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/**
* @file mesh.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Dana Christen <dana.christen@epfl.ch>
* @author David Simon Kammer <david.kammer@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Thu Nov 12 2020
*
* @brief the class representing the meshes
*
*
* @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/>.
*
*/
/* -------------------------------------------------------------------------- */
#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()) {
UInt nb_element = mesh.getNbElement(type);
const Array<UInt> & conn = mesh.getConnectivity(type);
for(UInt 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(UInt spatial_dimension, const ID & id, Communicator & communicator);
public:
/// constructor that create nodes coordinates array
Mesh(UInt spatial_dimension, const ID & id = "mesh");
/// mesh not distributed and not using the default communicator
Mesh(UInt spatial_dimension, Communicator & communicator,
const ID & id = "mesh");
/**
* constructor that use an existing nodes coordinates
* array, by getting the vector of coordinates
*/
Mesh(UInt spatial_dimension, const std::shared_ptr<Array<Real>> & nodes,
const ID & id = "mesh");
~Mesh() override;
/// 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<UInt> & list_left,
const Array<UInt> & list_right);
/// Removes the face that the mesh is periodic
void wipePeriodicInfo();
inline void addPeriodicSlave(UInt slave, UInt 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 UInt getPeriodicMaster(UInt slave) const;
/// get an iterable list of slaves for a given master node
inline decltype(auto) getPeriodicSlaves(UInt 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>
inline void
extractNodalValuesFromElement(const Array<T> & nodal_values, T * local_coord,
const UInt * connectivity, UInt n_nodes,
UInt nb_degree_of_freedom) const;
// /// extract coordinates of nodes from a reversed element
// inline void extractNodalCoordinatesFromPBCElement(Real * local_coords,
// UInt * connectivity,
// UInt n_nodes);
/// add a Array of connectivity for the given ElementType and GhostType .
inline void addConnectivityType(ElementType type,
GhostType ghost_type = _not_ghost);
/* ------------------------------------------------------------------------ */
template <class Event> inline void sendEvent(Event & event) {
// if(event.getList().size() != 0)
EventHandlerManager<MeshEventHandler>::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<UInt> & new_numbering);
/// initialize normals
void initNormals();
/// 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<UInt> & global_connectivity);
public:
void getAssociatedElements(const Array<UInt> & node_list,
Array<Element> & elements) const;
void getAssociatedElements(const UInt & node,
Array<Element> & elements) const;
public:
/// fills the nodes_to_elements for given dimension elements
void fillNodesToElements(UInt dimension = _all_dimensions);
private:
/// update the global ids, nodes type, ...
std::tuple<UInt, UInt> 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, UInt);
/// 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 normals for the elements
AKANTU_GET_MACRO_BY_ELEMENT_TYPE(Normals, normals, Real);
/// get the number of nodes
AKANTU_GET_MACRO(NbNodes, nodes->size(), UInt);
/// get the Array of global ids of the nodes (only used in parallel)
AKANTU_GET_MACRO(GlobalNodesIds, *nodes_global_ids, const Array<UInt> &);
// AKANTU_GET_MACRO_NOT_CONST(GlobalNodesIds, *nodes_global_ids, Array<UInt>
// &);
/// get the global id of a node
inline UInt getNodeGlobalId(UInt local_id) const;
/// get the global id of a node
inline UInt getNodeLocalId(UInt global_id) const;
/// get the global number of nodes
inline UInt 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(UInt local_id) const;
inline Int getNodePrank(UInt local_id) const;
/// say if a node is a pure ghost node
inline bool isPureGhostNode(UInt n) const;
/// say if a node is pur local or master node
inline bool isLocalOrMasterNode(UInt n) const;
inline bool isLocalNode(UInt n) const;
inline bool isMasterNode(UInt n) const;
inline bool isSlaveNode(UInt n) const;
inline bool isPeriodicSlave(UInt n) const;
inline bool isPeriodicMaster(UInt 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, UInt);
AKANTU_GET_MACRO_BY_ELEMENT_TYPE(Connectivity, connectivities, UInt);
