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/**
* @file mesh.cc
*
* @author Guillaume Anciaux <guillaume.anciaux@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: Fri Jan 22 2016
*
* @brief class handling meshes
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014, 2015 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_config.hh"
/* -------------------------------------------------------------------------- */
#include "element_class.hh"
#include "group_manager_inline_impl.cc"
#include "mesh.hh"
#include "mesh_io.hh"
#include "mesh_iterators.hh"
#include "mesh_utils.hh"
/* -------------------------------------------------------------------------- */
#include "communicator.hh"
#include "element_synchronizer.hh"
#include "facet_synchronizer.hh"
#include "mesh_utils_distribution.hh"
#include "node_synchronizer.hh"
/* -------------------------------------------------------------------------- */
#ifdef AKANTU_USE_IOHELPER
#include "dumper_field.hh"
#include "dumper_internal_material_field.hh"
#endif
/* -------------------------------------------------------------------------- */
#include <limits>
#include <sstream>
/* -------------------------------------------------------------------------- */
namespace akantu {
/* -------------------------------------------------------------------------- */
Mesh::Mesh(UInt spatial_dimension, const ID & id, const MemoryID & memory_id,
Communicator & communicator)
: Memory(id, memory_id),
GroupManager(*this, id + ":group_manager", memory_id),
nodes_type(0, 1, id + ":nodes_type"),
connectivities("connectivities", id, memory_id),
ghosts_counters("ghosts_counters", id, memory_id),
normals("normals", id, memory_id), spatial_dimension(spatial_dimension),
lower_bounds(spatial_dimension, 0.), upper_bounds(spatial_dimension, 0.),
size(spatial_dimension, 0.), local_lower_bounds(spatial_dimension, 0.),
local_upper_bounds(spatial_dimension, 0.),
mesh_data("mesh_data", id, memory_id), communicator(&communicator) {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
Mesh::Mesh(UInt spatial_dimension, Communicator & communicator, const ID & id,
const MemoryID & memory_id)
: Mesh(spatial_dimension, id, memory_id, communicator) {
AKANTU_DEBUG_IN();
this->nodes =
std::make_shared<Array<Real>>(0, spatial_dimension, id + ":coordinates");
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
Mesh::Mesh(UInt spatial_dimension, const ID & id, const MemoryID & memory_id)
: Mesh(spatial_dimension, Communicator::getStaticCommunicator(), id,
memory_id) {}
/* -------------------------------------------------------------------------- */
Mesh::Mesh(UInt spatial_dimension, const std::shared_ptr<Array<Real>> & nodes,
const ID & id, const MemoryID & memory_id)
: Mesh(spatial_dimension, id, memory_id,
Communicator::getStaticCommunicator()) {
this->nodes = nodes;
this->nb_global_nodes = this->nodes->size();
this->nodes_to_elements.resize(nodes->size());
for (auto & node_set : nodes_to_elements) {
node_set = std::make_unique<std::set<Element>>();
}
this->computeBoundingBox();
}
/* -------------------------------------------------------------------------- */
Mesh & Mesh::initMeshFacets(const ID & id) {
AKANTU_DEBUG_IN();
if (!mesh_facets) {
mesh_facets = std::make_unique<Mesh>(spatial_dimension, this->nodes,
getID() + ":" + id, getMemoryID());
mesh_facets->mesh_parent = this;
mesh_facets->is_mesh_facets = true;
MeshUtils::buildAllFacets(*this, *mesh_facets, 0);
if (mesh.isDistributed()) {
mesh_facets->is_distributed = true;
mesh_facets->element_synchronizer = std::make_unique<FacetSynchronizer>(
*mesh_facets, mesh.getElementSynchronizer());
}
/// transfers the the mesh physical names to the mesh facets
if (not this->hasData("physical_names")) {
AKANTU_DEBUG_OUT();
return *mesh_facets;
}
if (not mesh_facets->hasData("physical_names")) {
mesh_facets->registerData<std::string>("physical_names");
}
auto & mesh_phys_data = this->getData<std::string>("physical_names");
auto & phys_data = mesh_facets->getData<std::string>("physical_names");
phys_data.initialize(*mesh_facets,
_spatial_dimension = spatial_dimension - 1,
_with_nb_element = true);
for_each_element(
mesh,
[&](auto && element) {
Vector<Real> barycenter(spatial_dimension);
mesh.getBarycenter(element, barycenter);
auto norm_barycenter = barycenter.norm();
const auto & element_to_facet = mesh_facets->getElementToSubelement(
element.type, element.ghost_type);
Vector<Real> barycenter_facet(spatial_dimension);
auto nb_facet =
mesh_facets->getNbElement(element.type, element.ghost_type);
auto range = arange(nb_facet);
#ifndef AKANTU_NDEBUG
auto min_dist = std::numeric_limits<Real>::max();
#endif
// this is a spacial search coded the most inefficient way.
