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fe_engine_template_tmpl.hh
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/**
* @file fe_engine_template_tmpl.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Mauro Corrado <mauro.corrado@epfl.ch>
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Marco Vocialta <marco.vocialta@epfl.ch>
*
* @date creation: Tue Feb 15 2011
* @date last modification: Thu Nov 19 2015
*
* @brief Template implementation of FEEngineTemplate
*
* @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_common.hh"
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::FEEngineTemplate(
Mesh & mesh, UInt spatial_dimension, ID id, MemoryID memory_id)
: FEEngine(mesh, spatial_dimension, id, memory_id),
integrator(mesh, id, memory_id), shape_functions(mesh, id, memory_id) {}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::~FEEngineTemplate() {}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct GradientOnIntegrationPointsHelper {
template <class S>
static void call(__attribute__((unused)) const S & shape_functions,
__attribute__((unused)) Mesh & mesh,
__attribute__((unused)) const Array<Real> & u,
__attribute__((unused)) Array<Real> & nablauq,
__attribute__((unused)) const UInt nb_degree_of_freedom,
__attribute__((unused)) const ElementType & type,
__attribute__((unused)) const GhostType & ghost_type,
__attribute__((unused))
const Array<UInt> & filter_elements) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
};
#define COMPUTE_GRADIENT(type) \
if (element_dimension == ElementClass<type>::getSpatialDimension()) \
shape_functions.template gradientOnIntegrationPoints<type>( \
u, nablauq, nb_degree_of_freedom, ghost_type, filter_elements);
#define AKANTU_SPECIALIZE_GRADIENT_ON_INTEGRATION_POINTS_HELPER(kind) \
template <> struct GradientOnIntegrationPointsHelper<kind> { \
template <class S> \
static void call(const S & shape_functions, Mesh & mesh, \
const Array<Real> & u, Array<Real> & nablauq, \
const UInt nb_degree_of_freedom, \
const ElementType & type, const GhostType & ghost_type, \
const Array<UInt> & filter_elements) { \
UInt element_dimension = mesh.getSpatialDimension(type); \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(COMPUTE_GRADIENT, kind); \
} \
};
AKANTU_BOOST_ALL_KIND_LIST(
AKANTU_SPECIALIZE_GRADIENT_ON_INTEGRATION_POINTS_HELPER,
AKANTU_FE_ENGINE_LIST_GRADIENT_ON_INTEGRATION_POINTS)
#undef AKANTU_SPECIALIZE_GRADIENT_ON_INTEGRATION_POINTS_HELPER
#undef COMPUTE_GRADIENT
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
gradientOnIntegrationPoints(const Array<Real> & u, Array<Real> & nablauq,
const UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type,
const Array<UInt> & filter_elements) const {
AKANTU_DEBUG_IN();
UInt nb_element = mesh.getNbElement(type, ghost_type);
if (filter_elements != empty_filter)
nb_element = filter_elements.getSize();
UInt nb_points =
shape_functions.getIntegrationPoints(type, ghost_type).cols();
#ifndef AKANTU_NDEBUG
UInt element_dimension = mesh.getSpatialDimension(type);
AKANTU_DEBUG_ASSERT(u.getSize() == mesh.getNbNodes(),
"The vector u(" << u.getID()
<< ") has not the good size.");
AKANTU_DEBUG_ASSERT(u.getNbComponent() == nb_degree_of_freedom,
"The vector u("
<< u.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(
nablauq.getNbComponent() == nb_degree_of_freedom * element_dimension,
"The vector nablauq(" << nablauq.getID()
<< ") has not the good number of component.");
// AKANTU_DEBUG_ASSERT(nablauq.getSize() == nb_element * nb_points,
// "The vector nablauq(" << nablauq.getID()
// << ") has not the good size.");
#endif
nablauq.resize(nb_element * nb_points);
GradientOnIntegrationPointsHelper<kind>::call(
shape_functions, mesh, u, nablauq, nb_degree_of_freedom, type, ghost_type,
filter_elements);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::initShapeFunctions(
const GhostType & ghost_type) {
initShapeFunctions(mesh.getNodes(), ghost_type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::initShapeFunctions(
const Array<Real> & nodes, const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
Mesh::type_iterator it = mesh.firstType(element_dimension, ghost_type, kind);
Mesh::type_iterator end = mesh.lastType(element_dimension, ghost_type, kind);
for (; it != end; ++it) {
ElementType type = *it;
integrator.initIntegrator(nodes, type, ghost_type);
const Matrix<Real> & control_points =
getIntegrationPoints(type, ghost_type);
shape_functions.initShapeFunctions(nodes, control_points, type, ghost_type);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct IntegrateHelper {};
#define INTEGRATE(type) \
integrator.template integrate<type>(f, intf, nb_degree_of_freedom, \
ghost_type, filter_elements);
#define AKANTU_SPECIALIZE_INTEGRATE_HELPER(kind) \
template <> struct IntegrateHelper<kind> { \
template <class I> \
static void call(const I & integrator, const Array<Real> & f, \
Array<Real> & intf, UInt nb_degree_of_freedom, \
const ElementType & type, const GhostType & ghost_type, \
const Array<UInt> & filter_elements) { \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(INTEGRATE, kind); \
} \
};
AKANTU_BOOST_ALL_KIND(AKANTU_SPECIALIZE_INTEGRATE_HELPER)
#undef AKANTU_SPECIALIZE_INTEGRATE_HELPER
#undef INTEGRATE
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::integrate(
const Array<Real> & f, Array<Real> & intf, UInt nb_degree_of_freedom,
const ElementType & type, const GhostType & ghost_type,
const Array<UInt> & filter_elements) const {
UInt nb_element = mesh.getNbElement(type, ghost_type);
if (filter_elements != empty_filter)
nb_element = filter_elements.getSize();
#ifndef AKANTU_NDEBUG
UInt nb_quadrature_points = getNbIntegrationPoints(type);
AKANTU_DEBUG_ASSERT(f.getSize() == nb_element * nb_quadrature_points,
"The vector f(" << f.getID() << " size " << f.getSize()
<< ") has not the good size ("
<< nb_element << ").");
AKANTU_DEBUG_ASSERT(f.getNbComponent() == nb_degree_of_freedom,
"The vector f("
<< f.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(intf.getNbComponent() == nb_degree_of_freedom,
"The vector intf("
<< intf.getID()
<< ") has not the good number of component.");
#endif
intf.resize(nb_element);
IntegrateHelper<kind>::call(integrator, f, intf, nb_degree_of_freedom, type,
ghost_type, filter_elements);
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct IntegrateScalarHelper {};
#define INTEGRATE(type) \
integral = \
integrator.template integrate<type>(f, ghost_type, filter_elements);