AKANTU_GET_MACRO(Connectivities, connectivities,
const ElementTypeMapArray<UInt> &);
/// get the number of element of a type in the mesh
inline UInt getNbElement(ElementType type,
GhostType ghost_type = _not_ghost) const;
/// get the number of element for a given ghost_type and a given dimension
inline UInt getNbElement(UInt spatial_dimension = _all_dimensions,
GhostType ghost_type = _not_ghost,
ElementKind kind = _ek_not_defined) const;
/// compute the barycenter of a given element
inline void getBarycenter(const Element & element,
Vector<Real> & barycenter) const;
void getBarycenters(Array<Real> & barycenter, ElementType type,
GhostType ghost_type) const;
/// get the element connected to a subelement (element of lower dimension)
const 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
const auto & getElementToSubelement(const Element & element) const;
/// get the subelement (element of lower dimension) connected to a element
const 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
VectorProxy<Element> getSubelementToElement(const Element & element) const;
/// get connectivity of a given element
inline VectorProxy<UInt> getConnectivity(const Element & element) const;
inline Vector<UInt>
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 VectorProxy<Element>
getSubelementToElementNC(const Element & element) const;
/// 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 VectorProxy<UInt> getConnectivityNC(const Element & element);
public:
/// get a name field associated to the mesh
template <typename T>
inline const Array<T> & 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 Array<T> & 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 const ElementTypeMapArray<T> & getData(const ID & data_name) const;
/// get a name field associated to the mesh
template <typename T>
inline ElementTypeMapArray<T> & getData(const ID & data_name);
template <typename T>
ElementTypeMap<UInt> getNbDataPerElem(ElementTypeMapArray<T> & array);
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 Array<T> &
getDataPointer(const std::string & data_name, ElementType el_type,
GhostType ghost_type = _not_ghost, UInt nb_component = 1,
bool size_to_nb_element = true,
bool resize_with_parent = false);
template <typename T>
inline Array<T> & 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_);
/// Facets mesh accessor
inline const Mesh & getMeshFacets() const;
inline Mesh & getMeshFacets();
inline auto hasMeshFacets() const { return mesh_facets != nullptr; }
/// Parent mesh accessor
inline const Mesh & getMeshParent() const;
inline bool isMeshFacets() const { return this->is_mesh_facets; }
/// return the dumper from a group and and a dumper name
DumperIOHelper & getGroupDumper(const std::string & dumper_name,
const std::string & group_name);
/* ------------------------------------------------------------------------ */
/* Wrappers on ElementClass functions */
/* ------------------------------------------------------------------------ */
public:
/// get the number of nodes per element for a given element type
static inline UInt getNbNodesPerElement(ElementType type);
/// get the number of nodes per element for a given element type considered as
/// a first order element
static inline ElementType getP1ElementType(ElementType type);
/// get the kind of the element type
static inline ElementKind getKind(ElementType type);
/// get spatial dimension of a type of element
static inline UInt getSpatialDimension(ElementType type);
/// get the natural space dimension of a type of element
static inline UInt getNaturalSpaceDimension(const ElementType & type);
/// get number of facets of a given element type
static inline UInt getNbFacetsPerElement(ElementType type);
/// get number of facets of a given element type
static inline UInt getNbFacetsPerElement(ElementType type, UInt t);
/// get local connectivity of a facet for a given facet type
static inline auto getFacetLocalConnectivity(ElementType type, UInt t = 0);
/// get connectivity of facets for a given element
inline auto getFacetConnectivity(const Element & element, UInt t = 0) const;
/// get the number of type of the surface element associated to a given
/// element type
static inline UInt getNbFacetTypes(ElementType type, UInt t = 0);
/// get the type of the surface element associated to a given element
