_type,
	GhostType ghost_type, UInt nb_component,
	bool size_to_nb_element, bool resize_with_parent,
	const T & defaul_) {
	Array<T> & tmp = this->getElementalDataArrayAlloc<T>(
	data_name, el_type, ghost_type, nb_component);

	if (size_to_nb_element) {
	if (resize_with_parent) {
	tmp.resize(mesh_parent->getNbElement(el_type, ghost_type), defaul_);
	} else {
	tmp.resize(this->getNbElement(el_type, ghost_type), defaul_);
	}
	}

	return tmp;
	}

	/* -------------------------------------------------------------------------- */
	template <typename T>
	inline const Array<T> & Mesh::getData(const ID & data_name, ElementType el_type,
	GhostType ghost_type) const {
	return this->getElementalDataArray<T>(data_name, el_type, ghost_type);
	}

	/* -------------------------------------------------------------------------- */
	template <typename T>
	inline Array<T> & Mesh::getData(const ID & data_name, ElementType el_type,
	GhostType ghost_type) {
	return this->getElementalDataArray<T>(data_name, el_type, ghost_type);
	}

	/* -------------------------------------------------------------------------- */
	template <typename T>
	inline const ElementTypeMapArray<T> &
	Mesh::getData(const ID & data_name) const {
	return this->getElementalData<T>(data_name);
	}

	/* -------------------------------------------------------------------------- */
	template <typename T>
	inline ElementTypeMapArray<T> & Mesh::getData(const ID & data_name) {
	return this->getElementalData<T>(data_name);
	}

	/* -------------------------------------------------------------------------- */
	inline UInt Mesh::getNbElement(ElementType type, GhostType ghost_type) const {
	try {

	const Array<UInt> & conn = connectivities(type, ghost_type);
	return conn.size();
	} catch (...) {
	return 0;
	}
	}

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

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

	return nb_element;
	}

	/* -------------------------------------------------------------------------- */
	inline void Mesh::getBarycenter(const Element & element,
	Vector<Real> & barycenter) const {
	Vector<UInt> conn = getConnectivity(element);
	Matrix<Real> local_coord(spatial_dimension, conn.size());
	auto node_begin = make_view(*nodes, spatial_dimension).begin();

	for (auto && node : enumerate(conn)) {
	local_coord(std::get<0>(node)) =
	Vector<Real>(node_begin[std::get<1>(node)]);
	}

	Math::barycenter(local_coord.storage(), conn.size(), spatial_dimension,
	barycenter.storage());
	}

	/* -------------------------------------------------------------------------- */
	inline UInt Mesh::getNbNodesPerElement(ElementType type) {
	UInt nb_nodes_per_element = 0;
	#define GET_NB_NODES_PER_ELEMENT(type) \
	nb_nodes_per_element = ElementClass<type>::getNbNodesPerElement()
	AKANTU_BOOST_ALL_ELEMENT_SWITCH(GET_NB_NODES_PER_ELEMENT);
	#undef GET_NB_NODES_PER_ELEMENT
	return nb_nodes_per_element;
	}

	/* -------------------------------------------------------------------------- */
	inline ElementType Mesh::getP1ElementType(ElementType type) {
	ElementType p1_type = _not_defined;
	#define GET_P1_TYPE(type) p1_type = ElementClass<type>::getP1ElementType()

	AKANTU_BOOST_ALL_ELEMENT_SWITCH(GET_P1_TYPE);
	#undef GET_P1_TYPE
	return p1_type;
	}

	/* -------------------------------------------------------------------------- */
	inline ElementKind Mesh::getKind(ElementType type) {
	ElementKind kind = _ek_not_defined;
	#define GET_KIND(type) kind = ElementClass<type>::getKind()
	AKANTU_BOOST_ALL_ELEMENT_SWITCH(GET_KIND);
	#undef GET_KIND
	return kind;
	}