#define AKANTU_SPECIALIZE_INTEGRATE_SCALAR_HELPER(kind) \
template <> struct IntegrateScalarHelper<kind> { \
template <class I> \
static Real call(const I & integrator, const Array<Real> & f, \
const ElementType & type, const GhostType & ghost_type, \
const Array<UInt> & filter_elements) { \
Real integral = 0.; \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(INTEGRATE, kind); \
return integral; \
} \
};
AKANTU_BOOST_ALL_KIND(AKANTU_SPECIALIZE_INTEGRATE_SCALAR_HELPER)
#undef AKANTU_SPECIALIZE_INTEGRATE_SCALAR_HELPER
#undef INTEGRATE
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
Real FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::integrate(
const Array<Real> & f, const ElementType & type,
const GhostType & ghost_type, const Array<UInt> & filter_elements) const {
AKANTU_DEBUG_IN();
#ifndef AKANTU_NDEBUG
// std::stringstream sstr; sstr << ghost_type;
// AKANTU_DEBUG_ASSERT(sstr.str() == nablauq.getTag(),
// "The vector " << nablauq.getID() << " is not taged " <<
// ghost_type);
UInt nb_element = mesh.getNbElement(type, ghost_type);
if (filter_elements != empty_filter)
nb_element = filter_elements.getSize();
UInt nb_quadrature_points = getNbIntegrationPoints(type, ghost_type);
AKANTU_DEBUG_ASSERT(f.getSize() == nb_element * nb_quadrature_points,
"The vector f("
<< f.getID() << ") has not the good size. ("
<< f.getSize()
<< "!=" << nb_quadrature_points * nb_element << ")");
AKANTU_DEBUG_ASSERT(f.getNbComponent() == 1,
"The vector f("
<< f.getID()
<< ") has not the good number of component.");
#endif
Real integral = IntegrateScalarHelper<kind>::call(
integrator, f, type, ghost_type, filter_elements);
AKANTU_DEBUG_OUT();
return integral;
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct IntegrateScalarOnOneElementHelper {};
#define INTEGRATE(type) \
res = integrator.template integrate<type>(f, index, ghost_type);
#define AKANTU_SPECIALIZE_INTEGRATE_SCALAR_ON_ONE_ELEMENT_HELPER(kind) \
template <> struct IntegrateScalarOnOneElementHelper<kind> { \
template <class I> \
static Real call(const I & integrator, const Vector<Real> & f, \
const ElementType & type, UInt index, \
const GhostType & ghost_type) { \
Real res = 0.; \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(INTEGRATE, kind); \
return res; \
} \
};
AKANTU_BOOST_ALL_KIND(AKANTU_SPECIALIZE_INTEGRATE_SCALAR_ON_ONE_ELEMENT_HELPER)
#undef AKANTU_SPECIALIZE_INTEGRATE_SCALAR_ON_ONE_ELEMENT_HELPER
#undef INTEGRATE
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
Real FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::integrate(
const Vector<Real> & f, const ElementType & type, UInt index,
const GhostType & ghost_type) const {
Real res = IntegrateScalarOnOneElementHelper<kind>::call(integrator, f, type,
index, ghost_type);
return res;
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct IntegrateOnIntegrationPointsHelper {};
#define INTEGRATE(type) \
integrator.template integrateOnIntegrationPoints<type>( \
f, intf, nb_degree_of_freedom, ghost_type, filter_elements);
#define AKANTU_SPECIALIZE_INTEGRATE_ON_INTEGRATION_POINTS_HELPER(kind) \
template <> struct IntegrateOnIntegrationPointsHelper<kind> { \
template <class I> \
static void call(const I & integrator, const Array<Real> & f, \
Array<Real> & intf, UInt nb_degree_of_freedom, \
const ElementType & type, const GhostType & ghost_type, \
const Array<UInt> & filter_elements) { \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(INTEGRATE, kind); \
} \
};
AKANTU_BOOST_ALL_KIND(AKANTU_SPECIALIZE_INTEGRATE_ON_INTEGRATION_POINTS_HELPER)
#undef AKANTU_SPECIALIZE_INTEGRATE_ON_INTEGRATION_POINTS_HELPER
#undef INTEGRATE
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
integrateOnIntegrationPoints(const Array<Real> & f, Array<Real> & intf,
UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type,
const Array<UInt> & filter_elements) const {
UInt nb_element = mesh.getNbElement(type, ghost_type);
if (filter_elements != empty_filter)
nb_element = filter_elements.getSize();
UInt nb_quadrature_points = getNbIntegrationPoints(type);
#ifndef AKANTU_NDEBUG
// std::stringstream sstr; sstr << ghost_type;
// AKANTU_DEBUG_ASSERT(sstr.str() == nablauq.getTag(),
// "The vector " << nablauq.getID() << " is not taged " <<
// ghost_type);
AKANTU_DEBUG_ASSERT(f.getSize() == nb_element * nb_quadrature_points,
"The vector f(" << f.getID() << " size " << f.getSize()
<< ") has not the good size ("
<< nb_element << ").");
AKANTU_DEBUG_ASSERT(f.getNbComponent() == nb_degree_of_freedom,
"The vector f("
<< f.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(intf.getNbComponent() == nb_degree_of_freedom,
"The vector intf("
<< intf.getID()
<< ") has not the good number of component.");
#endif
intf.resize(nb_element * nb_quadrature_points);
IntegrateOnIntegrationPointsHelper<kind>::call(integrator, f, intf,
nb_degree_of_freedom, type,
ghost_type, filter_elements);
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct InterpolateOnIntegrationPointsHelper {
template <class S>
static void call(__attribute__((unused)) const S & shape_functions,
__attribute__((unused)) const Array<Real> & u,
__attribute__((unused)) Array<Real> & uq,
__attribute__((unused)) const UInt nb_degree_of_freedom,
__attribute__((unused)) const ElementType & type,
__attribute__((unused)) const GhostType & ghost_type,
__attribute__((unused))
const Array<UInt> & filter_elements) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
};
#define INTERPOLATE(type) \
shape_functions.template interpolateOnIntegrationPoints<type>( \
u, uq, nb_degree_of_freedom, ghost_type, filter_elements);
#define AKANTU_SPECIALIZE_INTERPOLATE_ON_INTEGRATION_POINTS_HELPER(kind) \
template <> struct InterpolateOnIntegrationPointsHelper<kind> { \
template <class S> \
static void call(const S & shape_functions, const Array<Real> & u, \
Array<Real> & uq, const UInt nb_degree_of_freedom, \
const ElementType & type, const GhostType & ghost_type, \
const Array<UInt> & filter_elements) { \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(INTERPOLATE, kind); \
} \
};
AKANTU_BOOST_ALL_KIND_LIST(
AKANTU_SPECIALIZE_INTERPOLATE_ON_INTEGRATION_POINTS_HELPER,
AKANTU_FE_ENGINE_LIST_INTERPOLATE_ON_INTEGRATION_POINTS)
#undef AKANTU_SPECIALIZE_INTERPOLATE_ON_INTEGRATION_POINTS_HELPER
#undef INTERPOLATE
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
interpolateOnIntegrationPoints(const Array<Real> & u, Array<Real> & uq,
const UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type,
const Array<UInt> & filter_elements) const {