static inline constexpr auto getFacetType(ElementType type, UInt t = 0);
/// get all the type of the surface element associated to a given element
static inline constexpr auto getAllFacetTypes(ElementType type);
/// get the number of nodes in the given element list
static inline UInt getNbNodesPerElementList(const Array<Element> & elements);
/* ------------------------------------------------------------------------ */
/* Element type Iterator */
/* ------------------------------------------------------------------------ */
using type_iterator = ElementTypeMapArray<UInt, ElementType>::type_iterator;
using ElementTypesIteratorHelper =
ElementTypeMapArray<UInt, ElementType>::ElementTypesIteratorHelper;
template <typename... pack>
ElementTypesIteratorHelper elementTypes(pack &&... _pack) const;
[[deprecated("Use elementTypes instead")]] inline decltype(auto)
firstType(UInt dim = _all_dimensions, GhostType ghost_type = _not_ghost,
ElementKind kind = _ek_regular) const {
return connectivities.elementTypes(dim, ghost_type, kind).begin();
}
[[deprecated("Use elementTypes instead")]] inline decltype(auto)
lastType(UInt dim = _all_dimensions, GhostType ghost_type = _not_ghost,
ElementKind kind = _ek_regular) const {
return connectivities.elementTypes(dim, ghost_type, kind).end();
}
AKANTU_GET_MACRO(ElementSynchronizer, *element_synchronizer,
const ElementSynchronizer &);
AKANTU_GET_MACRO_NOT_CONST(ElementSynchronizer, *element_synchronizer,
ElementSynchronizer &);
AKANTU_GET_MACRO(NodeSynchronizer, *node_synchronizer,
const NodeSynchronizer &);
AKANTU_GET_MACRO_NOT_CONST(NodeSynchronizer, *node_synchronizer,
NodeSynchronizer &);
AKANTU_GET_MACRO(PeriodicNodeSynchronizer, *periodic_node_synchronizer,
const PeriodicNodeSynchronizer &);
AKANTU_GET_MACRO_NOT_CONST(PeriodicNodeSynchronizer,
*periodic_node_synchronizer,
PeriodicNodeSynchronizer &);
// AKANTU_GET_MACRO_NOT_CONST(Communicator, *communicator, StaticCommunicator
// &);
AKANTU_GET_MACRO(Communicator, *communicator, const auto &);
AKANTU_GET_MACRO_NOT_CONST(Communicator, *communicator, auto &);
AKANTU_GET_MACRO(PeriodicMasterSlaves, periodic_master_slave, const auto &);
/* ------------------------------------------------------------------------ */
/* Private methods for friends */
/* ------------------------------------------------------------------------ */
private:
friend class MeshAccessor;
friend class MeshUtils;
AKANTU_GET_MACRO(NodesPointer, *nodes, Array<Real> &);
/// get a pointer to the nodes_global_ids Array<UInt> and create it if
/// necessary
inline Array<UInt> & getNodesGlobalIdsPointer();
/// get a pointer to the nodes_type Array<Int> and create it if necessary
inline Array<NodeFlag> & getNodesFlagsPointer();
/// get a pointer to the connectivity Array for the given type and create it
/// if necessary
inline Array<UInt> &
getConnectivityPointer(ElementType type, GhostType ghost_type = _not_ghost);
/// get the ghost element counter
inline Array<UInt> & getGhostsCounters(ElementType type,
GhostType ghost_type = _ghost) {
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 Array<std::vector<Element>> &
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 Array<Element> &
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<UInt>> 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<UInt, Int> nodes_prank;
/// global number of nodes;
UInt nb_global_nodes{0};
/// all class of elements present in this mesh (for heterogenous meshes)
ElementTypeMapArray<UInt> connectivities;
/// count the references on ghost elements
ElementTypeMapArray<UInt> ghosts_counters;
/// map to normals for all class of elements present in this mesh
ElementTypeMapArray<Real> normals;
/// the spatial dimension of this mesh
UInt 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<UInt, UInt> periodic_slave_master;
std::unordered_multimap<UInt, UInt> periodic_master_slave;
};
/// standard output stream operator
inline std::ostream & operator<<(std::ostream & stream, const Mesh & _this) {
_this.printself(stream);
return stream;
}
} // namespace akantu
/* -------------------------------------------------------------------------- */
/* Inline functions */
/* -------------------------------------------------------------------------- */
#include "element_type_map_tmpl.hh"
#include "mesh_inline_impl.hh"
#endif /* AKANTU_MESH_HH_ */
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