integrator_gauss_inline_impl.cc
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integrator_gauss_inline_impl.cc
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	/**
	* @file integrator_gauss_inline_impl.cc
	*
	* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
	* @author Nicolas Richart <nicolas.richart@epfl.ch>
	*
	* @date creation: Tue Feb 15 2011
	* @date last modification: Thu Nov 19 2015
	*
	* @brief inline function of gauss integrator
	*
	* @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/>.
	*
	*/

	__END_AKANTU__

	#include "fe_engine.hh"
	#if defined(AKANTU_DEBUG_TOOLS)
	#include "aka_debug_tools.hh"
	#endif

	__BEGIN_AKANTU__

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	inline void IntegratorGauss<kind>::integrateOnElement(
	const Array<Real> & f, Real * intf, UInt nb_degree_of_freedom,
	const UInt elem, const GhostType & ghost_type) const {
	Array<Real> & jac_loc = jacobians(type, ghost_type);

	UInt nb_quadrature_points = ElementClass<type>::getNbQuadraturePoints();
	AKANTU_DEBUG_ASSERT(f.getNbComponent() == nb_degree_of_freedom,
	"The vector f do not have the good number of component.");

	Real * f_val = f.storage() + elem * f.getNbComponent();
	Real * jac_val = jac_loc.storage() + elem * nb_quadrature_points;

	integrate(f_val, jac_val, intf, nb_degree_of_freedom, nb_quadrature_points);
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	inline Real
	IntegratorGauss<kind>::integrate(const Vector<Real> & in_f, UInt index,
	const GhostType & ghost_type) const {
	const Array<Real> & jac_loc = jacobians(type, ghost_type);

	UInt nb_quadrature_points =
	GaussIntegrationElement<type>::getNbQuadraturePoints();
	AKANTU_DEBUG_ASSERT(in_f.size() == nb_quadrature_points,
	"The vector f do not have nb_quadrature_points entries.");

	Real * jac_val = jac_loc.storage() + index * nb_quadrature_points;
	Real intf;

	integrate(in_f.storage(), jac_val, &intf, 1, nb_quadrature_points);

	return intf;
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	inline void IntegratorGauss<kind>::integrate(Real * f, Real * jac, Real * inte,
	UInt nb_degree_of_freedom,
	UInt nb_quadrature_points) const {
	memset(inte, 0, nb_degree_of_freedom * sizeof(Real));

	Real * cjac = jac;
	for (UInt q = 0; q < nb_quadrature_points; ++q) {
	for (UInt dof = 0; dof < nb_degree_of_freedom; ++dof) {
	inte[dof] += f *cjac;
	++f;
	}
	++cjac;
	}
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	inline const Matrix<Real> & IntegratorGauss<kind>::getIntegrationPoints(
	const GhostType & ghost_type) const {
	AKANTU_DEBUG_ASSERT(
	quadrature_points.exists(type, ghost_type),
	"Quadrature points for type "
	<< quadrature_points.printType(type, ghost_type)
	<< " have not been initialized."
	<< " Did you use 'computeQuadraturePoints' function ?");
	return quadrature_points(type, ghost_type);
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	inline UInt IntegratorGauss<kind>::getNbIntegrationPoints(
	const GhostType & ghost_type) const {
	AKANTU_DEBUG_ASSERT(
	quadrature_points.exists(type, ghost_type),
	"Quadrature points for type "
	<< quadrature_points.printType(type, ghost_type)
	<< " have not been initialized."
	<< " Did you use 'computeQuadraturePoints' function ?");
	return quadrature_points(type, ghost_type).cols();
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type, UInt polynomial_degree>
	inline Matrix<Real> IntegratorGauss<kind>::getIntegrationPoints() const {
	return GaussIntegrationElement<type,
	polynomial_degree>::getQuadraturePoints();
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type, UInt polynomial_degree>
	inline Vector<Real> IntegratorGauss<kind>::getIntegrationWeights() const {
	return GaussIntegrationElement<type,
	polynomial_degree>::getWeights();
	}


	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	inline void
	IntegratorGauss<kind>::computeQuadraturePoints(const GhostType & ghost_type) {
	Matrix<Real> & quads = quadrature_points(type, ghost_type);
	quads = GaussIntegrationElement<type>::getQuadraturePoints();
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	inline void IntegratorGauss<kind>::computeJacobianOnQuadPointsByElement(
	const Matrix<Real> & node_coords, const Matrix<Real> & quad,
	Vector<Real> & jacobians) const {
	// jacobian
	ElementClass<type>::computeJacobian(quad, node_coords, jacobians);
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	IntegratorGauss<kind>::IntegratorGauss(const Mesh & mesh, const ID & id,
	const MemoryID & memory_id)
	: Integrator(mesh, id, memory_id) {
	AKANTU_DEBUG_IN();