	/* -------------------------------------------------------------------------- */
	inline UInt Mesh::getSpatialDimension(ElementType type) {
	UInt spatial_dimension = 0;
	#define GET_SPATIAL_DIMENSION(type) \
	spatial_dimension = ElementClass<type>::getSpatialDimension()
	AKANTU_BOOST_ALL_ELEMENT_SWITCH(GET_SPATIAL_DIMENSION);
	#undef GET_SPATIAL_DIMENSION

	return spatial_dimension;
	}

	/* -------------------------------------------------------------------------- */
	inline UInt Mesh::getNbFacetTypes(ElementType type,
	__attribute__((unused)) UInt t) {
	UInt nb = 0;
	#define GET_NB_FACET_TYPE(type) nb = ElementClass<type>::getNbFacetTypes()

	AKANTU_BOOST_ALL_ELEMENT_SWITCH(GET_NB_FACET_TYPE);
	#undef GET_NB_FACET_TYPE
	return nb;
	}

	/* -------------------------------------------------------------------------- */
	inline constexpr auto Mesh::getFacetType(ElementType type, UInt t) {
	#define GET_FACET_TYPE(type) return ElementClass<type>::getFacetType(t);

	AKANTU_BOOST_ALL_ELEMENT_SWITCH_NO_DEFAULT(GET_FACET_TYPE);

	#undef GET_FACET_TYPE

	return _not_defined;
	}

	/* -------------------------------------------------------------------------- */
	inline constexpr auto Mesh::getAllFacetTypes(ElementType type) {
	#define GET_FACET_TYPE(type) return ElementClass<type>::getFacetTypes();

	AKANTU_BOOST_ALL_ELEMENT_SWITCH_NO_DEFAULT(GET_FACET_TYPE);
	#undef GET_FACET_TYPE

	return ElementClass<_not_defined>::getFacetTypes();
	}

	/* -------------------------------------------------------------------------- */
	inline UInt Mesh::getNbFacetsPerElement(ElementType type) {
	AKANTU_DEBUG_IN();

	UInt n_facet = 0;
	#define GET_NB_FACET(type) n_facet = ElementClass<type>::getNbFacetsPerElement()

	AKANTU_BOOST_ALL_ELEMENT_SWITCH(GET_NB_FACET);
	#undef GET_NB_FACET

	AKANTU_DEBUG_OUT();
	return n_facet;
	}

	/* -------------------------------------------------------------------------- */
	inline UInt Mesh::getNbFacetsPerElement(ElementType type, UInt t) {
	AKANTU_DEBUG_IN();

	UInt n_facet = 0;
	#define GET_NB_FACET(type) \
	n_facet = ElementClass<type>::getNbFacetsPerElement(t)

	AKANTU_BOOST_ALL_ELEMENT_SWITCH(GET_NB_FACET);
	#undef GET_NB_FACET

	AKANTU_DEBUG_OUT();
	return n_facet;
	}

	/* -------------------------------------------------------------------------- */
	inline auto Mesh::getFacetLocalConnectivity(ElementType type, UInt t) {
	AKANTU_DEBUG_IN();

	#define GET_FACET_CON(type) \
	AKANTU_DEBUG_OUT(); \
	return ElementClass<type>::getFacetLocalConnectivityPerElement(t)

	AKANTU_BOOST_ALL_ELEMENT_SWITCH(GET_FACET_CON);
	#undef GET_FACET_CON

	AKANTU_DEBUG_OUT();
	return ElementClass<_not_defined>::getFacetLocalConnectivityPerElement(0);
	// This avoid a compilation warning but will certainly
	// also cause a segfault if reached
	}

	/* -------------------------------------------------------------------------- */
	inline auto Mesh::getFacetConnectivity(const Element & element, UInt t) const {
	AKANTU_DEBUG_IN();

	Matrix<const UInt> local_facets(getFacetLocalConnectivity(element.type, t));
	Matrix<UInt> facets(local_facets.rows(), local_facets.cols());

	const Array<UInt> & conn = connectivities(element.type, element.ghost_type);

	for (UInt f = 0; f < facets.rows(); ++f) {
	for (UInt n = 0; n < facets.cols(); ++n) {
	facets(f, n) = conn(element.element, local_facets(f, n));
	}
	}

	AKANTU_DEBUG_OUT();
	return facets;
	}

	/* -------------------------------------------------------------------------- */
	inline VectorProxy<UInt> Mesh::getConnectivity(const Element & element) const {
	return connectivities.get(element);
	}

	/* -------------------------------------------------------------------------- */
	inline VectorProxy<UInt> Mesh::getConnectivityNC(const Element & element) {
	return connectivities.get(element);
	}

