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rAKA/src/fem/shape_linked.cc
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shape_linked.cc
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/**
* @file shape_linked.cc
* @author Fabian Barras <fabian.barras@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @date Fri Apr 1 12:07:54 2011
*
* @brief
*
* @section LICENSE
*
* Copyright (©) 2010-2011 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_memory.hh"
#include "mesh.hh"
#include "shape_linked.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
ShapeLinked::ShapeLinked(Mesh & mesh, const ID & id, const MemoryID & memory_id) :
ShapeFunctions(mesh, id, memory_id)
{
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLinked::precomputeShapesOnControlPoints(const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
// Real * coord = mesh->getNodes().values;
UInt spatial_dimension = mesh->getSpatialDimension();
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
Real * natural_coords = control_points(type, ghost_type).storage();
UInt nb_points = control_points(type, ghost_type).getSize();
UInt size_of_shapes = ElementClass<type>::getShapeSize();
UInt * elem_val;
UInt nb_element;
std::string ghost = "";
if(ghost_type == _ghost) {
ghost = "ghost_";
}
elem_val = mesh->getConnectivity(type, ghost_type).storage();
nb_element = mesh->getConnectivity(type, ghost_type).getSize();
UInt nb_shape_functions = ElementClass<type>::getNbShapeFunctions();
Vector<Real> ** shapes_tmp = new Vector<Real> *[nb_shape_functions];
for (UInt s = 0; s < nb_shape_functions; ++s) {
std::stringstream sstr_shapes;
sstr_shapes << id << ":" << ghost << "shapes:" << type << ":" << s;
shapes_tmp[s] = &(alloc<Real>(sstr_shapes.str(),
nb_element*nb_points,
size_of_shapes));
Real * shapes_val = shapes_tmp[s]->values;
Real local_coord[spatial_dimension * nb_nodes_per_element];
for (UInt elem = 0; elem < nb_element; ++elem) {
mesh->extractNodalValuesFromElement(mesh->getNodes(),
local_coord,
elem_val+elem*nb_nodes_per_element,
nb_nodes_per_element,
spatial_dimension);
ElementClass<type>::computeShapes(natural_coords,
nb_points,
shapes_val, local_coord, s);
shapes_val += size_of_shapes*nb_points;
}
}
shapes(type, ghost_type) = shapes_tmp;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLinked::precomputeShapeDerivativesOnControlPoints(const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
// Real * coord = mesh->getNodes().values;
UInt spatial_dimension = mesh->getSpatialDimension();
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt size_of_shapesd = ElementClass<type>::getShapeDerivativesSize();
UInt nb_quadrature_points = ElementClass<type>::getNbQuadraturePoints();
Real * natural_coords = control_points(type, ghost_type).storage();
// UInt nb_points = control_points(type, ghost_type)->getSize();
UInt * elem_val;
UInt nb_element;
std::string ghost = "";
if(ghost_type == _ghost) {
ghost = "ghost_";
}
elem_val = mesh->getConnectivity(type, ghost_type).values;
nb_element = mesh->getConnectivity(type, ghost_type).getSize();
UInt nb_shape_functions = ElementClass<type>::getNbShapeFunctions();
Vector<Real> ** shapes_derivatives_tmp = new Vector<Real> *[nb_shape_functions];
for (UInt s = 0; s < nb_shape_functions; ++s) {
std::stringstream sstr_shapesd;
sstr_shapesd << id << ":" << ghost << "shapes_derivatives:" << type << ":" << s;
shapes_derivatives_tmp[s] = &(alloc<Real>(sstr_shapesd.str(),
nb_element*nb_quadrature_points,
size_of_shapesd));
Real * shapesd_val = shapes_derivatives_tmp[s]->values;
Real local_coord[spatial_dimension * nb_nodes_per_element];
for (UInt elem = 0; elem < nb_element; ++elem) {
mesh->extractNodalValuesFromElement(mesh->getNodes(),
local_coord,
elem_val+elem*nb_nodes_per_element,
nb_nodes_per_element,
spatial_dimension);
// compute shape derivatives
ElementClass<type>::computeShapeDerivatives(natural_coords,
nb_quadrature_points,
spatial_dimension,
shapesd_val, local_coord, s);
shapesd_val += size_of_shapesd*nb_quadrature_points;
}
}
shapes_derivatives(type, ghost_type) = shapes_derivatives_tmp;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLinked::interpolateOnControlPoints(const Vector<Real> &in_u,
Vector<Real> &out_uq,
UInt nb_degree_of_freedom,
const GhostType & ghost_type,
const Vector<UInt> * filter_elements,
bool accumulate,
UInt id_shape,
UInt num_degre_of_freedom_to_interpolate,
UInt num_degre_of_freedom_interpolated) const {
AKANTU_DEBUG_IN();
Vector<Real> * shapes_loc;
UInt nb_element;
UInt * conn_val;
shapes_loc = shapes(type, ghost_type)[id_shape];
nb_element = mesh->getNbElement(type, ghost_type);
conn_val = mesh->getConnectivity(type, ghost_type).values;
AKANTU_DEBUG_ASSERT(shapes_loc != NULL,
"No shapes for the type " << type);
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt nb_points = control_points(type, ghost_type).getSize();
UInt size_of_shapes = ElementClass<type>::getShapeSize();
UInt * filter_elem_val = NULL;
if(filter_elements != NULL) {
nb_element = filter_elements->getSize();