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	void IntegratorGauss<kind>::checkJacobians(const GhostType & ghost_type) const {
	AKANTU_DEBUG_IN();

	UInt nb_quadrature_points = this->quadrature_points(type, ghost_type).cols();

	UInt nb_element = mesh.getConnectivity(type, ghost_type).getSize();

	Real * jacobians_val = jacobians(type, ghost_type).storage();

	for (UInt i = 0; i < nb_element * nb_quadrature_points;
	++i, ++jacobians_val) {
	if (*jacobians_val < 0)
	AKANTU_DEBUG_ERROR(
	"Negative jacobian computed,"
	<< " possible problem in the element node ordering (Quadrature Point "
	<< i % nb_quadrature_points << ":" << i / nb_quadrature_points << ":"
	<< type << ":" << ghost_type << ")");
	}
	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	void IntegratorGauss<kind>::computeJacobiansOnIntegrationPoints(
	const Array<Real> & nodes, const Matrix<Real> & quad_points,
	Array<Real> & jacobians, const GhostType & ghost_type) const {
	AKANTU_DEBUG_IN();

	UInt spatial_dimension = mesh.getSpatialDimension();
	UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
	UInt nb_quadrature_points = quad_points.cols();

	UInt nb_element = mesh.getNbElement(type, ghost_type);

	jacobians.resize(nb_element * nb_quadrature_points);

	Array<Real>::vector_iterator jacobians_it =
	jacobians.begin_reinterpret(nb_quadrature_points, nb_element);

	Array<Real> x_el(0, spatial_dimension * nb_nodes_per_element);
	FEEngine::extractNodalToElementField(mesh, nodes, x_el, type, ghost_type);

	Array<Real>::const_matrix_iterator x_it =
	x_el.begin(spatial_dimension, nb_nodes_per_element);

	// Matrix<Real> local_coord(spatial_dimension, nb_nodes_per_element);
	for (UInt elem = 0; elem < nb_element; ++elem, ++jacobians_it, ++x_it) {
	const Matrix<Real> & x = *x_it;
	Vector<Real> & J = *jacobians_it;
	computeJacobianOnQuadPointsByElement<type>(x, quad_points, J);
	}

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	void IntegratorGauss<kind>::precomputeJacobiansOnQuadraturePoints(
	const Array<Real> & nodes, const GhostType & ghost_type) {
	AKANTU_DEBUG_IN();

	Array<Real> * jacobians_tmp;
	if (!jacobians.exists(type, ghost_type))
	jacobians_tmp = &jacobians.alloc(0, 1, type, ghost_type);
	else {
	jacobians_tmp = &jacobians(type, ghost_type);
	}

	this->computeJacobiansOnIntegrationPoints<type>(
	nodes, quadrature_points(type, ghost_type), *jacobians_tmp, ghost_type);

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type, UInt polynomial_degree>
	void IntegratorGauss<kind>::multiplyJacobiansByWeights(
	Array<Real> & jacobians) const {
	AKANTU_DEBUG_IN();

	UInt nb_quadrature_points =
	GaussIntegrationElement<type, polynomial_degree>::getNbQuadraturePoints();
	UInt nb_element = jacobians.getSize() / nb_quadrature_points;

	Vector<Real> weights =
	GaussIntegrationElement<type, polynomial_degree>::getWeights();

	Array<Real>::vector_iterator jacobians_it =
	jacobians.begin_reinterpret(nb_quadrature_points, nb_element);
	Array<Real>::vector_iterator jacobians_end =
	jacobians.end_reinterpret(nb_quadrature_points, nb_element);

	for (; jacobians_it != jacobians_end; ++jacobians_it) {
	Vector<Real> & J = *jacobians_it;
	J *= weights;
	}

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	#if defined(AKANTU_COHESIVE_ELEMENT)
	template <>
	template <ElementType type>
	void IntegratorGauss<_ek_cohesive>::precomputeJacobiansOnQuadraturePoints(
	const Array<Real> & nodes, const GhostType & ghost_type) {
	AKANTU_DEBUG_IN();

	UInt spatial_dimension = mesh.getSpatialDimension();
	UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
	UInt nb_quadrature_points =
	GaussIntegrationElement<type>::getNbQuadraturePoints();

	UInt nb_element = mesh.getNbElement(type, ghost_type);

	Array<Real> * jacobians_tmp;
	if (!jacobians.exists(type, ghost_type))
	jacobians_tmp = &jacobians.alloc(nb_element * nb_quadrature_points, 1, type,
	ghost_type);
	else {
	jacobians_tmp = &jacobians(type, ghost_type);
	jacobians_tmp->resize(nb_element * nb_quadrature_points);
	}