	/* -------------------------------------------------------------------------- */
	template <typename T>
	inline void Mesh::extractNodalValuesFromElement(
	const Array<T> & nodal_values, T * local_coord, const UInt * connectivity,
	UInt n_nodes, UInt nb_degree_of_freedom) const {
	for (UInt n = 0; n < n_nodes; ++n) {
	memcpy(local_coord + n * nb_degree_of_freedom,
	nodal_values.storage() + connectivity[n] * nb_degree_of_freedom,
	nb_degree_of_freedom * sizeof(T));
	}
	}

	/* -------------------------------------------------------------------------- */
	inline void Mesh::addConnectivityType(ElementType type, GhostType ghost_type) {
	getConnectivityPointer(type, ghost_type);
	}

	/* -------------------------------------------------------------------------- */
	inline bool Mesh::isPureGhostNode(UInt n) const {
	return ((*nodes_flags)(n)&NodeFlag::_shared_mask) == NodeFlag::_pure_ghost;
	}

	/* -------------------------------------------------------------------------- */
	inline bool Mesh::isLocalOrMasterNode(UInt n) const {
	return ((*nodes_flags)(n)&NodeFlag::_local_master_mask) == NodeFlag::_normal;
	}

	/* -------------------------------------------------------------------------- */
	inline bool Mesh::isLocalNode(UInt n) const {
	return ((*nodes_flags)(n)&NodeFlag::_shared_mask) == NodeFlag::_normal;
	}

	/* -------------------------------------------------------------------------- */
	inline bool Mesh::isMasterNode(UInt n) const {
	return ((*nodes_flags)(n)&NodeFlag::_shared_mask) == NodeFlag::_master;
	}

	/* -------------------------------------------------------------------------- */
	inline bool Mesh::isSlaveNode(UInt n) const {
	return ((*nodes_flags)(n)&NodeFlag::_shared_mask) == NodeFlag::_slave;
	}

	/* -------------------------------------------------------------------------- */
	inline bool Mesh::isPeriodicSlave(UInt n) const {
	return ((*nodes_flags)(n)&NodeFlag::_periodic_mask) ==
	NodeFlag::_periodic_slave;
	}

	/* -------------------------------------------------------------------------- */
	inline bool Mesh::isPeriodicMaster(UInt n) const {
	return ((*nodes_flags)(n)&NodeFlag::_periodic_mask) ==
	NodeFlag::_periodic_master;
	}

	/* -------------------------------------------------------------------------- */
	inline NodeFlag Mesh::getNodeFlag(UInt local_id) const {
	return (*nodes_flags)(local_id);
	}

	/* -------------------------------------------------------------------------- */
	inline Int Mesh::getNodePrank(UInt local_id) const {
	auto it = nodes_prank.find(local_id);
	return it == nodes_prank.end() ? -1 : it->second;
	}

	/* -------------------------------------------------------------------------- */
	inline UInt Mesh::getNodeGlobalId(UInt local_id) const {
	return nodes_global_ids ? (*nodes_global_ids)(local_id) : local_id;
	}

	/* -------------------------------------------------------------------------- */
	inline UInt Mesh::getNodeLocalId(UInt global_id) const {
	if (nodes_global_ids == nullptr) {
	return global_id;
	}
	return nodes_global_ids->find(global_id);
	}

	/* -------------------------------------------------------------------------- */
	inline UInt Mesh::getNbGlobalNodes() const {
	return nodes_global_ids ? nb_global_nodes : nodes->size();
	}

	/* -------------------------------------------------------------------------- */
	inline UInt Mesh::getNbNodesPerElementList(const Array<Element> & elements) {
	UInt nb_nodes_per_element = 0;
	UInt nb_nodes = 0;
	ElementType current_element_type = _not_defined;

	for (const auto & el : elements) {
	if (el.type != current_element_type) {
	current_element_type = el.type;
	nb_nodes_per_element = Mesh::getNbNodesPerElement(current_element_type);
	}

	nb_nodes += nb_nodes_per_element;
	}

	return nb_nodes;
	}

	/* -------------------------------------------------------------------------- */
	inline Mesh & Mesh::getMeshFacets() {
	if (this->mesh_facets == nullptr) {
	AKANTU_SILENT_EXCEPTION(
	"No facet mesh is defined yet! check the buildFacets functions");
	}