auto facet =
std::find_if(range.begin(), range.end(), [&](auto && facet) {
if (element_to_facet(facet)[1] == ElementNull)
return false;
mesh_facets->getBarycenter(
Element{element.type, facet, element.ghost_type},
barycenter_facet);
auto norm_distance = barycenter_facet.distance(barycenter);
#ifndef AKANTU_NDEBUG
min_dist = std::min(min_dist, norm_distance);
#endif
return (norm_distance <
(Math::getTolerance() * norm_barycenter));
});
if (facet == range.end()) {
AKANTU_DEBUG_INFO(
"The element "
<< element << " did not find its associated facet in the "
"mesh_facets! Try to decrease math tolerance. "
"The closest element was at a distance of "
<< min_dist);
return;
}
// set physical name
phys_data(Element{element.type, *facet, element.ghost_type}) =
mesh_phys_data(element);
},
_spatial_dimension = spatial_dimension - 1);
mesh_facets->createGroupsFromMeshData<std::string>("physical_names");
}
AKANTU_DEBUG_OUT();
return *mesh_facets;
}
/* -------------------------------------------------------------------------- */
void Mesh::defineMeshParent(const Mesh & mesh) {
AKANTU_DEBUG_IN();
this->mesh_parent = &mesh;
this->is_mesh_facets = true;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
Mesh::~Mesh() = default;
/* -------------------------------------------------------------------------- */
void Mesh::read(const std::string & filename, const MeshIOType & mesh_io_type) {
MeshIO mesh_io;
mesh_io.read(filename, *this, mesh_io_type);
type_iterator it =
this->firstType(spatial_dimension, _not_ghost, _ek_not_defined);
type_iterator last =
this->lastType(spatial_dimension, _not_ghost, _ek_not_defined);
if (it == last)
AKANTU_EXCEPTION(
"The mesh contained in the file "
<< filename << " does not seem to be of the good dimension."
<< " No element of dimension " << spatial_dimension << " where read.");
this->nb_global_nodes = this->nodes->size();
this->computeBoundingBox();
this->nodes_to_elements.resize(nodes->size());
for (auto & node_set : nodes_to_elements) {
node_set = std::make_unique<std::set<Element>>();
}
}
/* -------------------------------------------------------------------------- */
void Mesh::write(const std::string & filename,
const MeshIOType & mesh_io_type) {
MeshIO mesh_io;
mesh_io.write(filename, *this, mesh_io_type);
}
/* -------------------------------------------------------------------------- */
void Mesh::printself(std::ostream & stream, int indent) const {
std::string space;
for (Int i = 0; i < indent; i++, space += AKANTU_INDENT)
;
stream << space << "Mesh [" << std::endl;
stream << space << " + id : " << getID() << std::endl;
stream << space << " + spatial dimension : " << this->spatial_dimension
<< std::endl;
stream << space << " + nodes [" << std::endl;
nodes->printself(stream, indent + 2);
stream << space << " + connectivities [" << std::endl;
connectivities.printself(stream, indent + 2);
stream << space << " ]" << std::endl;
GroupManager::printself(stream, indent + 1);
stream << space << "]" << std::endl;
}
/* -------------------------------------------------------------------------- */
void Mesh::computeBoundingBox() {
AKANTU_DEBUG_IN();
for (UInt k = 0; k < spatial_dimension; ++k) {
local_lower_bounds(k) = std::numeric_limits<double>::max();
local_upper_bounds(k) = -std::numeric_limits<double>::max();
}
for (UInt i = 0; i < nodes->size(); ++i) {
// if(!isPureGhostNode(i))
for (UInt k = 0; k < spatial_dimension; ++k) {
local_lower_bounds(k) = std::min(local_lower_bounds[k], (*nodes)(i, k));
local_upper_bounds(k) = std::max(local_upper_bounds[k], (*nodes)(i, k));
}
}
if (this->is_distributed) {
Matrix<Real> reduce_bounds(spatial_dimension, 2);
for (UInt k = 0; k < spatial_dimension; ++k) {