	Array<Real>::vector_iterator jacobians_it =
	jacobians_tmp->begin_reinterpret(nb_quadrature_points, nb_element);

	Vector<Real> weights = GaussIntegrationElement<type>::getWeights();

	Array<Real> x_el(0, spatial_dimension * nb_nodes_per_element);
	FEEngine::extractNodalToElementField(mesh, nodes, x_el, type, ghost_type);

	Array<Real>::const_matrix_iterator x_it =
	x_el.begin(spatial_dimension, nb_nodes_per_element);

	UInt nb_nodes_per_subelement = nb_nodes_per_element / 2;
	Matrix<Real> x(spatial_dimension, nb_nodes_per_subelement);

	// Matrix<Real> local_coord(spatial_dimension, nb_nodes_per_element);
	for (UInt elem = 0; elem < nb_element; ++elem, ++jacobians_it, ++x_it) {

	for (UInt s = 0; s < spatial_dimension; ++s)
	for (UInt n = 0; n < nb_nodes_per_subelement; ++n)
	x(s, n) =
	((x_it)(s, n) + (x_it)(s, n + nb_nodes_per_subelement)) * .5;

	Vector<Real> & J = *jacobians_it;

	if (type == _cohesive_1d_2)
	J(0) = 1;
	else
	computeJacobianOnQuadPointsByElement<type>(x, J);
	}

	AKANTU_DEBUG_OUT();
	}
	#endif

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	void IntegratorGauss<kind>::integrate(const Array<Real> & in_f,
	Array<Real> & intf,
	UInt nb_degree_of_freedom,
	const Array<Real> & jacobians,
	UInt nb_element) const {
	AKANTU_DEBUG_IN();

	UInt nb_points = jacobians.getSize() / nb_element;

	Array<Real>::const_matrix_iterator J_it;
	Array<Real>::matrix_iterator inte_it;
	Array<Real>::const_matrix_iterator f_it;

	intf.resize(nb_element);
	f_it = in_f.begin_reinterpret(nb_degree_of_freedom, nb_points, nb_element);
	inte_it = intf.begin_reinterpret(nb_degree_of_freedom, 1, nb_element);
	J_it = jacobians.begin_reinterpret(nb_points, 1, nb_element);

	for (UInt el = 0; el < nb_element; ++el, ++J_it, ++f_it, ++inte_it) {
	const Matrix<Real> & f = *f_it;
	const Matrix<Real> & J = *J_it;
	Matrix<Real> & inte_f = *inte_it;

	inte_f.mul<false, false>(f, J);
	}

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	void IntegratorGauss<kind>::integrate(
	const Array<Real> & in_f, Array<Real> & intf, UInt nb_degree_of_freedom,
	const GhostType & ghost_type, const Array<UInt> & filter_elements) const {
	AKANTU_DEBUG_IN();

	AKANTU_DEBUG_ASSERT(jacobians.exists(type, ghost_type),
	"No jacobians for the type "
	<< jacobians.printType(type, ghost_type));

	const Array<Real> & jac_loc = jacobians(type, ghost_type);
	if (filter_elements != empty_filter) {
	UInt nb_element = filter_elements.getSize();
	Array<Real> * filtered_J = new Array<Real>(nb_element, jac_loc.getNbComponent());
	FEEngine::filterElementalData(mesh, jac_loc, *filtered_J, type, ghost_type,
	filter_elements);
	this->integrate(in_f, intf, nb_degree_of_freedom, *filtered_J, nb_element);
	delete filtered_J;
	} else {
	UInt nb_element = mesh.getNbElement(type, ghost_type);
	this->integrate(in_f, intf, nb_degree_of_freedom, jac_loc, nb_element);
	}

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type, UInt polynomial_degree>
	void IntegratorGauss<kind>::integrate(const Array<Real> & in_f,
	Array<Real> & intf,
	UInt nb_degree_of_freedom,
	const GhostType & ghost_type) const {
	AKANTU_DEBUG_IN();

	Matrix<Real> quads = this->getIntegrationPoints<type, polynomial_degree>();

	Array<Real> jacobians;
	this->computeJacobiansOnIntegrationPoints<type>(mesh.getNodes(), quads,
	jacobians, ghost_type);
	this->multiplyJacobiansByWeights<type, polynomial_degree>(jacobians);

	this->integrate(in_f, intf, nb_degree_of_freedom, jacobians,
	mesh.getNbElement(type, ghost_type));

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type, UInt polynomial_degree>
	Real IntegratorGauss<kind>::integrate(
	const Array<Real> & in_f, const GhostType & ghost_type) const {
	AKANTU_DEBUG_IN();