AKANTU_DEBUG_IN();
UInt nb_points =
shape_functions.getIntegrationPoints(type, ghost_type).cols();
UInt nb_element = mesh.getNbElement(type, ghost_type);
if (filter_elements != empty_filter)
nb_element = filter_elements.getSize();
#ifndef AKANTU_NDEBUG
AKANTU_DEBUG_ASSERT(u.getSize() == mesh.getNbNodes(),
"The vector u(" << u.getID()
<< ") has not the good size.");
AKANTU_DEBUG_ASSERT(u.getNbComponent() == nb_degree_of_freedom,
"The vector u("
<< u.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(uq.getNbComponent() == nb_degree_of_freedom,
"The vector uq("
<< uq.getID()
<< ") has not the good number of component.");
#endif
uq.resize(nb_element * nb_points);
InterpolateOnIntegrationPointsHelper<kind>::call(shape_functions, u, uq,
nb_degree_of_freedom, type,
ghost_type, filter_elements);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
interpolateOnIntegrationPoints(
const Array<Real> & u, ElementTypeMapArray<Real> & uq,
const ElementTypeMapArray<UInt> * filter_elements) const {
AKANTU_DEBUG_IN();
const Array<UInt> * filter = NULL;
for (ghost_type_t::iterator gt = ghost_type_t::begin();
gt != ghost_type_t::end(); ++gt) {
GhostType ghost_type = *gt;
ElementTypeMapArray<Real>::type_iterator it =
uq.firstType(_all_dimensions, ghost_type, kind);
ElementTypeMapArray<Real>::type_iterator last =
uq.lastType(_all_dimensions, ghost_type, kind);
for (; it != last; ++it) {
ElementType type = *it;
UInt nb_quad_per_element = getNbIntegrationPoints(type, ghost_type);
UInt nb_element = 0;
if (filter_elements) {
filter = &((*filter_elements)(type, ghost_type));
nb_element = filter->getSize();
} else {
filter = &empty_filter;
nb_element = mesh.getNbElement(type, ghost_type);
}
UInt nb_tot_quad = nb_quad_per_element * nb_element;
Array<Real> & quad = uq(type, ghost_type);
quad.resize(nb_tot_quad);
interpolateOnIntegrationPoints(u, quad, quad.getNbComponent(), type,
ghost_type, *filter);
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeIntegrationPointsCoordinates(
ElementTypeMapArray<Real> & quadrature_points_coordinates,
const ElementTypeMapArray<UInt> * filter_elements) const {
const Array<Real> & nodes_coordinates = mesh.getNodes();
interpolateOnIntegrationPoints(
nodes_coordinates, quadrature_points_coordinates, filter_elements);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeIntegrationPointsCoordinates(
Array<Real> & quadrature_points_coordinates, const ElementType & type,
const GhostType & ghost_type,
const Array<UInt> & filter_elements) const {
const Array<Real> & nodes_coordinates = mesh.getNodes();
UInt spatial_dimension = mesh.getSpatialDimension();
interpolateOnIntegrationPoints(
nodes_coordinates, quadrature_points_coordinates, spatial_dimension, type,
ghost_type, filter_elements);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
initElementalFieldInterpolationFromIntegrationPoints(
const ElementTypeMapArray<Real> & interpolation_points_coordinates,
ElementTypeMapArray<Real> & interpolation_points_coordinates_matrices,
ElementTypeMapArray<Real> & quad_points_coordinates_inv_matrices,
const ElementTypeMapArray<UInt> * element_filter) const {
AKANTU_DEBUG_IN();
UInt spatial_dimension = this->mesh.getSpatialDimension();
ElementTypeMapArray<Real> quadrature_points_coordinates(
"quadrature_points_coordinates_for_interpolation", getID(),
getMemoryID());
mesh.initElementTypeMapArray(quadrature_points_coordinates, spatial_dimension,
spatial_dimension);
computeIntegrationPointsCoordinates(quadrature_points_coordinates,
element_filter);
shape_functions.initElementalFieldInterpolationFromIntegrationPoints(
interpolation_points_coordinates,
interpolation_points_coordinates_matrices,
quad_points_coordinates_inv_matrices, quadrature_points_coordinates,
element_filter);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
interpolateElementalFieldFromIntegrationPoints(
const ElementTypeMapArray<Real> & field,
const ElementTypeMapArray<Real> & interpolation_points_coordinates,
ElementTypeMapArray<Real> & result, const GhostType ghost_type,
const ElementTypeMapArray<UInt> * element_filter) const {
ElementTypeMapArray<Real> interpolation_points_coordinates_matrices(
"interpolation_points_coordinates_matrices", id, memory_id);
ElementTypeMapArray<Real> quad_points_coordinates_inv_matrices(
"quad_points_coordinates_inv_matrices", id, memory_id);
initElementalFieldInterpolationFromIntegrationPoints(
interpolation_points_coordinates,
interpolation_points_coordinates_matrices,
quad_points_coordinates_inv_matrices, element_filter);
interpolateElementalFieldFromIntegrationPoints(
field, interpolation_points_coordinates_matrices,
quad_points_coordinates_inv_matrices, result, ghost_type, element_filter);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
interpolateElementalFieldFromIntegrationPoints(
const ElementTypeMapArray<Real> & field,
const ElementTypeMapArray<Real> &
interpolation_points_coordinates_matrices,
const ElementTypeMapArray<Real> & quad_points_coordinates_inv_matrices,
ElementTypeMapArray<Real> & result, const GhostType ghost_type,
const ElementTypeMapArray<UInt> * element_filter) const {
shape_functions.interpolateElementalFieldFromIntegrationPoints(
field, interpolation_points_coordinates_matrices,
quad_points_coordinates_inv_matrices, result, ghost_type, element_filter);
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct InterpolateHelper {
template <class S>
static void call(__attribute__((unused)) const S & shape_functions,
__attribute__((unused)) const Vector<Real> & real_coords,
__attribute__((unused)) UInt elem,
__attribute__((unused)) const Matrix<Real> & nodal_values,
__attribute__((unused)) Vector<Real> & interpolated,
__attribute__((unused)) const ElementType & type,
__attribute__((unused)) const GhostType & ghost_type) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
};
#define INTERPOLATE(type) \
shape_functions.template interpolate<type>( \
real_coords, element, nodal_values, interpolated, ghost_type);
#define AKANTU_SPECIALIZE_INTERPOLATE_HELPER(kind) \
template <> struct InterpolateHelper<kind> { \
template <class S> \
static void call(const S & shape_functions, \
const Vector<Real> & real_coords, UInt element, \
const Matrix<Real> & nodal_values, \
Vector<Real> & interpolated, const ElementType & type, \
const GhostType & ghost_type) { \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(INTERPOLATE, kind); \
} \
};
AKANTU_BOOST_ALL_KIND_LIST(AKANTU_SPECIALIZE_INTERPOLATE_HELPER,