	return *this->mesh_facets;
	}

	/* -------------------------------------------------------------------------- */
	inline const Mesh & Mesh::getMeshFacets() const {
	if (this->mesh_facets == nullptr) {
	AKANTU_SILENT_EXCEPTION(
	"No facet mesh is defined yet! check the buildFacets functions");
	}

	return *this->mesh_facets;
	}
	/* -------------------------------------------------------------------------- */
	inline const Mesh & Mesh::getMeshParent() const {
	if (this->mesh_parent == nullptr) {
	AKANTU_SILENT_EXCEPTION(
	"No parent mesh is defined! This is only valid in a mesh_facets");
	}

	return *this->mesh_parent;
	}

	/* -------------------------------------------------------------------------- */
	void Mesh::addPeriodicSlave(UInt slave, UInt master) {
	if (master == slave) {
	return;
	}

	// if pair already registered
	auto master_slaves = periodic_master_slave.equal_range(master);
	auto slave_it =
	std::find_if(master_slaves.first, master_slaves.second,
	[&](auto & pair) { return pair.second == slave; });
	if (slave_it == master_slaves.second) {
	// no duplicates
	periodic_master_slave.insert(std::make_pair(master, slave));
	AKANTU_DEBUG_INFO("adding periodic slave, slave gid:"
	<< getNodeGlobalId(slave) << " [lid: " << slave << "]"
	<< ", master gid:" << getNodeGlobalId(master)
	<< " [lid: " << master << "]");
	// std::cout << "adding periodic slave, slave gid:" <<
	// getNodeGlobalId(slave)
	// << " [lid: " << slave << "]"
	// << ", master gid:" << getNodeGlobalId(master)
	// << " [lid: " << master << "]" << std::endl;
	}

	periodic_slave_master[slave] = master;

	auto set_flag = [&](auto node, auto flag) {
	(*nodes_flags)[node] &= ~NodeFlag::_periodic_mask; // clean periodic flags
	(*nodes_flags)[node] \|= flag;
	};

	set_flag(slave, NodeFlag::_periodic_slave);
	set_flag(master, NodeFlag::_periodic_master);
	}

	/* -------------------------------------------------------------------------- */
	UInt Mesh::getPeriodicMaster(UInt slave) const {
	return periodic_slave_master.at(slave);
	}

	/* -------------------------------------------------------------------------- */
	class Mesh::PeriodicSlaves {
	using internal_iterator = std::unordered_multimap<UInt, UInt>::const_iterator;
	std::pair<internal_iterator, internal_iterator> pair;

	public:
	PeriodicSlaves(const Mesh & mesh, UInt master)
	: pair(mesh.getPeriodicMasterSlaves().equal_range(master)) {}

	PeriodicSlaves(const PeriodicSlaves & other) = default;
	PeriodicSlaves(PeriodicSlaves && other) = default;
	PeriodicSlaves & operator=(const PeriodicSlaves & other) = default;

	class const_iterator {
	internal_iterator it;

	public:
	const_iterator(internal_iterator it) : it(it) {}

	const_iterator operator++() {
	++it;
	return *this;
	}
	bool operator!=(const const_iterator & other) { return other.it != it; }
	auto operator*() { return it->second; }
	};

	auto begin() const { return const_iterator(pair.first); }
	auto end() const { return const_iterator(pair.second); }
	};

	/* -------------------------------------------------------------------------- */
	inline decltype(auto) Mesh::getPeriodicSlaves(UInt master) const {
	return PeriodicSlaves(*this, master);
	}

	/* -------------------------------------------------------------------------- */
	inline Vector<UInt>
	Mesh::getConnectivityWithPeriodicity(const Element & element) const {
	Vector<UInt> conn = getConnectivity(element);
	if (not isPeriodic()) {
	return conn;
	}

	for (auto && node : conn) {
	if (isPeriodicSlave(node)) {
	node = getPeriodicMaster(node);
	}
	}

	return conn;
	}

	} // namespace akantu

	#endif /* AKANTU_MESH_INLINE_IMPL_HH_ */

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