reduce_bounds(k, 0) = local_lower_bounds(k);
reduce_bounds(k, 1) = -local_upper_bounds(k);
}
communicator->allReduce(reduce_bounds, SynchronizerOperation::_min);
for (UInt k = 0; k < spatial_dimension; ++k) {
lower_bounds(k) = reduce_bounds(k, 0);
upper_bounds(k) = -reduce_bounds(k, 1);
}
} else {
this->lower_bounds = this->local_lower_bounds;
this->upper_bounds = this->local_upper_bounds;
}
size = upper_bounds - lower_bounds;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void Mesh::initNormals() {
normals.initialize(*this, _nb_component = spatial_dimension,
_spatial_dimension = spatial_dimension,
_element_kind = _ek_not_defined);
}
/* -------------------------------------------------------------------------- */
void Mesh::getGlobalConnectivity(
ElementTypeMapArray<UInt> & global_connectivity) {
AKANTU_DEBUG_IN();
for (auto && ghost_type : ghost_types) {
for (auto type :
global_connectivity.elementTypes(_ghost_type = ghost_type)) {
if (not connectivities.exists(type, ghost_type))
continue;
auto & local_conn = connectivities(type, ghost_type);
auto & g_connectivity = global_connectivity(type, ghost_type);
UInt nb_nodes = local_conn.size() * local_conn.getNbComponent();
if (not nodes_global_ids && is_mesh_facets) {
std::transform(
local_conn.begin_reinterpret(nb_nodes),
local_conn.end_reinterpret(nb_nodes),
g_connectivity.begin_reinterpret(nb_nodes),
[& node_ids = *mesh_parent->nodes_global_ids](UInt l)->UInt {
return node_ids(l);
});
} else {
std::transform(local_conn.begin_reinterpret(nb_nodes),
local_conn.end_reinterpret(nb_nodes),
g_connectivity.begin_reinterpret(nb_nodes),
[& node_ids = *nodes_global_ids](UInt l)->UInt {
return node_ids(l);
});
}
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
DumperIOHelper & Mesh::getGroupDumper(const std::string & dumper_name,
const std::string & group_name) {
if (group_name == "all")
return this->getDumper(dumper_name);
else
return element_groups[group_name]->getDumper(dumper_name);
}
/* -------------------------------------------------------------------------- */
template <typename T>
ElementTypeMap<UInt> Mesh::getNbDataPerElem(ElementTypeMapArray<T> & arrays,
const ElementKind & element_kind) {
ElementTypeMap<UInt> nb_data_per_elem;
for (auto type : elementTypes(spatial_dimension, _not_ghost, element_kind)) {
UInt nb_elements = this->getNbElement(type);
auto & array = arrays(type);
nb_data_per_elem(type) = array.getNbComponent() * array.size();
nb_data_per_elem(type) /= nb_elements;
}
return nb_data_per_elem;
}
/* -------------------------------------------------------------------------- */
template ElementTypeMap<UInt>
Mesh::getNbDataPerElem(ElementTypeMapArray<Real> & array,
const ElementKind & element_kind);
template ElementTypeMap<UInt>
Mesh::getNbDataPerElem(ElementTypeMapArray<UInt> & array,
const ElementKind & element_kind);
/* -------------------------------------------------------------------------- */
#ifdef AKANTU_USE_IOHELPER
template <typename T>
dumper::Field *
Mesh::createFieldFromAttachedData(const std::string & field_id,
const std::string & group_name,
const ElementKind & element_kind) {
dumper::Field * field = nullptr;
ElementTypeMapArray<T> * internal = nullptr;
try {
internal = &(this->getData<T>(field_id));
} catch (...) {
return nullptr;
}
ElementTypeMap<UInt> nb_data_per_elem =
this->getNbDataPerElem(*internal, element_kind);
field = this->createElementalField<T, dumper::InternalMaterialField>(
*internal, group_name, this->spatial_dimension, element_kind,
nb_data_per_elem);
return field;
}
template dumper::Field *
Mesh::createFieldFromAttachedData<Real>(const std::string & field_id,
const std::string & group_name,