	Array<Real> intfv(0, 1);
	integrate<type, polynomial_degree>(in_f, intfv, 1, ghost_type);

	Real res = Math::reduce(intfv);

	AKANTU_DEBUG_OUT();
	return res;
	}


	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	Real IntegratorGauss<kind>::integrate(
	const Array<Real> & in_f, const GhostType & ghost_type,
	const Array<UInt> & filter_elements) const {
	AKANTU_DEBUG_IN();

	AKANTU_DEBUG_ASSERT(jacobians.exists(type, ghost_type),
	"No jacobians for the type "
	<< jacobians.printType(type, ghost_type));

	Array<Real> intfv(0, 1);
	integrate<type>(in_f, intfv, 1, ghost_type, filter_elements);

	Real res = Math::reduce(intfv);

	AKANTU_DEBUG_OUT();
	return res;
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	void IntegratorGauss<kind>::integrateOnIntegrationPoints(
	const Array<Real> & in_f, Array<Real> & intf, UInt nb_degree_of_freedom,
	const Array<Real> & jacobians, UInt nb_element) const {
	AKANTU_DEBUG_IN();

	UInt nb_points = jacobians.getSize() / nb_element;

	Array<Real>::const_scalar_iterator J_it;
	Array<Real>::vector_iterator inte_it;
	Array<Real>::const_vector_iterator f_it;

	intf.resize(nb_element * nb_points);

	J_it = jacobians.begin();
	f_it = in_f.begin(nb_degree_of_freedom);
	inte_it = intf.begin(nb_degree_of_freedom);

	for (UInt el = 0; el < nb_element; ++el, ++J_it, ++f_it, ++inte_it) {
	const Real & J = *J_it;
	const Vector<Real> & f = *f_it;
	Vector<Real> & inte_f = *inte_it;

	inte_f = f;
	inte_f *= J;
	}

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	template <ElementKind kind>
	template <ElementType type>
	void IntegratorGauss<kind>::integrateOnIntegrationPoints(
	const Array<Real> & in_f, Array<Real> & intf, UInt nb_degree_of_freedom,
	const GhostType & ghost_type, const Array<UInt> & filter_elements) const {
	AKANTU_DEBUG_IN();

	AKANTU_DEBUG_ASSERT(jacobians.exists(type, ghost_type),
	"No jacobians for the type "
	<< jacobians.printType(type, ghost_type));

	const Array<Real> & jac_loc = this->jacobians(type, ghost_type);

	if (filter_elements != empty_filter) {

	UInt nb_element = filter_elements.getSize();
	Array<Real> * filtered_J = new Array<Real>(nb_element, jac_loc.getNbComponent());
	FEEngine::filterElementalData(mesh, jac_loc, *filtered_J, type, ghost_type,
	filter_elements);

	this->integrateOnIntegrationPoints(in_f, intf, nb_degree_of_freedom,
	*filtered_J, nb_element);
	} else {
	UInt nb_element = mesh.getNbElement(type, ghost_type);
	this->integrateOnIntegrationPoints(in_f, intf, nb_degree_of_freedom,
	jac_loc, nb_element);
	}

	AKANTU_DEBUG_OUT();
	}

	/* -------------------------------------------------------------------------- */
	#define INIT_INTEGRATOR(type) \
	computeQuadraturePoints<type>(ghost_type); \
	precomputeJacobiansOnQuadraturePoints<type>(nodes, ghost_type); \
	checkJacobians<type>(ghost_type); \
	multiplyJacobiansByWeights<type, \
	ElementClassProperty<type>::polynomial_degree>( \
	this->jacobians(type, ghost_type));

	template <>
	inline void
	IntegratorGauss<_ek_regular>::initIntegrator(const Array<Real> & nodes,
	const ElementType & type,
	const GhostType & ghost_type) {
	AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(INIT_INTEGRATOR);
	}

	#if defined(AKANTU_COHESIVE_ELEMENT)
	template <>
	inline void
	IntegratorGauss<_ek_cohesive>::initIntegrator(const Array<Real> & nodes,
	const ElementType & type,
	const GhostType & ghost_type) {
	AKANTU_BOOST_COHESIVE_ELEMENT_SWITCH(INIT_INTEGRATOR);
	}
	#endif

	#if defined(AKANTU_STRUCTURAL_MECHANICS)
	template <>
	inline void
	IntegratorGauss<_ek_structural>::initIntegrator(const Array<Real> & nodes,
	const ElementType & type,
	const GhostType & ghost_type) {
	AKANTU_BOOST_STRUCTURAL_ELEMENT_SWITCH(INIT_INTEGRATOR);
	}
	#endif

	#undef INIT_INTEGRATOR

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