AKANTU_FE_ENGINE_LIST_INTERPOLATE)
#undef AKANTU_SPECIALIZE_INTERPOLATE_HELPER
#undef INTERPOLATE
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::interpolate(
const Vector<Real> & real_coords, const Matrix<Real> & nodal_values,
Vector<Real> & interpolated, const Element & element) const {
AKANTU_DEBUG_IN();
InterpolateHelper<kind>::call(shape_functions, real_coords, element.element,
nodal_values, interpolated, element.type,
element.ghost_type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeNormalsOnIntegrationPoints(const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
computeNormalsOnIntegrationPoints(mesh.getNodes(), ghost_type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeNormalsOnIntegrationPoints(const Array<Real> & field,
const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
// Real * coord = mesh.getNodes().storage();
UInt spatial_dimension = mesh.getSpatialDimension();
// allocate the normal arrays
Mesh::type_iterator it = mesh.firstType(element_dimension, ghost_type, kind);
Mesh::type_iterator end = mesh.lastType(element_dimension, ghost_type, kind);
for (; it != end; ++it) {
ElementType type = *it;
UInt size = mesh.getNbElement(type, ghost_type);
if (normals_on_integration_points.exists(type, ghost_type)) {
normals_on_integration_points(type, ghost_type).resize(size);
} else {
normals_on_integration_points.alloc(size, spatial_dimension, type,
ghost_type);
}
}
// loop over the type to build the normals
it = mesh.firstType(element_dimension, ghost_type, kind);
for (; it != end; ++it) {
Array<Real> & normals_on_quad =
normals_on_integration_points(*it, ghost_type);
computeNormalsOnIntegrationPoints(field, normals_on_quad, *it, ghost_type);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct ComputeNormalsOnIntegrationPoints {
template <template <ElementKind, class> class I,
template <ElementKind> class S, ElementKind k, class IOF>
static void call(__attribute__((unused))
const FEEngineTemplate<I, S, k, IOF> & fem,
__attribute__((unused)) const Array<Real> & field,
__attribute__((unused)) Array<Real> & normal,
__attribute__((unused)) const ElementType & type,
__attribute__((unused)) const GhostType & ghost_type) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
};
#define COMPUTE_NORMALS_ON_INTEGRATION_POINTS(type) \
fem.template computeNormalsOnIntegrationPoints<type>(field, normal, \
ghost_type);
#define AKANTU_SPECIALIZE_COMPUTE_NORMALS_ON_INTEGRATION_POINTS(kind) \
template <> struct ComputeNormalsOnIntegrationPoints<kind> { \
template <template <ElementKind, class> class I, \
template <ElementKind> class S, ElementKind k, class IOF> \
static void call(const FEEngineTemplate<I, S, k, IOF> & fem, \
const Array<Real> & field, Array<Real> & normal, \
const ElementType & type, const GhostType & ghost_type) { \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(COMPUTE_NORMALS_ON_INTEGRATION_POINTS, \
kind); \
} \
};
AKANTU_BOOST_ALL_KIND_LIST(
AKANTU_SPECIALIZE_COMPUTE_NORMALS_ON_INTEGRATION_POINTS,
AKANTU_FE_ENGINE_LIST_COMPUTE_NORMALS_ON_INTEGRATION_POINTS)
#undef AKANTU_SPECIALIZE_COMPUTE_NORMALS_ON_INTEGRATION_POINTS
#undef COMPUTE_NORMALS_ON_INTEGRATION_POINTS
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeNormalsOnIntegrationPoints(const Array<Real> & field,
Array<Real> & normal,
const ElementType & type,
const GhostType & ghost_type) const {
ComputeNormalsOnIntegrationPoints<kind>::call(*this, field, normal, type,
ghost_type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <ElementType type>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeNormalsOnIntegrationPoints(const Array<Real> & field,
Array<Real> & normal,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
UInt spatial_dimension = mesh.getSpatialDimension();
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt nb_points = getNbIntegrationPoints(type, ghost_type);
UInt nb_element = mesh.getConnectivity(type, ghost_type).getSize();
normal.resize(nb_element * nb_points);
Array<Real>::matrix_iterator normals_on_quad =
normal.begin_reinterpret(spatial_dimension, nb_points, nb_element);
Array<Real> f_el(0, spatial_dimension * nb_nodes_per_element);
FEEngine::extractNodalToElementField(mesh, field, f_el, type, ghost_type);
const Matrix<Real> & quads =
integrator.template getIntegrationPoints<type>(ghost_type);
Array<Real>::matrix_iterator f_it =
f_el.begin(spatial_dimension, nb_nodes_per_element);
for (UInt elem = 0; elem < nb_element; ++elem) {
ElementClass<type>::computeNormalsOnNaturalCoordinates(quads, *f_it,
*normals_on_quad);
++normals_on_quad;
++f_it;
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/* Matrix lumping functions */
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct AssembleLumpedTemplateHelper {};
#define ASSEMBLE_LUMPED(type) \
fem.template assembleLumpedTemplate<type>( \
field_1, nb_degree_of_freedom, lumped, equation_number, ghost_type)
#define AKANTU_SPECIALIZE_ASSEMBLE_HELPER(kind) \
template <> struct AssembleLumpedTemplateHelper<kind> { \
template <template <ElementKind, class> class I, \
template <ElementKind> class S, ElementKind k, class IOF> \
static void call(const FEEngineTemplate<I, S, k, IOF> & fem, \
const Array<Real> & field_1, UInt nb_degree_of_freedom, \
Array<Real> & lumped, const Array<Int> & equation_number, \
ElementType type, const GhostType & ghost_type) { \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(ASSEMBLE_LUMPED, kind); \
} \
};
AKANTU_BOOST_ALL_KIND(AKANTU_SPECIALIZE_ASSEMBLE_HELPER)
#undef AKANTU_SPECIALIZE_ASSEMBLE_HELPER
#undef ASSEMBLE_LUMPED
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::assembleFieldLumped(
const Array<Real> & field_1, UInt nb_degree_of_freedom,
Array<Real> & lumped, const Array<Int> & equation_number, ElementType type,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
AssembleLumpedTemplateHelper<kind>::call(*this, field_1, nb_degree_of_freedom,
lumped, equation_number, type,
ghost_type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct AssembleFieldMatrixHelper {};
#define ASSEMBLE_MATRIX(type) \
fem.template assembleFieldMatrix<Functor, type>( \
field_funct, nb_degree_of_freedom, matrix, ghost_type)
#define AKANTU_SPECIALIZE_ASSEMBLE_FIELD_MATRIX_HELPER(kind) \
template <> struct AssembleFieldMatrixHelper<kind> { \
template <template <ElementKind, class> class I, \
template <ElementKind> class S, ElementKind k, class IOF, \
class Functor> \
static void call(const FEEngineTemplate<I, S, k, IOF> & fem, \
Functor field_funct, UInt nb_degree_of_freedom, \