const ElementKind & element_kind);
template dumper::Field *
Mesh::createFieldFromAttachedData<UInt>(const std::string & field_id,
const std::string & group_name,
const ElementKind & element_kind);
#endif
/* -------------------------------------------------------------------------- */
void Mesh::distribute() {
this->distribute(Communicator::getStaticCommunicator());
}
/* -------------------------------------------------------------------------- */
void Mesh::distribute(Communicator & communicator) {
AKANTU_DEBUG_ASSERT(is_distributed == false,
"This mesh is already distribute");
this->communicator = &communicator;
this->element_synchronizer = std::make_unique<ElementSynchronizer>(
*this, this->getID() + ":element_synchronizer", this->getMemoryID(),
true);
this->node_synchronizer = std::make_unique<NodeSynchronizer>(
*this, this->getID() + ":node_synchronizer", this->getMemoryID(), true);
Int psize = this->communicator->getNbProc();
#ifdef AKANTU_USE_SCOTCH
Int prank = this->communicator->whoAmI();
if (prank == 0) {
MeshPartitionScotch partition(*this, spatial_dimension);
partition.partitionate(psize);
MeshUtilsDistribution::distributeMeshCentralized(*this, 0, partition);
} else {
MeshUtilsDistribution::distributeMeshCentralized(*this, 0);
}
#else
if (!(psize == 1)) {
AKANTU_DEBUG_ERROR("Cannot distribute a mesh without a partitioning tool");
}
#endif
this->is_distributed = true;
this->computeBoundingBox();
}
/* -------------------------------------------------------------------------- */
void Mesh::getAssociatedElements(const Array<UInt> & node_list,
Array<Element> & elements) {
for (const auto & node : node_list)
for (const auto & element : *nodes_to_elements[node])
elements.push_back(element);
}
/* -------------------------------------------------------------------------- */
void Mesh::fillNodesToElements() {
Element e;
UInt nb_nodes = nodes->size();
for (UInt n = 0; n < nb_nodes; ++n) {
if (this->nodes_to_elements[n])
this->nodes_to_elements[n]->clear();
else
this->nodes_to_elements[n] = std::make_unique<std::set<Element>>();
}
for (auto ghost_type : ghost_types) {
e.ghost_type = ghost_type;
for (const auto & type :
elementTypes(spatial_dimension, ghost_type, _ek_not_defined)) {
e.type = type;
UInt nb_element = this->getNbElement(type, ghost_type);
Array<UInt>::const_iterator<Vector<UInt>> conn_it =
connectivities(type, ghost_type)
.begin(Mesh::getNbNodesPerElement(type));
for (UInt el = 0; el < nb_element; ++el, ++conn_it) {
e.element = el;
const Vector<UInt> & conn = *conn_it;
for (UInt n = 0; n < conn.size(); ++n)
nodes_to_elements[conn(n)]->insert(e);
}
}
}
}
/* -------------------------------------------------------------------------- */
void Mesh::eraseElements(const Array<Element> & elements) {
ElementTypeMap<UInt> last_element;
RemovedElementsEvent event(*this);
auto & remove_list = event.getList();
auto & new_numbering = event.getNewNumbering();
for (auto && el : elements) {
if (el.ghost_type != _not_ghost) {
auto & count = ghosts_counters(el);
--count;
if (count > 0)
continue;
}
remove_list.push_back(el);
if (not last_element.exists(el.type, el.ghost_type)) {
UInt nb_element = mesh.getNbElement(el.type, el.ghost_type);
last_element(nb_element - 1, el.type, el.ghost_type);
auto & numbering =
new_numbering.alloc(nb_element, 1, el.type, el.ghost_type);
for (auto && pair : enumerate(numbering)) {
std::get<1>(pair) = std::get<0>(pair);
}
}
UInt & pos = last_element(el.type, el.ghost_type);
auto & numbering = new_numbering(el.type, el.ghost_type);
numbering(el.element) = UInt(-1);
numbering(pos) = el.element;
--pos;
}
this->sendEvent(event);
}
} // namespace akantu
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