filter_elem_val = filter_elements->values;
}
if(!accumulate)
out_uq.clear();
Real * shape_val = shapes_loc->values;
Real * u_val = in_u.values;
Real * uq_val = out_uq.values;
UInt offset_uq = out_uq.getNbComponent()*nb_points;
Real * shape = shape_val;
Real * u = static_cast<Real *>(calloc(nb_nodes_per_element,
sizeof(Real)));
Real * uq = static_cast<Real *>(calloc(nb_points,
sizeof(Real)));
for (UInt el = 0; el < nb_element; ++el) {
UInt el_offset = el * nb_nodes_per_element;
if(filter_elements != NULL) {
shape = shape_val + filter_elem_val[el] * size_of_shapes*nb_points;
el_offset = filter_elem_val[el] * nb_nodes_per_element;
}
for (UInt n = 0; n < nb_nodes_per_element; ++n) {
u[n] = u_val[conn_val[el_offset + n] * nb_degree_of_freedom + num_degre_of_freedom_to_interpolate];
}
/// Uq = Shape * U : matrix product
Math::matrix_matrix(nb_points, 1, nb_nodes_per_element,
shape, u, uq);
for (UInt p = 0; p < nb_points; ++p) {
uq_val[p*nb_degree_of_freedom + num_degre_of_freedom_interpolated] += uq[p];
}
uq_val += offset_uq;
if(filter_elements == NULL) {
shape += size_of_shapes*nb_points;
}
}
free(u);
free(uq);
#undef INIT_VARIABLES
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <ElementType type>
void ShapeLinked::gradientOnControlPoints(const Vector<Real> &in_u,
Vector<Real> &out_nablauq,
UInt nb_degree_of_freedom,
const GhostType & ghost_type,
const Vector<UInt> * filter_elements,
bool accumulate,
UInt id_shape,
UInt num_degre_of_freedom_to_interpolate,
UInt num_degre_of_freedom_interpolated) const {
AKANTU_DEBUG_IN();
Vector<Real> * shapesd_loc;
UInt nb_element;
UInt * conn_val;
shapesd_loc = shapes_derivatives(type, ghost_type)[id_shape];
nb_element = mesh->getNbElement(type, ghost_type);
conn_val = mesh->getConnectivity(type, ghost_type).values;
AKANTU_DEBUG_ASSERT(shapesd_loc != NULL,
"No shapes for the type " << type);
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt size_of_shapes_derivatives = ElementClass<type>::getShapeDerivativesSize();
UInt nb_points = control_points(type, ghost_type).getSize();
UInt element_dimension = ElementClass<type>::getSpatialDimension();
UInt * filter_elem_val = NULL;
if(filter_elements != NULL) {
nb_element = filter_elements->getSize();
filter_elem_val = filter_elements->values;
}
if(!accumulate)
out_nablauq.clear();
Real * shaped_val = shapesd_loc->values;
Real * u_val = in_u.values;
Real * nablauq_val = out_nablauq.values;
UInt offset_nablauq = nb_degree_of_freedom * element_dimension;
UInt offset_shaped = nb_nodes_per_element * element_dimension;
Real * shaped = shaped_val;
Real * u = static_cast<Real *>(calloc(nb_nodes_per_element,
sizeof(Real)));
Real * nabla_uq = static_cast<Real *>(calloc(element_dimension,
sizeof(Real)));
for (UInt el = 0; el < nb_element; ++el) {
UInt el_offset = el * nb_nodes_per_element;
if(filter_elements != NULL) {
shaped = shaped_val + filter_elem_val[el] * size_of_shapes_derivatives*nb_points;
el_offset = filter_elem_val[el] * nb_nodes_per_element;
}
for (UInt n = 0; n < nb_nodes_per_element; ++n) {
u[n] = u_val[conn_val[el_offset + n] * nb_degree_of_freedom + num_degre_of_freedom_to_interpolate];
}
for (UInt q = 0; q < nb_points; ++q) {
/// \nabla(U) = U^t * dphi/dx
Math::matrixt_matrix(1, element_dimension, nb_nodes_per_element,
u,
shaped,
nabla_uq);
for (UInt s = 0; s < element_dimension; ++s) {
nablauq_val[num_degre_of_freedom_interpolated * element_dimension + s] += nabla_uq[s];
}
nablauq_val += offset_nablauq;
shaped += offset_shaped;
}
}
free(u);
free(nabla_uq);
#undef INIT_VARIABLES
AKANTU_DEBUG_OUT();
}
// /* -------------------------------------------------------------------------- */
// template <ElementType type>
// void ShapeLinked::setControlPointsByType(Vector<Real> & points){
// control_points[type] = &points;
// }
/* -------------------------------------------------------------------------- */
/* template instanciation */
/* -------------------------------------------------------------------------- */
#define INSTANCIATE_TEMPLATE_CLASS(type) \
template void ShapeLinked::precomputeShapesOnControlPoints<type>(const GhostType & ghost_type); \
template void ShapeLinked::precomputeShapeDerivativesOnControlPoints<type>(const GhostType & ghost_type); \
template void ShapeLinked::gradientOnControlPoints<type>(const Vector<Real> &in_u, \
Vector<Real> &out_nablauq, \
UInt num_degre_of_freedom, \
const GhostType & ghost_type, \
const Vector<UInt> * filter_elements, \
bool accumulate, \
UInt id_shape, \
UInt num_degre_of_freedom_to_interpolate, \
UInt num_degre_of_freedom_interpolated) const; \
template void ShapeLinked::interpolateOnControlPoints<type>(const Vector<Real> &in_u, \
Vector<Real> &out_uq, \
UInt num_degre_of_freedom, \
const GhostType & ghost_type, \
const Vector<UInt> * filter_elements, \
bool accumulate, \
UInt id_shape, \
UInt num_degre_of_freedom_to_interpolate, \
UInt num_degre_of_freedom_interpolated) const;
AKANTU_BOOST_REGULAR_ELEMENT_LIST(INSTANCIATE_TEMPLATE_CLASS)
#undef INSTANCIATE_TEMPLATE_CLASS
__END_AKANTU__
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