SparseMatrix & matrix, ElementType type, \
const GhostType & ghost_type) { \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(ASSEMBLE_MATRIX, kind); \
} \
};
AKANTU_BOOST_ALL_KIND(AKANTU_SPECIALIZE_ASSEMBLE_FIELD_MATRIX_HELPER)
#undef AKANTU_SPECIALIZE_ASSEMBLE_FIELD_MATRIX_HELPER
#undef ASSEMBLE_MATRIX
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <class Functor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::assembleFieldMatrix(
Functor field_funct, UInt nb_degree_of_freedom, SparseMatrix & matrix,
ElementType type, const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
AssembleFieldMatrixHelper<kind>::template call(
*this, field_funct, nb_degree_of_freedom, matrix, type, ghost_type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <ElementType type>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
assembleLumpedTemplate(const Array<Real> & field_1,
UInt nb_degree_of_freedom, Array<Real> & lumped,
const Array<Int> & equation_number,
const GhostType & ghost_type) const {
this->template assembleLumpedRowSum<type>(
field_1, nb_degree_of_freedom, lumped, equation_number, ghost_type);
}
/* -------------------------------------------------------------------------- */
/**
* @f$ \tilde{M}_{i} = \sum_j M_{ij} = \sum_j \int \rho \varphi_i \varphi_j dV =
* \int \rho \varphi_i dV @f$
*/
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <ElementType type>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
assembleLumpedRowSum(const Array<Real> & field_1, UInt nb_degree_of_freedom,
Array<Real> & lumped,
const Array<Int> & equation_number,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
UInt shapes_size = ElementClass<type>::getShapeSize();
Array<Real> * field_times_shapes =
new Array<Real>(0, shapes_size * nb_degree_of_freedom);
Array<Real> * field =
new Array<Real>(field_1.getSize(), nb_degree_of_freedom);
Array<Real>::const_scalar_iterator f1_it = field_1.begin();
Array<Real>::const_scalar_iterator f1_end = field_1.end();
Array<Real>::vector_iterator f_it = field->begin(nb_degree_of_freedom);
for (; f1_it != f1_end; ++f1_it, ++f_it) {
f_it->set(*f1_it);
}
shape_functions.template fieldTimesShapes<type>(*field, *field_times_shapes,
ghost_type);
delete field;
UInt nb_element = mesh.getNbElement(type, ghost_type);
Array<Real> * int_field_times_shapes = new Array<Real>(
nb_element, shapes_size * nb_degree_of_freedom, "inte_rho_x_shapes");
integrator.template integrate<type>(
*field_times_shapes, *int_field_times_shapes,
nb_degree_of_freedom * shapes_size, ghost_type, empty_filter);
delete field_times_shapes;
assembleArray(*int_field_times_shapes, lumped, equation_number,
nb_degree_of_freedom, type, ghost_type);
delete int_field_times_shapes;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* @f$ \tilde{M}_{i} = c * M_{ii} = \int_{V_e} \rho dV @f$
*/
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <ElementType type>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
assembleLumpedDiagonalScaling(const Array<Real> & field_1,
UInt nb_degree_of_freedom,
Array<Real> & lumped,
const Array<Int> & equation_number,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
const ElementType & type_p1 = ElementClass<type>::getP1ElementType();
UInt nb_nodes_per_element_p1 = Mesh::getNbNodesPerElement(type_p1);
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt nb_quadrature_points =
integrator.template getIntegrationPoints<type>(ghost_type).cols();
UInt nb_element = field_1.getSize() / nb_quadrature_points;
Vector<Real> nodal_factor(nb_nodes_per_element);
#define ASSIGN_WEIGHT_TO_NODES(corner, mid) \
{ \
for (UInt n = 0; n < nb_nodes_per_element_p1; n++) \
nodal_factor(n) = corner; \
for (UInt n = nb_nodes_per_element_p1; n < nb_nodes_per_element; n++) \
nodal_factor(n) = mid; \
}
if (type == _triangle_6)
ASSIGN_WEIGHT_TO_NODES(1. / 12., 1. / 4.);
if (type == _tetrahedron_10)
ASSIGN_WEIGHT_TO_NODES(1. / 32., 7. / 48.);
if (type == _quadrangle_8)
ASSIGN_WEIGHT_TO_NODES(3. / 76., 16. / 76.); /** coeff. derived by scaling
* the diagonal terms of the corresponding
* consistent mass computed with 3x3 gauss points;
* coeff. are (1./36., 8./36.) for 2x2 gauss points */
if (type == _hexahedron_20)
ASSIGN_WEIGHT_TO_NODES(7. / 248., 16. / 248.); /** coeff. derived by scaling
* the diagonal terms of the corresponding
* consistent mass computed with 3x3x3 gauss points;
* coeff. are (1./40.,
* 1./15.) for 2x2x2 gauss points */
if (type == _pentahedron_15) {
// coefficients derived by scaling the diagonal terms of the corresponding
// consistent mass computed with 8 gauss points;
for (UInt n = 0; n < nb_nodes_per_element_p1; n++)
nodal_factor(n) = 51. / 2358.;
Real mid_triangle = 192. / 2358.;
Real mid_quadrangle = 300. / 2358.;
nodal_factor(6) = mid_triangle;
nodal_factor(7) = mid_triangle;
nodal_factor(8) = mid_triangle;
nodal_factor(9) = mid_quadrangle;
nodal_factor(10) = mid_quadrangle;
nodal_factor(11) = mid_quadrangle;
nodal_factor(12) = mid_triangle;
nodal_factor(13) = mid_triangle;
nodal_factor(14) = mid_triangle;
}
if (nb_element == 0) {
AKANTU_DEBUG_OUT();
return;
}
#undef ASSIGN_WEIGHT_TO_NODES
/// compute @f$ \int \rho dV = \rho V @f$ for each element
Array<Real> * int_field_1 =
new Array<Real>(field_1.getSize(), 1, "inte_rho_x_1");
integrator.template integrate<type>(field_1, *int_field_1, 1, ghost_type,
empty_filter);
/// distribute the mass of the element to the nodes
Array<Real> * lumped_per_node = new Array<Real>(
nb_element, nb_degree_of_freedom * nb_nodes_per_element, "mass_per_node");
Array<Real>::const_scalar_iterator int_field_1_it = int_field_1->begin();
Array<Real>::matrix_iterator lumped_per_node_it =
lumped_per_node->begin(nb_degree_of_freedom, nb_nodes_per_element);
for (UInt e = 0; e < nb_element; ++e) {
for (UInt n = 0; n < nb_nodes_per_element; ++n) {
Real lmass = *int_field_1_it * nodal_factor(n);
Vector<Real> l = (*lumped_per_node_it)(n);
l.set(lmass);
}
++int_field_1_it;
++lumped_per_node_it;
}
delete int_field_1;
// lumped_per_node->extendComponentsInterlaced(nb_degree_of_freedom,1);
assembleArray(*lumped_per_node, lumped, equation_number, nb_degree_of_freedom,
type, ghost_type);
delete lumped_per_node;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* @f$ \tilde{M}_{i} = \sum_j M_{ij} = \sum_j \int \rho \varphi_i \varphi_j dV =
* \int \rho \varphi_i dV @f$
*/
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <class Functor, ElementType type>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::assembleFieldMatrix(
Functor & field_funct, UInt nb_degree_of_freedom, SparseMatrix & matrix,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
UInt shapes_size = ElementClass<type>::getShapeSize();
UInt lmat_size = nb_degree_of_freedom * shapes_size;
UInt nb_element = mesh.getNbElement(type, ghost_type);
const UInt polynomial_degree =
2 * ElementClassProperty<type>::polynomial_degree;
Matrix<Real> integration_points =
integrator.template getIntegrationPoints<type, polynomial_degree>();
UInt nb_integration_points = integration_points.cols();
UInt vect_size = nb_integration_points * nb_element;
Array<Real> shapes(0, shapes_size);
shape_functions.template computeShapesOnIntegrationPoints<type>(
mesh.getNodes(), integration_points, shapes, ghost_type);
Array<Real> integration_points_pos(vect_size, mesh.getSpatialDimension());
shape_functions.template interpolateOnIntegrationPoints<type>(
mesh.getNodes(), integration_points_pos, mesh.getSpatialDimension(), shapes, ghost_type, empty_filter);
Array<Real> * modified_shapes =
new Array<Real>(vect_size, lmat_size * nb_degree_of_freedom);
modified_shapes->clear();
Array<Real> * local_mat = new Array<Real>(vect_size, lmat_size * lmat_size);
Array<Real>::matrix_iterator mshapes_it =
modified_shapes->begin(lmat_size, nb_degree_of_freedom);
Array<Real>::const_vector_iterator shapes_it = shapes.begin(shapes_size);
for (UInt q = 0; q < vect_size; ++q, ++mshapes_it, ++shapes_it) {
for (UInt d = 0; d < nb_degree_of_freedom; ++d) {
for (UInt s = 0; s < shapes_size; ++s) {
(*mshapes_it)(s * nb_degree_of_freedom + d, d) = (*shapes_it)(s);
}
}
}
Array<Real> field(vect_size, nb_degree_of_freedom);
Array<Real>::matrix_iterator field_c_it = field.begin_reinterpret(
nb_degree_of_freedom, nb_integration_points, nb_element);
Array<Real>::const_matrix_iterator pos_it =
integration_points_pos.begin_reinterpret(
mesh.getSpatialDimension(), nb_integration_points, nb_element);
Element el;
el.type = type, el.ghost_type = ghost_type;
for (el.element = 0; el.element < nb_element;
++el.element, ++field_c_it, ++pos_it) {
field_funct(*field_c_it, el, *pos_it);
}
mshapes_it = modified_shapes->begin(lmat_size, nb_degree_of_freedom);
Array<Real>::matrix_iterator lmat = local_mat->begin(lmat_size, lmat_size);
Real * field_val = field.storage();
for (UInt q = 0; q < vect_size; ++q, ++lmat, ++mshapes_it, ++field_val) {
(*lmat).mul<false, true>(*mshapes_it, *mshapes_it, *field_val);
}
delete modified_shapes;
Array<Real> * int_field_times_shapes =
new Array<Real>(nb_element, lmat_size * lmat_size, "inte_rho_x_shapes");
this->integrator.template integrate<type, polynomial_degree>(
*local_mat, *int_field_times_shapes, lmat_size * lmat_size, ghost_type);
delete local_mat;
assembleMatrix(*int_field_times_shapes, matrix, nb_degree_of_freedom, type,
ghost_type);
delete int_field_times_shapes;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct InverseMapHelper {
template <class S>
static void call(__attribute__((unused)) const S & shape_functions,
__attribute__((unused)) const Vector<Real> & real_coords,
__attribute__((unused)) UInt element,
__attribute__((unused)) const ElementType & type,
__attribute__((unused)) Vector<Real> & natural_coords,
__attribute__((unused)) const GhostType & ghost_type) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
};
#define INVERSE_MAP(type) \
shape_functions.template inverseMap<type>(real_coords, element, \
natural_coords, ghost_type);
#define AKANTU_SPECIALIZE_INVERSE_MAP_HELPER(kind) \
template <> struct InverseMapHelper<kind> { \
template <class S> \
static void call(const S & shape_functions, \
const Vector<Real> & real_coords, UInt element, \
const ElementType & type, Vector<Real> & natural_coords, \
const GhostType & ghost_type) { \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(INVERSE_MAP, kind); \
} \
};
AKANTU_BOOST_ALL_KIND_LIST(AKANTU_SPECIALIZE_INVERSE_MAP_HELPER,
AKANTU_FE_ENGINE_LIST_INVERSE_MAP)
#undef AKANTU_SPECIALIZE_INVERSE_MAP_HELPER
#undef INVERSE_MAP
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::inverseMap(
const Vector<Real> & real_coords, UInt element, const ElementType & type,
Vector<Real> & natural_coords, const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
InverseMapHelper<kind>::call(shape_functions, real_coords, element, type,
natural_coords, ghost_type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct ContainsHelper {
template <class S>
static void call(__attribute__((unused)) const S & shape_functions,
__attribute__((unused)) const Vector<Real> & real_coords,
__attribute__((unused)) UInt element,
__attribute__((unused)) const ElementType & type,
__attribute__((unused)) const GhostType & ghost_type) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
};
#define CONTAINS(type) \
contain = shape_functions.template contains<type>(real_coords, element, \
ghost_type);
#define AKANTU_SPECIALIZE_CONTAINS_HELPER(kind) \
template <> struct ContainsHelper<kind> { \
template <template <ElementKind> class S, ElementKind k> \
static bool call(const S<k> & shape_functions, \
const Vector<Real> & real_coords, UInt element, \
const ElementType & type, const GhostType & ghost_type) { \
bool contain = false; \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(CONTAINS, kind); \
return contain; \
} \
};
AKANTU_BOOST_ALL_KIND_LIST(AKANTU_SPECIALIZE_CONTAINS_HELPER,
AKANTU_FE_ENGINE_LIST_CONTAINS)
#undef AKANTU_SPECIALIZE_CONTAINS_HELPER
#undef CONTAINS
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline bool FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::contains(
const Vector<Real> & real_coords, UInt element, const ElementType & type,
const GhostType & ghost_type) const {
return ContainsHelper<kind>::call(shape_functions, real_coords, element, type,
ghost_type);
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct ComputeShapesHelper {
template <class S>
static void call(__attribute__((unused)) const S & shape_functions,
__attribute__((unused)) const Vector<Real> & real_coords,
__attribute__((unused)) UInt element,
__attribute__((unused)) const ElementType type,
__attribute__((unused)) Vector<Real> & shapes,
__attribute__((unused)) const GhostType & ghost_type) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
};
#define COMPUTE_SHAPES(type) \
shape_functions.template computeShapes<type>(real_coords, element, shapes, \
ghost_type);
#define AKANTU_SPECIALIZE_COMPUTE_SHAPES_HELPER(kind) \
template <> struct ComputeShapesHelper<kind> { \
template <class S> \
static void call(const S & shape_functions, \
const Vector<Real> & real_coords, UInt element, \
const ElementType type, Vector<Real> & shapes, \
const GhostType & ghost_type) { \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(COMPUTE_SHAPES, kind); \
} \
};
AKANTU_BOOST_ALL_KIND_LIST(AKANTU_SPECIALIZE_COMPUTE_SHAPES_HELPER,
AKANTU_FE_ENGINE_LIST_COMPUTE_SHAPES)
#undef AKANTU_SPECIALIZE_COMPUTE_SHAPES_HELPER
#undef COMPUTE_SHAPES
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::computeShapes(
const Vector<Real> & real_coords, UInt element, const ElementType & type,
Vector<Real> & shapes, const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
ComputeShapesHelper<kind>::call(shape_functions, real_coords, element, type,
shapes, ghost_type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct ComputeShapeDerivativesHelper {
template <class S>
static void call(__attribute__((unused)) const S & shape_functions,
__attribute__((unused)) const Vector<Real> & real_coords,
__attribute__((unused)) UInt element,
__attribute__((unused)) const ElementType type,
__attribute__((unused)) Matrix<Real> & shape_derivatives,
__attribute__((unused)) const GhostType & ghost_type) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
};
#define COMPUTE_SHAPE_DERIVATIVES(type) \
Matrix<Real> coords_mat(real_coords.storage(), shape_derivatives.rows(), 1); \
Tensor3<Real> shapesd_tensor(shape_derivatives.storage(), \
shape_derivatives.rows(), \
shape_derivatives.cols(), 1); \
shape_functions.template computeShapeDerivatives<type>( \
coords_mat, element, shapesd_tensor, ghost_type);
#define AKANTU_SPECIALIZE_COMPUTE_SHAPE_DERIVATIVES_HELPER(kind) \
template <> struct ComputeShapeDerivativesHelper<kind> { \
template <class S> \
static void call(const S & shape_functions, \
const Vector<Real> & real_coords, UInt element, \
const ElementType type, Matrix<Real> & shape_derivatives, \
const GhostType & ghost_type) { \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(COMPUTE_SHAPE_DERIVATIVES, kind); \
} \
};
AKANTU_BOOST_ALL_KIND_LIST(AKANTU_SPECIALIZE_COMPUTE_SHAPE_DERIVATIVES_HELPER,
AKANTU_FE_ENGINE_LIST_COMPUTE_SHAPES_DERIVATIVES)
#undef AKANTU_SPECIALIZE_COMPUTE_SHAPE_DERIVATIVES_HELPER
#undef COMPUTE_SHAPE_DERIVATIVES
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::computeShapeDerivatives(
const Vector<Real> & real_coords, UInt element, const ElementType & type,
Matrix<Real> & shape_derivatives, const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
ComputeShapeDerivativesHelper<kind>::call(shape_functions, real_coords,
element, type, shape_derivatives,
ghost_type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct GetNbIntegrationPointsHelper {};
#define GET_NB_INTEGRATION_POINTS(type) \
nb_quad_points = integrator.template getNbIntegrationPoints<type>(ghost_type);
#define AKANTU_SPECIALIZE_GET_NB_INTEGRATION_POINTS_HELPER(kind) \
template <> struct GetNbIntegrationPointsHelper<kind> { \
template <template <ElementKind, class> class I, ElementKind k, class IOF> \
static UInt call(const I<k, IOF> & integrator, const ElementType type, \
const GhostType & ghost_type) { \
UInt nb_quad_points = 0; \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(GET_NB_INTEGRATION_POINTS, kind); \
return nb_quad_points; \
} \
};
AKANTU_BOOST_ALL_KIND(AKANTU_SPECIALIZE_GET_NB_INTEGRATION_POINTS_HELPER)
#undef AKANTU_SPECIALIZE_GET_NB_INTEGRATION_POINTS_HELPER
#undef GET_NB_INTEGRATION
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline UInt
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::getNbIntegrationPoints(
const ElementType & type, const GhostType & ghost_type) const {
return GetNbIntegrationPointsHelper<kind>::call(integrator, type, ghost_type);
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct GetShapesHelper {};
#define GET_SHAPES(type) ret = &(shape_functions.getShapes(type, ghost_type));
#define AKANTU_SPECIALIZE_GET_SHAPES_HELPER(kind) \
template <> struct GetShapesHelper<kind> { \
template <class S> \
static const Array<Real> & call(const S & shape_functions, \
const ElementType type, \
const GhostType & ghost_type) { \
const Array<Real> * ret = NULL; \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(GET_SHAPES, kind); \
return *ret; \
} \
};
AKANTU_BOOST_ALL_KIND(AKANTU_SPECIALIZE_GET_SHAPES_HELPER)
#undef AKANTU_SPECIALIZE_GET_SHAPES_HELPER
#undef GET_SHAPES
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline const Array<Real> &
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::getShapes(
const ElementType & type, const GhostType & ghost_type,
__attribute__((unused)) UInt id) const {
return GetShapesHelper<kind>::call(shape_functions, type, ghost_type);
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct GetShapesDerivativesHelper {
template <template <ElementKind> class S, ElementKind k>
static const Array<Real> &
call(__attribute__((unused)) const S<k> & shape_functions,
__attribute__((unused)) const ElementType & type,
__attribute__((unused)) const GhostType & ghost_type, UInt id) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
};
#define GET_SHAPES_DERIVATIVES(type) \
ret = &(shape_functions.getShapesDerivatives(type, ghost_type));
#define AKANTU_SPECIALIZE_GET_SHAPES_DERIVATIVES_HELPER(kind) \
template <> struct GetShapesDerivativesHelper<kind> { \
template <template <ElementKind> class S, ElementKind k> \
static const Array<Real> & \
call(const S<k> & shape_functions, const ElementType type, \
const GhostType & ghost_type, __attribute__((unused)) UInt id) { \
const Array<Real> * ret = NULL; \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(GET_SHAPES_DERIVATIVES, kind); \
return *ret; \
} \
};
AKANTU_BOOST_ALL_KIND_LIST(AKANTU_SPECIALIZE_GET_SHAPES_DERIVATIVES_HELPER,
AKANTU_FE_ENGINE_LIST_GET_SHAPES_DERIVATIVES)
#undef AKANTU_SPECIALIZE_GET_SHAPE_DERIVATIVES_HELPER
#undef GET_SHAPES_DERIVATIVES
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline const Array<Real> &
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::getShapesDerivatives(
const ElementType & type, const GhostType & ghost_type,
__attribute__((unused)) UInt id) const {
return GetShapesDerivativesHelper<kind>::call(shape_functions, type,
ghost_type, id);
}
/* -------------------------------------------------------------------------- */
/**
* Helper class to be able to write a partial specialization on the element kind
*/
template <ElementKind kind> struct GetIntegrationPointsHelper {};
#define GET_INTEGRATION_POINTS(type) \
ret = &(integrator.template getIntegrationPoints<type>(ghost_type));
#define AKANTU_SPECIALIZE_GET_INTEGRATION_POINTS_HELPER(kind) \
template <> struct GetIntegrationPointsHelper<kind> { \
template <template <ElementKind, class> class I, ElementKind k, class IOF> \
static const Matrix<Real> & call(const I<k, IOF> & integrator, \
const ElementType type, \
const GhostType & ghost_type) { \
const Matrix<Real> * ret = NULL; \
AKANTU_BOOST_KIND_ELEMENT_SWITCH(GET_INTEGRATION_POINTS, kind); \
return *ret; \
} \
};
AKANTU_BOOST_ALL_KIND(AKANTU_SPECIALIZE_GET_INTEGRATION_POINTS_HELPER)
#undef AKANTU_SPECIALIZE_GET_INTEGRATION_POINTS_HELPER
#undef GET_INTEGRATION_POINTS
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline const Matrix<Real> &
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::getIntegrationPoints(
const ElementType & type, const GhostType & ghost_type) const {
return GetIntegrationPointsHelper<kind>::call(integrator, type, ghost_type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::printself(
std::ostream & stream, int indent) const {
std::string space;
for (Int i = 0; i < indent; i++, space += AKANTU_INDENT)
;
stream << space << "FEEngineTemplate [" << std::endl;
stream << space << " + parent [" << std::endl;
FEEngine::printself(stream, indent + 3);
stream << space << " ]" << std::endl;
stream << space << " + shape functions [" << std::endl;
shape_functions.printself(stream, indent + 3);
stream << space << " ]" << std::endl;
stream << space << " + integrator [" << std::endl;
integrator.printself(stream, indent + 3);
stream << space << " ]" << std::endl;
stream << space << "]" << std::endl;
}
/* -------------------------------------------------------------------------- */
__END_AKANTU__
#include "integrator_gauss.hh"
#include "shape_lagrange.hh"
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
template <>
template <>
inline void FEEngineTemplate<IntegratorGauss, ShapeLagrange, _ek_regular,
DefaultIntegrationOrderFunctor>::
assembleLumpedTemplate<_triangle_6>(const Array<Real> & field_1,
UInt nb_degree_of_freedom,
Array<Real> & lumped,
const Array<Int> & equation_number,
const GhostType & ghost_type) const {
assembleLumpedDiagonalScaling<_triangle_6>(
field_1, nb_degree_of_freedom, lumped, equation_number, ghost_type);
}
/* -------------------------------------------------------------------------- */
template <>
template <>
inline void FEEngineTemplate<IntegratorGauss, ShapeLagrange, _ek_regular,
DefaultIntegrationOrderFunctor>::
assembleLumpedTemplate<_tetrahedron_10>(
const Array<Real> & field_1, UInt nb_degree_of_freedom,
Array<Real> & lumped, const Array<Int> & equation_number,
const GhostType & ghost_type) const {
assembleLumpedDiagonalScaling<_tetrahedron_10>(
field_1, nb_degree_of_freedom, lumped, equation_number, ghost_type);
}
/* -------------------------------------------------------------------------- */
template <>
template <>
inline void FEEngineTemplate<IntegratorGauss, ShapeLagrange, _ek_regular,
DefaultIntegrationOrderFunctor>::
assembleLumpedTemplate<_quadrangle_8>(const Array<Real> & field_1,
UInt nb_degree_of_freedom,
Array<Real> & lumped,
const Array<Int> & equation_number,
const GhostType & ghost_type) const {
assembleLumpedDiagonalScaling<_quadrangle_8>(
field_1, nb_degree_of_freedom, lumped, equation_number, ghost_type);
}
/* -------------------------------------------------------------------------- */
template <>
template <>
inline void FEEngineTemplate<IntegratorGauss, ShapeLagrange, _ek_regular,
DefaultIntegrationOrderFunctor>::
assembleLumpedTemplate<_hexahedron_20>(const Array<Real> & field_1,
UInt nb_degree_of_freedom,
Array<Real> & lumped,
const Array<Int> & equation_number,
const GhostType & ghost_type) const {
assembleLumpedDiagonalScaling<_hexahedron_20>(
field_1, nb_degree_of_freedom, lumped, equation_number, ghost_type);
}
/* -------------------------------------------------------------------------- */
template <>
template <>
inline void FEEngineTemplate<IntegratorGauss, ShapeLagrange, _ek_regular,
DefaultIntegrationOrderFunctor>::
assembleLumpedTemplate<_pentahedron_15>(
const Array<Real> & field_1, UInt nb_degree_of_freedom,
Array<Real> & lumped, const Array<Int> & equation_number,
const GhostType & ghost_type) const {
assembleLumpedDiagonalScaling<_pentahedron_15>(
field_1, nb_degree_of_freedom, lumped, equation_number, ghost_type);
}
/* -------------------------------------------------------------------------- */
template <>
template <>
inline void FEEngineTemplate<IntegratorGauss, ShapeLagrange, _ek_regular,
DefaultIntegrationOrderFunctor>::
computeNormalsOnIntegrationPoints<_point_1>(
const Array<Real> &, Array<Real> & normal,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_ASSERT(mesh.getSpatialDimension() == 1,
"Mesh dimension must be 1 to compute normals on points!");
const ElementType type = _point_1;
UInt spatial_dimension = mesh.getSpatialDimension();
// UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt nb_points = getNbIntegrationPoints(type, ghost_type);
UInt nb_element = mesh.getConnectivity(type, ghost_type).getSize();
normal.resize(nb_element * nb_points);
Array<Real>::matrix_iterator normals_on_quad =
normal.begin_reinterpret(spatial_dimension, nb_points, nb_element);
Array<std::vector<Element> > segments =
mesh.getElementToSubelement(type, ghost_type);
Array<Real> coords = mesh.getNodes();
const Mesh * mesh_segment;
if (mesh.isMeshFacets())
mesh_segment = &(mesh.getMeshParent());
else
mesh_segment = &mesh;
for (UInt elem = 0; elem < nb_element; ++elem) {
UInt nb_segment = segments(elem).size();
AKANTU_DEBUG_ASSERT(
nb_segment > 0,
"Impossible to compute a normal on a point connected to 0 segments");
Real normal_value = 1;
if (nb_segment == 1) {
Element segment = segments(elem)[0];
const Array<UInt> & segment_connectivity =
mesh_segment->getConnectivity(segment.type, segment.ghost_type);
// const Vector<UInt> & segment_points =
// segment_connectivity.begin(Mesh::getNbNodesPerElement(segment.type))[segment.element];
Real difference;
if (segment_connectivity(0) == elem) {
difference = coords(elem) - coords(segment_connectivity(1));
} else {
difference = coords(elem) - coords(segment_connectivity(0));
}
normal_value = difference / std::abs(difference);
}
for (UInt n(0); n < nb_points; ++n) {
(*normals_on_quad)(0, n) = normal_value;
}
++normals_on_quad;
}
AKANTU_DEBUG_OUT();
}
__END_AKANTU__
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